{ "cells": [ { "cell_type": "markdown", "id": "intro-title", "metadata": { "papermill": { "duration": 0.004488, "end_time": "2026-05-16T13:52:15.930479+00:00", "exception": false, "start_time": "2026-05-16T13:52:15.925991+00:00", "status": "completed" }, "tags": [] }, "source": [ "# The Potential of N-body Simulations\n", "\n", "galpy can set up and work with the frozen potential of an N-body simulation. This allows you to study the properties of such potentials, investigate orbits, and calculate action-angle coordinates using the galpy framework. Currently, this functionality uses axisymmetrized versions of the snapshots. The use of this functionality requires [pynbody](https://github.com/pynbody/pynbody)." ] }, { "cell_type": "code", "execution_count": 1, "id": "setup-imports", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:52:15.938899Z", "iopub.status.busy": "2026-05-16T13:52:15.938661Z", "iopub.status.idle": "2026-05-16T13:52:18.310508Z", "shell.execute_reply": "2026-05-16T13:52:18.309391Z" }, "papermill": { "duration": 2.377077, "end_time": "2026-05-16T13:52:18.311264+00:00", "exception": false, "start_time": "2026-05-16T13:52:15.934187+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)\n", "import numpy\n", "from matplotlib import pyplot as plt\n", "import pynbody\n", "from galpy.potential import (\n", " SnapshotRZPotential,\n", " InterpSnapshotRZPotential,\n", " KeplerPotential,\n", ")" ] }, { "cell_type": "markdown", "id": "snapshot-simple", "metadata": { "papermill": { "duration": 0.003453, "end_time": "2026-05-16T13:52:18.318653+00:00", "exception": false, "start_time": "2026-05-16T13:52:18.315200+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Simple example: SnapshotRZPotential\n", "\n", "As a first, simple example we look at the potential of a single simulation particle, which should correspond to galpy's `KeplerPotential`. We can create such a single-particle snapshot using `pynbody` and then get its potential in galpy:" ] }, { "cell_type": "code", "execution_count": 2, "id": "de8863bf", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:52:18.327062Z", "iopub.status.busy": "2026-05-16T13:52:18.326694Z", "iopub.status.idle": "2026-05-16T13:52:18.331206Z", "shell.execute_reply": "2026-05-16T13:52:18.330296Z" }, "papermill": { "duration": 0.009978, "end_time": "2026-05-16T13:52:18.332270+00:00", "exception": false, "start_time": "2026-05-16T13:52:18.322292+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "s = pynbody.new(star=1)\n", "s[\"mass\"] = 1.0\n", "s[\"eps\"] = 0.0\n", "sp = SnapshotRZPotential(s, num_threads=1)" ] }, { "cell_type": "markdown", "id": "10ba1cec", "metadata": { "papermill": { "duration": 0.003618, "end_time": "2026-05-16T13:52:18.339607+00:00", "exception": false, "start_time": "2026-05-16T13:52:18.335989+00:00", "status": "completed" }, "tags": [] }, "source": [ "With these definitions, this snapshot potential should be the same as `KeplerPotential` with an amplitude of one, which we can verify:" ] }, { "cell_type": "code", "execution_count": 3, "id": "0eafa44d", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:52:18.348073Z", "iopub.status.busy": "2026-05-16T13:52:18.347861Z", "iopub.status.idle": "2026-05-16T13:52:18.354673Z", "shell.execute_reply": "2026-05-16T13:52:18.353580Z" }, "papermill": { "duration": 0.011969, "end_time": "2026-05-16T13:52:18.355341+00:00", "exception": false, "start_time": "2026-05-16T13:52:18.343372+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Potentials: -0.9090909090909091 -0.9090909090909091 0.0\n", "R forces: -0.8264462809917354 -0.8264462809917353 -1.1102230246251565e-16\n" ] } ], "source": [ "from galpy.potential import KeplerPotential\n", "\n", "kp = KeplerPotential(amp=1.0)\n", "print(\"Potentials: \", sp(1.1, 0.0), kp(1.1, 0.0), sp(1.1, 0.0) - kp(1.1, 0.0))\n", "print(\n", " \"R forces: \",\n", " sp.Rforce(1.1, 0.0),\n", " kp.Rforce(1.1, 0.0),\n", " sp.Rforce(1.1, 0.0) - kp.Rforce(1.1, 0.0),\n", ")" ] }, { "cell_type": "markdown", "id": "0e059d91", "metadata": { "papermill": { "duration": 0.0035, "end_time": "2026-05-16T13:52:18.362649+00:00", "exception": false, "start_time": "2026-05-16T13:52:18.359149+00:00", "status": "completed" }, "tags": [] }, "source": [ "`SnapshotRZPotential` instances can be used wherever other galpy potentials can be used (note that the second derivatives have not been implemented, such that functions depending on those will not work). For example, we can plot the rotation curve:" ] }, { "cell_type": "code", "execution_count": 4, "id": "c5770f78", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:52:18.370851Z", "iopub.status.busy": "2026-05-16T13:52:18.370533Z", "iopub.status.idle": "2026-05-16T13:52:18.892381Z", "shell.execute_reply": "2026-05-16T13:52:18.891500Z" }, "papermill": { "duration": 0.526969, "end_time": "2026-05-16T13:52:18.893241+00:00", "exception": false, "start_time": "2026-05-16T13:52:18.366272+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sp.plotRotcurve();" ] }, { "cell_type": "markdown", "id": "interp-snapshot", "metadata": { "papermill": { "duration": 0.003517, "end_time": "2026-05-16T13:52:18.900714+00:00", "exception": false, "start_time": "2026-05-16T13:52:18.897197+00:00", "status": "completed" }, "tags": [] }, "source": [ "## InterpSnapshotRZPotential\n", "\n", "Because evaluating the potential and forces of a snapshot is computationally expensive, most useful applications of frozen N-body potentials employ interpolated versions of the snapshot potential. These can be set up in galpy using `InterpSnapshotRZPotential`.\n", "\n", "To illustrate its use we will make use of one of `pynbody`'s example snapshots, `g15784`. This snapshot is used in the [pynbody quickstart tutorial](https://pynbody.readthedocs.io/latest/tutorials/quickstart.html) and can be downloaded from [Zenodo](https://zenodo.org/records/12687409).\n", "\n", "Once you have downloaded the testdata, load and prepare the snapshot:" ] }, { "cell_type": "code", "execution_count": 5, "id": "fc2e057e", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:52:18.911770Z", "iopub.status.busy": "2026-05-16T13:52:18.911567Z", "iopub.status.idle": "2026-05-16T13:52:20.207657Z", "shell.execute_reply": "2026-05-16T13:52:20.207119Z" }, "papermill": { "duration": 1.302286, "end_time": "2026-05-16T13:52:20.209264+00:00", "exception": false, "start_time": "2026-05-16T13:52:18.906978+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "pynbody.halo : Unable to load AHF substructure file; continuing without. To expose the underlying problem as an exception, pass ignore_missing_substructure=False to the AHFCatalogue constructor\n" ] } ], "source": [ "s = pynbody.load(\"gasoline_ahf/g15784.lr.01024.gz\")\n", "\n", "# Get the main galaxy, center, and align face-on\n", "h = s.halos()\n", "h0 = h[0]\n", "pynbody.analysis.faceon(h0)\n", "\n", "# Convert to physical units with G=1\n", "s.physical_units(mass=\"kpc km**2 s**-2 G**-1\")" ] }, { "cell_type": "markdown", "id": "dd3b6de6", "metadata": { "papermill": { "duration": 0.005372, "end_time": "2026-05-16T13:52:20.220616+00:00", "exception": false, "start_time": "2026-05-16T13:52:20.215244+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can now load an interpolated version of this snapshot's potential into galpy:" ] }, { "cell_type": "code", "execution_count": 6, "id": "842edc19", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:52:20.233085Z", "iopub.status.busy": "2026-05-16T13:52:20.232881Z", "iopub.status.idle": "2026-05-16T13:53:19.307648Z", "shell.execute_reply": "2026-05-16T13:53:19.306766Z" }, "papermill": { "duration": 59.082489, "end_time": "2026-05-16T13:53:19.308676+00:00", "exception": false, "start_time": "2026-05-16T13:52:20.226187+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "spi = InterpSnapshotRZPotential(\n", " h0,\n", " rgrid=(numpy.log(0.01), numpy.log(20.0), 101),\n", " logR=True,\n", " zgrid=(0.0, 10.0, 101),\n", " interpPot=True,\n", " zsym=True,\n", ")" ] }, { "cell_type": "markdown", "id": "034421df", "metadata": { "papermill": { "duration": 0.003803, "end_time": "2026-05-16T13:53:19.316701+00:00", "exception": false, "start_time": "2026-05-16T13:53:19.312898+00:00", "status": "completed" }, "tags": [] }, "source": [ "where we further assume that the potential is symmetric around the mid-plane ($z=0$). Depending on the size of the simulation, this instantiation can take a long time. This potential instance has *physical* units (and thus the `rgrid=` and `zgrid=` inputs are given in kpc if the simulation's distance unit is kpc). For example, if we ask for the rotation curve:" ] }, { "cell_type": "code", "execution_count": 7, "id": "ac6589bf", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:53:19.325419Z", "iopub.status.busy": "2026-05-16T13:53:19.325231Z", "iopub.status.idle": "2026-05-16T13:53:26.101907Z", "shell.execute_reply": "2026-05-16T13:53:26.100832Z" }, "papermill": { "duration": 6.78201, "end_time": "2026-05-16T13:53:26.102600+00:00", "exception": false, "start_time": "2026-05-16T13:53:19.320590+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spi.plotRotcurve(\n", " Rrange=[0.01, 19.9],\n", " xlabel=r\"$R\\,(\\mathrm{kpc})$\",\n", " ylabel=r\"$v_c(R)\\,(\\mathrm{km\\,s}^{-1})$\",\n", ");" ] }, { "cell_type": "markdown", "id": "natural-units", "metadata": { "papermill": { "duration": 0.003855, "end_time": "2026-05-16T13:53:26.110754+00:00", "exception": false, "start_time": "2026-05-16T13:53:26.106899+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Converting to natural units\n", "\n", "Because galpy works best in a system of *natural units*, we can convert the interpolated snapshot potential to natural units using `normalize()`. For example, using the circular velocity at $R = 10$ kpc:" ] }, { "cell_type": "code", "execution_count": 8, "id": "3b5e4e27", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:53:26.119587Z", "iopub.status.busy": "2026-05-16T13:53:26.119359Z", "iopub.status.idle": "2026-05-16T13:53:26.134251Z", "shell.execute_reply": "2026-05-16T13:53:26.133316Z" }, "papermill": { "duration": 0.020343, "end_time": "2026-05-16T13:53:26.135064+00:00", "exception": false, "start_time": "2026-05-16T13:53:26.114721+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Vcirc at R=10 kpc: 294.6732646339408\n" ] } ], "source": [ "print(\"Vcirc at R=10 kpc:\", spi.vcirc(10.0))\n", "spi.normalize(R0=10.0)" ] }, { "cell_type": "markdown", "id": "3b870ed5", "metadata": { "papermill": { "duration": 0.004052, "end_time": "2026-05-16T13:53:26.143486+00:00", "exception": false, "start_time": "2026-05-16T13:53:26.139434+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can then plot the rotation curve again, keeping in mind that the distance unit is now $R_0$:" ] }, { "cell_type": "code", "execution_count": 9, "id": "cd89ffa1", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:53:26.152271Z", "iopub.status.busy": "2026-05-16T13:53:26.152073Z", "iopub.status.idle": "2026-05-16T13:53:32.792705Z", "shell.execute_reply": "2026-05-16T13:53:32.791848Z" }, "papermill": { "duration": 6.646277, "end_time": "2026-05-16T13:53:32.793760+00:00", "exception": false, "start_time": "2026-05-16T13:53:26.147483+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spi.plotRotcurve(Rrange=[0.01, 1.99])" ] }, { "cell_type": "markdown", "id": "9a2b3f4a", "metadata": { "papermill": { "duration": 0.004156, "end_time": "2026-05-16T13:53:32.802466+00:00", "exception": false, "start_time": "2026-05-16T13:53:32.798310+00:00", "status": "completed" }, "tags": [] }, "source": [ "In particular, `spi.vcirc(1.)` now returns `1.0`. We can also plot the potential:" ] }, { "cell_type": "code", "execution_count": 10, "id": "3314acc8", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:53:32.811840Z", "iopub.status.busy": "2026-05-16T13:53:32.811640Z", "iopub.status.idle": "2026-05-16T13:53:49.568326Z", "shell.execute_reply": "2026-05-16T13:53:49.567133Z" }, "papermill": { "duration": 16.762408, "end_time": "2026-05-16T13:53:49.569088+00:00", "exception": false, "start_time": "2026-05-16T13:53:32.806680+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spi.plot(rmin=0.01, rmax=1.9, nrs=51, zmin=-0.99, zmax=0.99, nzs=51)\n", "plt.gca().set_aspect(1.0);" ] }, { "cell_type": "markdown", "id": "dba03c17", "metadata": { "papermill": { "duration": 0.004438, "end_time": "2026-05-16T13:53:49.578435+00:00", "exception": false, "start_time": "2026-05-16T13:53:49.573997+00:00", "status": "completed" }, "tags": [] }, "source": [ "This simulation's potential is quite spherical, which is confirmed by looking at the flattening:" ] }, { "cell_type": "code", "execution_count": 11, "id": "4d699a67", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:53:49.588777Z", "iopub.status.busy": "2026-05-16T13:53:49.588539Z", "iopub.status.idle": "2026-05-16T13:53:49.618951Z", "shell.execute_reply": "2026-05-16T13:53:49.618008Z" }, "papermill": { "duration": 0.036624, "end_time": "2026-05-16T13:53:49.619629+00:00", "exception": false, "start_time": "2026-05-16T13:53:49.583005+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flattening at R=1.0, z=0.1: 0.8631229510097888\n", "Flattening at R=1.5, z=0.1: 0.9430920419468051\n" ] } ], "source": [ "print(f\"Flattening at R=1.0, z=0.1: {spi.flattening(1.0, 0.1)}\")\n", "print(f\"Flattening at R=1.5, z=0.1: {spi.flattening(1.5, 0.1)}\")" ] }, { "cell_type": "markdown", "id": "96b24fdc", "metadata": { "papermill": { "duration": 0.004448, "end_time": "2026-05-16T13:53:49.628975+00:00", "exception": false, "start_time": "2026-05-16T13:53:49.624527+00:00", "status": "completed" }, "tags": [] }, "source": [ "The epicycle and vertical frequencies can also be interpolated by setting the `interpepifreq=True` or `interpverticalfreq=True` keywords when instantiating the `InterpSnapshotRZPotential` object." ] }, { "cell_type": "markdown", "id": "17c2de27", "metadata": { "papermill": { "duration": 0.004402, "end_time": "2026-05-16T13:53:49.638007+00:00", "exception": false, "start_time": "2026-05-16T13:53:49.633605+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Estimating action-angle coordinates in the N-body simulation\n", "\n", "Once we have set up the interpolated potential of an N-body simulation, we can\n", "use galpy's action-angle machinery to compute actions for simulation particles.\n", "This is a powerful way to characterize the orbital structure of the simulated\n", "galaxy. Here we use `actionAngleStaeckel`, the most accurate general method\n", "for axisymmetric potentials. We need to re-instantiate the interpolated\n", "potential with `enable_c=True` so the action-angle calculation can use the\n", "fast C implementation:" ] }, { "cell_type": "code", "execution_count": 12, "id": "1c6dba6d", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:53:49.648426Z", "iopub.status.busy": "2026-05-16T13:53:49.648196Z", "iopub.status.idle": "2026-05-16T13:54:48.732549Z", "shell.execute_reply": "2026-05-16T13:54:48.731581Z" }, "papermill": { "duration": 59.090477, "end_time": "2026-05-16T13:54:48.733285+00:00", "exception": false, "start_time": "2026-05-16T13:53:49.642808+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "spi_c = InterpSnapshotRZPotential(\n", " h0,\n", " rgrid=(numpy.log(0.01), numpy.log(20.0), 101),\n", " logR=True,\n", " zgrid=(0.0, 10.0, 101),\n", " interpPot=True,\n", " zsym=True,\n", " enable_c=True,\n", ")\n", "spi_c.normalize(R0=10.0)" ] }, { "cell_type": "markdown", "id": "98f5d82e", "metadata": { "papermill": { "duration": 0.004493, "end_time": "2026-05-16T13:54:48.742754+00:00", "exception": false, "start_time": "2026-05-16T13:54:48.738261+00:00", "status": "completed" }, "tags": [] }, "source": [ "Now we load a pristine copy of the simulation (because the normalization\n", "above can lead to some inconsistent behavior in pynbody) and select star\n", "particles in a radial ring near $R = 8\\,\\mathrm{kpc}$:" ] }, { "cell_type": "code", "execution_count": 13, "id": "ccc232fc", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:54:48.752969Z", "iopub.status.busy": "2026-05-16T13:54:48.752794Z", "iopub.status.idle": "2026-05-16T13:54:50.179586Z", "shell.execute_reply": "2026-05-16T13:54:50.178641Z" }, "papermill": { "duration": 1.432855, "end_time": "2026-05-16T13:54:50.180308+00:00", "exception": false, "start_time": "2026-05-16T13:54:48.747453+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "pynbody.halo : Unable to load AHF substructure file; continuing without. To expose the underlying problem as an exception, pass ignore_missing_substructure=False to the AHFCatalogue constructor\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Selected 12926 star particles\n" ] } ], "source": [ "sc = pynbody.load(\"gasoline_ahf/g15784.lr.01024.gz\")\n", "hc = sc.halos()\n", "hc0 = hc[0]\n", "pynbody.analysis.faceon(hc0)\n", "sc.physical_units()\n", "\n", "# Select stars in a radial ring near R = 8 kpc\n", "sn = pynbody.filt.BandPass(\"rxy\", \"7 kpc\", \"9 kpc\")\n", "R, vR, vT, z, vz = [\n", " numpy.ascontiguousarray(hc0.s[sn][x]) for x in (\"rxy\", \"vr\", \"vt\", \"z\", \"vz\")\n", "]\n", "\n", "# Convert to natural units\n", "ro, vo = 10.0, spi_c.vcirc(1.0, use_physical=False) * 294.67\n", "R /= ro\n", "z /= ro\n", "vR /= vo\n", "vT /= vo\n", "vz /= vo\n", "print(f\"Selected {len(R)} star particles\")" ] }, { "cell_type": "markdown", "id": "537f84a3", "metadata": { "papermill": { "duration": 0.004521, "end_time": "2026-05-16T13:54:50.189780+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.185259+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can integrate a random orbit from this selection to see what it looks like:" ] }, { "cell_type": "code", "execution_count": 14, "id": "d22126f1", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:54:50.200054Z", "iopub.status.busy": "2026-05-16T13:54:50.199861Z", "iopub.status.idle": "2026-05-16T13:54:50.436512Z", "shell.execute_reply": "2026-05-16T13:54:50.435464Z" }, "papermill": { "duration": 0.242815, "end_time": "2026-05-16T13:54:50.437251+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.194436+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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T9Fqs9HZZR1SwnA9nO26YtwtF9R1D3n8m4T4uvHlPymWZdjsTUSyJiIiIiFwQzZ29FDd0UtLQQUlDJ8UDxNFI1bmIDEYhk+DjqsJFJcdFJUetkNJlslLS0HFeA2vPF2dCSSKBuRN8qG/v4VhFq8N9hXUdXP3PHTw4L4Ll8YGXtWgS03AXwdq1a1m7di0Wi4W8vDwxDSciInJFYbPZqGvvEQRQSUMHxQ2dlPZ9v1TRD5Hxg9FDQ2NHr5AqXDjJj98vmcynRyr5365CmvrEm8FdzQPzIrg1KWhcjYEZbhpOFEsjgFizJCIicrlitdqobu2m2El0qKShg87esauXEbm88XJR8rdbY0kN80KjlNHRY+a9A6W8uLOQujZ7pNFHp+L+OeHcnhI8LswoRbE0hohiSUREZLxT397D8cpWQRQJUaLGzlHvhhL5bqGUSUkK9WR2lA+zo7yJ8HFlw6EyXtheQGWfT5anVsEPZoezOi0EN7Xikq1VFEtjiCiWRERExhONHb0crWjhaHlz3/cW4SQlMv6QSSW4KGW49tUg2b9kuCjluKrkaJQyuk1WWrp62VfYKDhqjxdclDKC9Fr83dWcqmkfNHZG76JkZqQ3syO9MVttvLizgJKGTgB0ajl3zwjl7plheLoox3ztolgaQ0SxJCIicqlo6TRxtKKFIxXNHKto4Uh5C+VNozsjTUTkJ1dF0tZtZlNmOa3dp8ehzJ/oS1qEFxJgb0ED+wobHMRdcpiev98Sy6GSJp7flk9+bTsAWqWM1akhfH92GL66sbMZEMXSGCKKJRERkbGgtdvEsb5I0ZGKFo5VtAhX6FcyKrnU7lwtOFjL0anl6FSnb9Op7VEYiUSCWXCwPj0qpNdsxWwdcFvf99PbWOk12/q2cbadfT8msxWT9fR9vX33fVfPpO4aBSFeWiqbu6hvP20manBXs3J6MCsSjFS3drMzr47X9hTT3mPGQ6vg6ZumsXCSH1tyqnluaz7Hq+yddDq1nI9+NJMIH9cxWb8olsYQUSyJiIiMNO09ZnIqWuxRo/IWssubr1hhtHiqP/Mm+DoIn/6RHjq14rJoObdYB4iqfoHVJ64GirT+782dJsqb7DVjZY327+VNXfRcYfVjUgnMn+jLquRgwnxc+Nn6wxwpbwHgrrQQHl08CZVcytaTtTy1+SR5Ne1cM9mPl9Ykjcn6RLE0hohiSURE5GLo7DVzvLKVI+V2cbQlp/qK7UJzUcq4Ic7I0mkBpIR7IZNKLvWSxg3Nnb384+s83kwvuWRr8HJRnnXcjKtKzhSDGxqljMNlzefl6+TvpmZ5gpHShk4+P1oFwKQAN55bFU+kryunatpY9OxOrDb44IE0kkL1F/18zoUolsYQUSyJiIgMl26TheNVrRwtbyGjpIlPsysv9ZIA+0my22QRJs2PJBqFjMVTA1gSG8CsSG8UsvEfKRpLKpu7eGV3Ee8dKBVEstFDw00JRnotNjZklDkIGB+dSmjFH02i/XX8/JqJaJUydufX88nhSofibW9XFUtjA0gK0dPabeKV3UVCDdKZeGoVgueSpE8f96sPjULGEzdO4ZbEQB7ddJR1B8tICPZg4w9nIJGMrpgWxdIYIoolERERZ/SYLZysauNQSROfZFeOizloUgmkhHkR4euCVCIhu7yF7FFYl0ou5Zop/iydFsCcCT7jyohwvJBb3caLOwv45HAlZqv9VBztr+P6qQHUtHWz8VCFYPZo9NCwaIo/DR09fHG0CpNlbE/dQXoNsYEeWG02ux9XfYeDsA710nJDnJEb4wwoZVLueu0AhXWOjt93zwwlt7qNvQUNTo9xQ6yBny6IYslzu+g2WXnhzkSujfEf1ecliqUxQHTwFhER6afXbCW3uo3PjlSy7mDZqLtbJwR7EOnrSpCnliC9lkBPu5NyRkkTW3KqHeqbFDIJqeFe+LiqAMgoaaK0ceTrn+RSCQsm+bI01sBV0b7jwnRwvGGz2dhf1MiLOwrYllsn3J4W7sXMSC9OVLfx5dEq+rQTUwxuXDPZn+KGDj7JrsRiPfsp+6poX/Jr24XX10enIsBdPagA29tVNeRImkkBbvjoVOjUcvKq28ivax9UwC6RMGRR+1SjOzfGGZhicGfVy/sc7nNTy3njnmQ251TzQUb5oJRfsF5LqLcLO/PqCPd2YcvP5oxqJFIUS2OIGFkSEfluYbJYOVXTTmZpE+8dKCWnsvXcD7oAkkI8SQnXE6zXCqIowF2NvO/kYbHayChu5Mtj1WzJqaZqgJeSSi5leqgeF5UMixUyShpHbW7Y/Ik+LI01cPVkP3SX0GBwPGOx2vj6eDUv7CgUIowSCVw7xZ9ofzf2FTaQXng64jI7ypuron05XNbMp9mVnEMjsSo5mEMljeTV2NNgHloF/m5q6tt7BVFkcFfzo6sicVXJeWZLroPFxEQ/HbVt3UKqDEAplzIzwou0CC98dCoqmrrIKm3mcFnzIJHj7arC313Fiao2QdBJJHYR2GWykFXa7LD9HSnB/Pq6aO585YAQ2dQqZYNq9f64LIbVqSFnf/IXgSiWxhBRLImIXLmYLVYK6jrILm9m3YFSMs/40L9YJge4MT/ah6QQPUF6DYGe2rOmrEwWK/sKG/jyWDVf5dQ4RAdclDKmGN1RyqSYLFayyppHzZ17ZqQXS6cZWDTF/5KYCV4udPaa2XionFf3FAuDaJVyKcviDPi7qfnqeA0nq9sAu0/RDbEGUsL07DxVx5fHqs9pSfDQgii259aS3ddh5qqS4+umorXLLLw3fHUqfnxVJLGBHjz55Qn2FTYCEOCu5tfXRXNDrEGwXDhU0sTXx2v4+kTNoO7LuCAPrp7sxzWT/VDJZRwqbeSNvSWC+FPJpVwb40+Qp5Z9hQ1klDQJjx0qEvXHZTG8tLOAssYuIn1dCdFr+fZkrXC/3kXJzl/Nx1U1OlFKUSyNIaJYEhG5MrBYbRTWtfPugVJe21M8YvsN9dIyP9qXq6J9mRbogbvm/KIvPWYLu0/V8+Wxar45UeMQIXJTy0kI8cRmg+YuE0fKm0fN82d6qCdLYw1cFxOAj041Oge5Qqho7uLN9GLe218qmDa6qeWsSAhEJZfy8eFKqlvtkUAXpYxbpwcR5u3CZ0eqOFDUeM79P3b9JL45USMIH5Vciq+bis4eixD18XZV8sN5kVwX48/abfm8d6AUq82+7QNzI7h/bviQqVKbzcap2na+Pl7DV8drBtW1hXppuXqyH1dP9qejx8xzW08JFxJKuZTbk4NZMi2A/UWNfHy4Qoh4nYvFU/2ZEeHN7z8+JkTTHloQxc+unjCsx58volgaQ0SxJCJyeVLW2Mm/vz3FhkPlF70vhUzCivhA5kf7khbuhbv24tJRnb1mduTaowtbT9Y6uCB7uShJi/BCKpFQ19bDgeLGc9ayXCixge4sjTWweGoABg/NqBzjSiKztIlXdhex+Vi18JqEeGlZPDWA9m4zH2VV0Nb3WvroVNyeHIxGKeP9jLJBBdHO+M3iaD4/UiVEkhQyCXoXJb1mq5BC89QqeGBuBDfEGXhnXymv7y0W3j9LpgXw6+uiCfTUntfzqmnt5psTNXx9vIa9+Q30Wk5HLPUuSq6K9sVFKSOjpElISytlUlZOD+KH8yJo6TLx0eEK3t1fSlv32ce13D8nnOKGDrbk1AD29Nz2X84bFWdvUSyNIaJYEhG5PCiu7+D7bxykYBgnpaFwUcr42dUTSA7TE+HjissIpgdau01sPVHLl8eq2JFXR7fp9AnJ303N3Ak+KOVSqlq62JlX73DCGkmi/XUsjTWwdJqBYK/zO6l+FzFZrHx5rJpXdxc5dDymhXsxe4I3+bXtfJpdKXSwRfi4cHNiEO09JtYdKDurrxHYXa0fmBvBh1kVQmu+Ui5Fr1XS2WsWIlfuGgX3zQlnebyRdX3R0X5hNsXgxu+XTCYl3Ouin297j5mdeXV8fbyGrSdrHZoZVHIpcqnEoVNOIZNwa5JdNHX1Wrjr1QNUtnTjppbj66Z2ajcQ4K52qMG7b044v1k86aLXfiaiWBpDRLEkIjL+aOky8cbeYv7xdd4F72PxVH/unhnGVKP7qLW+N3X08vXxGr48VsWeM67Yg/QaFkT74aKSUdLQydaTtaNmVhnqpeXGOCNLYwOI9NWNyjGuNJo7e3nvQBlvphcLJ3alTMoNcQamGNzYdaqerQPqb5JD9VwzxY/C+g42ZZY7iGFnGD003JoUxPsZZYK/kU4lx+ipoaXLJBxTp5Lz/dlh3JIUxIaMMl7ZXSREb6L9dTy8cALXTPZDOgoGoGaLlQPFjfY6p+M1Z51LqJBJuDkxkJsSAvnth8fIrWlDp5Lz68XR/PbDY2c9zq1JgTx9c+xIL18US2OJKJZERC4dvWYrRyta+ORwBW9chPPxyqQgHl0cjYd29IuVa9u62ZJTw+ZjVewrdEyhRfi4cM0Ufzw0CvJr29mSUy1EDkYaF6WMFQmBrEgwEhfkMeoGgFcK+bXtvLaniI0DBI+3q5Lbk4Px1qnYmFkh1PhIJLBosj9JoZ4cLG7kq+M1Qk2ZWiF1KpiifF25erIf6w+WDag/UhHl60ptW7cQGXVRyrh7Zhi3JQexKbOC/+0qFN4rE/10PLwwikVT/EdFJDnDZrNxsrqNb47X8PnRKqFwXaeWY3DXkFtj/10ulXD1ZD+yy5qpbOlGKZPy91tjqW7p5s9fnHC675dWJ3LNlJH3XBLF0hgiiiURkbGjtrWbt/aV8NzW/Avex23Tg7hvTjjhYzSsE+wFv5uPVbP5WBUZJU0ORdiTA9xYNMUfXzcVJ6pa+eJolYMnzkizcJIfNycamR/ti0oumkUOB5vNxq5T9by6p4jtA/yRov113JEaQo/Jwlv7SoQOMpVcyoqEQIL1Wr4+Xu3QRTnUSJHYQHcSQjzZkFEu1BgF6TVMNbpT2tjJsQp7LZBGIWPNjBDuTAnhk+xKXt5VKBT9R/m68tDCKBbHBIyZSHKG1Wrjld1FPLMll16LFW9XJbckBXGsooVdp+oHbS+RwO+un8wfPjvudH8n/3jtqER3RbE0BoimlCIio0tHj5kdeXW8uLPwgl2mo/11/OKaiSSH63EbYw+govoOvjxWxeZj1cLw0H7igjy4LsafQE8t2eXNfJZdSeWAGo2RZqrRnRUJRm6INeDlKnayDZduk4UPsyp4dXcRp/pqayQSWBDtx4oEI7nVbby1r4TGPvHjoVVwa1IQGoWMjw5XCOJJKbN3qzlLU6WE6Qn3cWFjZoVg9TDRT0diqCd51W1CC75KLuXO1BDWpIXw+dEqXt5ZKBR1R/i48NDCCVw/NWBczds7UdXKz9YfFqJMq5KDuX5qAC/tKmRnXt2g7VPC9Ox30g1Y/NfrR2V9olgaQ8TIkojIxdPRYyanslXomLlQHpwXwaIp/kw2uI35DDKbzUZeTbsgkPpPEGA/wU4P1XNdjD8RPq5kFDfy6ZEqwXtnNPDVqVgeb2RFQiAT/cU6pPOhprWbt9JLeGd/iSBIXJQybkkK4qpoX74+XsOGQ2VCGi1Ir2FZnJHOXgsbM8uFSI+7RoG3q9JpU8HsKG88tUo+O3LadDIh2IO0CC8OlzWzJ99uUqmUSVmVHMT3ZoaxJaeal3YWCuIs3NuFny6IYmmsYVyJpIF0myz8bUsu/9tdBNjr4/65Mg6Af35zyqloOpPcP107KlFQUSyNIaJYEhE5P/qF0cHiRp7ZkntR+/rVtRO5fmoAwXrtJam5sdlsHKtoFQRS4QDxI5dKSIvw4toYfyYFuJFe0MCn2ZUOImqkUSukLJriz4qEQGZFeo/bE+h45Wh5C6/sLuSzI1XCvDajh4bvzQgl3MeFDw6VsyWnWhA3U43uLJjkS3lTF59kVwqRoSC9BqsVh8Gz/SyI9sUGDsXfcyb4MDvSmz0F9UKaTy6VcOv0IL4/K4ytJ2p5cWeBkJ4N9dLy0wVR3BBrEBzdxzt78+v5+YZsqlq6kUkl/Hh+JD+aH8k9rx9kd/7g1NxAxMjSFYAolkREhqZfGB0ua+KNvSVOTx7nwy8XTWRVcjD6S+gabbXayCpr4suj1WzOqXZIrShlUmZHeXNtjD+xQR7sOlXPp2MwRDc5TM/NCYFcN9VfHDlynlisNr7KqebVPUUcLD7tOj091JM7U0PoMVt5M71YqBkCmDfRh9hAD45WtDiInskBbpyqbXM66PaayX40d5o4UGxPM0kksDgmgBijO7tO1QkDZmVSCTclGLlvTjjbc+t4YUeh4MYdrNfyk6siWR5vvGxE0kBaOk387uNjfJJdCdjT0b++LpoH3j5Ec6eJGKMbhXUdg7o+jzx+zaik0UWxNIaIYklExE6/MDpa0cLR8mY+Olx50fv8xTUTuGtG6LgQACeqWtmUWc4n2ZXUtJ4eM6JRyJgf7cO1MQHEB3mw81Qdn2ZXsr+ocdTctMFudrgi3t7NFqQX/ZDOl9ZuE+8fLOP1vcWC4JVLJSyZFsCNcUayy5t5e1+pIFRUcik3xBrwd1ezI69OqEOTSGBaoMeQdXXL4gycqm0XzBoVMgk3xhkJ1mvZklMt3C6TSrgxzsD9cyLYW1DPf7YXUNdmP3agp4afXhXF8gTjmKeXR4OPD1fw2EfHaOs2o1HImB6mZ2deHRIJ/HbxJP70uWNX3Hv3ppIWcfEeUWciiqUxRBRLIt9FzhRGRytaLsrsEUAqgYcXTuDO1JBLGjkaSF1bDx8frmBjZgUnqk5HFnQqOQsm+XJtTACJIZ7szKvj0yOV7D5VL6RvRgOdWs6SaQZuSjCSGOIptvtfAMX1Hby+t5gNGWWCeaKnVsEdKSEkhnjy+dEqPjlcKXhe+bmpuCkhEJlUwqbMCiE6qpJLifR1HXKQ8urUEHadqqO4r8hbo5CxIsGIh1bBp9lVlDaevn3l9CDWpIWw61Q9/9meL4hxo4eGn1wVyU2JgVeESBpIRXMXv3g/22GA8FA8c/M0bkkKGvE1iGJpDBHFksiVzmgIo34eWhDFigQjIV4uI7K/kaDbZOGbEzVsPFTOzlP1gg+SUiZlwSRflscbSQn3Yndfim1rbu2oDawFe8RhTpQ3NyUGsnCS36gZZF7J2Gw20gsbeHV3Md+ePO11FOXr2he5lPPu/lKHTqy4IA+WTAuguqWb9RllgtGj3kWJRiFzmlLuH22yKbNcEDzuGgXL441IJRI+Plwh2AZ4ahXcNSOUVcnBfHW8hrVb84V5cQZ3NT+6KpJbEoNQyq8skTSQMy0GhmLjD9NIDNGP+PFFsTSGiGJJ5Eqif4DmrlP1gjAqrO8YsXTSg/MiuHqyH9MCPcZV8bHNZuNQSRMbM8v57EiVw/yq+GAPViQEcu0Uf46UN/NpdiVfH69xGOkwGkT767g5MZAb4gyjMhfru0CP2cInhyt5dU+xQ2Rw3kQfbkkMorK5izfSHdNw100NYGaEFweLm/gku0KoPwrSa6hu6R6yHinS15V3D5QKnXB+biqWTDPQ2Wvm48OVQh2O0UPDvbPDWJ4QyGdHKlm7NV+wjfB3s4ukW5MCv1MeWCeqWnl43WHBuPJMkkP1vP9A2ogfVxRLY4golkQudzp7zaQXNLAtt5ZtJ+suugh7IN+bEcqcCd6khHmN6By1kaKssZONmeV8mHXaEwfsJ7Tl8UZujDNQ29bDp9mVfHms2mEO1mjg7apiWZyBFQmBTDaInycXSl1bD+/sL+HtfSVCB5laIeXmxEDmTfBl16k6NhwqFwSMp1bBquRgwn1c+SS70qGdfYKfK3k1g+eXAfxofgRdvVbeO1BKl8m+r1AvLQsm+VHX1sMXR0931UX763hgbgTXxvjzYVYFz2/NF/7X/NxUPDgvkpXTg76zkcNuk4XF/9415EDh0eiIG+75e/x9comIiIwJJQ0dbDtZy9bcOvYVNoxYGmnOBB9ujDUwM9Ibf/fxGQ1p7Tbx5dEqNh6qEDqTwO6jc93UAFbEG1HIpXx+pIpVL+8XCnxHC6VcytWT/bg5IZDZUd6XZZfTeOF4ZSuv7ilyqDnyd1OzZkYIQZ5aPsyq4AdvZgjbT/BzZXVaKHKphDfTS/jP9gLAXj8X4ePKqdp2p0LpryumklnaxEs7C4VI0+QAN1LC9RTXd/BKn6cQQGq4ngfmRjAz0psPMytY+I8dQiTLR6fiwXkRrEoO/s6KpIH0F7SPN0SxdBEMdPAWERnv9JgtHCxq6ose1Tr4AV0sv7hmAgsn+zHRTzdkwbHVasNstWGx2jBbrX3fbcJ3s8V6+nfL0NtZrNYB99u3Gfi7w3ZWGxaL/fces5UdeXUOqZgz0akVfHConA8OlY/Y3+ZsJIZ4clNCINdPDcBde+m7/S5XLFYbW0/W8uruIodi4dggD+5IDqbbbOHtfSWC6JFI4KqJvtySFEhJQyf/2ZYvDKXVKGR4ahVUtnQLjt39+LupeeLGKXx8uIJHPzwqpKaTQ/VEB+jIqWzltT3FwjEWTfbn/rnhTDW682FWBQv+vkMo6vZ2VfHA3HDuTA0RRRL2gbw/fS/LIf09kBXxxjFekSNiGm4EENNwIuOVqpYutufW8e2JWr45UTPi+w/x0iKTSASRYrKcKW5O/y5+0jgikdgNDXVqOTqVAp1ajqtajk6twE0tt9+uVgjfXVXyvtsVqBVSsQsOaO8x80FGGa/tLRZSqDKphGtj/Ll+agBHK1p4b0ANUb8D98JJfuzIq+W9A2XCDDYvFyWt3San9UhXT/bj9uRgXt1T5DDXbM4EH4weGjKKGwVhpZRJWZFg5N454YTotXx8uJLntp4SOuK8XJQ8MDeCO1ND0ChFkQT2C6lfbTxy1ouUN+9JZs4EnxE/tpiGExH5DmK2WMkqa2bLsWphtMBoMrDGR+T8sNkYNC9uuMilEgcx5ao6i8jqu83tjNtdlLLLVnAV13fwZnoJGzLKaOsTO25qOatSgplqdGfzsWp+8l6W0MUYpNdwV1oowXotGzPLWfPqfsGB2+ihoaK5y+lg24cWRBHh68pre4q4+/WDgD09d1W0H55aBbvz64XaJp1Kzu2pwdwzMwxPrZJPsiu5940MIYKrd1Fy35xw1qSFoFWKp95+bDYbf/r8BB8cKkcmleCrUwlRvoE0dY7eYOnhIL5iIiKXOQ3tPXx+tIqnvjw56t1ZIuMDs9VGU6dJmFl2IUgl4KKS4yYIqIFiSo6rSoG7RoHRU0OIXkuwXouHVnHJBJbVamPHqTre2FssjAMB+2y0/ijNuoNlvLijULgvNVzP7SkhdPSYeWNvscOYmRAvLSUNnU6bGf5xaywN7b28vrdYuF8pl3LVRF+Ucik78uqEQn8fnYp7ZoZxR2owEmDdgTJe2V0kWAB4aBXcNyecu9JCx2WDw6Xm+a35vLrHfmH3w7kRvLCjwOl2Rg/NWC5rEOIrJyIyjrHZbHT0Wiiu76Cgrp382nZO1bSzOaf6Ui9NZJjIpBLUcilqhQy1QoZKIUUll6FWSFHKpFhtNkwWG23dJurbe0e0204ulaBRyFApZKjkUjp7zbR1mzFbbVht0NZtHrJGxBk6tZwQLy0heheC9Nq+n7UEe2kJcNeMihVEa7eJDzLKeWtficPQ4XkTfbgh1kB5Uxcv7iwQPI2Ucik3xhq4bqo/GcVN/N/HxwRRqVZIMbhrKKzvGBQVVcqlvHBnAjvz6vndR8eECw+9i5I5Ud50mSxsy62lp68RIszbhfvmhLM83khrl4n/bi/g7X0lwt+zX0TdmRo8LtznxyNvpRfz96/zAPj9kskcLG7EbLUR6etK/hn1YkbPSyuWxJqlEUCsWRK5EKxWGyer29iTX8/u/Hr25I+u87PI+EetkOLtqkIplyKTSOgxW+kyWejutdBlslzU+0MiAb1WiberCp1aLog3tUJ6+rvcfptUAu09Fpo7eylr6qS0sdNhvIszFDIJgZ72CFSIl/27/WcXgvXa867POVXTxhvpxWzKrBDa+3UqObckBZEcpmfbyVo+OlwhiBcfnYrVqSFM9NfxSXYlm49VC2k4o4cGm80meBkNJCnEkwfmRrDhUBlfHXc0q0wJ11Pd0sPWkzVC2i420J0H5kZwzRR/ihs6eHlnIZsyK4TOu3AfF+6fE86yeON3yifpfPn4cAUPrz+MzQY/XRDFvIk+rPjPXsBeZN9vw9DP3l9fhWEUoktXrM/S2rVreeaZZ6iuriY2NpbnnnuO5OTkIbffsGEDv/vd7yguLiYqKoqnnnqKxYsXA2AymXjsscf44osvKCwsxN3dnYULF/LXv/4Vg8Ew7DWJYklkIDabPUVS09pNTWs3ta09HKloZk9+g8OVsYjIeEUhk+DjqsJHd/rLVSWn22Sls9dCt8lCZ6+Zzl4LdW09lDV1Oi2MHoiPTiVEoUL0LgR7aQjWuxDipcXLRYlEIsFitfHtiRreSC9mT/7prrYoX1dWp4XgrlGw/mCZMHAW7EXyd6YGY7PBO/tLOVpxug4sPtiDUzXtQhH3QFanhhAX5MEb6cUOtWOzo7yZHOBGTmUru/NPF3PPneDD/XPDSQv3IqusmRd3FDiIq4RgDx6YG8HCSX5Ix5HZ6nhk68ka7nvzEGarjbvSQnj8hinc+mK6wxDjM/nggTSSQkUH72Gxfv161qxZwwsvvEBKSgrPPvssGzZsIDc3F19f30Hb7927lzlz5vDkk0+yZMkS3n33XZ566ikyMzOJiYmhpaWFm2++mXvvvZfY2Fiampp46KGHsFgsZGRkOFmBc0Sx9N2i22ThaEULJQ2dfWKom5rWHmrauskua0YMDolcbkgk9qt5mUQiFEwPF1eVHL2LEovVRlefiOo2jYxnV7S/jp8uiKK6pZs30k93vEklcF1MAEumBXCiuo139582nlTKpcyK9GbryVqn+/zdksn0mC28ubdEqCvqT90ZPDRsPVkrCC5Z31Dd++dEEO2vY1tuLS/uKHTw5lo4yZf750YwfRRO5FciB4oaWf3KfnrMVpbFGfjHrXF8e7KWe988+zn34x/NJDbIY8TXc0WKpZSUFKZPn87zzz8PgNVqJSgoiJ/85Cf8+te/HrT9ypUr6ejo4LPPPhNuS01NJS4ujhdeeMHpMQ4ePEhycjIlJSUEBwcPa12iWLqyqW/vIaO4iUMljWSUNHG0vEVMl32H0Sr70ld9dUjK/u8yKT0WKz0me8qsqy911mOynnXm1XDR9KXK+uud1H21SDIJNHeaKG/uGtH5dOHeLnhoFagVsr5jyzBZrNS391DX3kNta4+QArsQFDLJOaNRzpBIYOk0AyerWx3MIv3d1MQFeQxZz/fsyjgOlTTxwaFyIcXj7api5fRA1HIZGzPLhfZ+tULKyqQgfjA7HD83NZ9kV/LSzgLheAqZhGVxRu6bE06Un+68n8N3lWMVLax6aR9tPWYWRPvywupEmjtN3PLCXuFvPxR/uHEKa9JCR3xNV5x1QG9vL4cOHeLRRx8VbpNKpSxcuJD09HSnj0lPT+eRRx5xuG3RokV89NFHQx6npaUFiUSCh4fHkNv09PTQ03M6f9/aOrTJncjlhdVqo6CunfTCBl7fWzyk7f54JzlUT4CHGneNQvhy0yhwU5/+XaeWY7OBqc/U0WSxYuozhjSZrZj6jCLtt9s9k0x9253evm8ba//tZ2xjPWNbq9Xxcf3bWm1Ut3Q7TZeMNzp7LUINzVjS1SfCYHABuKtKTqCHBm+dCl+dShj0qpJLUSlkSCUSunrNlDR2sie/YViO5GczLZ0e6snVk/zx1CrQKE8XkHf0mKlr67F/tfcIP9e39wyKuF6IUAK75cIn2ZWDbq9u7R4klMK9XXhoYRSfZlfys/cPCymzaH8dtyYF0dJl4p39pcLfw0OrYE1aKHelhaCUSwd1trmq5NyREszdM8PGrTv9eKWwrp27Xj1AW4+Z5DA9a+9IoKq5m9Wv7h80ZshZh+KHWRWjIpaGy2Ujlurr67FYLPj5+Tnc7ufnx8mTJ50+prq62un21dXOrzy6u7v5f//v/7Fq1aqzKswnn3ySJ5544jyfgch4wWyxklHSRHpBA/uLGthX2HjuB41zfrloIjcnBuLndnl9gHebLHx7opZNmeUO9VwKmYSron25KSGQcB8XNmZWsO5A6UW1yl/JtPeYae8xn9OVvb8WKTbIA28XJTbscwG7TFY6eswU13cMK2p6sLhpyPoSfzc1SaGeTDG4EdRX8O3rpqa8qZM/fnacgvO8ANGp5efVsTeQwvoOHlp3WPhdrZDy2PWTKW3s5B9f5wni3OCu5gezw1k5PYiOXjP/213k0Nnmq1Nxz6wwbk8Jxk3sbDtvKpu7WP3KARo6eplicON/dyVRVN/BmlcPOIw30Shk+LurnYol0whEZy+Gy0YsjTYmk4lbb70Vm83Gf//737Nu++ijjzpErFpbWwkKChrtJYpcAE0dvewpqOe9A6UOBaNXAg/MjWBFgpEJl1kawGazkVnaxMbMCj7LrqR1wIkwLsiDmxKMXD3Zn/1FDby2p9hhfMVoIZNKWDjJlztSQpgR4UVLl8khMuIsWlLX3iM4Qw8XhUyCWu5oH+DQldbXjabsi9JUtnRR0tB53mKhvwapP13YZbLQ1Gl3p65s6XbaFXYmUgkXVH9X3drNZ0eqhrX/mxIC+SS78qzpvAsVSs7oNll57KNjDrf9v2uj+cHsMEobO/nT58fZeEjsbBtJGjt6Wf3Kfiqauwj3duGNe5LJrW7jntcPDnptH10cze8/znG6n+tiAsZiuUNy2Yglb29vZDIZNTWOIxtqamrw9/d3+hh/f/9hbd8vlEpKSti6des5645UKhUqleoCnoXIaNNjtrC/sJE/f36C3Jq2cz/gAojydWVSgBvRATomBbgR5uWC2Wols6SZnafq2JlX5yAARpJVyUEsizMyPVR/2XXclDV28mFWBZsG1IaA/ap+eYKR5fGBmK1W1h0o42/P7hxRv6GhMLirWZUczK3Tgxyicl6uKrxcVUQ7/2gR6DFbaGjvdS6mBvxe29ZNt6k/7WhmOLNC9S5KexQo0AOlXEr3gFqo/p+7TVbae8xCi3w/NptjutBDqyDaX4dGKesTZKdFmlwqoamzl9o2ex1SfXuP4MM0XCQSznucjdUGG0ZxBp9OJefaGH8sNhubMiuG3O6pzSd5arNjdiIuyIMH54mdbRdLW7eJ7712gIK6DgLc1bz1gxQOlzbzo3cz6TFbifJ1paov/X79tIAhhRLAjXHD71AfDS4bsaRUKklMTOTbb79l2bJlgL3A+9tvv+XHP/6x08ekpaXx7bff8vDDDwu3ff3116SlpQm/9wulU6dOsW3bNry8vEbzaYiMAP2t+SUNHewtaOClnYUjcmL1clGyNNZAXJAHBg8NBg81fm5qFE4mwFutNo5WtLAtt5Znv87jSEXLqM0+u3aKP8vijcyP9rnsrm7buk18ebSajZnl7C86ne7UKmVcFxPATQlGYgLd+fxIFT/fkE12WfOor8k+rsKX21OCmTvB96KMFFVyWd975ez+L/3moo6Rqu4z6np6hfoes9VGY0cvjR295xT9w1l+c6dpyCiYTCohwF1NsF7L5IluBHpq0KkVqORSNEoZJouN2rZu6tp6qGntpqDWbpA6MF03HtuE2nrMg8RYtL+OH82PxGqz8bevcilrHJzuASiobeetfSWcrG4jKcSTuGAPcUTJedLSaeK+tzI4Ut6C3kXJW99PIb2ggf+38QgWq40F0b6YrDZO1bYT4qXl6xzHwIZcKhHeY9NDPQn01F6KpyFwWXXDrV+/nrvuuosXX3yR5ORknn32Wd5//31OnjyJn58fa9aswWg08uSTTwJ264C5c+fy17/+leuvv55169bxl7/8RbAOMJlM3HzzzWRmZvLZZ5851Dfp9XqUSuWw1iV2w40uJQ0dvLyrkLf3lY7I/m6bHsT8aF9Sw71w1wy//qCly8SuU3VsO1nHjrxaoVV5NEgO07M83sjimMtvGr3FamN3fj2bMsvZklMttJFLJDAzwpsVCUYWTfHnZHUb6w+W8tmRqjEpmPZzU7FyejC3TQ8aFXO7kcJqtdHcZRoQneoeMhU4FjVcrio5QXotQZ4au9GklxZ/NzVmq432vjqndwcMqz0fhirmvVBclLILGvmjVkhZMMmPlk4TWaVNg/Yhk0qYHOBGYognSaGeJIXoxQLvs7CvsIGfrT9MVUs3rio5792byr7CBv78xQkAViQYmWJw54+fHUcpk2K2WgdFMn8wK0yYb/nHZTGsTg0ZlbVekdYBAM8//7xgShkXF8e///1vUlJSAJg3bx6hoaG8/vrrwvYbNmzgscceE0wpn376acGUsri4mLCwMKfH2bZtG/PmzRvWmkSxNLJ09Jj521e5vLan+KL2c2OcgTVpIUwKcLugq0KbzUZuTRvbTtaxLbeWQyVNg9IdI0mkryvL443cGGe45FdRF0JudRubMsv5MKuC2gF5pggfF25KDGRZnBG1QsaHWRWsP1jq0PY9WkgkMCfKhztSgrkq2he5kyjh5Uyv2UpDx7lrq2pbewY5Ig+FUi5F05eeczZcdrj7kEkkwz5mP55axYgKwCkGN66K9uVkdRtfH68567Y+OhXR/joifV0BaO8209Jl4lhFi9Mar0BPDUkhniSG6kkK8WSCn25Uxr1cTpgsVv797Sme35aPzQahXlqeW5XA50erhJlv984O48Y4Iyv+s3dIS40l0wLYnlsnFOBn/u5q9C7DC16cL1esWBqPiGLp4mnq6OWh9YeFCd7nS3KYnl9fF018kMdFD/psaO/h7X2lvJ9RNqJXvc7w0am4MdbAsngjUwxul90U+Pr2Hj45XMmmrHKOVZy20PDUKrgh1sCKhECmGt3ZW9DAuoOlfJVTMyKeQ+ei3z/ntunBBOkvP+E5GtS395BX00ZedRt5te2cqmkjr6Z9yBS2XCrB4KE57SulsIuoqpZuh4G0o01quJ6G9l5O1Y6cuI4xupEY7ElFcze5Na1DpuOkEgj1dsHooUGnlqOSy8itbuNkdeugSIhOJSc+xJOkvuhTXNB3K3VX2tDJQ+uzyCptBuCWxEAeWzKZv3x+gvUZZYC9mH5NWghLn9s9ZOemWiFlQbQfnx+1NwlE++vY/PCcUVu3KJbGEFEsDR+zxUpRfQcnq9v4+HAF35xw7rJ7Lv51WxzzJvqeVxrtXOTXtvHK7mI2ZZYL3TkquRR3jYKOHvMFhfedoVXKuDbGn+XxRmZEeF92V6NWq43tebW8u7+U7bl1Ql1Bf7v/ioRA5k/0pbGjlw0ZZazPKKO8aXRFZz+zIr25PSWYqyf7Oa01E3HEZrNR29Ynomr6BZT95+F6XkklMCvK54IvdC4FQXoNCyf5ER/sSXyQB54uSvJq2sitbhPEUG5126Aol0wqITHYk4QQT9w1Crp6zRwqbSKrtHlQKlkmlTDF0Je6C9GTFOp52Vl7DJePD1fw2w+P0d5jRqeW85flU7l6sh8/fS+Lr47XIJXAkyumcs1kf370bqbDuJp+PLQKmjtNTApw40TV6Quvf6+K54bY0SvuFsXSGCKKpaEpaehgS041ewsa2J57YR+mBnc1T908jdRwrxE/AdpsNtILGnh5VyHbBqxPrZDi76amx2ylahht1udCJpUwJ8qbZfFGrp7sd1lecbZ1m/jgUDlv7C126GaL7Wv3XzLNgE4tZ9vJWtYfLGNbbu2YjH7Ruyi5JTGQVcnBhHq7jP4BvwPYbDaqWuzje57afPKc7spn4uemYnqoni8HDLMdTXx0KmZEeNHVa+Grc6TbhuKqaF8SQzyJD/ZgWqAHLkoZdW095FS2sutUPdvzageZ1Hq7KpkT5cPMSG98dCoK69rJKGniUEmT08+NIL2GpBC9UPs0wVd3WXfbtXWb+L+Pc9iUZe82TArx5J8r4/DQKrj3zQz2FTailEv5923xhHpruffNDKdRvIH1SQOd3bVKGYceu/q8hzCfD6JYGkNEseRIXk0bD76TSf4Fhs0D3NX8985EYgPdRy0t1Wu28ml2Jf/bXeRwFTPSxAZ5sDzOwJJYA96ul6fdRHF9B2+kF7Mho1yINrip5aycHsTK6UFE+uooru9gfUYZHxwqdzCZG01Sw/XcnhLCoil+l12X4HinpKGDN9NLeD+jTPDC0ShkLE8wkhjsybqDpWcdejpWKOXSc454WZUcLLiLt/eY2ZZbO6zZdUYPDXMmeBMfZBdQET6uVDR3sSOvjh15dezNr3eINkskMC3Qg7kTfJg7wQdfnYrMUrtwOljcRK6z1J1aTkKwZ1/tkycJwZ6oFZfHe/lwWTM/fS+L0sZOpBL46YIofjw/kqZOu11ATmUrrio5L69Jormzl59vyHbayPHxj2Zy+8v7nEbul8cb+efKuFF9HqJYGgPWrl3L2rVrsVgs5OXlfSfFUrfJwomqVo6Ut/BJdiWHSs7/A9RHp+L1u6czxeA+Cit0pLmzl3f2l/LG3mKHIuSRJFivZVm8kWVxBsJ9XEflGKONzWZjT34Dr+0pYmturdAaHuHjwvdmhnFTghGpRMKWnGrWHSgbE+NIAHeNgpv7okj9hbgiI4PVamPnqTreTC9h24DXPMRLy+rUECYHuLEpq4JPsisFgeKhVXDb9GBmRnrx2p7iIYfXjjRp4V7EGN0obug8Z+H2mfi5qQjy1KJRynBRyqlr7xn259asSG/igz2ID/ZgisGdwroOQTydedHlrlEwK8pbEE9apYys0ua+yFOj09Sdq0rOdTH+rEgIJCVsfHqpWaw2XthRwD+/zsNstWH00PDsbXFMD9VT1tjJ6lf2U9zQiZeLktfuns5XOTU8vy0fsEfiBnYRf/2zOfxnewEfZp32wdKp5MIw59fvns68ib6j+nxEsTSGfFciS2aLlfy6do6UtZBd3kx2eTO51W0XNONp4w/TSAwZuyndRfUdvLaniA0Z5efdoTMcPLUKlkyzF2onBF98kfmloqvXwodZFby+t8ihW23+RB/unhnGrEhvcmvaWH+wjA+zKsbEOBLs4f3bU4JZPDXgsrnyvlzoT6++lV7iUHQ7d4IPt6cE09lr5q30EjL7CnfBXiC9Ji0UvVbJewdKHQR1uI8LUwzufOpkftvFEKzXUt/ec1abie/PCmPRFH8m+uuoaukSapDsdUhtThs2/NxUzIjwxtdNhUYho7i+gy+PVQ9rSHCAu5rUcC/Bm62urYc9BfXscmJMOynATRBOiSGeSCVwoqqNjL4B3RnFjdS0nr6AM3poWBZvYHl84Li5MKhq6eKR9dnCxdH10wL4y/KpuGsUnKxuZc0rB6ht6yHQU8N/70jk2W/y+LZPQC+e6s8XR0+PGnv//jQ2HioXir/7WZMWwpvpJXi7Ktn36IJR72AVxdIYciWLpaaOXl7eVcjB4kaOVbResNCYM8GHv90yDV/d2BU42mw2DhY38fKuwvO++hwOMqnEXqgdZ2TOBB+U8su3oLiiuYs304tZd6BMEEAuShm3JAWxJi0EXzc1n2ZXsu5g2ZgYR4I9RXFTgj2KNNH/8hrpcjmQX9vOm+nFbDxULqRAXFVybk4MZNEUf9IL6nn3QJkwZFYhk7B4agC3JAZR3NDB63uLHVLtsyK9MVutTmct6tRyXr97OscqWnltT9F510CdLzKphGh/HXFBHsQF2SNB4d6udPSayatpJ7OkiV359ewvbBgkiqYY3Jgd5UO0vw6JBI5VtHCgqJHs8pZhHTspxJOpge7IJHZTxayyZo6UNzsYd7ooZcyIPB11CtJrsdlsZJQ0sSmznM+OVDmMAokN8mBFvJGlsYZRa6E/F1tyqvl/G4/Q3GlCq5Tx+A1TuCUxEIlEwsHiRr7/+kFau81M9NPx+A1T+O1HRyms60Apl/Lra6P5w2fHhX2tvT2Bjw5XDPpcfmBuBFUtXXx8uJLvzQjl8RumjPrzEsXSGHIliiVb34iAP39xgsYL9Fq5KSGQNWkhTBvF2iNnmCxWvjhadVaH3oshLdyL5QlGro3xv6yHavaLydf2FLElp1qopwjWa7lrRii3JAVyqqZ9TI0jwT5q4vaUYJZOM4xqYed3EYvVxraTtbyRXsyuU/XC7RE+Ltw1I5QgTy0fHCpnc87pwmw/NxV3pISQEmYv2N54qFxIk7goZcyL9uVQcRPVrYMLmpfGGrh3dhgfZlXwQcbpx7mp5dyUGIheq+TLY9UcH5DC8tWpmBXlTYC7mlM17Wct2JZK7EJCp1agVcgwW60cKW9xmmLXqeXEBnoIAiou2ANXlZyM4iZ2napj56n6Qak0jUJGSrie2VE+pITp6TZZhDqkbSfrhmWDMWeCD3OivFErZGSWNLHzVN0gQ9sIHxfmTvBl7kT7cQBhwPT2vDrhtZBLJcyP9mVFvJGrJvmOSa1eV6+FP35+nHf3202Bpxrd+ddtcUKJwTfHa4TxJYkhnqxODeF3Hx2jrcdMgLuaf90Wz60vpgv7++3iSXx1vHpQzdv0UE/+c0cic57eRpfJwqYHZ5AQ7Dnqz08US2PIlSSWuk0W9uTX8/03Mi5qP25qOb5uatzUctw0CtzUCtw08r7vzn4/vd2FRmhau028tKNQyI+PJDq1nB/Pj+SGOAMB7uPX/Xk49JgtfJpdxWt7isipPH1ymBnpxfdmhBEf7MFHWRWsP1g2ot42Z8NVJefGOAO3pwSPSe3ad42mjl7ezyjj7f0lwgWERAILov24NSmQ+vZe3kwvdvBPSg7Tc2dqCAqphHcPlDqIq1AvLdH+bmzOqR50LIC/LJ+Kr07FW/tK2DHAUiDUS8vSWAPdJnu6t180qBVSViQEcveMUKL8dMIFz2t7ijl8RiQz0teVIE8NRytaBokOnVpOSpgX4T4uqBUyOnvMZJc3c7SixWlRd5BeQ1yQpyCg/NxUHCxuZFdePbvy6wc1K/i7qZkd5c3sCT7MjPCio8fCodJGDpU0kVHcdE7/qeRQPatSgghw13CopIkduXUcKnU0u1XJpaSGe9mjThN9cNco+DS7kk2ZFRytOB3dctcoWDItgBUJgaOW+j9e2cpP12UJEcT754Tz82smopRLae028eQXJ3nvgF1EzZvow1Sju2BImRTiydo7Ekj5y7fC/u5ICSajuIncmjZ0ajn+bmpO1bajd1Gy4YE0fv5+NofLmon0deXrn80Zk4tsUSyNIeNJLHX0mDla0YLFaqO7L2UmkYDVChabjbZuM0X17Xx7onZMjeXOF63SPnNrOGKrpcvET97LGpV13JkazJ2pIUT7X94iGKC2tZu395Xw7oFS4SSjkktZkWBkTVooDe29Y2ocCfbalztSQrgh1oCL6vKzUxjvHC1v4Y30Yj7NrhTSTe4aBSunBzEnyoftubW8n1Em1NeoFVKWxweydFoAh8ubeWdfqVDnI5HA7Cgfes2WIVNtL69J4lhFC2+ml1Da2Ck8bv5Ee1t+QW07nx2pEt5fAe5q1qSFsio5CA+tkob2Ht47UMpb+0qE+h2lTMrSWAN3zwwlxnhaSNts9rlie/Pr2VPQwL7ChkFT7L1dlaSGe5ESpsfLVUVjRy+Hy5o5XNbstFtXIZMwKcCNuCAPYgM90CpllDV1sutUPQeKGgel7GKM9pTd7ChvEkM8MVlsZJc1c6jPPmDHWbyn5kzw4ZbEQJLD9GSV2rfdnls3yHIgSK/pS9f54qNTsSWnmg8zKxwieaFeWpbHB7I83kiw18WbsNpsNl7bU8xfvzxJr8WKj07FP2+NY1aUNwDbTtbymw+PCmu9OTGQtm4TW/rmu92eEszjS6cw4bEvhX2mhOkpb+qiorkLX52KmxMD+c/2AiQSeHl1khDt9NAq2HB/GlF+Y5N6F8XSGDLWYqnHbOG+Nw9R3NCBq0qOq0qOTi3ncFmLUF8gcuG4axSsvT2BGRFe47Ib5XzJLmvmtT1FfH60SijG7z9JzZvowzfHa8bUOFKjkAlRpGmBHmNyzO8SPWYLXxyt4o29JQ5RmckBbqxOC8FDo+D9jDK259UJdTTBei1r0kKI8tPxcVaFg6Dx0CpYEO3H/qIGp++RpbH2sUKbMiv4KKtCqGvsT7X5u6n59mQtBwYMUk4I9uCevmJshUzKiSp7LdNHh0932vnoVNyZEsLtKcH46M5tu2Gx2sipbGFPfgN7C+o5WNw4KJpk9NAwI8KLGZFexBjcqW7t5nBpsyCgnI138dAqiA30YFKAGyaLlc5eM1mlzYMuNjUKGal9Kbs5E7yJ8HHFZoNTte18c6KGv32VO+TA4Wsm+9mHZU/0paypkx259g67A0WNDhcuCpmEpBA9s6K8UcmlHK9sZXNOtUOKfHqoJysSAlk8NeCCTHvr23v4xYZswRdvQbQvT988DS9XFc2dvfzh0+OCr1KIl5Yfz4/kld1FnKxuQy6V8MSNU7gh1sDUx78S9ummliOTSmjqNBHu7cLjN0zhh28foqPXwoPzIiht7OSzI1VolTLe+UEK8WOQfutHFEtjyFiKpaPlLSx9fveoHuO7jkouxU2jwFOrIFjvQqiXllBvF0K9XAjx0mLw0Ix7122TxcqXx6p5fU+RQxdTUognq9NCUMqkfHCofMyMI8E+tuCOlGBujDde1rVe45WK5i7e3V/CugNlwkm/vyh7WZyRgrp23t5X4lBcPW+iDyuTgmjrNvP2/hKODChinhbozkQ/HRsOlTs93p+WxeChVfBWegn7BwihiX46ViQY6TFbeX+ACJdL7Wu5e2Yo8cGeWKw2vjlRw2t7ihwiVdMC3bl7ZijXTzVcVNNEj9lCdlkLe/LrSS9oIKusaVDnboSPCzMivJkR4UVquBftPWayypr7BFQTxypbB/k4KWQSZkR4kxTiiUYp43hlKztP1Q+6UA1w70vZ9ZlW6l2U5Fa38Ul2BWu3FQy57uunBbB0moF5E32w2mzsK2xgR24d2/PqKDmjMD7M24WV04NwVcnZklPN7vx6QZAp5VKunuTHigR7A8pwDH135NXx8/ezqW/vQSmX8tj1k1idGoJEImHzsSoe+yiH+vYeJBL4/sww0iK8+MWGbJo6TXi7KvnvnYlIgJtfSHfYr0Yho8tkITbQnf/cmcj3Xz/Iyeo2UsL0hPu48N6BMhQyCa/cNZ05E3zOuc6RRBRLY8hoiqXK5i7eSC+msb2Xxo5eoQ1TZGRRyaXDahUGe1ogSK8hzNuFEC9HMXWphVRDew/rDpbxVnqJEKZXyqQsiQ3gqmhfcipbL8o4sv9Db7io5FKWTDNwR2rwiMztE3HEZrOxt6CBN/YW882JGkH4+rupuSMlmPhgT744VsWHmacjPjq1nFuTgpg30Yfd+fW8f7BMGOuhlElZFONPj8m5E7abWs5/7kjkcFkT7+wvFdIwMqmERVP8mBPlw4kq+3usv8POU6vg9pRgVqeG4u+uprXbxPsHy3gjvVion+rvLL1nZigJwZ6j8j7p7DVzsLiJvQV28XS0osUh0iOR2KNvMyK8mBHhzfQwPcq+qFd/5CmrtMlBbEolkBLmxbUx/oR4acmraWPXqXr2FzU6iCyJBGIM7oJ4SgjxIKeylU8OV/L63uIh17wszsCSaQZmT/BGJbfbGvT7OqUXNDhE8VYlB7Moxp8DRY1syix3sP7wclGyNNbATQmBxBgHz6DsMVt4ZnOu4KI9wc+V51YlMNFfR11bD49/kiPMaov0deWpm6ZxuKyZv3xxAovVxlSjOy+sTuRf3+TxfoajuJZL7V2Bs6O8eeHORP742XHWHSzD21XJwkl+rDtYhkQCz62KZ8m00RtrMhSiWBoDxsKU8unNJ/nP9qGvQkRGDg+tAleVHBelHK1KhkIqpcdsocdspdtkodtkpbGj96z1PAqZhCC9llAvu3gK9dYS4uVCmJcLBg/1qHmGOEtjeLuquG16EJ4uSr45XnNRxpHDcUoeSJSvK7enBLMiPhB3rRhFGmnauk1syqzgzfRiCgaM4EgL9+L2lGBswDv7Bkd87kwLwdtFyQeHyh28kYweGq6Z4sfe/AZyawbXMi6NNXBrUiAfZjqm6LxclNyWHESolwubj1U77HOCnyv3zAxjWbwRtUJGYV07r+8t5oND5ULayEOrYFVyMKtTQzB4jG3jREuniX1FDaQX2NN2A8UF2E/ysUEezIjwIi3CS3DXLqhrZ/Oxar48VuUwPFoigYRgT66L8WfeRF8qm7vYdaqOXafqB6XstEoZqeFezI7yZmakN7WtPXx8uGLIKB7Yu4uXTAtgZqQ3yj5H8o2Z5by2p5iiPn8smVTCdTH+3DMrDKVMyqbMCj7JrnAohI/ydWVFQiDL4u3NKvm17fz0vSyhI3FNWgi/WTwJlVzKx4crefzTHJo7TcikEh6YG879cyN44pPjbMy0r3VFvJGHF05gzjPbHNY70U8nvJdujDPwzM2xfJJdyS82ZPc1F/gKs0H/tCyGO1NDzuv1GylEsTSGjFZkqdtk4b63Dg1rQOU9M8NYEhvA5AC3QaZ9TR293PTC3kFzjYbDquRg5k/0obXbTHNnLzWt3ZyoauNYZQvNnWNjSDie0Cpl2GzQbbYMWX8wFHJpv5DqE1De9rReqJcLgZ6a8xZSZ0tj3NqXWnkrvZjKvqt/iQRclHJ6zdZRKeBWyqUsjvHn9pQQpoeOTnTgu86pmjbeTC9hU+bpyI2LUsaKhECum+rPoWJ7xKc/qtgf8bkxzkhZY+egNNzsKG8m+umEiMKZ/PHGKWiUct7aV+LgrxUb6M7K6cGYrVbe3lfiIDSuivblnplhzIz0AmDnqXpe21PkMBtygp8rd88MY1mccdzYQ9S2dZNe0C+eGoQC9X5UcilJoZ7MiPAmLcKLaUZ3qlq6BeE0MN0N9v/Da2P8uS4mABeljN359ew6Vc8uJ9YBBnc1s6N8SA7TY7Ha2JFXJ0RynHFrUiDXTzMwI8ILmUTC1pO1vLqnyGFAbXywB9+fFcbCSX6kFzSwMbOcr47XDHnR46lV8MzNsSyc7Ed1Sze//fCokMmYFODGMzdPw8tVyQNvHSK7vAWpBH6zeBIeWiW/2JDtsK8b4wx8fNhuSvr9WWH8ZvEk/rMtn398k4fNZq916k8p/uKaCfz4qqizvDKjiyiWxpDREksv7SzgL1+cPOs2T9wwhTVpIUOemLpNFla/sv+85ji5KGX8cF4E358Vfl4fZCaLlaL6DvvQydxah1ZjkbMjl0oI9NQ4iqi+1F6gp8ah3qCl63Qao78epD+NcWOsgaN93Uj95pJapQwXlZwek2WQq/BIEO7twu0pwdyUEIjnJTLMu5IxW6x8fbyGN9NLHKKDET4urEkLJdzHhU2ZFXw+IOLj7apkVXIwCcGefHW8mo+yKk+n4VRybogz0G2yCtGBgejUcv51WxyZJc28d6BUqH9SyqQsmRbANVP8OVrRzLv7S4X0nVYp45bEQO6aEUq4jyudvWY2Zlbw+p4iIfLVH024e2YYMyK8xr2YLmvsFKJOewoaBqWuXVVyUsL0pEV4MTPSG3eNgq9yqvnyWDUHixsdagGj/XWCcIrydeVkdZsQdTpQPDhlN9VoT9l5apXsOlV/1q66VclBXD/VQGq4nryadl7dU8QnhyuF94LRQ8NdM0JYOT0YgC+OVvHopqOD9jMjwouHFkRRVN/Bnz8/QVuPGYVMwk+viuKBeRFklzXzwNuZ1Lf34KFV8I9bY/nLFycdugpvSQzEbLUJ40t+fV00d6QE8/P3s4W0rtFDQ2VLFzYb3D0zlN8vmXxJ3wuiWBpDRkssrXwx3SGMPpAQLy0vr0liwlnaK61WG3e9dmDYokUqsUeSHl44YVjdJ8PFZLFSXN9BXk07udWt7Cts5ECx8+d1uSKRgFp+fvU8w0XWJ6TMFtugcQ2uKjlr0kKYN9GXT7MreT+jzKH2SimXgo0RjyQpZBIWTfHn9pRg0sLH/4nvcqSurYd1B0odIkVSCVw92Y+V04NoaO/lrX2ORdlxQR7cnhyMVCph/RnDbif66bhuqj9bT9Y6PKafpbEGbog18GFWOVtyagTvH383NXemBjMpwI2PD1fyxdEqzH33GT003D0zlFuSgnDXKChv6uTN9BLWHSgVhLmrSs4tSYHclRZKqLfLqP29RhObzUZBXTt7CxrYk1/PvsLGQaN+9C5K0sLtKbtofx15Ne18eayK9IIG4e8F9ouLfuEUY3Sj22TlQHEju52k7BQyCdfFBHD9tADq2uypuqEufFVyKTcnBrJkmoFwHxfe3V/K2/tKBLGrVcqI8tNR0dQ5KLLljNggD565eRoT/HS8u7+U//vkGCaLjWh/HQ8vnMADbx9y2P7de1N4eWch23LrkEklPHXTNOKDPbjvzQwK6jpQyqTcEGcQbCyWxxv5+y2xl7zjWBRLY8hoiaVjFS3c92aGkEYZyJv3JJ+1a8BmsxH26BfDPtZV0b48el30mHlbgP3K7YlPc4S89ZWAp1aBVilHpZCiUcjQKGSoFTKUcimNHb1UtXQ5zH+63AjWa1mVHMwtSYF4u46coBaxY7PZyCxt4s30Er4YYPXQXxs0b6IvW0/Wsu7A6aiOUi5l6TQDi6b4cayylfcOlApRELnULmojfFz491bnZq2/XzIZpVzK2/tKHE7UKWF6bk8Jxmyx8c5+x9lwyaF67pkVysJJfsikEg4UNfLanmK+On7aCT7Uy+4Ef3NiILorrPvRYrVxoqqVPfn17C1o4EBR46ALpQB3NWkRXkwxuNPVa+ZwWTM7T9U7RJECPTVcO8Wf66b6Ex/kiVQqoaa1m+25taw7WEbWgL95tL+OO1NDSA33YtvJWjZlVQxyHO/HXaNgWZyBhZP9qGjq4i9fnBgUVU4L9+KV7yWhksv4+fuH+eiw4yy/R66ewMrpQTyzJZcP+mqpFk+1Ty1Yd/D0PLcgvYb370/jwXcyySptRq2Q8p87ErBY4ZH1h2nrMePvpuahhVH85YsTtHWbuSralxdXJw6rQ2+0EcXSGDJaYslqtfHst6f497ennN6/LM7A/7su2sFR2maz8e6BUn774bFhHWNygBu/vX4SMyO9R2TNw+F4ZSuv7C7ik+yKCxrCezkikYDB3d5B5+WqxGSx0mu20mO20tFjpqCuY8yG0p4vMqmEqyf5cUdqMDMjvC/5leCVSFevhU+yK3gzvcTBVT0uyIM1aSF4uih5b3+pQ8ebwV3NHakhhHm78NmRSodokI9OxfJ4I82dvYO6k8DePfX0zdPIKG5yakp5zRQ/MkuaeO+M2XBLYw3cMzOMGKM73SYLn2ZX8tqeYodxJbMivbl7ZijzJ/p+Z94rvWYrR8qbBY+nrNLmQdHcGKMbi6cGoFMrSC+oZ9vJOgeB5eem4top/lwbE0BymB6ZVMKxihbe3lfCR4crBM8oV5WcFQlG7kwNQS6V8Emfu/eZNVbD4czuVje1HJVCNijlKJHAD2aF8fIux9q2p26ayqwoH9a8sp+Cug7cNQpeuSuJ3fn1PPuN/byVHKrn/103kfvfsqfwpod68uY9KeOmVk0US2PIaImlD7PK+dn67HNud3NiIPfMDONYRQu/2nhkWPv2d1Pzy0UTWR5vHJMPNKvVxo5Tdbyyq4jd+WIt00BkUglBnho0SjkFte1j5p59LjQKGSunB/H9WWEE6S/eFVhkMCUNHby9r4T3M8oFsayUS7kx1sDyBCOnatp5a1+JQ13IjAivPsdkM+/sdyyuTg7VMzPSm48OVwgdUgNZGmvg6sl+fJRVwbYBnWvBei2rU0MI9NTw8eFKvj5xWnj56lTcnhLM7SnB+OrUghP8O/tP1zP1i6y7Z4aetTTgu0JXr4VDJU3sKbBHno6WNwsiVymXsmiKP0unBWCx2tiSU823J2qFuXlgjyReM8WPa2MCmBHhRWePhY2Z5by9r4TCAa9rSpie1WkhXDPZn7yaNkE4DWVOHOXrymNLJrMlp1qY9daPt6uKLx+aTXVL97C8/A78dgHNnSbWvHKA6tZuAtzVrL0jgf9syxeyBd+bEcq9c8K57aV0yhq7iPbXsf7+tAsyyxwtRLE0hoyWWMqraeO2l/Zd8CBbZ7goZTw4P5J7ZoaNibLvNln4KKuC/+0ucjpe4GKR9RndLY7xp63bTG5NG3k1bZyqaXc62FNk+EwOcCMtwoupRnemBroT5uXynYkUjCbWvm6nN9OLHVy0Az01rE4NIS7Ig0+PVPJhZoXQ8aZVyrgpIZCZkV7sK2zkg0PltPedXDUKGTfEGtCp5UN2tf1+yWSsNhvv7C91EFFzJ/iwIsFIY0cv7+wvdfgfTQnTsyYtlGum+KGQSZ06wRvc1aweMK5ExDmNHb18fNg+b3FgqtPooeGmxEBujDNQ0tDBl0er+fpEjUOnsZtazsLJflwXE8DsKG8OlTTxZnoxXx8/HWX00alYNT2IVSnBFNV1cPv/9o/ac1kaa+Dft8WxJ7+BB985RGu3mShfV36/dDL/93EOhfUdKOVS/rJ8KldP8mPlS+mcrG4jxEvLhgfS8NWpR21tF4IolsaQ0TSlrG7p5uH1WU5nMZ0vd6SMfPH2UNS39/BWeolDgaGrSi7U7gxEIZNcUDpuaayBny2MEqZfn0lLl4n82jZyq9vtAqq2jbya9gs2ZPyu46qSM8XgxrRAd2KM7kwL9CBErxUF1DBp7uxlQ0Y5b+8vcXBinjPBh9uTgzFZ7G34A5s6InxcuD0lBHeNgg+zytmTf7obLszbheti/DlW2erUXiTUS8uvro1mb0E9mzIrBG8jnUrOzUmBpIZ7sftUvYMNgVYpY0WCkdWpoUz0tw+03XysmtecOMHfPTOMRVP8Rs077ErEZrNxrKKV9zPK+PhwhUMd0YwIL25NCmLhZD8Olzbz5bEqtuTUOESJXJQy5kf7cl1MANEBOj4+XOlQozYQV5WcH86LINLXlc3HqoUOtYF4u6rY/PBsh/Em/fSbSZ6Ju0aBXCoRPtcTQzy5NSmQP3x6nI5eCwZ3NS+sTiTKV8edr+znUEkTPjoVGx+YMSJz60YaUSyNIaM97sRitfH3r3Iv2JwyPtiDp2+aNibF26dq2nhldxGbsiqEQsb+eUxnM1w7H+ZP9OEXiyZe8HT6po5e8mrayKtt51RfJCqvpv2iIngyqQSVXNr3JUOlkNJtslw2xdzuGgU/nh9JdIAOH51KqKM6XtnKkfJmjle1Op3arlPJiemLPE012r9CvLRid9wAjlW08FZ6CR9nn6476XfRvmayH+mFDbx3oFR4r/R3vF0/zUBpQwfv7i8VmjykErgq2o8Jfq78d0eBU6+ve2eHMSnAjQ8OlTv47vQbhbqq5GzMLHe4AIvwcWF1aggrEgNxUyto6ujl3QP2bqp+l26FTMLSaQbunhnG1MAL+98TOU23ycKWnGo2ZJSzp+D0mBKdWs4NsQZuTQoixujOoZImu3A6Vu3Q7KOSS5k7wYeUcC+e/SZv0BBhD62Cn1wVxc2JgZQ2dPLTdVlOU7Nn4qlVCM0DA/nL8qn85kNHy4FZkd5E+5/26UoN17P29gTcNArufTOD7bl1uKnlrL8/jUkB43MYuSiWxoCxcPAeyIr/7BlkfDYc/NxUfH9WGKuSg0elK8Vms7Env4H/7S50uDqJDXRnaayBfYUNI9Lxlhyq55fXTmR6qP6i9+WM+vYeIYWXN0BEXWjhtbtGQbBei6avGy6nssXph9B4xFOrYKK/jmh/Nyb46Yj0dUUqgcL6Do5VtHCkvIUTVa1OR8S4qeVM7Y8+GT2YanQnSK/5TgmoXrOVL49V8WZ6CYdKTrd6R/vrWJMWisFDzYZD5Ww5Vi1cvXu7qliVHMSkADe+Pl7j4JvkqVVwQ6yB9r7aFWf867Y4Kpq7eGdfqWAx0S+8Fk8NoKi+w6koW5MWKvge5Va38dqeIj7MqhBeW29XJXekhHBHavC4S6FcKZQ1drIxs5wNGeUO9iDR/jpuSQpiWZwBvYuS7PIWvjxWxeZj1YPmxPUzI8KLI+UtQpp2IJ5aBY9eN4nC+g5e2DH44vuXiybyzJbcC3oO358VxqPXRdPeY+YXG47wzYka1Aopb38/haRR+sweCUSxNIaM1SDdt/aV8LuPhtflBvCj+RF8cKhc+HDUqeXcmRrC3TNDR+RDr8ds4dPsKv63q1DIw0sk9gnat00PJqOk8awDI53hppajlMto6uwVCkwnB7jxy2snMm+Cz5ifcG02G3VtPeQNEFDHKls4UdUmrO9CMXpoWDzVn+NVrQ7plbHCy0WJu0aBsi8ippRLaWjvpbihY8jhukYPDdH+Oib464jwcUUmhY4eCyerWzla0cqJqsGDR8EuHKeeEYEK9LzyBFRVSxfv7i916CKT9xmG3pwYSFlTF2+nlziMFEkK8eTWpCBMVivvHSh1GKERG+jOrChvvjxa7VDY28/CSb7cnhLMl0er+Tj79KgbT62CldODmRSg45sTtXw5wBvJ21XJbdPtBdsGDw0Wq42tJ2t57QwH6BijG3fPsE8GUMnHR+fSlY7VaiO9sIH3M8r48li18HoqZBIWTvLj1qQgZkd5s/NUHfe8njHo8TKphBvj7B2Lr+4pYlOmY+rNPtPSleyy5mFdBG7/xTx+9G6mQ4cmwA2xBj7JdrQa+M8dCXhqlTzy/mGqWrpRyCS8tDqJ+dG+5/tnGFNEsTSGjIVYOlLezA3P7znvx92UEIi3zj4brN9JVymTclOikXtnhw9Z73MuDhY38uN3MwUhplHIuDUpkNVpoezJr+fpzSeFOojh4OemItLXldzqduEkE+7twiPXTGBxTMC4q4vp6rVwpLyZzFL7cM3M0uYhO1AuJwzuaqL8dGgU9lSiUialpq2H3OrWIVOKcqmEcB8XJvjZBZREYo+sNHWayKls4WRVm9MOP0+toq/2qU9ABXpgcFdfdgLKZrOf4N5KL+Gr445dZHekhDA9zJMtx6rZmFnhUJS9LN7A3Am+ZJba2/ebB/gmLY7xx0OrHHLI6uNLJ6NTK3j3QKlD5CrG6MatSUFYrLZBxcSJIZ6sSQvh2hh/VHIZbd0m3s8o5429xULbuVQC18b4c/fMMJJCxJE1l5KWThOfHKlkQ0aZUxNRsBth/uzqCUz00/Gf7fmD6o76GWpQ+B+XxTA70pt5f9s+rDVJJQx5ITWQMG8Xnl0ZR2yQx7D2eykRxdIYMhZiafbTW4UJ3Rf0+ChvgvRaTlS1CkZnEglcO8Wf++dGEHceb+rNx6r46brD9Jqt+Lmp+N6MMFYlB5Fe0MBTm086zJ46F/3TsHfm1QlXzgHuah5aYM+1Xy7FozabjfKmLt7YWzxkR9LlSpBewzSjB0F6rRCBqmzuIre6jdyatkG1Ev30OwZH9Lk29/R5S1W12B/rrKhf76IUIk/9UaiAcSqg2nvMfJhZzpvpJZw6o4vs9pRgpBIJ7x0odYjW9I+G8dGp+PhwpUP7vtFDw3Ux/uT2Ta4/kyC9hj8tm0pmSRPvDijqVcjsHaFzonw4VtnCB4fKhddErZByY6yR1WkhxBjtdUZF9R28sbeYDRllwgWNu0bBbclBrEkLxTjGA21Fzs2e/HrucNLhFu2v4/uzwlg8NYDOXgv3vZXhYGQJ9ppVN7XirCNTzsWCaF/+e2ciT28+6fD5ZvTQ8NvrJ/HgO5kO29+ZGsyvr5uEq0p+wcccK0SxNIaMhVha9M+d5Na08ezKOP717alhFeo5I8zbhckGNxraexwKPFPD9dw/N+Kcqa630ov5/Sc52GywcJIfz62K51hlC3/54sSgf9KzIZHY25k/OFQuhHj1LkoenBfBnakhg4YBj2fMFiubc6p5fU8xGQOu8icHuJEU6omfm5p9hQ1X1Ky8MG8XQdT46FTIZRLKm/oEVHUb+Wfxi/JyUTIpwA1Xld3pXAJCmtNZ942360ABZa+B8nNTXTIBlV/bzlvpxQ6RIq1SxvJ4I4unBghipmpAUfaCSX7cGGegsrmLd/aXOtSbzI6yF8m+srvI6VX7vbPDmBHpzabMCod0mq9OxW3Jwfi7qfnyWJXD+yvEy+6bdEtiEO5aBTabjd359by2p9hBoEX5uvK9maEsjzeiVY7/E9t3jW6Thdf3FrN2a76DD1O4jwvF9UOny/UuStRy6aDpDwHuat67N5XjVa2DBA7YHbq/OFp9znVF+bpS09p91lmTfm4qfrN4EjfEGsblxU4/olgaQ8ZCLP3oncyzTqE+X1xVcuKCPOgxW8gqbRY+gKP9dTwwN4LrpwU4WNHbbDb+9lWuUIO0KjmYu2eG8rctucKAxOHy9E3T+OBQuTAfzlUl597Z4dwzK/SyGovQ1NHLewdLeSvdsWNoyTQD35sRSmyQBw3tPbyxt5g395U4eKeMNhIJTjulVHIpET6u1Lf3UDuCFgoSCUT4uDKtLyI0OcANrVJOaWMnudWt5NbYRVRJY+egdcmlEqYY3ZlqdMNVZa+hqm7p4mhFK3k1zmvDfHSq0wKqL5Xn6zZ6xcdmi5VvTtTy1r5ih/qycG8X7uxz0f4wq4IvjzmOKFk5PYi4IA++PVE7qBtuybQAunotg8ZM9PPCnQm0dJkGuXonhXiyNNZAS5eJ9QfLhIJgiQSumujL6rQQ5kT5IJVK6Oq1sCmrnNf3FDtEv66K9uXumaHMivQe1yey7yo2m40vjlbz180nhIzCVKM7j10/iZRwL8AeIbzhud0OIqqf26YHcbis2SENe74EemqEQd1n8uGDM/jz5yccLg7Twr34311J7C9q4IlPjwsXBClhev5wYwwT/cenWakolsaQsRBLd/xv36gUAUskMMnfDavNRmljp+DFYvTQ8IPZYaycHoRCJuXRTUeF+UBr0kKwWG2sO1h2XkXO108LoLPHzLa+vLpSLuWutBB+OC8S/WU0rb6+vYfnvj3FuoNlDh1Dt6eEcGdKML5uasoaO3l5VyHvZ5Q5bbkfSyQSUMjsERxndQseWgWxgR64axSUNHRQWNfh9AP4fJFKYIKfThAzUwM9CPXSUlTfQWZpM4dKGskobnIq2oL0GpJC9EwxuOGiktNtspBT2cqxihbyatqcXlH76lR99U8eTA10Y6rR46I9xerbe1h/sIx39pU4tO8vmOTHzYmB1Lf38Pa+UocZXfHBHqyaHgwSWH+wbFA33Owob749Ueu0YHv+RB9+ND+Sr0/UsP7g6TomlVzKsjgj04LcOVTcxGcDOuU8tApWJgVxZ2qI4LRe2tDJO/tLWHewTCjkdVHKuCUpiLtmhBJ2mQ60/S6QXdbMnz4/LgzM9XNT8ctF0azom7bQa7ay/mAp/96a7+Cv5K5ROC3ajvbX8debpvHQuiynHXSvfi+J33+cM0gYuWsUTArQndPjT6uUCeeNMG8XnlsVT6SvKy/vLGTt9ny6TVZkUgm/XTyJe2aFnfffY7QRxdIYMtpiqbPXzOTfbznrNjfGGfgqp+aipt776lQoZFKaO3uFWgalXOrQ3WRwV9PSZTpr8XZskAfZZc0OtyWH6TnQZ7Ynk0q4NSmIny6IdJhrN97p6rXwyu5CXthRKKRfzuwYyqls4cUdhXx+tOqiu+WGy72zw4jwcaW9x8zxqlaOV7aSX9s+KKWlkElwUytQyOx1R3KpPXXmLF0WpNcQG+jBpAA3Kpq7yCptHnJopzOGimzJpRIm+utOixqjOy4qGUfKW8joE0+5NW2DHqtTyYkP8SQx2JMpBjdUCikFte0crWjlaEUz+bXtTgWUv5v6dAde3/dzDQC22WwcLmvmzfSSQe37tyUHMyPCi60nax1qg1RyKTfGGbh6sj9HypsHdcNdM8UPd42S9w6UOj3mEzdMweChYf3BUraerBWeS6CnhlsSg3BRyfgku9Kh0HdaoDurU0NYGmtArZBhsdrYnlvLW/tK2DHAGTxYbx9oe0uS3UNJZHxS1dLFM5tz2dRnHqlWSLl/TgT3zw1Hq5Rjsdr4+HAF//wmT4g2Bek1/GzhBG6MM7L1ZC2/+iD7gu1JvF1V/OHGKQS4q3l4/WEHYeXtqiQ13IvPjgzObvxgVhjTw/Q8/kkOVS3dKGVSHl0czfdmhFLR3MWfPjvB5hx7au9ft8VxY5zxgtY3WohiaQwZbbG0M6+ONa8eGPL+X107kQfnRVLZbJ8u7ewNfT6o5FIUMqlTn46zcd+ccF7aWTjo9oEnzqWxBh65esJldWVrsdrYmFnOP77KE0aoTAt059fXRpMWYQ+Jpxc08MLOQqdOyhfDmWL1bHi5KIkP9iA+2JMYoztquZQTVa0cLG7iQHGj0+GYYd4u6Pqc1e3pr26ha3IgMqmECX464oLsYiOnspWtJ4fvneWjU2Gx2pwafyplUiYF6JgaaPdlCvV2oaPHTFaZPfqUVdosXLkOXM+kAB2JwZ4khuqZHOBGc2cvRytaOFrewpGKFgrq2p0KNoP7QAFlF2x6F6UwGPbN9BKOVpwWJbGB7tyRGoJGIeP9jLJBtUF3poRg8NDwSXYF35yodeiGWzTFn8L6dqdRYaOHhqdvnsaxihbe2V/qMAh1VqQ3V0X7UtncxQeZ5Q6dckumBbAmLVRoymho7+H9jHLe2V/iEB2YO8GH1akhzI/2RTbOuklFTtPZa+aFHYW8tLNAiEKvSDDyy0UTCXDXYLPZ+Op4DX//KleYA+ijU/HTqyJZOT2Y6pZunvg0h2/7/h8N7mp+v3QyBg/NkB3UN8YZ+PiM9O8EP1d+e/1kalq6+fMXJ87bX+57M0LJq2kTGhoWTvLlmZtj8XRR8odPj/PqniIUMglv3JPMjIixG9x+LkSxNIaMtlia98y2ITvM4oI8+OCBNIeusb0F9TzxyXEHL5fR5KcLotibX++Qvz6Tq6J9+fk1Ey7YdftSsSOvjie/OCHk/gM9Nfxy0USWTjNgA7bkVPPijgKyh2jtvVC8XVWYrVbaus3CyTfcx4X7ZoezLN4+yyuztIms0mYyS5vIqWgdFCGSSSVM9NOREOJBQrAnXq4qalu7yShu4mBxo9M0kNFDw6QAHSq53UizvcdMdlmz01SZRiFjqtGdKD9Xypu6SC9sGLawC/d2wc9NzfGqVqcfymqFlMkBbkwL9GBygBtKuZSmzl6ySps5VNLkYNzXT4C7msQQT5JCPEkM0RPspSW3uq1PQDVztKKFwvoOpwLKGSsSjCyZFsCJqjbe3V86qDZoWbyRmtZu3j1QSmGd43DTif463tlf6jS6eM/MMOZM8OaTw5V8drRK+Jvp1HJuSggkSK9lT379oE65O1KDWZkUhJerCpvNRmZpM2/vc4x+uWsU3JoUyB0pIYReRhck30XMFiubsir425Zc4f9reqgnv1symWmBHgDsza/n6S25HO6L1Lup5fxwXiR3zQhBKpHw4o5C/rM9nx6zFYVMwg9mh/PgvAj+9c2pYXflhnu7OI0wR/i4sCYtlP/7JMfh9keviyY5TM+TX54UsgX96FRyUsL17Myrp9dixd9Nzb9ui2N6qJ4fv5fJF0er0ankbPhhGtH+48PRWxRLY8BYOXiH/vrzIe/79udziXDilWS2WHlrXwl/25J7Xn5HI81ou26PFscrW3nyyxNCFMFNLecnV0WxZkYINhtsyqzg5V2FF9yV6AyVXIrRQ0OP2eogBpJCPLlvTjgLJ/kN6TfVY7ZwrKKVrAECqqpl8CBhvYuS+CAPEkI8CdZr6TVbyalsJaOkkZzK1kEnd0+twi489FoUcgkWi42cylaOVjh3CPZ2VRJjdKfXbGV/UeOwU5FTjXbH7+I+h3BnNVNapYwYgz2d5qtT0Wu2Ut/eQ2apfRzLmcfSKmXEBXmQFOJJQt+XVCIhp8+B/L87Cs5rxI2nVsGt04NICPZke24tH2VVCmlvF6WM66YG0GO28mm284Lt51bF09Zt5p39jgXbMUY3bog10G2ysjGzfFCn3Jq0UK7qiw519pr5+HAlb6WXcLzK0bzyzgEpOZHxS7fJwgeHynlxZ4FDOu3R6yZxXYw/EomEw2XN/G1LLrvz7Z8/GoWMe2aFct+cCNw1Crbl1vL4JznCe2VGhBd/uDGGoxXN/Gx9tsPxfHQqPv/pLNILGnho3eFB6/n+rDBOVLU6WFyAPUJV39E76AJIq5Tx/66NZnVqCFtP1vLklycGRaMfmBvBVzl2I1WpxH5Bfd+ccO569QAHi5sIcFez6cEZ46IMQxRLY8hoRpbeO1DKo5uOOr3PR6fi4G8XnvXxdW09PL355IjNZRsul9J1+2Koaunib1vy2JRVjs1mTxGtSQvhx1dFIpFIeGd/Ca/tKR7RYby+OhX+7mpau0xCBLHfCf2+OREkhnhe8HPJKm0ms6SJzNImjjmJPkklMNHfjYRgDyb665Bgf88cLG4iq6xpUHG6WiHtEyB69C5KpBLIr2snu8w+/sRZ63+olxa9i/K8RvUkh+pJjfCivdvM0YpmjlW0Oq3H06nlTDW6CxcMMqmkr4C8aZD/k0QCBneN06iUXCphssFtSPO/oZjg58rMSG925NU5RJf6mTPBh+/PCmPbyVo2HioXRKBKLmXJNAMJIR4cKWsZ1Cl3S2IQd6YGC6axBXXtvL2vZFCd1NJYA6tTQy4L87/vOu09Zt7ZV8L/dhcJnx96FyX3zwnnrhmhqBUyTtW08bevctmSY+8wVsgk3JESwoPzI/DVqalo7uIPn+YI9/u5qXjs+skE67XcuHZwyu3Lh2bjrlHwu4+OCWm6iX467kgNZuOh8kER8dlR3ni7qgYN3Y0xuvHsynh+8+FRIZqUHKrnqZunEeSp4YND5Ty1+aRDvdTDC6Moa+wSxvOkhOl54sYp/OidTArqOoj21/H+A2mXvI5OFEtjyGiJpb359ax+9cCQV+ev3JXEgkl+w9pXVmkTD6077FAXAUMX4l4sS2MN3JRgZFak92VhLNnabeKF7QW8srtI6BhbGmvgV4smopRLeXV3Ee/sLz3vOi6NQka32eL0bzw5wA13jYLSxk7hBK6US7kpIZB7Z4ddsLv6UPSYLRyvbCWzL/KUVdI0yIcF7BGU+GBPphrdhZqp41WtZBQ3DioelUklgp9UbKAHWqWMiuYussuaOVzW7DR9LJdKCNZrnaYBhyI5VM/Vk/3w0Crss+kqWjhe6Xw23UQ/HanherxdVchkEvJr2oWiWWeo5FJ6LdZBr5GvToVGKRtyBtfZeOz6SXi5Kll/sMyhmyjES8utSUG4KO0F2wMFZLS/jrtmhHJjnAGtUt5nV1DDW/tKHGqe+uukbk4MxPMy6iL9rtLY0cvre4p4fW+x4EtkcFdz75xwbpsejEYpo6yxk39+k8dHWRVYbfaLmOXxgTy8MIogvZamjl5e2V3EK7uL6DJZkEkl3DMzlFXJwVz77K5BF0Evrk7k6kl+vHOglKe+PEl7jxmFTMKP50fxw3kRZJU28fuPcwaVaqSFe+GmkQtibCBRvq78aH4kzZ29PL0ll85eCyq5lF9cM5F7ZoXRY7bw8s4i/vlNnvCYe2eHMdngxmMfHqOj14KnVsHDCyfw/DZ7J9+MCC9evzsZpfzSnSNEsTSGjJZY+u2HR3lnfynh3i5OTyx7f30VhvNw27VabazPKBsyUnWxBLirUcmlDidIH52KG2MNrEgIZLJhfOSoB2KyWHl3fyn/+vaUkJJJDtPzm8V299mXdhbwYVaFU7fpoVDIJHhqlTR29DqNtIR4afHVqSis66Ch75juGgVr0kJYkxZ60e3u50N1S3ffuBZ7+u5IRcugsHu/BUB8sAduGgVWq4369l4OFjc69WEJ83ZheqgnSaF6JvjpaO7s5Uh5iyCgGpykvga2Hw+HAHc1P5gdTlyQB/m1bRwpb+FQSdNF+coMxOihobKl67wvJCJ9XdGp5eTXtgsRoH6rgYWTfClp6OT9jDLq2+1/A7lUwnVTA1iTFiKMF6lt7WbdwTLe3V8qNBRIJXBVtB+r00KYHek97sb/iAymqqWLl3cW8d6BUiEqGu7jwgNzI1gWZ0Qpl1Lb1s3arfm8e6BU+Iy5doo/P79mAlF+Ourbe/jfriLeTC8W/j+SQ/X89vpJ/PmLE4Nqhh65egI/nh9JUUMHj248KnjZxQd78NRN03BTK/jLFyeEuW4eWgUPzougoaOXF3c4NucsmuLH75dOYf3BMl7bUyS8n8O9Xbgxzkh6Yb1wIRAX5MEzN08jyk/HweJGbnkhXdjPsjgDP1kQxUPrsoS5h8lherJKmzBZbCyLM/DPlXGXLAMhiqUxZLTEUk5lC0ue2z3kB3bRk4sv6A3W0mni3rcyBv2jXSz9XkPTjO7szq/n48MVDpGIaH8dNyUEcmOcYVQNBIeDzWZjS041T23OFeqOwn1cePQ6e0Tghe0FfH2i5rxOluHeLkgkdrM4Z8FAV5Ucd42Cho4eIeXS72d1a1IQLuNgNEB/FCmzpImsMnsKz1nayttVxaxILyJ8XFEppJQ1dnGwuNFp27+PTsX0UE+mh+qZHqrHTa3gaEUL2eV28XS0vGVQis1do8DPTSV0/wyHu2eGsiI+kMPlzec1cHq0uTUpkPr2XrbnnrYE8HdTc3tKMLclB+GrU2Oz2dhf1Mhb+0rYcqxaENn9xpa3pwQT6Km9hM9CZLgU1rXz4o5CNmWVCwIoxujGg/MiWTTFH5lUQkuniRd3FvDanmLhvT87yptfXDOR2CAPatu6eXlnIW/vOy20phjc+MlVkWSWNg/qOr56sh/P3x6PVCLhpZ2F/OvbU/SarWiVMn65aCKrkoN5dU8Rz2/Np7PXgkQCtycH84trJuKhVbAxs4JfbHCsddK7KPnFNRNZOT2Ijl4zb+wp5pU9RUJnZmKIJ/Mm+PDSzkLaeswoZVIeWmivTTpe2eqQFpwZ6cWLq5P4x1d5vLpncOH5g/Mi+NW10SP3IpwHolgaQ0azZunRTUederNE++vY/PCcC96vzWZj+p+/HZXhrwqZhOunBrA6LYTGDhObMsv59kStECqWSmBWlA83JRi5ZrI/GuXYFqQeKmniyS9Ou896uyp5aEEU/u4aXt5V6CAidSo5XSaL0whRP8lherp6LQ7t5s4YmPKcYnDj/rkRLI7xH/dpytrW7gEDg5s4Ut4yKP0V7uPCrEhvYozuqORSTla3cbCokSPlLYNSBK4qOfHBHiSH6pkepmeq0Z3ihg7SCxpIL2hgf1HjoHSnn5uKGIM7RX2mmeeD0UNDe4/5vFuhz0WEjwvhPq7kVLQ4TWcOxQNzI/jZ1VHCMNuPsip4a1+JgzBMCvFk9YChtyLjn2MVLfx3ewFfHKsS/s9TwvT8aH4ks6PsTumdvWZe31vMC9sLhJRcXJAHv7p2IjMivKlp7eaFHQW8u79U+B+bFujOQwuiaO8xDyrQ9nZV8fXP5uCuUbAlp5p/fJ0nOLXPmeDDn5fFUFDXzhOfHhcuChNDPHnihinEGN1p6TLx2w+PCnYzyWF6bkow8vKuIvL79jPF4MbjN0xheqie9h4zb6WX8J9t9vEr/m5qHr9hMusPlglmwzFGN56+KRaJBK771y5hrdH+Ojb+cAb7Chv4xYbBflB/XBbD6tSQEXxFhscVK5bWrl3LM888Q3V1NbGxsTz33HMkJycPuf2GDRv43e9+R3FxMVFRUTz11FMsXrxYuH/Tpk288MILHDp0iMbGRrKysoiLizuvNY2mWGpo7yHxT98Muj02yIOPfzTzgvf7j6/z+Pe3py5macMiPtiDu2eGMSPCiy051WzKrHBwNO7vIlqRYCQ1zGtU0wvF9R08veWkMPtIrZBy98wwDB4a3tlXIqRwFDIJAe4aOnvNQrrEGddM9qOuvee8ZuLNmeDD/XPCmRHhdVkVvg+kf0TOnvx6dufXk13W7BBJk0pgWqAHsyK9SQr1RCGTcrismYPFjRwqbhrU6aaQSZhqdBciT3HBHpQ2drI3v569BQ1klDQNSg2GeGlJDfOisbOXr89z3M5osjTWQK/Z4rTm41xoFDKWxRtZnRoyLlPWIs45UNTI2m35DoNqF0T78uD8CBJD7F3AvWYr6w6W8twA1+2Jfjp+sWgiCyf5UtViF0nrDpYJ7/X4YA8eWhCFt6uKJc/tHnTcr382h0hfV745Ucs/v84TuiM9tAp+v2QySSF6/vDZcb45YX8veruq+M3iaJbHG5FIJBwoauRn6w9T0dyFTCrhkasn8MDcCGRSCSaLlTfTS3j2mzwh/bY01sCj10Vj8NBQWNfOfW8dIr+2HaVMyp+WxSCXSXji0+O0dJmQSyX8aH4k18b4OwgmX52KzQ/Podds5b63MhwaKqQSeHF1EldPHl4d7khxRYql9evXs2bNGl544QVSUlJ49tln2bBhA7m5ufj6+g7afu/evcyZM4cnn3ySJUuW8O677/LUU0+RmZlJTEwMAG+99RZFRUUYDAbuvffecSeWTtW0cfU/dw66PTHEk40/nHFB+9x8rIoH3j49RPGBuRG8lV48qhYDfm4qbk4MZHl8IHKphE1ZFXyYVS60zoK96HFZvJEVCYFE+o5ccXNjRy///vYU7+wvwWSxIZHA9VMDMHpq+Cy7SkgzuShlRPrpaOsynbX4+KaEwL4OsOZhHV8ulXBDrIF754QzKeDKOwm2dJnYV9ggiKczIz9qhZTkMC9mRXqRFu6NRGKP7h0obuRgUaNTD6cJfq6CeJoW6E51Szd7Cuzi6Uh5y5i5o/fjppZzzRR/ssuaHWasnYtofx1/Xh6DViln16k6/vLFySG3nTPBh0VT/JgR4U2ol/ayFdPfBWw2G9tz61i7LV+IUEslsGSagR/OixD+zy1WGx9l2V23++v7gvQaHrl6AjfEGqls7uK/OwrYkFEmpOySQjx5aGEUkwLcmPHk1kGR2f+tSWLBJF925NXxz6/zhI42V5Wce2aGckdqCO/sK+GFnYX0mq3IpRLunhnKTxdEoVMraO8xs3ZbPi/uKMBqs194/Ou2eMHkdCAN7T387atc1h0sw2azC/oH50Vw75xwTBYrP38/W5gNuiYthAfmRvDEgG69aH8dP74qkh+/myXsUyGTsP2X8zGZrSx6dic9fWs0W22oFVLeuzeV+OAL6wC+EK5IsZSSksL06dN5/vnnAbBarQQFBfGTn/yEX//614O2X7lyJR0dHXz22WfCbampqcTFxfHCCy84bFtcXExYWNiwxFJPTw89Pac/4FtbWwkKChpxsWSyWLnpv3udtjMnh+l5//60897nmcV300M9hRlEY0VsoDvL440siTVQVN/BpsxyPjtS5dDqHRvozoqEQJbGGi54bly3ycJre4r5z/Z8Yd/TAt0JcFezv6hRyL33T7Wva+8RChCdsTo1hIySpmGP/XBRyliVHMw9s8LOqxD/cqeyuYs9+fV94qlhUKrXy0XJjEhvZkV6MSPCG5vN/r48WNzIgeJGp2k2g7ua6WF6LFYbB4YQWGPNj+dHIpVKLipCq5RJkUoZZNEQ4K4mLcL+95kR4fWdev+MZyxWG58freK/2wuEzwGlTMpNiYE8MDecEC+7EeiQrtsLoliZFER1Szdrt+WzMbNcSPGnhuv56YIokkL03PnK/kE1pb9cNJEH50WQXtjAP77KE0SaRiHjrhmh3DcnnH2FDfz58xPCBeCsSG8ev2Eykb46TBYr6w6W8a9v8oSI+c2JgTx+wxRcz1Eveayihcc/yRGOGeip4bHrJ3HNZH+e35bPP762d8Alh+pZe0cC+4sa+P3HOTR29CKV2KNSZzqGf/PIHL45UctfvzyJq0pOmLcLRyta0Lso2fjDGWM25eGKE0u9vb1otVo++OADli1bJtx+11130dzczMcffzzoMcHBwTzyyCM8/PDDwm3/93//x0cffUR2tmMx2/mIpccff5wnnnhi0O0jLZb+t6uQP31+wumAxNRwPevuOz+xtK+wgdte2nfO7RZP9aeovvO8ZoFdCHKphHkTfVgeH8isKG92n6pnU2Y52/PqhMiBfRtfbkowctUk32HVb1itNj46bHfG7a8lcVPL8dGpqGjuEk5MIV5aEkM8KWvsPKtgnDvBh7LGzmG3uvvoVNwzM4zbU4Jx13y3Z3HZbDbyatrZ3See9hU2DOp6C/XSMjPSm1mR3qRFeGGx2jhY3ERGn4A6mzt6qJcWL1eVQ2r3UnFdjD+/XzoZrVJOZmkT//rmlOC87IybEwOZN9GHlDAvihs62JvfwN6CerJKmwdFE0K9tKT1Cae0CK9zzrcTGVl6zBY+zKzghR0FQrevVinjjpRgfjA7HL8BDSt7+ly3+yPP7hoFD8yN4HszQqlutYukD7MqhM+4WZHe/OSqSJLD9Px188lBXWnXTPZj7R0JHC5r5h9f5ZFeaLeRUMml3Jlqj+Y0d/by+Kc5gsWE0cMuZq6N8Qfskwae3pwrfIaFeml5dPEkFk3xH/bfwGaz8Ul2JU9+cVLo0pwR4cX/LZ1CWWMnP1t/mLYeMwHual64M5FATw2Pf3pcMGl1U8uFOq1+Pnggjf/7JIecylYWRPtS29bD0YoWQry0bPzhjDF5n19xYqmyshKj0cjevXtJSzstEn71q1+xY8cO9u/fP+gxSqWSN954g1WrVgm3/ec//+GJJ56gpsaxpmA8Rpb+/lUuz23NRyWXDiqo1ShknPjjtcPe1+dHqvjRu5nn3O7lNUmsP1jKNyeGP/drJNCp5SyZFsDy+EDCvF347EglmzIrHIqm3dRylvT5NyUEezpNU+zJr+cvX5wQHJLd1HIUMimNnb1C0eVUozspYXpOVLc6ndk1cE1apYya1uFFMSJ9Xblvdjg3xhvEotwh6DVbyS5vZvcpu3jKKmt2SKlJJPbXZ2akN0YPDSeqWll3sOy80m4pYXr2j3Cn53BRyqROBxPrVHImBbihVso4WNTo0P0nlUB8sL2zaN5EXyJ8XcgsaWavkHZsHtRdOdFP1xd58iIl3Os7L8pHi44eM+8dKOXlXYXC54CHVsHdM8K4a0YIHtrTUe/DZc08s+Wk8JmiVcq4Z2YY984Jp66th7Xb8vn4cIXwWs6Z4MNDCyJJDNHzaXYlP3kvy+HY3q4qvv35XIrqO/j7V7nCNAGlTMptyUH8aH4kWqWMf31zitf3FmO22lDKpTwwN4Ifzo1Ao5SRUdzIX744Ifh5ebkoeWhhFKuSg1FcYGNJZ6+Z/24v4MW+NJ9MKuHOlGBuiDPyyw+yKazrQCmX8pflU7k5MZAtOdU89tGxIY18f3XtRP7+VR4Wq42nbprK89vyKWvsIjbQnffuS0WrHN0uYVEsMXpi6UxGq2aptdvE1f/YMeTJOv/P1w2rk+r1PUU8/unxc2737r0p/HLDEYdW8W2/mIdcKuFPnx8X8tCyPlPBtm7TWQugL5QgvYblcUaWJwQK85M+zKwQrmbAHhVaHm9kRXygMAPsyS9PsL2vI0OnkhPm40JpY6eQbpsd5U1quBcHihodijGdoVZIB6VGhiI5VM/9c8OZP9FX9L85T9q6TRwoahQiT2ezCrh+agBJoZ6DRPSlZM4EH6Ya3Xh7X+mQ3XZTje6sTgthRoQXgZ5aeswWDhY1sT23lu15dULXUT/erkrmRPkwd6IPc6J8kMkkHCxqZG9BA3sLGgZFfKUSiDG6C2m76aGeo36CudJp7uzl9b3FvL63WPj88HNTce/scFYlBws2H1arje15tfxvV5EwLkQpk3J7SjA/mh9JU2cvz23N57MjlcLF2lXRvvzkqkjigz3JqWzh+n8PLt7+5pG5dJss/PPrPMF5Wy6VcEtSID++KooANzUfZlXw5JcnhTT3wkl+/H7JZIK9tOTXtvP05pNCPZFGIePe2Xbhphshx+yyxk6H84KnVsF9cyI4UNQgdMZ9b0Yov71+Ep09Fh5an8X23Do0ChlapczBb83oYXfWD3BX8+LqRNa8eoDmThP3zAzj90snj8h6h+KKE0vjKQ13JqNZ4L0lp5r73zrk9L6vfjaHCX66IR9rtdp4asvgsK4z/rgsZpA3zTeP/H/2rjKwjTNtjphlWUyWmZntMDnMTRpok7Yp90rX9u56d6WD70p3V2ZI0jZtmJnRSRw7ZoyZmdmW9P1Ya+O1JAcau2nP88/WarWSVrvzPs88M5Pgoby+/7N5dXhjXyapKVGJOXDks9HW3W/Ti+dOINQgwdJQHeYGapBT3YYdV8txOKParoEhk07DJC8F6tt7SK2XQcrH8nA9rpY2kT/inwsajTCPe2yS26iKEX+raO7sxbbEcvznWO5Nk9QQJwnWxDgjq6oV39xkaKgFAjbjF8lMdJLyEOtGkJpYdxlUYi7KmzpxJq8Op3PrEJ9fTzkuOo2YfJ08UHUK0jmgeUBQb6k8DdV4sRg0hDhJyLZdqEEyVum8SdS0duPrc4XYdLmUvMa4yPh4YrI7loTpyM+xq9eIHVfL8e2FIvLzZ9BpWBKqw/MzPNHW3Y+PT+ZTbATi/FR4dponAvVEBuKUf5+2ev31D0ZCK+HhvWN5OJxJTO1a3Lyfm+4Jg4yPjIoWvLYng6wWucoFeG2BH6Z6K1Hb2o33T1zDloFqLJ0GrIg04PczPEfM2+5Cfj3+ti+TXOj4qEWQCtgkeYx2JXRMXBYDSz65gGu17fBRi8Bh0m222NfGOiPaVYbf/XgV7goBTrw4ZUSO24LfHFkCCIF3VFQUPvroIwCEwNtgMODpp5+2K/Du7OzEvn37yP+NGzcOQUFBP0vgPRQjSZa6+4zwefWwzceG0y319pvwpx1pVhk/trA8XG+VHXfw2Yk2x5d7+03YEF+ET08XkCsuLosOtZiLPqN5xEgTi0HDVG8llobpEeMmxf60KrxyA+NBNoOOCZ5y9PQbh2233Qo4TDqWhevxyES3URMg/paRVdmK7y4WY3fK9Ww0MZeJeyOc4KYQ4pvzhVYhnfbAZxOj9zlVrbeUQ3czCDVI8NhEN8S4yZBS1oyHNly54XPWxDgj1l2GzMoWu1N8bnIBYgd0SDFuMoi5LCSWNOJMbh3O5NVZOZJLBWxM9JRjykDVSSbkoLqlGxcL6wc0Tw1Wv0EOk45IFynZtgvUOdz13l6jjZKGDnx+phA7ksrJNqqvRoynprhjbqAGjIGKcU1rN767WIxNl0vJ65+Iy8SqKAMeGOeCpo5efHTyGsU6Yk6AGk9P84C/1gFZla2Y/9E5q7bqH2Z5Y3aAGu8fv0ZWoWg0YGGwFs9O94S7Qoimjl68ezQXPyWUwmwmzvdnpnli3QQX9BnN+PJsIb46W0i2eOP8VPjTbG/Kgnek0G804YdLJfjvsTy0dveTk4Enc2rR3tMPrQMXX6yJgJDLxMKPz6Otux9Lw3Sob+/FWRtV/i/XhOOxgSJB6uszR7TN/JskS1u2bMEDDzyAL774AlFRUXj//fexdetW5OTkQKVSYe3atdDpdHjzzTcBENYBkydPxltvvYV58+Zh8+bN+Ne//kWxDmhsbERpaSkqKyvJbby9vaFWq6FW35z4bSTJUmdvP/xeO2L38cRXZliJ4Np7+vHkD0lkj3s4+KhFlAsyl0XHlsdibxjM2dVrxN7UCmyIL6G0BeRCDsxmM1q7+24pIuRuAI/FQJ/RZNOA0pHPwppYF6yNdR4T1/5M9BlNOJJZje/iS8g4BoA4F5eF69FvMmNbYhmFJI1zl2F2gBqncmpvuTr4QKwzeo0m/JRQdsfegwUiDhNiHuuGiwRXuQAvzvSCgM3ExULCfDOjssXK7dyiRYpxkyHGTYquPiPO5BJVpwv59RSPKou+a4qXApO9lQhxkoBOA8oau8iqU3yB9TSikMNEtKuUbNv5qEX/s+3j7KpWfHa6APvTKkkCE+HsiN9N9cAU7+sh4BkVLfj2fBH2pVWS1zWDlI+HxrtgeYQTCmrb8dHJa6TW02JP8sw0T3iphDiVW4t1GxKtXn9+kAYvzvTGRyevkblwADFk8/wML3ipRDCazPgxoRT/OZpLErSFwVr8ZS6RNrA5gYhrskgiQpwk+MtcX0S5Skfyo7OJxo5evLYnA/vTqkCnAc9M88S+1EoU1neAw6TjzaWBcBSwsW7DFZjNwN8W+iO+oN7Kl8xDKURHTz+qWrrx3booTPJSjNgx/ybJEgB8/PHHpCllSEgIPvzwQ0RHRwMApkyZAhcXF2zYsIHcftu2bXjllVdIU8p33nmHYkq5YcMGPPTQQ1av8/rrr+ONN964qWMaSbIEAN+cL8I/9tvWHK2KcsKbS4PIv2vburHss4tWgbkTPeVW5EnIYVKcknksBr57OAqRLjf/IzObicmljReLcTijmlw5c1l0MGg09PTbJh8AIZRs7ryzrsq3A7WYi36TGY0dPVYrPgGbgaemeuCh8S5jOpCfidq2bvx0uQybLpeQo/9MOg2zAtQY7y5HVlULdl2tINtQAjYDS8P0CNCJcbGgAQfTq8lVv4TPQoyrjGxV3CxYDGK60mgy42SO/SGGe8KISTW9Iw//2J9lt1JFowHhBkeMc5dhnIccChEH7x3LIx2R7WF1tAHrxruisK6dJE9Dq0g0GhG2HOsmwzgPGcIMjsitbsPpgZbdUO2SA481UHVSYrKXAgoRsXDJr20fIE71uFjQYDWR5MhnYbyHHDP91Zjqrbhjmpa7GUkljfjkVAHlHJjircBTUzxIkmEymXEipxZfnyukDAxEuUjx8ERXzPBVIbW8GR+euEZqJekD1aCnp3nAVS7ED5dK8PreTKvXn+Wvwh9n++Crs4XYnnTdPmCGrwq/j/OEv9YBJpMZx7Jr8MHxa6ThpI9ahDcW+iPaVYrDGdV458j1uCZXuQB/HKhQ/ZIeXSaTGX/akYZtSeWg04B/Lg7E8ewa8rNeN94VEj4L/z2WBxaDhh8ejsaPCaVW1gIW/H6GF56b4Tlix/ubJUt3I0aaLJ3KrcVD622X/Wk0YN/TExCgc0BRfQem2uiD38x0EJtJx4YHIzHOQ37bx1nd0o1Nl0vwU0Ipucqx/GaHO8vYDDrMMI96JcpbJYLJbEZRfYcVoSN6/U74fZwXlKJfNsfu1wyz2YyrpU3YGF+CQxlV5HcsF3KwIlIPhZCDI5k15Dg0QMSILI9wIsxLr1aQNwqA8N/yVIlwIK3KKk/udsGg06B35EEu5CCrsnXY/S4I1sJDIURlcxfiC+sppqoAsUiwtLxi3WQoqu/APw9kkyHNtqAUcfDaAj9Eu8pwpbgRFweIzdD2I4NOQ4DOgbAPcJPBIOUjoZho2Z27VmdFggJ0YlLrFOokAZNBh9FkRnZVK1l5SihqpOj/2Aw6xnsQVbwZvirIfkNVVLPZjLPX6vHJqXzSw4hGA+YGavDkZHcE6BwAEBNw25PKsf5CEWkTwKTTMC9Ig4cnuCJIL8GV4kZ8eOIauQBl0GlYFKLF01M9oJXw8NahHGyIL7Y6hscnuWF1tAFfnyvC5ivXw3MneynwQpwXgp0k6DOasC+1Ep+dLiANUMVcJl6I88L9Mc5ILmvGvw5mk8kBMgEbz8/wxMqfMeF2pzGUML23IgQFte348GQ+AEJCAgCXChuhEHGw53fj8c7hHOy2QZimeiuw/iH7KR0/F2NkaRQx0mTJZDLD7S8H7T4e5SLFn+f6YN2GK1Z5OzIB22bK+2CwGDR8uSYCU32sXdBvBz39RhxMr8KG+JKbdrm2gM2kW0VbjDYmeMjx13m+v0m37dFCd58Re1MqsfFiMWnjABDO83MDNWjp7MW2pHJUDfhg0WmExmKipwL5te3YcbWcNBLlMOmY5qNEn9FMRjcMxZ/n+KCj14jtiWW3lNOmk/Dwh1neGO8hh4DDwPakcry2x7oSYIEjn4WJngpM9lJgkpcC3X1GxBfU40K+7ZaXiMtEjBuhFfJQCrE3pdJKHzgUi0O0eHGmNzhMOll1uljYgJIGarWYxaAh3NkRcX5qTPNRoqG9B6cHtE5DpwXFXCZ53JO9FaQvUJ/RhNSyZpzIqcWRjGqKlxidBkS4SDHbX41ZAWrofqXGmEYTEZr96el80nSWxaBhaagej092g5uCSAuoaunChvhi/HS5lCSeYi4Tq6Od8cA4Z2gceLhY0IAPT1wjyT2TTsPSMB2emuIBCZ+FpzZdJYXNg/Hm0kBM91Hi8zOF+OFyCXmNG+cuwwtxXohwkaK7z4htiWX44mwh6fYt4jCxJtYZD09wRVNnL94+nEvG+/BYDDw6yQ2PTXK7oankL4GhhOn9laFgM+h4cWsKOnqNcOSzyPtViJMEmx+LsanPFXOZSH195ohVy8bI0ihipMkSALy4NRU7rg5/kb1Z8FgMMOk0tPX0g0Gn4ZPVYaR52Z1GSlkzvosvxv60Kpv+M6MJL5Xwhin23zwQgWk+yrGoidtEWWMnfrhcgi1XysgWK4dJx8JgLQL1DkgqacLB9OsVJpmAjeURTlCJOTiRXYvz+ddbxc4yPsINjkgobiRvHoMR4eyIRaE6XCpswJGMarI66MhnYUmoHgoRB+eu1dm8ed0M7gnTI85PiebOPpzJq8P5a/VWuXaW6s1kLyVCDRIU1XcgPr8eFwoacKmwgeJKDxAVNYuxZGevEesvFNl8bxYIOUy8Nt8Pi0K1qG/vJcOGLxbUW5FCH7UIcX4qxPmpoHbg4lxePU7nEVWnoe1uX42l6qRAuDOR32dp2R3OqMaRrGorN/tAnQNm+aswO0A9KqLhn4vefhN2JxNGkhYSyGMRrvqPTnKFxoEgf2nlzfj6XBEOpleR55CLjI91E1xxT5gefDYD8QUN+ODENbIixWLQsCzcCU9NcYfJbMY9n8XbtFHZ9Eg0/DRifH62AN/Fl5BVy0gXR7wQ541Ydxnauvvww6VSfHO+iCTbMgEb6ya4Yk2sM7p7jXjv+DVsuVIKk5moYq2IdMLz00duwu1OwRZh8lWL8Oh3iWTVzoIVEU4INUjw8s50q/2cemnKiA3UjJGlUcAnn3yCTz75BEajEXl5eSNKlhZ+fB5p5S12Te9uFh5KIbQSHs7m1YFGA95fEYJFIbo7eKS2UdfWg80JpfjhcslNmzz+EtBJeJgfpMGCYC38teIx0nQTMJnMuFBQj43xJTiRU0O2XPWOPCwL14PLYmBfaiWlwhRqkGBugAat3X3YPqjCRKMRlT0+m2E3jPaZaR7gs5nYebWcktMWZpBgqrcSLV192J1SSd546DTC2+a+aGdM8lKAQaehvacfbx3Kxg+XSu2+rygXKeEs7ilDkF4CgCD/p3NrcSavzopMiDhMjPcYmFTzIqo3GRUtpF7oSnGjlS2C3pGHyV4EYUkqacKmy/aPByCqb3+Y5Q1PpRAlDZ04kVOLo5nVuFLcSNHbqcVczPBTYqafGlGuUmRVtZJVp7TyZkpbXMhhYryHDFO8lZjirSBJRFljJ45m1eDIwP4HP8dNIcAsfzVm+6sRpHe4q34nrd192J5Yjq/OFZLnlZjLxIPjXPDgeFdIBWwYTWYcy6rBN+cLKe79MW5SPDzBDdN9lKDRgLPX6vHhiWukQzybQceKSCc8McUdlc1dlOgoCxx4LOx4chwUIg6+PleIb88XkTq8YCcJXozzwkRPORo7erH+QjE2XiwmSbVOwsNjk9xwb4QTjGYzvjxTgK/OFf0iE253CrYI02QvBZ7bnExqvSz4+yJ/m5XdP8zyxu+meozI8Y2RpVHEaLTh/F4/jO4+E46/MAkz/msdrHszWByihYTPJnvp79wThHsjne7gkd4Y9iahfincG6HHBE8FTufU4mhWDUXw7iYXYH6wFguDNb+qi9Nooa27DzuSyvHdpRKK189ETzmmeitR0dyF7UnlpFmjpcLkoxEjpawZhwdpmKQCNmLdZSiq66BolCzQOnDx1FQPZFa2Yk9KBamz4bEYWBishd6Rh+SyZpzKrSVv6goRBysjnbAyykC2kGrburE5oQw/Xi4lTU5pNCDUSQIPpRB0Gg0XCqy1SEIOEzFuBHma6CmHu0KI+vZenLtGEJCzeXVWLXAvlZCsOkW6El5cyaXNiB+oDCWXNlO0ckIOE5O9FJjhpwSLQcdHJ/KRW0MVfQ8GjQa8Nt8PyyOc0NdvwsmcWhzLqsHZa3UUHZKIw8RkbwXi/FSY4q1Ev9GEc9fqcTq3Fmev1VvpqbxVIkz2VmCKlwIRLlKwmXTUt/fg+ABxupDfQFmwaRy4mOWvxkx/FaJcpL+YLUF6eQs2XS7BnpRKklwoRBw8MoGIHrKEyG69UoYN8cXkEIwl6HrdBFcE6BxgNptxKrcWH5zIJ2UEbCYdq6MMeHyyGy4WNOCFralWrx/lIsXna8LBYtCw/kIxvjpXSJIgf60YL8R5YZqPEpUt3fjqbCE2XyklybO7QoAnp3hgUYgWAPBTQik+OH6NlFCEGogJt1sZvrmbYEvDND9Ii7/uSsfmK9enVC2BurZQ/Na8ETm2MbI0ihhpslTT2o3of50AAHy3LgoaBy7i3rs1wvTPxQFo6ujFfwYCD/++yB9rY13u9KHeEjIrW/D0j8nkNMcvAQ6Tjjg/FZaG6RDlKsP5a3XYm1qJE9m1lIgZX40YC4I1WBCkhZOU/4sd792AazVt+O5iCXZeLSdXzEIOE0vDdHCWCXAhv55CWvSOPCwN04PNoGF/WhVl6ivYSQKNmGt3qm1NjDNc5AIcTK+i5L95KIWY5a9Cn9GM/amVlJbUBA857os2YIafCiwGnax8/ZRQiqOZNeTFWCpgY0WkE1ZHGay+09KGTlwoqMf5/HrE59dbESEXGX+g5aVGuDNBhNIrWgb8kWqRUkaNKOGxGBjnLsNkb0I35CwToKOnH5eLGnA8uxbHs2oo4cAMOg3RrlLM8FUhylWKQxlV+ORUwbDfywQPOV6a5Q0ftQjxBfU4llWDY1m1FB0Vk05DjJsMcX4qzPBTQSPmIr2iZaDqZH3cAjYD4zzkZMtO70g495/KrcORjGqcyq2lEDNHPgszfFWY5a/GBE85uKyRNcPs6jViX2olNl0uoRgceiqFeGCcC1nZLG/qxMb4YmxOKCNbqRI+C/dFG7A21gUqMRe9/cRC7suzhaTmi8ui475oQjP0U0IpPhoQKA/GfdEGvDrfDyazGRvjS/DF2esedN4qEX4f54lZ/moU1nfg89MF2JVcQZ6DQXoHPDXFHTP91KDRgEMZ1Xj3LpxwuxOwRZim+Sgx9d+nbyoJYows/QYw0mTJbDbjse+TSGGfiMO00k4Mhx8fiUZWVSv+eSAbAPDXub54dJLbHT/OW0F+bTveOpRjV7A70hBymDCZzZQLvVzIxoJgLe4J08NFLsCxrGrsS63C2bw6ymon1CDBgiAt5gdp7nrNwJ1Cv9GEEzm12BhfTNEAeSiFWByiRb/JjF3JFRQR8iQvBca5y1De1IndyZVk1Y7LomOChxxNnX12A3BfX+CH6pZubEsqJysfTDoNM/1VcJMLkV/bjuPZNRSd0vIIJ6yKMpDahrq2HmxLKsPmhDKKlUaYQYK1sS6YE6i+6WDmrKpWXMgnyNPlokbKEIIjn4VpPoRWaJKXHHw2E82dvTifX0+2vobmYrnI+OSkWoybDBwmHWkVLTieVYNjWTVWFSUftQgzBwhOV68Rbx3OIaeh7OEPs7yxItIJpY2dOJpZg2NZ1VYTdv5aMalz8tOI0dzZh3P5A1WnvDqrm5iHUkgSpyhXKcxmwsH5cEY1jmfXUEilgM3AFG8lZvqrMM1HeUctCfJr2/DDpVLKIACLQcOcAA3uizYgylUKGo2G5NImfH2+iGJr4qYQYN14Qo/EYzNQ2dyFnxJK8VNCGUkseSwG1sY64/4YZ/zfgWybZP71BX54INYFvQOGjJ+fKSA/LzeFAM/P8ML8QA2yqlrx6el8HMqoJhcQsW4yPDXVHRM85KDRaEgoasSbh65PuMmFbDw3wwsrI53umgm3OwGTyYyXd6Zha+J1wtTTZ8Ifd6SBQadBKmDbzZDL+cfsESHfY2RpFDEaAu+efiMe/z7Jqsd7I/x7eTC6evvx6kAf+IU4Lzw7feQ8K26EurYevH88jwxHZdBpWBnphOdneKGr14hJ754a0dcfWuYVsBmg0WjoNZooN0BPpRBLwnRYHKIDj8XA4cxq7EutxMXCBvKCR6MBMa4yLAjWYk6AGo4C9tCX+9WjsaMXm6+UYtOlUtJ40TK5FukixbWaduxJve6+LeIysTRUB9WAwHiwJYCrXAAPpRCnc2tt2kTM9lcj0lWK07m1FE8wjQMXswPUYNJpOJZVQxGGRro44r5oZ8wOUIPLYtitIok4TCwJ02FlpMGmM/2toKOnH2fz6nAsqwYnc2sp4mkOkyCCcX4qTPdVkV5H2VVtOJNHVG8Si5so5yCbSUe0q5QkIe4KIUobOwcqQzVWeiSNAxczfAni5K8VY2tiGd45nDvsMYc4SfDHWd5QiDhkuy6ptImiQ9JJeIjzU2GmnwqRrlIwaLQBrROh0bpaSg09Hlwtm+KlhFbCRUJxI45mEu26qkHVPjaDjnEeMsz2V2OGn+q2jF17+004nFmNTZdKKFYoTlIeVkc5Y3mEHnIhB/1GE45kEnqkwf5Y4z1keHiCK6Z4EVO/8QUN+P5SMY5l1ZCfr1LEwcooA+YGqvHkD1dtVr3XPxiJqT5KdPcZsTWxDJ+cyid1mAYpH89N98SiEC0SS5rwyal8yrk8w1eFp6a6I2wgIim/tg1vHcolF408FgOPTXLDo3fphNudwFDC9N97Q/DN+SKkV7RgvIcMmZWtNv33tj8Ri4gRaEOOkaVRxGiQJWD46BNbiHB2xL2RTvjj9jQAwFNT3PGHWd6/SDm3s7cfX58rwhdnCsjWzQxfFV6e4wODlI9vzhfh7cM5o3Y8LjI+5abLpNPAYRIruO5+E3lToNGIVeDSMD1mB6jR2dOPA+lV2JdaSbkQM+k0TPSUY0GwFnF+ql+9sV9aeTM2xpdgX1olSSKlAjbuCdNBKuDgRHYNEgdVhXzUIswOUKOr14jdKRXkzYNOA6JdZTCZzXa9vl6M80JnnxE7r5ZTxP8TPeXw1YhR1dKNI5nV5HGIBlp+q6Od4a0mtGT2qkihBglWRRkwP0gzIqai/UYTrhQ3EcQmu5qidbJooeL81IjzU8FDSYyot3X3Ib6ggSBPuXVW7t86CQ+TvIh23XgPGfqNZrt6JOGAHmmmnwpTvJQoaujAv4/kUqYKbeF3U90xJ0CDrMpWHM2qwfn8Oor4XMxlYpqPEnF+akz2VkDIYaKls2+gWkaQp9ohFQA3uQCTvRWYH6RBqJMj0itacCSzGoczqymaNjoNiHCWYlaAGrP8VdA7Dt/WLmvsxI8JpdiWWEZWbug0YLqvCvdFGzDJUwE6nYbW7j5svVKG9ReKyc+UzaBjYYgW68a7wk8rRktnH7ZfLcemSyUUm4QYNynWxLjAIOVjwcfWwbZ0GnDouUnwVotQ2dyFHy6VYPOVMrLqqZPw8Mw0DywN0+PctTp8ciqfvD4w6DQsCNLgySke5Pla09qN94/nYcuVsl/dhNudwFDCdH+MM767WAIaDfjTbB+8dcj6XjBSHZExsjSKGC2yBABrvrl8UzEmQ/HQeBe8Nt9v1ImS0WTG9qQy/PdYHnkjDNY74M9zfRHjJsOlwga8ujuDMtUEAE9P9UBqefNtvddbgZdKiD6jmbKCZDPpYA3EPwwONeWy6Jjlr8bSMD3Gu8tQ1dKN/WkEcRosSrb4Ai0I1mKaj3LEdRt3ChZ/rI3xJUgZ5I8VqHPA7AA1Wrv6sONqBdmqsLhv+6hEyK5upVRy5EI2gvQSpJW3WHkPAUSlY06AGoklTTiRfX1lLxOwMTtADR6LgXPX6intqACdGPdHO2NBsBYCDnNUqki3ArPZjNyaNhzLrMGx7BoyyNkCN7mAbHmFGhzBoNNgNptRUNcxEKRba9XiY9JpCHN2xJQBrZO7QoiLBQ04mlWD49k1lJYFk05DtJsUcQNVJxGXhZ1Xy/GP/VlWzvSD4aUS4ulpnqDTgDO5dTiRU0sRfbMZdMS6y8hjV4m5ZLXsdF4tTufW4WoJtVqmk/Awf0Dj568Vo6BuwJIgs8bKAypAJ8YsP/WAJYEQNBoNRpMZp3Jq8cPlEpzJqyMrYJbKz8pIJ2gl16f21l8oxtbEMrLVKxWwcX+0AffHOkMpIqYSf7hUQskgFHKYuCdMh/tjnFHS0IlHvrOOI/FRi/DDI9GQCdi4WNiA7+JLcDSrmvw8tQ5cPDnFHcvCnXA0qxqfnS4gNXlsJh3Lw/V4fJI7DDKCELZ29+Grs4X4etCE20w/ws3bQqb/V2AymfHnnenYklgGOg0wgzAvjnB2xCx/Nf7vYDZl+3mBGnxyX9gdP44xsjSKGE2y9OD6hFtuxQFA0ZtzR5Uomc1mnM6rw1sHc8gbnt6Rhz/O9sH8QA0aO3vxr4PZ2HmVGvTrIuPDIBPYDFe8FegkPMiFbJup1rbAZzMQapAgp6qNYuLJYzFAowEms5my8laIOFgcosWSUD38tGLk17ZhX2oVmYNkgYDNwEx/NRYGazHeQw428+7TH9hyXmcz6JgbqIaPRoy08mYcyawhq21KEQeLQrTgMBk4kllNIbpBegcy/8wWHp7gCg6Tjr2plRR/oRg3KYL0EtS39eBQRjV5I+Gy6FgUrMN9MQZyfP+XqiLdKqpbunE8m2ilXSygTpDJBGxM91Vihi9hxMljX0+zv1TUgDO5xIRd4ZA2kELEwSRPwlhygoccJQ0dZLtu6ILDVyMm22p+GjGyqlrx4YlrOJo1vE7wz3N84K91wJm8Wqu2J0Asdizidi8VQW5au/sQn19PtuAGLzKGTpWWN3WS2w1tMQ6NYLJgoich2p/uqyI9oZJKmvDN+SIcybxOXjyUQjw8wRVLQgk7lIPpVfj+UglF3+WjFuH+GGcsDtXhp8ulVjdlAFgUosXb9wTBaDJjZ3IFvosvpny+49xlWBvrgklecuxKrsAXZwrJc1HAZuD+WGc8PN6VrBKVNHRg/YVibEssIz+bsIEJt5FoLf1aMJgwDcYHK0PwwtZUSttX68BF/J+n3/FjGCNLo4hforLkoSRErjeLpaE6/N+SQPKiPJLIqGjBm4eycSGfuGE68Fh4ZpoH1sQ6g0Wn46crpXjncC45Um6BvQvl7cKRz0KgXjKwCm69qYkLgMjjEnKZSClrpqzy+QOfXb/RTLnx+ahFWBqmw6IQHZQiDjIrW7EvrRL7U6soLRYJn4U5AWosCNYi2lVGJpn/Urha2oRvB8SvlqqAWszFkjAdOEw6DqZXUUw8o1yliHGVoratB/tSK8mLPp/NQJjBEeVNnVY3VgBQiTlYHeWMvJo2HM2qJvVKYi4T84I0EHFZuFTYQKnEeCqF5A3Ngce666pIt4q27j6czavHsaxqnMyppUSTEIJ3opU2zVdJ0fOUNnTiTB7R9oovaKC04Og0Yppw8kDLTsxj4WR2LY5l1yBxCAnROnAxY6AyFO0qQ3e/EQfTqvB/B7KHHRZ5dronZvqpcGZAo5UyxJHfIOWThCzc2RFMBh3dfUacyqnFvrQbT5U2tPfgWFYNXt+bSdluMP61JBD3RujBZNDRZzThUEY1vjlfREkHmOgpx8MTXDHJU4GK5i5sulyKrYnX22QW8feaWGciaHZnuk0n9ZdmeuGpKR4obujAdxdLsCOpnPx8+GwG7gnTY22sMzQSHn68XIKvzxWR7UhHPgsPjXfFA7EucOCzYB5oPX97vgjHsq/7j3kqhXhxphdm+f/6J9zuBGwRJosdxdDImIJ/zb3j180xsjSKGE2ytOrLS3ZX7TeCn0aML9aEj+jo+/oLRWTZn82g44FxzvjdVA9I+GxkVLTgr7szbjkCZTDYTDoinB3R2NFrFTw6HLxUQsiFHPT0m5BSRhWqDodwZ0f0GU2UGzljQN9kNhOtK8uu6DRgvIccS8N0mOlHtJKSy5qwL7UK+9OqKO0ohYiDeYEaLAzRItRJMmoXzd5+Ew5lVOHbC8WU7yFqQGBc3dKN3ckV5A2Cx2JgfpAGKjEXCUWNFG8sV7kAajHX7vloEXofGaJZCTVIEOUiRXNnHw5mVJHTTJZq1n0xzohwdgSNRvvVVJFuBX1GE64UNeLoQEVoMKG2BPNaWl6WKA6AONeSipsGhOJ1Vue/JYplpr8KIU4SXCpsxLGsapzNq6fk3Q31XRJzmciuasP7x/OGrTq9GOeFxaE6nLtGkL4LBQ03nAps7+nH8awa7E2ttJoqdZUL0NtvQnNnL6USZQt0GqxaiWwmHUtCdFg3wRUeSiHO5tXh+0slFNsKrQMXq6MNuDfSCRwmA2u/uWyz2vzZfWGY6a/G6dxabLxYQqlsu8oFWBvrjHvC9TAazVgfX4yN8cXkYk/jwMWjE92wMsoJfDYTPf1G7E+twrcXiihGrJO9FHh4gismesrHSNIQ2CJMBinfKhB+JOwDxsjSKGA0HbwtcHn5wG09z1K1ceCx8OEqwkH1TsJoMuP/DmTj2wtFAIC5gWr8eY4vnKSEL8t/jubhu4vFw2onhgOTTsM0HyV6+k04e43QMLAZdDw0wQVPTfFAZkULNl6kTrbYAotBQ5BeAgadhqqWLivzweEQ5SpFbWs3pXrCZtDJlc7gGxKXRcd0HxUWBGsxxVsBJp2Gy0WN2JdaiUMZ1ZSqmt6Rh/lBWiwM1sJXIxqRC2lDew9+vFyK7y+VkCthNpOO+UEaOEsFSCxppOjDXAf0Nb39JhxIryK1MQw6DaFOErR299mNjnlisjuqW7pwKKOarBYI2AzMDdRAKmAjubSZQrqcZXysjjJgWbgeMiHnhlWkVVGG30xun0X7c2xAgzRUz+OuEJAC8VAnCeiDVtVVLV04O0Cczl2rp0SrcFl0TPFSYk6gGuM95Egtax54jeF9l3QSHlq6+vDB8Wvkb9kW/jjbGysinJBQ1IhjWTU4kVNLOadtTQU2d/biUEY1/r4vy2ZYMYNOw/cPR2Gcu5zM3PviTKHdwYBX5/shzleFgxlV2HS5hPJbnugpx5oYZ0zzUaK8qQuzPzhr5Z4OECHkTlIetiWW4/tLJeTNmUYDpvsosTbWBRM85Kht68FX5wrxU0IpWd1zlQvw5GR3LA7Vgc2ko6G9B5sGfmOW3wuXRcfSMD3WjXcZM7a9AUwmM57dnIz9aVV2txkjS79yjGZl6XbJEkB4qmRWtoJGA16a6Y0nJ7tTLr63i65eI57fkkzGU7w8xwePD0wt7E+rwj/2Z1lNztwsaDRC2MdnM7A/rYq8UM0P0uBPs32sqmTlTZ344VIpNl8ptRo/Hbo6VYo4cJLyYTSZkVPdavNiagtSAZtsgw4WwnJZ1/VIg/cl4jAJ3VKIFuPdZTCZgXPX6rAvtRJHs2oorRV3hQALg3VYEKyhVBVuF1mVrVh/oQh7Uq9PtVmqWkw6DYcyqsnKBo0GTPNWwkMlRFFdB07k1JIVOIWIAze5wO6NyzK5dnZIxcNXI8YEDyIH7VBGNfl5Meg0xPmqcF+MAePd5aDTaaht68b2pPLfVBXpVlHV0oXjWTU4mlWDS4UNFIsFuZCN6QOVm6GGj/1GomJ6LLsGh9KrKZ8fm0nHZC8F5gaqMc1bhYL6dlLnNLSV768VY4Yv8Rr+WjHae/rxn6N5Vu2QwfjLXB+sjnZGWnkzud/BejQaDfBSitDR24/atp5hg7KZdBrGe8ihceCitLGTYtVxM3h4givuizbAbUAIv+qrS1bb6CQ87HxqHBrae/HdxWKK6NuBx8KKSCesiXGGk5SPovoOfHGmADuulpPfhZ9GjN9N9cDsADUYdBpyqlux/nwxdqVUkO9NLeZi7ThnrIo0/CYtRUYK2VWtmPPBObuPj4T2dowsjSJGiyx9dbaQIka0VZq+EVZGOpH28jP9VPjPvcE/a8y9vr0Hj2xMREpZM9gMOv5zbzAWBGtRVN+B1/Zk/KxptnlBGrjJBZTssBAnCV6d74tw5+FFkd19RuxNrcTGeGrqvZDDBJ/NQFevkaLV8FaJwGUz0NHTf0taMBcZHzIhB+kVLeSFkkYjCBJrIMdv8IpfKmBjbqAaC4N1iHB2RM9ATMW+1EqczK2l3Ej8tWIsDNZifrD2lhLfjSYzjmfXYP2FIlwqvE5ugvUOCHN2RH17L2UUX8JnYW6gBlwmA6fzaiktM7+BCo6tCBIAWBvrjI4eIw5nVJGtFA6TjtkBaqjFXGRWtlLG2DUOXKyKMmBFpBNUYu7/VBXpVtHa3YczuYRW6FRuLeU84rEYmOh5vXIjHXRDNpsJE82D6VU4mF5NnfRk0DHRU445gRrE+arQ2NmLY1nVhO9SSRPleqKT8DDDl7APiHaTorPHiHeO5AybX/fKPF/cH+OMonpCeP7hiWt24ytemeeLh8a7oqqlCwfSqvD1+SK7hoRfrY3AeA8Z9qZU2gxatSDSxRENHb2Uc9iCaT5KvL8yBGdy6/DdxWJKJpyvRowHxzljYbAOPDYDmZUt+Ox0AQ6mV5GfSZSrFE9NccdkLwXMZuB0Xi2+PV9MOb+D9A54eIIr5gZqflNmkqOJuP+esRpWsKDwX3PvyAJ/MMbI0ihiNMiS0WSG+18Okn/bcvF2lvHR22+imMHZwltLA/Hankz0Gk1wkwvwxZpweKpuvURcWNeOB9dfQWljJyR8Fr5aG4FAnQM+PV2Az08X3FTgL5tJt1ppzvRTYaKnHNuSykmtkE7Cw5/m+GBBkOaWVhaWqZkN8cUUIbNUwIZazAWLQUN6RQt5QeSxGHBTCGA2A5UtXTbN0ezBRy0CfcDIzwIOkw65kAMmg4bmzj5Kq0LjwMX8IA0WBusQoBOjracfxzIJfcf5/HqKrirc2RELg7WYG6iBQmTb0M/iM7PxYjHZkmAMtC+VIg4yKlooeo1AnQMiXaRke8TSGhGwGfDRiJFT1WpTS+KjFmGcuxxXS5sogl83hQDTvJXoMxLmgRarCBqN0GvcF+2Mqd4KMBn0sSrSLaK33zTQ8iKIzeB4F4tvkUXn5DIond1iZ3AwvRoH06soCwFLFWdeoAZxfiqYzGacGPBzOneN6rsk4jIx1VuJOD8VJnsr0G80490jOfgpgTrFdKsQc5mg0WhWwx43gqWFPM5djprWbmy6VEL5TAbj8UluWDfBFZsTyrDp8vU2NJNOw+wANR4c54LwAY3cleJGfHoqH6cGTRxP81HiqSnuiHCRorO3HzuSyrH+QjE5qUinAbMD1Fg33pXczxhuH8N1T1JfnwkH3p31sBsjS6OI0SBLn5zKx7tH7Lv0eiiF2PHkOPT2mzD/o3MUcz9b+OnRGLywNQVVLd0QsBn49/JgzAnU3PTxXCluxKPfJaK5sw8GKR/rH4pEeVMXXtuTQYm8sAdPpdBq9RDlKsWaGGccSKsi4wWEHCaemuqOdeNdf7ZfUU1rNzZdLsWPl0tJ3QabQUekqyPEXBZya9ooK1K1mAsJnwWjyYz8uvZbagcE6x3Q1NlHIQJSARuKAeJU2tBJIbuucgEWBBGCbw+lCI0dvTiUQVgRXC66nvhOpwGx7jIsDNZitr8GDnwWCuvasSG+GNuTysmWnoTPIsz6BpLTLe0vNoOOOH8VFAPVsMFxI84yPkRcJjIqbFeRloTqwKDTcDSzmpzmYjFoiPNTwUnKR0FtO07m1JLEUy5k496BCBInKX+sinSHYDabkVnZSra8hlb9PJVCkjgF66k6p2uDiNNgDysGnYZx7jLMDdRgpp8KAg4T56/VD+iRaiiTpCzGIJ3TwCj/24dzsN3GdJkFcwPV+M/yEPSZTDiTW4cPT1yzWz2IcHbEeytCsPNqBd47nmdzmzg/wpCyuqV72EqTLShEHKyOMmB1tIH0jDqdV4fPThWQWjo6DZgXpMWTk93hpxWjsrkLGy8W46fLpeS5L+IwsTLKCQ+Mc7mhseYYbg57Uyvx7E/Jdh8f0yz9yjHSZOlKcSNWfnlp2Amuq6/GkaX42tZuRA0E7w6HD1eF4qfLpeQ00+OT3fCHmd43TA3fl1qJF7elorffhBAnCf5vSQA+OZWPg+m2w1AHY6KnHKWNnVaE6s9zfFDb1oPvLhajz2gGnQasjDLg9zO87FZSbhc9/UYcSq/GxovFFP+VYL0DgvQSdPT242hmDWljQKMBrjIBaDSgpaufIpAVsBnDTvLQaETrsLi+g5Kb5SoXwJHPAp1GVLYGj037qEVYGKIlx6urW7pxIL0Ke1MrbzhJ6KkUwkslQmt3Hy7k11PM86b6KMkWneXmx6TTyJuBLWsFBx4L84I0yK9tR8IgvZLekYcZvioAwPFsqkYl1k2G+2IMmOmnBps5VkUaaZQ3dRKZctk1uFzYSGl7KUScgVaaCuPcqTqn/Np2HM4gWnWDCRedBsS4yTAnUIPZ/mpIBWyklDWR03u2WlwjDamADQmPhdbufpsmpxbw2Qz8+GgMdidX2NVZfbQqlHDj7zViT0oFfrxcet1IkkHHPeE6PD7JHS5yAZJLCS+nQ4Oy5ZxlfDw0zgXLIpx+s5EkvwTyatqw6OMLNsX/ADFtmfzazDv+umNkaRQxkmSpqaMXcz88N2xr7S9zffDYJHfK/6pbuhHz5o0J0z1herAYNFLHNN5Dho9WhVE0EBaYzWZ8fqaQjCWZ4atEiJMEn50mIkxoNNitvkzxVoDFoJNhwBZ4KoWIdpNif1oV2fKa5KXAX+f6ktEAI4m08mZsiC/G/tQqsm0oF7KxKEQHIYeJhKJGymi8kMOEQsSByWxGVUs32UJkM+hQD4hS7UHCZ8FZykd2VRv5WvQBMiXistDTb7TKDQs1SLAwWIt5gURob051Kx7ekGgVkWEP49xlcFMIUNncjdO516s+ChEH6oHEeVuY4q2AVMDG6dw6sipFpxEtCYNUgPKmTpzMqSWP1YHHwrJwPVZFGeChFNqvIg1kx60cqyKNCFq6+nA6l2ilncmto1Qv+WwGJnkSlgHTfJQU4XFRfQcOZVThUHo15Zyg0YAoFynmBmowO0ANlZiLgrp2fH+xxC4ZMUj5+OfiALjIBHj7cA4OpNufbprlr8J/7g1BVmUrXt6ZZpeIrYlxRk1r9w0NNW2BzaSDw6AP6yfFZzOwOsqARya6QS5k43Am4eU0eDEV6ybDugmumOaj/MU90n5raO3uw+KPL6CwvgMTPOQQ85hWi+84PxW+Whtx5197jCyNHkaSLD35QxIOZVTDTS4An8Ow2SJJfGWGzWDK5NImLPk0/oavoRRxEOMmw/FsYjJLJ+Hh8/vDEah3ILfpN5rw+t5MUtwZ4iRBV6+RLOVrHbg2NQPeKhGm+yqxNbHcakVoGJhEs9z4PZVC/HWeL6Z4K294zHca9e092JxQih8ulaK69fr7iHKRIsZNiq4+Iw6mV1NIilLEITVXg6f91GIuFCKOXSICEOGfAjaTMjnGZzMQ7SoFn81EfXsPEoobb6n1NxQ6CQ90Oigj1T5qEdp7+imVoMFYEqpDTWs34guuE0SVmIPpviowaDSczqul7C/C2RGrow2EQJzFGLaKtDrKgPlB2lExRh0DoXO6VNhA2hIMXnAx6DREODsOGEqqyTgOgDDCPJRRhYMZ1T/LE+12EeIkQZjBEV19RvyUYF9MrhJzsGYgU8zWtC2HSccPj0Qj0kWKurYe/PdYrl2N1Wvz/TAvSINdA27dlmuZJVvuofEu8Nc62HzuGH4eTCYznvghCUezaqB14GLfMxPw9I/JVv5tf5rtgyenuNvZy+1jjCyNIkaSLMW+eQJVLd34z/JgbE0ssxrdDtI7YO/TE+w+/+3DOfjsdMFNvZaHUoialm609fSDzaTjn4sDcG+EEzp6+vH0j1cpokcLJHwWAnUONqfe/rbQHydyam8YXSITsPH7OC+sjHS6YQtwpNFvNOFoVg22XCnDuWt1FOH37AA19I48lDZ24vAgDyEGnQaliAOzmVghWXRDliBVJoNOaWENhadSiM5eI4WIqcQcxLrJkF7RgoIRbnsE6R3gKhfgUmGDVZCti0yA6tZunBpURRJxmbgnjKgieatFY1WkXwHMZjMyKlpxLKsaR7NqrAwtvVUi0mspSOdA6pwsVhyfn7F9DQlxkuD9FSFwkQtQ29aNl3ek42ROrc1to1yl+OtcX9S29eBRGzlsowU2kw7RQPusqbPX5kSxTMDG/THOuC/GAKXotx9s+0vi09P5eOdwLtgMOrY9EQulmIPxb520+l5emeeLRyaOBen+KjEappSv78nAxoslWBCsxb7USqvHn5nmgRdnett9vslkRuxbJ8iboEHKB5tJtzseP9SOIM5PhZKGDpsGhHMD1ahu6SbTtS348xwf9Pab8PGpfLsRBgBx0Vo33hVPTXWH+GfYF4wUqlu6sTO5HNuTyintAZ2Eh5n+KnCYDFwuaqCU6gVsBnhsJgAzRQPkwGMh1k2GmrZuyvZD4asRo6Shg+K9dDOQ8FnQOPCQbWfE3xbi/FTo7jNStE0yARtTfZRgMWi4kN9AqQ6FOztiVZQB8wI14LHHqki/ZpQ1dpIVp8tFjRQ9pErMwTQfFRz5LBTVd+B4dg3F7+lmIeGzwGcx0N7TT4l3uR1Eujji74sCSGNVW3h/RQgWhWiRX9uOx79PssrVs+CFOC/cG+GEgrp2/OtgNsVaxAJPpRBrx7lgYbD2jk9fjeE6zl+rx9pvL8NkBt5cGohVUQZ8cPyaTWH/g+Nc8MZC/zt+DGNkaRQxkpWlq6VNWDpMK23Hk7E39BzKr23DjP+eJf/WSXhYHKrFJ6duruI0FN4qEZaE6fDWoRyrx9Y/GIk3D2XbdXe2YEGwFn+c5T2i0St3CmazGcllzdieVI59qZUUv5soVylCDRJ09PTjSCY1BV7CZ4EGoKffRCE/TlIegvQSZFW2Ujxw7iRsWUsMhygXKVzlAjR09OJ0bq1VdWhVtAE+avFYFek3iJbOPpwa0DkNpy96Z1kQFgwQ4KSSRjz6XRLFlHUwHhznggfHuYDLYuD7S8V2rzVqMZfS9h4J8NkM8NkMNHbYriIBhBbPVyNCSQMR8mvRFHJZdMwN1GBlpAGRLmO2AHcSFc1dWPDReTR29OLeCD3evicIJjMw6Z1TNjWZY5ql3wBGkiyZzWZM+fdpm+P4DjwWkl6ZcVOtq2/PF+Hv+7Mo//tuXRTWfptgta0t7yML/jjbG23d/VatvZWRTqDRaMNqDACi6vDKPD+EOzve8JjvRnT3GXEksxrbk8pxPr+e1BTx2QzM9CNiHUobCfGzZTXOpNMg5DLBpNPR3tNH8a8J1DmgpatvWGH4nUCgzmFYDdVQDK0OjVWRfrvoN5pwsbABu5MrsSu53C6hUIo44LIY6O032SQ4AjYDXX1Gu8+XCzmYH6SBiMvERyfz7R7P/TEGLArR4fU9mXbNUAHgvRXBcFcI8cftaXZzIt9dFoQFwVq0dvfh/ePX8KMdQ83JXgosCNZipr8KRqMZu5IrsPlKKWXR5yYXYEWkE5aG6e/4hO7/Grr7jFjxxUWklrcgQCfG9ifGgcti4FRuLR5af8Xmc3w1Yhx6buIdP5YxsjSKGGnrgHeP5Nhcmc0L0uCT1WE3vZ/E4kYs+/wi5X/bnojF8iH/u1VM8VYgo6LF5ui5BToJDy/P8cH8WzSVvJtR1dKFnVcrsCOpnFLy1zvyyImZiwUNlAu5hM+CmMsCjYab8qMaCXiphCiq77DbWlkapsMfZnlDJeKOVZF+ozCbzUgrb8HulArsS6WGPHurRLg/hiDAKeXNeH1Ppl0y/8o8X9wX7Qwem4Gqli5suFCML84WjtbbsIIjnwUGnT6svYDWgYs4PxWEXCbO5NVRhmbYTDrmBWqwNtYZIU4SpJQ1Y8uVMuxNrSSrw0w6DTN8VVgR5YRJnoqxybjbwJ93puOnhFJI+KyBfD6iw/D494lkbNZQsBg0XPu/uXf8WMbI0ihipMnSX3el24wYeHdZEJZHON3Svrr7jHjmp2TKCP+f5/jgUmGDTQH3jXCjdo+Qw8TvpnrgofEuP9tU8m6F2WzG1VKiTbc/tZLyeUS7SuGrEaOjpx9Hs2pu2an4bsJYFenXj6L6DuxOrsDe1EpKC1jCZ2FeoAZLw3QIMziitq0HO65a6/VuFgI2A1N8lBCwGdiaaN+sclWUAf9cHICUsmY89l0iGmy09VzlAnz9QAS6eo340440mxojCxx4LPx9kT9KGjrx32O2DS2fne6JeyP0pJFkYV079qcRPmaDtZzBegesjXXBvCAN+k1mHEirxOYrZRTNocaBi+URTlgerv9VSAruBmy9UoY/7kgDjQZseCiKDHUva+zE1H+fthuPA4yZUv7qMZJkqayxEzPfO2vTqCvhL9OhFN/epMaOpHK8uC2V/NtHLbJZyv5qbcRtT67cF23A7+O8bNoa/FbR1WvE0SzrNt3dCot2TCfhYW9qJZ7fkmJzO4WIgz/M8sYsf/WY4PVXhtq2buxLrcLelApK3A2XRUecnxqLQ7SY6KmAGWacyK7FtsQynMmjToLOCVRjebgTol2lqGrtxgtbUuyGKk/3UWKCpxx/25dl8/E7AZ2EBzeFAPm17TeMd1KIOHDgsVDZ3EXRDsa6yXBPuB5zAtQQcJhkte27iyXYl1pJ6pZkAjZWRjnhvmhnaCU85Fa3YcuVMuxMLie94Wg0YIKHHCsjDZjhpwSHObaYsIWMihYs/Swevf0mvBjnhWemewIAKpu7sOqrS2S1nUGnWZkwsxl05P3fnDt+TGNkaRQxUmTJbDZj7bcJdsNofy7LvlkfplvFBA85XlvgB6/byJv7LaGiuQvPb06mBHb+WqBx4ELMZcFkNlNiKdgMOiZ7K7AwWIvpvsox5+27FG3dfTicUY29qZWUaUcGnYYJHnIsDtUizk8NIYeJjIoWbE8qx+6UCkoWYoSzI5ZH6DE3kHBYv1jQgN0pFTiSUX1LwwMWrH8oElO8FMisbMWzm5PtVqzuCdMjQCfG5cJGMvZoKOYGqnFPmB6TvBQoru/Ac5tThtU3PTnFHQ9PcMWZ3DrsuFqOi4UNFL3h7AA1loXpEeMmA51OQ0N7DzZfKaNkzjHoNMz0U2FtrAti3KToNZpwNJOwGRkcpisVsLE0VIcVkU63lbn5W0VTRy/mf3QeFc1dmO6jxFdrI0Cn01DZ3IWVX16itHofHOdi0/Q06ZUZkN3hxfcYWRpFjBRZii+ox+qvLtt8LMpViq2Px/7s1ziYXoWnNl392fuxYOO662XV/1V09PRjx9VybBgUtnk3IVjvACaDTsmFGwy5kI2XZnpjTgCRPVdU34H9qZXYm1pJIU48FgMz/FRYGKzFJC/52Gr6F0ZPvxFncuuwJ6USx7NrKLYdoQYJFgVrMS9IC4WIg8aOXuxOrsC2pHKK3YRKzME9YXosC9fDVS5AekULdidXYl9aJWXSU+vAxcIQHeYHaXA0sxofDiPYVoo4mOGnApNORPvYss5gM+jDBm8/NN4FTDoNp3Pr7GbKAYQ1ipdKhKSSRkq8kAUKEQfrH4yEo4CNXVfLseNqBaUdqZPwsCRUh3sG3n+/0YTj2TXYGF9CMUn0VomwdpwzFofoIOAwUdrQiW1JZdiaWEbxKgt3dsSKSKf/+Ugfo8mMhzZcwdm8OjjL+Nj79AQ48FioaO7CqiFESSHi4JV5vnhucwplH3w2A6mvzwTrDnvxjZGlUcRIkaXi+g5M+fdpm4+9EOeFZwdKmLeLjIoWrNtwxab77e0g+dU4SoTC/xrKGjuxMb4YWxLLSHsBEYeJEIME/UYzkkqb7E4ZjjRm+atQXN9JCU8dDFuO4iwGjZwSmuFLhKvmVLdiX2ol9qVWUS5wIi4Ts/3VWBiiRayb7Bc3F/1fgclkRkJxI/akVOBgejVFE+emEGBxiA6LQrRwlhE3/jN5ddiWWI4TOde9kyzhysvD9ZjoqUBZYyf2pFRiT2oFpfoj4bMwN1CDxSE60GnA6q8v2zyf1WIuHp3khsTiRhzKsF0Z8laJ8NgkN8T5q5Ba1ozNV8pwIM2+bYGbXIBFITo4Clj47HSB3dbbi3FeWBKmg96Rj95+E3ZeLbcbtPtCnBcemeiK7Ko27LhqbQsSZpDgnnA95gcRXkt5NW3YGF+MnVcrSFmEiMvE8nAnrIl1JsnV2Wt12JxQhhM5tWQrSchhYkGwFisjnRCkd/jNDLncDPqMJvxjfxa+u1gCLouOnU+Oh59WjPKmTqz66hLKGrsobbd3lgXhj9vTrPYz2UuBjeui7vjxjZGlUcRIapaWfx5vs43z2X1hmBOoue39nsqtxdObrg4bAns7OPL8pFHJdLtbYDabcbmoEd+eL8Lx7Bqy3eEi48NZJkBLVx9ShkRG0GmAGfZz9H4JsBl0TPVRIMzgiI5eI45mVlOIE5dFx3Rfooo0xVsBNoOO1PIW7EutxP60SspqWiZgY26gBgtDtAg3OFJS78fw82E2m5Fd1YY9KYRQezBxUIo4WBisxeJQHfy1YtBoNOTXtmFbYjl2JldQqkMBOjGWhzthUYgWfUYz9qdVYncKNayZw6Qjzk+FRSE6RDg74pU9GXZJzd8X+WNVlAEX8uuxJ6USRzKrb9lcNVDngJVRTojzU+FqSRMOpFfbNOMFCMKlcuCi32hCUkkTpZIW5SrF0lAd5gZpIOayUNbYiad/SrYZ3+Is4+Oz+8LhphDgWFYNdlwtx9lBmi32wGewLFyPiR5ydPQasSOpHN9dLEbxoInWKd4KPBDrgsleCtDpNNS2dWNHUgW2XCmlbOejFmFlpBMWh+og4f+2F5clDR14dnMK+bm/tyIYS0L1KG/qxMovL6G8qQvOMj7EXBbSK1oQ4yaFkyMf25KshwJenuODJyaPxZ38KjEaDt6/+/GqzYvToxNd8dd5fre1zx8vl+LVPRlWArrbQbSr1Ero+ehEVzw/wwuC33Aid3efEXtTK7H+QjGljRHu7AgHHguFde2UC6QtuCsE4DAZw2otbhc3amsAxI0p3NkRF/LrKa0NIYeJmf4q+GnEaOzoxcH0Ksp7sVSRFgRrMc5dBjqNhoTiRuxLrcTB9CpK+0PrwMX8YC0WBGkRoBP/T62o7zTKGjuxN7USe1IqKP4/Ig4TcwLVWByiQ7SbDAw6Da3dfdiXWoltieUUsi4VsLE4RIflEcT01tHMauxOIXRNlusBnQaM95BjcYgOswLUOJ5VY1f4P9FTjvdXhKCsqQu7kyuwP62SYiFikPKxOESLRaE6iLhMvLg11a4G8/kZnnhqigfYTDqK6zuwM7kCu5LLKVmEg6EWc7E8Qo97I5wg4bNwKKMau65W4FLRdT0Sm0lHnK8KS0J1mOytgNkM/Hi5BG/YEZ//eY4P1sa6oK27D7tTKrAjqYJSjVWIOESbLkwPT6UQZ6/V4buLJTiVW0u+prOMjzUxzlge4QQHHotcUG25UoaD6VUkqWMz6bgnTI/fTXUnJ/N+S9idXIFXdmegvacfYi4Tb98ThDmBGpQ1EhWl8qYuuMj4eHSSG/66KwNMOg33RjrZ9cLa87vxCHaS3PHjHCNLo4iRrCwt+yweiTa0JTwWA9n/mH1L+zKZzHj3aK7drDg+m3HLK0GAqDrIhRyrcNa/zPXBmhiX39SYeU1rN364VIIfL5eSY85cFp0QhtJoSCxuHDbagcOkw1cjRmVz1x1rfwLA2lhnGKR8/JhQeluj3nF+KugkPBzLqqG451qqRG4KASqaurA/rYpiSCgXEo8vCCaqSEazGRfy67EvtQpHM6lCYFe5AAuCiG3HhK83h8aOXhxIr8Ke5ArKdYDNoGOajxKLQ7WY4q0El8WAyWTGxcIGbEssw6Eh2YVTvRVYFu6ESV5yxOcTQu3j2TUUg9RgJ0LXND9Yg95+Ex7ZmGjX7HHjuigYpHybNgRSARsLgjRYFKpDqJMEpY2d2HKlDNuSyimVrZuFgM3AnEANlobq4ChgY1tiOXYll1NI+QQPOe6NdMJMPxWhx0qpwK6rFZRFgEzAxoJgLZaE6hCkd0B+bTue2nTVpgbKVyPGeyuC4a0SIbOyFduTyrE3tZLiWB6gE+OeMD0WBmvR1t2PHy6VYGtiGfn757EYWByqwwPjnOGjJu4LLZ192JNagZ8SyshFFpNOw/IIPZ6a4vGbsB9o7+nHa7szsDO5AgCRDvDeyhDoJDyUNRIVpYrmLrjKBdjwUCTu/+Yyyhq74K8VD2sLkf9/c0akvT9GlkYRI0WW+o0meL962G4FqOBfc2/aEK2n34iXtqXZLWk7y/g/2yRRwGbYbOu9scAPq6INv2oBcEpZM9ZfKMKBtCrSB0TrwEWAzgGdvUZcLGwYtlKnk/AgF3HsprjzWAxwWHTKNJJMwLbpO2PB5IHJouEM+IYi0sURLAYd8QUNdrdZFUW4sR/JqKa8vk7Cw/xgDXQSHvJq2nAwvZpy87BUkRYGa+GvFaOn34TTuXXYl1aJE0NuzD5qERYMVJwGJ96PAejs7cexrBrsSanE2bw68nyj0Yhxd0vFx2LhUNbYiW1J5diRVE4hup5KIZZH6LE4RIeSxk7sTq7AgfQqyjnmKhdgUYgWi0J0MEj5+OB4nl2x9oPjXPDYJDccGahGDT6XeSwGZvqrsDhEhwmechhNZhzJrMbmhDKKMFomYGNZuB73RjrBXSFET78Rn5zMt/uaOgkPn9wXhpAhFYWefiOOkYHX1ytVEj4LSwYm0SxEZ+fVCuxNraBUvNwUAiwN1WFxqA4yAQfr44vwzuFcm8fw+gI/rIw0gEGn4XRuLXZcLbdy6J/qo8SqKCdEu8qwJ6US310sphDNaFcpHhjngpl+KjAZdJjNZlwpbsIHJ/JwIb+B3M89YXo8Pe3XS5pSy5rx3OZkFDd0gk4jPK2enuoBJoNuRZR+ejQGPyWU4oMT12zua+jifSQ8loAxsjSqGMnK0qu7M+wGR/74aDTGuctvuI/mzl489n0SEooawaTTrEy/5gdpsH9Iq++56Z52T+LbgcaBi2emeWJ5hP6OTzOMFPqMJhzOqMb6C0WUsOAQJwk0DlyUNXVS3H+HgkYDArQO6OztR4Gdao/WgYumzj5SMCpgM+AiF4DJoCOnqnXYIOIbIdpVijg/FQDgeHYNLhVeb5eyGXSM85Chrq3H7mpOxGHi/lhn1LR040hmNYUIe6mEmBuogVzIQXJps1UVyU0uwMKBm7CrXID2nn6cyK7BvtRKnMmro7iHhzhJsCBYi/lBGqhu0zfs144+ownn8+uxJ7kCR7NqKDeJAJ0Yi4J1WBCshdqB+HxqW7txKKMaB9KqkFB8/XsVcZlYGKzF8ggn8FgM7E6pwN6USgqJUog4WBCkxeJQLQJ1DjidV4eHN1yxGVOik/Dw6X1hKKxvx+7kSpwf1K4bbEMw04/wKsqtbsNPCaXYlVxBis1pNILYr4x0wjQfFVgMGq6WNmNXcjn2pVbdlFGrr0aMxSFaLAzRQuPAozxmIYvbEsso+q1gJwlWRjphQbAWXCYd5/LrsetqBY5mVVOI+2B9U1FdB57adNVmNlmEsyP+b0kgvNUiNHb0Yl9qJXZcLUfaIO8qL5UQj01yx8JgLZJLm7DxYjGOZNaQn5nGgYv7og1YGWUg/ecSixvxwYlrJOlj0mlYGqbD01M9fzULCZPJjK/OFeLdI7noN5mhk/Dw/soQRLoQuaWlDUTrraK5C25yAX56LAbdfUbEvXfW7tDLDF8VjmcT5sluCgFOvjhlRI59jCyNIkaSLHX1GjH/o3M2b7YrIpzw9rKgYZ9f2tCJBzckoLCuA1wWnXKRAICPV4fi6R+TKf/7bl0U/rQjzWrihEmnYfuT4/D63ky7FZIbwUnKw7PTPLEkVHfXTkw1dfTix4RS/HCphPwMWAwaJnoqwGXRcbWkedjwTwGbAVeFAHk17TYvBGwmHUoRtW0pE7Ah5rHQ02ckfV0A4iaxOtqAxSFaiLgsVLd047HvEykX6MGYF6RBQ3sPhRhxmHTM9Fcjxk2Kpo5e7EutougwxFwmYtxkyKxstXmTAAA/jRjzgjRIK2/GqZw6ih4q1CDBbH/iZnmxoMFqbD1Y74BFITrMD9ZAKeKiubMXRzKrsS+1CvEF1z2AaDSC4C0I1mJOgAbS3/hkpcX5fU9KBQ6kVVGqeAYpf6Dio4WHkmhZkgQpvQpXihtJjQyNBox3l2N5hB6BOgccyazBnpQKSmVDyGFilr8ai0O1GOcuR0ZFC17YmmKXxL++wA/OMj52J1fiWFYNxRQ32EmCJSHXbQg6evqxL5Vwtx6sj9I6cHFvpBOWRzhBJ+GhtKETuwZ0SIM1cCoxB4tDdFgSpiPbVd19RpzIrsWu5AqcybtexbGcI0tCdZgdoKEYpBpNZpy9VoctCWU4nn09nofPZmB+kAYrIp0QZnBEe08/DmdUY1dyBcVvabC+KczZEd+cL7QbAPzPxQFYFq4Hl8VAXk0btiWWYXNCGblg0Dhw8fAEV6yMMqCtuw8/Xi7FTwmlZHWLzaBjfpAGa8e5kFWzpJJGvH/8Omli0GlYGqrD09M84CwT2DyOuwG1rd14cdt1LdrcQDXeXBIEBz7x3ZQ2dGLllxdR2dJNEqXGjl48+l2ilXTDAhoN0DrwyOvR3qfHI0gvGZHjHyNLo4iRjjtJK2/Gwo8vWP1fxGXiyl9n2I0RSSlrxiMbr9jNbNv39AQs+Pg8+TebScejE13x2ekCu2GYOgkPf5ztjbq2HvznaJ5NZ/GbgZtcgOdmeGJ+kPauyVbKrW7D+gtF2JVcQd7s5UI2Ytxk6O0nRoKHks3BELAZ4HOYdnUZBikfXX1GyuNiLhNsJgOt3X0kseKxGFgQrMHqaGcE6x0AAMllzfjxcin2p1UOewwAMYkX6y4Hgw5cLGig3BDlQjYWBuvgqxHhWm079qZUUoifTsJDgE6M89fq7U5KxvmpEO7siPPX6ilkxyIMnu6jBJ1Ow4nsWkolwvL4wmAtZgeoIeKyUNvWjUPphHniYN8nJp2GCZ5yLAgiwk1F3N+Oa3h+bRt2JxOj+YPFyzIBG/MHaX1oNJpdggQQJHVeoAbjPeRILm3G7pQKJAwatmAxaJjircTiEB2m+ypxraYdf9iealeHNMlLgQdinXEmrw7706ooLdbB7TpXuQC9/SZcyK/H/rQqHM6oIs8VJp2GOD8VVkQ6YaKnAu3d/TiQXoWdV8spmis+m4HZ/mosCdNhnLt82GtAU0cvDmZUYU9yJaWKxmbSMc2b0G1N9aG6Zte19WBXcjk2XymjaPg8lEKsjHTCklAdZEIOKpu7bOqbLLqr5RFOaOvux5ObkijtSwsmesrx6nzCgLd1gBR9e76I1COKuUysiXXGg+NcIeYxcTC9ChviSyiLzWC9Ax4YR8SqcJgMJJU04cMT13Amj4ifYtBpWByiwzPTPOAiv7tI06mcWry0LRUNHb3gsuh4Y4E/VgyEqgPENNyqLy8RREkhwOZHY5Bc1ozfb0mxqY+d4q3AaRuxW7ciOblV/GbJ0ieffIJ3330X1dXVCA4OxkcffYSoKPveC9u2bcOrr76K4uJieHp64u2338bcudfD+MxmM15//XV89dVXaG5uxvjx4/HZZ5/B0/PmPYx+KbIEAJ/fH4bZAdYWAkczq/Hs5mS7N9ZNj0Tjvq+phpdhBgml3QQQVYkPV4Wip9+Etw5mk1WPcGdHrBvvis1XSu1Ot9wMvFRC/H6GF2b5q3+REXOz2YwL+Q347Ew+qR0AiEqKh1KIurYeiubiduCtEqGsqZNycWDSaWDQaZQKjI9ahPuiDVgUqoOYyyImcpIrsOlyKeUG56MWEdWmge1MJjOuFDdie1I5DqRXka9DowHj3GXwVonR2Utk0w2+AXqphFgUooPGgYtLhQ04lE5tpflrxVCIODYvXhY8OM4FSjEHRzNrKFUFy41svKccXb3ESn7wucVh0jHDV4WFIYQVAYfJQHlTJw4MZHQNbg1a9rUgWItpPspf5cBAdUs39qZWYE8K9b3x2QzM8ldjUYgWEzzkYDLoqG3rxuGMauxPs0+QpvookV3Vij0plTidW0tpa0a7SrEoRIe5gWqUN3XhpW32CZLekYc/zfbBtZo27E6ppHhnyYVszA8ibAiC9Q7oNxHi/QNpVTiSWU0ZZHCTC7Ai0glLw/Rw4LFwJq8Ou5LLcTyrlqxCWiJBloTqMGugEnmrKG8a8IAaOhHIZWJeoAaLQnSIdpWS1xKz2YzEkiZsTijDgfTrCw0Ww0LqDJjgIQedBrv6pmhXKR6Z6IZgJwd8eqrAprM0ALy1NBCLQ3Wg0YhJsC/OFpJEjc2kY1m4Ho9OdIOrXICUsmZ8d7EY+1Or7MaqJJc24YMT18jfH50GLA7V4ZlpnnD9hUlTT78Rbx3KwfoLxQCICvhHq0LIKihAEKWVX15CVUs33BWERmnzlTK7mX0/PByNhzYkWAV8z/BV4esHIkbsvfwmydKWLVuwdu1afP7554iOjsb777+Pbdu2ITc3F0ql0mr7+Ph4TJo0CW+++Sbmz5+PH3/8EW+//TauXr2KgIAAAMDbb7+NN998Exs3boSrqyteffVVpKenIysrC1zuzeknRposfXTiGv5j5wSbE6DGZ/eHU/63/kIR/r4/y6aPj0rMwROT3a1ym2wF4oq5THzzYCTZd+7qNeKrc4X47HQBWVFaGqaDh1KId4/k/izfID+NGC/EeWG6r3LUxsvjC+rx3rE80seKPqCtkPDZSK9oIUM1aTSAy2Sg32Sy+iHbg7OMDzaDPqzbMEBM0i0I0mJVtIGsJqSVE1WkPSmV5OfMYdIxP0iL1dEGhBkkdj+jjp5+HMqoxvakMkorTsRhYlaAGkoRByUNnTiWXUNWsiykam6gBiw6HUezanA6t5ZsY9BphK7DZAalcjEUL830Qr/JjP1pVZRAUksLKNQgQX17D/alVlKqXWIuE3OH3OgK6tqxP7UKe1MrKNsK2AzE+amwIJjIM2Mz785WLgC0dPXhcEYVdidXUsbZmXTC7HNRqA4zBiJjLATJokEa/FsKcZJgfpAGs/zVKG7owO5kwsOofdDv1UctwuJQHRYGa9HU2YuXtqVRLC0GQyHi4K9zfVHf3oM9KZVIr7je0h1K3gAgvqCBIEhZ1ZTqikLEwdwANeYHaxHh7IjU8hbsukpMjQ2eVPNWibA0TIdFITpSc/VzYfGasmiyBldHNQ5cLAzRYnGIDr6a69dji53ClitllDa2TsLD8gg92S7sN5pwLr8eO5LKcTijmvwduMoFWDfBFUtDdbhc1IAnvr9q055jpp8KL83yhodCiGPZNfj8TAHpWk6jAbP91XhisjuCnYjfw5YrZZSW/9BYldTyFnxwPI8MOqfTgMUhRHvOTSG8I5/nrSC/th3P/pRMWp48OM4FL8/xoXQ4iusJolTd2g0PpRDfPhCJtw/n4EA6oY2NdHGk+Af+8HA04gvq8amNSe1X5/vh4QmuI/Z+fpNkKTo6GpGRkfj4448BACaTCU5OTnjmmWfw8ssvW22/YsUKdHR0YP/+/eT/YmJiEBISgs8//xxmsxlarRYvvvgiXnrpJQBAS0sLVCoVNmzYgJUrV97UcY00Wbrns3gklTRhuo8SJ3JqKY+xmXQkvjIDYi4LRpMZ/3cgG99eKAJA+OgMvhDqJDyEGiRWYm4LBk+zaRy42Lguyma+W3VLN945koOdV4nRUB6LgRWRTqho7sKxrJqf9V6DnSR4Mc4LEz3lI0aaLhU24L1jeaQ/FJtJx3QfJdhMOs7k1ZE3BA6TDj6bgd5+002bdwbrHVDT2jOspgkgbiCW6pADj4WOnn7sSanEjwklFNG4h1KI1VEG3BOmJzUAN4uyxk4yOX6wNsBVLsBMPxU4LAYuFTRQWhs8FgOz/FWY6qNEcydxcxncPuGy6BjvLkdFc5fdaoVazMXvpnmgvKkT+1OrKDooi9WAp1KI0sZO7EulWhGoxcSNzjJRBwDZVW3Yl1aJfamVlPfhwGNhTgDh9xQz4C/0S6O7z4hTObXYnVJhpe2KdHEcqPgQeqzatm4cGagg2SJI8wI1mBOoRkM7MQq/L7WKMvmok/BIUmAym/HStlS7Yn25kIN/Lg5AW3efzby4yV4KLArRIs5PBTaDjstFjWSLbTDxkQvZmBOgwbwgDSJdpKhqIfyVdl6toET7KEQcLArWYkmYDn6akfXXMprMuFzUgD3JhM/X4EWft0qERaFaLAvXQym6TtQyK1uw9UoZdiVXkBUyGg2Y6EkI0Wf4qsBm0lHV0oWN8SX48XIJuZ2Ez8L90c5YG+uMPpMZHx6/hi2JZTaP7d1lQVgQrEVaeQu+OFNAuX7HuEnxxGR3TPZSwGgy41hWDTZeLKYscgbHquTXtuPDE9fIfdBpwMJgLZ6e5gkP5ciTJrPZjK2JZXhjbxa6+oyQCtj49/IgTPNRUbYrqidabxai9J/lwfjzznRkVbWCxaDh+RleePfI9cnDfy0JxAxfJeLeO0uK/Qc7eh98diL8tHf+vmrBiJGlDz/8EMuWLYNWq/3ZB3kr6O3tBZ/Px/bt27F48WLy/w888ACam5uxZ88eq+cYDAa88MILeP7558n/vf7669i9ezdSU1NRWFgId3d3JCcnIyQkhNxm8uTJCAkJwQcffGDzWHp6etDTc/2i1draCicnpxEhS82dvQj7xzGYzMCpl6Zgqo34k3fuIX6Qz29JxpFMgqz8abYP4gvqyRYZl0UHn82ktGEsoNOASBcp0ita0NlrhJdKiI3roqymToYipawZ/9ifRWpNdBIeIl0csTvFtj3BjUCjXXe1jnRxxAtx3oh1l93WvmzhSnEj3juWR47Nsxl0+GrF4DKJnDTLCtKRzwKHyUB7Tz9l9W4PTlIeFEIOsqpah9UT2aoOZVS04MeEUuxJriAJGZtJx9wANVZHOyPSxfFn32gskRjbk8pxcEibboKHHDFuMrIiNdgvRyniYHEo4dycW92GXSnU+AupgI0oFylSy5vtxk/EuEmxPNwJyWVNVlYDekce5gVpoHXgIbuqFQfTqyitHQ+lEIuCB8baZXyYzWYklzVjb0olDqRXUbRfciEH84M0WBCsQZjh539mtwKjyYxLhQ3YnVyBw0NCZi2tzoXBWjhJ+SRBOpBehctFVIIU7CTB/AGC1Gc0Y08K0bYb/J1I+CzMC9RgcagOQg4Tf9yeRlkQDYZMwMa/lwfDaDLb9FUKM0iwOFSHeYEaSPhsXC4iKkiHh1hGyARszA5QY16QBtGuMnT09uNQehV2XKVqpLgsOmb5q7EkVEe2FEcb9sgqi0HD/CAtHhrvQhEKd/cZbVocDA3D7ejpx7bEMnx7oZhsVbIYNCwM1uGRia7wUApxOKMaz/xEHZaxYEGwFs9O84DJDHx5thB7UirI642PWoQnJrtjXpAGLAYdudVt2HixGLtsxKo8NN4FTZ29+PDENRzPJkgTbYA0PTPNg9IGu5No6erDX3amk5WhCR5y/PfeYCiHTK8W1Xdg5ZcXUdPaA0+lEC/O9MJfd2WgoaMXMgEbH60KxepB8o/7Ywx4fJI77v/mMsW6Zk6AGocyqiHhs3D1lbgRlWiMGFmi0+lwdXXF6dOn4eTkRP6/t7cX6enpCA8PH+bZt4/KykrodDrEx8cjNvZ6gOwf//hHnDlzBpcvWwfOstlsbNy4EatWrSL/9+mnn+Jvf/sbampqEB8fj/Hjx6OyshIazXXdz7333gsajYYtW7bYPJY33ngDf/vb36z+PxJk6UBaFX7341VydNLl5QNW2/ioReCyGEgpawabQce/7w2GxoGL5Z9fvOH+NQ5czPJX48eEUvT2mxDp4oiv10bedBXDbDZjX1oVRc/koxbBZDZTNAU3AyGHCWcZH9dqr0+RjXOX4cWZXgh3lt7SvgYjqaQJ7x/PI4kjjQY48tngMumUyTODlA86Daht67kpc84IZ0d09hpv6MDtpSKqQ0tCiepQZ28/9qdWYVNCKUXo6SYXYHU0UUUaqYy9jp5+HEyvwvakcorzuojDxPxgDdwVQpQ0dGJfWiWl5eKjJlopbnIh4gsasDe1klLlcJHx4a0W4XRunV27g5WRToh1l+F0bh2ODrEi8FaJBkTfTFwtbcLx7FrKJGGoQYLFITrMCyLsCizVhH2plTiUQW0PWfygFgZrR6yqYTabkVHROlDxqaQYjGoduFgwqA1U19aDw5nVOJBWiYSiRsrwRLCTBPMC1ZgToAGHRcf+1CrsSalA6qA2EZdFR5yfGotDtFCJufjzznS7BEkqYOO9FSHgsxk2fZUG58XpHfm4UtyIA2lVOJRRRdHpOPJZmB2gwfwgDaJdpTADOHetDjuuVuB41vVpR4v305JQHeYEaiC8i1z7Wzr7cDCjClsTyyjhvWEGCR4c74o5AWqKjUlJQwe2JpZhW2I55fu0hOHOC9SAy2LgWFY1vj5XRKm4TvCQ4+GJrpjsqUBRQwfeO5Znt4L/33uDEWpwxKZLJfgpoZT8HegkvIEJOifw2Uy0dPVhe1I5vh8Uq8Ji0LA21gXPTPNAeVMXPjhxjazm02jA/CCClN1J09fE4kY8tzkFFc1dYNJpeGmWNx6b6GZFYI5l1eAvu9JR19ZDLhLeP56HPqMZfhoxvnogAr/fnEJWsv00Yry/MgRrvrlMiUsKNUgwzVuJ/xzLwyx/Fb5YM3J6JWCEydKjjz6KY8eO4cyZMyRhqqmpgVarhdF4Z7PGLLibyNJoVpYOZ1TjiR+SwKDT8NOjMbj3C/sEyIHHwldrIxDp4gjXPx+84b5n+6vhrxXjv8fzYDYTYasfrAy1O103HLr7jPjqbCE+HaRnMkj5FMHozWK6jxJiHgv70ypJjdAUbwVeiPO6pfHRlLJmvHcsj5wqsQUWgwZPpQhGkxkFde1WHlRDIeGzEKAl3H+Ha7VxmHTMC9LgvmgDWenIqW7Fj5dLsetqBVl9YDFomOWvxupoA2LdZKNaESltuN6mG9wqs3gkSQVsxOc3UEJX6TRggqcCi4K1EHAYOJJZg8MZ1Vaj5Y581rDC8JdmekEr4eFwRjVO51LbVWEGCab7qsCg03Ahv96qZTTBQ45FIVrM9FdDyGGSk1l7UyutSJibQoAFQYQ/j/sd0HeUNHRgT0oldg+psjnwLCGzWkS6SNHQ0YvDmdU4mFaFy0UNdgmShM/C0cwa7E6poLxPy+e8OEQLV7kAb+zNpBCowZDwWfhgZSi0DlzsHqhGDW5XKix5cSFEXlxiSRMOpFXiYEY1pTon4bMw25+oIMW4ycCk05BR0UqGzA6uNnkohVgapsPiEB20kuEr0HcDUsuasSG+mHJNUYk5WBPjjFVRBsgGPI8Awgz4dG4dNl8pw6nc62G4AjYDC0O0WBFpQLDeASllzfj6fBEOpVeR35uHUohHJrhicagOALA3pRJ/3GEdCgsAy8L1WBVlwKXCBqy/UESSVQmfhbUxznhgnAtkQg5MJjPOXKvDN+eKcD6fWPCJuUw8O90Ta2Kdca2GaM8dHUSa5gVq8Ox0T5syipuF0WTGJ6fy8f7xPJjMhA7zg5WhVgahlc1deGNvJvn67goB/LQOpAHy3EA1/r08GJ+fKcSHg7z7tj0Ri8e+S6S0edlMOg4+OwF/2ZWBhKJGvLHADw+OHzm9EjCCZInBYKCqqgofffQRNm3aRBKmmpoaaDQamEwjk6p+N7XhhmIkNUtmsxnPb0nBnpRKKEScYeMCTrw4Ge4KId48mI0vzhYOu99/LQlEeVMnKai7L9qAvy8K+Nm6j6F6psG951uBXMjB8gg9alq6sSe1ktxHnJ8KL8R5UYSbQ5FWTpCkU8PcrKUCNlxkfHT2Gu1qbwYjykUKFpOGK8VNdk3UgOsao6VhREhmd58RB9Kq8GNCKWU03iDlY3W0AcvC9aQ53S8Fk4nIrtqWVIZD6deJj+WGHeenQl+/CQfSqyjvQcBmYHaABrMD1KQW5tw1qmnhOHcZunqNNiN7LHhnWRCMJiLINb7guhDaYjUQ6y5Dv9GME9k1VhWXGb6Ea/QkL0Ls3d1nxMmcWuxLrcSJHGp1yk8jJlzDgzW3lMVV19aDAwMhsylDQmZn+BGvP9lLQQi67REkvQPmBWkwJ4Aw3jyTV0e0xrKonlQhThIsDtHCRyPGW4dyrEKYLRBzmfhwVSh81GLsSyXI22C9kuW7WRxK6LlSy5qxf6CCNHgVL+YyB1psRM4fi0Enx+l3Xq2gCPVlAjYWhmixNFT/q835q23rxqZLpdh0uZSsjLKZdCwK1uLB8S7w1zpQt2/txvar5dhypYzSJvJRi7BiwIKgrbsfG+OLsflKGdm2lwnYuD/GGWtinSEXcpBR0YL/HsvDySGaU4Coyn5yXxhSyprx1dlCsorEYdJxb4QTHp3oRppTnsmrw5sHs8lrlpOUmGacF6hBVlUrPjqRj8OZ1QAI0jQ3UINnp3necrh5ZXMXnt+SQrZZl4Tq8PdF/hQLj36jCRvii/HesTx09BoHYluckFfTRl4nXojzwjPTPHA6tw4PbbhCPvfT+8Lwx+1paO/ph0rMIc/Jl+f4wGgy490juaDRgJMvThnxyb8RJ0tKpRKvvfYafvjhB5w5cwZsNntEK0sAIfCOiorCRx99BIAQeBsMBjz99NN2Bd6dnZ3Yt28f+b9x48YhKCiIIvB+6aWX8OKLLwIgPjilUnlXCbw7e/ux5JN4ipGgLVz88zS0dPVh9vvnht3u8PMT8c25IjLZ+cU4Lzw9zeOOXvxSy5rx90F6ptuFSszBnAANOS1kuQHNC9Lg9zM8KT36jIoWvH88j+zl24K7QgCVmIua1m67hnyDMcNXiZrWHrttD4DQPs0L0mB1tAERzo5k0vumy6XYefW6k7HFg2Z1tAHj3eW/iFXCjdDe04+DaUSbbrDw24HHwsJgLaJcpbhW224VcKpx4GJRiA6TvOTIrW7D7mRqK0nAZmCchxzlTV12p7RcZHy8Ms8PJQOBsalDrAim+ygR4iRBa3cfDqZXW2l55gZqsCiYqOzQ6TS0dffheHYN9qYQJG5w1TDMIMHCYC3mBmkowl8LalsJ1/KD6dUU4jM4ZHamvwo9/SZyis0WQZobqMHcQA2UYg7i8xtwOKPaaqrMTS7AohAdAvVifHQyn9IyGgzRAEEKd3bE4Yxq7EmpoJBLJp2GKd4KLBrwVcquasOBtCocTKeK6EVcYjpxXpAG493lYDPpaO8hdEg7bQTRzvRTYWmYDhM9Fb8a9/0boaffiIPpVVh/oZgyGRflIsVD410QNxBLYoHZbMalwkZsTbQOw53lr8bKSCcE6BywLbEM6y8Uk5VaNpOOpaE6PDzBFZ4DXkw7k8ptBvnyWAwceHYCcqrb8PmZAvK46AOk54nJ7gjQOcBoMmNHUjn+fTSXbBeGGiR4ZZ4vwp2lyK5qxYcnruFQRjW577mBajw73ZM0/RwOhzOq8Kcd6Wjp6oOAzcA/lwRgSaiesk1qWTP+siudJOjhzo54aLwL3j2Si5KGTvDZDPz33hDM8ldhy5UyvLwznXzuX+f64t9Hc9HTb0KMmxRmM3C5qBHBegc8ON4Fv9+SCgCjUlUCRrgNV11dTY7qv/766/j++++xefNmxMbGjihZ2rJlCx544AF88cUXiIqKwvvvv4+tW7ciJycHKpUKa9euhU6nw5tvvgmAsA6YPHky3nrrLcybNw+bN2/Gv/71LyvrgLfeeotiHZCWlnZXWQcAQGFdOxZ9fMFqvP9WkfCX6Xh5ZzpO5tSCTiMqTCujDHfoKKkwm4kx8rcO5dh1hr5ZyIVsTPNRor69l1yd0WnAohAdZvqpsGsgJsIeol2lEHCYyKlqpeiUbCFI7wCNAxfJpc3Dht068llYE+OMNbEuUIg46Ok34nBGNTZdKqUQDb0jD6uiDFgeobd5Y75bUVzfgR1XicyxwZ+Zt0qEZeFEav2ZvDocSKukCLMDdGIsDdUjUO+Ac9fqsTu5gtKO1Ul4iHaTIqW0mTJBNRjTfJR4ZKIrEoubsCeFah/gyCeIm5dahILaDuxPG14zBBDGhocyqrEvlTrGTx+YgFoWrkeAzgEnc2pxOKMKiSVNVPH1IBdyOo2GwxnVOJhehUuFVIIUpHfAvAGCJBOycSa3DocyqnEyp5YyLGBpjQXpHbAxvtjK38wCEYcgSJGuUpzOrcXB9CorPVeEsyMWhxJTdiUNHSRBGvydiThMxPmrMD+IMLHkMBnoH4hY2WkjAiTaVYqlYYQOSfwbMgQdCouL+ob4YhxKp+Y+rol1waooJ0j4VP2gJQx3c0IZRa/oJOVhRYQTFofqkFzajK/PFVIWDFO8FXhkghvGexBDK4klTfjrrnQrbadOwsPWJ2JR2tCJz88UUGQEEzzkeHyyGyZ4yNE5YOXyxZlCsho8N1CNP832gbNMgJxqgjQdTL9OmuYEEKTJVmW+uqUb/z2Wi62JxCI6WO+AD1aGUowwW7v78J8jufjuUgnMZqIy+ee5vlAIOXh+Swrae/qhk/Dw9QMRUIo4+PPOdMp1eWmYDntTKtFvMmOGrxLTfFT4y650sBl0vLbAD3/fl4VeowkPT3DFq/P9bvJb/HkYMbL05ptv4tlnn4VAcP0DfP311/H555+jvr5+RMkSAHz88cekKWVISAg+/PBDREdHAwCmTJkCFxcXbNiwgdx+27ZteOWVV0hTynfeecemKeWXX36J5uZmTJgwAZ9++im8vLxu+phGgywBwJHMajz+fdJtP//AsxPw110ZSClrBodJxyerwzDDT3XjJ/5M2NIz3S4c+SyM95CjsaN32DBYgFipTfKSw2wGLhY2oK17eKI5N1CNrl4jzufXD+un5KYQ4JEJblgapgOXxUBhXTt+SijF9qTrSegMOg3TfJS4L9qAiZ6Ku2Ks/XZhNJkRX1CPbYnlOJxZTd6oLQGiC4O1MIPQZwz2Z7KMpC8O1UEuYONAOmE4Ofh7iHB2hKdKhKOZ1XZDgx+Z4IoZfiqczKnF7uQKCjHyVAqxOJQw1rxY0GA1jeatEpFWBJZw0prWbtL80l6bCyBW63MCCG0Rn80YEGnbJkhzAzWYN0AsTuQQOq4zeVSxu1LEwSx/NXw0ImxPKrdbQRKwGfhodShCnBxxPLsGRzKqcS6/nkKQPJRCLBnwVWrs6MWB9CocSKPaNFg8qeYFaTHJiyBIJpMZSaVNpGv6YJG+JVx2UYjuVxvk+nNQ3dKNHy6V4MeEUnJqk8uiY0moDg+Mc7FZlcmoaMHmK6XYk1xJnnd0GjDNR4XfTXVHv8mMr88V4mhWDUm+fdQiPDLRDQuCCcfuhvYevLgt1UrjF6hzwNcPRKCxoxdfnCnAvrQqssXtrxXj8cnumBugRmNHL/57LA9bE8tgMhM6yDUxLnh2ugckfDZyq9vw4clrOJheRR7DLH8Vnp3uCX+tA2rbuvHZ6QJsulxKnmNPTHbHC3FepI+Z2WzGwfRq/G1fJvn7WxKqw1/m+mJ7UjneOZIDs5nwY/vsvjCkVbTgofVXKO8nxEmC1PJmmM3A4hAt/jDbB3PeP4vW7n4sDdPhRHYt0RnxV+PT+8JGrfI+6j5L//znP/Hvf/8bzc3Nd2J3vyqMFlkCYHMa7mbwn+XB+ORUPgrrOyDhs/DNAxE/a8LsdlDT2o13Dudix9XyEX0dSzxAa3eflbvxUDDpNCwI1qKgrt1u3poFsW4yPDrJFVO8lOg3mXE0i6giDR451jhwsTLSgBWRTnfMgO9uQksX4b20Lamc0iaTCdhYHHo9VmNncgXlcRGHMJ6cG6RBS1cfdl4tx9m8OpJ0WCa+xFwmNl0utfv6f1voD62ER4q5LWTEUiGaPzB+fXigmjNYOB7h7IhFoTr4aUS4VNiIg+lVdn2JeCwGVkUZIOAwcLW0CRcLqAQpUEdokOYGaMBjM3AsqwaHM6sRn09t9zlJeZgToIGPWoQfL5fa1W7xWAx8tCoU/joxjg6I5hOKGyl6P1e5ADP9VVgQpIXZDIIgpVdS2qF8NgMzfFWYF6TBZC8FuCwG+owmXCokiOTRrBqK7tFSpVsSpkew3uFXqUO60+juM2JfaiXWXyimVI7Gucvw4DgXcvhgMLp6ibbelitllKryRE85npvuCYWIg2/PF2FrYjm5YFSKOHhgnAtWRxngKGCjob0H6zZcsRLyT/SU470VIejuM+Kb80XYnFBG7sNJysOjE92wPNwJJY0dePNgDlmJGiwC5zCJDLsPT1zDgUGkaSgiXRzxh1k+iHK9fm8oa+zEa3sySA2oi4yPfy4ORISLI/60Iw17BqxiVkcb8PIcH7x7ONcq/H2wLmlNjDP+ttAfj32fhOPZNdAOXCcrW7oR4iTBT4/GjKpL/2/SlPJuxWiSpc7efvi9duSWnrMy0gkncmpR19YDnYSHjesiR8yP42Zwp/RMPwc6CQ/RrlKcvVZnNzsPuE6mHp7gigCdA0oaOvBTQhm2J5WRz6PTgCneRBVpirfyV11FuhVcq2nDtqRy7LxaQalQBOocsDxCD3+tA07lEGGogyseOgkPS0J1GO8hR1p5M7YnlVOcztViLuYGatDVZ8RPCbaJE5tJx7vLgtDe04+dVyso55KIy8T8IA3i/FSoayNcqoerQo5zl2F2gBoOPBZ2JVfYneLzUApxT5ge8wI1YDBoOJJRjcMZ1bhSQvVL8lIJMdtfDV+NGOvji+26nluqu24KATFVmFltFVDtpxFjdoAas/zV6DOacDC9CgfSqyhiYx6Lgem+SswP0mCKtxJcFgPdfUacu1aPQxlV5Ip98Oczw1eFuYEEobqbXdB/SZjNZlwpbsKG+CKKXtJJysMDsS5YHuFECfK1IL+2HZ+fKcCu5AqS7I5zlxHtL7UYPyaUYkN8EUkeuCwiCmXdeFe4KYSoaO7Cyi8vUkgwQHg1/WORP8xm4PtLJdgQX0xWwKQCNh6IdcHaWGekV7TgX3ZE4DQaDVeKG23aymxcF4VJg8yA+4wmfH2uCB+cyEN3nwlsBh1PTHHHU1Pc0dzZRwZ6M+g0vLHQHyF6CR7akEC5nropBDBI+eRv6ndT3fHSTG9sSyrHH7cTU4I8FgNdfUYYpHzsfGrcqA+8jJGlUcRokiXg1qtLligTH7UIGx6KuisqHndSz3QrEHGYCDFIEF/QQAl4HTqwJ+YysTraGQ+Oc4FMyMbxrBr8mEDNwVOJOVgR4YQVUQbofgXj0yOFfqMJZ/LqsC2xnGIzwGbQEeevwrIwPThMOvakWDssBztJsDRUB2cZHydzarEnpZJyYw81SDDDV4Xsqla7vjU+ahGem+6JrCoi2+tWz6eJnnJwWQy0dvUhsaTptqY3g/QOmDVgxfH5mQKKC/NgsJl0fLwqFFoJD0czq3E4s5qiWaHRgHCDI0mQ2nv6cSCNIEiDBe1cFh3TfYgK0lRvIi+vvacfJ3NqcSSjGqdyayleYXIhG3F+aswOUCPWTTZGkG4RFc1d+P5iCTZfKSXF+TwWA/eE6/DgOBebi8/Shk58diYf2xLLyWpjlKsUz033RKSLFAfSK/HV2SKyekWjAdN9VHhkoiuiXaUoqOvAoo/PW6UHWCo4LDod25PK8OW5QpJYWdIU1o13xaWiBvz7yHURuLtCALUDF6llLTbNdmPcpPjPvSHQSXhIKmnEX3ZmkENFMW5S/HNxIDyUQiSXNuHx75NQ29YDCZ+Fj1eFIbW8meLKDQBPTXFHXVsPOUj0l7k+eGSCGz44cQ0fnrxGWWBI+CzsfHLcLxLfMkaWRgGffPIJPvnkExiNRuTl5Y0aWZrw9kmKj8rNIMpViq/WRthcCf2S6O4z4utzhJ7pZowgfw4kfBZlCknEZaLfaEZ3v5H84RqkfDw8wRXLwvVo6uzF5oQybEksI1sXNBowyVOB1dEGTPdR/iIuxXczGjt6sTu5AtuSyilTbyoxB0vD9FgQRLQ8d14tx9lBNgPEJJcSC4IJv7O9KZU4nVdHPm6ZyiJuMlV2qzUaBy7MZtj1wBrnLsNTUzxwOLMKP1yy3+77wyxvzA/SILuqDU/8YF8n+PAEV8T5qfDB8Wt2A5fZDDo+XBUCmZBDVKMyqym/XyadhtiB6lacnwpNHX04kFaJ/elVFC8nDpOOaT5KzAvSYJoPkSnX1NGLYxZd07V6SttR68DFrAA1ZvurEeEi/Z+peI4kunqN2J1SgQ0XiinTyRM95XhovAumeCmttDblTYRQe+uVcvL7CXd2xLPTPTHJU45LhY34+lwhJQolUOeARya6Ym6gBjlVbVjw8XmrY3l8shuem+4JNoOOQxnV+PxMAdlWZtBpWBSixXPTPbHpcim+HGIlw2cz8P6KEMzwVWFLYhn+vi+LbO3x2QzyWiwVsPHXub5YGqZDv8mMTZdK8K9DOejtN8FbJcLrC/zwjwPZlN+6XMjG5/eHY+PFEuxLrQRtYJBoboAGz29JtrJ0YTPp2PRINJlBOtoYI0ujiNGuLEX889iwrSNbOPTcxGG9iX5pjJaeCSCqS2wmnSIojnRxxMMT3DDNR4nTubX4MaEUZ/LqSBIlF3JwbwRhIve/KH69HWRUtGB7Ujn2pFRQjOfCnR2xPFyPGDcZTubUYmdyOSUPT8xlYl6QFpO95Chr7MKOq+UULyyliIMloTo4ywR4/3jesBOLvxSYdBreXxkCEZeFI5nVOJpZQ2lVcll0TPZSYHaAGtO8Vaht68b+gQrSYG8jNpOOqd4KzAvSYrqPEgIOEzUDtgaHM6pxucha1zR7gCAFjWmQRgxmsxkXCxuw/kIxjmdfF2+7yPh4YJwLloXrKZ5EAFDV0oUvzhSSaQkAMXH27HRPTPNRorC+A9+cL8KOpHJSi6dx4OLBcS5YGWVAZmULVn9lbb78YpwXHp3kBg6Tjgv5DfjibAGlAgoQvZcAAM2wSURBVG4LDDoNa2Od8ew0TzgK2Ciq77CK0prlr8JbS4MI49SsGrx9KIecXo3zU2GChxyv782kPGfdeFc8O90DL2xNxcmcWrAYNLy3IgSucgGe/OEqShs7wWHS4akSkr/5j1aFYkHw6ManDcYYWRpF3O1tOIC4wfz4aMyoBC7eLsoaO/HY90l2fXhGAvOCNHh0ohuUIg42XynD1itllKrEBA85VkcbyGDNMdw6evqNOJldi21J5TidW0sRdc8N0GBZuB4yIQe7kiuwJ6WCkjNnkPKxOFQHH7UICUWN2JtaaTPf8OdgXqAGMW5SfHO+iDQEHAovlRB/mu2D9ReKSRdlW2DQaVgT44ymTsLiYvDkn0UrNMtfjcleClQ0dw202CoprTg2g45JXoRYfbqvEiIuC6UNnTicSeS2DbUZsOiaZgeo4akUjhGkUUZZYye+u0iYUlq+byGHiWXhejwwzsXKVLG2tRtfnC3EpsslpF2Dv1aMZ6d7Is5XheauPmy6VIKNF0tIgs1nM3BvBNFey65utTkV/co8X6yJdYbJBPxhe6pV2/rpqR6YF6TB24dzSA2RiMvEgmAt8mvaKcJ0gNAO3h9jwJm8OlwpJjSBMgEbD45zQVJpk5W2b/NjMfDXivHwxkQkFDWCy6Lj8/vD0djRiz/vTEdPvwlOUh6WhurJNtzLc3zwxGT32/3o7wjGyNIoYjTJUktXH4L/dvSmt//TbB/sSalATnUb5EIONj8W/YuKu22horkLH5/Mx7bEshvGjdxpTPSUAwAlakIqYGN5hB6rIg0Uj5Ex/HzUtnZjZ3IFtiWWUbyT9I483BOmx9IwHcqburDzagUOZ1RZ6TWGA5NOw1v3BCG9vBkbL5bY3Y7LosNf6zDsgAGTTrvpc9FJyrMS4w7G6mgDZvurEeMmQ3lTJ6lBGlwtYzFomOSpwLwgDWb4qSDiMHGtth2HB0TkQ/MHwwwSUtfkLBs7R+8GdPT0Y2dyBTZcKKKc21O9FXhovCsmDhJPA0B9ew++OleI7y+WkG0vH7UIz073xGx/NXqNJuxNrcQ354rIlh+dBszyV2PdBFeUNHTipW2pN318TDoNj092wzPTPHGluBFv7M20MuZ9aaYXot1kWPHFRYqOk0YjyJafRownN12lPOfeCD1eW+CP3n4THvg2AekVLRBxmPhiTTgOZVSTk3FTvBV4YJwLnvg+CT39JtwXbcA/Fwf84uR+jCyNIkaLLPX2m/Dg+oQb+gsNxa6nxuHPO9MHCBMbPz4a87Myg+4Uqlq68MmpfGy5UjbseP9oIcLZEWvHuWCWvwoc5uiNrv4vwmw2I7msGdsSy7E/tZIi+o51k2F5hB7j3OV481A2OZpsC7FuMtS391Cm6e42KEUccFkMmGGmkComnYaJnnLMC9Iizk8FMZeJ9IoWHMqoxpGMaophJ4NOQ7SrFLMD1Jjpp74rhjTGYBtmsxnn8+ux4UIxTubWki06d4UAD45zwdIwPQSDAocbO3rxzflCbIwvIYXXnkohnp7mgflBWtBpwPn8enx1rghnBxlUTvZS4K/zfHEqpxZvHsqxOo4YNyk2rotCQ3svXt+bSQbuGqR8LAzWWg0NAET+m4jLpLTFAUIv568VW1U11z8UianeSlS1dGHNNwnIr22HTMDGO8uC8MmpfHL7Z6d7YkmoDss+i0dDRy+m+Sjx5Zrwu0LzOUaWRhGjQZbMZjP+sD0N25NuT9Nz5a8z8MC3CciqaoVMQBCmW80LulOoae3Gp6fy8VNCGUWQOtIQcZnDGlPqHXl4dponlobp7oof8f8KuvuMOJJZjW2J5cO2uG4XAToxyhq7KFN2Q3EzlaQHYp2twmcHI1jvgH8sDoCnUoQPTlzD52cK7L7W/y0JwCx/NURcFhKLG3E4kyBIg1232Qw6JnrKMStAjRm+KkgFbJv7G8Pdi+L6Dmy8WIxtieUkERJxmVgR4YS1sS5k5hsANHf24tsLxVh/oYi8TrkpBHh6qgcWBmvBZNCRW92Gb88XYWdy+U0vMD9eHYq5ARocy67BMz8lU8xN6TTgraVBKG7oIHNCLXCVC7Ai0glv2SBis/xVePueIIi4LPyUUIp/H81Fc2cftA5cPDPdE/85mov69l6IuUy8tyIEYQZH3PNZPArrO+CvFWPr47EUwvhLYowsjSJGgyx9dOIa/nMsz+aY+83iwsvT8Pj3icioaIVUwMamR6JHVfRd29qNz85QnWKHgwOPBQceixKVMRpwkfHx3AxPLAzWjU0QjQI6evpxOrcOBzMIF2p7eCHOC95qEbZeKaNMDg2GSszBDF/VsMaWPmrRTYUn/xLgsxmY6q3ErAA1pnorrETCY/h1or2nH9sTy7DxYglZzbFYBawb74JYdxnZjmrp6sN38cX4+nwRSfCdZXz8bqoHloTqQAPw3vE8fHKKSm7CDBJ8sSYCn50uwLcXiqyOIc5PhVM5tVaLgigXKUobO60mSIe715z741TUtvXg9b0ZZBXKRy3COHc5Nl4shtFkho9ahC/WhEMl5mLNN5dxpbgJWgcudv1uPFTiu6cyOkaWRhEjTZb2pFTguc0pAIie8r+P5tncbrKXgpIjZAs7nozF3/ZlIa28BY58Fn54JNoqaftOo66tB5+fKcAPl0oo8Q/2oJPwIBWwhw2v/bkINUjAYdKRWNxkt6LgoRTi9zO8MCdAfVeG3v6a0dbdh5M5RNbZ6VxqLIhl5F0h4iC3um3YNtwvhWC9A+6LcQbMwPvH8+zmDYY4SfDRqlDIhRx8ePIaPjttu9oEEC7784I04LLGWsC/VZhMZpy5Vof1F4opLTUvlZCMULJUtdu6+/D9pRJ8fa7opocaIl0c8cZCfyhFXLx1KMfudPHfFvpbTbIBwHsrguGrEePZn5KtMuvsQcRl4onJ7sgYaCEDRJzJm0uDwGHS8dyWFOxLrYSIw8T2J8f9Yh0NexgjS6OIkSZLs98/i5zqNjwQ64wp3ko8tOGKze22PBaD3SkV+CmhbNj9/XNxALYlliG1vAUSPgs/PByNAN2dJ0wN7T344mwhvrtYTAnptIcAnRgOPBYu5NvXZLkpBJjspUBtaw8OpNuvQtwsXOUCgpiVt9htCfpqxPj9DE/E+al+cTHirxnNnb1ELIgNTyCDlI85gWrMDdDAQynEuWt1OJJZgxPZNZSQ3pHCuvGuNlfjFoi5TKyJdcZ38SV2w6ylAjbYDDoaO3tvqnI6FBwmHTP91VgWrscED/lYVfM3jvzadnx3sRjbk8pJgbeHUoi/zPXBVG8lea1p7+nHfV9dsopBcZLysO/pCeCyGPjmfBE+PpmPrj4j6DRgXpAWGgeulb/SjfDsdE9oHbh4eWe61WOLQrTgs5lWrvpfrY3Au0dykFfTDiadhlfn+2FtrDMqW7rx8o40nLtWDyadho3rojDeQ35LxzMaGCNLo4iRJktPbUrCwfRq/GGWN7p6jfj4VL7N7eRCNt5aGoRHvku84T6XhuqQV9uGjIpWIo/rkRgE6u8MYWrs6MWXAyTpZowmJ3kpIGAzyFWJLUz1ViBA54DsqjacyKkZ5H/ERlNn3225Lg+GiMuEi0yAvJo2u9WvIL0DXojzwmQvxRhpukk0tPfgaFYNDqZX4WJBA6WK56YQYG6ABnMC1dA48HA8uwZHMwkiNfg7kAnYmOGrwkx/FVq6+vDCVvsTQM9M80Bbdz82xBeP5NuyCS+VENN8VBCwGTiWXWM3a3C2vxr/XBIAuZCD2tZu7E6pwPakcspKXiXmYEmoHsvCdXfd9OoY7ixauvqw5UopPjtdQPqRxbrJ8Je5vqho7sL7x/Psto3VYi4en+yGVVEGNHb04qlNV63CoeVCDiZ7KXAsq9rmwuMfi/xxKrcOJ220tnUSHmYHqPHNefsLCQuUIg4+vS8M4c6O2JpYhn/sz0Z7Tz84TDreWRaERSG6m/g0Rh9jZGkUMFoO3l+fK8Q/D2Rjuo8S6RUtw5rwCTlM8NmMmzLq81QK0dHTj8qWboi5THz/cDSCnSS3fZzNnb346lwhNlwoJke+pQI2+vpNNlfji0O0YDHopB2+LQQ7SRDqJMHV0ibKzWeajxKPTHRFmIH4Yb62x7qkPBi3MgruqRSivKmLdLQdinBnRzwzzWOMNNlB7YBp4sH0alwuogbQ+qhFmDNAkHgsBo5mEQTpSnEjZTsnKQ+z/NSY4acCDSCDam/Vuf52oRJzIOKyKAaRQzHeQ4b7o53xzfkiuwG5OgkPOkceWrv6UFTfQZJASxTMykgnjHeXg0YDMipasT2pDHtSKylO88FOEiwL02FBsBYS/pjI+7eKlq4+Qm90vsiqyi3iMPHIRDc8NMEFbAYdWxPL8NnpAoonmT1oHbjQS/lILWu+KRnEYBx8diI+P1OAvanUVviWx2Lw8al8ivnl3EA1/jDLB2/szSTlIGEGCd5dHgz3XyDG5GYxRpZGESNdWUoubcKST+PhyGdRnJAtArwoVym+eSACj2xMxGUbMRBSARtaCddqHBQgHIItLQMRl4nv1kUh1OB4S8fX0tmHr88XYv2FYnLiw1nGB5tBtznSvW68K/pNJnw3jBeOXMiBs4yPquYuUg/CYdJxz0DgpErMwQ+XSvHN+ULSzVwu5EAr4aK0sZNys7ld6B15aGjvtUuavFRCPDLRDYtCtP/zVgOVzV04nFGNQxlVSCxpouQ+BejEBEEKUKOn34SjmTU4kmntHeSnEWOWvxrTfZVo6uzFkcxqHMmsoUyfcVl0TPFSYqKXHNlVrcNGlgBExM2SUB2OZ9fY9UJaFeWEGb4qvLQtlfL7GgwXGd+uYeVwEHOZmB+sxT1hengohdiXWoktV8ooejy9Iw/3RjhheYQeGgceevqNOJVTi+1JFTiVW3s98oVBxww/JZaF6zHJUzE2sfkbQ5/RhBPZtXhldwbF7R0gztGX5/hS4qq6+4x48ockq/gQAPhkdRgqm7vwfwezKf93lQvw3ooQdPb0Y/XX1m7g9kCjARM9FcitbiUDgIcDm0nHSzO98PAEt7u+nTxGlkYRI02WevtNCHjjiF0dxBdrwjHLX43uPiOe/SkZRwf8NAYjSO8AF5mAskKQCdiUyA+AWMFsWBeFcOcbE6aWrj58e74I354vIitHXiohVGIuMiparG48q6IM4LEYw2pDAOKmQKOBXAXJhWysiXHB/TEG0Gk0rL9QhA3xxWRJWSfh4Ykp7lgericT1785X4RPTuWTbUCZgA0ui3Fbob1yIQftPX12dVcKEQcPjnPBfdGG/6mVf2lDJw5lVOFQRrVV6T/ESYK5gYQnUG1bD45mVuNoVg1lspFOAyJdpJg54GhdVN+BwxnVOJ5dQxnzF3GYmO6rRKBegrN5dcMOMUgFbCiEHEpu12CIuEzIBGw0d/XdEqGm0wCliAsBh2Fl5DcYnkoh3ronCCdzarDragVF+O0mF2BpmA5LwvRo6ujF1sQy7EquIMfE6TRiSGNFpAHTfZVgMeiob+/BnpRKbB+StScXcrAkVIt7wvXwUd+9MUZjuDEK69qxJbEMO5IqSJLEYzEQ4eKIurYesgXnyGfh2emeWBauJ80qC+vtn4u2IGAzMC9Ig45eo93J01CDBMlD/JREXCb2/G48alp7sOqrS+T/pQI29j0zAZPfOUWp3C8J1eHfy4PveqIEjJGlUcVoWAfYizhxlvFx8sUp5EnZbzThzzvTbba24vxUYNJpFG3QeA+ZlaBayGFi47pIhDvbDjZs6+7D+gvF+PpcIUlYfNQiBOoIV+ShP2CdhAcXOX9Y4bYtWCZEFoZo0dLVh6/OErlKFgLkrhDgqSkeWDjQzhuK2tZuvHMkl/Sm4rEYCNQ5oKvPeFuTdjwWA0aT2a4QnMdi4N4IPdZNcP3NuioX1rXj0EAFaXClkkYDIp0J08SpPkoU1bfjSEYNjmfXUAg5h0nHRE8FZvqrEOsmQ0pZMw5nVuNUTi1F3yYTsDHTXwWFiIv9qZXD3hRWRjphWbgeCcWNOJJRbSWEvVWwmXS8Ot8P03yU+PjktRsOTNjDO/cEQSvhYefVchzKqCYrlDQaoUlZFq7HFG8lzuTVYnNCGaUqLBeycU+4HisinMgk9szKFuxIIiJhBn+mAToxloXpsTBEN+bF9CtBV68RB9OrsOVKGSVmRC7kYHmEHg9PcIVcyIHZbMap3Fr862COzZawiMvE/THOeHCcC2QCNl7dk2klwFaKOPjPvcF4/PukWw4r91QKUdrYecvtO4Aw+f3vvSEUL6m7EWNkaRQx0mSpvKkTE94+ZfOxNxb44cHxrpT/mc1mvHUoB1/YmISYF6RBVmUrxbn18Ulu2BBfTPlBCNgMbFgXRUmCbu/px8b4Ynx5tpBc+XsqhZjpr8LVkma7qeu3iomecjwy0Q2TPIkg1c/PFmB74vXEbn+tGE9P9cAs/5sb6U8vb8Hf92eS+UYaBy6meCtQWNdhs215M6DRAHu/HEskwaOT3BB2iy3Nuw1msxl5Ne1EBSm9mlKxodOAGDcZ5gSoEesuR2ZlC45kVuN0bh3loiweyESb6a+Ct1qMiwUNOJFdg3P59ZRqqcaBi5l+KvQaTdiWWD6sxuzlOT6IdJHidG4tDmdUU9q9NBpxoZ41EDGSUNSIv+/PsruvRye6wkctxsmcWhzKqLolHzM3uQD3hOuhlXDxwtZUm+eEj1qE91eGIL28BTuuluNS4fVzTsBmYE6gBveE6aEUc7AtsRzbk8opbZgoVylWRjphToAGPDYDfUYTTufWYXtSGU7m1JLmhCwGDdN8lLgnTI+pPkqbC4gx/HIwm83IqGjFlsRS7Em+7lpPpwFTvJVYEemEaTa+t4K6dnx5phBbEq1J+/f/z955hzdxZ1//oy5bkqssV0nuHUxxo/cQSE8gJEB6r7vZbMnW32b33V6T3dRNIwkkBEIKaZTQmwEbDMY2uPfeuy1L7x9jDxaywRQbSHyehwewpZmRNJo533vPPeeBRGaEeZFX08pfv8lm0wnHrsK58Pa9CRwva+KfWxwtad6+LwGr1cYDq+yHhv586ziHibkX7pjAjXF+fJxWxm8/P0FrlwWNUsbLKyczK9zrvI9rtDBGlkYRI0mWOnt6WfLqvkH1Rjq1nAM/nzekE+prO/OGtMEfeMEG+Mtt43hpe55dm8RZKePtexNICvZkd04NP/zwqLiiDfHScGeiicyKZj45UjYkcRgulDIpN03w44G+G9epqhZe2SEIC/s1G4mBHjw+J+SChNU2m42vjlfyx6+yxFZchLeOSWZ38mtaL5g0nQuTze48NCOYBdHeV0VJGgQvmCMlDWzq0xYVDdDqyKUSpobqWRzrQ5zRjcNFDWw+UcmB/Do7R2EfFzXXxHhzTbQPWrWcnSdr+DbbcUIs0NOZ2REGCuvaHII5B8LdWcH/3RCDk1LGjpPVbM+usTPRU8gkTAnRc22MDxE+Oo6WNLI1s4qDhfUXPSnZj6fmhrIy2UxedSvr00r5+rh9tWhaiJ4b4/w4VtY4pJbq2QXhXB/nx+dHy9lwpNTuvQ1wd+LWif7cOMGfvJpW1h4qsQse1qnl3DzBn2UJRtHqo76tm8+PlvFxWpldtdRTo+TGCX4smRww4j5qYzg7mtp7+Cy9jA8Pltjp9IweTiyLN7JkstEhvsZms3GosIHXd+WzNes0AQrx0mADSus7Bq1wSyWwLMHEM/PDKGno4LZX9p3XscYZ3citajmvTMZ+OClk/L3PK6ykvp1nP0rnYGE9GqWMdY9OJdrvymwXj5GlUcRIkqW/bzo5pFXAwzOD+cXiqLM+/6NDJTy34ZjDatlZKXMoyf7v7njWHiqx+3JKJMKo8+bMKnqtNoL1Gh6cEUxFUwdv7C4YUvw8XLg7K1iZbOauKWYMOjXpJY28tD3XTnc1K9yLJ+aEkhg0eFvwfNCvZ3plR54oRg9wdyLe7E55UycHR4g0mT2deXB6EEsmG3FSXnli8G6LlX15tWzOrGJLpr2oWimXMiNUz6JxvgR7aUjJr2fTCUedUn+VcXaEgdYuC99mVbEtq9rBsHGC0Y3xAa4cyK87q/HdJJMbD88MobKpg20naziQV2d3g3BSyJgVLrT0PDRKDhbUszWrymGb4d5a5kd5Mz/amwkBbkgkkFnRzK8/zXDIuupHgLsTN03wo7xRmOzr/67IpEL15o4EI/GBHmw+Ucn61FI7sq1VyblunC/jja78d1vuoBNLrk4K3nsgkS6LlY9TS/nyWIXdxGhCoDu3TQpgstmdbzIqWXu4xG4SMNbfhWUJJm6a4IdLn8v3ycoWPk4rZUNamV1lKtJHx5LJAdw80R+9VjXk+z2GSwebzcaB/HrWHirm64xKuynIa2N9uCPBSHKwp0Nl3NJr5ZsTlfxvV75dO3l+lDcPzQgiMcgDiUTC7pwa7nrzoMN+P3pkChIJ/PWbbLGSfiacFDKeWxTJG3vyHYYeXl4xiUkmd2b/fbuDRvP/3RzLl8cqHDoIz98Yw9asKnEy7sk5ofxoQTgWq03MMvVxUfPJE1PxdXUa5js4ehgjS6OIkSRL/9h8kv9sG5ws7X1uLv5u5z75Np2odMgEGnJ/S+OobuniL984VqRunejPRLM7//k2Z1jWBGdDsF7D/dODuG1SAGqFlJSCel4aMIraT9KemBM6IoaZTR09vH+giLf2FIjVMr1WySSTO/Vt3UOOgl8s3JwV3JVs5u4pgXjpLu+Nq7XLwo6T1Ww+UcX27Gq7m7VOJWdulIEF0d54OCvZk1vLphOVDuLmiSY3Fsb4EG92p6C2TbxoDiTiaoWgU/J2UbEls+qs0zQ3TfBjfpQ3x8ua2JZd7aDTMHo4MTfCwJQQPRarld2navk2u9qOHMikEhIDPZgf7c38KANmTw0d3b3sz69le3YN209WD8uCINhLw/JEE9fG+rA3t5a1h0rsyJW3i4olkwO4Pd6IVCLh47RSPk4rtbsBmT2duXmCP21dFt4YwqvmzkQTP1kYwe6cGj5OK2NPTo24uFHJhZvrnYkmenqtrD1UwuYTVSJpVCukLB7nyx0JJhIC3ZFIJFh6rezOqWV9ailbMk8/ViaVsCDKm7unmpkS7DlmezECqGruZH1qKR8dLrGrGkb66FiWYOTmCf64D6Ira+uysPZQCW/tLRDPTaVcypLJgn4pxEtLZ08v32RUsjqlaEgiNBR+sTiSMIOOn318zOHabfZ0puk8Bh7kUglTQjwpa+gQtYTzowz4uzmxqm/CeX6UgX8tm4DVBre9so/c6laifF1Y9+gUtFdIJlw/xsjSKGIkydK6wyX8ZP2xQX9X+Ofrhr2dfXm1PPxuqlhNORsWRHtzy0R/Hl+dNuztDxfJwR48OD2YuZEGJBLYfrKal7bnkdpHTmRSCTdN8OPx2SGjYsbX2dPLR4dLeG1nvtie06nkxBndaO2yOFRPLgQSibCak4BY3lbKpNwy0Z8HZwQR5j16poO1rV18m1XFphNV7DlDM+SlU7Eg2pt5/Z9Ndg1bMqsGbXddE+1NoKeGY2WNfJtVTVqxvV2At4uKuZHedFusfHq07KytsPunBRHmrWVPbi27TtXYhR3LpBLize7MizIQ6+9KUV27oHc6w7hSp5IzK8KLBdHezA434OqsoLiunW3ZVWw/WcP+/Dq716qUS0kO9mROhBezIwwE6TXYbDaOlDSy7nApnx8tO/1ZyaVcN86XFUkmXJwUfHSohA1HyuwiKKYEe3JHopFron04VtrI+tRSvjpeIW5DKhG8weZFefPR4RKHaaN+vH1vAlG+LqJR5UCyGOGtY0WyidnhBrZkVbH2ULFdFS24L/j01kkBIhFvbO9m47EK1qeWkj7gXA4zaLlriplbJwVccTevqw2WXivbT9aw9lAx20/WiOe6ViXnhjg/7kgwMj7AdVByWtXcyTv7Cll9oEgclvHQKLmrr9qu16rIr2nlg4PFrE8tFSeM+4nv8iQTVpuNe98ePNXh9zfFsDTeiEou5ZuMSn75aYZDdMq/l00gq6LZQeM6zt+Vfy2LY/4/dzlsN+3XC9Cq5Pxvdz4vfJtDt8XKtFBPFo/z5fmNmXRbrIQatLx+12QUMim3vLyX2tZuZkd48cbd8VeU7cUYWRpFjCRZeuCdQ0OGhp4PWQLIKGvinrcOOtgFjAZunuDHA9ODGRfgSq/VxtcZFby0PU8ch1bKpSyLN/LwzGCMHqM/PdHTa2Vjejmv7MgTxcIquZQYPxe6LFZOlDtqxs4XSplUvIkNtDCYE+HFQzODR2y1X1LfzqYTlWw+UcXhInvzx0BPZxbG+DAjzIumjh62ZFayLbvazulXo5QxO9LA3AgDGpWclII6vs2qdgg4jvFzYUaYlzAJdxahqUYp495pgajkMrZlV5Ne2mhHtDw0SmaHezEn0oCPq5qDBfVsyaxyIK7+bk4siPZmQbQ3CYEe2LBxqKCB7Ser2X6ymvwax6nMOZFezIkwMCXEE2fl0CShtcvC50fLWZ1SZPfZR3jrWJ5k4vrxvqQU1PPhoRJ259SIx++ilnPLRH9uTzASpNfwTUYlHx0usdMI+rs5cUeCEY1KPqTwfHaEF/9YGkdJQwcfpBTzWXqZ2BZxVsq4aYI/K5NNdFmsrD1YwsZj5WI1Ty6VMD/Km2WJRmaGeYlauZOVLbx3oJANaWXiYzVKGbdOCuDuKeZRJe3fBRTWtvHR4RLWp5baVWvize4sSzBy3XjfIc+x7Mpm/rergM/Ty0StX5Bew4MzhGq7VCJhS2YVaw4W2U0R+7qquTPRxO3xRjLKmvjFJ8fPWuUf5+/KHYlGMWIIhPNv8TgfvjxW4dAid3VS0NnTO6zpt/cfSGJ6mJ4D+XU88M4h2rp7iTe786MF4Ty7Lp2Kpk50ajn/uXMibs5K7nh9P509VlYmm/j9TbFXTGVzjCyNAkbawbvfjHIw3Bjnx4t3TjzvbebXtHLXmwcvyG/obNBrVQ5GaiBM2t07LRBfVyexyvDqjjyxfKtRyliZbOaB6UEYroAkaqvVxtasKl7ekSfenGVSCWEGLRar7ayOzsOFUiYl1KBFJpWQUd4k3mhj/Fx4eGYwi8f5XtQkk81mI7uyRTR1zDrD/DHW34WF0T7EB3pQUt/O5kzHiBG9VsmCaG+Sgjzp7rWK/kYDqz5KmZSpoZ5MMLqRkl9/1mnIYC8N143zpaali+0nqx1acdG+LsyLMjAjzIsuSy/bsqsHNZKMC3AV9UeRPjoqmzvF1treXPv2n1wqIT7QnTkRBuZGGgg1aC9oMCC9tIk1KUV8nl4uEhYnhYwb4nxZnmTGS6di3eES1h0utftejfN35fYEIzdN8KO6uUusDvRPksqlEq6J8eaG8X58cbxiSN+bv9w2joUxPnxypIzVKcV25+BEkxsrk8zMjvBiS2YVHx4qsSOVvq5qlsYbWTo5QFyENHf2sCG1lPcOFNm1VacEe3L3FLNgMXIFrfyvJPS3wj48VGxHgD01gtXD7fFGQg2Du1XbbDb25Nby+q58O+frxEAPHpwRxPwob8oaO/jwUDFrD52eiJRIYE6EgeWJJmZFeLE1s4pn16U7aE59XNT89sYYZoTpeWdfIX/bdNLhGJ6eG8oDM4L5/GgZf998ys7PDODVlZNICvJkzj922LXl5FIJL6+YxI/XpdstpO5KNvPr66M5US4sxJs7LYwPcOUfS+N4bsNxUosakEjgZ9dGEuip4bHVqdhs8MvFUTw0M/g83vmRwxhZGkWMVGXp31tP8e+tOYP+7vrxvvx3+aQL2m5lUyfLXt9v11OfE+E1qBPsuRDj50JxXbtDnMmcCC9+d1MsRg9nOnt6WXuohNd25okrGVcnBfdNC+TeqYFXpJGjzWZjf34dr+zIs7uwmT2d6bXaKGvsuOgJwP6buUouI6WgTrwR+7qquX9aEMsSjaJ491zotdpIK25gU8bg5o+JQR4sjPEhyteFjLImNmdWcfiMiBFzX5UpzKClvq2bbdnVHC5qsGuheWqUzI004O/u5GAlcCYmGN2YEuJJRlkTKfn1DuLsaaF65kUZmGx2J7uyha2ZVWw/WW1HyFRyKdND9cyL8mZelAFPjZK04kahepRd7ZCZ5aVTMSdCqB5NC9MP+/0bDpo6evj0SBlrUortXneMnwvLk0zcEOfH0eJGQVeUWSlWDNQKKYtjfVmWYCTO6MZXxytYnVIstp5BqPAtTzJhdHfmiTVpg9oXRHjreO2uyVQ2d/L+gSI2nTi9DzdnBUsmBbAi2UyXRfi+fXKkTLzhSSQwPVTPHQkm5kcbUMll2Gw29uXV8e7+QrZkVon79HFRszzJxB2JRgy6y7+AuRJworyJtYdK+PRImUgWJP0movFG5kV5o5QPTjC7LULV+n+788XzVSqBRbG+PDgjiHH+rmw/WcOalCJ2nKoZkHup4o4EI3ckGvF1deLL4xU8/cERh+2HGbT85oZopveF1O7NreOdfYV2gzr9UCukSJCIgzkB7k7MjvBiX27doF5myj7S3N1rRSKBu5PNKGRSO/2dQibh6x/MpMvSy11vHqS+rZtIHx1v3ZvAfwb4lN0Y50e4t5a/bz6FRAIvL5/EonG+w3r/RxJjZGkUMVJkqaS+nQX/2jmoc3RCoDvrHp16wdtubO9mwb922U09XQrotSp+e2M0143zpbXLwnt9Iur+SBIvnYqHZgSxPMl81Wgljpc28crOXL7OqBQvZF46FVarjfr27osmTTKphJlhetyclezOqRVXlFqVnDsTjdw3LQi/QYT8XZZe9uXWsTmzki2ZVeJ7DPbmj/5uThwqrB+yyjQv0hsvnYqS+na2ZlU5iLjDvbXMi/LGarOxJqXYjsyciaQgD8K9dezLq3XYjtHDiXmR3syJFMSgu3Nq2JpVRUp+vZ2nkqdGybwoA/OjvJkepqetq5edp4Tq0ZmaJqkEJprcRe1RtK/LsLy3LgY2m43UogbWpBTzxfEKUQulUcq4aaI/K5JMwvTPkTLWHiqx84AK0mu4Pd7IbZP9qW/rZk1KMRvSykQtoVImZfE4H5ZMNrIrp2bI1PgfLQhnyeQAPukjbwMrWtND9axMNjEz3Itvs6r58FCxXSvHQ6Pk1omCBUF/662ssYM1KUV8eLBEbNMrZBKujfXl7ilm4s3uV0zbZLTQ3NnDZ0fL+eiMeBp/NyGeZkl8wFkHbGpbu1ifWsrbewvESqqzUsbt8UYemB6EQiZl7aESPjxUbDcxOT1Uz/IkEwv6chE/O1rOs+scw6Mnmdz45XVRTDZ70NplYUNaKav2Fdp976aH6pkTaeD3g7R7f7E4knunBqGUS6lu7iTxj9/a/f6RWcH8fFEU1c2d/PnrbDYcKQMEgnhXstkhsP2Pt4wjIdCdFW+kUN3SRbBew+qHktiaVc3zn5/AYrUR6++Cj4uarVnVqORSPnw4+bzjtS41xsjSKGIkNUuv78rjj185Tqa5Oys48ptrLmrb7d0Won+z6aK2MRDLk0z87NpIeq02MZKk/8YW4O7EI7NOR5JcjciraeW1nXl8cuS0zkCjlNFrsw0ZhXK+mB6qR69VklHeLLZbZFIJ14/35aEZwZg9ndlxskY0fxwo2HdRy8UKjEYlZ09OLZszK+1aWf2TYlNDPFErZGRVNLP9ZLVdNI1cKiEp2IMZYV4U1bU7OAKfiRlhenRqObtzah3E2QmB7syNNDBHtBMQ2mtnVoTCDNq+6TVvxge4cqK8mW3Z1ew4We3gzeTurGBWn6ZpZpjXoNNFo4WGtm4+TitlTUqx3co8zujGiiQTN4z3I6uy2UFXNNCCICHIg6+OVfB+SpGdn1q4t5YVSWZi/V14+oOjg7bOdWo5q+5PpKGtm/cP2FcmvF1U3JFg4s5EE90WK+tSS/jocIldC3Ryn77m+j59TZell6+PV/Lu/kK7yb8oXxfunmLmpgl+Z9V6Xe2w2WwcLKhn7eESvjpeIX6vFTIJ18T4iMHHQxHypvYeNp2oZOOxcvbm1orVOoNOxb3TArkzwcTxsiZWpxSxNet07p+7s4Kl8UbuTDQRpNfQbbGyIa3UwfgRBLLys2sjifZzIb+mlXf3F/FxaqlY3dcoZdw2WdChlTZ08I/NpwZNLPB2UfHU3DCkEgn/2npq0IXzolgffndTLF46FZtOVPLDD4/S0dNLhLeOvy+N42cfH7PzjpoS7MlPr43gyTVHKGvswOjhxJoHkylv7OCx1WnUt3Xj5qygt9dGS5cFvVbJJ49Puyw61X6MkaVRxEiSJUuvldBffj3o785X4H0mvjpeMejEm5uz4oKCaF+8cyLpJY2sSSkWy7yhBi2Pzw7hhrjBI0muRpQ3Ch5THxw8/Tr7Q40vFSJ9dIQYtFQ1dZ7VxsCgU3FNjDezwg30Wq19Wp9qu4kXlVzKzHAvYv1csSFURc40kXR1UjAnwouwvqrQuaJp5kYaqG/rHlycHeHF3EgDcQFuHC9rYtepGr7Nrra7GPcTqflRAkFyc1awK6eWHdnV7DxV4zCEMM7fVage9W33SjP47PfVWZ1i3x7TqeXcNimA5Ukm/Nyc+PJY+VktCJo6elh9oJjP08vFc0utkHJjnB/LEkwcLWkctEoAQtjqvVOD+PRoGR8dOl0hkkklzI8ysDLZTHKfweyHB0v4Nrv6rJNbGWVNvLe/yE5crlPLWTrZyF1TzATpvzuRPtUtnWxIE963gaQ33FvLsgQTt0wcOkqmrcvC1qwqNqZXsPNUtd33Ki7AlZXJZqaH6fn0SDkfHCy2a5EnBnqwItnEwhgf1AqZ2EL9zWcnHPZz3ThffrwwArOHMztOVfPOviJ2DchJDNZruHuKmdsmB5BV0cLfN50Uo1Q0ShkPzAjmgelB7DhZza8/zbDTHoGgK/z70jhi/Vz57/ZcXt6ei8Vqw91ZwW9vjOHGOD8yypp5YNUhqlu60GtVvHFPPAcL6hwW9H9dMp6XtudSVNeOj4ua1Q8loZJLefjdVIcA7VCDlo8fnYqr86VrmZ8PxsjSKGKk404m/X6Lw7gnwMFfzrsgTUFjezfXvbjnkou8ByLWX4gkuSZ6eJEkVyPq27p5Z18hq/YVOgglRwNzIryYEebF3txa9uTaC7RdnRTM7Zsm67ZY2Ztb61DNCdJrmB3hRWdPL58fLT+ra69cKmFaqJ7sQVLHY/xcmBtp6HNWh905ggXA0ZJGOwKp7R/vj/JmVrgXFU2dovYorbjB7rE6lZwZ4XpmRxiYHeF1VWlnalu7WHe41OHGmBDozvIkE4tiBYfjtUNYECxLMDI11FPw1Dlgr4+K9XdheaKZpGAPnvv42JB+O6+unESXxcrqlGI7o9V+bdTSyUZ6eq2sTytl7SFHT6A7EozcPNEfN2clje3drDtcyvspRXaPmxGm5+4pgcyNNFxx5HU4sPRa2TUIcXRWyrgxzo/bE4xMNLoN2n7s7Ollx8kaNh4r59usKrvKcqSPjhvi/LhunC+VzZ2sTinmm4yKQQl0eF8b9GRlC+sOlwzqxXVHgpGn54WhUclZd7iEd/cXieeVRAJzIwzcPTWQGaF6Miua+fvmk6IbvlIu5e5kM4/NDsFTq6K8sYO39hSwan+hHakDQdf4z9vjCHAXqjwnypv48bpjYut+QbQ3f7g5FovVxv3vHCK7sgW1Qsq/bp+Ar5sTN7+01257N0/w42hJI4V17ei1St5/MAmzh4YffCiEvStkEtQKGS2dFqYEe7Lq/sQhdV8jiTGyNIoYSbKUU9XCgn85+lwAvLpyMtfG+pzX9vbn1dmlRgP8+JpwVu0vuqT6pUdmBfPEnNBLKrC9UtHaZeGDlGLe2JN/VsPFkYa/mxPTQ/U4q2Q0d1jYearGbkJRKoF4swfRfi4cKWm0890ZDHqtkmAvLUeLG+3E2c5KQZw9N9JApI+OU1Ut7DolELYzSWOoQcvMMC9mR3gxzt+VlIJ6Ia5kkIm4CG8ds/tG+yeb3a/6SqTVKkw/rUkpZktWlXgz7hdjL08yEeDuzNasqrNaEHR097I6pZgvB+ijtCo5N0/0Y3mimfzaVp5c4yj8BaFl88isYDZlVLIhrUxs1SjlUq4f58uKZDMTjW6kFNTzUV/rSXSblktZFOvDsgQjyUGeAOzMqeG9/UVsP1ktHqu/mxMrk80sSzBeFUG+xXXt4sj/QA+xiSY37kgwct14v0H1lD29wqJjY3oFm09U2g21BHo6c0OcHzfE+WHQqfg4rYw1KfbThgNbs05KGdXNnXx2tJw1B4vtsjr78eD0IB6bHUJtazer9hfySVqZWG10UctZlmBkZbIZs6eG3OoW/rnlFF8dF0LS5VIJtycYeWpuKL6uTmRXNvP6rnw+P1ou6gPDvbXcHm+kuF5otff02nB1UvDP2+OYF+UtvuaXt+fx3+054u//74Zoronx4ak1aeJQ0HOLIrkz0cQza4+ybYDVjZNChlQi+Mu5OSt49/5Egr20XPvvXZQ2dDDR5MapSiFe5bZJAfx96fhR18aNkaVRxEiSpZ9vODZk6vlw4k4G4nhpEzf8d4/4f28XFTPDvFiXWnrRxzkYPDVKfnRNOMvijd+LUeQuSy8b0sp4bWcehXXt537CKECrkjM9VHC73nGy5qzhtCBoU7p6eh0mY/rF2VNCPJFKJBzIr2PXqRo78TIIF/HpYXpmhnkxI9yLjm6LONp/qLDebjXbPxE3J1IQZw/Hjf5qRVVzJx8dKuGDg8V23jZTgj1ZkWzimmgfalq7zmpBMCvMi82ZlaxOsb+5TjK5sSLJzIwwPb//MouN6eWDHsOvr49GrZCyJqXYzjsqyteFlckmbp7gj6XXxmfpZXxwsMRuGMDs6SyImicH4O2ipriundUpRaw9XCK27JVyKdeP9+XuKYFMMLpdqrfukqCutYtt2dV8erTMrsXs7qzg1kkBLEswilWegbBabRwsrGdjejlfZ1TaVQF9XdUCQRrvR6y/C2nFggThi2PlIuHs98RakWQi1t+V9m4Lm05Usu5wKfvyBm91/2BeGPdODSSlQJhqG2hREOGt456pgdw8UdCOldS38++tOXxypBSrTag03TzBnx/OD8Pk4cyB/Hpe25Vnl7uYHOzBIzNDmB1xOmOzsLaNH3x4RIxYeWRmMD9eGCEuWLIrm/nxunRRUzc30sDvborhjd2CNhVgWbyR398cy7rUEn75SYbda/JzVVPe1IlOJeft+xLo7rWy/H8pADwwPYh39hXSa7XxowXhPD0vbBif6KXDGFkaRYwUWapv62bKn74d0iBsstmdjx8b3kRcRlkT1//nNFGaGuJJTnXrRVeTNErZOUMXI7x1/Or6KGaEXbnJ05cS/aabL2/Pc+jPjxa8XVTIpdJztlrdnBVE+Qh2AgNXyv22BnMjDQS4O1PW0MGunBoOFtTbnY9SibBinhnmxcxwLyJ8dBwqqGdbdvWgsSL9rb85EQYSgzyuWrH/haLXamPnqWpWHyhm+4CQXL1WKQh8E0z4uzuJ8SqDWRDcnmCk1ypMJm46USkSYFcnhdjeqW3tYuUbKYOSY6FFHsaWzCq7G7tWJVSzViabCffWklHWzIeHivnsaLk4SCCTSgTPnyQjs8MNdPda+Ty9nPf2F9mJiMcHuHL3lECuH+97WT5jm81GXo0Qv7M1s4rUAQ7zg9konPnc9NImPj9azpfHy+0qoHqtksXjfLkhzo/JJnfaui18erSc1QeK7NrckT46ViafFsTvy6tlQ1oZn/RNlJ0JnVrOswvCWRDjw6dHylh9oEgk1TKphGuivblnaiBJfdlw1c2d/Hd7rlgRArgm2ptnr4kg1KDlm4xKXt+VJ5IfqQSujfXh4ZkhQxLZbouVP36VJZKfeLM7/1k+Ucxzs/RaeW1XPi9szaG714pOLefX10XT3m3hd19kYrUJ95VXVkymormDpa/st7umjPN35XhZE04KGW/cE8+WzCre2VeIr6uae6YG8ue+0Pd/L5vAzRP9h/MxXxKMkaVRwEibUm4+UcnD76WilEl5ZFawQ0acTCoh83cLHb7sZ+LM1ptEwkWPuw/E35aMp6a1i39vzTlr/tzcSAO/WBw1pGnbdw02m42dp2r46zcnLxtpGgwTTW5YrTaOlTXZnQeeGiWzIryYZHJHKpFwpLiB3Tm1dq0KEFbU/eRoWqgnzR0W0TV7f16dHZkaLFZkDALKGjtYe7CYDw+V2Lkwzwz3YnmiiflRBpo6ega1IAg1aLl7ipkZYV58dbzCwT4gOdiDFUlmZkV48dK2XIcoi3787qYYui1Wh2m+hEB3ViSZWTTOh16rja+OV7L2ULGdRirQ05l7pgayNN6IRinjaEkj7+0v4otjFWLb1t1Zwe0JRlYmmUd84snSayW1qEEgSFnVDq2taF8Xronx5rZJAQ7H0m/kujG9nI3Hyu0mSF3Ucq6N9eGGOD+mBHsil0nJKGtidUoxnx097Yaukku5frwfK5JNTDS6kVXRwqdHy4a0fwC4Z4qZGyf4o5BJWLWviI3HysVrqIdGyZ2JRlYkmUXrkNzqFj48WML7KUWiTmpGmJ5nr4kg0kfHutRS3tidL2rLVHIpS+MDeHB6MIHD/O59fbyCn64/RkuXBQ+Nkn8vm8DM8NML3ZyqFn68/pjYxp8Z7sU10d786ass2rp7CfHS8Pa9ieh1Su5/55BdZWx6qJ49ubUo5YLW6a+bsimqa+f2+ADcnZW8tisfpUzKew8kkhTsOazjvViMkaVRxEhVljq6e7n5pb1nNf77+LGpTDYP7VPxyZFSnlnr6NExGBQyCTKp5Jxj8C5qucMkhUwq4d37E3nx2xy7BPYzIZdKWJls5ofzw65IM8pLheqWTrZkChls+/NqHcSUlwM6ldzBPDTGz4WZ4V54apQ0tvewO7eWY2dMuKnkUpKCPZkZpmdWuBcmT2cOFzaI1aPBYkX6q0dTQ88eKzIGQRfybVY1aw4W2003ebuoWBZvZFmiCT9XNUdKGh0sCPrHxFckmSlv6mD1gWK2ZZ82mPTUCBWr5YkmOi293P3mQQfyC4Jh4C0T/fnocAmbM0/rqzw0SpbGB7Ai0YzJ05nc6lY+PFjMR4dLxGuATiVnabyRe6cGYvJ0pq61i7WHS1h94DSB6xci3zXFzMwwr0s29NHaZWHXqRq2Zlax7WS13RRvf47hgigDc6O8B23z5te08sWxCj5PL7dzRndWylgQLbirzwjXo5LLaO+28EV6BatTisSKDUCIl4YVSWZumxRAR08vnx0t45WdeUNOFN88wY+bJvqTHOTJ5sxKVu2zt2kY5+/KPVNPV+WaOnrYmF7O+tRSO3f2SSY3frwwgigfF97dX8Sq/YVim9DNWcHdUwK5Z4oZT+35B3YX1rbx+Oo0MiuakUjgyTmh/HB+uCjkt/RaeXNPAf/Ycopui1WsSvZnSXpolPzv7slMNntw91sHxfM60keH0cOZLX0C77uSA3l7XwE2G7x5Tzwfp5Xy1fFKXJ0UfPL4VIK9Rn5hPUaWRhEjqVnKq2nlpv/uHTIAN8ygZcuPZjn83Gq18Y8tJ3lpe96w9hPpo6O2tXvQyJLBMFR16u4pZgLcnfjPtlwH80K9VikaJ7o6KfjBvDDummK+6oW8/SisbRMy2DKrHIJlQ7w0xJs9yKtpPasVwGhggtGNGWF6pBIJJytb2JtX6/BZhXtrxepRYpAHDe3d7DhZw/ZsIVakbYhYkTmRBsIuIFZkDAKK69r54FCx3ei/tC/uYkWyiVnhBtq6LWxILeXdA0V2RHVqiBBXEuPnyrrUUtYeKrZrIc0M92JFkolZ4V78Z1vOoNcGnUrOa3dN5lBhAx8cLBaJlUQCM8O8WJlsZm6kgc6eXjYcKePtvQXiMUgkMD/Km/umBTIl2BOrDb7NquK9A0V2LviBns6sTDazdLLxgsbFyxs7+Darii1Z1RzIq7MbPnBzVjA3wsD8aO8+/y/H7Zc1dvBFXwVpoK+VUi5lToQXN8T5MTfSgLNSTq/VxpHiBjaml7PhSJn4Pek37OzXIm3KqGTV/kIHT7B+zAjTs2RyAAuivWnttLA6pZg1B4tFGYRCJmHxOF/umRrIRKMbVhvsya1lfWopm05UitWm/jboiiQToQYtb+zO56PDpXaO3A/NCGZpfMBFL1I6e3r53ReZrEkRfNamBHvywp0T7CZTc6tb+en6dJHszQjTU9/WzYnyZpRyKX9bMp4bxvsR/IuvxOc8MD2I6pYuNqaXI5UIhLy2tRuDTsXGp6bz6PupHCluvKiUivPBGFkaRYy0dcCXxyp4Yo2jH1I/1jyYxNQ+q3sQVlvPrD3Klsyhw0z74euqJthLw/68OgefIKVcymOzQlgQ7c0Ta9LE0m6Et+6s1S6Ah2YEkV/T5hACvDDGm8LadvH5wXoNv7wuirmRhqvuBmuz2ThR3szmvgy2M9+TOKMbZg9nZFIJBbVtDp5EVxJcnRRMD9MzK8yLGeF6vLSqyxYrMgZBP7I5U7AOGJi51x/Ce3uCEYNOxd5cIa5ka9bpapKvq5oVSSaWxhs5WtLI6hTHitUdCUKcSXljJ7e9Mnj+5B9uiUWvVfH+GWTHry/MdVmiEb1Gxa6cGt7eW8jOAfuI9NFx37RAbprgj1ohI7+mlfcOFLE+tVQkHGqFlJsn+HNXH8EbCjabjYyyZrb06Y/ObGkH6TXM73N8n2x2H3SYpKali6+OV7AxvdxusSKTSpgequfGOD8WxHjjolbQ0d0rust/m1Vt5/ll8hCsF26d6E9WZQsfHizm64zKQY873FvLXVMCuW6cL+7OCtKKG3hnXxFfH68QtWQGnYoVSWbuTBKiZfJqWvk4tZQNaWV2FcAIbx1L4wO4aYI/lU2dvLYrj6+OV4ifeay/C4/MDGFRrM8lH6b57GgZP99wnPbuXvRaFS/eOYGpIafvN/0mxH/6Opteq43rxvnSZbGKcSs/WhDOA9ODiPm/0wbIL945kT05NXx02H646NaJ/qycYubWl/fhopaT9usFIz4cNEaWRhEjTZZsNhtBP//qrI/pJ0wl9e089O5hh5vbYLgz0cSuUzWDioBNHs68vGISsf7CRaympYu73zpIVkUzOpWch2YGszG93GEa6kxcP96XbdnVdqGPs8K9mBGm55UdeeKFaHqonl9dH0Wkz6V//y4lLL1WDhc1CBWkE1V2751cKmGSyR0XJwVSCZwob3Z4b8cHuBJv9kAhkwgr3CHCU0cTP74mnMdmh1Lf1s2uAbEiA1utEglMNLqJ1aPRiBUZg4C8mlY+SClmfVqp2NqRSSUsiPJmeZKJ6aF6Kpo7WX2giA8PlYitmP7olLumBKLXKvngYAnrDttXrOZGeosam8feTxs0DHlhjDc/nB/Op0fK+Ohwiej23h8EvDLJzJQQT/Jq2li1r5D1qacrHR4aJcsTTdw1xYy3i5r2bgufHinn3f2FdteoyWZ37p5iZlGsL0q5lM6eXvbn17E1UyAsA4mDVCI8vj9QOWSIVk1Tew/fnKhgY3oF+/JOu2lLJEIszw1xfiyK9e2rbHSxLauazZlV7MmtsZMi6NRy5kYauHVSAB7OSj5OKxVF0GfCSSHjybmh3BjnJ+Zifp4uvN6BVax4szv3TA1kYYwPnZZevkivYH2qvVmpm7OCmyf4s2RyADF+LuzOqeW1XXl203wzw714ZGYwU0M8R3SxmVvdyuOrUzlV1YpUAs/MD+eJOaF214CN6eX8cO1Req02bp3kj4ezUvSNunWiP0/MDWXeP3aKj//8yWl8nFrKqv1Fdvt6deUkfr7hOA3tPax7dAoJgR4j9rpgjCyNKkaaLAEse22/nRZIIZM46GB+tCCcV3fmOaRRD4ZrY3z45oSwInJ3VmDps58H4eL4t6VxDtWC5s4eHlx1mIMF9ajkUl64YwJFde288G3OOfcZ4qVxyAr77IlpfJVRwdt7CunutSKVwLIEE89eE47+AvrsI4XOnl725NSy6UQl32bbu2OrFVLG+builEuxWuFYaaNdi0qtkDItRI+PqxqpREJmRTNHzjBgVMmlQ048jhS0KvmQrd1+DIwVmRHmdVV46HyX0dnTy9cZgph7oNDa5OHMnYkmlsYHoFXJ+ep4Be/uL7LTt8T6u3B3ciALY33YeUoIbR0ovA1wdxK38fnRcv7fl1kO+1fKpKx7dAr5ta28f8A+CDi4T7ezZFIAAGsPF7NqX5G4WJBLhTbT/dODmGB0w2azcaiwgXf3F/JNRuU5LS2clTJmhnkxP9qbORFeQ+pw2rosbMmsYmN6ObtyauyukROMbqJZpI+rUMXZklnFlkHa5v5uTiyI9mZBtDcmD2e+OFbBX75xjJ3qxyOzgrl5gj9RvsL1v6yxg/cPFPHhwWKRXKrkUm6a4MfdUwKJ8nVhX57QZvsmo1L8/sukEmaHe7FkcgBzowxIJRK+PFbBa7vyRSsHmVTCDeN9eXhmCNF+o7e47Oju5TefZYhWMzPDvfjX7XF2n8VAwrR0cgBxRjf+7/MT9FptJAZ6cPdUs50n2L7n5rJqfyGv7TwtgtdrlUT5CuTwiTkh/GRh5Ii+rjGyNIoYDbLU1N5D3O82X/R2xvm7UljXRkunRSxBn6pqoaKpE7lUwnOLInlgetCQq5TOnl6eXHOErVlVyKQS/nLbeKaGePL7LzKHLEefDXf0Gau9vCNXNFTTquQ8MSeU+6YFXrbR8sb2brZlV7P5RBW7cmrsyKCbswJTX3utq8dKVmWz3YXWoFMx2eyOSi6lp9dGSkGdXcjt5YC/mxM6tXxYFUelTMrrd09mRpjXVenM/H3AycoWPjhYzMdppXY6moUxPqxIMpMc7MHxsibe3V/E5+mnJ6zcnBXcHi9Mp3X3ClNw61NPi7Xl0v5tmNCq5dz4372D7v/5G2NICPRgdUoRnx4pExcIaoWUG8b7sTLZTIyfC1uzqnhrT6EYuwHCNOZ904JYFOtDUV07a1KKeWuvo3M1CCTs19dFM6Uvy3AwCG7a1WxMr+Db7MHdtG8Y74e/uxNHihtEgnSml1isvwsLonxYEO2N0cOJbzIq+ffWnCHtN5ZODmDJ5AASAj2QSiXiompdaglbMk+3RftNO+9IMNLY0cP61BI2pJXZheeGGbQsjQ/g5gn+GFzUtHVZWHuohDf3FIj7d1bKuCPBxP3TA0WX7cuBjw6X8JvPMujsseLjoua/yycSP6D6szG9nB98eASrTXiPro/z48nVabR0WQj0dCYpyJO1h097B2Y8v5Aff5QuLt4HIsbPhS+fnjGir+c7R5bq6+t56qmn2LhxI1KplNtuu40XXngBrXZotXxnZyfPPvssH374IV1dXSxcuJCXX34Zb29v8TFPP/00e/fuJSMjg6ioKI4ePXrexzYaZGk4rbhzYeA0VFyAK5PM7nxwsJjOHiu+rmr+u3zSWSfr+mHptfKzj4/zcZqwwvjVdVE8OCOYnadq+L/PMi7IkPHpuaGMC3DjxW9zRL8Wo4cTP18UxaJYn1HRM5XUt4sX0oOF9eJEEIBeq8LNWYFMIqG5s8fuQgfCWLKPqxqZVEJtaxfpZ0R9nE92XJzRjfyaVgfR9WhCo5RxR6KJ+6Zd3gvzGM6Oju5eNh4rZ3VKsZ0je7CXhuWJJpZMDsBqE25w7+0vsptOm9M3nZYU5MFXxytZk1Jk1wYK1mtYnmTi2lgffvPZCTtn5n7MCvfir0vGszmzysFraJy/KyuTTdwQ50d+TRtv7y0UzRPPB6EGLXclm7l1kr8o2O7ptbInt5aN6eVsPlFlVyUN0mv6CJIvAe7OQ+qPFDIJycGeXBMttPO8tCp259byv135QxpGzgz34q5kM7PCvVDKpTS197DtZBWbMqrYeapGbD+CILi/Z2ogyUGefJ1RwfrUUju9lKuTgpsm+LFkcgDj/IU8vpqWLlbtK+S9A0WiG75eq+S+aUGsSDJdMRPE2ZXNPL46jfyaNmRSCT+7NoKHZgSL1+kzCdODM4J5YNUhShs6cHVS0NNrFRegAe5OvLJisp1h8kAc/MU8DC4jF3f0nSNLixYtoqKigtdee42enh7uu+8+EhISWLNmzZDPeeyxx/jyyy955513cHV15cknn0QqlbJ37+nV0tNPP01ERAQpKSkcO3bsiiVLAE9/cITPh3DnHS40ShlPzQvjVFULG9IEg7SZ4V78e9mE82qzWK02/vR1Fv/bLawIH58dwk8WRtBlsfL6rnxe2p57Qa2lJ+eE4q5R8vquPHGSJzHQg19fH824gKFFoBcCUaDdR5CyzhCO9hs7yqQS6lq77NprSrmUGD8XVHIpUomEU1UtF1w9Usml+Liq7XK3QPisYvsiQoYDHxf1oGPhQyHYS0Nje4/YVlTIJKjlMnqsVnF1LpNKWBTrw8Mzgxkf4DbsbY9h9JFR1sSag8V8NqDSo5RLuW6cMLU10eTO9uxqVu0vHHI6rayxgzUHi/gkzX4b14/zZXmSiayKZn49SMgrCBqU7r48ui8HeC1JJcJiw8dVPeS0GMDb9yUwJ8IACJWz9w4U2h2HSi7F5OGMm7OC3OpWsb0Fgui8P27E20XNtuwqtmRWD6k/WhDtzcxwL3QqOSfKm3lvf5FdtWMggr00PDE7lIWxPmhVciqaOvpsQSpJya+3ayH6uzlxTYw3yxKM1LV2sz61lK8zKsRjkEqE6+3SyUbmRRnEall+TSv/213Ax2mlYhUwWK/hwRnB3DrJ/4o0b23tsvDLT47z2VHhnjQ/ysDfl8aJhO7z9HJ+OIAw/eTaCB55T5h0OxM3xvnR1mVxGAgCIZT39njjiL2O7xRZysrKIjo6mkOHDhEfHw/AN998w+LFiyktLcXPz8/hOU1NTXh5ebFmzRqWLFkCQHZ2NlFRUezfv5/k5GS7x//2t7/l008/HRZZ6urqoqvr9Ehuc3MzRqNxxMnSo++l8s2JykH9coaDa6K9uXdqIL/7IpPsypYhhXrDhc1m49Wd+WIvf26kgZ9eG0GkjwvFde38duPgq9FzQa2QsjLJjMVq48NDxeKF5tZJ/vx0YSQ+rhe+yujptXKwoF6sIA0ssUsl4O6sRCqVIEEIRB24CtZrlRh0auR9erGTlc12vx9MRzYUPDVKGjt67KpXUgmMD3BDr1Vhs9lo7uzhaEnjiHs0xZvdqWntEsmaRCLcmKw27ExGE4M8eHhGMHMjDWPi7isYrV0WPjtaxuoDxXaTYxHeOpYnmbhlkj+1LV1nnU4ze2r4/Gg5q1OK7KJRIrx1rEg2Ee3rwoo3UgZdEP18USTTQvU88l7qkC2sa2N8sFht5NW02plHTg3x5P5pQX3TsXC0pJFnP0p3aJn1Y2WyiVsm+uPqpGBrVvU59UeJQR4oZIKz/brDJfx7a86g25VKhHiY68f7odcqya1uZXNmFZtPVNp5LIHQ6rsm2ptrYgQy9XGaMM028LWHeGlYGm/klon+ePdVSdq7LWzLruazo+VszaoSj3miyY1HZgpTyFd6G9xms7HmYDHPb8yk22LF382Jl1ZMEl3CBxKm2+MD+O2NMfxk/TG+HGSw5bpxvnx5XPi5Ti0Xz8vrxvny0oqRsxD4TpGlt956i2effZaGhtMlTIvFglqtZt26ddxyyy0Oz9m2bRvz5s2joaEBNzc38edms5kf/vCHPPPMM3aPPx+y9Nvf/pbnn3/e4ecjTZZWvpHCntxabo8PcBi5PBt8XNT89sYYLFYrP1t/jLb+EdA7JthZDlwoPjxYzC8/zaDXakMigRvG+/HMgnACPQXzsec3Zp4zdmMw6FRyFsb6UNfaJQY2OilkPDorhIdnBuOkHN5qq9+4bvOJSrZlV9tNefVXU6RSCVabzaH15eeqRtUXBtkwoApzIVArpA6Gn4GezqJIs9ti42hJo4PXldHDSfQ88nZR837fTW448NAoh33MkT5CNtbAVoq8730ZSAqDvTTcPy2IWyf5jxlOXsHoj+1YkyLolvrPPSeFjBvifFmRZCbUoOXTo2W8t9++hRZvdufuqYFcG+NDVkUzqwfZxk0T/Lh1UgDv7CsQ9YbDhV6rYllCACuTzZQ2dPD23gK+yag87xbdUBioP4ry1SGRSGjp7OHLYxX84pPjQ+7nqbmh3DYpAJOHM0dKGtmcWcmWE/b6JokEJpvcWRgjbF+vU/HVMaHNNlCbpVPLuTFOaLNNMLohkUjE6snXxyvYfrLa7nowP8rAI7NCiDe7X3U2KhllTaK9jEIm4ReLo7h3aiASiYTPjpbxzNqjImH6063j+es32UO6yoMw7ThwgCD3D4tGzELgO0WW/vjHP7Jq1SpOnjxp93ODwcDzzz/PY4895vCcNWvWcN9999lVgAASExOZM2cOf/nLX+x+fjVUlm767x6HVc1w8Npdk9mXWyuOaCYFefCfOyde0j5wXk0r/9pyShyFl0klLJ0cwNPzwnB3VvLf7YOb4A0HWpWciSY3yhs7xIk6X1c1P702gpvi/AetclS3dLI1s5otmZXszbU3rpNJBadyqUTwCBlYuVHIJLioFeJjqpo77S6sSrn0rJEu54Kbs4LEQA80KsHwLr+21W6kGAQh55RgT2aGexHspaG8sYP9eXXsy6uzi8UYCkqZlB6rVVyp6rVKUQ8xHHhqlBhc1OTXtJ61lapTy7k93sjdfZWIMVy5aOroETLHUoo4VXXa7iPGz4W7ks3cPNGfY6VNrNpfyKYB02l6rYrlSSaWJ5pwUsr4JK2U1SnF57QMORPrH52Cn5sTHw4S76JVyYn2deFYWeOQ6QF3Jhq5ZWIA9W3drE6x930aiJ9eG8EtE/3xdXUSI0x259Twv90FQ57/y+KFIZNwHy378+rEtvzAxytlUqaFerIwxod5Ud54apQcKKgT2mzHK0WtklQCM8K8RANKtUJGa5eFb7Oq+Op4BTtO1th9p8yeziwe58ttk/wJNTgG+V5NaO7s4Wfrj4mDPotiffjLkvG4qBV2hGlZvJE/3BLL0tf2D9qSA+E6e9skfzFE/u17E5gTaRiZ474ayNJzzz3nQFrORFZWFhs2bLiiyNKZGA3NktVqs3NBnRPhxbRQ/aAjvv0YrF33+OwQfrQgfMRY+onyJv65+ZTYe1bKpCxPMvHEnFCaO3v49acZDuLJ+VEGtmadu12nUcowuKipaekSBZ1xAa785oZoJps9+krllWzJrBrySziY0FomlaCQSZBLpfRabXYizf7f917gklcpkxIf6I7Z0xmrVWjtHcivcwgfjvYVYkeifHV0WaykFjawL7/WLqMKhItIvNmdqSGeTAnRMz7AleqWLt7YnS+K9UEgXM5KGe3dvaKQ0kkhQ6OSD9ulHQRxbV1rl50+5Ez0i4XvmRrIjFD9WIvuCobNZiO1qEHQFR2vEIm/u7OC5Ukm7koORCKBNWc4TMukEq6N8eH68b60dFn46zfZQ2r0zlb5fnx2CIlBHvzui0yHmJx+hHtrqW7pGjIupB9KmdRuEdQPP1c1IQbtkIQKYFqoJ4/PDiXW35XdOTVsOlHFjuxqu+ulTiVnTqSBhTE+zIrwQquSU1zXzsdppXycVmoXEh2s17AkPoBbJwbg46qmubOnjyBVsvNUjd0CK0ivYfE4HxbF+hLj53LVVZHOBpvNxqp9hfzhqyx6em2YPZ15abng13cmYbp3WiA3/GcPFquNcG+tHYkHuHdqoOhnlRjowUePThmRY74qyFJNTQ11dYNPHfQjODiY999//4pqw52J0SBLu3NquOvNg+f1nJ8sjOBvm04TzCfnhPLjhRGX+tAGRWpRA3/fdFI0uXNSyLhvWiCPzAxhV04NT31wxO7xt8cHYLHaRNH52aCQSbDauGACMxBDkaeL2Xakj45IHx0KmZTevpvTmeJtT42SGWF6xge4oZBJyKluZV9enV0+FQhtsDijWx858mSSyX1IsWd9Wzfv7C3gnX2FYqvRzVmBh0ZJZ3evmGIulYCLk+KcN6OB8HNVY7VhJyCXSITjG1iZC9ZruGuKmSWTAwaNmhjDlYOGtm7WpZY4+CEtGufLfdMCifVz5euMCn6x4bgDue/HYJVWpUzKDXF+3DXFzNt7C0QB8HChlEsJ8tSgUkiHFITfGOfHH26JRSGTsi+vlp+uP3bOAYsQLw0/viaCcQGu7O7zTdt3RtXZoFOxoE9/NCXYE6VcSluXha+OC222gcMWOpWc6/vabJNMbjR3WtiaWcXXGRXsOlVrt91gLw3XjfNlUayv2Bb8LuNoSSNPrE6jrLEDpVzKb2+IYXmSyY4w3ZFgxF2j5JUdeRh0KvzcnOy8wc5E4Z+vG5FjvSrI0nDRL/A+fPgwkydPBmDz5s1ce+215xR4f/DBB9x2220AnDx5ksjIyIsWeJ+J0SBLqUX13PbK/ovahlYlZ9X9icOyB7hU2Jtby982nRS/BDq1nEdmBnN7vJG/bTopGpz14+PHpvCHL7PsRpivdHi7qAj31iGXSpBJpeTXtDoIUuVSCZPN7kw2u+OkkNHY0cOB/DoyK+w9miQSoTUyNUTPlBBPEgI90KrOTxfU2mVhTUoRb+wuENsdbs4KgvQaeq02uxvQYDqqs0EuleClU1HZ3Cket0ouRdG3yu+/cWqUMm6dFMA9U81XfXvhuw5LrxBN8dbeQg4Oc/KyH/dODRQE4R7ObM6s4o3d+ef93X3/gSRqWjuHDPw2ezoz0ehGeWMnx8uaHCq/w8E/lsZR19bFphOOAvBgvYZrYny4JsabCQFugn7RauNgYT3rU0v56niFWJ2VSIS0gSWTA1gY40NXjxBL83VGJbvPMMEM6SNIi8f7EuH93SdIZ6KxvZsfr0sXuwZ/XxrHkskBfHqkjB99JBCmWyb6k1YsLCZvneTP1swqh5D2fhz85Ty7XLpLhe8UWQLBOqCqqopXX31VtA6Ij48XrQPKysqYN28e7777LomJiYBgHfDVV1/xzjvv4OLiwlNPPQXAvn2ns5Byc3NpbW3l1VdfZfv27axduxaA6OholMrhjdKPBlmqaOpgyp+2XdBz750aSGZ5MwcL6y8LYbLZbGzNquYfm0+KIlJPjZLHZoeQEOjBTS/ZG98FuDvx/I0x/HDt0cvqNTQUnJUyzJ4aFDIJCpmU2gGTZP2QSITW2gSjG0q5FJtNcPdOL21yqFqFGbRiWy052OOSeal09vSyIa2M13blicenUcqYHOiBTAJ78+pEcnM+PlD90GuVNHdaxG0IbT4ZvVabXdtueqiee6YGMjfScMVP93zfUNfaxaHCBg4X1nOoqMHOq+lMPDM/nIWx3uzNreP9A0V2U2wgtPJUctmQ9hUhXhp+tCCC331xwi7gdzjw1CgJcHc6p2YzxEvD9eP9kEklvL4rf0iX+rgAV66J8WFhjLdI5utau9iTW8uuU7Xszqmx01UF6TUsmRzALRP9cVbK2JwpaJD25tbaEaQwg5bF43y5brwv4d5jiwSbzcafv8nmtZ35KGVSPnwkmUkmdzvCFOjpTGFdOxIJ/HvZBH7w4dFBt/W3JeNZOgIWAt85slRfX8+TTz5pZ0r54osviqaUhYWFBAUFsX37dmbPng2cNqX84IMP7EwpfXx8xO3Onj2bnTt3OuyvoKCAwMDAYR3baJClXquNkF9cuCllqEFLY3sPta1daFVy3n0gkUmm0SNMIOiuvjhewb+2nBIvtL6uap6cG0pudStv7y0c1eMZLqQS8NSqUMqkyGUSui1WB1NKqQRi/FyFypFSRo/FyonyZlKLGxzaFCYPZ7GtNiXEc0RWSwNh6bXyVUYlr+zIE72k5FIJiUEeKOVSTpQ3D1v8PRiclTJsNsQVv1ImxUunQi6TUFLfLpKwAHcn7ko2syzBeMWY632fYLPZKKpr51BhPYcLGzhUVD+obsjHRQjXzqlutRc5y6XcFOfH7QlGmtp7+PM32Q5t436Ee2uZbPYgr7qVjPKmYUUw9cNTo+TZayL401dZF2SR4qFRIpMOPdAQpNfw/I0xJAd7klrUwO6cGnbl1DgMWmhVcq4f78uSyQEEe2nZklnJl8cr2Zdba+etFOGtY/E4XxaP8yFsjCA5wGq18djqVDadqMKgU7Hxqel4u6j55Egpz36UbrdICzNo+dX10dzzlqPkZKQsBL5zZOlKxmiQpVX7Cvm/zwc3g7sQ6PoI08RRJkwg3Lw/Tivlha05oo7G5OHMlGDPIY3hRhtSCShkQntJIsGhwiWTSoj1cyEh0AOXPkfa42VNHCyod7gxeLuoxLbalGBPjB6XxxHbZrOx42QNr+zIsxtxjvDW4alVUt3SNeTNb7g4s60X6OmMSi6joqlDLK/3+/ncPSVwVLOtvm+w9FrJrGg+XTkqbBhU3B/hrSM+0J2EQA/iA93xd3MSW0bdFiufHi3jp+uPnde+lTIpE4xuRPu50NTRwydHBtciTja7E+PnwrtnhKkOB39bMp7rxvvy6s58Xvx2cL+kpCAP7kw0YfJ05oOUYoe2/5mI8nVhZphenETdcbKGr45XsC+vzq4iHOmjEzRI43wJNQydIjEGAW1dFm59eR8nq1qIM7qx9uFk1ArZoITp2QXh/GPLKYdt6NRyjvx6wSUfThojS6OIkSZLPb1Wwn759SXf7uUkTCB8gX649ihbMqsuy/7PBzKphPEBriQGeaDXqOjutZJe0siB/DqHHru7s0IkR1NDPAnSa644vUJGWRPv7i/k06Onc8M8NEqC9Rq6LFYyypu4mCuDXCpxcDbWa5W0dFrs9FyJgR7cMzWQa2K8UYzQhOb3BW1dFo4UNwqVo6J6jhQ3OhB3pUxKnNGV+EAPEgLdmWRyd6jyWa3CyP2+vFr25NYOugAYiCfmhPDA9GDyalr57ecn7EwsLxUUMgl/XTKe7dk1551i4OqkINSgpaq5026CbSCSgjz457IJqORSNp2o5KvjFRzIt488ivZ14brxviyK9SHYa4wgnS+K69q58aU9NLb3cOtEf/5xexwSiYRPjpTyo4/SxeuNUibFU6sctHqf8fzCS+7tNkaWRhEjTZYeevfwiBEKnUrOew8miY6rI42zGUReSVDIJIwPcCMpyANfNye6enpJL21if16dw+pcp5KTFOzBlBA9U0M8ifDWXTXj8/Vt3Xx4qJj39xeJVT6ZVCIaVBbWtg05CXUhcHNWEO6tw2azkVbcKN6MfFzUrEgycWeSCf0QifJjsEd1SyephQ0cKmzgUGE9mRXNDno4F7W8jxgJ5CjW33XQacqS+nb25grkaH9enV2GGgitsamheqaHehLspeXzo+W8d+D8q0HDwfkOHfRjdoQXf18aR151K89tOO6gqepHUpBHX/5iGwcLHBc7AxHr7yK02GJ9CdSPeYldLPbl1nLXWwfptdr45eIoHpoZDOBAmFRyqYPH20jZB4yRpVHASy+9xEsvvURvby+nTp0aEbKUWd7M4hd3n/UxIV4aXl4xmTCDlifWpImmYOeDz56YRtwIEaazGUReKVDIJEwwupEc7InZU0NnTy9HSxrZn1fn4D6uVkhJCPToqxzpifVzGTHfqtFC/0TUO/sKOZB/ukXn7+aEk1JGY3v3BWffDQa5VEJ8oDAZeLysSdy2Uibl+vG+3DM1cMTOx6sRNpuN/No2sZ12uLB+0MBqfzcnEgLdRYIUZtAOStzr27rZn1fHntxa9ubWUlxvvy1npYykIA+mheqZGqJHp5aTVtzA4cIGDhc1kF3ZfNbK46OzQpgfZeCLYxWiV85woVPJuWWSP5NM7ry7v3DI6Tp/NyfiA93P25rA5OHMonE+uKgVfJNRKQZ3D4RaIWXtw1PGzsERwDt7C/jtxkykEnj7vkRmhXsB8MTqNDHuZDBMMLrx6RPTLvnxjJGlUcRIVZYqmzq5+aW9Zw1HvTHOjz/dOg7NgPHyLZlVPPTu4fPe3+dPTrtkYam51a1syaxic2YlR0saL6qlM9K4d2ogoQYtJ8qbScmvcxj7V8gkTDS6i221CSY3VPIrL9jyUiG7splV+4r45EipuMLXqeS4a5T09DqK2y8WE01u+LqqKW3osLM1iDO6ce9UM4vH+X6n3+/B0G2xcqK8SRBiF9ZzuKjBIbZGIoFIHxeRHMWb3fFzcxp0e+3dFg4VNrC3jxyd2SqTS4XFwrRQPcnBnqgVUtJLGjlcJBCkwa5BRg8n4s0eTDK702MRdIjn24Lz0Ch5ck4oycGe/PmbbHadqjmv558Lr66cxLWxvpQ1dvCPTSfZMIR2KtJHR7fFSnF9u9g+dlbKuDPRxEMzgi8qj3IM9rDZbDz38XHWHi7BRS3nsyenE6TXkFbcwK0v7xvyefOjvHnjnvhLfjxjZGkUMVJk6f99kckbewpwUcvxdlE7RAxcN96X/945cVA9TF5NK8teO3BOt+Z+l+d+rH4wiWkXkBdntdo4UtIgRgUM5c57NUAqgXH+rmJbLT7Q/XuZgdbU3sNHh0t490Ch6CQukYC3Tk2vzUZ9W/clMQbth8nDmYkmN9q6LHamfnqtkjsTTaxIMn9nb1otnT2i3uhQYT1HSxyjP1RyQTTdL8SeZHbHZQjjz/ZuC5nlzWL1KK24wSGQOdJHx9QQPRNMbihlErIqWjhcVM/R4kaH1qtMKiHGz4XJZnfizcL+XdQKUgrqWHuoZFjV7KfnhrI03kiXpZfffp7JntyhHbYHwzh/V9QKKYcKG4Z8zEMzgjhe1mRXHR0OHpkZzIMzgvHQKPk6o4KXt+eJIcQKmYRbJwbwyKzgMa3SJUKXpZfl/0shtaiBEC8NnzwxDRe1gltf3jtkJfG+aYH83w0xl/xYxsjSKGKkyNKB/DpWvJEy5A0p74+Lz+pb09pl4a43U4aM/uhHcrCH3cXlp9dG8Pjs0HMeX7fFyt68WjZlVLI1q/q8YjSuVCQGefDyikljupkB6LXa2J5dzar9hXYREjq1HKlEQkdP70Xl5Z0JJ4WM6WF6lDIpqUWnqxpyqYSFsT7cOzXwqgwbHYiq5s7TI/yF9WRVNDv4XLk5K4g3e4iVo1h/l0ErbC2dPWSWN5NR3kxGWRMZZU3k1bQ6bM/fzYlpfZojhUxKUV0bhwuFltqZj9Wp5Ew0uxNvdic+0J0JRjfUchmZFc1sPFbOazuHDkHth0GnGlaW4WD4xeJI6lq7hwxbdVHL8dAoB21FgkAEBwYDD8RPr43gxjg/Msqa+c+2HLEaplZIWZ5o5pFZwRh0KnaeEiZH+127JRIh76w/JmUMF4fqlk5u+u9eKpo6mRtp4H93x7PpRCWPr04b9PE/mBfGMwvCL/lxjJGlUcRICryHsgy4dZI//7x9wjmfb7XauPutg+dcxd2ZaBRDCwEmmdx4/8Ekh4pKt8XK3txavjxeweYTlVesQPtioFPL+b8bYrh+vO+Q0SLfV+RWt/Lu/kI+Ti0Vqw/9uXoWq9WhenGxmGB0w9tFuOkOJP3Rvi7cM9XMTRP8r/jPyGq1kVfTOsD8sd4h8w+Eylr/CH9CoDvBeke9UWN7Nyf6SNHxsiZOlDcPKWQ26FRMMLqh16lQy2XUtHaRWlgvCvkHol//09/O6zdUzKtpJaWgnhe2njqnZu2uZDPXj/fF5OlMekkTqUX1HCw8u9HlQzOCmBLiSVtXLz/fcHxIE8kzoVHKWBpv5NpYH9KKG/jrNyfP/aQ+6LUq7psWyIokE65OCrafrOaFb3PF41TKpSyLN/Lo7BD83ZxILWrglR25dvmVM8L0PD47lORgj6uatF9uHC9tYsmr++iyWMXc0tl/3zHo1OKvroviwRnBl/wYxsjSKGIkydJnR8sGdTT9fzfHsjLZPOzt3P7qfjtvncEwWM7Tx49NZZy/K3tya/jyWCVbMr+bBGkoPD47hJXJ5iG1IN9XNHf28HFqKe/ut3dyvthcvaGg1yqZYHSjp9dGSkGd2KJyc1aIqfGXy7/qTHRZeskoaxLJ0eGiBoccPqlE8PRJ6BNixwe64+1i32Ksbe0io48Q9ZOjoUbf/d2ciPFzIchLg6XXRmdPL8X17RwpbnQgIFIJRPu5iO20eLMHeq2SvJo2jpc1kV7SyNpDJeccxJgV7sWKJBNeOhUnK1s4VNhAatHgwnMvnQoXtZy8C2zP/+b6aG6d5M/LO/J4fYhq09mw6v5ETlW28NbeAlFz56SQsSzByP3TgjB6OLE7p5b/bMsR23wKmYTbJgXw+OxQTJ7OZFc28+qOPDYeqxDP8YkmNx6fHcq8SMNVMwF7pWHgPe7FOydS09LF77/IdHjcX5eM5/YxB++rGyNFltKKG7jj9QODtjjevCeeeVHew96W1Wpj/r92XvVaIqVcilImxWK1ndMVeILRDZ1azp7c2osWmF8b48M9UwPHVpJnwGq1sSunhlX7Ctl+8tKKcweDTCohIdAdlVxGbnWrOKkolcC8KG/unRrI1BDPUf2Mmjp6+ibFhEm19JJGh7FntULKRKO72FKbaHITg4ZtNhtVzQIxyihvIqOsmRPlTUMK6U0ezozzdyXG3wW9VkVnTy/5NW0cLqonq6LFgaxqVXImmtxEcjQuwJWKvpy11KIGNqSVOhzvUPt9aEYQbs5KShraSS1sILXYkQjCaQfvhD4yZvRwornDwp7cWj5PL2PTicGtUMK9tTwxJ5QIHx2fHinn1Z155zyugfjVdVEsTzLxk3XHBp2semXFJDotvby+q0B0s5dKYFGsLw/NDCYuwJUD+fW8+G2OGAIuk0q4eYI/T8wJIdhLS0l9O6/vymft4RLx2hzureXRWSHcEOc35hd2Afjz19m8ujMPtULKO/clcs9bBx3OyV9fH80D04Mu+b7HyNIoYqTI0vL/HWBfXt2gv3t6Xhg/Os/+bWN7N3P/sdNuquZMgffVBCeFjPEBrrR0WkQx5pno1320dvVwuLDBzijxQhDhrePuqea+jKjvn+j7bCiobePd/YWsP1x61pgKqQRUctkFBaIORLBeg7+7E82dFrtWT6hByz1TzNw6KcBuSvRiYbXaKGvs4GRlCyerWjhV1UJ2RQunqlscyLinRjnAFduDGD8XFDIpNpuwDUFb1CySo8H0fhKJEM0R6+fKOH9XonxdkMsk5FS1iFNqZ9paAPi5qoV2WqA7E43uSKWCBUlKgRAMO1wE6zUsHucrWkccLmogo6zJodWqVkiJC3ATq1STTO64Oiuw9FpJL21kZ1/WWnpJo5026lx5hIN57QzE/7s5llh/V9YeKrEjfN4uKu6eEsjyRBMvbc/ljT0Fgz430FPD67vz7SbwEgM9eGhmMPMiDaQVN/Ditlzx91IJXD/ejyfnhhLuraOmpYu39hbw/v4i8XwPcHfi4b6g8Cu9PXwloddq48FVh9h+sgZfVzWtnRaHa8i8SANv3ptwyfc9RpZGESNFlj5OLeXZdYMncQMU/Gnxea+gj5U2ctsr+y65tmQ0EOjpzCSTOxPN7kw0uhHpoxP9jWw2G99kVPKPLacGjezoH7PutvRS2tAxrJX02aBTy7k93sjdU8yYPcfM6gaircvChrRSVu0vOmd8iodGSXNHz3mRWKkEJJLT7T5npUCabTbBmbxfS6VTyVkSH8DdUwIJOg9DQZvNRnVLFycrBUJ0qqqFk1Wt5FS1DLmwCNJriDefjgwJ0muw2aC4vp3jfRWjE33kaLBKjFQCYQYdMf4uAjkKcMXs6UxuVatAjIoaOFLU4HAD6W/nxZvdmWByw9VJQW1rN7tzatl4Hk7XPi5qrhvvi0YpkNi61m7SihuGbKnFm92FybhAD6J9XVDIJJTUd4ivNaOsiaMljQ4xQWEGLTPCvJgZrifK14WMsiYOFtbz5u6CIc+BSSY35kYaqG0VvKFOVrWIr/3aWB8enhmCycOZNSlFrNpfJGbCqRVSlkwO4L5pQWzPrub/fZnlsO0n54Ry3Xhf3thdwOfpZeJ1MdhLw0Mzgrlloj/ZlS3859scvs0WNEv9Qu8n54QR7edCc2cP7+0v4u29BaKuS69Vct+0IO6aYh5yYnEM9mju7OHml/YO2f0IcHdiz8/mXvr9jpGl0cNIapYeXHXITlg4EAMdUM8Hq1OK+OUnGRd7aCMKjVJGnNGNiSY3gSCZ3PHQnDt8tddq49MjZfz721ODimhBmKTptdrO6kw9XBdhiQRmh3txz9RAZoZ5jekWBsBms7E3t4539hXybXbVWVuheq0KtUI6pCZnKGhVcjtNTrSvCxqVkHw/8POfFe7FvVMDmRVu/xk1tHUPIEQtnKps5WRVC00djoQGBNPMEIOWcG8t4d46wr11xBld8dSoKKhtJaOsWSAMZU1kljcPWmFTyCSEe+uI9XMl1t+FGH9XIn101LV2c6y0icNF9aQWNXCi3NGRW6OUMdEkTKe5OimQSSXsy6tja9bwHf6D9RquG+9LmLcOq9VGeVPHsFpq/ZNxRndnCuvaRIH58dImTpQ3DapldHNWMD1Uz8wwL8K8tZQ0dHCoQLBHOFnlWJEbDGqFlFsmBnDftEDCDFr259Xx2q58dg6sCAV58MjMYKaF6vnyWAVv7imwqzbPjTTwwPQgGtq7eXLNEYd93DrRn2cXRvDu/kLWHCgWPze9VsndUwJZmWymvLGD/27L5ZsTp20S5kd58/S8UMYHuNHZ08u6wyW8titfPI91Kjkrks08MD0IL93YhO25kF/Tyvx/7hyy4nghBYJzYYwsjQJGw8H75xuO2U2pDYREAm/dk8CcSMM5t9PZ08uuU0Io5Kfn6Xg7Ggj20jDR6M4ksxsTje5E+OjOaotwLnRbrHx0uIT/bMuhqvnCLQ30WiUN7T3DEi0H6TXclWxmSXzA2GryDJTUt/PegSI+PFh81gEBF7UcPzcncqpbz0so7qVT2fk+eelUGN2d6O61cqLc0W06LsCViqbOIUfbpRII1GuI6CNEET7C34GeztgQpgL7xdfH+4jRYG1FpVxKlK8LsX4uxPa10pyVMorq2smpbiGnqpWc6hZyq1sHJee+rmriAgRipJBLyK1uPS8Pof48s1h/V3xc1BTUtpFaVD/sllqc0Y261i4yyps4XipUxjLLmwedWlPKpET66oj1dyXWzxWtWk5bl0W0RzjTJRyE70xCX7syMcgDk4czEomEzp5eNqaX8/beQjvSMy3Uk/unBTEnwsCp6hZe35XP50fLxapUqEHLwzOCuWmiH2lFjby5p8COqEf66HhgehDeLmruHiTZPjnYgxfvnMjnR8t5a0+BODmoVkhZOtnIA9OD6LT08t9tuXx5vELc7uwIL56aG8Zkszs9vVa+OFbOKzvyOFUlVFaVcil3Jhh5al7YmC3JOfCDD48M6co+RpaucoxkZam6uZPnNhxnW/bg1SWtSs6Gx6eKo74D0dnTy84+gnS+kQAjCa1KzgSjG5NMbuIq2X0YVaMLQWdPL+/tL+LlHbk0DLJqHi4EUbn1rBqLfjgrZdw6yZ97pgQSNsjn8n1GR3cvnx4tY9W+wiF9cEDwVIr1d6XLYhWFuMOBh0bp4HR9LgS4OwmkyEcnkqNgLw1qhYwuSy+nKlvF1lJGeTNZFc2DDl04KWRE+7kwrq9SpFMrsGGjsLaNnOpWTlW1klfTOqQnlVImJVDvjE6tQCqBkvqOs7r3n4nJZncWj/MV9u+ro7q5s4+onH1Krb+lNtHkhlImI7uyWXytQ5FAlVxKtJ+LnZ7KYrUOMNZscNBhDZwATAwS2pUG3dlNRm02GwcL6nl7byGbMyvF71+gpzP3TA1kyeQAWrssvL23kDUpxSKJM+hU3DstkBVJZurbunl7bwHrDpeKr0WvVXFXspmEIHeW/y/FYb8mD2fWPzqF/fl1vL4rX/RikkhgYbQPj80OQaOS8/L2XD5LLxdJ+rRQT56aG0ZysCdWq41vs6t5eUeuaHuhUcp4dFYID8wIGtM8DoG73zo4pJN74Z+vu+T7GyNLo4iRDtLdmF7OUx84lo77YfRw4rMnpuOhUdLZ08uOkwJBOt907pFCqEHLRKMbk8xCynmoQXtRVaMLQUtnD2/tKeSN3fl2rRG9VkVje/dFC7+HwtQQT+6ZGsj8KO9Rf81XMmw2GykF9azaV8imE5VnJaGRPjq0KjmHi4Z2br4YTAkWPqPpYXpOVbVwYoD4+lRVy6D6Pp1KTrSfi3BsajkquQyL1UZ+TSs5Va0U1LYNOXqvkksJ8dISqHfGZoOG9u5BHbvPhumhehaN82Gcvyvh3josVhuZ5c1CC28YLbW4AFdcnBQ0d/QIVaOyZrIrmgfV8jkrZcT4uRDj50qsv0COAtyd+uwRBC+ltKIGh2qTUiYlzugqkqOzOY4PB4NVJ7UqOUvjA7h3aiDuGiUfpBTz9t5CkWRqlDLuSDRx//QgtEo5HxwqZtW+QnHSUCmXcssEfxaP9+WZtUcdiLZCJmHrj2ZR1tjB67vy2TFg4nN+lIFnFoSjVcl5eXseH6eViteRxCAPnp4bxrRQTwD259Xx52+yxTgfg07FMwvCWTo54KrPlbyU2HyikoffSx3y92Nk6SrHSJOlR99L5ZsTlVw/3nfQRPB+XBvjY9dPv5xQyCT8bUkccyIMuDpfOS2phjbBFfidfQXizSncW4u/mxOZFc0X1bI7G/zdnFiZbOaOBOOIVdGuVpQ1dvB+303wYqp/w4VWJcfNWTFsfZSbs4Jwgw5nlQyVXCpUnHqs5Na0UljbNiTRdlLICDVoCTNoMXtqsCFYBAwWXHs2zI/yZvE4H2L9XXFzVlBQ00ZuHynLq2klt7p1UJuB/pbaOH+hJaaQSSltEATnJyvPTgLH+QvEKNbflSC9hrZuC6lFDaLeKL2kyYEMalVyJpvdSQwSvKPGB7iOyERYW5eFDUfKeGdvgejbJJEI01IPTA9mstmdjenlvL4rXxSDy6QSbhjvy8MzQwjz1vJ1RiVv7s4nfUAW4bxIA/dOC+TPX2cPmnH3+ZPTUMllvLYzj0+PlokEf/E4H56ZH45aIePVnXmsO1wqvjcTTW48PTeM2RFe2GzwxfEK/rYpW9TThRq0PHdtJPOiDN97S5L3DxTxm88yhlw4hRm0bPnRrEu+3zGyNIoYabJ0y8t7zxlZciVCrZBy26QA7p8eRMgVlqlU3dzJS9tzWXOwWLxpzInwYpy/KykF9WLEwaWGSi7lxjg/7pkaOBaZMAA2m43i+nb+sfnUFVMRBYj1d6G9q5ei+vYhNVQapYxQbx1hA4mRzUZWRTMfHS49r1bajXF+LIzxwVMrVIlzq08Totzq1rOSSYNORbSfCxqVHJVcis0G2ZUt5FS1DEroXJ0UxPZN3/UTI7OHM1KphOqWTg4VCFqjgwX1g0ai6LUqEoPcRWPNKF+XUa2e9nt8vb230E7s3W8UOTfSwO6cGl7flW9nwTIjTM/DM4OZHqontaiBN/cU2FU3Z4Z78eisYN7aUziocP7t+xIwujvzwrc5fHGsHJtNIGs3xfnxg/nhqBVSXtuZzwcHi8VK3Th/V56aG8qCaG+6e62sPlDMi9tyxOpfYpAHv1gcxQSj28i9YVcobDYb/9h8iv9uzz3r42L9XfjiqRmXfP9jZGkUMdJkqayxgzd3F/Dp0bLz1mNcKZgT4cWDM4JH3TDwXCipb+fFb3P4OK0Ua99F74bxfiwe58ue3Bo2pJVdEh8qd2cFCpnUTlA82ezOPVMDuTbGB6X8+1OKP98JtLPBRS2no6d3VKwwdGp5HyHSEeatJcxbh9nDmcaOHr4+XsEH5xCvn4nbJgUQ5atDrZDR1NEjEqK8mtaznnMB7k6EGrT4ujrRbbHSaemls7uXkoZ2cqsdM+FA0HIJwuvTVaMAdyd6em0U1Qmaqn6xeUZZ06D6JpOHMwmBHiQFeZAQ5EGgp/MV813OrW4VdEmppYMaRWZXtPD67ny+PFYuvj/Rvi48PDOY68b7UtrQwUvbc/nkSJlIiqeGePLk3FA2ZVSyan+Rwz7/ett4xhtd+deWU6LJpkwq4daJ/jw9LwyVQsr/duXz/oFiUSsV6aPjqblhLIr1oaXLwqs783hrT4FIqq4b78tPF0Z8b+xIenqt/HzDcQf/rzsSjHx4yH6w6bpxvry0YtIlP4YxsjSKGGmyBEKEwvbsGh59f+h+7qWAUiYl2EtDiEFLqJcwptsfkxLhrWNZgpEvjpUPmQx9LvRPo9w4wW/QUNDLhbyaVv615RRfHBNcf2VSCUv6qmL782p590DRJXE/99Qo6ejptbsZGnQqlieZWJ5kOqfg9WpCa5eFnH5SVNkqEqSzTaAF6TVE+OgIMwgTaK5OCj47WsZHh4dvpjhSmGB0Y0qIJxllTXaBwsNBYqAHIQYNyj7CnFvdSmFd25AkTy6VEKjXEOqlJdSgxdtFRZfFSnt3L3k1rRwva6Kgtm3Q0Xu9VsU4f5c+l29BY+ShUVLQJzTPrWoRyFH10G1EiUT4vve31BKDPBziWK5EVLd08taeQt4/UCRqqALcnXhkZjBL443UtHTx5p4C1h4qEQmMv5sT900L5I5EE/Wt3by8I5f1qfb6ox/MC+N4WRN//jrbYZ/PzA9nXpSBf245JQ7iyKUSbk8w8tTcUJQyKW/uKWDVvkLRriTUoOWpuaFcP96PquZO/rXlFOvTSrHZhOeuTDbz1NxQPL/Dk3NtXRYeW53GrlM1yKQSQr20nKxqwc1ZwROzQ/nDV/a+WM8tiuTRWSGX/DjGyNIoYiTJ0r68Wgdh4aWARinoKUL6VsqhBuGibHR3chAcHiyo5/HVqdS2duPqpOAnCyMI9NSwIa2UDUfKLmj//dMoK5NNV9QF4UR5E//cfEo0oFPKpCxPMvH4nBByqlpZtU8ozY+EHlwhk7Ao1pd7pgYyyeR2xazaz4XOHuEGLpChVk71OVyfTRM0cALN5OGMs1KGQialqrmT4vp2Surb+/7uuGin79GGp0ZJsJcGuVRKaWM7pQ0dQ/oJOSlkhBhOk6JQgxYvnYrmTgsnK1sEL6MhKj0gmEkKLTSBHIV4aQWSKtoSCNWqorq2Ic/ZM9uI4T46Jhndryit4fmiqaOH9w8U8daeAlHjqdcquX96ECuTzVitNt4/UMQ7+wpFI0mdWs7KZDP3TQ2ku9fKqzvz+OjQaf3RJJMbT88Lo7G9hx+uPeqwz2XxRpbGB/DvrTlicLlSLmV5onD9UMqkvLW3kLf3FohmnUF6DY/PDuHmif7kVrfyl2+yxWu9ViXnsdkh3D8tCCfllbOwvBSoaeni/ncOcbysCSeFjN/cEM0fvsyitcsypPZ2zYNJTA3VX/JjGSNLo4iRzIa79eV9l2x7AL+/KYb50d74uKjP62Zc0dTBo++nibESMqmE6aF6EoM8qGjq4P0DxRd0PEq5lFsn+nP/9KBB7Q8uF1KLGvj7ppNiPpSTQsY9UwNZmWxCIpGwJqWIDw+WDCm2v1jE+rtwz5RAbojzu6yxCa1dFiqbOqlq7qSyqZPK5tP/rmoW/l/T0jXkjdigUxHmrcXNSYlaIcNJKUUll1Hf1k1xHyGqGaLS1A+JBPxcnTB6OKFTK0jJr7uiwpyVcilalfysLXI3Z4UdIer/o5LLOFF+2twxo/zsYbnj+ohRoF6DSi6job1bbN/lVLeclZi5qOWE9ZGiUINW/Lev6/ldC64mdHT38tHhEl7flS9Gw+hUclZOMXP/tCB0ajmfHCnjf7vyye8LhFbKpNw80Y+HZwajVSl4dWeenf5ofIArT88Nw0kpY8UbjrYDM8L0PDgjmJe253KwT/uoVki5e0ogj8wMRiGX8u6+Qt7YUyBqloweTjw2K5QlkwM4XFjPH7/OIqNMEJl7u6h4dkEEt00O+E5M1ObXtHLP2wcpqe/AQ6PkrXsTeHNPARvTy5FJJShkkkEnQ4/8esGIDMeMkaVRwEibUv7+i0zeHCTX6GLh7qzg2WsiuH68L27Owz/5uiy9rNpXyGdHy+2mRZQyKfGB7nRZrKRexHh3/0VmZpj+irl4782t5W+bTnJ0QPbY1BBPlkwOYF6kN9tOVvHu/qIRE+C7Oyu4I9HEymQz/m5Ol2y7vVYbda1dVJ5BfCqbusR/VzV1njXjbSDkUglOShlOCplAihQy1EoZLZ09lNZ3nDPBXqeWY/JwxuThjNHDGa1KTpell84eK+3dlj4Tx9ZzEqvLDR8XtUiEQgxaQrw0uKgVdPT0UtJXKStpECpnRXXtQ4q/zZ7OxPq5YvRwRiWXolJIqW3pFg0shwrZBUGf1D+FFzaAFHnpVFfM92q00dNrZWO6YBSZ0xfBo5JLuT3eyMMzg/F3c2JrVhWv78q3s6iYF2ng4ZnBBHlpHPRHMX4uPDU3FKOHM9e9uMdhnyFeGp5ZEM6bewrsfJbumxbEQzOCkckkvH+giP/tyhcXXX6uah6dHcLt8UY2najkb5tOiuQ53FvLc4simRNx9U7OHSlu4IFVh6lv68bk4cyq+xMpb+wYlHSeiczfLRwRb6oxsjSKGKnKUl1rF6v2FeLr5sTCGB+eWJ1GZXOncCH20p53IvdgcFbK+NuSOBZEe5+XyDi/ppUvjlXwxbFy0aUWBOJ0rhvjuRBm0PLA9CBunuh/RYRR2mw2tmZV886+Avbl1Ykrd61KznXjfFkaH4BKLuO9A4WsTy0dkRadVAILor25Z2ogU4LPLpJv77acUQXqcqgMVbd0DdshW6eSo9epsNps9FisdPda6bJY6e7793CuIHKpBF83NTqVApVCilouQ60QqkxqhRCYWt3SRXVLJ9XNXRed3Xc5oVXJifFzobqli7KGcxPFYL0GPzcn0ZZAKRfakecih/1Vu/42en/F6Epqa19psFptbM2q4qUdeXZV8pvi/Hh0dgjh3jpSixp4fVcemzNPO3/HGd14ZGYw8WZ33tpbyLv7C0XdYYS3jqfmhRIX4MbiF3Y7LDCcFDJ+sTiSDw+ViItMnVrOg9ODuX96IHKplDUHi3ltZ56o5zPoVEIgb4KRjw6V8J9tueIARHKwBz9fFEXcVTY5921WFU+sSaOzx8r4AFfevCeB5s4e7n/nEEUD2sw+LupBFxFjZOk7gNEQeA+G6uZOtmVXiwnoJytbB00vPx+8tHwSi8f5nNfK5VRVC1+kl/PFsQqxlH0p4KFRsjLJxMop5itG+Fza0M6GtDLWp5baeeUEejqzZHIAcyO92ZNbw6p9RYMmwl8qzI00MCXYk+bOHirOaJOdGV46FKQSwcHZx0WNt4satUImEqCe3tNkqK61m7LGjvOKHwFBg9VPhqQSCQ3t3VdlgPPFQiaV4OuqxujujEohpbNHqJh19vQilUiobO48awvPz1VtpykK89YS6qW7qjVFlxs2m439eXW8vCNP1BeB4Gn1+JwQJpncya9p5Y09BawfMGFn8nDmwRlBzI/y5oODxbyzt1AkRyFeGp6aG8aMMD13/u+A3SKyH88uCOeLYxWi/5Obs4JHZoZwz1QzUomEjw6X8OqOPDFmJcDdiV8sjmJaiJ6Xd+by9t5C8ViuH+/LT66SybkPDhbzy0+OY7UJ0TD/uXMiaw+V8LdNJ+0WRkYPJ7QqxaCu/Sf/37UjMhQ0RpZGEZeLLA2GutauvnHsFk6UN7Mu9cKniJKCPHjnvsRhiwttNhsnypvFitP5hqKeDUsmB/DA9CCifC/v+9sPm83GocIG1h0u4cvjFeIqUyIR3JVvneSPWi5j7eGSSy7OHw40Shnermp8XIQ/3q5qPDVKLFabQIL6JqvKGzsEIXVD+7BJ1pWGQE9nJhjdCPbSoutz065s7uTFb3Mu96HZ4czQ3zNh9HASbAkGaIpCvDToxnIGRxTHSht5ZUce35yoFCtJycEePD47lBlheuraunl3XyHvHigSNUbuzgrumhLILRP9+fxoOW/uyRd1dEF6DU/MCWVRrA9PrEkb9Pv/1NxQvjxeIU7Y6rVKHp0VwspkgTR9nFbKC1tzxApLYqAHv7khGneNkn9uPsWGI8LknELWPzkXNqyg8dGGzWbjX1tzxO/i0skBPDY7hOc2HBf1XP3w0ChZ/+gU5v5j56DbWvfoFBICPS75MY6RpVHElUSWBkN6SSPbsqvZmlU1qDPt+eC5RZFMC9Fj8nTG1Wnoi7jNZiO9tIkv0sv58njFWTUW54Nx/q48syCM2eEGu/T4y4m2LgtfZ1SyPrXELuRUp5JzfZwvIV5atmVX2xnjjRQSAz3QqGRYbULES3OnhZbOHlo6LZfEL2ooSCXgqVVh0Kmw2qC4rk0ck74UUMqlhBm0+PRVwCxWK7Wt3dS0dFHT0nVVTczp1HKSgz3FKlGYQciiG8sKu7zIrW7ltZ15fHKkTLQNGOfvymOzQ1gY40OXpZf1qaW8sbtArCqr5FKWJRi5e4qZTSeqeGN3vmgcavRw4onZodw80Z/nN2bywUH7IRiJBH66MJIPDhaL2/N2UfHknFBuTzDSa7Xx2s58XtuVR2ePFYkElkwK4CcLI6ht7ebP32SLGWo6lZzH5giTc1eCdAHA0mvll59ksPaw4Jf01NxQDC5q/vRVFu3dvTgrZeI1yUkh44OHk9mSWclL2weXl/xkYQRPzAm95Mc5RpZGEVc6WRoKTe09rEst4f99mXXuB58DIV4aonxdiPJ1IdrXhTBvLa5OCjR9N4DU4ga+SC9n7eGS88rAOht+dV0UK5LMIzpWa7PZ6Om10Wu10WO10tsr/G3p+1l/m6pfEH2osJ7NmY6uv1cr5FIJeq0KZ5XMTmfU0tVDbUs31S2dl1SjJZNK0Krk2Gy2K2ri7VJCIZNwbayvEOQa6H7VinW/qyhr7OCN3YIDd/+1KthLw6MzhRF/mVTCNxmVvLYrT8x6U8qlrEgycc+UQDadqOT1AaJtfzcnHp0dwtLJAfz+i0xWp9iTpiC9hpXJZt7cnS+23/zdnHhqbii3TQ6gpqWLv3yTLYaha5QyHp8TygPTgzhUWM+fvsoms69t5euq5pkF4dw26fJOzrV3W3hidRrbT9YglcATc0I5WtIo+pP1+3b1T8C9tnIyBwvreX1X/pDbnBnuxbv3J17yYx0jS6OIq5UsDUROVQtv7ilwcE29WjAjTI9Bp6bXaqXHasPSaxUITj/R6bVisdqEP70C2bFY+37W/+/e07/vsQrPO1+dzhguLRQyCZ4aFQq5RNT5dPVYz3uIQCmTEuDuRICHMy5qOXtyawcNmh0pGHQq3J2VdPdaKRig6wv31rIy2cwtE/3H2m1XGOrbunlnbwHv7CsUibuvq5oHZwRzZ6IRJ4WM/fl1/HtLjmjc228RcPcUcx+hyhdF+j4uah6ZFcySyQH8eF266PrdjzkRXswI8+LVAUJvs6czT88N4+aJ/hwtaeT3X2SKk7kB7k78fFEU18b6sDG9nL9tOinqJCO8dTy3OJLZ4V6jSsY7e3r55EgZr+3Mo7CuHZVcypwIA3tza2npsqCSS/nptZHIJPDbjZmAsOjdnVNrF1kzEJ4aJXVt3fi4qDnwi3mX/JjHyNIo4rtAls5EdXMnmRXN5FYLZoOfHim/6Cm3MYwBhPaDp0aJXqvCS6fCq69y1U+GOnusdFkEUtTc2UNpQ8dZtT4gtAF9XNRo1XLUitOBtyq5UAlDArUtXdS0Cm27y6XPUsmlBHtpkUogv6ZNbB86K2XcPNGflUlmov2+G9eQ7wpauyysSSnijd0FIolxd1Zw79Qg7plqxtVJwd7cOv6x5aRoEeCslHHv1EDu7qs0vbozT5Qi6LUqHpkZLHzeb6SIYu9+3Ds1EH83J17dmSdWp0K8NPxwfjiLx/myMb2cP3+dLeqZEgLd+c31MYR5a3lvfxH/3X56cm5qiCc/XxTFuICRzaFs7uxh9YFi3tpbYDfB2U90QMjs+/vSOE5VtvD4mjRsNrhloj8HC+odhmGcFDL83Z3IrT4tkr9pgh8v3DHx0h/7GFkaPXwXydJQ6Om1sienlo8Ol/B1hqPL6hjGIHgtCWRlIHHp/5lCJqWju1fQUnVZaGjrPmtA7FCQSBC3LZdKaGjvOa9KoFIuxaATdFZKudRObzYaCPbSoFXJaWjvFlPoQXCKvmuKmUWxvleM/mQMQtVkQ1oZr+3KE0fdNUoZy5NMPDgjGINOxY5TNfxryymxPadVybl/elCfpqmSl7fnicTAQ6PkoRnBXBvrw8J/7XJYjP7quii6e628tjNfJD+RPjqeWRDOjDA9r+/K59WdjnomlVzGyztyeXvf6cm5G+P8+MnCCIwezpf0Palu7uTNvQWsOVAsTgX6uqrxcVVzoryZbosVpUzKDxeE8fCMYNKKG1n5ZgrdFiv+bk5DTgz/+dZx/GPLKTvi9dXTM0ZkITFGlkYR3yeyNBDNnUKA6Ia0MlIKRvdGM4YxDAVPjVKoWA38o1VhcFHj1VfNMrio0KnkDi0Km81GWnEDa1JK+OJY+aj4Pbk7KzB5ONNrs5Fd0SKKi92dFdyeYGRFohmT56W9yY3hwmHptfJVRiUvb88lu1KoCillUm6b7M8jM0MwezqzNauaf245JY7Au6jlPDQjmJXJZrZkVvHf7bmiqNvNWcED04KYGqrntlccExv+u3wiedVtvLE7XyQk4/xd+dGCcCJ8dPz1m2w+7dMzOStlPNGnZ6pt7eKfm0/xydEycXLu7imBPDkn9KKdsPNrWnl9Vz4b0spEkhdm0LIswcjBgtO6zRg/F/55+wR83dT8b1c+b+wuOOcwxjXR3gTpNbw2QL80K9yLVSOgV4IxsjQqGGkH76sJNpuNpo4ealu7qG7pEieVavvaHlXNnezPqxs0tHMM3w1IJCCTSEbkM1bJpRhcVBh0AwjPADJk0Knx0qnw1CpRyIZvrno2NLX38MmRUtYcLB7UM2ckEOmjQyaVUN035QfC+zozzIu7ks3MiTR8JyIvvguw2WzsOFnDyztyOVQouH5LJbB4nC+PzQ4hyseFTScq+dfWU+L54+as4OGZfaTpRBUvbc8Vvel0ajn3Twsi0kfHY6vTHPa35qEk9ubW8vbe04aYE01uPLsgAmeVjN9tPK1n8ndz4ueLI7lunC8nypv5yzfZorja1UnB8zfGcNMEv/PWMx0taeTVHXlsyjxtsxBvdufRWSH02mz88pPj1LZ2I5NKeHJOKA/OCGJNSjGv7MwbUiMY5esiOqjrtSqmh3qK5G/ga58aculz4WCMLI0qvq+VpQuF1WqjsaOH4vp2tmdX8212lZiDNIbLD6OHE06KAdElSmESTiGX0tXTS6fFSmd3L52WXjq6e+noOR1Lcj72BGdql/oJjyMRUqEdpAo0Wrgc1Sa9VomXTo2l1yrGc4BwE7wz0cjtCcYrxqh1DHCosJ6Xt+eyfYCn0uwILx6fHUq82Z0vjlfw762nRF8lT42Sx2aHcGeiia1ZVfxnW66oz9Gq5Nwz1Yy7s3LQSeUvnprO5+nlrNpXKJ6LSUEe/HhhBOWNHfz562xRH5UQ6M6vr49mfIAbu07V8MevssRq2DXR3vzhlnF46c7u+G6z2dh5qoZXd+bZtarnRxl4dFYIYd46nt94gg1pQqh6uLeWP982nszyZv6zLYeqZoH061RyB3fz5UkmZod78fB7qYBw7elvSffrneICXPn0iWkj9v0fI0ujiDGydGnRP67ffzOubOqktKGD0gYhwf1kVYuDodkYrhw4KWQYXFSDVoAGkiIPzaWrAo0W+qtNHxwscRDmjgSkEgj20iIBqpo7xaksuVTCtbE+rEw2kxTkMWY/cIUgs7yZV3bm8eWxctFSI97szuNzQpgZ5sXn6eW88G2OqHny0ql4YnYIyxJMbMuu5j/bckQy46yUsTLZTHu3xSGo3OjhxKr7Enl3fxFrUorFVtitk/x5Zn44H6eVinomEEx9f7IwAg+Nktd25vHCtzn09Npwd1bw/E2x3DDe1+EcsvRa+fJ4Ba/uzBfbiXKphJsm+PPIrGDCvXXsPFXDz9Yfo7K5E6kEHpwRTKiXlpd25Iqv0d/NidkRXg6WCX9fGsecCC+ufWG3nTZJIoH/uz6af23Noamjh5dXTGLxON9L8fEMijGyNIoYI0uXD61dFr7NquL/fZl1xYesXs1wUctRKWTotY5VHztNkE6FRin7zt+8hWpTIx8cLOaLY+WXzDvsbNBrVbg6yenutdoJwsMMffYDk/xxGbMfuCJQWNvGa7vy+Ti1VCQykT460eDy86PlvLgtR0w58HVV88ScUJbGB7DjZA3/2ZYjVtvVCil3JprIr2lzGK+fGe7FH26O5b/bcvkotQSbTWjn/XRhBHMiDfxj8yk+OSJUfJyVMh6fHcKDM4IpqG3j2Y/SRX+mRbE+/P7mWPRaFR3dvaxLLeF/u/PF88xZKePORBMPTA/C11VNemkT7+0v4uM0ISEiSK9hUawP27KrRbKn1yp5ck4oCrmUX36SIR6zRCJUx8IMOh5fncbWrNMWClIJ/PP2CdS3dfO7LzIJ9HTm22dnj2jreYwsjSLGyNKVg7LGDv6+6aR4gRhNyKQS5FIJCpkUmVSCQiZBLpUilwk/k0slyGXSvp8P/Hf/7/p+dubvBjy/qK6dL49XjPpr83VVc/NEf26M8yPSR/edJ0Png6aOHj49UsaalOJRqTbJpRKMHs7YbDYqmztFouaslHHTBD9WJpuJ8RvZUfExDA9VzZ28uaeA1QeKREd7k4czj8wK5paJ/nxypIz/bssV22b+bk48PS+UWycFsDunhhe+zRUDf12dFDwyK5iN6RUO2Wn3Tg3kxgl+/PrTDDGlYZy/K7+/ORabzcbvvsgUbQ383Zx4blEkC2N8eGVHHv/ZloPFakMqgXBvHdUtXWJWoadGyb1TA7lripn2bsFD6eO0UrGdCILmSAIi8dKp5Tw6K4S7ppj5y9fZdhWl5GAPXlsZz5GSBn63MdMuS1QulfDCHRO5Jsab2X/bQVljB3+4JZYVSeZL94EMgjGyNIoYI0tXJsobO/jyWAUvfJtzTp+e4eCGOD+emhuKq5NiULIzmvErll4ru3NrWX+4lC2ZVaPqgRVm0HLTBD9ujPMfm9IagMtVbXJSSunssdpVViea3FiZZOa68WP2A1cCGtu7eXd/EW/vLbCLQ3l2QQTXxvqw9lAJL23PFX2cTB7OPD0vjJsn+LEnt5Y/f50tVmyC9RoenR3C77/IdPAL+/X10ShkEv626SQtnRYkErgz0cRProlgV04Nf/k6W3QJjze785sboqlu7uLBdw/bbUejlPGzRYJAfMfJGjYcKWVfXp0o6lYrpPi7OVHV3CVeW9UKKfdNC+KRmcEA3PLyPjsD1mcXhHPjBD9+/0WWXTUJhGnCl1ZMYkG0N58cKeWZtenotUr2/GzuiJ+/3zmyVF9fz1NPPcXGjRuRSqXcdtttvPDCC2i12iGf09nZybPPPsuHH35IV1cXCxcu5OWXX8bb2xuA9PR0/vznP7Nnzx5qa2sJDAzk0Ucf5Qc/+MF5HdsYWbryUVLfLgb8Xmw+HgijrD+YH8Z4f1fkl1l309jezefp5axPLRX9XUYLcUY3borz4/rxvhhcxgTH/RjtapNSLsVLq8Jms1Hd0mVnP7A03siKJNNVkU7/XUd7t4UPD5bw8o48alsFYhTpo+On10YwNUTP+weKeHVnHrWtQmUnWK/hB/PDWDzOl/Wppfxj80nxd9NCPVmZZB50cu5Pt47jUEE9G/oq7B4aJc8tiuT68b68sbuAV3bknXOEX6uSY7XZ7IY2koI8mGhyJ7OiWcylk0sl3Jlo4qm5oTgpZXx6pIxff3bCbluv3zWZ42VNvLYrX/R+6odKLuW1uyYzO8KAzWZj0Qu7ya5sGbEsuDPxnSNLixYtoqKigtdee42enh7uu+8+EhISWLNmzZDPeeyxx/jyyy955513cHV15cknn0QqlbJ3714A3nrrLdLT07n11lsxGo3s27ePhx9+mL/+9a88+eSTwz62MbJ0dSG/plUkTpdqJPx3N8UwPVRPkF5zWVtUJytb+DitlA1pZeLFeDQglcCUEE9ujPPj2hhfXJ3HtDMgVJuOlDSyJuXc1SapBORS6UVXCfVaJXKplPZui12+3sxwL1YmmZgbabjsBP/7jvZuC2/vLeTVHXnihFhCoDs/vTaSGD8X3t1fxGs788QqVJhByzMLwpkepueVHXm8uaeAbosVqQSWJRiZFe7Fo+87kqZfLo7io8Ml4kSlp0bJNTE+HCluECtV/fDUKAk1aB088/p9oBKDPPg4rZT1qaVYbYL26JYJ/vxwfjjtPRbe21/E+tRSu2lRpVzKTxdG8NaeArGiNcnkRmlDB9UtXagVUt68J4FpoYItwI6T1dz79iE0Shn7nps3KteR7xRZysrKIjo6mkOHDhEfHw/AN998w+LFiyktLcXPz8/hOU1NTXh5ebFmzRqWLFkCQHZ2NlFRUezfv5/k5ORB9/XEE0+QlZXFtm3bhn18Y2Tp6sWpqha+SC/ni2MVdv3zi0FCoDt3TQlkaogneu3Zx3JHCj29VnadqmF9ailbs6ro6R29r7lCJmFWuIGbJvgxP8p7RIOOryY0dfTw2VGh2nTmjepMOClk51z5nwsquRQXJwU2m426tm6xheLrqubORBN3JBjHqoGXGQ1t3by6M493BtgAzIs08OM+t+139hbw+q58kfRG+brwzPwwonxd+PM32Xx5TNAvalVyHp8TgkGn5sfr0oe9f41SJmqphoJEIuicqpu7RCK/INqbH8wLI6+mlfcPFIk+UwMR4+eCs1Im/s7fzYlnFoSz9lAxhwob0ChlvHVvAknBnuJz7nh9Pwfy63lwehC/uj562K/jYvCdIktvvfUWzz77LA0Npz8Qi8WCWq1m3bp13HLLLQ7P2bZtG/PmzaOhoQE3Nzfx52azmR/+8Ic888wzg+5r5cqVdHZ2sn79+iGPp6uri66u06v25uZmjEbjGFm6imGz2ciraSWjrJnMimay+v70l7wvBv5uTvzuphimhugvC3Gob+vm86NlrEstdWhBKuVSNEoZjR09jMSVwFkpY0G0NzdN8GN6qBdK+VhFo7/a9EFKMRuHUW0CuFifT3dnBRKJhPZui7g/uVTCwhgfViSbmBLsOSbav4yoaOrgxW9z+OhwKb1WGxIJ3DxBsAFwdVbw1p4C3tpT4ODgrVPL+f0XmaT3td/1WhXzIg2sPXxxgejj/F1ZMjmA//vcvp0W5evCE3NCyCxvZnVKsRjDMhByqQStWk5Lp4Veqw2lXMqjs0JYkWTikfdSOVrSiE4tZ9X9iUwyuQNCGsRvPs3g06PlyKUSdv10Dn5uThf1GoaL7xRZ+uMf/8iqVas4efKk3c8NBgPPP/88jz32mMNz1qxZw3333WdHagASExOZM2cOf/nLXxyes2/fPmbNmsWXX37JNddcM+Tx/Pa3v+X55593+PkYWfruobqlk6yKFjLLTxOovJrWi755/eW2cSyZbBx1N+bM8mY+Tivl0yNlYsAlgJ+rGhcnBXKZhKyKlvPKWBsu3JwVLIr15aYJfiQGeoyqIP5KxflUmy4FlHIpTgoZNpvNrkUXatCyIsnErZMCcHUaa6FeLuTXtPKPLafEipFCJmF5ookn54ahkEn43+58OwfvuABXrumzIrgYbdzyJBOPzQrhnX2FvLmn4IK2kRzsgVIu42hxg3huXRPtza/7KkSPrU4lo6wZVycF7z+QJIb7puTX8aOP0ilr7EAqgV9eF80D04Mu+LWcL64KsvTcc88NSloGIisriw0bNow4WcrIyGDOnDn84Ac/4Fe/+tVZj2mssvT9RmdPLzlVrWRWNIlE6mDhxZlk3pVs5pkF4XhcZGbTcNFtsbLjZDXrUkvZnl0tCoKVMinxge64Oilo7bKwN7f2oonhYPBxUXP9eF9umuBPrL/L976qYbPZONqnbTpXtelSQaeSY0M4n/s/fyfFafuBWP8x+4HLheOlTfx10+mIEmeljAemB/HQzGCKatu5662UIeNDBiLMoCUhyIM1ZxhCXiq4OSu4I8FElK+Ot/cWinErwV4afntDDC5OCv63K5+vMyqw2gRd1HsPJBHt50K3xcq/t57ilZ152GzCBOC/lk1gstl9RI51KFwVZKmmpoa6urqzPiY4OJj3339/RNtwmZmZzJkzhwcffJA//OEP5/06xjRLY7DZbJQ1dpBZ3syOUzUXfXEa5+/KMwvCmBqiH/HR2drWLj47Ws66wyV21Q1vFxXzorxxc1JwqqqFrVnVI7L/IL2GG+L8uDHOj1DD0NOt3xc0d/bw2ZEyVo9WtanPF6zXZrObVIozurEiycQN4/3GdGeXCftya/nVpxnD1lMadCp+sjCCX3xy/KJ0iklBHsMKR//zreM4UtwoGmJqlDKemheGycOZd/YW2i0iZ4Tp+b8bYgg1aMmraeWHHx7leJnQPlwyOYDf3hiDViW/4GO+UFwVZGm46Bd4Hz58mMmTJwOwefNmrr322nMKvD/44ANuu+02AE6ePElkZKSdwPvEiRPMnTuXe+65h7/+9a8XdHxjZGkMQ6G1y8LBgjo+Ti27aDPJe6cGcmeiiTCDdkRaWDabjRPlzaxPLeWzo2XiJA4Ivj3Xxvggl0k5XFjP1xmVl3z/IIhCb4zz44Y4v1HTLFyp6K82fXCwmI3pFRct+B4OlHKpGDfUDxe1nNsmB7AiyUSoQTfix/B9R7fFypHiBvbk1rI7p5b00sZB9YS+rmr+vWwCfm5O/PqzDHacrHF80Ajg70vjePHbHIrr2+1+vijWhzBvHV+kl4vkTiGTcGOcPw/OCCLK1wWbzcaag8X8vy+y6OjpxdVJwZ9uHTeicSbnwneKLIFgHVBVVcWrr74qWgfEx8eL1gFlZWXMmzePd999l8TERECwDvjqq6945513cHFx4amnngIEbRIIrbe5c+eycOFC/va3v4n7kslkeHl5DfvYxsjSGM4HvVYbBbVtvLE7nw8PXZwQ8wfzwrhrivmST911WXrZnl3NusOl7DhVY6dhijO6kRzsgUwiobjPv2okkBjowQ0T/Fgc64PnZZoqvFIw2tUmmVSCBLCB3WefHOzBiiQzC2N8xsT6lwg2m41TVa3sya1lT04NKQX1DoHUwV4apoZ4UtXcxZbMqiG2NDKIM7pRWt9up3E8F3RqOSuSzNw7NRAfV2Hisq61i599fEysUE8L9eTvS+Pwdb28i6LvHFmqr6/nySeftDOlfPHFF0VTysLCQoKCgti+fTuzZ88GTptSfvDBB3amlD4+PsDQQm2z2UxhYeGwj22MLI3hUmBPTi33rzrkYNp2vnh6Xhgrk0yXbCy8uqWTz46U83l6uVg274e3i4ppIXoUMimNHd1sOnHpL+QyqYQZYXpujPPjmhify1Kqv1JwOapNcqnEgTTptUqWxhtZnmjC6DHm4n6+qG7u7CNHtezJrRWdu/vhqVEyLVTPBKMbrk4Kqlu6OFbaSHpJo+hXNBjkUomoP7tUcHdWMCfCwKdHy4alX3x2QTj3TQ+y+55uz67mJ+uPUdvahVIm5ScLI3hgetAVMeTxnSNLVzLGyNIYLjWsVht782r555ZTYqbTxeCRmcEsHudLhI/uojRQ1c2dbD9ZzbdZ1ezJrbVbASvlUiab3FErpLR0Wjhc5Oi9crFQyaXMj/Lmhjg/Zkd4fa+jPJo7e/jsaDlrUoodssJGAlIJSCQSrDab2BaSSGBmmBcrk83MifAaM7s8A90WKyUN7RTUtFFY10ZeTRupRfUOZrgquZQJRjf0WhU6tZwui5VjpY3k17Y5tOAkEgj10mL2dD4vHWGYQcuUEE/e3V80rMdfKPHyd3Pi70vjmBLiSWdPL3/8KkvcZ7i3ln8vm0i035VznxwjS6OIMbI0htFAW5eFz9PLWbWv8JK0Yvxc1axINjMnwkC4t/a8b3SdPb2kFNSzPbuarVlVYoJ6P4K9NGiUciqbO+1yyy4VNEoZi8YJVgRTgj2/tzdqm81GemkTH6QU83l6+ahUm2RSCTabza7S4Ouq5o4EE8sSjGLr5fsAq9VGeVMHhbXtFNS2kl/bRkFtG4W1bZQ0dAxpw6GSS9GpFbg4yVFIpeTXtg4qyvZ3c2KC0Y3xAa74uztR19rNwYJ6duXUOGTD9cPPVc3T88IoaWjnpe15w3odk0xupF3gwmz9o1Potdr4yfpjFNe3o5BJeGRmCN+cqCS3zz383qmBPLco8opb4IyRpVHEGFkaw+VEdUsnP153TMxqulioFUL1ZkG0N8nBnhh0qnOO9ttsNnKrW/k2u5pt2dWkFjXY3SR0arlInEYCrk4Kbp7gx40T/JlkcvveWhGMdrVJIgEJ9qaZMqmE+VEGViabmRaivyJaLReLfhf0gto2CmraKKjr+/v/t3fn8VFW9/7AP7PPZNZsM9n3BAgQkABhFYGogFVcCy1atGrv7UW9Vev96U8taovan/baaqlaXKhVS11QRCm1olhRFEhYEpbsezKTfZYkM5nl/P6YxayTmTAzmSTf9+uVVzIzzzxzTp4M8+E85/medueIkcXLqfMIIQ98LmdQXavRREmFmJekRF6SCvOTVZiTqERTdx++uNCKw2WtnuKTbpERAlw2Q41Z8XJ09PTj5S+r/epXllrmCTP+2lKQgq8q2lHf2QsuB7h7TTZuX5mOh94vGXQxS6xchGdvmodVOb7PAw4lCkshsHPnTuzcuRN2ux3l5eUUlkhY0OrN+Nc5Lf6fa+XxQFuSEYUrZ8dhQUokMtWyEecQdff248vyNnxxoRVflLUNqvTL4QBcDicohS8BZxXjmxYmYeP8BMyMm57vR8YYzjTqPXWbhk4YDgYuxzkhfOAnSmp0BH68OAU3LUwOWQ2xi2EwW1HrGhka+uXtvSTgcZASFYH0GBkUYj4MZhsMZisMfVboDOZBV5a6SYU8zElUYl6yCrnxCiglApitdlS396Cq1YSq9h5Ut5o8VbvdZsbJoVE4i8ja7A6cauhGi5d5TOOhlAhGrM4dKxd5Ron5XA7uvTwHVa0mz4K9MTIRRHwumrq/H2W+e00W7r9iRkDbF0gUlkKIRpZIuHJfafNVRRte/7p20D9iwZIUKcGClEgsSFEhL1kFtVyE+o5e/LuiHZ9f0AVs8WJfJCjF+HFBCq6Zl4iU6Ok5EdlkseHAmRa8c6IhKPPIhnIP6g38ZBHyuNgwNw5blqRiYWrkhI78ma121Hf2orrNHYRMqG3vRXV7j9fFp91rpKXHSD1fsXIReiw2tJv6Udqkx5lG/YjvMQGPg1nxCqRERUAm4kPq+g9GbXsPqtt7UN/Z6/U/DwIeBwqxAHIxH7UdvaNuN14z4+TYcd0c/PeeU8NOpw+147o5OFrV4bkKdkVWDNpNlmFTA9yhEQDuLczBPWuzwnLEl8JSCFFYIpNFv82BkqZuXNAaUaY14uvKdlS1BWYB4XCXGh2BrUvT8IO8+Gm7gGxVmwnvnmjE+8WNQZlH5oscjQxbClJx3YJEKMTBWVrFZnegqbsP1a65Q+7Roeq2HjTr+7yugxgjEyEjRoqU6AgoJQJECHmQCHkQ851rKOr0ZuiMZjR09o44ARtwhkOpiAepiA+ZiA8hn4vGrj50ern8XibiIy0mAnYHYOizoru3f8xFbgeal6TE/GQV5qeooBALUKYz4l/ndCNeICLic3HLklS84sPSJgNHkwaKU4i9nla/YUESYuRCz6nBO1ak4+GrZoVdYKKwFEIUlshk126yoFxnRLnWiPJWE8q1RpQ06b3OxZjMMmKl+I9LM7BudjyUEdNvLTSb3YHDZW1450QDPh+w3E0ouZdW2VKQ6lknbCwOB0NPvw1Gs/vLCqPZhha9GTXtJk8oqu/sHbOCtVjAhVTIh0TIQ4SQhwghHxFCHnosNugMFrSZLEE5VZyokiAjVorMWBli5SIYzTbo+/rR0NmHI5XtPu/jkhQVLkmJxHzXabxzLXp8ek6Hf53ToXrIf4Ccj/s+h+1/fzgPcUoxHtpbgrqOXnA4zn0MXYh7qGduzENDVx/++HkFHAxIi47AJSmR+MB1mm7zomTsuG5uyNfE9IbCUghRWCJTEWMMOoMFZTojKnTOkajyVhNKGruDsl7cRMlWy3DP2mwUztJMy2U92owWfHiyCX8/0TDuyb6BkB4jxaqcWNgcjmFhyOiaA2Sy2LyOCoULEZ+LjFgZMl2hKFMtQ2pUBHhcDs63GFBc342vK9uHVcEezfKsaOeoUXIk5iUpYbY6UNlmRGWrCWVaE74sbxt2ClHI40IVIYBSIkBzd5/XUapHrpqFuo5e/P14A/rtDgh4HNy+IgM/XpyCq57/ati8qaGSoyRo6HQuhPvAlTOxIEWFe/9+Cs16M/hcDlKiIzwB7gd58fjfH84Pm6KmFJZCiMISmU4cDuc6eOU6oytImfBtdUfAJ5lOlG2rM7EqRw2piAc+lws+jwM+lwMelwM+17mOmoA3+Dafy5n0V325C16+c6IB+0+3wDTGB+RkFxkhgEYhhlohhlIiQJ9rxMpksaHHYoPJYofBbPVaJDZWLkJmrBRJke65SM4RKg4HaDVY0KLvg1ZvRlO32et8qIFyNDLkp0YiN0GJyAgBGAOq23pQ2WZCZasJ1W2mcY34ykV85KdFYlFaFHITFDhS0Y6/fFMLm4NBJuLjf9bNwIqsGGz/6KxnAd/RrMiK8ToKtmFuHB65Khc7DpzHJyNU+F89IxYv3pwfFmUEKCyFEIUlQpwVnus6elCuMw0IUsaQTugOFzwuBzIRHwIe9/ug5QpdnoDlClyCIbc92wwKaRzwB+5rhNs8LndAiHPe5g/a78BghwGjNwNHcJzfdUYzSpuCX3ogWIQ8LiRCHiQCnue7Z+6RwHnbYrND32dFY1cfmrq9z2PicTmIEPIgFfIRIXKdthPw0dNvg1Zv9mspkIG4HGBZZgzkYufcJomQh+ZuM6raTGNO+h6LRiHCorQoz9eMOPmw018XtAY8+H4JTjV0j7m/hzfMwr8r2jxBas1MNXhczqjLr2SrZXj5lnycqOvCYx+dHXZFZkF6FF7ZuhDyIM1b8xWFpRCisETI6PptDtR29KBM6zqd5xqNqu3omVKn8wjxRYSQB5mID7mYjx6L3eskabmIj4xYKWwOhu5eKzp7+kctOpqllrmCkXP0KClS4nUytcPBUFTfhQ9daw4Odf2CRHT29OObqg702xzgcznYuiwNSokAf/yiEv02B6KlQvyiMBuP7js7avuf2zQfGbFS/OebRcP+45SXpMRfbluMyAksK0FhKYQoLBHiP7PVjspWEypajSjTmjxBaqxLlwkZi4jPhYOxMSd5B5JEwINaIYLNzmBwjdD5KlYuQlasDFlqGeJVYlisDnT19qOuoxfFdV3D5gzxuRzMTVJiUVoUFqZGYmFalE91rBhjKG0yYP+ZZnx8utnrOnNp0RF48rq5SI6KwK8/PodPXSNIsXIRbliQhMNlrZ5yAVsKUhAh5GHXVyNfXXfP2mxsKUjBTS8d9czTci+nkq2W4c07CqCZoCtUKSyFEIUlQgKnx2JDheuKvIHzooJV/ZtMXrnxCiSoJOiz2tBjscNksaGpqy/gS74kqiTQKETQKMTQKMSIkgrRZ7XDaLbC0Oc8fakzWFDdboLZOvJ8Ig7HWexRKuR75jdJRc7K9r1WO7T6PrTozSOGLKmQhwWpkZ5TavOTVT5djNBjsTkngbsu0Pj8Qitq2r+/Uk4m4uOK2c61FldkORfEPliqxfaPSqEzOOdY3ZifhIc3zMLpxm489tFZT52neckqKMR8z2m5jFgptl89G1tfOzZiW9bMVOPewhzctvs42k0WREuFsDPniFlKVATeuqNgQhZlprAUAlTBm5DQ0fdanaNQrvBU5gpTo80XcU/EHu3DixC5mI+0aCkUEj4kAr6rhABvUDkBHpfjmcul1ZtR2WZCXYf/84m4HPh82jlWLvKcTluUFoWZcXKvax+arXZUtZmc7wtPCRAjGjqHj9J+vxh1PC6boR5xkrXBbMUzB8vw5nd1YMy5DMuvfpCL9XPj8MpXNXjh8wqYrQ5wOcDCtCjUtveg1WjxVPX+rqZzxOWX0qIj8N+F2fjVh2dhtNgwM04Oo9mGpu4+xCnEePOOxchSy337JQUIhaUQopElQiaOu0aU+4PCXebAl7W4yPTC5QARrtpKQh4Xva4r4EJZZyoyQoA4pQTxSjHilGLEK1zflRLEue4baQkhALDaHaht73EGIt33o6/e5v/FyITI0ciRo5HjkhQV1s7SjLr/oYrqOvHQ3hLPXKOV2THYce1c8Hgc7PjkHA6UaAE4R5kiBDwcre4AACxOi4JaIfJU+R4oQsjDjflJ2HO8Af02B1blxKKpuw+VrSZESYV446eLMSfRt7pbgUBhKYQoLBESXhhjaDVaPKNPztN5znlRoVgnjUxPMTKhJ/h4wpBSjDjF97d9uVze7mCo7+wdVii2ut006jwspUSAHI0MORo5ZsTJka2WI0cjQ7RMdFF96rc58Od/V+H5z52TusUCLu4tzMHtK9LxwckmPPJhKSw2BxJVEqyZqcbe4kb09NshF/ExO1GBb6s7R9xvRowU1a5TgpsWJuNciwElTXqoIgT48oHVUEpCc5UchaUQorBEyOTgcDA0u2rftBmdVZpbDc51rT47P/Il0IRwOIBaLnKOCCkGhKABwUitEEHE969uEGPf1yzzjBS1OkdJR6ulJBXykK2RY4ZGjmyNDDPinKNGarkoqEuJVLeZ8PAHpZ7Ro9x4BZ6+YS74XC7+660i1Hb0Qsjj4tblaThR24li1zIrkRGCERcSHuqeNVn4uKQF1W09eODKGdi2OitofRmIwlIIUVgiZOqw2h04VtOJ94saPauph4JEwMP6uXGIihCip9+OfpsD+r5+dPVa0dXTj67efp8+dIh/+FwONK4ANNJpsXilGLFyEQRe5gyNhTGGNqPFM9Hafcq4stU0avFPEZ+LbI0MOWo5cuLknlGjBKVkwgqgMsbwblEjdnxyHvo+K7gc4NZl6fjZpRn41b5SzxVzV89LQKJKgl1fVY84t0sq5IEBw0Z5l2dF4+vKDkRLhTjyf9aEpKI+haUQorBEyNRV096DLy604lhNJ07UdaLdNL4ChOORoBRDoxQjViZCrFwEtdz5we382fk9RiaCgzGYLDaYXBWo3ZWoTZbvlwsZ/rh12H1TdS3AoS6bEYufXZqBrFjnaSp/1iqzO5hnwrdhwNVwhgFFPQ19rt+7xYo2owXlOhP0fSMHXQGPg4wYmTMQqZ3fZ2jkSHYtjxKO2k0W/Prjc9h3qhmA82rBJzbORlWbCb89WAa7gyFHI8N/rsrE84cqPFfQDSTicxErF41aKuTxa2Zj67K0YHYDAIWlkKKwRMj0wBhDbUcvjtd24kRtJ47Xdg26FHuiREYIBoQoV6CSiaBWiBAZIYSQz4WAx4WQ51y+xf2zgO/8WcB1/gwAZqsDPQMCl9G1JpvRbAOHAwjcS8DwuBC4K4nzOJ77BTyOZ5kYdwVzAc+9bIyzyri7+jhjwOcXWvH3Ew34qqIt5Ou+5cYrcM38BMQrxZ7w465kPloI8rbGmjdcDpAWIx00UjRDI0dajPSiRq0m0uGyVjzyYakn8FyVF48Nc+Lx2P6zaDNaIBPxsf3qXBTVdWHP8YYR9+GutzRUokqCww9cFvTfDYWlEKKwRMj01Wa0oKjOGZxO1HaitNkQlNXqB3LW6+GhzWQJSuFFIe/7UOMMVhwIXIGLz+V4wpfAFYgG/ix03faEMv7I2w0Nb+0mCz463YyTrrku4U4i4EEudlbiVkgEkIsFzp/FAig89/GhihAiK1aGjFhpWKyFFmi9/Tb8/rMKvHqkBnYHg0LMxx0rM3Ckoh3Hap2Tu3+6PB35qZF45MOSUU8lczlAvFKCpu7vR5p+d9M83JCfFNT2U1gKIQpLhBC3HosNpxq6XaNPXSiu7wraFXgLUlS4bXk6MmKl6O61otXomrju+mo1WtDVa4XV7nB+2RywOtj3P9sZ+u3T49SbP66dn4C5SSpX+HEGIE8YcoWgyToaFCylTXo8tLcEJU16AM6/zQSVxFM+YGFqJO6/Ygbu/lvxqKeyE1USREoFnnUJhXwuLjyxLqhztCgshRCFJULIaGx2B861GDwjT8dru3xegd5f96zNxq3L0nxa+sKNMQa7g3mCkztY2Qbetjl/ttmdActqd3geG7yd63GH8znufQ3flrm2dYU3m2PAtsz1Og509PT7tWxIIK3IisGWghQU5mooGPnIZnfgL0fr8LtPy9Dbb0eMTITNi5Lxl6O1MJptiJEJ8Z+rMvGHQxWjHtcrZ2twttngObX30s35WDcnLmhtprAUAlTBmxDiL8YY6jp6ccw17+lEbZen3kwgzU5Q4JGrcrEkIyqol5SHSpnWiHdPNOCDk02jVm0PBrXc+YG/aXEKElWSkL3uZNbQ2Yuf/bUI51sMEAu4uO/yHHxwshnnWwzgcoDLZqjxdWX7qBcU/N8NM/HkgQsAgDiFGEcfWhO0v2EKSyFEI0uEkIvRbrLgRG2XZ+J4MOY9/ezSDNy1JgsKcWiK/QWL1e7Al2VteL+4EYfOt4bsNCKX41zfbEtBKi7NiQ3bK9XChcliw91vF+OLsjZwOMD9l+egrqMX7xY1AnDOi3Mfuwghz+up6rfuKMDyrJigtJPCUghRWCKEBFJvvw2n6rudp+7qOlFUF9h5TxkxUmy/ZjYuzY6Z1KNO3b392H+6Ge8XN+FUQ3fIXjcpUoIfLU7BDxcmI1Z+cRWypzKb3YHH95/DX7+tAwDcvCQFufFKPLb/LPqHjCrlp0aiqK5rxP0sz4rGW3csCUobKSyFEIUlQkgw2ewOnG8xOkee6jpxrCaw857WzFTjgStnYFb85P33q7LVhL3FjfjgZBNa9OaQvCafy8GVc+KwpSAFSzOiJ3XwDBbGGF49UoMdB86DMWeNq5+vysQD751Bfefg+kuqCAG6R7la7sNtyzE/WRXw9lFYCiEKS4SQUHLPe3JfcXe8rhPVbYGb93Tt/ATcf8UMJEdFBGyfoWJ3MByt6sDe4kb8o1SLPmto1gLMiJViS0EqbliQCFWE7xPsp4uDpVr84u8nYbY6MCtegd9vmo9n/lnm8zJD21Zn4oErZwa8XRSWQojCEiFkornnPZ2o7cTxui6cbdKPWOxvPH6yNBV3rc6CWiEOyP5CxWSx4R8lLXi/uHHUBV0DTcTn4gd5CdiyJAWXJKtotGmA0w3duP0vJ9BuskCjEOHVrYvw1nd1+NuxkQtWDvTilgVYPzc+4G2isBRCFJYIIeGmt99V76nGOe+puK5r3NWnh9q2OhO3LkufVPN1Gjp78eHJJrxf3Dji8hvBkBuvwJYlKdg4PxEyET8krxnuGjp78dPdx1HRakKEkIff3TQPfzhUgQtao9fnVT25ISiT6ikshRCFJUJIuLPZHbigdc57Ou6q99RmDMy8p58uT8d/XpYBtTz8R54YYyiu78J7RU34+ExzSOo4SYU8XHtJIrYUpCI3gT4j9H1WbHurGEcq28HlAD9ZmoZ3TjR4vYih9umrgtIWCkshRGGJEDLZMMZQ39nrKZZ5rDZw855yNDK8unVR2M95Mlvt+Nc5HfYWN+LL8jYEeZUaAM7K1lsKUnFVXvyUXP7EV1a7Aw9/UIJ3TjhLCURLhZ76WTIRHybL4BBb89SGoJzSpLAUAlSUkhAylXSYLDjfYsQFrQEXtEaUaY0o0xmHXeY9Hn++JR+X52rCdg5Pq9GMfSeb8X5x45inhAJBKRHgxvwk/LggBZmxsqC/XjhijOFPh6vwzD/LBt0/0lVx/35gNVKiAx++KSyFEI0sEUKmKruDobajBxdajCjTGnBea8QXF1ovevL4rcvScM/abL+WZgkFxhjONhvwfnEjPjrVHJJq4csyo3HzklRcPk2XVtl/uhn3v3vaayj/5J4VmJ2gDPhrU1gKIQpLhJDpxmSxoVznHH06WtWBj043X9T+VBECPLdpPlZkxYRNYAh1tXC1XITNi1Pwo8XJiFdOr6VVTtR24s43TqBrlDpLn923ClnqwI/AUVgKIQpLhBDiHJXRGSwobdLjQGkLPjjZhIv5hNkwNw4PXDkTadERE376zl0t/L3iJpwOcrVwHpeDwllq3LIkDcsyo8GdJkur1LT3YPWzh0d8LFElwdcPrgn4a1JYCiEKS4QQMjqr3YHqth4cqWzHBycbUdpkGPe+FqdF4Z612ZibqIQyYmLWuQtltfD0GCm2FKTgpvzkCetvKFS3mfD617WepVGGunVZGh67ZnbAX5fCUghRWCKEEP/p+6wobdLjvSJn8BivGJkQty1PR2asDBmxUqRERYTkSjN3tfD3ixtxMMjVwsUCLq7OS8AtS1ORl6QK2uuEEmMM31Z34tUjNTh0Qed1FJKuhvNRZ2cn7r77buzfvx9cLhc33HAD/vCHP0AmG/0cptlsxv333489e/bAYrHgyiuvxJ/+9CdoNBoAQEdHB7Zs2YIzZ86go6MDarUaGzduxJNPPulX6KGwRAghgcEYQ2NXH/Ycr8fOL6oual/JURJclqNGtkaG9Bgp0mOkSFBKgnJaK5TVwvOSlLh5SSquzkuARDj5yg/02xz4pKQZr3xVg7PNvo0yUp0lH61fvx4tLS14+eWXYbVacdttt2HRokV4++23R33Oz3/+c3zyySfYvXs3lEol7rrrLnC5XHz99dcAgK6uLuzZsweLFi1CbGwsKisrsW3bNixYsMDrfoeisEQIIcHVbrLg6X9cwHtFjQHZX16SEiuyYpDhGo3KiJEGbE23hs5efHCyCXuDXC3cXX5gS0EKMiZB+YHu3n68fawef/mmFjqDsyCqkM+FQizwLAwdIxONuEg0hSUfnD9/Hrm5uTh+/DgWLlwIADh48CA2bNiAxsZGJCQkDHuOXq9HbGws3n77bdx4440AgAsXLmDWrFk4evQolixZMuJrPf/883jmmWfQ0DD2WjVuFJYIISS0jGYrvqvuxAtfVAZ8wnVkhADLs2KwPCsGC1IikRo9vtN6jDGcbOjGvpNN2H+mBZ1BLEOwIisGNy9JReEsNfhhcjWhW017D147UoP3ihrHfapyosPSpFis5ujRo1CpVJ6gBACFhYXgcrn47rvvcN111w17TlFREaxWKwoLCz33zZw5EykpKaOGpebmZuzduxerVq3y2h6LxQKL5fvkazCMf7IiIYQQ/8nFAhTmalCY65xWYbHZUa414XhtJ3Z/U4v6zvGP6HT1WvHxmRZ8fKZlxMdzNDJnmMqMwYLUSERGCEacT8PhcLAgJRILUiLxyA9ycaSiHR+easI/z2phtga2DMGRynYcqWxHnEKMH7nKD0zUwsdGsxVN3X2obe/Fe0WN+Oy8bkLaEUiTIixptVqo1epB9/H5fERFRUGr1Y76HKFQCJVKNeh+jUYz7Dk/+tGPsG/fPvT19eHqq6/GK6+84rU9Tz31FB5//HH/O0IIISQoRHwe5iYpMTdJiZ+uSAfgvAqvXGdEaZMeH59pwVcV7QF5rXKdCeU659VbI4mRiZCboEBuvML1XY6UKClWz1Rj9Uw1eiw2fHpOiw9ONuNIRWCXWdEazHjus3K88HkFrpitwc1LUrE0Izpgk6MZY2g39aOpuw/N3X1o6upDU3cfGl3fm7p6YRhjvT0hj4tLUlTQGsyo8/E0JWNsQstHTGhYevDBB/Hb3/7W6zbnz58Pejuee+45bN++HeXl5XjooYdw33334U9/+tOo27u3cTMYDEhOTg56OwkhhPhOwONidoISsxOU2LQoBYAzQFW2mlBU14V3TjTgTKM+4K/bbrLg3+Vt+Hd525jbivhcWAKwnMxQNgfDgRItDpRokRkrxc1LUnH9giQoJd7LD9jsDrToza7g4wpE7i9XIBpPe+clq7AsMxrLM2PA5QBPH7zgc1ACgK8q2nFpTqzfrxsoExqW7r//ftx6661et8nIyEBcXBxaW1sH3W+z2dDZ2Ym4uLgRnxcXF4f+/n50d3cPGl3S6XTDnhMXF4e4uDjMnDkTUVFRWLlyJR599FHEx8ePuG+RSASRSDR2BwkhhIQVAY+LWfEKzIpX4OYlqQCcJQCq2kw43dCNf57V4rPzrWPsJXCCEZSGqmrrweP7z+Hx/ecAOMsQzIhTwOFgsNodaOrqg9HifTTIX6nREUiJikBSpAQahRhdPf0obdLjxcO+XeE4dH24oQvrhtqEhqXY2FjExo6dFJcuXYru7m4UFRUhPz8fAPD555/D4XCgoKBgxOfk5+dDIBDg0KFDuOGGGwAAZWVlqK+vx9KlS0d9LYfD+Yc7cE4SIYSQqYvH5SBHI0eORo6bFjrPEtgdDDXtPSht0uNMox6fnddd1DyocGK2OoJahVzI56K+s9evkSM3AY+DVTmxgwLrD/LisX7OyAMjoTIproYDnKUDdDodXnrpJU/pgIULF3ou8W9qasLatWvxxhtvYPHixQCcpQMOHDiA3bt3Q6FQ4O677wYAfPPNNwCAAwcOQKfTYdGiRZDJZDh79iweeOABREVF4ciRIz63ja6GI4SQqc/hWlS4tNmA0iY9Shr1OFrdMdHNCrh4pRhKiQAKiQAKsQBcDtBqtKDVYIbOaIE9gJOsstUyVLSaRn1cLOCi6JHLIRUFZ2xnSl0NBwBvvfUW7rrrLqxdu9ZTlPL555/3PG61WlFWVobe3u+T7HPPPefZdmBRSjeJRIJdu3bh3nvvhcViQXJyMq6//no8+OCDIe0bIYSQ8Mflclx1mWS4Zp6zZA1jDPWdvShp0qO0yRWimvTQ9428IOxk0KI3B30ZFzdvQUnI4+LAPSuDFpT8MWlGlsIZjSwRQghxc1chdwcnZ5DSo6t38gaoYFOI+bh+QRKkIp6ncvufb8nHFbODe/ptyo0sEUIIIZMBh8NBclQEkqMisH6u80Ihxhia9WacazagrqMHjV19qO/sRX1nLxo6e0My0XsiRUuFiJWLhk0mz0+NxJqZaiRFSlChM+GVI9UAgLtWZwU9KPmDRpYCgEaWCCGEjBdjDG1GCxq6nOGpvqPP83N1mwntpuBV/p5ICUox+u2OYf1bmR2D3bctBi8Ia/gNRSNLhBBCyCTA4XCgVoihVoiRnxo17HGLzY7mbrNnJKrRPSLV5bzizDhGEchQkYn4kIn4kIp4kIkFMPfbUdPeg377yKNmza55UTwuB9lqGfKSlJifHInrFySGJCj5g8LSRdi5cyd27twJu318a90QQgghYxHxeUiPkSI9Rjri4/peq2ckqsEVpOo7e9HY1YfGrl5Y7cE9gSQT8aGUCCAScCHkcSHkc6HTm6E1DJ8kzuUA2Wq5s9p6orPiem68Ylxr74USnYYLADoNRwghJBzZHQw6g9kTpEqb9PjL0bqQvDaHA2TFyjyhKC9JiVnxCkQIw2ecxtfPbwpLAUBhiRBCyGTTYbLg4Fkt9p9uxrfVnQHZ57LMaFy/IAkpURGYnaAIi8v+vaGwFEIUlgghhExmrQYzDpS0YO/JpoteL0/A42Dj/ERsXZqGuUnKALUwOCgshRCFJUIIIVNFc3cfDpS04M1v61A7jiVLBspPjcSdK9NxeW5c2E3aBigshRSFJUIIIVNRfUcvPi5pxouHqy7qqrv0GCnuXJmB6xckhtVkbgpLIURhiRBCyFRX3WbC/tMteO6z8nHvI0LIw39dlombl6RCFSEMYOvGh8JSCFFYIoQQMp2UaY3Yf7oZf/yictz7uG15Gm5fkY6kyIgAtsw/FJZCiMISIYSQ6YgxhrPNBuw71YRdX9WMax8b5yfgPy7NRG5C6D8/KSyFwMCilOXl5RSWCCGETFuMMZTpjDhwpgXPf+7/iNOSjCjcvSYbyzKjweGEZjI4haUQopElQgghZLDm7j58fKYZTx644NfzkiIleG7TfCxKG770S6BRWAohCkuEEELI6PR9Vuw/3YxHPiz1+TmFs9T4448XBPXqOQpLIURhiRBCCPGNxWbHP0q0eHDvGZitIy+yO9CjP8jF7SvSg9IWCkshRGGJEEII8Z/DwXC8thPbPzqLC1rjqNtV7FgPAY8b8Nf39fM7vBdtIYQQQsiUxeVyUJARjYO/uBSAc+Hf94sb8T/vnRm0HS9EE75HQ2GJEEIIIWGBx+XghwuT8cOFyRPdlEECP6ZFCCGEEDKFUFgihBBCCPGCwhIhhBBCiBcUli7Czp07kZubi0WLFk10UwghhBASJFQ6IACodAAhhBAy+fj6+U0jS4QQQgghXlBYIoQQQgjxgsISIYQQQogXFJYIIYQQQrygsEQIIYQQ4gWFJUIIIYQQLygsEUIIIYR4QWGJEEIIIcQLCksXgSp4E0IIIVMfVfAOAL1eD5VKhYaGBqrgTQghhEwSBoMBycnJ6O7uhlKpHHU7fgjbNGUZjUYAQHJy8gS3hBBCCCH+MhqNXsMSjSwFgMPhQHNzM9asWYMTJ074/LxFixbh+PHjAd/WnZT9GenyZ//htP106ivgf3/Dqe3+bh/sYzud+urv9tOpr/5uP5366s/2k7WvjDEYjUYkJCSAyx19ZhKNLAUAl8tFUlIS+Hy+X6fheDyez9v7s62bQqEI2v7Dbfvp1FfA9/6GW9vD6e94OvXV3+2nU1/93X469XU820/GvnobUXKjCd4BtG3btqBt7+++/RXMtodi+2DuO9y2D+a+w217fwXzPTWZ++rv9tOpr/5uP536Op7tg7nviWw7nYabggwGA5RKJfR6/ZSfcD6d+gpMr/5SX6cm6uvUNNX7SiNLU5BIJML27dshEokmuilBN536Ckyv/lJfpybq69Q01ftKI0uEEEIIIV7QyBIhhBBCiBcUlgghhBBCvKCwRAghhBDiBYUlQgghhBAvKCxNEjt37kRaWhrEYjEKCgpw7NixUbfdu3cvFi5cCJVKBalUivnz5+Ovf/3roG1uvfVWcDicQV/r1q0Ldjd84k9fB9qzZw84HA6uvfbaQfczxvCrX/0K8fHxkEgkKCwsREVFRRBa7r9A93WqHNfdu3cP64dYLB60zVQ5rr70NZyPK+D/33F3dze2bduG+Ph4iEQi5OTk4MCBAxe1z1AJdF8fe+yxYcd25syZwe6GT/zp62WXXTasHxwOB1dddZVnm3B+z46JkbC3Z88eJhQK2WuvvcbOnj3L7rzzTqZSqZhOpxtx+y+++ILt3buXnTt3jlVWVrLf//73jMfjsYMHD3q22bp1K1u3bh1raWnxfHV2doaqS6Pyt69uNTU1LDExka1cuZJt3Lhx0GNPP/00UyqV7MMPP2SnT59m11xzDUtPT2d9fX1B7MnYgtHXqXJcX3/9daZQKAb1Q6vVDtpmqhxXX/oarseVMf/7a7FY2MKFC9mGDRvYkSNHWE1NDTt8+DA7derUuPcZKsHo6/bt29ns2bMHHdu2trZQdWlU/va1o6NjUB9KS0sZj8djr7/+umebcH3P+oLC0iSwePFitm3bNs9tu93OEhIS2FNPPeXzPi655BL2yCOPeG5v3bp12AdtOBhPX202G1u2bBl75ZVXhvXL4XCwuLg49swzz3ju6+7uZiKRiP3tb38LSh98Fei+MjZ1juvrr7/OlErlqPubSsd1rL4yFr7HlTH/+/viiy+yjIwM1t/fH7B9hkow+rp9+3Y2b968QDf1ol3sMXjuueeYXC5nJpOJMRbe71lf0Gm4MNff34+ioiIUFhZ67uNyuSgsLMTRo0fHfD5jDIcOHUJZWRkuvfTSQY8dPnwYarUaM2bMwM9//nN0dHQEvP3+GG9fn3jiCajVatx+++3DHqupqYFWqx20T6VSiYKCAp9+f8ESjL66TZXjajKZkJqaiuTkZGzcuBFnz571PDbVjqu3vrqF23EFxtffjz76CEuXLsW2bdug0WgwZ84cPPnkk7Db7ePeZygEo69uFRUVSEhIQEZGBrZs2YL6+vqg9mUsgTgGr776KjZv3gypVAogfN+zvqKwFOba29tht9uh0WgG3a/RaKDVakd9nl6vh0wmg1AoxFVXXYUXXngBl19+uefxdevW4Y033sChQ4fw29/+Fl9++SXWr18/7E0cSuPp65EjR/Dqq69i165dIz7ufp6/v79gC0ZfgalzXGfMmIHXXnsN+/btw5tvvgmHw4Fly5ahsbERwNQ6rmP1FQjP4wqMr7/V1dV47733YLfbceDAATz66KP43e9+h9/85jfj3mcoBKOvAFBQUIDdu3fj4MGDePHFF1FTU4OVK1fCaDQGtT/eXOwxOHbsGEpLS3HHHXd47gvX96yv+BPdABIccrkcp06dgslkwqFDh3DfffchIyMDl112GQBg8+bNnm3nzp2LvLw8ZGZm4vDhw1i7du0Etdo/RqMRt9xyC3bt2oWYmJiJbk5Q+drXqXBcAWDp0qVYunSp5/ayZcswa9YsvPzyy/j1r389gS0LPF/6OlWOKwA4HA6o1Wr8+c9/Bo/HQ35+PpqamvDMM89g+/btE928gPKlr+vXr/dsn5eXh4KCAqSmpuKdd97xOoIczl599VXMnTsXixcvnuimBAyFpTAXExMDHo8HnU436H6dToe4uLhRn8flcpGVlQUAmD9/Ps6fP4+nnnrKE5aGysjIQExMDCorKyfsH19/+1pVVYXa2lpcffXVnvscDgcAgM/no6yszPM8nU6H+Pj4QfucP39+EHrhm2D0NTMzc9jzJuNxHYlAIMAll1yCyspKAJgyx3UkQ/s6knA4rsD4+hsfHw+BQAAej+e5b9asWdBqtejv7w/I7zAYgtFXoVA47DkqlQo5OTlej3+wXcwx6OnpwZ49e/DEE08Muj9c37O+otNwYU4oFCI/Px+HDh3y3OdwOHDo0KFB/xsdi8PhgMViGfXxxsZGdHR0DPojDjV/+zpz5kyUlJTg1KlTnq9rrrkGq1evxqlTp5CcnIz09HTExcUN2qfBYMB3333n1+8v0ILR15FMxuM6ErvdjpKSEk8/pspxHcnQvo4kHI4rML7+Ll++HJWVlZ6wDwDl5eWIj4+HUCgM2L95gRaMvo7EZDKhqqpq0r5n3333XVgsFtx8882D7g/X96zPJnqGORnbnj17mEgkYrt372bnzp1jP/vZz5hKpfJcXnzLLbewBx980LP9k08+yT799FNWVVXFzp07x5599lnG5/PZrl27GGOMGY1G9stf/pIdPXqU1dTUsM8++4wtWLCAZWdnM7PZPCF9dPO3r0ONdNXQ008/zVQqFdu3bx87c+YM27hxY1hcrhrovk6l4/r444+zf/7zn6yqqooVFRWxzZs3M7FYzM6ePevZZqoc17H6Gs7HlTH/+1tfX8/kcjm76667WFlZGfv444+ZWq1mv/nNb3ze50QJRl/vv/9+dvjwYVZTU8O+/vprVlhYyGJiYlhra2vI+zfQeP99WrFiBdu0adOI+wzX96wvKCxNEi+88AJLSUlhQqGQLV68mH377beex1atWsW2bt3quf3www+zrKwsJhaLWWRkJFu6dCnbs2eP5/He3l52xRVXsNjYWCYQCFhqaiq78847J/wfIjd/+jrUSGHJ4XCwRx99lGk0GiYSidjatWtZWVlZkFrvn0D2dSod11/84heebTUaDduwYQMrLi4etL+pclzH6mu4H1fG/P87/uabb1hBQQETiUQsIyOD7dixg9lsNp/3OZEC3ddNmzax+Ph4JhQKWWJiItu0aROrrKwMVXe88revFy5cYADYp59+OuL+wvk9OxYOY4xN9OgWIYQQQki4ojlLhBBCCCFeUFgihBBCCPGCwhIhhBBCiBcUlgghhBBCvKCwRAghhBDiBYUlQgghhBAvKCwRQgghhHhBYYkQQgghxAsKS4QQQgghXlBYIoSQEaxatQocDgccDgdCoRCzZs3C22+/PdHNIoRMAApLhBAyBGMMJ0+exLPPPouWlhaUlZVh3bp1+MlPfoKampqJbh4hJMQoLBFCyBAVFRUwGo1Yt24d4uLikJ6ejttvvx12ux1lZWUT3TxCSIhRWCKEkCGKiooQGRmJ3NxcAEBjYyMefvhhiEQi5OXlTXDrCCGhxp/oBhBCSLgpLi6GXq+HXC6H3W6H2WyGRCLBSy+9hISEhIluHiEkxDiMMTbRjSCEkHCydu1azJ49G/fccw+6u7vxy1/+EsuXL8eOHTsmummEkAlAYYkQQoaIjIzEiy++iM2bNwMAzp07h7y8PFRWViItLW1iG0cICTmas0QIIQNUV1eju7sbc+bM8dyXm5uLzMxMKh1AyDRFYYkQQgYoKiqCQCBATk7OoPvXrl2LDz74YIJaRQiZSBSWCCFkgOLiYmRnZ0MoFA66v7CwEEVFRWhsbJyglhFCJgrNWSKEEEII8YJGlgghhBBCvKCwRAghhBDiBYUlQgghhBAvKCwRQgghhHhBYYkQQgghxAsKS4QQQgghXlBYIoQQQgjxgsISIYQQQogXFJYIIYQQQrygsEQIIYQQ4gWFJUIIIYQQL/4/acBwxRRh/JkAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.orbit import Orbit\n", "\n", "numpy.random.seed(1)\n", "ii = numpy.random.permutation(len(R))[0]\n", "o = Orbit([R[ii], vR[ii], vT[ii], z[ii], vz[ii]])\n", "ts = numpy.linspace(0.0, 100.0, 1001)\n", "o.integrate(ts, spi_c)\n", "o.plot();" ] }, { "cell_type": "markdown", "id": "4e2204e6", "metadata": { "papermill": { "duration": 0.005063, "end_time": "2026-05-16T13:54:50.447880+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.442817+00:00", "status": "completed" }, "tags": [] }, "source": [ "Now compute actions for all selected particles using `actionAngleStaeckel`:" ] }, { "cell_type": "code", "execution_count": 15, "id": "26080bbf", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:54:50.459435Z", "iopub.status.busy": "2026-05-16T13:54:50.459205Z", "iopub.status.idle": "2026-05-16T13:54:50.544138Z", "shell.execute_reply": "2026-05-16T13:54:50.543600Z" }, "papermill": { "duration": 0.092679, "end_time": "2026-05-16T13:54:50.545700+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.453021+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from galpy.actionAngle import actionAngleStaeckel\n", "\n", "aAS = actionAngleStaeckel(pot=spi_c, delta=0.45, c=True)\n", "jr, lz, jz = aAS(R, vR, vT, z, vz)" ] }, { "cell_type": "markdown", "id": "17b4602f", "metadata": { "papermill": { "duration": 0.005524, "end_time": "2026-05-16T13:54:50.558709+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.553185+00:00", "status": "completed" }, "tags": [] }, "source": [ "Plot the distribution of angular momentum $L_z$ vs. radial action $J_R$:" ] }, { "cell_type": "code", "execution_count": 16, "id": "6edb5863", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:54:50.570589Z", "iopub.status.busy": "2026-05-16T13:54:50.570367Z", "iopub.status.idle": "2026-05-16T13:54:50.796451Z", "shell.execute_reply": "2026-05-16T13:54:50.795536Z" }, "papermill": { "duration": 0.233206, "end_time": "2026-05-16T13:54:50.797373+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.564167+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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AoG7dumzduhUbG5s0sdvOzo61a9dy9erVNOlfIBBkT8SenZ727L4mM+zZfWnLiRMn+Oeff/j333/jOeYUKVIkjvhVqFABpVLJlStX6N27N48fP0apVDJ9+nSmT5+udVqylOzZ3bx5kxo1amBubs67d+9SHKsnEAiyB9o+x4XYfQNiJ0lSvJlZYm1DQ0O5cOECZ86c4ezZs1y5ciVOxQKAfPny8d133+Hl5UVMTAzW1tb89ddf1K1bN82CyjX2R0dHkydPHiIiIvDx8UnTyhECgSDro+1zXHxtzsK8e/eONm3aYGtry5MnT7Q6J0+ePDRv3pzffvsNb29v3rx5g7u7OzNnzqRJkybkyJGDt2/f4u7uTkxMDF26dOHKlSsJljVKC4yMjKhevTqAWMoUCAR6Q+zZEVtORp8xd6Cbg4W2y5Nfzhb9/Pxo3749vr6+AMycOZO//vpLfl/bpcbcuXPTtGlTOaYtKiqK69evc+HCBcqWLUurVq3iXIsuS6kpdTKxs7Pj4sWLXL16NdM4/AgEgqyNmNllQS5cuEDDhg3x9fWlcOHCAOzcuZP//vsv1X0bGxtTu3Ztxo4dS+vWrTPEK9LOzg6AK1eupPvYAoHg20SIXRZjz549ODs78+bNG7777jsuXrxI586dkSSJmTNnZrR5SaJSqdi8eTO7d+/m6dOnie5rasTu+vXr8ow7ICAALy8vAgIC0s1egUDw7SAcVP7f60/fDir6XsaUJInFixczbdo0AFq3bs327dvJmTMnPj4+VKtWTa7uXbdu3TQr5KrLMubX1dJXr17NiBEj5N/z5cuHnZ2dnKbMzs6OIkWKyJXPP3/+zN27d7lw4QJDhgxBrVajVCpZt24dAwcO1Ns1CQSCrIvwxtSCrCJ2MTExjB49mg0bNgAwatQoFi1aFEdMhg8fzsaNG6lfvz4eHh5pVik9NWJXo0YNbt68ibW1NS9fvoznBQpQqFAhatWqJWekWbp0KRMmTIgzroGBAU+fPo1TLVwgEGRPhNglwZeJoH18fDK92G3cuJFhw4YBsGTJEkaPHh2vTUBAAOXKlSM6Oprr16/LHo36JqVi5+vrK2du8fLyIiwsjGPHjnHgwAFevXqVaB8mJiZERkbGe93Ly0ur/JwCgeDbRuTGTIKRI0cycuRI+SZldipVqoRCoUCSJNkh5WuUSqVcsDWtUnmlhiJFilC8eHGeP3+Oo6Oj1ufVq1cPb2/veDO7MmXKpIWZAoHgG0U4qGQBateuzeTJkwEYMWIEz549i9fmwIEDSJJE7dq1M+XyXs6cOdmxYwe5c+fG3NycSpUq0aJFCwYPHsycOXPYvHkz7u7uPHjwgLCwMNq1awdA586dWbdunTxLNDAwYO3atZnyGgUCQeYlW87ssiIzZ87E09OTy5cv07dvX9zd3eM4oezbtw+ATp06ZZSJydKgQQNCQkK0WuJ9/vw5AMWLF6dNmzY0b94cPz8/ypQpI4ROIBDojJjZZRGMjIzYunUruXPn5ty5cyxYsEB+LzAwkDNnzgDw/fff62W8Dx8+8PnzZ7309SXa7mV+KXYQW4evcePGQugEAkGKEGKXhShVqhR//PEHAL/99hvnz58H4ODBg0iSRK1atShRokSqxzl58iTW1tYUL16cP//8U+/ZZZIjIiKCN2/eAP8Tu6TYunUrdevWxdPTM61NEwgEWRQhdsQ6d2hzJFTqJ7FDrVZrfRgYGGh1KBQKevbsSc+ePVGr1fTp04eQkBB5CbNz587y+AkVnU3siI6Olo+///6b1q1b8/HjR96/f8+oUaOws7Pj9OnTREdH69SvLvfgSzSB42ZmZlhaWib5t1u/fj19+/blwoULtG7dmpMnT6bNh0QgEGRphNhlQVauXEmpUqV49uwZvXv35tSpU0DqlzBdXFzo3bs30dHRdOrUieXLl2NhYcGtW7do3LgxgwYNIigoSB+XkCSaJcxixYoluey5fv16hgwZAoCNjQ0RERG0bdtWCJ5AIIiHELssSJ48edi2bRuGhoa4urqiVqupWbMmJUuWTFF/kiQxe/Zsxo0bhyRJDBs2jG3btjF8+HDu3LlD//79Adi2bRsVK1Zk5cqVcphDWvD1fl1CfCl0Y8aM4cGDB7Rp00YInkAgSBAhdlkUe3t7Zs+eLf+eUi9MlUrFyJEjmT9/PgCzZs1i+fLlsqt//vz5WbNmDWfPnqVmzZqEhoYyfvx4eWkzLUhO7L4WuqVLl2JiYsKePXuE4AkEggQRYpeFmTBhAu3atSN//vz06NFD5/MjIiLo0qULGzduRKlUsmrVKqZNm5bg0mGtWrU4c+YMq1evJl++fNy9e5emTZvSu3dv2ZlEX2j27BISu4SETmNvQoLn4eGhV9sEAkHWRIhdFsbAwIDly5ezffv2RDOrJMVPP/3EgQMHMDY25p9//mHw4MHJjjdo0CDu3r1L27ZtgdjSQnPmzEmR/YkRGBgIxM4qv2Tnzp2JCp2GrwVv1KhRerVNIBBkTbKl2Lm4uFCxYkVq1aqV0aakioMHD1KtWjWaN29O1apV2bJlC1FRUVqdu2vXLjZs2IBCoWDPnj106NBBq/MkSeLIkSOym7+VlVWKZpVJYWNjAyAXpoXYcIg+ffoAseneEhI6DSYmJrIAh4SE6NU2gUCQRZGyMSEhIRIgffjwQVKr1ckeKpVK6yM6OjrOERQUJC1fvlx6/PhxvPe0GVutVsvtIyIipKlTp0qABEhKpVL+uVixYtLixYulkJCQRG3z9fWV8uTJIwHS9OnTpcjISK2O4OBgqVu3bvJYjo6Okr+/f7zr0Ry63K8v2b59uwRIderUkSRJkq5duyblypVLAqQuXbrEa58QZ86ckQCpTJkyafLZEQgEmQPNczwkJCTJdkLs0knsfvjhBwmQcuXKJS1atEgKDw9PkdgFBgZKzs7OsuCMHj1aCgoKkhYuXCgVLlxYfj1v3rzSzJkzpdevX8exKzw8XLK3t5cAqV69eloL3blz56SSJUtKgGRgYCD9+uuvUkRERKJClxqxe/jwoQRIOXLkkB48eCAVKFBAAqQmTZpIERERWv1tXV1dJUCqVq1aGnxyBAJBZkGInRakl9g9e/ZMMjQ0lIVI8xA+d+6cTmJ3+fJlycbGRhaCrVu3xhknLCxMWr16tVSmTBl5HDMzM+mnn36Snj59KqlUKmnChAkSIFlaWkpPnjyRVCpVkiIXHh4uzZs3T7bf2tpaOnXqVJIil1qxU6lU8szTyspKAqTq1asn+2H+kj179siCLhAIvl2E2GmBtjdJg7aipFarpaioKPmYNWuWvCy3Zs0aydLSUgIkhUIhDRs2TAoODk5WODZt2iSZmppKgFSqVCnp6tWrccb48ggPD5d27NghVa9eXRY9Q0NDqW3btvLvu3fvltsnJkAvX76MM4vs1KmT9ObNGykmJkarIzU4OjrK45YsWVJ69eqVTuf/9ddfEiA5Ozun2IZ9+/ZJv/32m9azSYFAkP4IsdOC9BC7z58/S0WLFpUA6a+//pKioqKkgIAAqWfPnvLDvFChQtL27dulqKioeCL36dMnafjw4XLbli1bSkFBQYkK3ZdHZGSkdPToUalRo0ZxZpUjRoyI0y4hoTt+/LhUsGBBeRa5Zs0arUVOH2I3adIkCZDy588v+fr66nz+n3/+KQHS999/n6LxXVxc5PvVpk2bTCF4z58/lzw9PaXnz59ntCkCQaZBiJ0WpIfY7d69W35of/z4MY7IuLm5Sba2tvJDtVmzZtL9+/dlofP395fq1Kkjvz9jxgwpIiJCK6H7+jhz5ozUuXNnqWvXrlJoaGiiYvfp0yfpp59+ksesXLmydPv2bfn99BK7Fy9eSD/99JN0+/btFJ2/aNEiCZB69eql87lfCp3G+SejBW/Dhg2yLUqlUtqwYUOG2SIQZCaE2GlBeoidk5OTBEgTJkxIUIQ+fvwozZo1SzIxMZEAycTERPrll18kNzc3qVChQhIgmZubSwcOHEiRyGlzaITsxo0bUuXKleUH/fDhw6WwsLA4YpheYpdaZs+eLQHS0KFDdTrvS6GbMGGC5O7uLi8fZ5TgPX/+PI7HrcZJSMzwBAIhdlqR1mJ39+5deW/u4cOHiYpNdHS0dO/ePalp06ZxHmiAVKlSJXm2l1ZiFx0dLS1evFgyNjaWAKlAgQLSoUOHElzezCpiN3HiRAmQfvjhB61F4WuhU6vVkiRJ0smTJzNU8Dw9PeN9LgDJy8srXe0QCDIjWVbsVq1aJVlbW0smJiaSvb29dOnSpUTbbt68Od4DwMTEROux0lrsxo4dKwFSixYtkhUbjZht3bpVdrXv2rWr9OHDhzjv6/t49epVHJFt06aN9OrVq0SdVrKK2DVu3DjOUmRyy37r1q1LUOg0fC146Xl9YmYnECROlhS7nTt3SsbGxtKmTZuku3fvSoMHD5YsLCykoKCgBNtv3rxZypMnj/Tq1Sv5CAwM1Hq8tBS7iIgIWbT27dunldhpjrdv30rnz5+P915aiN2cOXPkEIXVq1dLMTExSYYIZAWx8/b2jvclKDlxKF68uARIDg4O8YROw4IFC+T+rl69mlbmJ8iGDRskAwMD+VrEnp1AEIu2z/FMlS5s6dKlDB48mP79+1OxYkXWrFmDmZkZmzZtSvQchUJBoUKF5KNgwYKJto2MjCQ0NDTOkVZcv36d169fkzt3bpydnXU6N0+ePNSqVSvJWm76IiIiAoB+/foxZMiQdBkzLXn48GGCFSBUKhV+fn6Jnjd16lQALl26xIwZM5AkKc773t7ecgqyFi1aUL16df0ZrQUDBw7k6dOneHl58fTpUwYOHJiu4wsEWZ1MI3ZRUVFcu3YNJycn+TWlUomTkxMXLlxI9LywsDCsra0pXrw47du35+7du4m2nT9/Pubm5vKRVL201HL8+HEAmjZtirGxcZqNk1o0D/WsLnIQK3SOjo68ffs23nsGBgaUKVMm0XOHDx/OihUrAJg3b14cwfP29qZ169Z8/vyZFi1asH//frkEUnpSrFgxGjduTLFixdJ9bIEgq5NpxO7NmzeoVKp4M7OCBQvKWfC/ply5cmzatImDBw+yfft21Go1devWlUvEfM3UqVMJCQmRD03dtLTA1dUVgJYtW6bZGIL/oRG6V69eUblyZZYtWyYLkoGBAWvXrk1WJH788cd4gpeQ0Jmamqb59QgEAv1imNEGpIY6depQp04d+fe6detSoUIF1q5dy6+//hqvvYmJCSYmJmlu1+vXr7l69SoAzZs3T/PxUkNWntlJksTjx4+5cOECkyZNkoXO09OT/Pnz07lzZ/z8/ChTpozWs6Eff/wRiC1/NG/ePObNmwcghE4gyOJkGrGzsrLCwMCAoKCgOK8HBQVRqFAhrfowMjKiRo0aSe7NaIMkSahUKgwN494ebQXBzc0NSZKoXr06BQsWRKVSJdle236VyrSdiH+9T5XSNmnFp0+fuHLlChcvXuTChQtcvHiR169fy+9/KXQQu+yXkiW/LwUPhNAJBN8CmUbsjI2NqVmzJh4eHnJtNbVajYeHh9YFOFUqFbdv36ZVq1apsuX27ds0aNAABwcHypUrR4cOHWjSpInWonTs2DEg88/qviSzzOwkSSIyMpKwsDDevHnDlStXZGH777//4n1xMDIy4rvvvqNhw4ZMmjQJKysrvdjx448/0r59e0xMTLCwsBBCJxBkcTKN2AGMGzeOvn37Ymdnh729PcuXL+fTp0/0798fgD59+lC0aFHmz58PwJw5c6hduzZlypThw4cPLFq0CH9/fwYNGpQqO7y9vQkNDcXd3R13d3dWrVqFubk5rVu3pmnTpjRt2hRra+sEz42JieHEiRNA1hC79Jypffr0iV9++QV/f3/CwsLk49OnT3F+T2omXLRoUXn5uk6dOtSoUSPNhCixv7FAIMh6ZCqx69q1K8HBwcycOZPAwECqV6+Oq6ur7LTy7NmzOEt579+/Z/DgwQQGBmJpaUnNmjU5f/48FStWTJUd7du3Z8yYMXGEICQkhL///pu///4bgDJlytC0aVOcnJxo3749RkZGAFy8eJH379+TN29e7O3tU2XHt8a+fftYtGiR1u3NzMyoWrVqHHETnogCgSAlZCqxAxg1alSiy5be3t5xfl+2bBnLli3Tuw2PHz9OcMbTq1cv/Pz8uHLlCn5+fvj5+bF27VqmTp0qOzJoljCdnJwyxD1dV9LTQeXx48cANGzYkH79+pErVy5y5cpFzpw55Z+/fC0r3D+BQJA1yHRilxmwtbVFqVSiVqvl15RKJRMmTMDCwoLAwEBcXV1Zvnw5Hz584P79+3I7jdi1aNEi3e1ODck50egDTUhI06ZN5aXppOyJjo6WZ8z64tmzZ/j6+uq0BysQCLI+QuwS4N69e+TOnZuQkBD5NbVanWjWjKioKCB2qfPWrVsAcYLjMzOaJeL169dTqVIlBg8enGYi8PnzZwBmzZrFkSNHiIyMjHNERETIP6tUKhQKBS1btmTixIk0atQoVXb5+voyf/58tm3bRkxMDGPGjGHp0qVC8ASCbEKmCSrPTEiSFEfovsTU1BRLS0uKFi2Kra0tdnZ2jBs3DogNbAYoXLiw7P6e2RkwYADt27cnKiqKESNGMGjQIMLDw9NkrHbt2sk/X7lyhf/++4+HDx/y9OlTXr16xfv37/n8+bM8y5QkiWPHjuHo6Ii9vT27du0iJiZGpzHv3r1Lz549KV++PJs3b5bPX758Ob/88ov+Lk4gEGRqFFJGBk5lMKGhoZibmxMSEkKePHnivP7o0SPMzMwwMzMjR44cmJmZYWpqmmSs29atW+nbty+NGzeW04VpQ0bH2SkUChYtWsSMGTPkGey///5LqVKl4rXV5ePydZyiJEmcPHmS0NBQOcA/qePNmzesXLmSzZs3yzk8bWxsGDt2LAMGDCBXrlyJjn3jxg3mzp3L3r175ddat27N9OnTuXr1qhxLt3jxYsaPH6/1NQkEgsxFYs/xeKRBEuosg65VD5Jj2rRpcsHQ8PBwrY+IiAitjrSqZ6epUuDm5iblz59fAiQLCwvp8OHD8SoZfF2hIalDX7x+/VqaPXu2ZGVlJVcdsLS0lKZPny69evUqTtuLFy9Kbdq0iVPxoGPHjtK1a9fitJs7d678/tq1a/Vmq0AgSF+yZNWD9MLFxYWKFStSq1Ytvfb74MEDAMqXL6/XftOLJk2acOXKFRwcHPjw4QOdOnXiypUrGW0W+fPnZ9asWfj7+7N69WrKlCnD+/fvmTt3LtbW1gwePJh9+/bh7OxM7dq1OXLkCEqlkh49enDnzh327t3Ld999F6fPqVOnMnnyZACGDRvGP//8kxGXJhAI0gmxjGluzvv375Oe/v4/yd2qatWqcffuXQ4fPqxTQPmXXp9Jocsypi5/1q+XUaOioujWrRtHjhzB2tqaS5cukTdvXiD+0qS+0MVeSZI4dOgQixYtilcRw9DQkN69ezNlyhTKli2bpJepJEmMHj2aNWvWYGhoyL59+2jbtm2Kr0EgEKQ/2i5jCrHTk9ipVCpy585NVFQUvr6+OmXfyGxiB/Dhwwfq1KnDo0ePaNWqFfv27UOpVGYKsfvyPpw/f55FixZx+fJl2rVrx+TJk7GxsZHfTy6kQq1WM2DAALZv346JiQnHjh2jSZMmOtsvEAgyBiF2WqBPsXv06BHlypXDxMSE0NBQnVzaM6PYAdy8eZMGDRoQGRnJb7/9xqRJkzKd2CWHNvGDMTExdOvWjQMHDpAzZ05OnjxJ7dq1tR5DIBBkHNqKXbbcs0sLNGEHZcuW/WYyf1SvXp2VK1cCMHPmTE6dOpXBFqUNhoaG7Nixg2bNmvHp0ydatmwpx0sKBIJvAyF2euJLsfuW6NevH71790atVtOrVy9evXqV0SalCSYmJuzfv5969erx4cMHnJ2d5b+pQCDI+gix0xM+Pj5AbPX0bwmFQsEff/xB5cqVCQoKonv37nLGmG+NnDlzcvToUb777jtev36Nk5MT7969y2izBAKBHhBipyc+fPgAgIWFRYbakRaYmZmxc+dOcufOzenTpxk+fHiGFnFNS8zNzXF1dcXGxoaAgAA516lAIMjaCLHTE2XKlAFiczB+i5QtW5bt27ejVCrZvHkzCxcuzGiT0oz8+fPTuHFjIDZxtL45f/68WCIVCNIZIXZ6okKFCsD/Asu/RVq2bMny5csBmDZtGrt3785Yg9KQEiVKAPoXuxUrVlCvXj2qV6+Ou7u7XvsWCASJI8ROT2iypnzLYgex9QZHjx4NQN++fbl48WIGW5Q2aMTO399fb32uWLGCMWPGABAREUG7du2E4AkE6YQQOz2hcUwJDg7m7du3GWxN2rJ06VLatGlDREQE7du358mTJxltkt7RJAXQ18zuS6GbMmUK7dq1E4InEKQj2TKo3MXFBRcXF1QqFT4+Prx9+1aroPLkAqqtra159uwZZ86c0SnvprZxeWn1p9IlAF5jQ1hYGI6Ojty6dYvy5cvj5uaGmZkZkiQhSRJqtTrBfw0NDRMsf5RWweq68OV98PHxoVy5cuTKlUvnJAFfIkkSK1asYOzYsUDs8u+vv/5KdHQ0P/zwA4cPH8bU1JSDBw/i7Oysl+sQCLITIoOKFmhukr7ErkWLFpw4cYL169fTu3dvre3IimIH8OLFC+rXr8+LFy90Gq9r165s2rQpThXyzCZ24eHhmJmZAfDu3TssLS1T1Ofy5cvjCZ1mnKioqDiCd+jQIZo1a5bKqxAIshcig0oGoNm3u3//fgZbkj4ULVqU/fv3U6xYsWTbKhQKOc3Xrl27GDhwoFapvDKKHDlyyFXc161bl6I+EprRfSmoxsbG7N69m7Zt24olTYEgjRFip0c0HpnZRewgNqWYr68vHz58IDQ0lI8fP/Lp0yc+f/5MeHg4kZGRREVFERkZSUREBPv378fQ0JCdO3cycuTITB2vp6lAP2XKFJYsWaLTuV/u0SUkdBqE4AkE6YMQOz2SHcUOYpdhNZXcTUxMMDIywtDQEAMDg3gP+NatW7N161aUSiWbNm1i/PjxmVbwJk6cyMyZMwGYMGGC1oKnrdBpEIInEKQ9Quz0SKlSpYBYd/XPnz9nsDWZl86dO8tLg6tWrWLNmjUZbFHCKBQKZs+eHUfwmjVrxsKFC7l69Wq8ZVhJkvjtt99koZs+fXqyQqfB2NiYPXv2xBG8Gzdu6P2aBILsihA7PRETE8OPP/4IQL58+TA2Ns5gizI3UVFRsmOOPmPZ9I1CoeCXX35h9uzZAJw8eZIpU6ZQq1Yt8uXLR4cOHVi5ciXXr1+nS5cu/Pzzz4BuQqdBI3hOTk5ERESkeK9QIBDER3hj6sEbU5IkBg8ezMaNGzE2NsbV1ZW6detqbUdW9cZMCSqVimnTprFs2TIAevTowdq1a8mZM2eq+tUHyd2H+/fv4+7ujqenJ97e3oSEhMRrY2RkhIuLC4MHDwZSVlfQ1dWVli1bUrhwYQICAnSq3ycQZDdE6IEW6Evspk6dyoIFC1AqlezZs4fvv/+eyMhIre3ILmIXHh5O7969OXToEACzZs1i2rRpKBSKTBd6IEkS7u7uREVF0aZNm3htY2JiuHHjBp6ennh4eHD27FkKFSrE9u3b43zRSYnYRUVFkT9/fkJDQ7lw4YIoJCsQJIEIPUgnli5dyoIFCwBYu3Yt33//fQZblHn56aefOHToECYmJmzdupXp06enOFg7rYiKimLr1q1UrVqV5s2b07ZtW65duxavnaGhIbVq1WLy5Mm4ubkRGhrKo0ePdJrRJ4axsTGtWrUC4MCBA6nuTyAQCLFLFatWrWL8+PEAzJ8/n0GDBmWwRZmXLVu2sGXLFpRKJfv376dbt24ZbVIcPn78yNKlSyldujR9+/blzp078nsnTpxI9nxDQ0O9CrfmS9P+/fszrbeqQJCVEMuY5uZ8+PBBq2VMTdFSSZL4+eefWbx4MQBjxoxh/vz5cR52uizLRUdHa9VOl4dpWu3z6PJx0Tjp3Lp1i9q1axMREcHcuXOZNm1avLZqtVrrfnVpm9zfITAwkJUrV/Lnn3/Ke3CFChVizJgxqFQqpk+fTtOmTTl58qR8TkqWJnUlNDSU/PnzExUVxb179+SwFoFAEBexjJkELi4uVKxYUaf8lRqio6MZNGiQLHSzZ8+OJ3SC/xESEkLnzp2JiIigVatWTJkyJaNNAuDhw4cMGTIEa2tr5s+fT0hICOXKlWPDhg08ffqUyZMn07FjRwDOnTtHREREutqXJ08emjZtCsTO7gQCQerIlmI3cuRI7t27x5UrV3Q67+PHj3z//ffs2LEDAwMD1q5dy5QpU7QSuocPHzJnzhxevnyZUrOzHJIkMWDAAPz8/LC2tmbbtm0Z7ln49OlTOnbsSIUKFVi/fj1RUVHUqVOHAwcOcO/ePQYOHIiJiQkQW8micOHCREREcOHChXS3VbOU6eLiwqNHj9J9fIHgWyJbil1KCAoKwtnZmZMnT2JmZsa+ffvo27evVueePn2aevXqMWfOHJo3b867d+/S2NrMwbJly9i3bx9GRkbs3r2bvHnzZrRJ9O/fX94Ha9euHWfPnuX8+fO0b98+nhArFAqaNGkCgKenZ7rb2q1bN8qXL8/Lly9xdHQUgicQpAIhdlrg6+tL3bp1uXHjBvnz58fNzY3mzZtrde7evXtp2bIlHz58AGJjtdq1a/fNZ1g5d+4ckyZNAmIz/6dkyVjfhISEcObMGQAuX77MwYMHqVevXpLnZKTY5c6dGy8vL8qXL8/z58+F4AkEqUCIXTKEh4fj6OjIkydPKFmyJN7e3tjZ2Wl17vnz5+nWrRuRkZG0b9+eixcvYmFhwcWLF5k4cWIaW55xvHv3jt69e6NSqejRowfDhw/PaJOA2Bm2JsVXtWrVtDpHs2926dKlDMl5WqhQoTiC5+zsTExMTLrbIRBkdYTYJYOPjw8vX74kT548eHt7U7p0aa3PVSgUsude48aNqVixIgUKFAB08yjMaowfP54XL15Qrlw51q5dm2mcdwoWLCgH8Hfq1EkrpxNra2vq16+PSqXC0dExwwRv6dKlALx9+zbT3E+BICshxC4ZQkNDgdgHpaa+mbbUqVOHuXPnArEC0LZtW3x8fChcuDC//fab3m3NDBw8eJC///4bpVLJX3/9Ra5cudJ0vIiICH7++WcqVarEunXrkgwLsLe359ChQ5iamnLkyBHatm3Lp0+fkh3jwIEDVKtWjaCgoAwTvKNHjwLQoUMHrTPuCASC/yHELhk+fvwIxO6fpIRJkyYxaNAg1Go1p06dAmDjxo3ky5dPbzZmFt68ecOoUaOAWHF3cHBI0/EuXbqEvb09CxYswMfHh5EjR9K+fXtevXqV6DmtWrXi+PHj5MyZk5MnT9KiRQv5C01i5MuXDw8PD1nwmjRpkiLBU6vV/PPPP1SsWBFHR0etqxrExMSwe/dugEwXjC8QZBWE2CVDasVOoVCwatUq2aHlxx9/xNnZWW/2ZSbGjBnD69evqVixopz9Py0IDw9nypQpNGzYkPv371OwYEHGjBmDiYkJx48fp0aNGuzduzfR8xs3bszJkycxNzfn7NmzNG3aNFkP2dQKnru7O3Z2dvTo0YP79+/Le78jR47k/fv3SZ576tQpXr9+Tb58+eQ9RIFAoBtC7JJBI3baZFhJDENDQw4dOsTly5d1rnidVdi7dy+7d+/GwMCAjRs3yrFq+ubChQvUqlWLJUuWoFar6dGjB//99x+LFi3i0qVLVK9enbdv39KtWzf69u0re8F+Te3atfH09CRfvnxcvXqVxo0bExQUlOTYKRG8a9eu4eTkhLOzMzdu3CBPnjzMmTOHbt26oVar+fPPPylbtiwbN25MdB93586dAHTs2BEjI6Pkb5JAIIiPlI0JCQmRAOn9+/eSSqVK8Fi8eLEESN27d5ciIiK0PiIjI7U+Pn/+rNURFhaWJkdUVJTWR0xMTLzj5cuXkpWVlQRI06dPl19P7J4mdERHRyd5hISESGPGjJEUCoUESIULF5b2798fr92nT5+kqVOnSkqlUgKkYsWKSSdOnEi035s3b0qFChWSAKls2bLS8+fPk/3cvHnzRqpWrZoESAULFpTu3bsXr42vr6/UtWtXCZAAydjYWBo7dqwUHBwst/H09JQqVqwot7G3t5euXLkSp5+oqCgpb968EiB5eHik/kMvEHxjaJ7jISEhSbYTM7tkSO0y5reOJEmMHDmSN2/eUK1aNaZPn673Mc6ePYudnR3Lly9HkiR69+7NrVu3Eiy9Y2xszJw5c/D29qZMmTIEBATQvHlzxo0bR3h4eLz2lSpVwtPTk+LFi+Pj40ODBg14/PhxkvZ8PcP70mklKCiIUaNGUaFCBXbt2oVCoaB37948fPiQpUuXYmVlJffj6OjIzZs3Wbp0Kblz5+by5cvY29szdOhQ3r59C8QWi3337h0FCxakUaNGqbmNAkG2RohdMuhjGfNb5fXr17Rv3579+/djaGjIpk2b9Fqh/dOnT4wbN44mTZrg6+tL0aJFOXToEJs2bcLS0jLJc+vUqcPVq1cZMmQIAH/88QcODg4JluuxtbXFy8uL0qVL8/TpUxo2bMiDBw+S7D8hwZs8eTKlS5fGxcWFmJgYWrZsyY0bN9i6dSs2NjYJ9mNkZMTYsWN5+PAhvXr1QpIk1q1bR9myZZk/f74cctC5c2fhhSkQpIJsKXa6JIIWM7uEOX78ONWrV+fYsWMYGxuzZs0arQO1teHu3bvUrFmTP/74A0mS6NevHzdv3qRly5Za95EzZ05cXFw4fPgwhQsX5v79+9SvX5+5c+fKweUarK2tOX36NBUqVODFixc0atSI//77L8n+vxa833//nU+fPlGrVi08PT05duyY1vekcOHCbNu2jdOnT1OlShXevXvHtGnT5GoLmaGSu0CQlcmWYqdLImiNW7oQu1jCw8MZM2YMbdu25fXr11SqVImLFy/Sr18/vY3x6tUr2rZty6NHjyhWrBhHjhxh/fr1WFhYpKi/Fi1acOPGDTp37kxMTAyzZ8+mX79+8UorFSlShFOnTlG9enVev35N48aNk/2MaASvQYMGVKlShd27d3Pp0iUcHR1TZGuDBg04dOhQvMDxxYsXExAQkKI+BQIBaF90LZuiidlK6+DorMKYMWPYuHEjAKNHj2bevHnkyJFDr2OMHz+e58+fY2lpibe3N5aWloSEhCBJEpIkoVar5Z81B8Tu1xkbG2NkZISRkVEcwciXLx9///03LVu2ZNCgQezcuZPq1avLxXc15M+fH09PT1q2bMmlS5do06YNz549S9K7NF++fJw+fVpv1//kyZN4wfFqtRo/Pz+KFSumt3EEguyEELskOHXqFKdPn0apVFK/fv2MNidToEmxNWzYMJYtW5YmY1SsWBGA9+/fU6ZMmRT3Y2RkJAugRgQNDAxkIUmsb0tLS9zd3bG0tOT169e8efOGokWLptgOXbG1tUWpVMYJRTAwMEjVvRAIsjvZchlTG1QqFWPHjgVgyJAhlCtXLoMtyhxoqgQ8fPgwzcaYPn06CxYsoFevXqnqJzo6mk+fPvH+/XuCgoIICAjA398fgN9//5327dsnem7u3Lnl2VxkZGSc9wICAvDy8krRsmJMTAwLFixg+/btibYpVqwY69atkx1SNLUTxaxOIEg5Cunr9ZJshKac+/v37+N5W65fv55hw4ZhYWHBw4cPsbKyirfHkxS6JOv92lkiMdIqebQuHpT379+nWrVqmJmZ8fbt2ySDnHW5BwldW3R0NDExMSgUimQPSZKIiYkhKiqK6OhooqKi4v2s+b1AgQKUKlUq3niGhnEXOiwtLfnw4QP379+nfPnyQGyqtyFDhqBWq1Eqlaxbt46BAwdqdY0xMTH06NFDTv3122+/JRmqERAQgJ+fH2XKlBFCJxAkguY5HhISkqTXvBC7BMQuJCSEcuXKERwczNKlS/npp58AhNj9PwULFuT9+/ecP38ee3v7RNulVuzSm6/FrlChQgQFBXHr1i2qVq3KlStXqF27drzlxadPnyYrRl8KnYGBgfw3T07wBAJB0mgrdmIZMwHmzp1LcHAw5cqVY8SIERltTqZCqVRSt25dILZA67eMxvvTx8eHjRs34uDgEE+UVSoVfn5+SfbzpdAZGRlx4MAB5s2bB8CMGTPkyhgCgSDtyHRi5+Ligo2NDaampjg4OHD58mWtztu5cycKhYIOHTroPKZKpZKP0NBQ/vrrLyB2X0epVMrvfe0BmNQRHR2t9aFWq7U60oovl/mSOxQKBQ0aNABixS65pUVtDwMDA60PpVKp9WFoaKj18TXt2rUD/rd0mdAiSHKOI9HR0XGEbu/evbRu3ZopU6bIIjdjxoxvtuSTQJBZyFRit2vXLsaNG8esWbO4fv061apVo3nz5rx+/TrJ854+fcqECRPkh3BqyJkzJzdu3GDJkiU6BTBnJzROKufOnUuyflxWR+Mg4+HhkeCXDaVSmaTjSExMDD179owjdF+mOJs6daoseD///LOY4QkEaUim2rNzcHCgVq1arFq1CojdxylevDijR49mypQpCZ6jUqlo2LAhAwYM4MyZM3z48IEDBw5oNZ5mrffNmzdapQPTdm9N17ZZiRw5chAZGYmlpSWRkZHcv3+fsmXLJthWl4+WUqn996606jchqlatyu3bt+NUndf0e/HixUSz8Hy9dPm10H3J/Pnz5X07sYcnEOhGltuzi4qKksuhaFAqlTg5OXHhwoVEz5szZw4FChTQyiMuMjKS0NDQOIdAd0xMTGTHlDNnzmSwNWmLZnZna2sbJxRg3bp1ehE6iDvDE3t4AkHakGnE7s2bN6hUKgoWLBjn9YIFCxIYGJjgOWfPnmXjxo2sX79eqzHmz5+Pubm5fBQvXjzVdmdXNEH237qTSvfu3VEoFPj4+LBlyxb++ecf7t+/n+iXq9DQ0CSXLhNj6tSpwmlFIEhDsmwGlY8fP9K7d2/Wr18fp2xKUkydOpVx48bJv4eGhgrBSyGafbtvfWZXvHhxGjdujJeXF71795Zfz5MnDwULFqRgwYIUKlSIggUL4ufnh6enJ9HR0RgZGbFv3z5at26t9VhTp04lIiKCOXPmMGPGDDp27EiFChXS4rIEgmxHphE7KysrDAwM4lWLDgoKolChQvHaP3r0iKdPn9K2bVv5NY0TgaGhIQ8fPqR06dJxzjExMUmzCtrZjXr16mFoaMjjx495/PhxgkHa3wq//fYbkyZNIiAggKCgICIiIuRlcF9f33jty5Yty4oVK2jRooVO+4sqlUpOPF2iRAnxRUwg0COZRuyMjY2pWbMmHh4ecviAWq3Gw8ODUaNGxWtfvnx5bt++Hee1GTNm8PHjR1asWCEeFGlMnjx5qFOnDmfOnMHd3Z2hQ4dmtElpRt26dTl79iwQ6xwTGhpKUFAQgYGB8r+BgYFYWFjQtm1bOduKrsycOZPjx49jamrK/v37RfJxgUCPZBqxAxg3bhx9+/bFzs4Oe3t7li9fzqdPn+jfvz8Affr0oWjRosyfPx9TU1MqV64c53xNEPDXrwvShmbNmmULsfsShUIh7/km5oWaEvbs2SPv2W3YsIHvvvtOb30LBIJMJnZdu3YlODiYmTNnEhgYSPXq1XF1dZWdVp49e5ZqV3KB/mjWrBkzZ87E09OTmJiYBAOzBclz+/Zt+QvduHHj6NmzZwZbJBB8e2SqOLv0RsTZ6c6Xtes03rPv37/n7Nmz1KlTJ07bbyHOLrUkZ+u7d++wt7fn8ePHNG3aFFdXV/GlQSDQAW3j7MT/KpDTWyXH16VekkKXh6y2CaaTqjDwNbokd9bVieJLmjRpwt69ezlx4kS8pNC6PLR1sUGXtrok79b2/sbExGjdZ1L3QKVS0aNHDx4/foyNjQ27du0SQicQpBFiTVCQKpo1awbAvn37iIqKymBrkkeSJLkAbXJER0fz7t27NLNl2rRpuLm5kSNHDg4cOEC+fPnSbCyBILsjxE6QKtq0aYO5uTl3795l2rRpGW1OoqhUKnbt2kWNGjUoUKAA+/btS/acGjVqkC9fvhQVaU2OnTt38vvvvwOwefNmqlWrpvcxBALB/xBiJ0gVBQoUYNOmTQCsXLmSvXv3ZrBFcYmJiWH79u1Uq1aN3r17c+/ePSIiIujVqxeHDx9O8ty7d+8CcOjQIb3adOvWLQYMGADApEmT6Nq1q07np6ZSukCQXRFi9xVv375l3759/PvvvxltSpahbdu2cmaaIUOGaF2WKa35999/qVKlCgMGDMDHxwdLS0tmzZpFt27diImJoXv37pw4cSLZfvRZXikiIoLvv/+e8PBwnJ2d5XADbdm4cSPW1tY0adIEa2trNm7cqDfbBIJvmWzpjeni4oKLiwsqlQofHx/evn0re/Fcu3aNdu3akTdv3nhB658+fdJ6jG/VQUWTDPlroqOjad68uRx8XaNGDfr370+PHj3ImzevXm3Qpm1gYGCc0jvTp09n7Nix5MmTh5iYGFq3bo2XlxeVK1fm+vXrQPz7q3Fa2r17N507d5ZfT42DytmzZ2nQoAEWFhY8evRIq3ujISAgAGtr6xRVShcIvlWEN2YSjBw5kpEjR8o36Utq1qzJs2fPkq0+LYiLkZER//zzD2PHjuXgwYPcuHGDGzduMGHCBNq3b0+/fv1wdnZOVCz1TcGCBRk2bBhr1qwBYmd5zZs3p3bt2rx69YobN24A/yvQmhAuLi5cuXKFVq1a6c0ujaCq1Wp+++03DA0NMTIykgvIJvRz3rx5KVSoEP7+/olWShdiJxAkTbac2WnQiN2XM7ukEDO7xGd2X/LmzRt27tzJ1q1buXnzpvx6kSJF6N27N40aNaJ06dLY2NjI15RWoQdHjx5l+PDhvHz5EqVSyZgxY7h+/Tre3t7Y2dlx6tQp2Yb0CD148eKFXoVJoVDQr18/bG1tKVy4MPb29lSoUEGrUBqB4FtA25mdEDshdnoXOw2GhobcvHmTzZs38/fff/P27dt4fVlbW1OmTBlKly4tH2XKlKFUqVKYmpqm2l61Ws379+8ZP34827dvl183MzPjypUr2Nrayq+lV5zd3r17uXnzJtHR0cTExBATE5Poz1FRUbx9+5bAwEBevXql1WewWLFiNG/enObNm9O0aVOdlkoFgqyGEDstEGIXS1qKnYbIyEiOHDnC7t27uX//Pn5+foSHhyd6rkKhwNraml9++UUuoJoSe79c9jt8+DAjRowgKCiIdevW0a9fvzht0zuoPCWEhYXJS8TGxsZERUXJiaifPn3K+fPn4yQ/UCqV1KpVSxY/e3t7Ebgu+KYQYqcFmpsUHBysldiFhIRo3Xdis5KE0FYYdVma0iVdmS4PP13aJiUKkiTx6tUrHj9+LJdrevTokXx8WUV+7ty5TJgwQb5+Xb5IfH3PQkNDef78OZUqVdK6j+T61FdbXf4rJtZveHg4p0+f5sSJE5w4cYJ79+7Fed/c3JymTZvSsmVLevbsSY4cOQgICMDX1xdbW1ux9yfIcgix0wIhdrFkhNgl1a8kSbx584YlS5awdOlSAEaPHs2iRYtQKpWpEjt9kJnF7mueP3+Ou7s7J06cwN3dnffv38vvNWzYkC5duvDjjz+iVqtRKpWsW7cu0SrsAkFmRIidFgixiyWzid2XLF++nEmTJgGxVTE2btyo073N7mL3JSqViqtXr3LixAmWLFkSZ/asQYQyCLIa2oqdCCoXZGrGjBnDli1bMDQ0ZNeuXbRv356PHz9mtFlZEgMDAxwcHJg5cybu7u7kzJkzXhtNKINA8K0hxE6Q6enRowcHDhwgZ86ceHh44OTkxOvXrzParCyNvb09//zzT7zXDQwMKFOmTAZYJBCkLULsBFkCZ2dn3N3dsbKy4tq1azRs2JAXL15ktFlZmrZt28ZL3r1q1SqxhCn4JhFiJ8gy2NnZsWLFCgD8/PzYvXt3BluU9Zk7dy5z586Vf0+Nl6pAkJkRYifIMri7uzN06FAAqlSpQo8ePTLYoqzP1atXWbhwIQBOTk7Url07gy0SCNKGbCl2Li4uVKxYkVq1amW0KQIt2bp1K+3btycsLAxHR0e8vb0pUKBARpuVpfnvv/9wdnYmNDSUBg0acODAAZ0SFwgEWYlsKXYjR47k3r17XLlyJaNNESSDJEnMmzePQYMGERMTQ7du3Th69Gi8BN4C3Xjw4AFOTk68f/8eBwcHjh49mqB3pkDwrZAtxU6QNYiJiWHkyJHMnj0bgAkTJrBlyxadUqEJ4uPv70/Tpk0JDg6mRo0auLq6kjt37ow2SyBIU0SSPGIDdLUJ0tUloPrz589at9X24a1LkLYuDy9dAtCjoqK0bquLKH2dczMkJITevXtz9OhRFAoFK1euZMSIEVr3p0GXwqva5v3UJaBbl/F1yQyTmn6XLl3Ky5cvqVSpEm5ublhYWGjdl0CQVREzO0GmIjo6mj///JOyZcty9OhRTE1N2b17d4qETpAwmgK7P//8M1ZWVhlsjUCQPoiZnSBTIEkShw8fZsqUKTx8+BCAcuXKsXHjRurUqZPB1n07hIWFcevWLQDq1auXwdYIBOmHmNkJMpxr167RtGlTvv/+ex4+fIiVlRWrVq3i1q1bWULobt++zbBhw5g8ebJOy4vJERMTw9KlSzl//rze+rx06RIqlYoSJUqI4HFBtkLM7AQZxrNnz5g5cyZ///03EJs8e8yYMUyaNCnTe1tKkoSXlxeLFi3C1dVVfr169ep0795dL2P88ccfjB8/nty5c/Pff/9hY2OT6j41wlmvXj1R2keQrRAzO0GG4OLiQqVKlWSh69mzJ/fv32fu3LmZXuiePXtGrVq1aNq0Ka6uriiVSqpUqQLA1KlT4xRPTSnv379nzpw5AHz8+JH+/funuk+Ac+fOAf8rjtukSROsra3ZuHGjXvoXCDIrQuwEGcKKFSuIjIzku+++4+LFi2zdupUSJUpktFlacfDgQa5duwbA4MGD8fHx4eLFi5iamuLv76+XqgFXr17lw4cP5MqVCwBvb+8ES/Loyv379wH4559/5CVXtVrN0KFDCQgISHX/AkFmRYidIEPo2LEjABYWFnz33XcZbI1udO/eXfZiLFmyJKVLlyYqKoqIiAgAihcvnuoxNMIfFhYGQP78+fUSC6cJM/m6dp4o7SP41hFiJ8gQRowYgYGBAZ6enrJ3YFbBysqKZcuWAfDLL7/g6+srz5iKFSumVSHg5ChVqlScuM6aNWvqpRCtZjb3dV+itI/gWydbip3IjZnxlChRgk6dOgGwcuXKDLZGd3r27ImzszORkZEMHTqUe/fuAVChQgW99G9kZIStra38e82aNfXSr2ZGN3PmTDmI3sDAgLVr1wonFcE3TbYUO5EbM3Pw008/AbBz505evXqV4n4uXLjAqFGjePbsmb5MSxaFQsHq1avJkSMHXl5ezJs3D9Cf2H3dl77ETjOz69SpE0+fPsXLy4unT58ycOBAvfQvEGRWROiBDuTIkSNN+tXW8cDMzEzrPtMqBZiJiYnWbb/eF/oaOzs76tWrx7lz5/jzzz/59ddfter3y2s7d+4crVu35vPnz1y+fJlTp07FSVOmS4o3bWPkNDOiUqVKMWfOHCZOnMjjx48BqFixYpy2uqQA+5q0EDvN30SpVFKsWDExmxNkG7LlzE6QedDM7tasWaNTPlGAK1eu0K5dO/m8a9euye766cWYMWOoUaOG/HtazOzy58+vF6cXSHzPTiD41hFil8lQq9XMmTMHe3v7bFGJu02bNpQsWZJ3796xdetWrc+7ceMGrVu35uPHjzRq1IjNmzcDsGjRIk6dOpVW5sbD0NCQ9evXo1QqMTIy0mul71atWuHg4MD48eP1Jk6amZ0QO0F2Q4hdJkKSJH755Rc2bdrE69evmThxIhMnTiQ8PDyjTUszDAwMGD16NBAbe6fNUuLdu3dp1aoVHz58oE6dOuzfv5+ePXvSr18/JEmif//+vH//Pq1Nl6lZsybu7u4cOXKEfPny6a1fS0tLLl68yOTJk/XWp+b+pmZ5VSDIiohPfCZBU6T0r7/+QqFQ0K5dO5RKJbt376ZDhw48evQoo01MM/r27Yu5uTk+Pj4cO3YsybY+Pj60aNGCt2/fUrNmTQ4dOiQHXi9dupQyZcoQEBDAiBEjkt0z1CdNmjTB2dk53cZLKWJmJ8iuCLHLJGzYsIH169cDMG/ePFauXMn27duxsrLi4cOHtGvXjh07dqTrAzy9yJUrF4MHDwZiBSsxAgICcHJyIigoiCpVqsSrWJ4rVy62bt2KoaEhe/fuZebMmXKgtyAWzcxO3BdBdkOIXSZh3759AEycOFFOJFy3bl2OHTtG7dq1+fTpE2PHjqVz5848ffo0Ay1NG0aNGoWRkRGnTp3ixIkT8d6PiIigU6dOvHjxgvLly3P8+HHy5s0br52dnZ1c2XzhwoVUrFiRPXv2fJNfElJC6dKlgdgMNlu3bk3XcA2BICMRYpcI6f0Q0HgUOjg4xHm9QIEC7Nixg2nTpmFqasqZM2do3Lgxa9eu1Sm8ILNTvHhxRo4cCcCkSZPiXJskSQwfPpyrV6+SN29eDh48SIECBRLta+LEiWzevJmiRYvy9OlTunTpQpMmTbh582ZaX0am559//sHGxoZHjx7Rt29frK2tKV26NAMHDmT79u0iP6bgm0WI3VdERETQr18/KleujK+vb7qNqxG7hGL5DAwMGDJkCN7e3tStW5fPnz/z888/07ZtW3x8fNLNxrRm+vTpWFpacufOHTZt2iS/7uLiwtatW1EqlezcuZOSJUsm2Y9CoaBnz57cuXOHGTNmYGpqyqlTp6hZsyaDBw8mKCgorS8l01K+fHkuXbrEtGnTcHBwwMDAgMePH7Np0yZ69+5N8eLFsbW1ZfDgwfz999+8fPkyo00WCPSCQsrG6zuhoaGYm5vz5s0bOZ+hJEm0adMGd3d3HB0dcXV1lTfzdZlJ6eJBGRoaSuXKlQkLC8PLyyvRh7mZmRlqtZpt27bxyy+/EBYWhrGxMePHj+enn36K42GnSwB6WgWV6xLQrWm7YsUKxo0bR8GCBXn48CHXr1+nWbNmqFQqFi9ezNixY3X6OxgaGuLv78+UKVPYtWsXAHny5GHnzp20aNEiTltdg8ozEl2KxCbleRkaGsq5c+fw8vLC29uba9euxeu7VKlSFC1aFCsrK6ysrMifP3+8nzX/mpmZCecXQbqieY6HhIQkmZc2W4qdi4sLLi4uqFQqfHx84ogdwKNHj6hRowYRERFs3LiR3r17A2kndiEhIZQuXRq1Ws2lS5coWLBggu2+FLAXL14wceJETp48CUDXrl1ZtmyZLBpZVeyioqKoUqUKfn5+DBgwgMOHDxMcHEyPHj3YunUrCoVCZ7HTcO7cOcaMGcO1a9cwNDRk06ZN9OrVS34/O4rd14SEhHDmzBm8vb3x8vLixo0bOu13GhoaolQq4xwKhSLB1ypVqsTWrVtFFhdBqhBipwVJ3aQFCxYwdepU8uXLx4MHD7CystJJFHQRu5cvX8pppm7evJloKZeYmJg4v0uSxJ49e5g1axYqlYoWLVqwaNEijI2NsbS01Hp8Xa4rZ86cWrfVhARow5cfwwMHDtClSxf59+rVq+Pt7S0L+Nf3ISm+nmVERUUxZMgQeZY3b948xo4dCxAnzZgufeqLzPBf8etr+/DhAzdv3iQ4OJjg4GDevHlDcHAwb9++lX/W/KvL50hDmTJl8PLyEoInSDFC7LQgqZsUHR1NzZo1uX37Nn379mXLli1pJnZ+fn7Y2dkB8PDhw0RnRIk95N3d3Rk7dizR0dE4OjqyYsUKChUqpPX4mU3sJEmiadOmnD17FisrKy5cuIC1tbX8fmrEDmJnRVOnTpWrLfz444/Mnz8fU1PTFPepDzLDf0Vdru3LtpIkERYWRkhICGq1GkmSUKvVif4cGhpKz549efLkiRA8QaoQYqcFyd2kixcvUrduXSRJwsPDg/r162vdty5id/v2bRo0aICxsbFcFy0hknrInz59mlGjRhEZGUnt2rX5+++/tRabzCZ2EBs8PmvWLMaOHYu9vX2c91IrdhqWLVvGtGnTgNhl4C1btmg1uxNip3vbhPD398fR0VEIniBVaCt2whszCWrXrs3w4cMBGDp0aJql7dL0q+3MIiEaNmzIhg0bMDMz4+LFi3Tt2lXragrpxYcPHxgyZAiLFi1KNp1X2bJl+eeff+IJnT4ZO3YsGzduxNDQkF27dtGuXTs+fvyYZuMJ4mJtbS07ZPn5+eHo6ChCHwRphhC7ZJg3bx6FCxfGz8+PBQsWpMkYmrADXZxKEsLe3p7NmzeTJ08erly5QseOHXn79m2K+nr8+DGBgYGpsudrVq9ezebNm5k2bRolS5ZkzJgxGZ4GrUePHuzdu5ecOXPi7u5O06ZNef36dYbalJ0QgidIL4TYJcDZs2fp0qULkiRhbm7OH3/8AcDixYu5ceOG3sfTzOz0US+vevXqbN26FSsrK/777z86deqkU2qokJAQxo8fT8OGDWnatClv3rxJtU0aDh8+DICVlRWfPn3CxcWFChUqxImpywicnZ1xdXXFysqKa9eu4eTk9E0F7Gd2vha85s2b6+RtKhBogxC7rwgPD6dx48bs3r1bDqjt2LEjHTp0ICYmhh9++EHvM55Pnz4BqZ/ZaahQoQIHDhzAysqKe/fusXr1aq3O8/T0pGnTprKnYkhICNeuXdOLTfC/vbYvl1clScoUQd7W1tYULVoUgODgYJ32BQWpJ2/evLJT1Zs3b4iOjs5giwTfGqkSu5MnT1K7dm0aNWokx3u9evWKzZs3y/kdsxo5cuTAxsYGQM6golAo2Lx5M2XLluX58+d07dqVyMhIvY2p2SdKLOQgJZQtW1YuZLpixQpevHiRaNvQ0FDGjx9Pnz59CAwMpGTJklhZWQHoVYj69esHxDrEFCxYkBEjRuDl5cWUKVP0NkZKePHiBc2aNePWrVvkz5+fY8eO6RRPKEgdHz9+pGXLlly4cAFzc3OOHj0q7r9A76RK7EaNGsX48eNZunQp+/fvp3///pQrV46TJ0/Srl27FPXp4uKCjY0NpqamODg4cPny5UTb7tu3Dzs7OywsLMiZMyfVq1dn27ZtKb0cmbJlywLEScVlYWHBvn37sLCw4OLFi3otIRMWFgbo5r2oDZ06dcLBwYHPnz/zyy+/JNjmy9mcQqFg8ODBuLm50bp1a0C/Yjds2DA2b96Mu7s7/v7+rFixgvr162doxo0nT57g5OTEw4cPKVasGN7e3nEqjwvSFo3QnTt3DnNzc06ePCmH4QgE+kT7FBcJkCNHDn744Qcgdq8of/783Lt3L8Xuw7t27WLcuHGsWbMGBwcHli9fTvPmzXn48GGCiX/z5s3L9OnTKV++PMbGxhw5coT+/ftToEABmjdvnuLrsrW15fjx4/FyY9ra2rJjxw7atWvH9u3bqVSpEuPGjUvxOBrSSuwUCgXz5s2jWbNmHDhwgH79+lG3bl0gdjY3a9YsduzYAYCNjQ1Lly6VvR81S0r6XLJVKpVxMpZkNPfu3aN169YEBgZSunRp3N3d48Tz6cKlS5dQq9XUqVNHz1Z+uwihE6QnqZrZBQcHs2vXLq5fv054eDg2NjapipNZunQpgwcPpn///lSsWJE1a9ZgZmaWqAND48aN+f7776lQoQKlS5fmp59+omrVqpw9ezbFNkDCMzsNTk5OLFq0CIBp06Zx/PjxVI0F/xM7fS5jaqhSpQp9+vQBYOrUqcTExODl5UXDhg3ZsWMHCoWCgQMH4u7uHsfNX5OyTN/7k5mFq1ev0qxZMwIDA6lUqRInT55MkdC9f/+eAQMGUKdOHerVq8fGjRvTwNpvDyF0gvQmVTO78ePH4+bmxtKlS7l//z6RkZG0b9+e6tWrU716db7//nut+4qKiuLatWtMnTpVfk2pVOLk5MSFCxeSPV+SJDw9PXn48CELFy5MsE1kZGScvbbE4tBsbW0B4s3sNJlNfvzxR+7fv8/69evp3bs3Fy5coEKFCnHa6uLNp9mzS25ml9IMLmPGjOHAgQPcv3+f1q1byx6lJUqUYPHixdSuXRuIm29RM5MOCgqK87qRkZHWNuhyD3RxCNEl52ZCQeKnT5+mbdu2fPz4EXt7e44dO0bevHm1tlfT7sCBA4wZMybOF4LBgwcTHR3NgAEDEh1fH6RX8LckSfHSgr158ybR1zQZVJLLoqJBCJ0gvUiV2GlyCmp48uQJd+7c4c6dO+zdu1cnsXvz5g0qlSpeEuSCBQvy4MGDRM8LCQmhaNGiREZGYmBgwJ9//kmzZs0SbDt//vxE966+RDOze/ToESqVKl7iX4VCwcqVK3n48CGnT59mxowZ7N27N9l+EyMtZ3YAlpaWTJgwgRkzZshC169fPyZPnpyoB6jm75AZPCX1yZEjR+jSpQsRERE0btyYgwcP6nzfAwMDGTdunFxwt2zZsqxZs4a9e/fi4uLCiBEjAGTBy2o8ffpUTgTt7e2dZrUdCxcuzKFDh4TQCdIFncRu5MiR1KxZk+rVq1OlSpV43/JLlixJyZIladu2rV6NTIrcuXNz8+ZNwsLC8PDwYNy4cZQqVYrGjRvHazt16tQ4e2yhoaEUL148XrvixYtjbGxMVFQUz549S7DkjrGxMcuWLaNmzZq4uroSFhaW4j23tNqz+5IePXrg7e3Ny5cvmTVrljybSwyN2L1//57IyMgs7x0nSRKLFy9mypQpchmnXbt26RTbKEkS27dvZ/z48bx//x4DAwPGjx8vF9atU6cOCoWCVatWyQ5Mmgw8mZlnz57FEbenT5/Ga5M3b16tSvyYm5tjYGCQYMWDr3+2sLDQaaVAIEgNOond1atX2bJlC+Hh4RgZGVGxYkVq1KghH9WrV0/xA9vKygoDA4N4M4mgoKAkkxorlUrKlCkDxDrJ3L9/n/nz5ycodiYmJlo9tA0MDChTpgz37t3D19c30fpy1apVo3Tp0jx69Ijjx4/Lzjq6ktYzO4i9Jl32k8zNzTExMSEyMpLXr18n+KUgqxAREcGQIUPYvn07AIMGDcLFxUWnB+2zZ88YMWIEJ06cAGL/9mvXrqV69epyG4VCwaJFi1AoFPzxxx+MHDlSLrybmXj37h3Hjh2Txe3x48dx3jc0NKRWrVo4OjrSuHFj6tatq1NOVIEgM6KT2Gk8zh48eMCNGzfk4+DBg7x//14WHicnJ0aPHk25cuW07tvY2JiaNWvi4eFBhw4dgNg9JA8PD0aNGqV1P2q1Wi8xcLa2tty7dw8fHx+cnZ0TbKNQKOjUqRO///47e/fuTbHYabtnl54oFAoKFizIs2fPCAoKyrJi9/LlSzp27Mjly5cxMDBg+fLljBgxQut9LLVazdq1a5k2bRphYWGYmJgwffp0xo4dm6BYKhQKfv/9d3mpe9iwYUiSxNChQ/V9aTrx8eNHDh48yM6dO3Fzc4sTtG1gYICdnR2NGzfG0dGRevXqZarPokCgD3Tes1MqlVSsWJGKFSvSs2dP+XV/f39u3LjBtWvXcHV1ZdOmTbi5uelUKWDcuHH07dsXOzs77O3tWb58OZ8+faJ///4A9OnTh6JFizJ//nwgdg/Ozs6O0qVLExkZybFjx9i2bZvWGUOSQuOk4u3tzciRIxN9OGrE7ujRo3z+/DlFWVA0M7vMtlSoEbus6pGpVqtp0KABT548IW/evPz77780adJEpz5mz54tf97q1q3L2rVr5c9GYigUChYuXIhCoWDFihUMHz6c8uXL06hRoxRfS2q4ffs2TZo0iZP6rXLlyrRs2ZLGjRtTv379RLPFP3nyBFdXV3r27JlkRnmBILOjt3Rh1tbWdOjQgV9//ZUrV64wdepUJk+erFMfXbt2ZfHixcycOZPq1atz8+ZNXF1d5f2jZ8+e8erVK7n9p0+fGDFiBJUqVaJevXrs3buX7du3M2jQoFRfT5s2bVAoFOzdu5eZM2cm2q5mzZqULFmSz58/c/To0RSNVbp0aQDZ4SGzoMmpmVYehWmNSqXiyZMnALi5ueksdPA/D9W8efNy7Ngxypcvr9V5CoWCGTNmyJUsMir9WEBAAK1ateLNmzfY2Ngwc+ZM7t69y+3bt/n9999p1apVoiJ2584dHBwcGDFiBM7Oznz48CF9jRcI9Eia1bPz9/enUqVK8qwlM5JcHaQ1a9bIDgZLlixhzJgxCfYzffp0FixYQIcOHWSvTF0eDKdPn+b7779HoVBw7Ngx2Rv0azTVEbRBl2/hCc1aJUmicuXKfPz4kZMnT8o25c2bV+t+dQkRSKvQg+LFixMcHMyNGzeoVq1akm0TCj0ICQmhWrVqvHjxgkmTJjF37lytQxTWrl3LTz/9hK2tLffv30epTPq7pS7/FbVZhg0JCaFhw4bcvn2b8uXLc+7cOa3/frdu3cLJySnObNDOzg43NzcsLS21tlMgSGsyvJ6dtbU1Fy9eTKvu04Vhw4Yxb948IDamMLHg9q5duwJw/PhxQkJCdB6natWqNG/eHEmSWL58eYrt1Sfv3r3j48ePKBQKSpQokdHmpJgiRYoAxFkR0AVzc3O5ovmSJUu4efOmVudJksSff/4JxKbVS07o9E1UVBSdO3fm9u3bFCpUiOPHj2stdNevX5eXPe3s7Dh16hRWVlZcvXqVpk2bJlo2KiAgAC8vL1GiR5ApSdP/gZUrV07L7tOFKVOmMHHiRCC2gOuePXvitalSpQoVK1YkMjKS/fv3p2icsWPHolAoOHHiBP/991+qbNYHmuW/IkWKpKqobEZTuHBhALmCRUpo164dnTp1QqVSMWzYMK1mdh4eHjx8+JBcuXLRt2/fFI+dEiRJYvDgwXh4eJAzZ06OHj0qJzdPDo2gvXv3DgcHB9zd3WnYsCFeXl7kz5+fGzduJFj6aePGjVhbW9OkSROsra0zLJNMZqj2LsiciBI/yaBxNhg0aBBqtZpevXrh5uYWr023bt0A5PI4umJrayt7oS5dujRVNusDTaxVSnNFZhY0YpfSmZ2GZcuWYW5uzrVr13BxcUm2vWZW169fv3R37Pj555/Ztm0bBgYG7N69m++++06r8y5duoSTkxMfPnygbt26uLm5YWFhAcR+cfX29qZgwYLcunWLJk2ayEVuAwICGDJkiLy/qVarGTp0aLrP8O7cuUO5cuVo3bq1qDgviIcQOy1QKBSsWbOGH374gejoaDp16sSlS5fkAFmlUimXNPLw8ODt27fkzJlT68PMzAwzMzOmTJmCkZERZ86c4ebNm/LrmkMXwsPDtT6+vA7N4e/vD0CpUqXivB4REaH18fnzZ60PIyMjrQ+FQqH1oYnRfPnypZyuKrEjqX6KFCkip6GbPXs2z549w8DAIMHj6dOncs7UkSNHIkmS3o/E7Fy/fr289L527Vpatmyp1efl/PnzNGvWjJCQEOrXr8+RI0cwMzMjJiZGPsqWLcvJkycpXLgwt2/fxtHRkaCgIHx9feMVW1WpVPj5+en0mU0Nd+7coUmTJvj6+nLs2DFatWolBE8QByF2WmJgYMD27dtp3rw5nz9/plWrVnGWG8uUKYOdnR0qlYrdu3enaIwSJUrI4RwLFizI0CUZzcxO2+WvzIpmzy41y5gaBgwYQMOGDfn8+TOjRo1K9O+zevVqJEmiefPmiTobpQVHjx6VHapmzpzJwIEDtTrvzJkzNG/enI8fP9KoUSOOHDmSaIKD8uXL4+HhQdGiRbl37x6NGzcmT5488fYkNYkZ0gON0AUHB1OlShUsLCw4e/asEDxBHLKl2Lm4uFCxYkVq1aql03nGxsbs3buXevXq8eHDB5ydneN8e9XM7nbu3Jli23766SdMTU25cuUKXl5eKe4ntWj27LK62OlrGRNiY0zXrFmDiYkJbm5u/PPPP/HahIWFsXnzZgCdkiGklgcPHtClSxfUajU//PADjRo10moZ0dvbmxYtWhAWFoaTkxOHDh1KNluKra0tHh4eFC9enAcPHtCjRw8WLlwo55A1MDBg7dq1qaqAoi1fCt13332Ht7c37u7umJubC8ETxCFbit3IkSO5d+8eV65c0fncnDlzcuTIEapVq0ZQUBBOTk5yFfAuXbqgUCg4c+YMz58/T5FthQoVkkvyrF27NkV9pBZJkuSZXWKp0rIK+hQ7iE36PGPGDCDWQ/drR43t27cTGhqKra1topl30oJt27bx+fNnbG1t2bNnD02bNk3WUcTDw4NWrVrx+fNnnJ2dOXToULzl8sePH+Pi4hKvQkjp0qU5deoU1tbW+Pj4sGbNGs6fP4+XlxdPnz7VelaZGr4WOnd3d/LmzYudnR0nT54UgieIQ7YUu9RiYWHBiRMnsLW1xd/fn99++w2AYsWK0aBBA4AEvTa1ZdCgQSiVSk6fPs29e/f0YrMuBAcHyw+3rBx2AP9bxgwMDIy3r5RSxo8fT+XKlXnz5g0TJkyQX5ckSXZeGT58eLqGG2hWAfz8/OTl1aQcRdzc3GjTpg3h4eG0atWKgwcPxkuKffv2berXr8+YMWNo3rx5vNjRkiVL4u3tTcmSJXn06BHdunWjZMmSGTKj0widBiF4gq8RYpdCChYsyNy5c4HYvRJNSi3NUubq1atT7I1WvHhx2rRpA8D69ev1YK1uaGa85cuX16kqQGZE46ASHR0tz8BTS0REhFyWZseOHXLdw/Pnz/PgwYN0DzcIDw+X/2Zf7yMm5Cjy6dMnOnXqREREBM2aNWPfvn0Jhpf06NGD4OBgzMzMuHr1aoIZkWxsbDh16hRFixblyZMn6VbWqFu3bgQHB1OxYsV4QqdBI3impqacPXs2yUxIgm8fIXapoFmzZhQrVoznz5/j6OjIq1ev6N69OzY2Njx79gxnZ+cUL2cOHjwYgP379ycaxJtWaJwTXr16xcGDB/U2I8oIjIyM5ArsmqoHKSU0NJR58+ZRpkwZtmzZAkClSpWwsrIC/rfP6eDgkK7hBp8/f5Yz0HydWSUhR5EcOXLIjjP//fdfol6TVatWlfv/8vevOX/+vPxlL7ksNfpCM86TJ0+4detWou1cXV3ltHfpZZsgcyLELhVYWFjg7e0tb9Q3btyYsLAwvL29sbGx4fHjxzRr1kx249eFmjVrUrVqVSIjI/n777/TwPrEqVWrFqVLlyYkJISRI0fSvHlz3NzcsmzArsZDcd26dSnKURkSEsJvv/1G6dKlmTlzJu/evaNs2bJs2bKFq1evyumzNMt8GZlOa+3atck6iiiVSk6cOEH16tUJCgrC0dGR27dvx+tr48aNtG7dGoj17tQUpf2Sv//+mx49eqBSqejbty+LFi1Kg6uKz8aNG2nZsiXh4eG0bt06QWeu3377jZ9//hmITRrfr1+/dLFNkDkRYpdKvt6ob9y4MQYGBri7u1OqVCmePn2Ks7NzggUxk0KhUMib/Fu2bEnXRMI5cuTg6NGjTJgwgdy5c3P//n0GDBhAu3btOHXqVJYTvR9++AErKyueP3+uU7Lud+/eMWfOHEqXLs3s2bN5//495cuXZ+vWrfz333/07NkzTp5OTao4c3NzvV+DtgwcOJCnT58m6yhiZWWFh4cH3333HcHBwTg6OsabIZmamrJ//35evnzJzz//HG/WuHXrVnr37o1arWbgwIFs2rRJFtq0xtTUlH379iUqeF8L3ZQpU9LFLkHmRYidHtBs1NvY2ODn5ycXjnVzc6NMmTL4+/vTrFmzeEUyk6Ndu3bkzZuXly9fykVD04tcuXIxZswYzp8/z8iRI8mRIwc3btygU6dOdOjQgcuXL6erPanB1NRULhOlyWySGKGhoezYsYN27dpRtGhR5syZw4cPH6hYsSI7duzg1q1bdO/ePcGHumZmp8k6klEUK1aMxo0bJ+sokjdvXk6ePEmtWrV4+/YtTZo04fr163HaKBQK8ufPH+/cLVu20K9fP9RqNUOGDGHdunXpnv8zMcETQidICCF2ekKzUV+qVCkePXpEs2bNUKlUstfm8+fPcXZ21mlJ09TUlF69egEkmoQ6rbG0tGTq1KmcO3eOAQMGYGxszLlz52jVqhXdunXLFHk8tWHo0KEoFAo5Z+WXfPr0iX///ZfOnTtTuHBh+vbty7Fjx4iOjqZGjRrs3LmTmzdv0rVr1yRnLplF7HTB0tISd3d3ateuzbt372jevHmyITkbNmxg8ODBSJLEiBEjWL16dboLnYavBa958+ZC6AQJkmYlfrIC2paG0AWNs8qjR4+wsbHBy8sLExMTHB0defjwIR07dpTLAGlIyiX6xYsXVK5cGZVKxf79+7XOyPFlJerkyJcvn9Zt/f39+eOPP9izZ4+cELlly5ZMnjw5Xh7NtFrO02Wp7Mu4se+//54jR44watQo5s2bh6urK7t375YL72ooW7YsP/zwAz/88AMVK1aM12di5XW6dOnC/v37WblypbxPqIut2pYOgrhljt6+fSs7yahUqhQJT2hoKK1ateLcuXPkyZOHEydOULt27Xjtvix79eOPP7J8+XKtq77ri4CAAHx9fbG1tZVnrxEREXTs2FFO0yaELvuQ4SV+sivFixfH29sbW1tbnj59SqNGjQgPD2ffvn0oFAr27dunUzB70aJFadu2LUC6O6okRNGiRVmwYAHu7u60a9cOhULB8ePH+eGHHwgODs5o85JE85DeuHEjRYsWpUuXLuzevZvPnz9TqlQpJk2axJUrV7h9+zazZs1KUOiS4v3790DGOqiklDx58uDq6krDhg0JDQ3F2dmZc+fOxWmzatUq+R6OHTtWFrr0LO2TWHUFzQzv559/ZuvWrULoBPEQYpcGFCtWDG9vb8qWLcuzZ89o3LgxJiYm9O7dG4gt9qoLQ4cOBeDIkSMpqpeXFpQsWZIVK1Zw7NgxypQpQ3BwMD/++GOGVeTWBicnJ2xtbQkPD+fjx4+UKFGCcePGceHCBR48eMBvv/1GtWrVUjxTyczLmNoIUq5cuTh27BiOjo58/PiR5s2bc/r0aQCWL1/O6NGjAZg4cSJLlixBoVCka2mf5KormJqaMmfOHPn/mUDwJdlS7FKaG1MXihQpgre3N+XLl+f58+c0atSIfv36YWRkhLu7u055L+vWrUvlypUJDw9Pcb28tKJ8+fKsWbOGnDlzcvHixUxRnigxlEol//zzD7NmzeL06dP4+vqycOFC7Ozs9LIUlxm8MRNCF0HSpMNzcnLi06dPtGzZkmHDhjF27FgApk6dysKFC+UZnb5K+2gjxpmhuoIg65ItxS41uTF1oXDhwnh5eVGxYkVevHhBr1695Lp306ZN09qFX6FQyLO7f/75R6e9nfSgdOnSLFiwAIjNHOPu7p7BFiVOtWrVmDFjBnXq1NG7U0VmnNmlRJDMzMw4dOgQLVq04PPnz3KO1p9//pm5c+fKXwz0JT7airGtrW2GVlcQZG2ypdilJ4UKFZIF7+XLl6hUKszMzHSeBf3www/kyZOHgIAAPDw80tDilNGmTRs5RZYmV2h2IywsDIgNwNZkU0lvvhYfXQQpPDwcHx8fTp48yd9//x0nY0qdOnX45Zdf4syA9SE+uohxsWLFWLduXYZUVxBkfYTYpQMFChSQ9+kCAgLk4poTJkzQuvadmZmZnHfzzz//zJQpvAoWLAjEOulkRyZMmIBSqeTAgQNUqVKFGTNmpCr5cFRUFGfPno1XWeFrLCwsZAHQVA/XkJAgKZVKzpw5w7hx4+jUqRO1atWiYMGCmJmZUa5cOZo1a8agQYP4/fff5XMuXLhA3bp1cXd3l1ckUiM+vr6+7N+/n40bNyYoxn/88QcbN25k/fr1rFmzhps3bwLaB80LBF8jQg/0HHqQGGfPnqVBgwZyhviffvqJP/74AxMTEw4dOkSdOnWS7ePOnTs4OzsTFhbG0qVLad68eaJt0yr0ICkHlNatW3Pv3j3mzZtH9+7dM13oQXLosqycGLdv32bChAl4enoC/0sY3q9fv2SXTVUqFVFRUZw8eZLdu3dz+PBhQkJCqFq1KpcvX45z3V+GHkDsF4yAgAAuXbok5wLVsHHjxjizJ4VCkei15syZE2tra0qUKCH/+/r1a9auXSvnmKxXrx6//PILTZo0kffu/Pz8KFOmTJJCFxISwr///svmzZu5cOFCkvfia5RKJXv27OH777/X6TzBt4+2z3Ehdukkdk+fPqVkyZIYGxsTHh6OJEn88MMP7N+/HwsLC06ePJlsDN3z589xcXHhzz//pHTp0uzfvz/RB396i93jx49p2rQpBgYGXLlyBUtLy2wpdpp+jhw5wqRJk+Tlwho1arBs2TIaNmwYr31kZCTu7u78+++/ssB9zYYNG+JUUvha7OrUqcPFixfZu3cvHTt2lF/39fVlw4YNbNq0Kc4MsXHjxtjZ2VGiRIk4wmZpaZng9QUGBrJw4UJWr15NZGQkAA0bNmTOnDk0atQo0XuhUqnw9PRky5Yt7Nu3TxZMpVLJd999h6mpKa9fv8bHx0c+p3LlypQoUQIDAwOUSiVBQUFcvHgRY2Njjhw5QrNmzRIdT5D9EGKnBekpdlFRUZiamiJJEkFBQRQoUIDw8HCaNGnCxYsXsba25uTJk/JSYEI8f/6c0NBQmjdvTmhoKIsWLaJVq1YJtk1vsfvjjz9YunQpDRs25K+//gIyX1B5cuhL7DRERUXx559/8uuvv8r1ATt37szChQspUqQI7u7u7N69m0OHDsURuMKFC9OxY0c6d+7MxYsXmTp1KsWKFePevXtyyaWvxa5z587s3buXFStWMGTIEPbu3cv69es5deqU3KZQoUL079+fAQMGpNip4+XLlyxYsIC1a9cSFRUFgKOjI7/88otcyxFiRfavv/5i69atcSp/VKhQgf79+9OrVy+5sC6Q5OxQpVLRrVs39uzZg5mZGW5ubtSrVy9F9gu+PYTYaUF6ih3EPsQCAwO5evUqNWvWBGILpdauXZvHjx9To0YNjh49Sq5cuRI8X/PQWL16NatWraJUqVIcOHAgwYd/eotdixYtePjwIQsXLqRLly6AEDuItTU4OJiZM2eyfv161Go1JiYmmJqaJipwdevWlZc8IyIiqFixIs+fP2fBggWMHz8eiC92Y8aMYcWKFVSoUIHAwEA5wF2pVNKiRQsGDx5M69atMTIy0tr2pAgICGD+/PmsX79e/qw5OTnRpk0bdu/eHScg3cLCgu7du9O/f/8Uh3lERUXRvn17XF1dMTc3x8vLixo1aujlWgRZGyF2WpDeYlerVi2uXr3KgQMHaN++vfy6j48P9erV482bN7Rs2ZIDBw7Ee5gBBAUFAbHpxRwcHPjw4QOrVq2Ks2ylIa1q4CUkjL6+vjRq1AgjIyNu3bolu97nzJlT6351+RgmVGg0MXQJ00iLjP1f7tPdvn2biRMnyvt5RYoUoWPHjnTq1CnJUIitW7cyaNAgLCwsePjwIZaWlvFEa/HixUycOFH+vUSJEgwcOJD+/fvr5K2oa8qyZ8+eMW/ePDZu3Bjni5BSqaR58+b069ePdu3aYWJionW/ifH582datmzJmTNnyJ8/P6dPn6Z8+fKp7leQtRHpwjIhGi/Fr92qy5Qpw6FDh8iRIwfHjx9n5MiRST78c+fOLadtWrp0aYZnLTl06BAQu4eTmWLMMhtVqlTh+PHjnDlzhtOnT/P48WOWLl1KvXr1knRe6dmzJ5UqVeLDhw8sXLgwwTadO3emWrVqcn7Ix48fM3PmzDT3jC1RogRr1qzB19eXIUOGUL9+fRYsWMCzZ884duwYXbp00enLSVJo4v80ZYlSWitSkD0RYpeOaL5hJxRD5ODgwI4dO1AqlWzYsIH58+cn2Vf//v2xtLTk8ePH7Nu3L03s1QZJkmSxa9euXYbZkVVQKBQ4ODhQu3ZtrYPaDQwMmDt3LhCb/efLPTANNjY23Lx5k71799KiRYt0qyv35fhr167lzJkzTJ48maJFi6bJOObm5ri6ulKhQgUCAgJwcnKSq6QLBEkhxC4d0YhdQg8rgPbt27NixQogNluFq6tron3lypVLrhy9bNky2VkgvXn48CG+vr4YGxvj7OycITZkB1q2bEmDBg2IjIzkl19+yWhzMhQrKyvc3NwoWbIkfn5+NGvWjHfv3mW0WYJMTrYUu/TIjZkQiS1jfsmIESNkEZs4cWKSS5T9+/cnX758+Pv7M2bMmAwJNNdU/ra3t890OSG/JRQKhTzb37ZtG7dv306XcTdt2kTbtm25du1auoynLUWLFuXkyZMULlyYO3fu0LJlS9njVSBIiGwpdumVG/NrSpYsCcDFixc5efJkou1+/fVX8uXLx7179zhy5Eii7czMzFixYgWGhoYcOHCAdevW6d3m5NA8BM+ePRuvJIxAv9jb2/P9998jSRLjx4/XyaknJdy7d4+hQ4fi6upKp06dMp2YlCpVCnd3d/Lly8fly5dp3Lgxr169ymizBJmUbCl2GYW9vT1t27YlMjKStm3bJip4FhYW9OjRAyBJsQNo0qSJvJ+zYMEC7t+/r1+jk2H06NEUKlQIiM3fOX78eDkhskD/zJ07F2NjY9zd3Tlw4ECajnXw4EH55xcvXjBjxow0HS8lVKpUCTc3N/Lnz8+NGzeoU6dOuv8fEGQNhNilI0qlkt27d9OmTRsiIiKSFLw2bdoAcOzYsWSXJ3v16oWTkxNRUVGMHj1aznCRHtSpUwdvb285u8c///xD48aNOXr0aJrPPLIjZcqUkcvtjBs3jvDw8DQbS+N41LVrVyC2Srmuab7Sg++++44LFy5ga2uLv78/DRs25L///stoswSZDCF26YyJiQl79uxJVvAaNmxInjx5CAoKSna5VaFQsGTJEvLmzcu9e/dYvHhxWpmfIHny5GH+/Pns37+f0qVL8/r1awYPHkyvXr14+fJlutqSHZgyZQrFihXj6dOncZI165OXL19y9epV+bPVp08fJEli2LBhGeYMlRSlS5fm/Pnz2NnZ8ebNG5o2bSoETxAHIXYZwNeC1759+3iC96V3Y3JLmQD58+dn0aJFQGxVhIxwKHBwcMDd3Z0xY8ZgaGjIkSNHcHBwYNOmTZmySkNWJWfOnCxZsgSIXbp++vSp3sc4fPgwEPs3LViwIL///jsFChTg3r17aSawqcXKygp3d3cheIIEEWKXQWgjeJqlTG3EDmLd07t27YokSUyfPl2ur5aemJqaMmnSJE6cOEHNmjUJDQ1l7NixtGnTBl9f33S351vlhx9+wNHRkYiICMaNG6f3/jVip4mdzJcvn1x/cf78+Zl2X8zCwkIIniBBRLqwdEwXlhCRkZF07tyZI0eOYGpqyuHDh3FycgJiU34VKFAAtVrN06dPk0wSrSE0NBR7e3v8/f3lpMPJ8XUNNH2RN29etm7dytKlSwkPD8fY2JhRo0YxePDgeOmurKystO5Xl/yOuswotQ3E1qXCub6roWtQKBTcuXMHOzs7VCoVx44dS7QaQEKp5xIjOjqa0NBQihQpQlRUFP/995+ckkuSJDp06MDx48epV68eXl5eOgXG65ukHl0fPnzA2dmZq1evYmVlhYeHR5xitIJvB5EuLIuQ1B5evnz5qFu3LvC/eLbkyJMnDxs2bEChULBnzx7c3NzSzPbkMDAwoH///hw/fpz69esTFRXF0qVL6d+/f4bMOr81KleuLMdkjh07Vm97aSdOnCAqKgpbW9s4uScVCgV//PEHOXPm5Ny5c6xfvz7FY6jVal69esWrV68IDAwkKCiI169fExwcTHBwMG/evOHt27e8e/eO9+/f67wMbmFhgZubm5jhCWSE2GUCkhK8tm3bAv9bVtKG+vXrM2TIEACmT5+ebKXrtKZYsWJs3ryZxYsXkzNnTi5evEi/fv0SrNsm0I2ZM2dSoEABHj58yKpVq/TSp+azpvnsfUmJEiX49ddfAZg6dSovXrxI0RhOTk4UKVKEIkWKULhwYQoVKkTBggUpUKAABQoUIH/+/FhZWZEvXz7y5s1LjRo1dE4LJgRP8CVC7DIJCQne/fv35QeOp6enTrOhn376iQoVKvDu3TumTp2a4WEACoWCDh06sG3bNszNzbl58ya9evVKs+oM2QULCws5zvLXX39NtfdrdHS0nKYusVynw4cPx97entDQUH788Uedx7h79y5eXl5A7DKvNiV//vvvP1q3bq3zioAQPIEGIXaZCI3g1alTh4iICA4dOkT58uUpXbo0UVFRSWZdSaivJUuWYGxsjKenJzt27EhDy7WnatWq7Nixg3z58nH//n169OghEvmmkj59+mBvb09YWBj9+/dPlefrmTNn+PDhA/nz58fBwSHBNgYGBqxevRpDQ0MOHjzI/v37dRpj9+7dQOzMUaVSoVarkSQJSZJQq9WoVCpUKhUxMTFER0fz8OFD8ufPz/Xr1+nSpYvOX9wSclpJr3RrgsyDELtMhomJiVyf7vfff+e///6jQ4cOQOy+jC4ejeXKlZOLfc6ePZtNmzZl+AwPoHz58uzcuZNChQrx6NEjunfvnibu89kFpVKJi4sLELsCcPXq1RT39ejRIwAsLS2TFE21Wo2lpSUQN9OKNty9exeIrZTw9RgKhQKlUolSqcTAwABDQ0PKli3LqFGjADh+/HiSuWUT42vBc3JywsfHR+d+BFmXbOmN6eLigouLCyqVCh8fnwz1xkyIjx8/4uTkxOXLl8mbNy979+5l9OjR3Llzh0KFCuHm5oatrW2SfWiWs9RqNXPmzGHbtm1A7CxgxowZcbzj0sobM3/+/Em+HxAQQJ8+fXj27BmFChVi//79VKhQIdl+hTdmwtXSixQpQnBwMJcvX45TxVsXb8yAgACqVavGu3fv+PXXX5k8eXK8Nrt372bw4MF8/vyZUqVKcfjwYcqVK5dkv1/e271799K5c2f5OiwsLMibNy+WlpZx/tX8HBkZycyZM1GpVAwfPpw///wT0K3gr+Z+vX//niZNmnDz5k2KFSvGmTNnsLGx0bofQeZDVCrXgswQepAYISEhODs7y4K3Z88eRo8ezd27d7USvC/3biRJYuPGjXLW/FatWrF48WK5enRGiZ1m7H79+uHj40PevHnZt28f1atXT/IcIXbxxU6tVpMzZ05iYmJ48uRJnOrkuoYebN++nQEDBmBiYsKVK1dkj0yVSsWsWbPkoPJmzZqxY8cO8ubNm2y/X95bSZLo1KmTzsufffv2ZdOmTfI9TYnYAQQHB9OwYUMePHhAyZIl8fb2pkSJEjrZIsg8CLHTgswsdhBf8P7++2/Gjx+vleAl5Khw9OhRxo8fT3R0NHXq1GH16tXkzp07Q8UOYr9tDx06lOvXr5M7d2527txJvXr1Em0vxC6+2L17906OwwwLC5O/yIDuYidJEu3bt8fV1ZU6derIzlF9+/bl2LFjQGxeznnz5mndd0L3Nioqivfv38vhBV/++/Vr9vb28VYkUip2EJvYulGjRjx69IhSpUrh5eUlBC+LIsROCzK72EHKBS8xr7xz584xfPhwPn36RKVKldI0lZe2Ygexe5XdunXj3LlzmJqasn37djm4/muE2MV/eD98+JDKlSuTJ0+eeB6uuoodwLNnz6hevTphYWEMGzYMDw8PfH19MTU1Zc2aNfTo0UOna0vvoPKvSWjZ9/nz5zg6OqZa8AICAvD19cXW1paIiAi2bdvGgAEDsLa21rkvge4IsdOCrCB2kPCS5o8//sidO3coXLgw3t7elC1bNs45SQUYX79+nXbt2hEcHEypUqX466+/tP5PrktNM10+Wjly5CAiIoLRo0fj7e2NkZERS5YsoWXLlvHa6iKiuoidqampVu10ecjrMr4uovT1w/vs2bM4OjpSunRpHjx4EOc9Xf4OX17bmjVrZMcQiC0+vGfPHmrWrJmqfpNCmzCElLRNzNbnz5/TpEkTWfA8PT11EqmNGzcyZMgQ1Go1CoWC3LlzExoaSvHixfHy8qJ06dJa9yVIGSKDyjeEubk5bm5u2Nvb8+7dOzp37szKlSupXLkyr169olGjRnh7e2vd33fffYeXlxc2NjY8fvyYjh07yh5yGYmpqSkuLi60atWK6OhoxowZw969ezParCyBJnGALl8EkmPIkCH06tWL+vXrU79+fS5duiQL3bdC8eLF8fT0pHTp0jx+/JgmTZrw7Nkzrc4NCAiQhQ5iBTU0NBSFQhFn1ijIHAixyyIkJnhVqlQhMDAQR0dHxo0bR0REhFb92dra4u3tTdWqVQkODqZr166ZolaZsbExS5cupUuXLqjVaqZMmcI///yT0WZlejQVugsUKJBsW0mStMpeo1Qq2bJlC56enri7u2vVd1bka8FzdHTUSvB8fX0TnLlv3LiR8uXLC8HLZAixy0IkJHhr166VU4MtW7aMmjVrcv36da36K1y4MCdPnqR27dp8/PiRPn36yA4IGYmBgQG//fYbvXv3BmJTYm3ZsiVjjcrk3Lt3DyDecjbELqXeunWLVatW0bVrV4oVK0b+/Plp1aqVfF5SKJVKnfZJMwp/f38cHR0ZPHiwzgWMUyJ4tra28ZZSlUolzZo1w8vLSwheJiPTiZ2Liws2NjaYmpri4ODA5cuXE227fv16GjRogKWlJZaWlnJs2rfM14LXpk0bRowYwdGjRylUqBD37t3DwcGB+fPnExMTo1V/f/31Fy1atCAqKooRI0awffv2dLiSpFEoFPz8888MGjQIgLlz57Ju3boMtirzcufOHSA2OXRMTAxXrlxh6dKlfP/99xQqVIhatWoxbtw49u/fT3BwMAAnT56kZs2ajBs3jvfv36fahk+fPmVYGSc/Pz8aNGiAt7c3GzZsoF27dnz69EmnPnQVvI8fP5I7d275d6VSybp16yhWrBiFChUSgpfJyFRit2vXLsaNG8esWbO4fv061apVo3nz5om6xnt7e9O9e3e8vLy4cOECxYsXx9nZOcXJabMKXwtekyZNMDMz4/bt23Tu3JmYmBhmz56No6OjvLyVFKampvz555/06NFDroW3du3adLiSpFEoFEyaNEl2kli0aBEbNmzIYKsyH5IkyemvpkyZQv78+albty6TJ0/myJEjfPjwgVy5ctG8eXN+/fVXTp06xX///Sen61q1ahUVK1bk+PHjqbKjW7dutGzZkrNnz+rjsrTm+fPnNGzYkOfPn1OqVCly5syJm5sbrVq1QqVS6dTXl44lGsFLKH+r5r3Q0FAqVqzIgQMH8Pf3Z+DAgXKbhATvW382ZWYylTemg4MDtWrVkrO3q9VqihcvzujRo5kyZUqy56tUKiwtLVm1ahV9+vRJtn1W8cZMjJCQEFq0aMHFixfJkSMHhw8fpkmTJvz999+MHDmSkJAQypUrx4kTJyhcuHCi/WhyU0qSxNKlS1m5ciXGxsacOXOGQoUKxWmblt6YSTF//nw2bdpEuXLluHTpktb9ZgdvzJiYGPLmzUt4eLj8moWFBfXr16dhw4Y0aNCAatWqJdj/yZMnGT9+PPfv38fc3Jxbt27FCUhPii//vpGRkRQoUAAzMzMmTZrE2LFj47RNS2/MnTt30r17dyB2zzI0NJSIiAgUCgX+/v4UL15c5zCFgIAAGjRowNOnT1m5ciWjR4+O06Z79+7s3LmTatWq4eHhQb58+RLtT7On/uDBA4YMGZIpvkh+S2Q5b8yoqCiuXbsWJ7ZKqVTi5OSktePE58+fiY6OTjSjQ2RkJKGhoXGOrIy5uTleXl60bt2a8PBw2rZti6enJz179pRnug8fPqR58+ZazfAUCgXjx4/H3t6eqKioVNUr0zeaIOmKFStmsCWZD0NDQ44ePUrTpk2ZNGkSV69eJSgoiP379zN27Fhq1qyZqJA6OTlx9epV7O3tCQkJYfDgwSnKn2piYsKhQ4cYN24cw4YNS+0l6USXLl34888/KV68OK9fvyYiIgIHBwdcXV0pXrx4ivosVqyYPEs7f/58nPfu37/Prl27APjrr7+SFDqIneFp/i9t2bJFzO4yiEwjdm/evEGlUsWrxl2wYEGts+JPnjyZIkWKJBqMPH/+fMzNzeUjpf8RMhOmpqbs3buXVq1ayYLn4eFB6dKlcXNz01nwAEaOHAnAtm3bePjwYVqarzXXrl0DwM7OLoMtyZw0aNAAV1dX5s6dS7Vq1XSafRoZGbFx40ZMTU1xd3dP8d5oo0aNmDhxYrKzdH2jVCoZPnw4fn5+HDx4kDNnznDhwgWcnZ1T1a+mcPLXX7bnzp0rV22vVq2aVn3Vr1+fBg0ayAWMBelPphG71LJgwQJ27tzJ/v37E12Omjp1KiEhIfLx/PnzdLYybTAxMWHfvn1xBM/T05NSpUqlSPAaNWpEo0aNiIyMZOTIkXGWxzKCqKgobt26BcTGCAr0T7ly5eS6eJMmTcqSzhTGxsa0a9eO+vXr67Qcmhj29vYolUr8/f3l2ZiPj48cCvPzzz/r1N/06dOB2GB9Uccx/ck0YmdlZYWBgQFBQUFxXg8KCoq3b/Q1ixcvZsGCBbi5uVG1atVE25mYmJAnT544x7fC14LXsWPHBAWvZcuWybplKxQKli5dSoECBfD19WXWrFnpdBUJc+/ePSIjI7G0tBQZKdKQkSNH0qhRIz59+sSAAQN0du741siVK5f8PNHM7ubNm4daraZNmzY6f/Fydnbmu+++4/Pnz6xYsULv9gqSJtOInbGxMTVr1sTDw0N+Ta1W4+HhQZ06dRI97/fff+fXX3/F1dU12y9xJSR4Z86coXz58nh7e5M/f37u37+Pm5sbxsbG8pE7d+54R8mSJVm3bh0KhYJdu3bh5uZG7ty5MTU11fr4/Pmz1kdS/WhmdXZ2duTIkUMu7qnNoSkKqs0RHR2t1aGpt6bNERMTo/Wh7fiaZM36vi6VSsWGDRvIlSsX586dY/ny5Un2q8t9UCgUej90+Rzo0u+XaJYyz58/z6NHj+SwHM2sTpe/g0KhYNq0aQD88ccfWd5nIKuRacQOYjOpr1+/nr/++ov79+/LCYv79+8PxNZimzp1qtx+4cKF/Pzzz2zatAkbGxsCAwMJDAwkLCwsoy4hw0loSdPDw4NSpUoxYMAAIHZTXRsaNmzIuHHjgNjCsY8fP04zu5PiypUrANSqVStDxs9O2NjYsHjxYiD2gZ4Z0shlJF+K3bx581CpVLRo0QJ7e/sU9ff9999Tvnx5Pnz4wJo1a/RpqiAZMpXYde3alcWLFzNz5kyqV6/OzZs3cXV1lZ1Wnj17FmfPafXq1URFRdG5c2cKFy4sH5r/rNmVxASvb9++QGy1Z23L+kyePJk6deoQFhbGoEGDdM5MkVokSZIrbwuxSx8GDBggJxno37+/XAkho4iIiEgysXlaohG7a9eusXXrViA2o09KUSqV8hf2pUuXZvh+eHYiU4kdwKhRo/D39ycyMpJLly7h4OAgv+ft7R0nbdTTp08TXC6YPXt2+hueyUhI8F6+fEmtWrWIiYnh77//1qofQ0ND1q1bh6WlJTdv3mTJkiVpbHlcnjx5wtu3bzExMaFKlSrpOnZ2RaFQsHbtWiwtLblx4wYLFizIMFv8/PywtbWlYsWKfP78Od3Ht7GxoWDBgvJSc7NmzZLcVtGG7t27Y2NjQ1BQEJs2bdKTpYLkyHRiJ9AfCQle7dq1AXTKNVm0aFFcXFwA2Lx5M56enmlhboJo0r9VrVo1TkFSQdpSpEgRVq5cCcQ6ZWiWktOTgIAAnJycCAgI4NGjRxkS96lQKOTZHaRuVqfByMiISZMmAbE+Bxk9c84uCLH7xvla8DZt2oSRkRG3bt3SqcpBixYtGDp0KBC7tJlegbGaJcxSpUqly3iC/9G1a1c5/VyXLl04evRoigLOU0JMTAwtWrTA39+fnDlzArHCkBEeoo6OjvK/9evX10uf/fv3J1euXDx79ixDZ87ZCSF22QCN4JUsWZJPnz7J31Q7duyok9PJ7NmzqVy5Mh8+fGDYsGE6J9pNCZrg6F27djF8+PB4oSmCtEOhULB69WpsbW0JCAigQ4cONGjQAC8vrzQfOywsDB8fHwB69OgBxKbdSu89Y4ChQ4eybt06OWuKPjA1NZVFXJMwQZC2CLHLJpiYmFCjRg0gdpamqYPn7OystbOKiYkJLi4uWFlZ8eDBA8aPH69T7seU8MsvvzBs2DAMDAw4cuQITZo04a+//krzcQWxWFhYcPbsWSZMmECOHDm4dOkSzs7OODs7p2n9QwsLC+bMmQMgL186OztjZmaWZmMmhrGxMe3bt8fKykqv/VpaWgLIXtKCtEWIXTaiTJkyQGyhT1dXV2xsbHj06BE//PCD1jE/RYoU4c8//8TY2BgPD480d1jJkSMH06dP58iRI1SpUoXQ0FDGjRtH27ZtM00qs2+dvHnzMn/+fHx8fBg5ciTGxsZ4eXlRv3592rZty82bN9Nk3IkTJ9KoUSP5d22Su6cFR44coWDBgnIYjj74+PGj/PnV7KML0pZsKXYuLi5UrFgx27mya7KP+Pn5UaRIEbn69O3bt+nZs6fWVc5r1KjB/PnzAVi3bh379+9PM5s1VK5cmUOHDjFr1ixy5szJxYsXadSoEQsXLsyQpa3sSKFChVi+fDn37t2jf//+GBgYcOzYMWrWrEnXrl158OCBXsczMDBg27Zt5M+fn6JFi9K+fXu99q8tkydPBmD58uV66/PGjRtIkkSxYsW+2QrwmY1sKXYjR47k3r17GeJhlpFoxE6T97BMmTK4urqSO3duzp07x6BBg7Qq+ArQrl07RowYAcTm/EuPfQdDQ0MGDRrEuXPncHZ2Jjo6mt9//52GDRvGy0wvSDusra1Zt24dd+7coVu3bigUCvbs2UOVKlXo0aMHq1ev5ty5c3rJEKJJc3fnzp0MWcIE9L58Cf/bp6tZs6be+xYkTKaqZ5feZPV6drry9OlTSpYsibGxMZ8/f8bAwAAALy8vOWdm//79Wb9+faKJdL+saK1Wqxk4cCCHDx/GysqKkydPxqmFposzia515yRJ4vjx4/z666+8efMGiBXzBg0a0KBBA2rVqkWOHDm0rlEHsXsz2qBxLNAGXRISa/tFA7SvvQdpV39Pc223b99m9uzZHD58OF6bkiVLUrlyZapUqULVqlWpUqUKpUuXTtQmXWr6pdW+reb/hYZOnTqxb98+IH6NRl3r5Gno1asXO3bs4Ndff2XGjBmpsFag7XNciF02EjuVSkWOHDmIjo7G39+fEiVKALEPjQMHDvDDDz+gVquZOHFiou7QX4odwKdPn2jTpg23b9+mSpUqHD16VP4GnpZipyEkJIRFixaxe/fuOH0YGxtTq1YtHB0dadSoEeXKlUtWeITYpUzsNFy9epX9+/dz584dbt++TUBAQILnmZmZUblyZZo2bcqMGTMwMjKS38uMYjdkyBDZSebjx4/kypVLfi+lYlehQgUePHjAsWPHaNmyZSotzt4IsdOC7CZ2AGXLlsXX1xdPT085fkjz0Ni4cSNDhgwBYmOaxo8fH+/8r8UO/hf8++bNGzp06CDPDNND7DSEhIRw/vx5zpw5w5kzZ+LVQCxUqBANGzakUaNGNGjQQPaE+xIhdqkTu6959+4dt2/fjnPcvXs3ToqsHj16sGnTJtnGzCh2o0aNkpMqPHjwgHLlysnvpUTsPn78iLm5OZIkERQUJPbsUom2z3HtP1mCb4LSpUvj6+vLo0ePZLHTMHDgQN6+fcvUqVOZNGkS+fLlo1+/fsn2WaxYMTZv3kzHjh05cOAAlSpVYuzYsWl0BQljbm5Oy5YtadmyJZIk4efnx9mzZzl37hwXL14kMDCQf//9l3///RcjIyN69OjB6NGj4xULFuiPvHnzyrURNahUKvz8/PD29mbs2LH8/fff5M2blyVLluilBl1a8H/tnXVYVNn/x19Dg2sLJooBuibYuLZiYncitqKorLoi1i4GdiB2FygqtmDn6hrAGqjYhWKsKIKS9/cHv5mvKDGDxDCc1/PMg94599zPmYH7vuecT3zrAPXy5ctEYpcWhHNK1pAjHVRyMvLwgwcPHiT5/oQJExQu1kOHDuXo0aNK9Wttba1Y+pw9eza+vr7pYG3akMlkmJubY29vz7Zt27h58ybbtm1jyJAhWFhYEBMTw+bNm6lfvz5z5sxJcrYqyBi0tbUpX748w4YNY926dQAsX75c4d2rjnzrpZwemYPkzik5vSRZZiPELoch98j8559/klwGkslkzJs3j759+xIXF0ePHj2U9rS0s7Nj4MCBSJLEsGHD1KYSvKGhIY0aNWLatGmcPHmSnTt3UqNGDb5+/cqKFSto2LBhtqzMnd3p3bs3ixYtAhKy8+zbty9rDUqGb8UuuX1IVfD39wcgOjqasLCwn+5PoBxC7HIYjRs3RktLizNnzjBs2LBkBW/t2rU0a9ZM4YCirBjMmjWLunXrEhERwdy5c9Pb/HShXr16+Pj4sGnTJsqVK0dYWBju7u5ZbVaOxMHBgVKlSgGqOTRlJhUrVlT8+2eXMCEhnALgyJEjlC5dmgkTJvD48eOf7leQMsJBJYc5qADs2LGDfv36ER8fz+DBg1m5cmWSTgyfPn2iSZMmBAYGUrZsWc6fP6+UE0dwcDANGzYkNjaWlStX0rBhw1TP+VkHlbS2/ffff7G1tUVHR4erV69SrFixVPsUDioJpMce24kTJ2jTpg2//PILjx8/pmDBgkqfm1kOKjExMezbt48qVapQoUKFRO+lxUFFkiR8fHyYOnUqQUFBivfatWvH6NGjadasmdruX6ojyt7HxcwuB9K7d2+2bt2KlpYW69atY/jw4UneOPLkycPhw4cpXbo0Dx8+xNbWlvDw8FT7t7CwUFRImDNnTpYV3lSGatWqUbduXWJjYxV7SILMQz6jtrOzI2/evFlsTdLo6urSrVu3H4QurchkMjp37syNGzc4cOAALVq0QJIkDhw4gI2NDZUqVWLFihVK/a0JlEeIXQ7lW8Fbv359soJXpEgRjh49SqFChfD398fe3l4p8Ro/fjzGxsY8e/aMzZs3Z8QQ0g25MG/ZskXcYDKR4OBgjh49ikwmU2TjyUloa2vTrl07/Pz8uHPnDqNGjeKXX37hzp07ODg4UKJECcaMGaOo/iD4OYTY5WCUFTxzc3MOHTpErly5OHPmDKNHj051CSl37tyKOL3Vq1fz6tWrDBlDetC0aVPKlStHeHg427dvz2pzcgzy2LXWrVtjbm6exdZkLRUqVMDd3Z2XL1+ybNkyLCws+PTpE8uWLaN8+fK0bt2aY8eOZbWZ2ZocuWfn4eGBh4cHcXFxBAcH57g9u+/5fg9v9erVSe7z+Pr60q5dO2JjYxk7dizz589Psd/Xr1/TpUsXrly5Qrt27Vi5cmWybd++fau0varsQSm797F3715mzJhB8eLF+eeffxJl9fiZ63+//5MSqlRiV2VpWJU/cVX+Dn5mfy8sLAwzMzMiIiLw8/OjadOmgGqfbUbdulTZL1PlM1BlbJCwn+nu7p6oaO7s2bNxdnZWqR9NR+zZpUBOTQSdHN/v4SXnpdmqVStF2qQlS5awePHiFPuVyWS4urqipaXFwYMHuXjxYobYnx60bdsWY2NjXr58yf79+7PaHLVBkqQMqQ6+ceNGIiIiqFSp0g/JDQQJwtiiRQsOHjzI/fv3GT58OACTJ09W65hEdSZHip3gR5QVvL59+yqCxydOnJjqsl+lSpXo168fAFOnTiUmJib9jU8H9PX1GTRoEAArV67MsFlDdmPx4sUYGBgwcODAdAsNuH//PgsWLABg9OjRwvMwFcqWLcvKlStxdXUFhOClFSF2AgXfC97o0aOTbOfk5MSYMWMAGDx4MMePH0+x3/Hjx1OgQAGCg4PV2lnFzs4OQ0NDbt26xfnz57PaHLVgw4YNSJLEli1bqFixIsuXL1cpROJ7Hj16RIsWLXjz5g2VK1emd+/e6WitZjNlyhQheD+BEDtBIuSCJ5PJWLFiBbdu3fqhjTzLSs+ePYmNjaVbt25cu3Yt2T7z58/PpEmTAFi4cCFv3rzJMPt/hgIFCtCrVy+AFPcXcwohISHcvXsXmUyGlZUVHz9+ZOzYsdSuXTtNDwNPnz7FxsaGFy9e8Ouvv+Ln54ehoWEGWK65CMFLO0LsBD/Qu3dvOnXqBCRUaU7qSV7uwSnPstKtW7cUn/h79uxJtWrVCA8PZ+bMmRlm+88ybNgwtLS0OHXqFFeuXMlqc7IU+R5rtWrVuHz5MoMHDwbgxo0bNGnSRGXB69GjB8+ePQMSKs+fPXtWbbOmqDPfC16LFi04ceKEWHpPBSF2giRxcXFBT0+PI0eOYG9vn+T+nZ6eHrt27SJ37ty8ePGCwMDAZPvT0tJi5syZyGQy9u7dy5kzZzLO+J/AzMyM7t27AzB8+PAcnSTa2NgYSIiHq1SpUqKg+3z58qnswfxteIG3tze9e/emRIkSVK5cmZEjR+Ll5UVISEj6GK/hTJkyBTc3N7S1tTl+/Dg2NjbUqFEDT0/Pn1pm1mSE2AmSpHr16nh7e6Otrc22bdtwcHBI8skxT548inRgqT3pW1lZMXDgQAAmTZpERERE+hueDsycOZPSpUvz8uVLRo8enWNvHo0aNaJq1apERkby4MEDDA0N6dq1Kzt37uTZs2dUq1ZNpf62bt3Ks2fP8PT0xMHBgapVqyKTybh37x5r166lX79+mJqaUr58eYYMGaJoL0iaP/74gwcPHuDo6IiRkREBAQH07t0bc3Nz1q5dK2Z635Ej4+zk5NTcmKrg6elJnz59kCSJ8ePHM3v27B+85xYuXMikSZNo3749e/bsURxPaokqIiKCZs2a8eLFCwYPHsyMGTOArI+zAxLVtrt58yZt27YlKiqK+vXrs2bNGkXexpwUZxcQEMD69etp0KABbdu2TVSlOz3yaP73339cvHiRc+fOce7cOQIDA3/o18zMjCpVqpA3b17y5MlDnjx5yJs3L7lz5yZPnjzkzp070XtmZmYqx7SlZOuNGzeYMmUKnTt3xs7OLtH7GRVnp6r979+/Z8WKFSxbtox3794B4OzszKxZszTe21VUKlcCIXbKsX79esV+zfTp05kyZUqi9//55x/q169PgQIFePXqleIPNbn9mNOnT9OvXz9kMhn79++nevXqaid2AEePHmXkyJFERkZiamrKhg0bqFq1ao4Su5TIiKTR4eHhCvE7e/Ys169fVznOr379+vj6+qqULPtbvrVVntRc/vvZp08fVqxYoRB9dRE7OZGRkSxatIipU6cCOUPwhNgpgRA75Vm6dCljx44FYN68eYkqkcfExFCoUCEiIyMJCAigcuXKQMolWxwdHdm7dy/ly5fn6NGjfPz4UWlbMkvsAO7cucOAAQN48uQJBgYGLFy4ULGnpwxC7BJQ9nv4/rsNDw/n0qVLPHnyhPDwcD59+sTHjx8T/fz29e7dO2JjYxk+fDjLly9X2r6kbH3+/DkNGjTg+fPnmJmZ8fz5c+Li4qhQoQI7d+6kcuXKaid2ctzd3XF0dAQ0X/CE2CmBEDvVmDlzpuKJcfXq1QwdOlTxno2NDSdOnMDDw0OR1Pfz58/J9vXu3Ttq1qzJ+/fvmTJlCv3791faDlX20KKiopRum1z5oo8fPzJp0iTOnTsHJMQWTpkyJcWUYnKUaSNHlT9FIyMjpduqYoMqN29VhFzZ70yVPpMSBD8/P9q1awckpMHr2rWryv3GxMTw9u1bmjVrRnBwMObm5pw8eZLg4GDs7Ox4+fIlhoaGLF68mIEDByotIqp8vzo6Okq3TQ53d3dFPOykSZOYNWvWT4uoOiLShaWAh4cHFStWpFatWlltSrbCxcWFP/74A0jwVPw2e4rcSUUuCKlRqFAh5s2bByTMFB88eJDO1qYfefPmxcPDQ5Gyad26dfTq1UuxNyJQH1q2bMmECROAhN/RtFSg//jxI+3btyc4OJgSJUpw+PBhTExMqF+/PpcvX6ZFixZ8+fKF4cOHY29vn+JDXXJERESwbt06xo0bl2Fxp6NHj2bp0qUAuLm54eLikqOdVsTMTszsVEKSJEaPHo2Hhwfa2tp4e3vTqVMnzp49S+PGjSlatCgvX75EJpOlehOQJImuXbty7Ngxqlevzo4dO5R68szsmd23nDhxgsmTJxMREUGxYsVYt25dil6JYmaXQGbN7CBhZta8eXMuXbpE9erVOXv2rNKf15cvX2jVqhUXLlzA2NiYkydPYmFhkahNfHw8CxcuZMaMGYplTU9PT8XyfXJIkkRwcDCrV69m8+bNfPr0CYAaNWpw4sSJREWB02NmJ+fbGZ4mLmmKmZ0gQ5DJZCxbtgw7Ozvi4uLo2bMnfn5+1K5dGz09PV69eqX007RMJmPJkiX88ssv+Pv74+npmcHW/zzNmzfn8OHDlClThpCQEDp16sTOnTuz2izBN+jq6rJt2zYKFCiAv78/Li4uSp0XExND9+7duXDhAnny5OHgwYM/CB0kiOyECRPw8/OjWLFi3L17l3r16rFp06YkH1ji4uI4cOAAbdq0oXLlyri7u/Pp0yfKli1LgQIFuH79Ov369cuQhNuQeIY3Z86cHDvDE2InUBl57swuXboQHR1Np06duHbtGrVr1waUX8oEMDU1VYQfLFiwQK3r3skxNzfn8OHD2NjYEBUVhZOTEy4uLmpdkT2nYWpqqgiCX7ZsWaqVLOLj47G3t+fIkSMYGBiwd+9eLC0tUzynfv36XLt2TbGsOWTIEAYOHKiIHw0NDWXu3LlYWFjQpUsXTpw4gUwmo02bNhw8eJDbt2/j4+ODvr4+hw4dUiy/ZgRC8MQypljG/Amio6Pp0KEDvr6+VK5cmfbt2zN79mzq16/PyZMnlb75x8fH07hxYwICAjA3N2fFihWUKlUq2fZZuYwJCdlDIMHupUuXKjL4m5mZ0bhxY2rXrk2dOnUoUqSIWMb8fzJzGfNbJk6cyJIlSyhYsCCPHj1KFCf4LVu3bmXAgAHo6Oiwe/duWrVqpbS98fHxzJ8/n2nTpik+v6ZNm3L27FnFbK1gwYIMGDCAoUOHUrp06UR97N69W5EQ28XFhWnTpqn0nanC8uXLFV6aq1atYtiwYRlyncxEeGMqgRC7n+fBgweYm5ujq6vLjRs3qFWrFp8/f8bOzg53d3el9wYuXrxIv379ePv2Lblz52bBggXJ1jlTF7GTc+zYMcaOHftD+ESpUqWoW7cudevWxdramtKlS6f4eQixS3+xi46OxtLSkgcPHrBkyZIUK3ksXbqU0aNHp1qUODl7z58/T8eOHRV7cQC1atVi+PDhdOvWLcW4v2XLljF+/HggQaDnzJmTIftqMpkMNzc3nJ2dyZUrFzdv3vxBfLMbQuyUQIjdzxMTE4O+vj6SJPHq1SsCAwOxtbUlLi4OZ2dnJk+erFQ/r1694s2bNzg6OuLv7w/AqFGjGDVq1A83NXUTO0iovH3hwgWuXLnCP//8Q1BQ0A/CYWxsrBC/Nm3aULx48UTvC7FLf7EDWLt2LQ4ODpiZmXHv3r0knT+6devG3r17Wbp0qUqzne/tPXPmDLNmzaJ+/fr06tUr0Z5fat/vt4L3+++/M2/evHQXPJlMplhJOX/+PE2aNOHEiRPZOiRBiJ0SCLFLH4oXL05ISAhXrlyhVq1arFu3jiFDhgCwYsUKRfHWlJDv1UVHR+Pm5sa2bduAhJuQPIG0HHUUu+/59OkT169f59q1a1y+fBl/f/9Ey7p58uRh586d1KhRQ3FMiF3GiN2XL18oW7Ys7969w9PTM8mkAHXr1uXq1avs3buXNm3aKG2DKvYq8/2uXLlS4Tk5evRolixZkq6CJ+/rwYMHVKtWjcjISJYvX46Dg0O6XSOzEd6YgkzD1NQUSMg4AQlB13IPOEdHR06ePKl0X3p6ekybNg03Nze0tLTw9vZmzZo16W90BpMnTx6aNGnC5MmTOXDgAA8ePODAgQO4uLhQqVIlPn36RLdu3fjnn3+y2lSNx9DQUHEzX7RoUZKiI//dlf8uZxUjRoxgxYoVQELIgIODg0oPIMpSrlw55s6dCyQs4fr6+qb7NdQNIXaCn+Z7sQNwdXVVFHft168fN2/eVKnPzp07KwRz4cKFHDlyJP0MzgIMDAyoW7cuY8aM4eDBg/z22298/vyZHj16cOnSpaw2T+MZMWIEBgYGXL169YfqHNHR0YrUdlktdpDwsLh+/XpkMpnCiSQjBG/kyJF07tyZ6OhoOnbsqPGCJ5YxxTLmT+Pk5MTixYsZP358os39r1+/0qZNG06fPk3x4sX5+++/KVGiRJJ9xMTEJHl8woQJuLu7o6+vj6+vL9bW1ty/f19p21QJB0jOhu/5Nvg3rXz58gVHR0cuX76MgYEB7u7utG/fXunzVRmXssuzoFpuTFXiwpS9zaiyZKdKWz09PRwcHFizZg22trb4+Pgo3nv8+DEWFhYYGBgkci5RBlVun6ouEW/fvp1BgwYRHx9Pv379WLNmTZLLpj8TgB4dHU2vXr0UIRA+Pj60atUqWwWdi2VMQaaR1MwOEm4wu3fvpmLFirx8+RJbW1uVEj5DQpqjdu3aERUVRbdu3dKU/kkdMTQ0ZPny5dSvX5+vX78yatQoTp8+ndVmaTRjxoxBJpNx6NAh7t69qzgu/70tUaKEWt3k+/Tpw+bNm9HW1mbr1q3Y29une21FPT09PD096dSpE1FRUXTq1EljZ3g5UuxEbsz0RT5b+17sIMGZ4/DhwxQtWpSbN2/SrVs3pWdQkPCEu2nTJqpXr867d+/o1KmTyoKprujr67N06VIaN25MVFQU/fv35/jx41ltlsZiYWGhmD0vWbJEcfxbsVM3evTowfbt29HR0cHLy4uhQ4em+5JmThG8HCl2Dg4OBAUFcfXq1aw2RSNIbmYnp2TJkhw8eJBcuXJx8uRJWrVqxa1bt5TuP1euXOzZswdTU1OCg4MZM2aMxmQr0dPTY9GiRTRv3pzo6Gjs7e05evRoVpulschLU23btk2xT/fixQtAPfbrkqJz587s2LEDbW1ttm3bhqOjY7pnP/le8DRxDy9Hip0gfZHfJEJCQpLdx7GysmLnzp3o6+tz5swZqlevzujRowkLC1PqGkWLFmXfvn3kyZOH69evM336dI1Jd6Srq8u8efNo3749MTExDB48mIMHDyp9/qtXr1i1ahW9e/fG2dmZ69evZ6C12Zt69epRp04doqKiWLlypSI5M6iv2AF07NiRjRs3IpPJWLNmjaL6SHqi6YInHFSEg8pPExcXh5GREdHR0axcuVJRCiep5ZZHjx4xceJEhYNA+fLl2b9/P2ZmZkpd6/jx43Ts2JG4uDj++usvOnXqlGJ7dXVQSYoCBQrg6OjInj17FGmrrK2tk2wbGhrK4cOH2b9/P//8808i4dfT0yMgIEDxOy0cVBJ/Bnv37qVHjx5AQrxiZGQkkJA+a9CgQSo9RGWkg0pSbNq0SVFH8sqVK1haWqZrhQT4XxpAPz8/SpUqxZMnT9K1//RGOKgIMg1tbW1FEtsRI0akGBdXpkwZdu/ezfHjxzE1NeXevXtYW1tz5swZpa5lY2OjSPm0dOlSwsPDf9p+dUFHR0fhlRkbG8ugQYMUS2yQUANtz5499O3bl+rVq+Ps7Mzly5eRJInatWszffp08uXLR3R0tMY48mQEHTp0oEOHDgBERkZiZGRE586d6dixY9YapgQDBgzAysoKgJcvX2bINaKjoxX1JZs1a5Yh18gKhNgJ0gVXV1fGjh0LwLBhw1INBG/atCmXL1+mTp06fPjwAVtbW9avX6/Utfr374+ZmRnv379n9erVP2u6WqGtrc3SpUupUqUK79+/Z8CAARw5coRhw4ZRqVIlRo4cyfHjx4mNjaVy5cq4uLhw+fJl9uzZw+DBgylfvjyA2j+NZyXa2trs3LmTrVu34uvry5s3b9i5cycFCxbMatOUQp495+vXrxnS/8SJE3n48CGmpqYsWrQoQ66RFQixE6QLMpmMRYsWqSR4RYoU4dSpU4rgcwcHByZMmJDq8piurq5iJrl9+3YeP36cLmNQF4yMjNi0aRMFCxbk5s2b2Nvbs2/fPr58+ULp0qVxcnLi1KlTHD16lOHDhyfKsSlfDn769GkWWZ890NbWpmfPnjRr1gx9ff2sNkclDA0NgYRYzfTGz8+PVatWAbBx40by5s2b7tfIKoTYCdKN7wUvtSVNSMgssm3bNqZPnw4kpEjq3LlzqsG9DRs2pGHDhsTGxjJ37lyNcVaRU6JECTZs2ECuXLkoXLgwQ4cOxdfXl0uXLvHHH39gbm6e5HlC7DQfefWE9J7ZffjwgUGDBgEJeTk1aQkThNgJ0pm0CJ5MJsPZ2Znt27djaGiIn58fjRs3TnXGNnHiRHR0dLh48aJKBWOzC3Xr1iUoKIjAwEBcXV2xsrJK1SlDLnZiGVNzyaiZ3ejRowkJCcHCwgI3N7d07VsdSF83np/Ew8OD+fPn8/r1a6pVq4a7u7ui+vX33L59m2nTpnH9+nWePn3K4sWLFTdYQdYiFzxICN4dMWIEWlpaCi+ypNDT06NXr16Ym5vToUMHgoKCaNCgAX5+fooNeTlFihRR/Bw+fDjLly9n4cKFdOzY8YclKVVu+sp6F75+/VrpPlXx3FSlzEpytdHkS5qPHz9WeKLmzp1b6X5VmS2okvFfWY9BVbxnM8IbNCNR5fNKCbnYyb8rVcaW3O+Yt7c3O3bsQEtLiy1btqhUVSO7oDYzu507d+Lk5MT06dPx9/enWrVqtGzZkjdv3iTZPjIykjJlyuDm5qa4+QnUh7Ts4QHUrFmTK1euKDKmyPfmksPJyQkTExMeP37MsmXL0sP0bE3JkiUBeP/+vUZ5qgr+h/xBJ71mdq9evWLEiBEATJ48mTp16qRLv+qG2ojdokWLGDJkCPb29lSsWJFVq1ZhZGTEhg0bkmxfq1Yt5s+fT8+ePbPdBnNOIa2CV7x4cfbs2YOWlhanTp3izp07ybbNnTs3rq6uQMLv0L///psutmdXcufOTYECBQB49uxZFlsjyAjScxlTkiSGDBnC+/fvsbKyYurUqT/dp7qiFmIXHR3N9evXad68ueKYlpYWzZs3T9fyJ1FRUXz69CnRS5CxJCV4Q4YM4dChQ0RERCR7XqlSpbC1tQUSClqmRKdOnWjXrh2xsbGMHDkyQ7zUshOlSpUChJOKppKeDirr16/n8OHD6OnpsWXLFpUSEGQ31ELs3r17R1xcHIULF050vHDhwirtj6TGnDlzyJs3r+KlzumBNInvBW/dunW0a9eOggUL0qpVK7Zu3ZrkvsPIkSMB2LJlC58/f06x//nz52NsbExwcDCzZ8/OkHFkF4TYaTbymd2bN29+Kin058+fcXJyAmDWrFlUrlw5XexTV9RC7DILZ2dnPn78qHgll7hYkP7IBc/Pz4+RI0dSqlQpoqKi8PPzo3///kyZMuUHwWvevDnm5uZ8+vSJQYMGpeiQULBgQUUm+1WrVrFjx46MHI5aU65cOSDhIeHevXtZbI0gvcmXLx+Q4FRibm6Os7Mzt2/fVrmfO3fuEB4eTq5cuRQJsjUZtRC7QoUKoa2trchCLic0NDRdnU/09fXJkydPopcg85DJZLRo0QIPDw8eP35MUFAQkyZNAhJm3d8LnpaWFitXrkRPTw9vb28cHBxS9Dxr0aKFIpWYk5MTfn5+GTsgNaVnz55YWFjw5s0bevXqxZUrV7LaJEE60qtXLwYPHkzevHl5/vw58+bNo2rVqtSoUYNFixYREhKiVD/lypVDV1dXkYZO01ELsdPT06NGjRqcPHlScSw+Pp6TJ08mmwhXkL2RyWT8+uuvzJkzh6VLlwJJC17Tpk3Ztm2bItv7tGnTUux36tSp9OjRg7i4OAYPHpwjHVby58+Pp6cnVlZWfPz4kY4dOyb62xJkb/Lnz8+KFSt4/vw5Xl5edOjQAV1dXQIDA5kwYQIlS5aka9euigTXKfUjf9h0cHDg7du3mWF+lqEWYgcJT+Jr165l8+bN3LlzhxEjRhAREYG9vT2QkA/R2dlZ0T46OprAwEACAwOJjo7m5cuXBAYGKhKYCrIPjo6OiiXIpASva9eurFixAkjYW0gpH6ZMJmPx4sXY2Njw9etXxo0blyOTIufLl48tW7bQsGFDIiMj6dmzJ3v37s1qswTpiIGBAZ07d2bv3r2EhISwYsUK6tevjyRJ+Pj4MGDAgFT39KZMmUKVKlV49+4do0aNyiTLswa1EbsePXqwYMECpk2bhqWlJYGBgfj6+iqcVp49e8arV68U7UNCQrCyssLKyopXr16xYMECrKysGDx4cFYNQfATpCZ4w4YNY+bMmUDCH6i3t3eyfenq6rJu3Tpq1apFeHg4jo6O6erolF0wMjJi9erVdOnShZiYGAYNGqR0sm1B9qJAgQIMGzaMs2fPcurUKfT09NizZw8zZsxI8Tw9PT02btyItrY2u3bt0ujlTFHPTtSzUwvkv4bLli1TeG06Ozszc+ZMRYosSZJwcnJi6dKlaGtrs2XLFlq0aJFsnx8+fKBly5Y8fvyYUqVKsW7dOsXmflIom70jteWhb1Elg4oqSXeTy6CSFPny5WPixIkKoZs8eTITJkxIMvWYKreD7JRBRR1icVX5vH627ebNmxk4cCAAW7dupXfv3kDyGVRcXFyYPXs2JiYm3L59m0KFCil9/axG2fu4EDshdmrHsmXLGDNmDABr1qxhyJAhivfi4+Oxs7Nj27ZtGBgY4OvrS/369ZPt6+bNm9ja2vLy5UusrKzYs2dPsgKk7HKnKplJVInl1NXVVbptsWLFlG5bsGBBJEli6dKluLu7Awl10SZNmvTDNVWJs8qIVGiquNIrW2wX/ueurwwZJfiqoErquOTypU6ZMoWFCxeir6+Pr68vdevWTVb0o6KiqFGjBkFBQfTq1StbeTOL4q2CbIujo6Mik8P27dsTvaelpcXatWtp06YNX79+pUOHDty4cSPZvooVK4aXlxf58+cnICCAwYMHq3ST1BRkMhljx45VfK6bNm3CysqK3r17s3DhQs6cOSOSLGgYf/31F+3atSMqKooePXqkGHepr6/Pxo0b0dLSwtPTk3379mWeoZmEmNmJmZ1aEhwcTPny5dHT0yMsLCzRk3lcXByRkZG0bt2aixcvUqRIEc6dO0eZMmV+6Of9+/cAXL9+nS5duvDlyxe6dOnC8uXLf3h61uSZ3bccOHAAV1dX/vvvv0THZTIZ5cuXp2bNmtSqVYuaNWtiamqa7MxBzOzUe2YHCYHjzZo148aNG1SuXJmLFy+mmBh80qRJzJs3j8KFCxMUFKRIPafOiGVMJRBip75IkoSpqSkvX77kxIkTiWpryfdqwsLCaNq0KTdu3KBMmTKcO3fuh7hMudgBnDx5kv79+ysKxX4fxpBTxA4SROXhw4dcu3aN69evc/369SRzaZqYmFCvXj0mTZqUqEgsCLED9Rc7gOfPn9OgQQNCQ0Np164de/fuTdbur1+/Ur16de7evUu/fv3YsmWLSnZnBWIZU5CtkclkNGnSBIATJ04k2SZfvnwcPnyYMmXK8OjRI9q1a0dYWFiyfTZr1kzh8enh4aFUUmpNRUtLC3Nzc3r16sWCBQs4ffo0ly9fVuyRWllZoaOjw5s3b9i3bx8dO3ZMMSG3QH0xNTVl165d6Ovrc/DgQaZMmZJsWwMDAzZs2ICWlhZbt27l8OHDmWhpxpIjxc7Dw4OKFStSq1atrDZFkAJyT8slS5YkW5y1aNGiHD16FBMTEwICAmjatGmiEJXv6datmyJec+rUqaIs0DcYGxvTunVrpk2bxoEDBwgKCmLXrl1YWFjw+vVrOnXqJILTsym1a9dWhCGkFn5SunRpxQrJwYMHM9q0TCNHip2DgwNBQUFcvXo1q00RpEDPnj1p27YtX79+xdbWNtnvq2zZsvj6+lKkSBFu3LhBw4YNU0wuMGbMGIW356xZs3B1dVWL4p7qhqGhIdbW1uzevRtra2siIiIYOHAg69atE59XNuT69esAtG/fPtk2oaGhNG3alJCQEEqUKMHEiRMzy7wMJ0eKnSB7oKuri7e3N02aNCE8PJyWLVty8+bNJNtWrVqVc+fOUbZsWR4/fkzDhg0JCAhIsq1MJmPy5MmKJ93ly5fz+++/qxS3lZPInz8/27Zto2fPnsTHx/Pnn38yefLkHOnVml0JCQlReFgmlylFLnR37tyhRIkSnD59Okmnr+yKEDuBWmNoaMj+/fupU6cOHz58wMbGhuDg4CTbyp1ULC0tefPmDc2aNePixYvJ9j1ixAgWL16MlpYW27dvZ/r06SoFNeck9PT0mDdvHlOmTEEmk7Ft2za6d++e4h6pQH1Yv349sbGx1K9fH0tLyx/eT0ro5NUzNAUhdgK1J3fu3Bw9epRq1aoRGhpKy5Ytk40ZKly4MCdPnqRhw4Z8+vSJXr16ceTIkWT77t27N2vXrkVPT49Tp04xceLEHF/8NTlkMhnDhg1j3bp1GBkZcfbsWVq0aJEjc49mJ6KjoxX7dA4ODj+8/73QnTp1SuOEDkTogQg9yEa8efOGRo0acffuXcqVK8e5c+coWrRokm2/fv1Kr1692LdvH1paWqxZs4ZBgwYl2/fx48fp2LEjkZGR1KpVix07diSbWky+96EMqtSTU2UZ9ZdfflG6rbGxsdJty5Ytq1S7e/fuMWbMGEJCQsibNy+rV69OsUKJsreZjEqplZ6u/GlFle9MlTCU1PD09MTOzo6iRYvy9OnTRH2HhobSpEmTbD2jE6EHAo3DxMSE48ePY2ZmxoMHD7CxsUkUR/ctBgYGeHt7M2jQIOLj4xk8eDBubm7J3nRtbGzYs2cP+fLl4+rVq3To0CFHJo9WlvLly7N//34sLS35+PEjffv2xcvLK6vNEiTBypUrARgyZEgioYuLi6NVq1bZWuhUQczsxMwu2/Ho0SMaNGhASEgINWvW5OTJk8l+f5Ik4eLiwpw5cwAYN24cCxYsSPJJ/927dwQFBdGtWzfevHmDmZkZu3fvplSpUonaiZldAnnz5uXr16+MHz9e4aLeq1cvLCwsFA8VkiQl+ve3P3PlykW5cuUwNzdXZOoQM7sE0mtm5+/vT926ddHV1eXhw4eYmpoq3rt//z4WFhbo6+tz69atbCt0yt7HlUtFLhCoEWXKlOHEiRM0bNiQa9euYWtri6+vL0ZGRj+0lclkzJ49G2NjY5ycnFi8eDHv3r1j/fr1Sd5QKlasyOHDh+natStPnjzB1taWI0eOJLpJCP6HgYEB7u7ulC1bliVLluDp6ZmmfgoWLEi5cuWwsLDAwsICc3NzzM3NMTY2zjDxyQnI60B26dLlh+xC8n3vMmXKZFuhUwUhdoJsya+//sqxY8do0qQJ58+fp2PHjowaNYqCBQtSoEABChQoQP78+RVZ/MeNG0ehQoWwt7dn69at/Pfff+zatStJgTQzM+PQoUN069ZNkTbp0KFDKj2Z5yRkMhnjxo2jcuXKHDx4MNFSsVyokvr533//8eDBA168eMH79+95//49//zzT6K+8+bNi7m5OeXLl6dChQpUrFiRX3/9NcX8joIE3r17x86dO4GkHVPkYvf9yoWmIsROkG2xsrLiyJEjtGjRguPHj3P8+PEf2vzyyy8K8bO1teXAgQN07dqVw4cP06JFC/z8/JLM8VikSBE8PT1p0aIFt2/fZtSoUaxfvz7DciFqAjY2NtjY2CT5Xkq7JZGRkTx69Ij79+/z4MED7t+/z/3793n69CkfP37k2rVrXLt2LdE5JUuWpHTp0hQuXBhjY2NMTEwUP4sWLUrx4sVVKlekiaxdu5aoqCiqV69O7dq1f3j/yZMnQMLDXU5AiJ0gW1OvXj2OHTuGm5sbr1+/5r///uO///4jLCwMSZL4/Pkznz9/5tmzZwQGBvLp0yeOHz+Ora0tFy9epG/fvuzZsyfJPZ0SJUqwadMmOnXqxOHDh5k8eTJubm5ZMErNxsjIiMqVK1O5cuVEDxNfv37l8ePHBAcHc/fuXe7cuUNQUBCvXr3i2bNnSSaulqOlpUWRIkUoWbKk4mVqaqr4d5EiRTT6weXy5cvMmjULSAgiT2op+O7duwAaFTieEjnSQcXDwwMPDw/i4uIIDg4WDioaSFxcHB8/flSIX8OGDYmKiuLJkyeUKlWKixcv0rRpU6Kjo/njjz9wc3Pj3bt3Sfa1b98+hg4diiRJTJo0icaNGytth6Y7qChLeoYefPjwgTt37vDq1SvevHnD27dvFT9DQ0N5+fIlX79+TbEPXV1dTE1Nsbe3Z/DgwYnEILs7qLx48QJra2tCQ0Pp2LEjXl5eioe5b/s1MzPj6dOnnDp1SpF0PTsiSvwogfDGzDkULVqU169fExAQoMggsX37dvr27QvAhg0baNeuXbLnr127lsmTJwMJuTVbt26t1HWF2CWQmXF2kiTx9u1bnj9/zrNnz3j+/Lni38+ePePly5fExsYq2o8ePZrJkyf/sK+Y3mSG2MXHx9OwYUOuXLlClSpVOHv2bKLryvsNDQ2lSJEiyGQywsLCsvX9T3hjCgTfkD9/fl6/fs2HDx8Ux/r06cO9e/dwdXVl2LBhFChQgN9++y3J84cMGcLbt29ZvHgx7u7u5M2bl3r16mWW+QIVkMlkmJiYYGJiQo0aNYDEoQexsbG8evUKHx8fZs+ejbu7O1++fOGvv/5SKURBHfH29ubKlSvkzp2b3bt3Jyuw8qTqFSpUyNZCpwrZ+5sVCJQkf/78AD/kcpwxYwbdu3cnJiYGe3t7Hj16lGwfzs7O9OnTh/j4eObMmZNsUmqBeqOjo4OpqSmOjo7MnTsXgHXr1jF+/PhsnQw8JiaGP//8EwAnJydKly6dbFu52OWkMmdiZifIEcjF7tuZHSQ88W/atIknT55w5coV+vfvz/nz5xXtv2fdunW8e/cOPz8/XF1d2b9/PxUrVkz2um/fvlXaRlUytty4cUPptqosiX3+/Fnptt/HbaVE4cKFlW6rLKpUNU/OM7Ndu3bEx8fj4uLCjh07+PjxIytXrlT6M1PF4zMqKkrptqos58ptWL9+PQ8ePMDY2Jjff/8dHZ3kb+9XrlwBSNJLU1MRMztBjiA5sYP/VVYwNTXl3r179OrVK9nyNTo6OqxevZo6derw6dMnevbsmaJXoED96dChAwsXLkRHR4fDhw8zdOhQlYRJHYiMjMTV1RUAFxeXFPcHJUlSzOyE2AkEGoY8qXNSYgcJsxQfHx9y5crFyZMnGTNmTLJOFYaGhmzZsoXy5csTGhpKz549k83RKcgetGzZEnd3d/T09PD19cXe3p7IyMisNktpli9fTkhICKVKlWLYsGEptn38+DHv379HV1eXqlWrZpKFWY8QO0GOIKWZnZxq1aqxbds2ZDIZa9euxd3dPdm2+fLlY+fOnZQoUYKHDx/Sp08fIiIi0t1uQebRqFEjVq5ciaGhIadPn6Zv374qLetmFWFhYYq9xxkzZqCvr59ie/kSpqWlZaptNQkhdoIcgTJiB2Bra6u4cUyYMCHFWnhFixbFy8uL/PnzExAQwKBBg0T17myOtbU1Xl5e5M6dm0uXLtGjRw+1L1A7f/58Pnz4QMWKFRWhNCmRE51TQIidIIcgF7vnz5+nGvM1duxYRWmgPn36pOgMYm5uzvbt2xWzgZEjR4oZXjandu3a7Nq1i/z58+Pv70/79u05evSo0rGCmUlISAhLly4FYObMmUo5tuRE5xQQYifIIVSrVg2ACxcuMHHixBRvXDKZDHd3d5o0acLnz5/p3Llzil6VNWrUYO3atWhra3PgwAFatmzJnTt30n0MgszD0tKSvXv3YmxszP379xk4cCAODg5qF5rw+++/ExkZSd26denQoUOq7ePj4wkICABQxCDmFITYCXIEVlZWeHh4ALBgwYJU99h0dXXx8vKibNmyPH36lO7duxMdHZ1se3nx1yJFinD//n1atWrF9u3b1XI2IFCOChUqcPr0aRwdHdHV1cXHx4dx48apFPKQkRw4cAAfHx+0tbVZuXKlUplfHj16REREBPr6+lSoUCETrFQfhNgJcgwjR45kzZo16Ojo4OnpibW1NQ8fPky2fYECBfDx8SFPnjxcuHCB0aNHpyhe1tbWnDx5kiZNmvD161ecnJxYtWpVqnkaBepLwYIFcXZ2ZtWqVWhra+Pt7c0ff/yR5Q8xHz9+ZOzYsQCMHz9esXKRGv/++y8AlSpVSjEOTxPJkWLn4eFBxYoVc9wGrSAh7depU6coXLgwN2/epGbNmhw9ejTZ9r/++qvCQ3PDhg0sX748xf4LFSrEjh07cHFxQVtbm7///ptp06aJWLxsTps2bVi+fDlaWlps27aNqVOnZqngTZkyhZCQEMqWLcu0adOUPk8udsqKoyaRI8XOwcGBoKAghVeSIGfRoEEDrl+/Tt26dQkLC6Nt27a4uromuzzVunVrhYfm+PHjOXPmTIr9a2lp4ejoiI+PD/nz5+fVq1fMmDGD06dPZ/mMQJB2OnbsyOLFi4GEbCUzZ87Mku/z4sWLrF27Fkh4cDc0NFT6XLmzVU4UO1H1QFQ9yLFERUUxduxYVq1aBSRk0ti8eXOS2fwlSWLgwIFs2rSJfPnyceHCBSwsLFK9RkhICEOHDuXYsWMAdO/enaVLlyZZafv7Kt0pIb/ZKcOXL1+Ubvvx40el26qyMqJsCRlVEjGr4iwiTyqgDKmJx549exS14pycnJg4caJS/apyj0kuXVlUVBQ1a9bk7t27DBgwgLVr16q0HFm6dGmePHnC6dOnVSpVpc4oex/PkTM7gQBAX1+flStXsn79evT19dm/fz+1a9cmKCjoh7YymYxVq1ZhbW1NWFgYnTp1SjVmDxKWNXfv3o2rqyva2trs2rWLhg0biiTS2ZguXbowYcIEABYtWqRw/c8M3NzcuHv3LiYmJorVBmX5+PGjojp5TpzZCbET5HgGDhzI+fPnMTU1JTg4mDp16rBnz54f2unr6+Pj44OpqSn379+nb9++ieqiJYeWlhbjxo3D19eX4sWLc//+fZo2bYqPj09GDEeQCfTq1QtHR0cA5syZw+rVqzP8mrdv31YI3JIlSyhQoIBK58uXME1NTZNNdK7JCLETCEhYkrt+/boitq5r165MmjTph6WywoULs3v3boyMjDh+/DiTJk1S+hrW1tb8/fffNG/enC9fvtCvXz/mzJkj9vGyKQMGDFDM8KZPn87GjRsz7Frx8fEMHz6cmJgY2rZtS9euXVXuIyc7p4AQO4FAgbGxMceOHWP8+PEAzJ07lzZt2vyw52VlZcX69esBWLZsmUo3uYIFC7Jnzx5GjRoFwKxZs7Czs8tWSYcF/8PJyUkxw3N2dmbHjh0Zcp1Vq1Zx+fJlfvnlF9zd3dNUTV2InUAgUKCjo8P8+fPx8vLCyMiIY8eOYW9v/8MMr0uXLkydOhWAUaNGceLECaWvoa2tjZubGx4eHujq6rJ3715atWrFf//9l65jEWQ8MpkMZ2dnRaWB33//XZGhJL24du0akydPBhJSgpmamqrcR2RkJOfOnQOE2AkEgm/o0aMHBw8eREdHh507dzJ06NAfQhNcXFzo2rUrMTExdOnShfPnz6t0DTs7Ow4dOkTBggXx9/dn1KhRPH36ND2HIcgEZDIZM2bMoE6dOkiSRGBgYLr17e/vT+vWrYmIiKBZs2aMGDFC5T4iIyOxtbUlODiY3Llz06hRo3SzLzshxE4gSIamTZuyY8cOtLS02LBhA6NGjUq0v6alpcXGjRtp3bo1X758oXXr1jg7O/Pp0yelr/Hbb79x6tQpypUrR2hoKI6Ojul6sxRkDjKZTFExPL3CmAICAmjVqhVhYWHUq1cPb29vlUIz4H9Cd/r0aXLnzo2vry8mJibpYl92Q4idQJAC3bp1Y/PmzchkMlauXMnvv/+eSPD09fXZuXMnHTp0IDo6moULF1KpUiU2bdqkdA7FsmXLcuLECSpVqsTnz5/5448/OH78eEYNSZBBhIeHAyQZQ6kq//77L61ateLDhw/UrVuXgwcPqtxvUkJXr169n7YtuyLETiBIhb59+yqCuBcvXvxDqigDAwN27drFvn37MDc3JzQ0lKFDh1KvXj0uXbqk1DUKFSrE/PnzadiwIbGxsbi5uYlE0tmM9BK7mzdv0rJlS/777z9q167NoUOHVJ4tCqH7kRwpdiI3pkBVBg0apMiLOW/ePGbPnp3ofZlMRps2bQgICGDevHnkyZMHf39/bGxsGDBgAM+fP0/1Gvr6+kydOpXu3bsDsGHDBhYtWqRULJ8g65GL3c8sY96+fZu2bdvy/v17atasyZEjR5LM6JMSQuiSRqQLE+nCBCqwaNEifv/9dyBB9ORxVt/z5s0bpk6dytq1a5EkCUNDQyZMmMDEiRMxMjJK8pxvq5yvWrVKUU6mbt26LF++nCpVqijeVyWx9MGDB5VuK/f6S28yovLDt59HanTq1Enptg0aNFC67beejaVKleLLly9cu3aNkiVL/tA2tUDuoKAgmjdvztu3b6lRowYnTpxQKc3Zhw8f8PLyYsWKFdy6dSvHCJ1IFyYQZABOTk6KvIgTJ07E3d09yXYmJiasXr2a69ev06hRI758+cJff/1FhQoV8PT0THV5cvjw4Xh7e/PLL79w+fJl6tSpw/jx41VyfhFkHjExMYp4zLQsY969e5cWLVrw9u1bLC0tOXbsmFJCFxcXh6+vLz169KBo0aKMHDmSW7dukSdPnhwhdKogxE4gUJHJkycrYuwcHR1Zs2ZNsm0tLS05deoUu3btolSpUrx48YI+ffrQoEEDrly5kuJ1bG1tCQwMpHPnzsTFxeHu7k6VKlXw8vISe3lqhnwJE1QXu3v37mFjY0NoaCjVqlXDz88v1VRgd+/eZdKkSZQsWZLWrVuza9cuoqKiqFKlCosWLeLBgwdC6L5DiJ1AkAb+/PNPRaaV4cOHs2XLlmTbymQyunbtSlBQEK6uruTKlYu///6bunXr0rdv3xSXJE1NTfH09OTgwYOUK1eO169fY2dnR//+/bl//366j0uQNuQzbiMjI5WqEAQHB2NjY8Pr16+pUqVKikIXFhbG6tWrsba25tdff2Xu3LmEhIRQsGBBHB0d8ff3599//2XcuHEYGxuny7g0CSF2AkEakMlkzJs3TxF7Z29vz9KlS7l69Wqysy5DQ0NcXFwU5VlkMhk7duygQoUKTJ06lc+fPyd7vRYtWuDv78+ff/6JgYEBly9fpn379sybN4+IiIiMGqZASdLiifnw4UNsbGx49eoVlSpVws/Pj4IFC/7QTpIkpk+fTtGiRRk+fDiXL19GW1sbW1tb9uzZw8uXL1m6dClWVlZpSiOWUxBiJxCkEZlMxtKlSxkyZAjx8fGMHTtWqewUxYsXZ8OGDVy9epWGDRvy9etXFi5cmGq6MH19fSZNmsS///5Ls2bNiI2NZdu2bWIfTw2Ij4+nZMmSlChRQulzjhw5Qnh4OBUrVuTYsWPJzsa+fPnC0aNH+fr1K5UqVWLBggW8ePGCgwcP0rlzZ/T19dNrGBqN8vNtgUDwA1paWqxatYpixYpx9OhR9PX1lX66rl69OqdPn2bfvn2EhIQk6cGXFGZmZqxatYpTp07x/v17ihYt+jNDEKQD1apV49q1ayqdM3r0aAYNGkRkZCSFChVKtp28woavry/du3cXs7c0IsROIPhJtLS0mDFjBjNmzFD5XJlMpnCL/zb0QBmaNm2q8vUE6oWRkVGyoSjfkjdvXnr06JEJFmkuareM6eHhgZmZGQYGBtSpUydVjzVvb28qVKiAgYEBVapU4ciRI5lkqUAgEAiyC2oldjt37sTJyYnp06fj7+9PtWrVaNmyJW/evEmy/d9//02vXr0YNGgQAQEBdOzYkY4dO3Lr1q1MtlwgEAgE6oxaZVCpU6cOtWrVUqRlio+Px9TUlNGjRydZEbpHjx5ERERw6NAhxbG6detiaWnJqlWrfmgfFRVFVFSU4v8fP36kZMmSPH/+XGRQEWQIqvx5qbKMqUz6MTm+vr5Kt/3zzz+VbqsK3/7dpRcVK1ZUum27du2Ubmttba10W1WyuKiSDUWV8IWczqdPnzA1NSUsLCzl1GqSmhAVFSVpa2tLPj4+iY73799fat++fZLnmJqaSosXL050bNq0aVLVqlWTbD99+nQJEC/xEi/xEi8Nez1//jxFjVGbx4d3794RFxdH4cKFEx0vXLgwd+/eTfKc169fJ9n+9evXSbZ3dnbGyclJ8f+wsDBKlSrFs2fPlE62WqtWLa5evZqlbVVpL3/qUWX2quljzCg7MrKtGGPm2ZGRfWv6GLPifiNJEuHh4RQrVizFc9VG7DIDfX39JGNS8ubNq/QXo62tneVt09I+T548WW63uowxI+3IyM8DxBgzyw4xxp/rO7PvN8pMVtTGQaVQoUJoa2sTGhqa6HhoaChFihRJ8pwiRYqo1D49cHBwyPK2aWmfUX1nxzFmpB0Z+Xmoghjjz9khxvhzfaujHWrnoFK7dm1FJnl5VoJRo0Yl66ASGRmZqIRJvXr1qFq1apIOKt+TE0r8iDFqBmKMmoGmj1Gdx6dWy5hOTk7Y2dlRs2ZNateuzZIlS4iIiMDe3h6A/v37U7x4cebMmQPAmDFjaNSoEQsXLqRt27Z4eXlx7dq1FLPQf4u+vj7Tp0/X6HQ7YoyagRijZqDpY1Tn8anVzA5g+fLlzJ8/n9evX2NpacmyZcuoU6cOAI0bN8bMzIxNmzYp2nt7ezNlyhSePHmCubk58+bNo02bNllkvUAgEAjUEbUTO4FAIBAI0hu1cVARCAQCgSCjEGInEAgEAo1HiJ1AIBAINB4hdgKBQCDQeDRe7HJCySBVxrh27VoaNGhA/vz5yZ8/P82bN0/1M1EHVP0e5Xh5eSGTyejYsWPGGpgOqDrGsLAwHBwcKFq0KPr6+lhYWKj976uqY1yyZAnly5fH0NAQU1NTxo0bx9evXzPJWtU4d+4c7dq1o1ixYshkMvbt25fqOWfOnKF69ero6+tTrly5RJ7m6oiqY9y7dy82NjYYGxuTJ08erK2t8fPzyxxjvyf1FM3ZFy8vL0lPT0/asGGDdPv2bWnIkCFSvnz5pNDQ0CTbX7x4UdLW1pbmzZsnBQUFSVOmTJF0dXWlmzdvZrLlyqPqGHv37i15eHhIAQEB0p07d6QBAwZIefPmlV68eJHJliuPqmOU8/jxY6l48eJSgwYNpA4dOmSOsWlE1TFGRUVJNWvWlNq0aSNduHBBevz4sXTmzBkpMDAwky1XHlXHuH37dklfX1/avn279PjxY8nPz08qWrSoNG7cuEy2XDmOHDkiubi4SHv37pWAH5Laf8+jR48kIyMjycnJSQoKCpLc3d0lbW1tydfXN3MMTgOqjnHMmDHS3LlzpStXrkjBwcGSs7OzpKurK/n7+2eOwd+g0WJXu3ZtycHBQfH/uLg4qVixYtKcOXOSbN+9e3epbdu2iY7VqVNHGjZsWIba+TOoOsbviY2NlXLnzi1t3rw5o0z8adIyxtjYWKlevXrSunXrJDs7O7UXO1XHuHLlSqlMmTJSdHR0Zpn406g6RgcHB6lp06aJjjk5OUm//fZbhtqZHigjBBMnTpQqVaqU6FiPHj2kli1bZqBl6YcyY0yKihUrSn/++Wf6G5QKGruMGR0dzfXr12nevLnimJaWFs2bN+fSpUtJnnPp0qVE7QFatmyZbPusJi1j/J7IyEhiYmIoUKBARpn5U6R1jH/99RcmJiYMGjQoM8z8KdIyxgMHDmBtbY2DgwOFCxemcuXKzJ49m7i4uMwyWyXSMsZ69epx/fp1xVLno0ePOHLkiMYkjchu95v0ID4+nvDw8Cy536hVurD0JDNKBmU1aRnj9/zxxx8UK1bshz86dSEtY7xw4QLr168nMDAwEyz8edIyxkePHnHq1Cn69OnDkSNHePDgASNHjiQmJobp06dnhtkqkZYx9u7dm3fv3lG/fn0kSSI2Npbhw4czefLkzDA5w0nufvPp0ye+fPmCoaFhFlmWcSxYsIDPnz/TvXv3TL+2xs7sBKnj5uaGl5cXPj4+GBgYZLU56UJ4eDj9+vVj7dq1FCpUKKvNyTDi4+MxMTFhzZo11KhRgx49euDi4qJUAvTswpkzZ5g9ezYrVqzA39+fvXv3cvjwYVxdXbPaNEEa2LFjB3/++Se7du3CxMQk06+vsTO77FIy6GdIyxjlLFiwADc3N06cOEHVqlUz0syfQtUxPnz4kCdPntCuXTvFsfj4eAB0dHS4d+8eZcuWzVijVSQt32PRokXR1dVFW1tbcezXX3/l9evXREdHo6enl6E2q0paxjh16lT69evH4MGDAahSpQoREREMHToUFxcXtLSy97N6cvebPHnyaNyszsvLi8GDB+Pt7Z1lq0jZ+7clBfT09KhRowYnT55UHIuPj+fkyZNYW1sneY61tXWi9gDHjx9Ptn1Wk5YxAsybNw9XV1d8fX2pWbNmZpiaZlQdY4UKFbh58yaBgYGKV/v27WnSpAmBgYGYmppmpvlKkZbv8bfffuPBgwcKIQcIDg6maNGiaid0kLYxRkZG/iBocnGXNCClb3a736QVT09P7O3t8fT0pG3btllnSKa7xGQiXl5ekr6+vrRp0yYpKChIGjp0qJQvXz7p9evXkiRJUr9+/aRJkyYp2l+8eFHS0dGRFixYIN25c0eaPn16tgg9UGWMbm5ukp6enrR7927p1atXild4eHhWDSFVVB3j92QHb0xVx/js2TMpd+7c0qhRo6R79+5Jhw4dkkxMTKSZM2dm1RBSRdUxTp8+XcqdO7fk6ekpPXr0SDp27JhUtmxZqXv37lk1hBQJDw+XAgICpICAAAmQFi1aJAUEBEhPnz6VJEmSJk2aJPXr10/RXh56MGHCBOnOnTuSh4eH2oceqDrG7du3Szo6OpKHh0ei+01YWFim267RYidJkuTu7i6VLFlS0tPTk2rXri1dvnxZ8V6jRo0kOzu7RO137dolWVhYSHp6elKlSpWkw4cPZ7LFqqPKGEuVKiUBP7ymT5+e+YargKrf47dkB7GTJNXH+Pfff0t16tSR9PX1pTJlykizZs2SYmNjM9lq1VBljDExMdKMGTOksmXLSgYGBpKpqak0cuRI6cOHD5lvuBKcPn06yb8t+Zjs7OykRo0a/XCOpaWlpKenJ5UpU0bauHFjptutCqqOsVGjRim2z0xEiR+BQCAQaDwau2cnEAgEAoEcIXYCgUAg0HiE2AkEAoFA4xFiJxAIBAKNR4idQCAQCDQeIXYCgUAg0HiE2AkEAoFA4xFiJxAIBAKNR4idQCAQCDQeIXYCgYbx22+/MXTo0Kw2QyBQK4TYCQQaRHx8PP/++y/Vq1fPalMEArVCiJ1AoEHcu3ePiIgIIXYCwXcIsRMINAh/f390dHTUuiCvQJAVCLETCDQIf39/KlasiIGBQVabIhCoFULsBAINwt/fXyxhCgRJIMROINAgAgMDqVGjRpLvNWrUCEtLSywtLdHW1ubatWuZbJ1AkHXoZLUBAoEgfXj48CFhYWHJzuzOnj0LwPTp02nUqBE1a9bMTPMEgixFiJ1AoCH4+/sDoK2tza1btxTH9fT0sLCwAGDJkiU8efKETZs2ZYWJAkGWIcROINAQ5GJXt27dRMfr16/P+fPn2bRpE+fOncPb2xuZTJYVJgoEWYZMkiQpq40QCAQZi4+PD6tXr2b//v3o6+tntTkCQaYjxE4gyAHkz58fY2NjjIyMAJg5cya2trZZbJVAkHkIsRMIBAKBxiNCDwQCgUCg8QixEwgEAoHGI8ROIBAIBBqPEDuBQCAQaDxC7AQCgUCg8QixEwgEAoHGI8ROIBAIBBqPEDuBQCAQaDxC7AQCgUCg8QixEwgEAoHGI8ROIBAIBBrP/wFk2GelGGtvsgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.util import plot as galpy_plot\n", "\n", "galpy_plot.scatterplot(\n", " lz,\n", " jr,\n", " \"k.\",\n", " xlabel=r\"$L_z$\",\n", " ylabel=r\"$J_R$\",\n", " xrange=[0.0, 1.3],\n", " yrange=[0.0, 0.6],\n", ");" ] }, { "cell_type": "markdown", "id": "81695d91", "metadata": { "papermill": { "duration": 0.005391, "end_time": "2026-05-16T13:54:50.808758+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.803367+00:00", "status": "completed" }, "tags": [] }, "source": [ "The curved shape is a selection effect: low angular-momentum stars can only\n", "enter the selected radial ring if they have highly eccentric orbits (and\n", "therefore large $J_R$). The density gradient in angular momentum reflects the\n", "falling surface density of the disk. We can also look at the distribution of\n", "radial and vertical actions:" ] }, { "cell_type": "code", "execution_count": 17, "id": "09d4009a", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:54:50.821285Z", "iopub.status.busy": "2026-05-16T13:54:50.820977Z", "iopub.status.idle": "2026-05-16T13:54:50.946143Z", "shell.execute_reply": "2026-05-16T13:54:50.945246Z" }, "papermill": { "duration": 0.132401, "end_time": "2026-05-16T13:54:50.946862+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.814461+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(6, 6))\n", "ax.plot(jr, jz, \"k,\")\n", "ax.set_xlabel(r\"$J_R$\")\n", "ax.set_ylabel(r\"$J_z$\")\n", "ax.set_xlim(0.0, 0.4)\n", "ax.set_ylim(0.0, 0.2);" ] }, { "cell_type": "markdown", "id": "6f7f1843", "metadata": { "papermill": { "duration": 0.005557, "end_time": "2026-05-16T13:54:50.958448+00:00", "exception": false, "start_time": "2026-05-16T13:54:50.952891+00:00", "status": "completed" }, "tags": [] }, "source": [ "For more on action-angle coordinates and the different methods available for\n", "computing them, see the [action-angle tutorials](../action_angle/introduction.ipynb)." ] } ], "metadata": { "kernelspec": { "display_name": "py313", "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": "3.13.13" }, "papermill": { "default_parameters": {}, "duration": 156.534615, "end_time": "2026-05-16T13:54:51.579765+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/potentials/nbody_snapshots.ipynb", "output_path": "doc/source/tutorials/potentials/nbody_snapshots.ipynb", "parameters": {}, "start_time": "2026-05-16T13:52:15.045150+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }