{ "cells": [ { "cell_type": "markdown", "id": "a1f2b3c4d5e6", "metadata": { "papermill": { "duration": 0.003578, "end_time": "2026-06-30T01:07:04.921641+00:00", "exception": false, "start_time": "2026-06-30T01:07:04.918063+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Action-Angle Coordinates: Adiabatic Approximation\n", "\n", "The adiabatic approximation (`actionAngleAdiabatic`) separates the radial\n", "and vertical motions, computing $J_z$ at each radius while assuming that\n", "the radial motion is slow compared to the vertical oscillation\n", "(e.g., [Binney & McMillan 2010](http://adsabs.harvard.edu/abs/2010MNRAS.401.2318B)).\n", "This is fast but less accurate than the [Staeckel method](staeckel.ipynb) for orbits with\n", "large vertical excursions.\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "Frequencies and angles using the adiabatic approximation are\n", "**not implemented** at this time. Use the [Staeckel approximation](staeckel.ipynb) if you need\n", "frequencies and angles.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "id": "b2a3c4d5e6f7", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:04.929256Z", "iopub.status.busy": "2026-06-30T01:07:04.928984Z", "iopub.status.idle": "2026-06-30T01:07:10.803161Z", "shell.execute_reply": "2026-06-30T01:07:10.802033Z" }, "papermill": { "duration": 5.878779, "end_time": "2026-06-30T01:07:10.803854+00:00", "exception": false, "start_time": "2026-06-30T01:07:04.925075+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "import matplotlib.pyplot as plt\n", "from galpy.potential import MWPotential2014\n", "from galpy.orbit import Orbit\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)" ] }, { "cell_type": "markdown", "id": "c3b4d5e6f7a8", "metadata": { "papermill": { "duration": 0.002607, "end_time": "2026-06-30T01:07:10.809190+00:00", "exception": false, "start_time": "2026-06-30T01:07:10.806583+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Setup\n", "\n", "Setup is straightforward. Using `c=True` gives a significant speed-up\n", "(about 50x for single evaluations, 200x for arrays):" ] }, { "cell_type": "code", "execution_count": 2, "id": "d4c5e6f7a8b9", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:10.815346Z", "iopub.status.busy": "2026-06-30T01:07:10.814960Z", "iopub.status.idle": "2026-06-30T01:07:10.824779Z", "shell.execute_reply": "2026-06-30T01:07:10.823959Z" }, "papermill": { "duration": 0.013874, "end_time": "2026-06-30T01:07:10.825523+00:00", "exception": false, "start_time": "2026-06-30T01:07:10.811649+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from galpy.actionAngle import actionAngleAdiabatic\n", "\n", "aAA = actionAngleAdiabatic(pot=MWPotential2014, c=True)" ] }, { "cell_type": "markdown", "id": "e5d6f7a8b9c0", "metadata": { "papermill": { "duration": 0.002328, "end_time": "2026-06-30T01:07:10.830454+00:00", "exception": false, "start_time": "2026-06-30T01:07:10.828126+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Computing actions\n", "\n", "Calling the object returns $(J_R, L_z, J_z)$:" ] }, { "cell_type": "code", "execution_count": 3, "id": "f6e7a8b9c0d1", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:10.836612Z", "iopub.status.busy": "2026-06-30T01:07:10.836419Z", "iopub.status.idle": "2026-06-30T01:07:10.848377Z", "shell.execute_reply": "2026-06-30T01:07:10.847378Z" }, "papermill": { "duration": 0.016425, "end_time": "2026-06-30T01:07:10.849599+00:00", "exception": false, "start_time": "2026-06-30T01:07:10.833174+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.013525, L_z = 1.100000, J_z = 0.000469\n" ] } ], "source": [ "jr_ad, jphi_ad, jz_ad = aAA(1.0, 0.1, 1.1, 0.0, 0.05)\n", "print(f\"J_R = {jr_ad.item():.6f}, L_z = {jphi_ad.item():.6f}, J_z = {jz_ad.item():.6f}\")" ] }, { "cell_type": "markdown", "id": "a7f8b9c0d1e2", "metadata": { "papermill": { "duration": 0.002526, "end_time": "2026-06-30T01:07:10.855428+00:00", "exception": false, "start_time": "2026-06-30T01:07:10.852902+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Action conservation for a thin-disk orbit\n", "\n", "The adiabatic approximation works well for orbits that stay close to the\n", "plane. Let's check action conservation for a near-circular orbit:" ] }, { "cell_type": "code", "execution_count": 4, "id": "b8a9c0d1e2f3", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:10.861557Z", "iopub.status.busy": "2026-06-30T01:07:10.861359Z", "iopub.status.idle": "2026-06-30T01:07:10.887895Z", "shell.execute_reply": "2026-06-30T01:07:10.887131Z" }, "papermill": { "duration": 0.030751, "end_time": "2026-06-30T01:07:10.888809+00:00", "exception": false, "start_time": "2026-06-30T01:07:10.858058+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum height: 0.18 kpc (for R_0 = 8 kpc)\n" ] } ], "source": [ "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.05])\n", "ts = numpy.linspace(0, 100, 1001)\n", "o.integrate(ts, MWPotential2014)\n", "\n", "print(f\"Maximum height: {o.zmax() * 8.0:.2f} kpc (for R_0 = 8 kpc)\")" ] }, { "cell_type": "markdown", "id": "f2b03870", "metadata": { "papermill": { "duration": 0.002563, "end_time": "2026-06-30T01:07:10.894165+00:00", "exception": false, "start_time": "2026-06-30T01:07:10.891602+00:00", "status": "completed" }, "tags": [] }, "source": [ "Now compute the actions along the orbit and check conservation:" ] }, { "cell_type": "code", "execution_count": 5, "id": "c9b0d1e2f3a4", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:10.900260Z", "iopub.status.busy": "2026-06-30T01:07:10.900043Z", "iopub.status.idle": "2026-06-30T01:07:11.256506Z", "shell.execute_reply": "2026-06-30T01:07:11.255589Z" }, "papermill": { "duration": 0.360601, "end_time": "2026-06-30T01:07:11.257347+00:00", "exception": false, "start_time": "2026-06-30T01:07:10.896746+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "js = aAA(o.R(ts), o.vR(ts), o.vT(ts), o.z(ts), o.vz(ts))\n", "\n", "plt.plot(ts, numpy.log10(numpy.fabs((js[0] - numpy.mean(js[0])) / numpy.mean(js[0]))))\n", "plt.plot(ts, numpy.log10(numpy.fabs((js[2] - numpy.mean(js[2])) / numpy.mean(js[2]))))\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\log_{10}|\\Delta J / \\langle J \\rangle|$\")\n", "plt.legend([r\"$J_R$\", r\"$J_z$\"])\n", "plt.title(\"Adiabatic: action conservation (thin-disk orbit)\");" ] }, { "cell_type": "markdown", "id": "d0c1e2f3a4b5", "metadata": { "papermill": { "duration": 0.003311, "end_time": "2026-06-30T01:07:11.264526+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.261215+00:00", "status": "completed" }, "tags": [] }, "source": [ "The radial action is conserved to about half a percent, the vertical action\n", "to about two percent." ] }, { "cell_type": "markdown", "id": "e1d2f3a4b5c6", "metadata": { "papermill": { "duration": 0.002819, "end_time": "2026-06-30T01:07:11.270284+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.267465+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Comparison with Staeckel for thin-disk orbits\n", "\n", "For thin-disk orbits, the adiabatic and Staeckel approximations agree well:" ] }, { "cell_type": "code", "execution_count": 6, "id": "f2e3a4b5c6d7", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:11.277164Z", "iopub.status.busy": "2026-06-30T01:07:11.276954Z", "iopub.status.idle": "2026-06-30T01:07:11.287067Z", "shell.execute_reply": "2026-06-30T01:07:11.286258Z" }, "papermill": { "duration": 0.014911, "end_time": "2026-06-30T01:07:11.288107+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.273196+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Method J_R J_z\n", "Adiabatic: 0.013525 0.000469\n", "Staeckel: 0.013636 0.000463\n", "Difference: 0.000111 -0.000006\n" ] } ], "source": [ "from galpy.actionAngle import actionAngleStaeckel\n", "\n", "aAS = actionAngleStaeckel(pot=MWPotential2014, delta=0.4, c=True)\n", "\n", "jr_st, jphi_st, jz_st = aAS(1.0, 0.1, 1.1, 0.0, 0.05)\n", "\n", "print(\"Method J_R J_z\")\n", "print(f\"Adiabatic: {jr_ad.item():.6f} {jz_ad.item():.6f}\")\n", "print(f\"Staeckel: {jr_st.item():.6f} {jz_st.item():.6f}\")\n", "print(\n", " f\"Difference: {jr_st.item() - jr_ad.item():.6f} {jz_st.item() - jz_ad.item():.6f}\"\n", ")" ] }, { "cell_type": "markdown", "id": "a3f4b5c6d7e8", "metadata": { "papermill": { "duration": 0.002721, "end_time": "2026-06-30T01:07:11.294123+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.291402+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Failure for high-z orbits\n", "\n", "The adiabatic approximation breaks down for orbits that reach distances\n", "of a kpc and more from the plane. Let's examine a higher-z orbit:" ] }, { "cell_type": "code", "execution_count": 7, "id": "b4a5c6d7e8f9", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:11.300989Z", "iopub.status.busy": "2026-06-30T01:07:11.300789Z", "iopub.status.idle": "2026-06-30T01:07:11.327419Z", "shell.execute_reply": "2026-06-30T01:07:11.326376Z" }, "papermill": { "duration": 0.031029, "end_time": "2026-06-30T01:07:11.328017+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.296988+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum height: 1.35 kpc (for R_0 = 8 kpc)\n" ] } ], "source": [ "o_hz = Orbit([1.0, 0.1, 1.1, 0.0, 0.25])\n", "o_hz.integrate(ts, MWPotential2014)\n", "\n", "print(f\"Maximum height: {o_hz.zmax() * 8.0:.2f} kpc (for R_0 = 8 kpc)\")" ] }, { "cell_type": "markdown", "id": "43304066", "metadata": { "papermill": { "duration": 0.00312, "end_time": "2026-06-30T01:07:11.334321+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.331201+00:00", "status": "completed" }, "tags": [] }, "source": [ "Compute actions along this higher-z orbit:" ] }, { "cell_type": "code", "execution_count": 8, "id": "c5b6d7e8f9a0", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:11.341606Z", "iopub.status.busy": "2026-06-30T01:07:11.341406Z", "iopub.status.idle": "2026-06-30T01:07:11.549200Z", "shell.execute_reply": "2026-06-30T01:07:11.548493Z" }, "papermill": { "duration": 0.212857, "end_time": "2026-06-30T01:07:11.550382+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.337525+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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NDeE973kPPv/5z+OpT31q5vGnnXYatm7dirVr1+LQQw9FrVbDlVdeiUMOOWTO51y5ciW++c1v4le/+hUKhUIqp4dtixYtwg033IBXvOIVePe7342hoSEce+yxGBsbM0SSURRJBm1XPPtsrjvXZ1mzZg2uv/56rFq1Ci984QsxODiIU089FR/96Edx7rnn9rz32dps7n133MsXv/hFnHfeeTj66KNRKpVw3HHH4elPfzquuOIKKXhfuHAhbrzxRpxwwgn44Ac/iAULFuCAAw7AP/3TP+G5z30uXv7yl8/6eu9617vgum6mmBrYfX1yT71HAPj7v/973HPPPbjjjjt26XkPOOAAXHXVVYiiCIcffricQz796U8DAAqFwi671o4dO7Bt2zaMjIxg7dq1c8pDtCvbejbzWJb16h8XXHABZmZm8IEPfGBO9/NkNUJ7OXRze9KaECK6rts1O6pIQtYrkiqKIuNcsz0/wFLUJ0kCz/OM74rfd8bsc+pm39tc7tW22bbPztznbGxXPku3drff7+62+bqX2fY9UVJhLu9tT/XJXdF2lFI873nPw1Of+lQjSetczj2XZ7jooovw6le/GldccYV0Je2K5+i2WdkVfajbPc5lHuvVVll/P+6447Bw4UL85je/eVzP8GSxHBDllltuueW2U3bttdfixS9+MR544IHdXivr5JNPxi9/+UuMjIxgYGBgt17r/4JdddVVOP7443HffffhgAMOmO/beUJYXtw1t9xyyy23nbIXvOAFaDabsxacz9ZOOeUUvPGNb8RznvMcVKtVnH322Tj77LNx2mmn5WBolnbssceiVqvlhXPnYDlDlFtuueWW215l1113Hf7t3/4Nt956K6anp2XtuY985CN5IdjcdpvlgCi33HLLLbfccnvSWx5llltuueWWW265PektB0S55ZZbbrnlltuT3nJR9SwsSRJs3boVAwMDuf86t9xyyy233J4gRilFpVLBypUre4r/c0A0C9u6dStWrVo137eRW2655ZZbbrnthG3atAn77rtv12NyQDQLE2GemzZt6ljCIrfccsstt9xy27tsZmYGq1atmlW6hhwQzcKEm2xwcDAHRLnllltuueX2BLPZyF1yUXVuueWWW2655faktxwQ5ZZbbrnllltuT3rLAVFuueWWW2655faktxwQ5ZZbbrnllltuT3rLAVFuueWWW2655faktxwQ5ZZbbrnllltuT3rLAVFuueWWW2655faktxwQ5ZZbbrnllltuT3rLAVFuueWWW2655faktxwQ5ZZbbrnllltuT3rLAVFuueWWW2655faktxwQ5ZZbbrnllltuT3rLAVFuueWWW2655faktxwQ7QV22X0jOOmsm3Hdw2OP+1xXPjiKr/3pAWyfbu6CO8ttd9u9W6exZaox37exV9pNj07gN7dsAqV0vm8ltx7WDGOcfPbN+Pf/ve9xn2uy1sbbfnwDvnHJg7vgznLb3TZebeEHV63Hpon6fN/K4zZvvm/gyW6UUpz8s1sAACOVJi74h2N2+lxhnOADP7sV7TjBtukmvvmWp++iu8xtd9gjO6p4/feuReA5uOAfXogDlvQ/rvPds2UaSwcLWDpQ3EV3OHd7cHsFd26awglHrkB/Yeenl2YY46Szb0alGWGqHuJ9xx6wC+8yt11tv79tCy67fxQA8JqnrcAzVi/Y6XN954qHcN36cVy3fhxvfe5qrBgq7arbzG032Nt/ciMe2F7BbRsn8eN3Pmu+b+dxWc4QzbNt1FD1PVtmUGtFO32ue7ZMox0nAIDbNk4+7nvbkxYnNPPZHxqp4BPn3onz79w6D3e1e+2Pt29BlFDU2zEuvmd76u/3bJnG/dtmZnWuOzdN4bXfuwZv+e8bEPI+MB/297+4FZ/63V34zO/vntXx1VaEB7ann/Hah8dQabL+8Kd7023zRLdmGOM3t2zCRK0937eyS+xajd2+8ZGJx3WuOzdNaecdf1zn2lts23QD922d3Vh+Itl4tYUHtlcAAJfeN4JmGBt/j+IED49WnjAsbw6I5tnutQbJhvGdpx31c20Yr2O6Ee70ufakbZlq4IVfvQIv+s8rsW3adB995eIH8LvbNuMjv7r9CfM8s7XbtYn/ni3Txt8uuXc7XvPda/Ca715jLBCd7JybN4JS4NGxGv760I5dfKezs61TDTw6VgMAXLe+t/u30gxxwrf/iuO/9Vf84oYNxt8eHKnIn+/eMo12NH8gb3fY58+7F5/87V045Ze3GZ/HCcXHfn0Hjv/WX/DwaHWe7m7upt/r+h07f9+UUuNcjzyOc+1p+9M92/D671+LSywAP1Vv43Xfuxav/u5fceMj/zcAnrDbNk4Zv9vr1z/86na87Bt/wT/95q49eFc7bzkgmmfbaulH7N/v2DSF133vGvzzH+9BnHRH2TaYsM+1pyxOKL500f34yV8fmdXxP7v+MWybbmKs2sbPrlcLY5xQ3PSY2m1edt/ILr/X+TR94l+nAQAA+NVNGwGwNvjJNY/2PJfYpQHAQyPzs4jooG6s2sZUvTv78ed7RyRD+oOr1ht/0/UI7SjBY+O1XXin82vVVoRf37IJAHDd+nFDQ3bjo+P4w+1b8MD2Cr5z+UPzdYtzsjihEggD2YBo43gd1zw0hoTPYVunGjj7usdSWsexahszTcUUP7LjifHewzjBab+/G3dumsL7f34rIo2l/dM927Gj0gKlwI9nOSc+Ucx+15sn1bh9eLQqme/f3bZ51mz3fFoOiObZ7AlhqwZqKKX41G/vxF2bp/HzGzbgrOsew0MjFfzN6dfi5LNvQaVpMibbpqxzzRMg+v1tm/GjvzyCL154fwqkZdkVXHsAAHdoO46tUw3pNgGAa7uwDklCewLGvclmmiG2ae9+dKYlf6aU4pYNyuV51YOjPd1g+s5svsCD7f7ZNNH93etu0C1TDaOvbLQEmk8ktuS69WP45Y0bjUXR+LsVPKGD4b+sU3+78oFRCSC62fevfBjP+Y/LcMUD87NhGKu2pKseSM9p26YbeM13/4q/++mN+Pi5d2Ci1sbrv38tPn/+vXj3mTcZ7TQyY37X7gd70n70l/V4649uwGNjvcfTg9srmKqr+fgubXOgA4FrHx5PuZWEPTxawb//731PqL6+wZpr9I3MTY+artMnguwhB0TzbNutCUDfLa7fUcU6bbf/xQvvw+u+dy1u3ziFy+4fwY/+Yu42tu4lDNH16xUtfMUDo12OBBrt2Nhl3L99Rvqb7fu/fv04RmeaqUViotbG0V+5HG/57+ufMK4VweII4XGlFaHeZuBv+0wTlWYEhwCDRQ+VZoSbH+usy5hphgYYeXQWE/jusAmLEbL7tm7j1ZbUnYg2uGuzWkQEWNx3ARPUPlEWiUY7xvt/dis+84e7cbrFel29bgfeePq1+MRv7jQ+X6exew+Pqp8rrQjrRk3m0LZ6O8J//vlBjFZaOOu6DV2P3V22o9Iyfh+vtg3NyLk3b5aszx/v2IpnfOFS+Z0Htldwh+YSHqua5xq1zr2njLHcD+D6R8Zx6u96u3ts9uNB7Z3er/3cCGMc+s9/wrO+eJlxDAC89cc34oxrH8Vn/jA7/d3eYI+NMQC0sC8AAGzVwPBdm6cAAPstKgMALr57216vJcoB0Tyb2E0dsXIQADBRVYvKHZvYAvHMNQtw5L5DoJQNKGEX3LXNOJeYPA5dPgAABgOxJ+1RbdfQa3f14EgFCQUGimxRnKqHmOQ7LQHwjlo9jMB1sG26ied86XK87Sc3GLvK3926GSMzLdyyYRIX3r3370IAtfAdtXoYJd8FoFgiAYIPWNKPVxyxHABjCzrZSIbbYT5M3yED6d2+bhfdsx1xQnHkvkN48SFLAJi7y0kO8J6z30IATxxAdPW6Hajy4ICr1yktV5xQfOb3d+O2jVOS9RRjXgf+tgbj3i3d3Qz6Qnz35ql5WXAEuFm7pA8A0I4TVLQAib9wTduKIRX96DoEa/hC+ZeHFCsm+u5hK1jbjNda8xIkoLfrbBhXG9zofVm8XzEvAwz4nX7Vw/L30UpTtuNNj070dDfvLSYYomesHgZgssSC3Tvphfuj4Dl4bLxuuPb3RssB0Tyb2EUfwgfLlCYcvncrA0RPXzWMr7zxSCwfLGLJQAFnv/c5ABgTMK0tQuLnA5ey8O3xeVoY9Um9F+UtIi+evmoYi/guQyykW7kLcO2Sfhx78BL5nRsemcCdGptwq+Zeut0S+e2tJkDPQUsHsGywAEA993YOBFctKOFF/LmverCzUNoGQPMVuTRpXTcLEG2aqOOOTVM47/YtAIDXHrkSqxayhXHzJHvuOKFSQP+sJxggum/rtPbzjHTjbhivGezvocsH8DdH7QNAvb8koXK8CJBoa8tsu3+b+vtkPcRMY+ejVHfWxEK+amFZsn3j2jMJcHHGu5+NVz91BQYKHv7tdUfgXUfvBwB4UIsyFAzRwcv64TkElKZZoz1hj2gbuZGZVqpv2yYWejH3ivdIKZX3/+kTDkNf4Mrv3PKYmrfu3mwGVdgAa2+0ZhhLRujpq4YBwABym7ie6NAVg3L+/vLFD+B7Vzw0q0CR+bAnLCC6++67ceONN876+CRJcPfdd+Ouu+5CHGf7cPe0JQmVi8Zhy9mOSAc4YoHYb3EfDl85iOtOeylu+PRxeNHBS7CaLyICNFFKJZhay/PZjNf2/ETSDGO+IFOU0ewZNScmy8NXDGLpINtBijYRE8mSgQL+42+egjc9c1/5ves1PZG+g7OjtebTNk3Ujfepm1joDl7WjwUcCIr3N8KZomWDRRx70BIEroOHRqv4xqXrcP6dW1NuQQGA9l/MduiT9fa86Kkm+WQoAJ69kF123whe9J9X4g3fvxa3bJiE5xC85mkrpFtM7KpnGiHE7T97P5bP5pGx6qz0NPNtD2nArRHGGK00jc+PWDmI333w+fjl+54n+/sO3k5TjRAt/m5ffPDsANH26SYWYRoAaxtxvT1p4v6X9BewqJ/1ZfHut800UW/H8ByCA5f24/tvfwbu+tdX4O+etwZrOXjQhdPj/HtLBwpYMiA2Cnt+Hhvlc1CAEAOoy7m4k4nUES87bBkAJX2otWM0Q/ZOn73fAlz+iRfjso8fK49ptNlaZJ//oSfABkCM14GCJ9ccwe5HcSI3tKsWlCX4/8u6Hfj6Jevwph9et1emIXjCAaIzzzwTRx11FF70ohfh1a9+9ay+c/fdd+Pggw/GK1/5SpxwwglYu3Ytbr/99t18p71tot5GGFMQAhwsGSKFsMUgEQuG4xC4DgGg6OkNvFPW2rFcBMVEs2MeGCKRS+gj7h9wV+FkPG36yq7HS0C0clAupMJ1JMDEcMnHssEivv7mp+GfXnEwAMVCUUoNFmpWaQtq48AFHwO23Nb72J20TRN1vOwbV+Ht3/tTSkRJKZUL3UHL+jFY9AEwIAAoQLh0sIihso/jn8LcZt+5/CF85Fe34/Pn32ucb6ImXBb9/PwKnOxJE5PhfotY37TTJHz78oegY5p/PO4grBgqSVeKcPmKex8oeNh/cR8C10EzTDIzeo8+cB3uXr9plz+Lbrde+itMn/4yYMP1PY+1o25EXxYM1yHLBvDMNQuwsC/AYg4eBAgQ73Gw6OGIfYYAwNAQZtnwlqtwa/GD+KH/LQA0pefZEyauuWSggAVl9kyCURFh86sXleG7bLkhhM1hB3AA/9h4Tc5dos8Ml4PUBmlP2milhWWYwF8KH8U1hY9gYqxzLqwdlRbGqm0QAhy9dhEA9fyibcqBi3LgYflQEQcuHcCCMhvzj4yx9rGfcTbRdc0rvoZHvvxc/Pbya+f+gHOwcGIjMJnWpwnQtv+SPgyL987H7gTflBHC+sWrnrIcb3nWKskghjGVkbR7kz3hANG6devw05/+FP/yL/8yq+OTJMHf/u3f4lnPeha2bNmCzZs345hjjsGb3vQmRNGep5d1E/qhxf0FOTlOGQwRW9z3HU5nat2Hg6QtHDQJqjLwHOzDjx+fB6q51ooBUHzc/y08kuCr9Bsd2QqdTj9sxSCWDZgToJgch0q+/I587inx3CFeHl2NPwefwpFkPcZrbSlO7mhXfxW45Qzgxy9B3N49k+2Fd2/DP+HnuKD+d9hyzkfl59P1EG/64fUYmWmh6Ds4dPmg1E8JbYliiBhA/JfXHo4XH7IEi/vZ77++eaPBvoxV23ipcxs+tePTOKTEGLL5cJuJyfDpg1UcSDYbgGjbdAN3b5mG6xD89VMvwU2fOQ7/cNxBAICFfQXjnsV5FvQF8FwH+y1mbOjDFtig952Ppee8CtvPehcutPR0u8pufmwChb9+BUOjNwNnHt/z+G3TTbiI8ZHCBXive7Hsy+J/0X8ByPcpXGbCzbSov4CDl7IN0papRiqaVLfDx/4EADjevRlrydZ5ESHrgEj0ZaGjUuL4cup7K4aKIIQtjoLNFt/rL3hYxhmizGdKEvZvN9nITBOvc6/DcjKJIVKH99jVHY8V7q39FvXJuVf0ZTFOxbsWtpIfJwDz+NQMPuWdg1f1rQMAbJ/pERAzci+Kf/kPHNB6ABuuOGO3AeFfX3MvKt9+PtrffwHbSGomvBOHrxjEgj42R4v1a7LG/l9QDuA6BIQQfPVNR+Kef3slzng3y2ata+z2FnvCAaIvf/nLeMYznjHr46+99lo88MAD+Od//me5M/nnf/5nPPLII7jqqqt2013OztpxgoOW9uPAJf0SYU81QlBKUW9HcoFcrokRhYkJRgcGAGNT1M4zY1GsbAd+/Q7gwT/t8ucBgEorxEqYA2d6Ojtr9saJOmrtGIHn4IDFfRjmg0ospFmAaCVP4y+EipPTU/h2cDoOcTbjlMIFABRI7GT03t/Ln/9wyRWzfjbcdS5w+ReAuDeQvmPjFN7rXgwAWLv+Z/Lz0696WGqe3viMfdFX8DDIn2+GL3xicVjEgcLi/gLOes9zcMvnXoZDlw8gocANWoK3SrWCM4Kv4+DqTfiQez6AtJ5nT9hUPcTBZBM+te6tuDD4LEhNCcGFRuKgpf1YtbAsd/8AsJD3fbGICB2MeO+HcHfy+86+xYhICq/4MgDg5e6tuPj63cP4XnLbQ3iK85j6oNKZKRBj9s3u1fg4+SX+xf85aiMsElSCHe4eBSDZlOlGiCShCgiWfQyVfQmIu7FEaxv3qJ/J1t3nMttyK/C9ZwNXfin1p26ASPxt6UAh9T3PdWQfF8BAzHkDRQ/LeB8ZtRmisAl871nAD1+YWqR3le2otHAQ2SJ/7xu5qeOxwl12yLIBGW0104wQxolkfQUjJEwcN877/CEjF+BD3vn4QfyvWI7x3gExG2+QPz7PuR+3bnh82cGzjFKKWy8+EwtJBUFUAe4/T/7tni3T+OHVrG8fsc+Q7MtTdRZhKOawhVp/F3bUKuYG3zhRl3Pe3mJPOEA0V7v99ttRKBRwxBFHyM8OPvhgDA4OdnSbtVotzMzMGP92hz1j9QJc+vEX4Vfvfx4G+UTSjhK0okQuDoHrZNaEEjsMAYhmNPCwiO9GGmGcZkt+dzJw//nAOW/bLc9Ua8VYQcxJqrbl/sxjb9/EgMHhKwbhuY5yHfFBIjQ1Q9pkIp5763QTlFK0tir30bMIKwa5uVu6gVYFpKZ2JpvXzzLEdXoz8Pv3AX/9OnDH//Q+fHwbXKIxYxWWI+ZyHi32/mMPwL+9jvVJmyFSbgNzEgWA5x3AKHldSD4wvU7+/FT6gHGuPWVJQjFVb+OVzs1waYgCCbF/TYUriyzqR6wcSn1X7C4bYYxGO5aLaV+BCVBPfuH+IASIEorTtBDouKr6WWFyHXpacwb4wQuA7zwDmHxsVs/VHLNcBVs7Ay/B7L3QU/29bytzZwimYJHGFIj3DgC1doTxWhslNPEicjsQhzh4GWOJHuqkI4raWEJVX15Ltu0+UfUfPgiMrWPsqhXJpmuIZBoJ3v8EmBHgzjYBlARwmpGAyE8FG0jbejswsR4YvRe481eP98kybboR4iBHAaJytbN7RwiqD10xgKHqerzNvRwECabqoWK8iuYcLoCxcJMeXL1Z/u1ZzrpU5GjKtt0hf9zP2d5T4yTtsWuAM14FXP/9nodun2niYLJZ/h5vZWNvuh7irT+6AXFC0Re4ePVTV6CPv/eEAs1QrV9ZgGhBX4CVfJP/wLa9Szw+74Do+uuvxzXXXNPx3x133PG4zj8xMYFFixalPl+0aBEmJrJR9Ze//GUMDQ3Jf6tWrXpc9zAbKwdqwNTbsdGhBLOl2+I+01dfaUUooI2/i/+Ivql1KHjs1aZYos184NEYaEzt4qdgGqJlxGSEWiPZGXdvWM/a/1lrFgDb78ab7zoZr3Ru6soQCZDQjhI0wwTx6APybwvpFEpoYkc3EeaYuXD6k+tnF6r88GXq5wcu6Hm4N2Vll95xP1pRLHMEvecF+0lNha0hEv+Lz3UT0Yh6rqGBmlq0lyZMbF5p7aad1/a7M7U0M00mhF7rqLQHa9vq3Qidl4jC0a2/4CHgbTFRVy7PPj4mnrZqGOd9+AUA2OKzZaoBRC0Um4qB8iubOya8k7buT8DIPWwxve+87sdyi6asNA5dgJRwgT/FUe9jYIb1fcEE6AxRwXPgcU1gtRVhstbGad6v8I8jnwX+9x8lIOoUqkynN8GB6rv7kB1d3WuPyxraXDltarYE6Fk8UEB/gfXZtPs3u+Dw0kETEFX5/fcXPFmkOCWq3nKr+nn8YewOqzQjLCPqmQdbnV2ygiF66oIY7o+OxZf8n+J1znWYrLdlO9ibWuEmFv1idfSY/NthzgaMVFpdAyOopulZgilsmZyFdhIArvoKsPE64M+fAdrddUoPjVSxL1HBK+1xds3LHxhBpRWhv+DhZyc9Fwv7ApR9FT1Xa0dq/SqnARHAAoUAJQt5cHsF//zHe/DTWWTl350279XuP//5z6Ne7/wyDzroIJx55pk7fX7f99FsptF2o9FAEGS/rE9/+tP4+Mc/Ln+fmZnZ7aDIJUDRJ2iGrMhpN4QNQEYmieMa7RhvcK/Fu2pnAD84A6v7/gcPTROMVVsyrBlxBMTahDn+MLDvrq1OXM0ARNG0OZlM10P88qaN+N1tbPfxkkOXAld/FEsnb8d/B7fj3bWXADBZL2H9BQ+uQ2RotjNhJr/bh4zJHWumjZvJLIeiMdTace/K7BPa97Z1T9RWaYYot8cB/dVVR/HYWB1xQjFQ8LBcWyB0lxmlVLmMMhgiEUmmiy4XNNTutZ9WUEA7zRQkMfDHDwHFQeBVXwMyQHZPiyPg7NcCjUngpMuAVc+WfxKC6gMd5VJaEo8iTihch0g3pq6hEUYIwYI+X4Y3V1sM2JS1d3LkvsM4bMUg7t82gwe3z2CfJVUQDQysIGMYmWliDRd0Z9ojV6mf9UW1g1FK4VS3mdvGqc4CbsZkUOxDVcbocoO1hxinOkNECEF/0WNMQjNCtdHEKd6l7I93/A+OfM0nAJhsoG7tsUeh8y7DpLZ7mMGwCdS07No7HgSGVwNgfb3GI6X2feBMfOKub+AW8jFUW+zvwnVia2iELeGfizFbaUZ4kXMnnnLVT4Bn/CuADIZIB0GTu2cBrTRDLIByVS4MtzNmzBo3jXYsNURHhncBMXvPr3FvxFQ91FyA5lgW0XgT1TZAKZZQ1b5ryTbECcV4tWW4lnWLJzbIxTsgMabHRwA8pftDJQmwXZu7HrsWOPgVHQ/fNFnH04im85lm88zdPJL3xGevwjPXMPeX4xCUAxf1dox6K1Yaog7rl9BaCenDo2M1/PyGDXjG6mGc9ML9uz/HbrR5B0SXXHLJbj3/mjVrMDk5iXq9jnKZAYNWq4Xx8XGsXr068zuFQgGFQvYA3i3WqgK/+H+4yN2MV4VfRL0dSz1BJ0AkdpqT9TaShKLWjvBs50H592cVN+Oh6VVmjpqZzYwZEqa5jnaVMUA0ZXxGamqBiBOKt/3kBulCOXzFII7efyHwa6XlWVRbhyg+VoYg62CFEIKhko+JWhvTjRBEn6gB7EvG0poD3Wa2GL8OkxrGq61ZACJt4q1uZ9qFvjTzCDBB4RKrDVAdxfYiF5guLBus30BB6S6aYSLLIAwW0/e0v7aziuKEuRpDM2njEjKVZgq23wXcdQ77ee1xwCG9BcIpG3uQgSEAuOvXFiBi/Wy5BoaXkUnU2xEGir507e6TESAAsAVjZKaFSjNCXQprXeOYfReUcP+2GQauCuZ73IeMY6za6g6IRjXX7Y4HOx/HrRkmGI4nTEA03dl1MjLTxDCq8KHafqA9ylJi8Pax3aD9BU+6VvyK+UzHDLL3es/Wady6YRLPWD1s9JvG+BYTEKFiJETcZTa1EdDAJ6pqPAtWbLDooXD551AA8JPgv/Cl5jEAslle3YYs/VzYquPs4KvAJuCQof0BHJcWDFe1/j5L1+dcjFKKdrOOUqDmzoC2gfpEaszf+Og4wphi5VARiyvK7XUQ2YxH2xGqLcV46Saj8eohktoESlDXWunNACETpGcCoiSBY/UVUu2sbZNW2QY0tbQko/d2BURjlbYhf/ArjC0V4fZrFptjrRx4qLdj1LTnzprDAF3ywfpPIxRu8vmFJPPuMtsddsMNN2DjRjZxvfSlL4XjOLjgAuXmuOiiixBFEY477rj5ukXT7j4X2HQDDsBmPJ2s55Rjd4QtRNgJZZNOvRXjCPKY/PtBHps0jFwwU9ZkvhsAUa0VYZDvrOoOGzCeBoiueGAU926dQcl38fGXH4yfn/QctgsPFeOxsvmQkZG76JsLo5hEpxshvKYJiJaTie6RNlwUu52ync0QqpK27mp220091vHQ6UaIxcTMh0SrozLqb5H1Tks8WVujHcsFxHWAfi8dRbO4vwCHsPcu7rs/MhmEZZhMMwV6igFNfzAn26aVnLDaY5LnnhrUdtXLyQQa7RhJQmUC0pXD2TteMRHWWhGq3GWmu5EBBaY2TzXY4qTZMCrYUenyHikFxjTXbXW087HcZprqPT6YsBxYdHpzx+O3zzSx1ALCw+EommEi0w3YC2O/BoZLNZN9WlhZh2MPXgJKgf/3g+vwzjNuQitS46I9w55hCswNyRiiObjMZpvVum4Jl7W2E+Lfpwwqln8YlZQericgaoSIE4qVoepXA5NMMD5ea5u5tzRAZveDjpbEDBAnvXPQNcMEAwnbsCXEwwzlDHtdcx9FCf7rkgfxyd8yxuWlhy0F2aFcxPuQMdSaLVQ1kbhuQh9Xa0VojJs6NbGh7Fj6prYDThIipgQPJSy/T9DoXOdRmt5ugDkeMmy80sCwNp69uA6ETVmjcJXF9opnqrcjTQfYCRCxeUAwRK3aDA4km7HUmjf3tD3hANF9992Ha665Bo8++iiiKJJaI93tdvzxx+OMM84AAKxcuRIf+chH8OEPfxhnnXUWfv7zn+ODH/wgPvjBD2K//fabp6ewTOuYT3ceRqMdazqS7A4VeI5kFibqbdTaps/7AJdNWkY9MHtimy0gisP0RNKuZ06o1VaEAcKuOVZgDFyhoSbQv/BQy7991r74yHEHMRfCuDkwF4dbZcIyh0DqoYQNapNosc2euemyRWEBqj0AEdvlPJgwF+gwqRrlUjqamHgJB2c2QNJsuhFiCdjAblF2r+HMiBZWbQIiAfgaYSJ3yv8dfBvk6wcDW+8wjnUdIt0PYuc8GE8Zxywm0+noDW2yxsxOljfRv2cDonqIItoINHZkKSZRa4WY5osdoCLnDKuNYShgC161FaHOXWb2ZLqvnmqiYS6EQ6TWPaNxbQfQ1rQ4jQnTfZxhM40Q/eCUPl0BAKDVzmNmZKYp3cVhwMTjQ8mk1MUAkGVahPVrQHCgboGt6c34jzc8Bc/Zn2Xr/utDY/jdrYoZiCtsXG1yGFgbJtXZu8x+dzLwjcOBzbf0PrY5Zf6uASLB/B1WVgtZQGJEDQYo7IhB29RYjtAIY6wm6tze1KNSW2bkoNLBbGtmViAHv3k3cPrzmIamh1WaIRYS1leS4gKMURblqLsNv3P5Q/juFQ9jR6WFRX0B/v5Fa1ngBTefxMDUVsnYdQLC9XaExiTbpAngtZBOAKCpIrnS+Lw9gQHUHF4OpD0LcbK9CbD0lLbNTE+agSEA0JyS78JOpSA2MLVWLN3enZh3MYcJZnl49GZcVvgUPjr62d7PsRvtCQeIzj77bJx22mm49dZb8ZSnPAWnnXYaTjvtNIyMKPR79NFHG+6wr3/96/jCF76Ac889F7/85S/xuc99Dt/5znfm4/azTaN99yfbUGtFMsGhHZ2gm9CYTNVDtJpNLCQKza/k4MgonWHvprpM7tKmtwD/dQhw9uvUAjJyL/CNQ4Fz35k6vNaK5CIyU2Kgww+n5N+FHkIkMANg6nMADCeTqHNAVA68lKhcZ4jKbXa+qTLzOw+TSvfQY84QPUA5IEJtVjl72jXWdpNDh7EPegCiIf4u1oPt4OLKqCasNUGBWCRbYYxKM8KBZDNehhvZQnT5v6fOv0TmZ2HPOUynAABJgS3C/WjKaB1p+u6wspM5exoaEzW10QDEU/W2obkA2MLYrE7Ioq8DRQ+BBW4x9hDwjcPxn6MfwCBqqGp9Xy9zACggOVUP5b1sSlhG5yHUuudiEc9cXqxAba37rnq6EaKPsDbeTJar73RgVrZPN7EEUwCA5jDLseQiQb06JZ/Hccy+3K9FGPa3rB38zBasWljGuR84GqcefygA4IK7FCil/P63+6IvdwBElALrr1TvrzoK3P0btjm45HNd2wAANm+zALSWTkGUYDhiwIxyGmpvQztKJNM72BEQseefboRotE1AROpjeNo+bKNz1rWPMlBNaYrpSOpT3R+gsp1F1gLAHb9U7y9qschDy2aaEYb5+KXlhZgAA0SUA5EoTnDOzWz8f+DYA3DZx1/EwMGMCWhJZYvGEJnPL8BDtRWhxaMlHyUM2Po0xBBqqWLd0nj7j9MhJAFj4R2NYe9oot3KfO6d6T4PtKpszmshwDhlwCusjkv2Z7G1sRPjtd6OUG2GWIkxvOrODwN/+nTq3HYiR8pBd8sbSB27J+0JB4i++tWvZkaj7b+/EmJdfPHFeO973yt/dxwHf//3f4+LLroIF198MU455RS4rpt1+vkxDRAtJtOoa6HH/UFnQKTvLp26if6HCBsgRubmhulaGR2dxcJ44w8Ys7ThGuBBllcHF5/KfNH3n5/aZVdbMfo5Q1QvrwQAFEJOPydUZmYVuWUASJBCfTa4F9MpyXCUgvR7EvTzTDNEmbMjlQH2/hegih2VVufIMb6IPEwZUBki1VSV9pQlMYKI3ffV00vZZ11YlulGiAEOCsdcdnzSmFYuM2siKUmGiIWdP8PRGLOtt6cWYD1UOYpiLARv3wWsDfpJQzKM0vTd4c4yRDqgDmtGlMpkvS0XEfQtRYOrW8LqpIyEzNTD3XoWELewLNyC492b2GagHQGg2K9+N9PXcTPSMvC+vIGy9h0itVRmbMNEHxtciUbA3KX6wp5lM03FEI0HrC87cRNoZe/GR2ZaGObjjg6sRIuyftqcYQtelvugT3OZFaMpAEC9jwdwaHq34w5jz3nnpilZwsRpsPOOFdnmr5800WhkLKJXfQX4+RuAP3Pw89g16m9bb2ei6S42OW5tnPgY+u7lD+Gcm5mb77B+MzBmuD0i3wchSidnm64haoYxVmpRTaAJXrEf+/vZ12/AT695BAgbQGwC37FxC0ja9uhf1c8zmxWo/ekrgO8+M8Wc1FqRHL9OcQgTAgxUWDs8NFrFWLWN/oKHf3rlIUzW0K7LPjlaWMNuvz6ubeyymcF6O0ZYZd+bdhcCgXB/VmXpi5Tx9h+ngyAFNo/6UdUoeJ39Pf6cy49k/1e3d01uSfl4rzv9mKLsvmpT6v0YIO++8/CyiFUlqLVi1FoxPuL9Hit2XAvccDqgRQMDai4Q4munxRjG0B/EfNoTDhD9nzTNdbWETHNRWm+GSAdEXt2ctAbBJuY7Nk3hp9c8ygACH7AzlLkeZjokTDRMnzxHeM6fSJuQLD90VWOI2n1sESlFbMHePtNEM0zgu8T0P4vFig/UJWRKsim2iwGADPFstUOUEjYRNwfYJLSAVNEMk47iUsrdho8lbMc/SBpoNLtnea3PKFfj/W1Wq6gbuzDdCDFA2H1Nebwobasi8yoZwtqohYEGW1RE3qgDiCaQbEykhKN6huNGo4oSYW1FFrA26EMjzRTok34PZqSjWW4q/feJWqgAUWkBaoRNoGFtUjJwC7JCcDeqEP6nkUeYy6wd46XO7Xjlje8CfvkWCQh1ZhB11nc3UvY+hlDrnuSN97Ft8RAea7C+R3sk9ZtpRBLct4tLUKVc/5Thak4SitFKE4McEDnlYcyAAfw2X/Cy3AeSHYwSlDkgaiw6nN+AAq4HLO5DwXNQa8eydp/X5OM5WKHuI8wARFdzN9Edv2D/62HzUbOn60Qsglspc92hNYPRmSa+cwUb+4evGMRBfSYgKoTTEhANFLwUMyZMTznRDGMJKIX93ZEllpYDwM+u38BcZAAi6mAbv59tIz0ExaP3mb9XtjK2ZNsdDCTc/FPjz/V2jBLYnOAU+jDOXWbhDHvvIsrqKfsMytQZkoH0+zBdZJstpzEpNV9F31xqy5qGiPK+3HAHgCJjeQdR7xxKz/vfGIbgl9m99aEp14xOFlXZe7xgZJh9kETpMa2Zy0FKyx/ENO/LjRl2joGiJ8tIYfOtwLnvxN+Pfw0rMcYSlLYic2P38KXGuUU4frUVoRXF8FpTAIAwGO76DLvbckA036YBFYAzRK24pyhN/1u1FcFvmh27FM3g8BVssHzhgvuYq4pfZytdDAAIGz0KCEYtYLvKhIsxHpmjU9biM27MZcZ2NtEg2+kWaBOI2nIiX7WgDM/Vuh4/H1n5NADAUjIlWQV7ZwUo1ihqqvuPBtgueZHDPhvNykUUhyCcmt3C2wAA2s3uOTw2b2WTXY0WpBi7m/5qWtOeTPlsZ++EVZlfx1gYLz4V+/3PC/BW93I02jEaYYwDiMXgWC5F4X6oNCO0uDsmpgTOIFsYB0gjDQ50QNQj/0hHs12u2u9T9bYE4SgOoeayXXVSm+gcMSmErtwOdTayCTJM8BqXZ+LdcI0Ms9a1YzG/9gYOiIokRLPe5bmEq7TWhxoYINo+1h0Y6gyRUxyQTEEWoBR1CYd4G7ilYakJaXPXQ9ZYFvq4ZhijP2aLfbzoEPZHTfPnuQ4OWmYWQ/U489oqLQYl7DxO1DDz19gMQNRibnDdekTcCXfxZsrBfXMGd26eRhhTLO4v4MKPvBCeJeotxTNyDrPdRbqplBMswnIBTPat1BrHT9/Nohk3TzZQq7B7qaKEKcoW6ZmJHgDffr6Zrea8ZuUyaoYxSoTNH8Qvo+6wdo+5a06E2RtJRsVY6FskF3W3OSkLuxY6acfaKh9c0x0Aiuy7Q6TWkyGaoANwi6xPMla4OyDatoP1p/unfIQFDm67uM+9NgefwZBkiFoVdm1jU/eQihR/mrOesV7NKg7U5zGxmeamA6qpeiivJdz+82U5IJpva9cYUue2BFNotDUNURdAZLjMeIdq+cPsj80pfO9tR0k/76X3j8hBK8CAG/VYGMfXA4m2sE48wn342uJq6ZCqLbWrxtA+SCiR9zPaKUkbX6zIUrYzHkQdE1U2GWS5zMSuOmkI4bIHDDDGZ5HLnilTR8QBYUIJJl2lYQpb3QHR1AR73mn0YRx8wPZgiEQbzAQMEHntihQa9ulu0FtZjq0v+z9FK0pQa8VYLsXxvO2sXCs6UxLWpgAAVZQlfd6HpskQRS1TdNmuzj7CSLcUQ6SA/GS9rUKHgzLb7YItInpZGcOmNgKhavtlZBK1VoRWnOAAok3UPOXBkLZ4xk32PNvpAlDeTnG3RKM8LHlzNIg65S7H8e4RSjXN/UsKA3KXnBIZQ4WfL/HZ/27fAnl8syJcZum+XNQYokEe2YRFTH+E+oQhGN532CzX44f8nRaGAJ/9rUSsWn52ZNH05lTqCXtTY5vLXYRbKR8zrYos2nr02kVM42dpccpxRd5H1qZGmBjL9TYTVQ9ZDBHqExgq+RJMj4yysVihZcnARbUekWYiaIO75DGzlSXnFGZFDjbC2OjLLY+BgYSHrItkgqtFfjdAgdfyIkSFYXa59qRMFmoHhog2iRMKysdR0x/UGKIaRipNhFluMH4fM+gDKbB760OzZzLW6akpdqsoYNrj77KS7W4M4wSFhL1jUhzCDNizivnGEMlPqSi5I5zH0I4S9LV2wNEF2SMaAAXLWyTmg8l6G4GQVXBAOF+WA6L5NkvXE5AYtF2Ti+eAFwNRtsZFD9n1ucal0bevPO8Bi/vwT69gu837t1Wk9mGEsxx+3CPdu50Ftj7BKOtI+57FlNS0XXVQHkaF78bRmFJ1jew0/mKhXXgAAMAhFJWZKQDZLjMZhs/p8xqK8Et8p8TZqUyBLZ+0ptCHvlIRkcOAWdTqDgybVTYBVWhZ0ufdGKIZTUNUKzAGw4uqqHPWRtDl6ZBhVs9KRLhgX57nZ8IERIOahiqss3urkxJQULtFI/xazz3Cr7NTLJHQ83DgpQOkqXood9Xw+9DigAjNKY0psMC9cAm5rD8sxSTqzRCtMDaTe/LcP8K9EicUcYO1Uej1I/ZYH4uavRmihxsDqIG990ate0medpTI/kSKQ5ihAhClvydysyzlgMgrL8A0P77FWY2szY3OEA1xdsRZciD/KzWyya+0ktkFMX8fxSHAZ38roSV1KwBSWaXRnFKswL7PYf93STYJAISPdzFvoDUjWaq1S3ibtNm9xH1sY9KXVGSkaNamRpj4WzNMUG9HiiESwl9+3v0WsQV5bIyNuwrKaHBg2250ee+UKsCzij9vZbs5JixApLvM4JfQ4hGslL/3zJxaIiS/vAhJibEvQXsKTekyM9vASCnBAXbbGwRKwwCARW4dlCI70ozPezO0BKfIN0GkIdmoTkb5pqiKEsYJf5cd8hfVWpEEhV6xT24iQj7uTECkAkyWYgqtKMGQlRstKwhFT7UhAJEAhPNlOSCabxO7zb4lSKAW+morxCCqeO7/vpSFi2bkTVEusxgFPjm2+jkgittA2JCT6PbphpxcdmAYABAkPdK9C0AkFub6REbovnlfzVaThZwCcEsDclFAc0qyNqlCj2JyGliOiLdBvcIWxG4uM8qBTJWWEPSxgVTiQCQbEPFIMTqAwZKHyGULY9yDIWpx12IDgQrBrY91DPedqbdk6oF6iS0QBBSUgxDJEFnaoCWYxkS1hUVcJI0VzIVoFxTVXUcRB0Q10gfw3WI/2OQoc7eIBTwYALhrRQKiqNUz/FyaAMKDTBumg/mJWhtlfRHh4kiiAaKUy0gszCufzm6PxPDbE2iHMRYhvWAVfUeGYcccnCV+GZQDorgbsNU0RHUOiFq17qHK7ShCH+9PfnkAFb5LRiudK2UTZw0WutzFVh5GnbDjRQi6vSjqnzXasXQ5egNL1cKgjTeRu2XzVAOI2vAT1t5uaRBEMERom4DILkbbnFHjbTnPbNwltxIAOHzjNEqH2QdRE+MzrO1EsWWx2UqGmJt8gFZkBuusTY0wfXxPN0KlIeKZsAUIFwWu6zNsDFdQQoOngu/K8DYmFQu5jNezbM2YgKiyzRjLDc1lBr+Mtoh84t/JzLquMUQxZ4hK0QxaHKQUPbMNXIeoduHPGAf98r3vW2JjcktWXUaNIXJLbJwNoNGzdI2IRKvTIrYlw+rZM6zSjOR4dgt9cswk/F4HCjogUoB6IZlBK4qxMGHtES49Ut2zFiABmOtXMWb9h5QWdH2G3W05IJpvEzvA0gK0PB5C2a6i3orxZvcvCOojjN695YzUV4XgutaKUOAMUVReqg5o1+Qkum26KQGRmNiKtNk9MkFQoSufwf4Pa1LMKs1ymUUtNYCDQglVuYhUZH6gJTogShK1YBeHUOOLSIuzMlmLiJhIHLnjKaPQxyaGYtIAQLNzEfGdVQUlDBZ9JBwQJe3ugKjNmYcWAkyCT440SbF78jJ1tdCGpSWIKNd3cLemdJ2ksmzvQK06LUXScgK33B4q2ipCxN2GDacsmRuZ9kCwRGIBLw7JKBa0qyzb9jcOB354zOwS3IU2IJoCAJ6JmeUhAgAEZUS+uE5Nhh6nAJFgiIZXo1lgjEC5NQY/qiIg2uTOw4MJIRIMEwHogn7pLkpmAYhG6ALUuDg65G43bLszMwVFHLZkHpagWEaFByNkMUQimnOIi+lRGETLEYCb3VfBS/dlwRBVG00UCXtffmlQMSQaIBKu5rFKS/ZlAHBLususJd3tAIzj5O8iSo67qFMskmVuzDYyY1Tt3ts11qekloQvdoQDmQWoyuzcfT5h0WyRNSZv/BFKV/07SpyFm6g0MCjajwMrMWcNlRj4ifkGYIaWZSRj1w2NeLa+pUAf1w22Kqbb06rr2GhHGrgvIwrYmHdaM2hHiSxTo5ff0QGRGGN+0lQuMz+91IrPnIjdP/XKEhCtLLA20WsWSuP9r0LLCErsWiW00oCIUuDPnwWuP53dD79ODQVsbPONXQeX2UwzRImnnGCAiM/ZHFwaG1Wtjy4mTDu2FGxupIsPVoyyFd3arwnL2bzNtHrzaTkgmm8TA7M4hNBlgIi0K2iGMZ7uaC6r9Vemvio6VLUVoZjwcN+imhwR1rCc7+AqzUiiewGI+tCUkU+ZJjrwssMVs2Dl2tCztwJA2FaAqFgso8p3FmhXVT0nPQ9PuwJZFqAwiDphbSD0Qam8NVAMkROy56miiIDvlBwkKKItM+gaxheCCi1joOiBeuzeaNaESimrfdWclqLrNgqI4KHmdHebCVqZEgd+UEKVuw0dPrlLutxi1xaRGRnaG5FAuhBtQCTyT800QknjN0iffO99LnunQrsjd8PFIYDnLUGrAtzzW/b+dtwP3P7z9IOsvxK49WzWFnEk6zShj4Nu/jz1dox2nKDMJ1D4ZSSctXGjGg+jz3CZid3pwAopRA3aM+iLLHCmLV4iWscVi4jfBwTsuWm7np1ugVLZ1jvosNztxs0Ke77/Phb41VvSX9Nc1cViWWOI0oDovm3sszJf3FEYROhwAMUBd+aiyPt3WwPRhfIAwN0uultygZ67pSncuCWUi4F0mRVthsgGb83pNCCa2dqR7aSUwueAqI6iBIVxQwAiLpTnbeIMMbBcJk053t85/UPgRy8Gfv8+deLt9wAXfxLkum/jlOBCAEC1orE2AnS3TBdNzJ+nihKalIOkbkBYCMiH9pEuZcYQWe2ibW4a7QRFDRAlAhC1KxLkOcRyGwlAVRwGKbAxFiQNNDlLm7WxE2ynyxk4Eii398oyex+3b8zYdGkbu0KRvY+AREZ2fwAM6F//PeDPnwYe/Qv8mAMiWtIA0SwYomI/6nwT4fC+XBSAKGobVQYWYgYzjQgLeMSp078YGGRRd/baoQcFFSgHRIV08ec9aTkgmm8T7ETQj5AzRG5YRStKsFYXlm67U0WM7FgHnPN2PHWEVexuhjGKMeuUpDgoJ0eEDfQXvBQ1KxkiEqLe6BJyLieTfQFBZdr0upaTJYoT0JAn2nIDFANPDiS0qpnFWuVi7RUBv4imKxZszhC5NMVeiOdxuai0Skvwy2pn0YcmHh3LiKBrqcm0HLigHEDQrFDlG34A/Oz1wMWnIeKAiQSsXacdIazOBkSCUaJeCaWCL3eyXsIWFsmUWN8fRA3gAtGmPyyF4jYgElqUSjNEwt0xLa8f8NgCUXYYABF5jxQDN2gyRJtuVCe1AXdtHPjVW4H//Qhw4w8N3VhcFjtt1sYiQ3S/wwGYX0Is+3JdCrz77JxaAnAPrkQSiHwqM+jn4efStN27ePceX0RivwyHg7yANrN1FK2KDFyYRD9qXA/hhDXgph+xY7bcmtLqxVp+nlK5LIWlurtluhHini3TuHcLd4vxiR1BnwRElO+qAzc93YqFUgCikLrwgiJ7V+LeuS3oEyLUUAEilFibSJdZyxRV2+CtPqFcSIsPYkkqk7BjKZNGGKPAmb8GClJ/JdyACwRDxMGxw/tsH1ihXhcxXjz9B3bMfecp94pIlAjgaIeFxdeqPMoOjmLI+PMLJkps6uq0iFhsaLLGrzAxXw3tq5iKViWtq9OAZyOMURYus6CMmPdNL5yR6UAWlAMzlYB4T8VBuagHSV26rYsZGzsBkD0OOInfJzcsK8vse+feshmv+vZfcfHdai2gGkNUKLL3XkCY7vtaBGe89U7JxNVRxLaIzwMdmOFqU2mI3EKffO+EB+LINcUKMFhIKphphhgE62NuaViBW4sh0jVExRwQ5QZAoWtfuRlIq4IoSczw66ih6N/fnww8cAGec/+XUUKT5TChAhANqWgKPvGxnTkF4dfaIbQAABq1LrVjBKIf3EcDRBwkiWy/2oRda8coCHePV0DJdzWGqCazJw9mASJOFTcd1QYOEpzy8PuBr+0PrFOhnWIwCmanjiIC35PP3UeaeHRHLc0WiN0lLbHF2ef3FmVMqH/m2VXv/KWk5L0CW+AmSWdAlCQUkQC5XhEl30WD72SFS0nSzZbLbJDUQXl7hn4/0L9UtZG2OJe12mcieqztlhmoBFAirJ1lYV+xKBYGpc4I7Zoppt12hxl5dt8fVbs8fJlx/cs3cODTrmLdSAVnXfcYAGBJge9Q/T4kfIF2o4bKPN1JQzSwAjFfrApRVeoJpBkMkQsPETzKgbdfhlNg1yqjlV3Li38/Jj6aCBB57Hg/bijmE0ilN0jCFv+eh/6ij4qoacX70chME6/45tV4zXevQTtOsO+CEhwBNoIyYi4WJ2EXhsgXmij2zHUUWSZDwWZoTIZKZtcG5QCkSkuMceSboDKxRNX2wq9HmJUWAAMr0p9rVm1Fki0plPplXxabhCHpMuPvjAOiEpqYqIc4mFgbqI08nYIGxg/HehAkaPK5qO2UTeAOtYmibTHmC/D4e3eiLoklxZw5tEpjiLIAkc4QKTAAvwTCv+dHtc5JRsXzFwbkol5I1Lxih90DCiAHfKPkFPrkHLasGOMAXjz1/m0z+Oiv75DslOjPFZRRFAwRMhgirVxPODOKPg6IaihgSkRMdnD7V1oqSMItKPek6N8SEFmRnf2kiWpd5eMipWHGzgGpdA/9gQ6I2LW8Yg6IntwmdjdBGbHQXbQqGERNagrAMxBjbB3TOvAim27SxnOd+xlDJBB2sV8xRHzy6C96KKEFwl1TU+iX4fANrQacYa2qmjQG91GuFuEiE+yFNmFXWxECsMWPuAUUfQc1QbE3Z1R9tpIeYaEt1gDaGku2moxgZYMnjXvoz/IrwmUmktA1EbDJhU9Ew04TtXaM9TuqZlFI4TJDGaXAlUJUp9sOEyzJHAC43DWTVdtIWEUb3MRnTFSLiz+LJETgOiqZm7U7G0AdhC8AkdfHcpLwRVVnicTz18NYLhCxW5KASPSb8VoGQyTAcrtmakcakybA09mjkfskuK7TAv6ykYORVgXv+OmNOPPaxwAAiyQgKkn2zYvrqHWqayRKBwyulIA4iCpSTyBDcLVJt+i7St8BIPH72M4aTD+TKlmifb/hDQIgKPBkdn5cN5/ZiqqkXPMSOwH6C75iiDjA/OWNGzHCU0l4DsHnTjhYRmQh6JfAy+WfFXSGiFLglyfi2OveCw8REp5Tq0E4SNfdO9yEyyxKqIyQq6OAUuAYLjNDQ2S7hgRj4pUA12fMCdBRR9Rox1LT5hbKaPKFUURhDZcCLszni3U/i6rsIy1M1FpYa+fU2nwze3atRl8RbSzGDNo8eKHtFBVw54zQsAWIGgjg8jnJ7RYtK4De4D4mIBLtKsZD3WSISprLzC2yY7ykhYkau1aq6LbcdAzA5Yt6kXINDmKUbvsJS2OiWcA1ZQV+HCkohsgJazjnA8/Dv7zmcASug1aU4NL7RoAklnNEDWUEBdZfAoRoti1ApDEySWVEunOD0iCmRE6tDokZbZeZ0N0JYbaMHBSASrjFAITNqmSIUBwCBnkf6+Qya0aSvfJKOSB6cptgE/wSYp91UtKuYDFhA4wWBoHlT2XH7HiQUfuaHUC2oxUlCPgi7AZ9hssMYJli+3jnTihBAwHahJcVaHWYTMRgKgzyhZQvBjULELVmJLNQa0UoiOKeXhFF35VivKhZkSLfwWJnhkiEwjtxA/vqafy11O/SH8+fr0V9Boj4rvIZy9n5X/aNv+Bp/3YJbhN+eM333ldQu2rhypJmiawXh2xS9fmOdDwRu6sp2DbTCFHkbUD8EoqBiyYHRCW0TJaAT2zivgdJHR6npGO/jzEFfIHRXRqSIaNKUBp7JcBjbS3ewb+cdy9O+91daHJN04YKwa1b+DXbNRWBJFwJegFYvZ9Vtkrg0IQvJ8dqZVoCAgBY4POF2C/JhcaL61qUmbZLThKDIaI8IZsfVqQWiYpJVmOISr4rJ/Y2deH5BakhKqGdzRDxSbvOC2GW+/r5vTVNQGTp4ShnHhInQMl3UwzRFQ+wd/Iff/MU3P4vL8fxB2shw0EfA6lQC7bBEmy+GVh3MRbtuBFHkkdkBGJDpKkQCeo0Brbou/Ld1ypcO0aLTKztC5asaTIFQlAvmCABrAU4kIAoO9LMyNoclGVkVwktFvXnOUYuKcFqltDCdCPUcmpxG7mHh71PMXaOM8/LyITMLRW6pY4MkQCcTaoYIi+Zjdt/H3XOVkUxnjJAQAdECQpEzWMIlDu+MmO5CoVJhmhQJksscaBzsvcnuH8+Ffjpy42vMP0YVcBJA0Ro17F0oIj3vnB/nHQM2xDfvmnK6A9tvx/E0wCRzRDp/bk6IgMESuUSJnmiRTQmM3OSVZqRfO+eFmUmXNVF22XWvxQJX1PCRkWJ44tDqo1thojPB61mHS7YxtXLRdVPchOTid8nd9VOWJOh16RvCbCEFXbE2IPA9ruMr68mI2iGMQpU5IwoqUHF0Xx/0UOfCANHARQOIj6xtRodGCK5s+KdmQ88GVHQzwGRltOm2oqk3gBegZUa4BN8u15BGJslGACkARGP/CrSNlZphR718gJCiOpw33ubcH8+f+6XrVW7jEYY4ysX84VeE1WXfBck6DChWr7uwZgtqEGJA6KoaN67ZtONEEWi6HbbZWYkaBORUnyxGkQdPteCxTwZnHSb6QyRtrDG/BxUY4h8reL8OTdvwvotbNG/aXMDky2inY8CIMCa57PPREbfqJVyH4k8IrqOpKW5W485aDH2E2WIgj7ZtkFclwu04TKrj6ukn/3LmPYNQCGuSGqfCKo9asoFrOg7suBqA6yPKTDQyi5uKlwMXLA/0Mf65EI6aSRFTTF+XFOUuIyFkTm1mtOI4gQPjrD+9MIDF7NszDK3EwG8onQb+hxwG+/+0avlj891HpAMb1MIsTMYIkCxq0JzVBNtwPVjPmLJyLET8u+LCCvxjIKBGRQus2xxbb0dS4BPvZLMR1NCWwUHCHBBXDmO+9DEdL2tANHal7L/R+5RpTQWHgAs2A8AsJxMynxgDBCZbn8h4hVtWUcBXlGM3y4uMwm6V5oMkaiHJjYc2lhutCP4nOmGG8D1i5JRb3JmbtDOvq0BIpETrUxacJDg1S5nW+vjRjRj4DkIEMEjDAy4xb4UEASAQ5ez8z00opitFvXh+iX53jNF1Vr0l6O5RPvKfZgCv07czsxJxqLMONMd9CHkG1WRu05piKblc0ec3U+aVSNrvVxDrBQQZT4fRE0F8oJSX+pe9qTlgGi+LVQMkc7sLCLaRLaEp/LfsU66y7CYfbaGjHA/P5u8/UJ/BkPkS/pThqo6nCFqdmKINKoZUAyRDC9dqOmIeILEVoSA61fgFUAIQYtP8GLxdB1ihmxagEiEwhdJCyuJlvOotkNGwngum5zEM4cOdyvx537BfmV8561H4SPHsYy/t21gGZChRaj0FVw4XEPkJVYxWEtPMcQBUYHTuRNx54zF0w0t/NwvwXeJZIiKpK3cZYCaiPiEMUhqEgwkgsqXDJGaTDxX5eMBj+pLvBLg8kWRmuLgCmcTdrRctMEncrkwDgJLD2M/C4ZofD1LK1AY1Ohu1iZNGsioOUHdv+VZq/Dzk56LQFzXKxqhx62sbL0VDjr7lgBeAIcnpBuEagMiWA1ALjilwJUMWBOBwY4USQdAxJm8CuGJK8usbYdphuBYN+4yow67jkzM2JrBhgkmmC0HLlYt4GNDTwVAiMyPJAS6RsSkxsisJGPymVspl5mppxLC9FC42FBgbeBqC2OWqLpvifm7GM8DQvCarSFqNNuKLfGLcv4okpYSCgsNj1dULh9CEbUaChAd8GLA8dh4f/gy9tnSw+T8spxMyFQKkVuWbKd4B2IBFnqbBgrwi0JM36GYM6VqER5YrkXfNpSAXg/FF88cxhog8lHQmG7R7qkak5rLzNfcPiW0FFsCGFnBC56jXHMACw4IrL4E4KClHBCNVuUcNoMSY2m4Sz3IElVr/dltqLm0XCyijgJih88FGW6zatNMPSDYTtH+pcDKZxb0yw1AkWrpE4rDip2smBtN2X+EG5QGKAQZ9Q73oOWAaL5NE2ESAWSilgaIlrBoEICloBcM0cGvAMBqn800FJr3i2U18NuKIRKLdJMGcAhzAwBA2Oqwu9KpZkCBLLGQBn2pSbva1F1mPIusayan6y94LNW/MAsQCSFqEaGsC8WMSjAmQIVgoyILEJGohdc9bSU+9rKDsHKoiCihrCCjuE9aQinw4HhsQvDAwsalWRE3C+gUAKBUZhOdLOGQ4TJjgIhPJF4RgetIN0MRbXNRtBiifjQkk0fFTnGAAyIrX4j04XMXAvWLkiFy4hbWLi7LY+s8AWGD+gjBJvJEPGNxUDGQwi0pJu0lhwB9LNqHcgF2E4F0mbmcgVw8wCcxoSPxCrKkQCFpoMV1XEYeHsFI8GcXboYymtJlRgoDRgoJgCW4E32sRX3mguTAtpfLTCQJFQzRACx2tG4zRNzN7AYoBa7GEM1gI887tN+iPhVtJBcHvlMWgEiIkjsAogWkIkFTWzBEIsrM0gAJlk24l2q0yNrAEX05kgkRje+LVAnidw6g1O49myFqafUCiV+W4L6MlhZ6LdItFNX7AkDbNSwhfHwPrQIWH8x+vuvX7P9lT5FAbSEqcPkGLnJLTOMEyE2dcNGIZJQNGqDI2YQi2rKPGVafUEzQwHJsrfJ2obEKZhFAUWvnejuGD36sBEQ8VQN3Pxt6OEoNUbVfKCPmjFIZTSzUk4xq7HPBc2TfUO5fkxkDgFULWVtM1UM0eV28Ci2zFBSCIcoSVWsMkYjIBYBioQCAoOUNsw8yhNUVay6nfD4XwQwlS7YAv4SEa+b6SFMCfAR9ioVsTBrBGcKFLNaGGoqpEid72nJANN8mNURlED6xF9DGMPhEVFoALOKp/OvjKgX6AS8GwKq7zzR1hqjP3AmBDV6xy2siQDnwEHNA1G7PliESYE0MAJUIUAKNVoRA0xABivGJ2xkJvQANEA0axxfRVjXRhHG9h2BHxDNJQGRNooQQHLiMLbQbxmuahqiMvsCFIxgVEqHdaqnBbWXjHuLvwi+UUPQdWbSzs8tMhZ/7rqMYIrTN0GtBi/NdapG0pdZLAiLhmrRS7MvUA/x9JK7SEBFQXPqPz8cv3/dcAEDMdWJ1GqBNOU3N8x2hMGgCbkC5zhYfIsOfkym2gDcRSJeZ0BMs6eftLwCR67OIGTBAFPFio0bFb7EA8wXZLajFTU2m/Rq4V64T8d5bCNgEykG0jyi74j1n8ib5exvs5/dGrGPtLOyJlkJC1xC1KxidZguqyKAMwNjcAEDsCW0TF7MagEgxMotQSYP7TgwR112I3DvSbeiy9+ohzg677+cLP2WL5liLsHIjMiQ6GxC1NQbZ8YuyXEYJbbUo6gyRo4IIvLihxLWlYQaAANXOSw+X436A1BFwt2HkdWaIhN6mgQIKEhBZkXXCRB8rL0ILHt7y09vU3ygHUDZzBiYklwyRw/SJsnQFb3fD/duuqfMVB1HwPTnmB0hDuY8AAwgHniPd600U2EZPuszUd/oLnpw3pydZ24nAEJ0haumAqF03QJXD3dNt+Ojn7r6GyMCdEXpfaYZqLncLoNp1AF3HKTYBZclq96GhpS3gwSFCcqEBbwF+RJHuBi1k5p3bk5YDovm2UAEM4cIxwEBhgHUqkbkVAIbXyKR9C1BBnFAJiJxCWXOZ8SizgsYQwUfRd3szRJ0AkTBPz5WiXGZyV8HBRswBDuXAK1XXqGW5zDioKaGV3sFzQGS7zBRDxAedFjW2hhdg3DBeV4CIsugvV2OICue8GfjWU1n+HXth5OYWyigHXtcinymXmeegqS0imQyRAERoy1IRiiHigMhiiMQEKbIIJ74KuwcAJ2nLBJii9EITBekyo0JMXBxUxUSrI2ynvENjiAQg4jvbNvXlZC9264tF5vFYvXuX52zyNPedwRBpgmoAUg9SIm2pEYLuQhBaEs+Vk3IbHjunJibv5jITYvi+Ujl9DJB670RkVnZZCgmZmBHAxCRbRIxCxQLg8oVBLiLcjZz5/GAMkRg3sWBurM2GMMFMCBF2DUXWp1zFFGQmZhQLP7f7R1v47B/v0dwZ21SeM81afH6I4SDwPcV2kpYGiAQjyp63yd1+ZTQxoItrReZ1YcuO0IqZ1iVbknhaX46UdgyAZF8bKMAPhKDYAoHCNP3QA9sq2FbLcKtJl5kCRE3DZRag4Dta6YoMQCTeEWF6toLnyHFm1OQDDNdk4DqyL7fgsXlNbgCqUuxMCJH9rDrN+t0M10GKNg9IjDDS2qBD9FhMfJX/x+XC/Q4MkS/lD0EqYMMObIHfB8rZLVmLEWDrBiFaP1MbOzEewjZ7x00E8PTcTvNgOSCabwsVzS4S/zGmQNslA6quFQCsOFJmsu0jLZTQREF23pI2mSiqXuxAWwhQDlwknGKPww4RGoLatV1mwlwvlSuF5SEyGSIhkiZ8YkvVNbJcZlRqiNqyHpg0LkgULjMh9hTXkAyRlldoDS8KuXGiboTdF30XxGVtsJxMIth0DQNcD17YERB5fgHlwO3NEElheVpDlAmIygIQhRIMiGy3ChCZO3gxIQmWhmpRZqwNWlK8LoSoTRqgzV1mpK5piIqDiokaf0gldFtyKNvdAdJVGsJFi4vEC2gBoDIcXDFEAVyes4lN+GxiN+hwLSkjAKkHKaKl+n6h30wTAKZdkC4z+JwdUfqZmazM63zCH4842C4V08cADAxr5giGyGMpJNrw0aI8S/gUa49lg2ab84eR7aDaQHv+ODLA9EJSkekqxEZFASKzj4nFjMoEhVxD5ChwL0XVYVO5jCxA1IaPv6zbAdq/DABhAnfbZQig1eKpB4iPgueiAeWelJsbsSjy8Sc0fQWEmrh2WDFE4tgF+ylARGryvSZuQcsRxq4v+rvQ3NRpAV7A3TiIZCFZwyQgWo67tkwjgivF0dIyNET1dgxPlI5xPRQ8R5WuEDIEPWJSc5eBEBQ8By0OiFbAmks0d3zBc+V7b8OH7xI1z9LEqDEo6j/WeI3HqtQQKc1NHGraQRkgYD5vTDxVFNwRkWZZDJFKoQK3AMLnFp/EcJCovqxFSYuxKmsxAmpOztARSYaIM9gh8U05xTxYDojm2+RkUpR5bgoIpZZERoOISs0AsP+LgOIQKBc1r9BDW7XIA7FABZ6jaYh8lHyXTTrg5QmiNnDTj1WxUUpV0r7BfRHFCe4ZtRYax09riIywe5MhcuzoBGESEA2zS4tcOggVQxSYA1cBIh4FZGmIdD+12FntmGkaiRnZIsImhmcRJXTEtrs0QGQOTi9gYLKbhmjGYIiYhqjJJ8cSWsplliSajkExRKL9pJ5MAiIrQoMvRgEV+o0y24mJCTJqyuy+KtOwAkRek/cZwfIJt9n2e1RE37IjJENDeB22CCqNADt3qHbLkiHy4fPvuUjgIUbgOnBorNgniyESz1tC28gBY7OdvqsBIhowgCl2yQiz8xBx8LGDAyKRzE6a0NfUxxlY+eWJwHefiRURHwNuIItzikSjIux96YAGrjRGCYCh7wA0l5m1I1+AikxoGvd0mXEN2GxcZpL1IKoUCDexYG+ajhRYsqIrASBsc9aGeCj6joyYLKOpWAKLIYqI6u+DYh4rDskivgBYOSDHlekFBlFXSV3dQNvUNQBKUfAcEAKplWwhgOeLyLoo22Um81yt4AVZiez/sl1ERmxNQ9SwGKLAUy4z2AWaASPCDGBBD+I6qbQDmnuKRZlxtpN68BzH3HhqGzvBwoo6iXWwtCb6JmhRayNw/ffNIty6ZwEipxa7txnwsZ/BEM3oLjNPA6hg40wGh2guM5shiuDJfil1RJXtwA0/BE4/GksmWWqPuK2ihefbckA036b534mWXK3fZoie/nbm2uhbAjzl/7EoFj7JrdCjsbyitigqhqioaYgCzwHlO1EaNYEbTgcu+ifgJy9nA74xKTMgY3g1/vPPD+L8+6xB4ypAtGHrdty2cdISVXNXGQdELt+pplxmNkOk6agkIBpew/7nA9cXLjMiNB4WINImkkU8gdpMrSbDvKsoMSEqZ4j2JVoumsnH1GSyYI1xq4FfQCnwVLRRu8IWUM2MsHuPaYiE7qKgu8z03C2CISIt2X7CfSp3VrUdxrXEYiTyT8kJS2MHi75rgOEGClJU7XAtiVx4hU7tgQuZzqQ4zNgbkXG6LSY5GxC1lS5MY4hEVm92TIiiB+BnrwO+/xw2aWuLFbt/HqECLarJS4tMDUAkGSL2HgNEHUTVUwCAMR4dWLIBkWBBwxpLSLnuYmD8YRwbXQ8AIF4BjkMQeI6Msmpz3YORj8YCBnCFS8dymVk7cp/EcrxLcK+LqrUIqj6LlakLIarGkklwIJOeDhgLGgC5YG+ZamiLVVpH1OaLVUI8FHwtpxbRNURKWAsAMV/YZGAIwMBC32LgpZ9jeX1e+WX+nGzcD5C6YiS8gmpDmgBJBEKIIahvwocfKNaiq4ZoYIUsLyOAoLxOhmuSucwEQxRwZozr8zQZgjTB4olzAWjzdhI1vaRp7HPgOdKdyhgi8R75RkwrhitrubVURFbJYojeNPFj4M+fYfmOBPASfZub7jKTofd2wW4IUbUChURzxxcQStmCLvkQ70zoX9uOAmtyHtt0E/CnU4HR+3DwTZ9jp+eudwGk59NyQDTfJsI/vUABIqK0JHLB6lsMfOh64KP3sJB3AIRH5giKsoUAcJTIVDFErmQJmgjguwTUFYCoraI+aqOsoOnko+z3/uWAX8Svb9lkLIIAGLvCJ4DfXf8A3nj6dXhotGLsrADIekMi108vlxmEEJW0lI5qgQ2ILIbIs8CAxhCJjLJhbUp+VhWLiHAzEE07Mb1ZTSYiJJmb63ko+67KWAyk8sRMN0LVBl4AX9stFkikUc1azhqenK6IUIIBocFBeTFPb6AKlAKKbdBLDLBrCjEqa4Ohki8ZlyYCtKk16QhKW6R2EBnBlz2FMU4ico+LRkO4COEigXJbyneqASKRQRdgE+gR3hZgw7Xsg6u/CkxtYD+LiVIwRKRtgmpLVO05RBNVswggQ1TdyNIQmVFmpaLlMutfJvuCnqF7OWVAWbgLSr4rC4qGvOCvUYZGFxcDIJIhYvcrgHzW7n2IL5wxB3dy3NPY0MRJlxnv4yHx4bmO4TJTDJG2ULva4gTIfjBea2nFN9MMkXDDxI5vuIIC/b13YIgW8wgzljSUzx/HfhL4zGZgNRP8C+A3iLoh4tX1cLqOSICmFnz4nCFKRYkK0wDRjgqP5tIBkVtI5XsK4wRhTDVRNXOZiflPtHumhkicC0DIryMjZUXpI80tyaQMSg/nu4SNOTmPqfcu8h4lMlM3c+OCEBk+/7TWLezg8YfVXCFcotwSx5PC/AmZYNYE6HFCUW2puQhuAM/3ZeRcQWeI9KAg/v6HeNkOkbsIgBrn9/1RflSceRQs9zmXPuQMUW7Sx+8WJCtQQBv9xGKIALYT1nZ6hO+exU5MRHfYLrOCxhK0EMBzHQmIWBK+R9U1Hr4cmOSLFQciDiFpQKQxREI4ecMjEzLjqHBHUZ6/QgKiTgyR2F3pwnIBCodXs/85UBHCuxQgkqJqxb4IhkgP7aRwDDeDYdOb0uVJuBHHR1/BRQSPJY8DUsLqGR0QuQx8ClbGR6RNJFqWao0ZDCRDxBcwx1G5iLbeDpz7LuDPn0XgMNZAHS8AkSlGHSr5RsoF02UA1VdWHmV+LgSwWhg1wGlwEElvF4nOECmXWeB7aPGItgAhnk60shjNaf78RAYHKIaopWkXgpSo2nN1PZzPymEYLrPOUWbT6EPgOlJ7Is0vKdfJppvkx0L/Iib6oq9SKCSilpcOiGK1uWHfY/+7hMJFzFwigAJEA8tBeS21YX4t6TLz+yAXMo29ECBEJCWNxaLjqrD7ejvG/9y4Ad+7mEdVFQdNfRkUUzJWaZnCagC445fA954NPHw54oi1JyWeIRYOEGmpHwQQZH0w4uyzyLaf+NocZltBRZkZ7nYDEKnNlHIx+VJU7SNSEVZ6GR5Np9aRIRIbsbCO39z0KKrc5epZDJHQjmXOY1mAiIPCYcEQCfBbn5DidcNlBg5sxX0Bql2hEnImWukSwRILtt+w7few//sWG2443WUmoi5t13+1FSmGDAA83gYQLGQIX/TlUAEi0e8lICLaOxQbLs0ITXAY2SCBV5gDotwMhigQgCiU5QnQrfovF7Et4D7btqAcLZcZc5twqpnyul980A2EO8zipptvUrv34TVohjEmam1E1AIyji8nMwlcoE0kHBAlIjqBu3aMsHtKtTpbfGISRSrRQiCEjTK9PtvpE0Lgu8RcOAFNVJ1miAQoEFoAXYhqWLuqskLriQEBwPVR4tqBlif871PGIQZD5DIaXAdEgc0QaaVWfBKr+kGBmsRkLqI/ncZ2WNd/DweFTIsj2sCVAEroeXi5jMCVtah0l5k0sfCseJrZHvs8k/1viekjsPfXJhwk6BmLNYbIdxSbUCAhDiSbkLKF+2vMlgLCpnbBFFX7LtF21T6j7ruJqpNY9rFp2s9dpdbE62mAyCqNAwCERyOWfOU6Ea4LI2NxiiFSIMRHBFdE0AgGsrxIAkGxiMjFzXE0d45iIQXDKNwMiXgW6TaMsaPSwmf/cA/ueYSHeBeHUoBIAJvxWlvLVs0BxOX/znRkv3ijLHCbuExULQB1gFCVoRGMLL+GEIYLQJlYoNowfTPA3UfEK3A9HL9nDnLKnmJz2/AQBEJDFKMdRcAv3wJ8ZTVjuQEjKaMARCLthLxfDcR88fc34VO/uwsAVUEqro9AY4icRMkQpGUAItG+4r1KQERjlkLjuu9iWe1BOX5DwRBpbWIAItHPOABp0oK8h8TuzwArDQOwPqaBy8TxJaiWDJG1qas0tTkMANyCwQ6aLjOVaoLw+VewYqHOSuqCekAmfN2HjMsNTg6IclMMkVeEq+kojNDjTsb/JjpgBAsQ6QwRUbtq3yVyAl3ctmoYjdyroowW7Idt001+bmshdYMUQwQArgAxDt+98EHCOj1VQkyA5+/gx3NAJHzVRoSZACaa+M93HRkJInbidoZucdwAL24LQO7wde1JRxNARJjjoszvv+VyoGpFmo1X2wrIOT58T7nMfERahmkNEGkTlphAPR0QCZeGyEEF4Mj6jSBI4Ms2sABRonQresoFY4cMqIXSLwGHvZb97AbAIcerzzULOTBu8h1zibQZdU+pGWXmEmMCXQr+7g58mTqZPkny6wQklokZ4RbSDJGji6p9BjK0kOCUqLo5DRHlNo2+lO6CXbso3dC6W1KYI8CG50iXmahPZjBEkXp+AHA0EFJEG6v//G7gF/9P5aLRAJHQXcT6IpJR8V4ks/MkIBLvXTFEIkmhHJdZLjPeJ8eqLS1b9VZ2b5qWKOCFjSnxUPAd6WoLEKlitRYQFIBIggHP7EOGaWJ6VfYnrYcDgH5fucVaUAyRhxilsfuAdX9iffAvX2dspUgtMbAS0w0FoqV5BTYH8PsbIA1cet+IYrkBlphRA0SeBETdGSLhNlT55IZVTbSfvQG45HN4yfqvGaJqyR5nuP4HrVpuDQTqeMeamwGVU6y8yBjD1PFlHxqPsxmimYaWTw4AvIIhFC9mASK/LOdhUek+MlxmyxUoXH00sPp5AIAlZFK5zLKYrj1sOSCab5OTaEELuw+1SJtugIhPpqID2gxRVpQZH0hiAV0S8l3hymewhZcmwL1/ZJ8tWINxvrOK7K6ihd1LATgAz3aZaYOxgDC7bIfjy0ErcgP1QQdE3HWlASLPIfD4LoY4FiDSdlYAK24rAGHDYIgyJhJhfp8xwYlnkpXmXbFYTWG6EaLSDNFox6i0orTLTLqOOjBEOiBCBiDSo3O4LYs2K4YMmghbgDwBiHxNVE0LaZeZvlAe/2XghR8D3vMnjbEzd/cxj2wU0UZDHhO8GjXBXB+eQ+TiU0CIxeCsyFHvYElF/T7g2H9S39GuI3UXXpDWELmmhshzzBw81VaESNeT8N1v7JURwkuFKstri/DrDHNcniXZVaJqwboZJRwsYOB4vgzzXku2on/D5axsxbXfYseVF8o+KzREhvuj2Jkh8nhKAJHIVJZt0fqEqjg+qFyj3ARYnW6ESng7tZG5zDVbVmcRh9QNOEsg9HChcvFEJkMkkr7K92in7NCN/80hVM4jRLCdMvSe63Yc9Wxt+EaUWXnqAXXODdfxaEYKuAHC4gJZ1sLo/7zvJ2Jjx9vLYEcclg1dtJdPrRQKgHo/4n1BsR3SZeaXFOjmmeCXz9wlNzSsL3OQoUfYcRvk/czhbdGAlsSQWOy9bimGKJA5nRQgMkXVLCljpM7tuPAcIt2GBT3BrKYhEm5+0e8MQEQI8I4/As98N/C678k5fRmZ2qs0RF1WhNz2iEmGKIArXWa6sLTQ4YuQ+iLJEPFqw/I7kiHSojMoB0RcqzAQc1BSGgaGVwH3bVH3tOhATNd4Z4U56B4ea2HtkgEQwMgo7cJkiPTohBJaMnyZ3YwmqOb5J1w+cffx8FpKHBARFt2YAO78NRDWEHirEIQ8d4sAAVZ2W2F9BQ+lisUQ+U53QFRelF44HV8yXA2ew2NqchzHff0qxJTi2ycyHU7R0eh2w2UWa4BI0xA5DiISwKNtmeHV1UTJWPMC9fPyI4Htd2FRe6vqI9BdZrx9OUApu1ROug0EEpxJ0/vXwHLgZf9q/t1azBzXB0KgTn2AAIMef9+CHQIYQxQT1PgxBbSxKOGAaHAf4O2/ZYucDji9AhIQOKDy3Rui6lC5zFQyO84QWWCg2oowLHIj8d1vFLDFqpjpMisol1mGubx/+VoZlhJa6C94yg0GaMCA34/nIoSHAkIc6mguQ9FWpYUaQ8TdS14GQ6RpiAQzEQj9nAC0XA8n3jUAVU+qi6i60oxUhOHUBsayaLaoxdgs6ngILFG1ZAm0ki1ABkPUDRBp7JE4XjJrlpamxMdVTAliuAoQkRgD0+vUOWkM3PE/7OcF+6PaUgA51LWQ/D2FXj8KGJWuf0M/4wYI3LZkBsXmouBnuMwC1Z+lhkiCQg66hRyB2xJMARCian5OKwcTAFY8GIDHtWMNqjNE3QDRQqP9qavmMJGGIu0yixAQc/1xCNE0RJECw4bLjK8pfD2Q+eGELT4QeO23+QMx1n8ZmcQWsM1I5HRZ6/aQ5QzRfBqlRu4SAQY8xKnw9UzjLjOxC4lTGiI1ePVdte8SFRGQCFHzALDfMercjg+seDqm6tmA6D/+/DBuH2UTh55R2hZVu54v3SypWl5W2Q52WXOxom5BRWg0JoE/vB+44GN4Glkv9UpEaF/cLoBIMmRcgOtmuMxEeD/AdBUpQOTJnWHdYW1/50MbMF5rY6oe4j8uvA8AUPZ4mLQbmBoiEqXD7vk7jKwFy9fDpNc8H3jFFxm7csJ/AgAWtLcZDJEviiJaLrMBVwGVFgLTZQB0B9xAiiESySwbfEEd9Pg9WIDIc5TLrEhCDMcicm+ZIchXJyYyMkc/jyp2meEyE7tq4TLjug8j0ozvfkOfMV6MIbKu4/hdAZFgiAIthUJRTzcgTAIDLvZ1iWRUDs7SUJUXychSAWQMhqiLhkhmtha7cD4G9MVcjEtaSDNEgsWpNCPmMvPLrM88eBE7gLtp+3lhY7g+XMcUVUthrWAHZSCFqSGy+5Bhro+EMxzifh0rsaVo1yIREWbcbemrvltqmHm6cOtZ7P9Fa2X28pLvqoKm2vlbLhuDwsVo6meYDlDXwwEwS/BkuswC43j45cw+dpCzBYAWdg/ALkEEaHnHRJJVKA1Rd4ZosTGPUSeQGqLRkL+XqGlcq9IKtYoDHIg5pgtcslmay8yx1qqkmwuM575ahOm9iiHKAdF8WhJB6BvgqURjRbRVKHi3BUsIMoX+QDBEciLhomrXkYNc7EQcvqPsE2CmMAgc8ip17lXPBfyi9L3bgCiCi6seY4PTZIhMQKTX8ioQLVwTSIfcA3C7ASLNjqU3S0BEHZsZMwFRf8GTCd0aXFTuOCQtqhZFTgG2INgMkuPKnWGVsEl0alLlFVk3wt5Dn8vbwDXD7jtqiKDlnxHtEFhA+Pn/ALz+ezJaoxzPoJ9P4C3qwRfMmwWI+l3OolE2oVEbDHQD3EBqdy9Au9gxD7gCEGmaA8eDpy0ig6gpTYKVIFC32OpjTFRtaoh0MX2benA1UbXItTXTDDFdD3Hlg6NIOEPU8gVD5AKEmJo4x5W5oLJM1xApl1krHTEpGCIObj0NQKzSc10JKy9KaQRploZIY4gEoBZMhQA2og0KThoQRcFAqq8HPBdTtRUxAbceBVReBBzwEgDAYMSBrMPdoFrkoGKITEAkRL6S8enGEBEiI+vU8SbIE32r6KgQdUC51wGg2OKRofy+5UK9aC0qLfa9/qKq4ajfb5vrARVDpD0PIfD0bPNoM3f9LAGRtCAbEEmGiPqqPTOizEpW3jFTQ9RlGe9bYjBIoi4fAEzGgYxy1HVEMw0tyoz3R9clmoaonRl27/jmHEazglaE8U1wP2lI7Vica4ie5KZrXdwCHJG3RKO9Z+UyszVEVtg9y9/BQxvhwfccuHbIeWEQGNoXeP33GRh6zTcBoCsgKg8woDKAhiyRsbBoCv0YQ8I1GIjgZzJEChB51k6WegX2PHr6AQCLyZRkBOQiL/6P2saxfQXXSE4oWRq7DUQIOMAi22yGiLvAAKBG2POK6tO6DfhUHq+H3QeI4IjU9LrLDCzxnW6k0yJSGIIIx17Mq2gbu0sxCQlA5Kgs1QBB4D8+hsjl35dVz/kipQuqQQjfUbJjZII+4nQNEkglZnMLqcSMnuPA4+89gmswRCJKabLexpt+eB3ec+bNuOoO5kppehoggrZ5ANiCoSXhpPbCxRcN3yXSZVZGK51TS0aMckCkLSIL9SSFwgaWpwCnAYgyKt4zVoCqMhcyCSTvY9rcIVwXbbcfM20zT4/IxSTCzLHfC9Uf174U6GNtIJk9l7kn2xpTIkFBYrIJwo0nXPkk6MIQQemgxPFyYRXjk5+/yJ9N3IOnLcDlNgech7/ePPm+z5YM0YANiPh7bbrs/oSL0deCIgDAtdiRVEX2LqJqaX45VT4F0CKEDZdZWgspwHdBBIfQgjyeGC4zLeeQW2ApOzQGibi+1BBROLJCwL2PbMS3L3sI9XZkFnYVfdnR0oeQmLmK41C9e7+UAYi6SBJkuoWm3ODEucvsSW76wu0VQLLCJ91ugMjSH9gMET9/4LomQ+QQY3cFQA3mo/4OOOkSYMnBABQgotaCHVIXoy12jn408O23PB3/9IqDcfT+HNzwQRhouUsKiBC4muZCihF1hsgaVMIPbbFEi6gW3SV3yaZ2ShhzmamdlZzQrB1MOLSf+nlwVbbLzBclHNhC7YdsQnvd01QSx0FfucwIIXJi8BEpqjnFEHXR9hj34DC9F4ClZIqdSp9MLQ1Rn6MylANIA6Ju/QtIuZdcUcBTy1gMwARE4IsId6uJBH2i1lMni2zqX2eINFG12L1G8AwNkZjEr3loDA+NMsC57jEWmdfkIviiqJ+kL1jEBdXA8I6CmaFcB/fKZdaFIdJcZkKztRAVpGzB/ilAhEwNkRllxoA162NpUXWaIWq6fXjFt64xLtMnAFGLA6Kn/i0Hsw7wnA9IJm9YjDPLDRogVGNZsIPSdW0ydk7QhSGCyiMmgIjKwSUYIu7yEm5/Hl1ItL5ZbnPgtvRwk+ldfbQEfQMFz2B96xFFGCdocvd3iiESbeo4sn5fEW0zUhbIBkQ22+GXlFZLs4USEPkq7D4jykxcs6jNY2JjR/S5Q2P66jRg84X2d+J4ho4z4aVTvnPBzfjmZevwuT/ew+uYqaSMABvPQvpQcDi41rPtB31GVCWgXKeZJoXsDelWzBmiJ7sJ1w5X8tsumgRudvJAYSKahU+OymVmuo4KWobXNmVsQpohsjQd3ERel+H+dIK+7S0huKNYHEQ45aUHYWkfP6+jdBeCZjcSEwJKzKcBInsBloPK2l0tphozI57FYsaE9esaIi1/h32tLcH+GKcD2JAsxSXkBem21zREMxwQDaAO3yU46YX7wyEs78+wmBf4+cVA9xExVx2QAkQ0BQa6uLI4OFSASDFXdh4iweAIV08hmCNDZIFGz2KIxCKlJ2UEwKPM2L0sFsUetdIGWRZn6Ztk2L0QVTvSVRrCNaLMfMqe+fe3b5GnIDxbc00AIpHMjmj90PEwGShAex9Za94H78u+p4mq9dIV8gHMxIy6yyxVwgFgglcbkOp9ji9WtoZIF9PHGWH3woYctsCPtAsYrZmlLfrL7HvVVoQkoaxg9IduAN53BbDq2akNCLEZIkQq0aRkiKwNGTenF0Nk9XUiheKC7eSRXURt6lyHZXUWUY+FhC/O5YUsimnhWuDV3wD6lxouM51NuWXDNE797V2S7RUaIpWUkTNEegoJksUQpft3nGI7A9Mtyee8BRwoh/BUe1rJVQHlMtOZbgmgtLmDFtRcuj7h0bmaS404TC4g5ouYHx/z3FgX3LkN4zWVE0oCIs3NLJg6qTsiPHLTnku6MkQiQlllKE+6udj2kOWAaD4t0qJpgNQCHfXqINbxScplpgSAooMLl5nTiSGyrMbLAPRZFcJDuBhtEESUdaES5ROSJbDURcVGUUAgnaUakG5DaWKQWUkSF2qASO6QuomqSXpnZS/2o2EBx7S+jVe0v4bHGqWuouoZyna9g6SOpQNFPG3VMC76x2Nw+SdebCR1A5RQNiBacj7pMuOAyJ48uu2uOM29RAAi6sH3iLxHAIohIipLNQAUglkyUdoz6ybKJeh5iACkGCJCiATow0TsoHsAIm1iT0DYtWViRuEy0xki18hD5POJVZRpAJQbpu6w/i1BjAWIRmox/jV8J86MXonfDLwrsw1YoV6uIcoSVWcwRAIUyrxah76G/b/fMTz5oNkHDZY4M8pMpVEwjs+IMhOA6O4x3p6a9RfVexdjHIvWqozlnIWU1/ECBvC6aoi4y8ze6ffQqSWuySCRThoive4XH0eJDTxKCxig+8htwLNPAgBZ56wceAabEsPB72/fghovxbMk4Iw6zPHrO46hISqkGCI+lrU51HaBw/VZ3q3+5cCSw2Q/CGTYvZaY0TWfG2B9yXWItrELJKghrrqfyCngfe2P49L4mfgueTtvR50h4gCSu82iwjAANU7acYJL7t2eCQqF9KEgNJJiUycLS89FQ8SAWJm0ZH+m3Tb/e8jm/w6ezGbtKO0FuqdP1eqAsUVZC2DA3AyWy8wO1eyQEVtMJqWiea0ILnbU2qiihGHUUIj5pCASLQpA5KldZUBshsisdA/AoMHZzfPJcemhwIMXyo8XJip3htQQdRBV9wWutbPK1hCN1ijqvJr5VL3dFRBNJ1x3gDqW8ErUhy7nC35s0s2J4wMJz1ZMbIZIaIjUc4dw4XdxLUmGiAsyjd2llYdIABbpMusEODuZ1UaioKbQB8lkeqIva31YiKQXIr1gZJm+q46Jz/RWVrV7z3UkCyI1RPqEj4RpIwAs7g8wzKvCVwlrZ6mf0Bk5x8XITBNnxSwZ5TPqBBQERAQ8EMV2ivxLJbTSrhMZMZpmiKQ9893AMR9XSeoswEn09s7SEPmudDE0qQ9XLIb8msMFAtSBNz1zX/Tfx9ps3TRhLUOJZJPLPGVAnFDUWrEM65ZmJVN0LIaoSEIJStJRZlaf6hZlBoBagMmxdFHi/EUtUlZsLBLHg55HMauPiRxEJd81GKKY95MK39ysLkdAHXDsSFk9YhJtkyGiNNNllgqFd3w2x/7DrQw8XPFF488xPJbPC0hF1wFsg9HnEyPrfJbLrEE9XJo8C5cmz0JJ6D51DRG/r6LvotKMEPJgA5kiAcBMM4LrmG3gOUTqSH1iucwEA2jPJd0S32ptJfLoZVYO2MOWA6L5NC3knv1vA6I5MkR2+DkfUK5DTFG168BJaVay/fwCEPWV0oBouhFKQORHfNGzJsfAjrLytIVelDDQdqNpQMSve8wnGIDa7xjgN2oHH1Oi3H8dRNV6tuYGDRRLY7XBaF3trifrYUaUmScnoWkqstvWsbjfmggsQCQW+qCby0y7VgTPXkZN4+21hChRdUk+k5WHyMrQ7fv2znVuDJGIAlQ7Zv6sidhRquNFOLVkiIq9GCKtDUjA2iAwGSLfJcplRrnrRFt8PCQI4WDlUBHP2m8hhu7jgIgzROL9UZ0xcVyMzigQPVEPkbgFuDzni3KZEcxwhsio4SZv2mR8PW1XLS3oV2VRgDRDpLd3B4ZIbW4UUyLeUwERLv/YC7FyuAzvXvbsW5u8H8KBw9vO9VgJh2orQjM03WnsYS03lhfA01xHAEsjASAlqk5FMvq9GCLr76IPSYbIZG5aWt0vajBEJL2JAeTzMUCkwIwoULyFt89TW7fjtsL7cVH8XH461rZ6dJ2PyAREUUs9v7bI25pL+Z7FxtMKEjEY4g4bu0E/gSCv9CgzHeQ1EtUejZAV+i1r53b484uNQVsCoirWLCpjw7jlNpSg0JEbnIIERJz1tAtLy2fuwnKLDOFRA8NCX9fNxbaH7AnrMmu326jVar0PBFCr1VCtVo1/7Xa79xd3t9kMESFGRmg7FDtlVgeULINrTiSu5mZowc+OMuvQeRVDZLvMPFSakdxd+VzjoQCRiMxRgCjlMhNFLjV9kON4MrsvoO0egz7g1f8F7H+scR8RPAUyOoiqC74jXWZNnSGyAOd4Q201p+phB4ZIhKwqhkgUXpRm6WnEQs8YIn6MBETsPNSg8rvkFQFUyRa+s2rDU8yT5TKzM3R7tqt0zhoiM+xeum8EINJ2o+K5pX4myGYhheluBgmOrMSMnuPIbOgRXOa20dpOJAZ9wYGLsbAvkDm6KjxNgsruq/VD4hpFYcdrbdPtIwCRlZgxHWWmkqyK4xN7ik1lP7dF6zogys5DpLO9nq0joQnWXvIelL55oDxuc52Hw2v34jiuXBQbWYCoA0OkA6KCWJ2tsPs5uX8z/i7SHCimRGiI+KaOuhpDpLWfX8oU7TfEHBa4Zv/k7bGtyc7RF45jIani7zyerZv3EcchMumtkUsMMMCq3r+pzRDZINFi5A3GMsNlBgALfKUPa3YARNXEbPvxatvYMIh0K0JY3fJYfxxCDa88QhWzttOnsCgzzpSK1A7SZcY3LRnzZVez5rGuUWl7yJ5wgOjmm2/Ge97zHgwPD2PNmjW9vwBgzZo1WLx4MZYvXy7/ff3rX9/NdzoL88uM8dj32fKjWCPteqrurd29YohMt4nnaGH31DXyEEmzXSncGlxf0G9piCLqIk4oKtz/7vBoK7kwioFkl67QAZGoNaQDImtXTVL0u1VbC64CA2Jxp7G6D7BFRCVmDNQiYrVBLVST6XQjw2XmKpfZVMLuox8NDBU6iGsthsgo8GmF3VPD1dRjWPoCjLGJpAVf6SatsHtRVFdFmdlUfo9JyPq7ZzFE0mUmXaX6gsO+K4v/9hDX6gyRYJfkd5IIiEPGENlh99o9nnLsGhy1ehifPP4QDJd9GdY8Q5hmQYJhS0OksySVZpSZr8bWEBVTiRkthshRGjtptms6pSHSfu+Qh8g3XIbW8zSngPWXy4CFhBJsrnEBrQ6IXE+6/GbDEDlewQi9BpRmy2aIUokCe/QxeyF0BCi0XGa+FNN7khkzmZVsJko8H8tOr9pAtMdIq8M8S/TNqYriMzZ1AqwGA8a5U4u7zfZbm4NE748dNnZDnnKVUjiZpTuEtk9YI4yN5yDaRhUAWjxh6RCp4diD1DysGCJ2btchssB3wRZViznZBn29gDD/Xp8o/dSrtuQesPmHZHO0L3zhC3j961+Pgw46CN/4xjdm/b2zzjoLJ5544m68s52wZYcD777A+CiCCwEBMqsY69bJZaazBJTCITBF1S6BY09aHVwnUpCYElWza1Q5Q4RWhfnTLZeZSzQNkZ2HKAMQsWgGV+0+U5qX9H3IUHa9vaKWXEwLnqvC7mmgMuxak1RF25BN1sPMKLOAl6qYiFSE3SLfpLZtQCTei0cSuMQSJIqwe50d6cUQyfpXnCGinspvZDFEfmIBIs9+ph7Xsv7ue2aUWdCFIRL6jn5iio07mZ56QLoc9Fp+7Ro817dE1WZY8Skv3h+n8JpRC8u+jOKZJgOAFuVoR5nZLIkRNk00hkhoiEgWQ2QlZnQdtGxwa7eBNYaNjYqIvtQAEdvc8LFMdYYoW3M2jkFMNtiz6cJqx3U1QJSkv5jS9TCdWgJHapF8wSLYYfcphmhurn/pNrRE1UIwHoEn5IQl3O2Qu6uhucz0/iwYs42tvuyV0OjLalPTKymj/V0A6TZIsfte+lgrOERkhZdjL6N0R91iiBrt2HgfYt4X83CL5+caRhXLhwo46YX746fXPIrjD18MPAxDRyXzyXEdWkpDlIqU7bF+WRnm9wZA9IRjiM4//3ycdNJJKJe77zazLAzD3gfNs+kZdOfsMsuakJIYhBBTd+A6plYB6NgZBd1sM0RicFTBJ6FLPgd8ZTUwer9xD44Wfu0TjSGK2kpUrRXWJMTchRIblBBiTNYRXOUy09tD878HnqNcRyioRcRa7Ge07lFvRV1dZpXYkwUcF7gN8zjLZRZpk51HLbpZaGTcuQAikyEKodXUsjREvshsy11mvp2HqFvaf4C1t+6Sshkifv5MhsjWUfQCRJoeRAIWL1DXD+u8qK8CRJ5DTLZHYwYXFyI52U4TNvEHmQyRK4G/sLZe80qkkNAyVafK0ACay0yA5XRC06z6eLp11BAliTyneP62/t5J9lS+narw+U4us0yGyA6Fd1w5bqTrRGqIxIImgEwPdsQ2myGyNYGJCYhCnRmbBUNkACKd9eEA8dFoUfZ9EZ3x0QCRXr+uEyDKElXrZvUDqi/FlqtQ2ICj5jAAKrJUu08bEDXD2LgX4V4TOaRqjkruu7CvgM+ccBh+efJzcfxhfJOqucxi+d4FQ8QBkXBrpwIEerz3VB/LAdEes/e+970olUrYZ5998MlPfnLW+qM9bfri2ZshsgZVJiDiofe67sASogLI1JJQSlHnk8mABUDF4JAMUWOS0cfTm4x7YAxRhoaoslU9gxZlpu9EADsLq7hXNZAMl5n+3JqwmrnMFFOidnjmrrrSVr83oyRz8RKLYDtKZD2zBU7TPM6KuNIXeulmsF1mRoTV7BiigChgkGKIuK5DFoOUompr0unFEGnPwQ5nWhJBzQdUMEScLdAXnLkCIoMh0u5LC7238xCJfDQ2MwYASxzhUgxQTYSuhzMLFiCyQYERHdZBQ2S4f4GUqNohJO3+TLkVLNF6loYIVPYXQgiKju46ygB4mm2narG3XWalri4zS0PkKN1OKtrIYoUfL0Mkk8bKvswBkQ2EAfO5OzBE4vlY2Za0hmgaHbKnGy6zDLc30AUQ9WiDVMoUrb93EFWXBSCiXRiiyBzPzSgx7sV2mY1GovxTDUMlNraff+BieDJbt2KI1HsXmzobEPUA/7bZiRxzDVG24Fn/12g0ep+kh73jHe/AXXfdhVarhXPOOQfnnnsu3ve+93U8vtVqYWZmxvi3p0xnB7rmcQA6AyJ9sPHJSgdEbBHp3XnbcYI4YfToQJ852YjdVQXZk5CYTPRQ3QARW5Ca08CDvKr24oMN3zvbVWsDI2uQ6ICIKvrcyIUR64DIlRqiBi1ok6kNiNTPrTBOX9txpYaoFSWyntmgUzePs6NuDNFvwsCDNZGaoupeGiKzzWU+Hu2aymUmikF2cJl1WEgN09vBZf1Hnk8wRPaiiJ0BRBkMEaCF3teMFBIR1dylGYBoiLJxO40BhDHrx4HM0muKqhsWQxTq2h+ZU4ugQdkzlNBWEV7CLFE1IRlsn+2atsa4o49dr6DarKHybhUd4f52NZdZ9nscpcPy504aomxRteUycxUIEQyu0HKlXWY93EW2pdiTDlpIGwgDxtzRKUCgU9h9QtXG6L4kQ4+awRAFJIYeKKvGsaUN6wmIzPk2noWoumwVqFZ6OC3KLKLGdxrt2JzrNXAPADtC9p4XODUT6MnxzI63S3cAkIEOymVm9sGUTtW2lFs2z1SNtWvXGmJn+99xxx33uK/xzW9+EwceeCBc18UxxxyDr33ta/jVr36FHTsyCi4C+PKXv4yhoSH5b9WqVY/7HmZrZo2lXh2qQyIs/XsiOaOM0BChyr0jQeotrQxA2ey8Imx5m7YDNUxzmemi6kJ7Evj+84A/ncqO07O3gu2qRYp49v2MNvBNl5mrAxsvAxD5usssyN5dApjWNmStKElP7ITIiaQdJ6hSFWkmjVKAmhEa+uLuOwkTvIpjRLFTPVx9li4zYTGcjlFmnq0hsjNVzwYQaffmOK5Rp8zv4jJLA6LuLmA9VNlgiLSK977jyAgYc2FMA6K+mLlkJ9GPMGbfUQyRHnafoSHSZTVaGZomB/cOoSgQDUFTmhJVM4bIAk09mAJjESEE6F/Kfq6MyI8LRDFEChCm+0xEfFyZPF3+brrMnO4aoi4MkapNyNvM2gDoiQLZl3tt7CyWLBV2b2mINO0U0ftvh9QhAuwWA9NlpgPEz4fvwsYj/9FMiaCDLe0ZZGJCQEXK2kWLU8LyubjMskXVKqcY1yRmuP5tQNSKYtiZqgE1DkYivqlDVbG8QCo4xtEYIim4lqLqbIaI9IpgnUtm6z1k8w6Itm/f3pUhuu6663b5NQ89lNW6eeSRRzL//ulPfxrT09Py36ZNm3b5PXSyVNHJbtZpcrU0RKDUiNAgJMNllgGIWnxV8ByCYsHSKwn/O12R+p5+D4bLjIQYePRi5S4DUmH0jtNDQwQYE5+hn9GfQxMk6i4zIzGjXggRDqrawhAlFFFiTi4ADP3ANAdE/dDcr5qGRYXtOjKVgItE5V8qDEo2QWdHZusyk/cKV83zlobI4wyR0BAVdsplpr0PQuASxRD51MpDpJcRSLlluzNEBiNqMESiwGsNjgNJ5xtRVvK5VfsXoykAwHiiM0Sz0xCF+qvXsq63NG2RXkKDBTDw/qONJYMhcvy0+LlTyLmwfh4KXd2urqu5zLwsTRQAHP9VfPWoK3BZohZ4XVTt9ooyc1zjfRDiyLYWDK5cGK2we3TKwdPBbK2JazNEHBiYCTnT7qJO+Y4aRh6itKgaAG6mh2L7UR8F+pZqN6YxRNp7kiJgAKiNsv/7te8hK/VAD5eZ3k8y5jAAKHFmUKS8yJIKZDJExvg1XWabQ8ZseUgMFtJmfPWwe/neUy6zx6khykXVu8dqtVrXPEO33XYbAGDffffN/HuhUMDg4KDxb0+ZDohSwmfbUvS7mJA0l1gSGjuNNnw4BGk0noHmWxEPV/WclPZEMESP0OWp7+n34jqKYvcRIRi7j997ALzks8BR7zQfyRZVZy3YFkPkkAxA1Mllpofda9+L4BqMGAC0tMlFTFjyuwCmuH6qKJJSAoopAeRk7WpaEg9U7SrL2q5SW3zmzhBl6Kj4hCaSC6qwe/O9//HO7Sl3Ucq0e3NdF65L5KQsGKhdwRCZLrMMhihsGAECEVzlLs1giIrhFABggvbLRV9FmZluhJSGKDETNwKib7oS3Bb1hVFfvDppiLI0Fbag2E6cmcEQlUTVd91laAOiwoAUwAvT74W4Hkrd8hDByjita4hod4YoxYb0TO1gpx6wRdVpl5l4bpMh6h52X/Qdo3/armnfJabrK8NlBgCBVkAX1XSkrPEMwnq4zGaTh0hGF0KxNvZ91iPjK+zZMzJVi3Ew1aQYp1z/VFV9LBUt7DiI+Xt3RQSwLaqehQzDMGs+yCxuvoftCQeIms2mkVhRMEmJRvfts88++NKXvgQA+M1vfoNTTz0Vd9xxB0ZGRvDb3/4Wp556Kt7+9rdjn332mZdn6GbmjrIXQ2SLfjMGVRJZgIiHaNsTaJaGiDNEQQYgEraJLsXlpVeyOj0Z90KssHtPAKLXnw686FMmLQ2kI3N6aIgiXUcBpHKXAEDBJSiLxIy0oHaX2o45Jh7asek60PFRYu2sAGAy5uLmqKIdqM1I/N6ZloR9b2j6PuCMV7C/lxdrx+rRWXNkiKijuY7MRcS1RNU2IDr1D/fhf27c0P16FkOkVz0XYf2KIdIWkTlqiPRdtakhUi4zPcrKdBllvPf2FABggg5gmhcp7pSHyAYFYZwGRGwBUoxnoSMg4lFmjjWes3bA1meefcwA33BUtsmPfIMh6gyIfNdkoxJNF+V5Kuy+1QEQGUVXiaNpiKyF0dIQpTYxc2aIXON84vx6dKGbBYg6iKrFuA5cJ7N0h/y665j5gYz8PQoIF7R6cZ0Yop5RZnaZplmIqsV1Rf9TmyD13WZoMURhd1H1dCPEGOXpHaqj6osZDJF0mYnNjx12n3rmuWmIMr0Be9jm/w7maO94xztw8cUXy9+XL2cTxs0334zDDjsMANDf348gYAvAG97wBoyMjODkk0/Gpk2bsGbNGnzmM5/Bhz/84T1/87OwZC4uM0uE5jjmJA+ATSbaTiOExxmi2bvMAs8xk5FBL31AcNbiT+C4433gxy9J3btLCFpalJkjdiHDqzMfSfdVs9NnYHYrysxgiJz07qrgKEDYhJ8pqk6FR0M9v34funtuKikBDuAbgEh3mbnyO2LyPfLmT6m/izwz+n3DijjJMoshSuB0zEMkGSLhMguC1HcfG+8RcWloiBxDVO3ZgEjrV6kSDnNgiIxxIMt3VEGgsq7HcLpqiNwmq3c3CR0QZQjqNVH14v4AY9U2woSq7SJRwlKAsaxFhCoHE6ByEDme2gyAINbF2ZkMURdRNQAs5hq7a74BLH8qcPgbZLXxzMSMwoJyaswaDJHTQ1QNiyEijmTjUgujpTdJ5++afZQZy0LtmJ9zBsqjghnUNESGqDobcOsbuzijdIcwBoi0iDNtHHqeixAeCghVugFAsSp9JiDqmdbE+j2bITK9HHouOUBniNIgL3AdtOMkFXbvSD0c++5UPcQOOoRDsLkDIFKbgZTLTDJEJeNY+UxzZojm32X2hANEv/nNb3oes3nzZvmz7/s45ZRTcMopp+zO29plZrjMei2MKZdZBrOSxLJzJ5QggcM1RL39/AIQFDw3FWKs14IqeE5HgZzrEEm1ekhAZLmOxciylJshU1StdoKJvigC2S4zqiawVgeXmS7kLgdMU9KKu2uIZigvBxFqgMhwmXmpZ/JDzb225vnafc9BVG21tRFlZmmI3IgJH4UQ09YQxXCM6vCZpkfJOWwRljqGlMvscUSZGaJqrQ/wYraoT7A0VHq0kb1L1gCp6GuTtF8Couw8RB6aPEfZgjIDRFFGlJlYgFoa4ylN7Oa1MekQ9HaZpQTF1rtf9Wz182/fA7zZkekW2jpDlqFN8myGSBuznufJtggz+jlgpkEAZwYBpSFyxbiSLrNOYfe9XP+afg6OiuKyU0hIl1EHDVGHBVgJ6h1js5HpMnOyN2Mez6dWQCg1XEhiYOwh9vPC/c2LzjHKLMkUVWe7zCRDlCGoF+94uOxjtNJCM4pBXVe9edd0mU03QhUYM7EeuO3nwEEvT1cc0DaqojyOzCNX4Bu7lMtsrgzR/AOiJ5zL7P+6JZ0ibbLMGlQk02WmGCJRJ83RNUbgO/OMTLeGy6zL5Bp4Tkc9E2N82HVLpAXS5uBB18/oj0SIce5MlkwDBBTEAkQCCOoMkVq4QriZomrpBnAIygE7h8EQiW8Qdb0ZXrbEbWtpGXSGSOyuSHo3ime/D3jhx7Rj58AQ2XQ7HDgdFhEnVmJyACgUbDEnwWhPQKSLawlniNhnLg056M4SVc9RQ9QJEA1w4X5lK8usIFwnVKtjl8EQiZxY2+hC+S79DqLqiLvcB4rsPFl9UICvTEBkJWUETFcpO0GWy0yN4ZBqSUaFLT+SlfcRtu5PZpRZJ1G1o+Uo4mZEmblqHIRxup8DADWY2nSUmdPBZZYKt+7BEOkLYQRXq/puMkQCgEVU0xBlbQIBjFVbSHhQhAB8BW8WLjMDBGqASCspFCAG7jsP+PeFjCXx+4BFB5rP1Cs5pQ2ISAaws0TVAgiLqF25GdDncv5MC/t4AtV2bKwjjuX6n26EKjDm6q8C558CnHmCiiAzMlULMT1/70I/1c/1U6mo3F6ianM+6BmmvwcsB0R7memJGVNROrY5jsEmEGvXC4AtEImimgEmdDY0Kx1qpumiateaqHWGyHWcdJp2LcpM6CiWYEr9TUvGqBtxLPCQBQ70CYASM+xeuszUYuXxSKgW9QGQzF11mzNEgevIXEPNKHvnLL4/RZnewOV1o9gNCUBE5PlTbkAAeMlnTPfSXACRawOirEVEACI2sYlkbgWtuCvTRBCj0numGcUhXV7kUy+T0swUVafyaO1sYkaho7nlDLj3/NZI0KduzFP38r8fBX71NmDHgwCYzk1YJ1F1xBfNvoIARCZgAvi4AWTlc5mDCUiVawEYeDTusYfLLIaT3pc4Livvc+Iv2e9bb1euE+ppLsAMQGRtYnQA4DquzHQsANHITBMPjyoG0wClRpQZdwkmNkOUzrulf97JdEBktnu2hkiPLCWGZo39fOUDo3jWFy/Df13K3r/Y2PmuY7AW1EqJEHhdAJFD5PwZkAi47rvquANenCFBmJvLDLMSVfPUKdJlxv+QUZ9tsMjO0Y6p8R5tUTUAPGJHCk+sB0a51tPIVC0CQ/hYt0svpUBgD3jRo4zNfFgOiPYyo73AgGV6UUBjIdWBgQRE7Fg77D7psIPTGSJCbECkzCVId27pe1bXXUqm2N/KizIZKXYuYk5UWS4z3S2TYojS/neX/yy0TFm7auEyCzyHFYGEGWWmm5hMxsGiD53GmPpjRoJChxBrok8DQmK4DXoBYbNNDEGmBMJs8nSky0zkITLbDgAmap0jMu/YNIVapNrXkQyRtriHzVmKqnvkIYL+Xe2ZBleqU/zx/XB4LaUwCxDd+3vg1jOBBy+U2Z03GoAoA0A4ngQFiiFKj0OhbZGCcsNlZkVaIeO993CZGeyIbYKBqGwztCQdS3c4rllzy3omV3OZtaMEtVaE13z3Grz6O3/FtmnWZ4z5hCgWUgEi/sxW2L3TS1BsWce+b7G9DlUus6xK76LPfOkiVj7o+1euRztKpKja9xzJkLBrZTBExjNrLkbHka6qvngG2HIr+8NzPgC84fvpZ7KjLXukW5iNqNq3XWaZDBH7TPTjOEmM9yhyRAUaWL6HWu4+QLkCHaWdFO/doTGw/kqgzuc9AYis9aqnh6NTHr15tBwQ7WVmlxToebyxiGR8V2OIxGSTcpmRbIZIj85IX1dbJB2SEfGWZogWE+5aEpqQDHMIkdEc/OQZB5kUcaaGSHOZuby8hIh2UzvntKg68BwUeTbjTgyRuN44ZYCIiJ0SkMmUpLQk5UXp5zK0N3NjiOyFi90Hr30ViSgzUf9IC23nz98IY+le0K3WivCG71+L+0dVtnjHYdFGCRzJqiHSAJHBEPUW7pum9WW9vRYfnHl0ZLl0AADb7jSOGXcWoQolQhd92QAexJU5p/olQ5QG5ZIhkoBI28FnACICtRmw/6bObTFE6SOYCZasOY1+ngjU1BCl+5M9bg2GyPU0lxnFn+/djh2VFlpRghsfYfloEms+EW0mNg+dGKK5aohMl1lnhohIUbVy3+mBJAJUzDTVe9k0WZdgt1eUmWdriLSfPVcljF3U3szGV2kBcMLXMuczaoznjOfvGnaf1kECChCFXTVE7JkEIIoshkgAQh0sb6ZL8NDi40xAM/ko/4LmMuPM6FAyBfz8DepYkZTSTsxou39ts/pJp435nrQcEO1l1nGX3Ol4g9bupSFSmhYzX4z6+fr14/joObdjqt5GiycqLNhVvdnF1KUISe/+SXpnMSAyOuuRHPZZSfZiZFg3QGRpaACAxAIQWROJEWXG6XBXMUTNDA0RoADVuAhXrU+o69kRN0BaKG7XPQKMxbLne7cmDkOELZ6JsgWeRCLKjIugvexz1zMije7ewkSTOvBwHdXekiXSXWaGaNWm0Ls/l549muqAcdFa4H1Xpo7X81XJc4udLbebii8wfu9U7V64zPq5xsoU9msbCWgMEdUWrMTU0YjjezNEHfQzthUGZYLKFQmLbJJJVoE0m+x4XUXVrqYhascJNk8q0HvHpikAtoZIPYcYK5IhsljRVPj0TjNEZpFTJ0kzY8RyF0VxYgQJbJtqiqGAwHUMnYqehkD8vZvLTPS34TZPkjlguZo008dw5kKf2tRk9BPLZeZZDJF89wZjLgARO3+UUAOQ2WH3wq44/EvAJx40dY3aufV5fP/2OvX3BfsrwGv3917wwprb94ZaZvN/B7kZZpQUmEVZBdvPLy1TQ6RN7MYORn3vrT++AQBQCjwcuS9b8LMYIt1ch6RF1TJLswIDMlzVChu3zzUnDRGIlZgxI2SVF3ptU8EQifOr74nFoqClGOiAh+RkPIl+dn1QluW1f2mmuNghPPxaXC5DS6NP7Jk7SuMGugEijSFKEjhWYkbdnaFzQvVWJNkRYXdv5oBIWziIo/LRMGDQYALMDIYoSWkKuj+XsRmw3Yb7PANYerjSNsAGLfzcomjuS/8ZIA5+/8BRwIQqrdJJVB1yUXV/weXXT4NsoaERGiKhTWM3k8EQEYvF6sEQJd0YIkIYSzSxHksTxkgaKScyGKKuLjPXl8A+jBNsm1YFiju5zISFuoYoSbRSNTwPUS/9jP1onRgiS1TtaAyR5HgtQfGOags62bllSn/3JgM0F1G16zgSEA01eab9LoAIvYJjbB0gzQCCtqha0xAZm8CMyLl+wRAliTGuhNjb1pd5QYGJo2VBYW5a3w+zXPnvPM/4NYEDB6I/9NjY2S62vQAQ5QzRXmZzZog6usw0piQRUTl8IiMwo4H4OUZn1KR4+8ZJmbBNMCadjGmSrMmET1muLSwFugIiZ1YaIhMQmQyROYkCkL54sbPKcjMIQBR4asHvBIjEwhjDxQSG2Yc8oinLZabnIWIfpJkCY2Kfq6jamHg0hihSu37hMnO0sG59SqxlZKse59oivdiu6yp3RSuLIdLeV+q99wL4GrDNbIOM/EvS7H5ywEuAYz6O2DeLbqoMx/oi4koWob+LhkhgVuky0wFRhnaMsZ1z1RClD5HG81YNJjPp4zNdZp1F1Z7nyTImYZxgRBv7gmEx2yDN+DJApLUBf5Z0lNnsXWZmYlorYjLRmG45hM33uF0DdgCwRWO+AtdROY6s53MI0jUedTEyUUBwqLWFfTjYhSEytE0Z/d7qC5E+GsXfqBa9CZWHqU09K5Cks4Yoiqmx4RUuRlnChpvsKzZ7LQMKSFrbePQpwAKzKG5itFkvhkh7d5T0TjOzBywHRHuZ2UUne5neAc3IGZ0hygi7d9JgYNOk2k3NNEKpISpkMET6gJJ/NhK5cUDkWMnpAJXZNMOclMssY5Do0UhwjNxAiiHSQ6JNDZESVWsuGg0QiQU/pp1E1ep7W10+KV74CeDXfwdUtqfuO7UwZoiLSS8woJtNwWfu5CkTO3NTDFF2n6q1otRnQouh79r1tAPCDWdoiHSgYYfd9mKI9PeRNZlartaurlVegsHeCWeJkCNNs6ZcZuk+aIfdu4nGQmYyRMTMZ5QpKlfXifUEm1nGn6mPMhYspq5Kt2B/z9Fy9WjnV39WucXCiBpAYkeVA6IM9lnPJE80dzz7YycNUXeGyPE6uczMzQ2hIuzcBUH6PcYgGLEiJjdPMUBEOODRw+H19pCssZGHyNYBst9LIUv4aWSaTz1UrzHsGn3c2DzoEbsa0+1pDJHxavWNHe9vAwXBEFFTVJ0RZWb8ngJEymWW2PxlhuvfBNG9NETqvnpuBvaQzT9HlZthHRmfTsd3oLWNySQVdk8sUMF6oh5+PVFvG1FmthVcR/5d7la8AhCKrMdc9JjJEHXTENkus4w2sCjiIAsQdWGIskTVEhC5GkPUIWGdzkhtc/fBkfF9wNbb2T9ZT85ymfUCRI4OBuYoqs7UECUyk2yL+rJNSYdQ2CxAVGma/QYwNUQCGCDUGaIuDGcvDVEvdjTotz7oApwDAYjM51WJHPXFSP0sGCJD1K3tkgENWPfUEHVw6xmPoOnYaI/3zp+pTNl7ZSJsXQ9HIB2hjqfcg9x05tX3lcusHScycSXAGCJKqQlO+Dgk0GoNphiiDi6znhoiBQC6iaoVQ+TBz2DGYriYqptCZBFBGbgsUpa45twhLMgERNpGAGoMF0Qi1oLdH/WH0l1mHeZxN5AZzpNOGc3jtkxEKxki+F0ZIocwyQPAAFGWFsxOoyLHiT3GtOCYFCDK0IKaaWBm7zLr6i7eg5YzRHuZ0V7sSOr4DnobnSFKJWY0j5UuM02M2AwTTNXZ9woZgEifbGUyOa8DQ2QDoi4METBXUXWnPES6hkgAIl/ek36PgM0QcZeYEXmlLSbaIrvRP8C8t403pu471Qa23gomvdyTISLEFG12ijILzSzV7M86EFZmV3sHGEsImO/D0ZgHJapuZDJEdp6X3mkkeoBCrd/E1Dp3B4bI1r+5GWH3OosjNETZUWYcQHANkWOAbg4o9TInxHrvWePZCgPvuku2FqvU8ZbL3LcWPZ2pdRxHjuEwTlBrK0DcDBNUW1FmLiYQzfWehCYTK0TVqSSEO8sQaXMYsjVEegPElBgRZgAwWTczlOsuY1NTJYCy7jIjxo/i+ELEXJYIMoIjuNEsN7ZteoRhVpQZYDBwrkw74JkJPK0NYsl3JdiN4sQ8twBEVkeTm14b5Gn1GKkNF7IAkdEHe7nMzBQgewNDlAOivczm6jLTdx9GZE6WhkhQ3SlRNWeIKqb/fTvXFWQxRPpCIweX4RcXgMja9QEdizDK5+jpMuuiIXK15xYmosxSGV61tuP/mxoiHTKon/Xr/bX8clNcWeGCS+1dMKZAu0c7iSVMQJTK35NlnaLSJCBSGiKhH2K31YEhamcxRFmAKMNlFnYIu8/QtXQz/Tl6ucxSmb/tc/dgiHQXpd4/+/jOOs7YaNgMkSxbAmQyRCR1nqy21+9DcwVlWSELEHVebG1RtT6uiJa4MYwT1FsmIK40o45Mrakh4v2GuGoT5Jrjs9fGzrEi7fRnAKDC7mWUmeZesTREdomWac4YCfBnR6UJU8xhZw1RZLv+uzFEnQoV66a9ushmecWza8JqwUiGeqkewBxzICgFnkqimVBr09yLIcp2mTmZDFH6+c2yQ7N3mSU62zmPlgOivc46MD4dzBxsWf53RWsbeYiMQcTOMV416WbhQrMnVsAUWrtdGKJU6DHQ1WUG9BDLWp+lS3ek8xAphkgNbn6TqVMHripiqTNE+pF6e7S8fuDDNwInXdrxHknKZZYRZWboZ2bx3nUtBMmYhDSGSGSpBtBRo2IviAAw0xQgSX3H1aLMeoXdpxiiuYTdZy0ivg6IujBEflley/fM42S4tvaZWOg8h8iCp1k6NtF2sh8ladBtZ6o2I5ky2l5nOHrpKKwFKO1m0AC846b0U+Z1HQkaaq1Y6gXFu600o0yXGaBFmcVhOgcR0DPvUPpWskFKJw1RjGwNUQRHAqIVw2yM2QDJdU1WQt5DFiDSdYDImMcyAIEwmjUmbeugY2M3ms5F5HYSVdsMUaDc2lGcWAl7RYCAzRDx31MMkQoomJXLzLjW7BkiCtITP+0JywHRXmZzDrs3dBcZ7JKhIRITu3luEUxVaZosgRBXek66p+oMkaonpU2KmssspSHq4TIzlDs9w+4dGHgty2UWm6JqLWY3derODJEy3RXhuYRF/wyv7niPbiofTZaGSHeZzWJBcTq4GXSXGQ9Bb2oMUacFV5Rp0S2bIXLTGiIjMWO2y4H9bQ4aoqwQX20C7gq2tIXKZogEqCFaEV6RcM9zFSDqpiEKZR6eLFG1GWXWkyGyFvSugMgSscZwzDWHamGRjpdiAUgKMLEvT2q6m2WDDEhUmmHHe490DVGcZsb0KDMH2WPINBMUqi9bGiLpMtPaSb+vhGCmwY5ZMVTkz8a+K4AxMdw0JgPEb167LfPvdpj+bBmiTi+VGO5Sq797aUAkXLRt+CagsQCl7jKLE4o4QxyfcpkJVq+DqDpzY5vJEOlt1sv1bzL0ewEeygHR3maPJzGj4beWLrOsxIymy4zy3UnFEtYKDYkdrQKYC02WC0p075SgGOgadg/MJsrM3BEZ9+dqzy2sE0PUK8osUQuMDjb1hUaG8dq12fRM1U6XKBKIW+nwHjuZVSFcnUj8TIHGFABVc41dJ3vaaUUJ1o1U8KH/uRW3bWRRNDXOGiUWQ5RKzBg2MkXVqellFtooYY/LZaZN6raGSIbda+BBvBvfcVDkzGecUe3ek4BIY0jkDYmwezMxYyeWRfvQeKauUWbWAtTVxeZ43c9FFCAS+rGC52BBH7t/xhBls9Xic0Jj9dw6EJxrTSoLFEqzanqJd5YYgMiMVJIM0ZDplpfzVYfSHU7G+UxAlLWx6waIZuM60oCg7Y7LYIgcquUh6iCtoCAo+apsSxjTzDxlNukv2URbziBSTpCMTUgWINppDVEX9+8etBwQ7WWWtTPtZkknl5n4Lk20PER8IiPmucXiUrEEiVUOkOyMt4CpK1KTiXZAN4aoR5HPnm1g+cyzXWa6O4MDIp6YUR2efq6CxhCFWpQZ0ULwdTAo2TO/CHjaZNKtlllmYsZsCryjdSoNoEeZNRiwmUJnF6UeaXT2dY/horu3442nXwdKqWSNjDItrgaIaAZDlFF5W/ty10cyNgNZrtKgm8vMzTwuxRBJl5kCRDpDVPAyXGYyD5HNEPWqZTYbhkgHRD1UFIUMl1mnL1jtl0qu6rgpbWB/wcMATzsw0wwtMGcCNwCsj2UxRHNNsGcIo7Pc/pbLjDqQY1cHONSRourlQ+YYkyVbOiRmlOCxk4YIGf25m8vMaIMOLJl+7/aYFyyyDohioSGy2D8rlUDRd+W8FFuZqhXAMTuODJKxBfGO0p0mtluvZ5RZD4BjaUHnHw7lgGivM7N8wWyizHQQlOUyU7s4I+w+oyBglbvMRMbilgir5+fVF4kgK8rMRETyu7EdTtxjB9kzysyqdm8AtswoM7N0h9pdZrsCs6PMtNs3GCLtHKVh7R7NyTbuFFYrj9GZwVkMS12Iqp9bAiKqABHtPHGL6u7tKMFDWqXzyXooAWFivVeVqTojD5GTvYiyvz3OPERGVXT73Wm/a1o2g8nU3pUOcMOEfe65iiHKSg4qduVCnG/0sUxRtcWOZi0QhtugR6SN5WrtLqp2jUUvpScibgoklQuuTOg304zMQAAr3w8APrdk5F+ao4bIdJnpmyEzp5hgiIzoOotdElq4ZQNmW3kZ0YV6qHtPQEQygkO6uMz0ticd3Ybq88juz6I9ozRD1LbzEFlMSylQgChMEsQZGybbnSr7QmpuVkx/asz56Y2dmZixx/qVR5nl1svmWu3edDOkdwIdEzNaEzGgGKGl9mQiCilqA1gPxVcuM30CVQMpNZH0WBizduedvp+kEjNmuMwsDVFXUfVsNETa4mJcW3ebWRmL55KHqFOuIMOskg/amdh/9XHghh8AAKbQBRAFChBVNQ2ZnuGXWou6qvquRZlliaptUDMXl1nW1NSNfcpKvQBTVG0AIigNUcTBka+Jqg2zNESpau9AZtg9cSxXSOaMbzJEXZUUdoZyOHA6HU7MBSYVGEGclOC8L/BkDayKzRBlMSt6JmU9M/tcAVEW+wTArnYvGCJDTG6lTxDRkoutOUy6tjskZlQaoow5FB00NF6XaNnZbGp0t21ibxo7a4hC6nZ0mSVwUA5cCQDjhCJ29GAXvgakRNUdGCI5j2cxvumNrblB79EGVuqXHBDlljJTVD0bDVE6WgyA5jJLM0Sp4q58ehGiansymbWouhNDZLvMejJEs3eZJSCmhkiW7sgIu+eASBXETIPCThoifbTq1zN2WvqO0brvnoAoQ3/VzfRdeFaeEYzex+qroTNDREEkI9COEmyZUiBIrwFlJOwmSsQu8xvpeYg6MEQUpPcE2Us/Z+0oDctKSooO6SFgMUScCfNcRzveFCADaVF1b4bIDqfu7jLryRBZ/Sam3UOVuzJEjpPSBhZ9xRDVWpEF5jRmRbynJO7gMpvjspIxDo1zWhoigyHSrhVSIvVQi/stQCT3bNkbD8UQZfdfggxRdYYWUJ17FptZrQ92PPdsRNUWc8pcZux8UUxNhsjKui5MZep2MnVUqZJKQObG1siK3bN0h96nyF7hNMsB0V5nGWxHFzPBQwaQSGK5exVMDUkxRECSUMkQLbF3V3ywdHKZZSU6lNRsJkPUHRD1zkNk7ojcrMlBB0RcVN3SAaF9v9wCV0tq1sll1okhMkqXaECV2uHEaUCkLyJzdZn1Eu5OoHMCOeEya4Sxka1Yr35uM1Bi8TDyEGXUcOsJcCyjvdyGHSKExH1J09qms8tMY4hEyLlLNI2RfupOgKh7cdcUq9DjvVKQ7kJoy9XaK5GjwRBlgBR7oxO4zN0CAI12kukyI9BYL5rtMrPZh96mg0LNdA0RpbKPmRm6dUDkyIzrC8pmW4l3l1neCNqc0CHKDCQjEixjHKvjZ9EGGiBK9ecMhkgwkmlRtRlgUfJVJGiUJIj0Ejod8hAZerKMDSshPVJdiOcw2qxHG+Qus9x6Wcfq9R2P7zSANUCUVe1e732Uoh6qBWJJf2+GyMvceacZIsfJmkh6uMx08V5m2L25szA1RGZ2WwApUbXaiWS7zKSGqFPpDiPirMNEolPzCZ1FLbO5MUSdw+7T370qfnrmKQioBEQiK7kwExCZC6PYZWeG3XfKQzTnFBK9xfTmw3RwmXUCRLp+IxEuMyfz73roMaC0aMiKMrMAkRlQkPFebQ1R+ghlqZItXVxmMCWFWYERWW6TEncZNsLILCWSEWXWkSGaMx7q4DLTF9wk7hBlpo5vJ0r3OFw220rmnzIiceegIUJGTcasYr3ykea2tKYBUWdRddsWVetJWnmUmR5B+OikxmRqjI9ufpYOkz2IPH42QRJZRZE7WrecZfNkOSDay0zvGLPZVZusTFaUmdrFxR3yEFEADa10gz2ZZAEifQDJiTVjd5AZZdaDIeqdmNF0mWVmbTUYIlNU3ZUhmoWGyFhojF80oKNT+XHSM9rITMw4G5eZmoy7MkSfWIcdGO54HlGqQtR8EqbnpjGBDZHP3+whqjYKD88m8oj06PvddpT6Lxrg1vupyRBpUWYaQyT/blyXR6GJfiGAQkauK8NlZu+qe0WZ0V6iartCumvfqX1y+ZMdbQdkZSsmKHOGqN6OTaFvlsuMJplh97Y7prf1YIgAIG5riRmzNURVDZ8OlbIBkd4/W45K/5GpIbIKNKeSbHZxi+mC4s6iamWpvVeWqFpjiAxAo2++KGP5xPNWmhG+fdVG7cZMtlOYIbA3NqxqHp8NQ6Rv6HtqIa10AXnYfW5pIz3AgGVJJxFrVpQZ1Rki06XT5AxR0XfkpCgsa3ep76ZVrdQMhigrD9GcosxmI6ru8NzCYrOWWZaGSJipIcqeyPSBq7vPOjFEUZJdKNN4JFcHqHNzmXVlYvqWdDwFBZGi6sm6DYhC4zjtAnIyrlEeZdKqZIqqe+YVsu+np8usi6g6S3sCOz1EJ5eZ0hCps2nvvkPYvQmIsqrd2zvmrDbQwUAPHYXlohGFPDuZDdztQ7N0JMplFlvRi+rnXgzRnBe2jHmD3aAGAJPQ0hCJMaz6RK3N3pnrECN9BvuMu/y0uWLKWSB/ztYQ6X3HdnsH3V1Cs6LJNA1RKlN1uki1cJm1aWeGSGiI9I1AOIs8RIboXm934SolWclQM1xmPfNu6d83o4XnHw7lgGivM3Nxm5vuwlyMNKYktlxmDrE6K9UAkStpc2Fulv4giyGymAT23bkzRFkhz4ZZVGtPl1mnsPuMIVhwezNExFpopHXQEM2OIdpFQlS7//TYpXVymelVw22WQzzyGIbYD7UdmQyR6QKbTeTR3Bgi86vZC4QpgNevpN5tg/d9/V06RHeZmbqLNjL6mBRVa1FmILNgiCxhaVeGKB1l1g18GMDdIdiGhQCAlsjHZd2O6TKzAVGGW0tPzGgVM56TWW0gTZ8n4siIMsv6bqXF3ln5/7d35vFVVOf//8y9SW72BAghLIEAUTYBA4Iou8pWERAVFdyqVqhVaunXBasibrRUrcWltuqv7lXUFqzWpYILFkTBKOKOIoiCIAKBQEKSO78/bu7cc2bObHfmztzleb9evLiZ9ZmZM+c882wnJwhJ4vsFJaiaOf7+YEwhEmeZqVxmaoXIAMNYMAEaZUMdQyTLCIRjdYj4StV8xmlRLq8wKe0V0HWZ6cUkGbvMRBYi5qPDjkKUJFlmdgtGEAmGt/LYjLsQBVVzWWbRlwH8gCpHZrgGgNysoCb1WD1rNqAePKK9jXZgDkoi37t7afct6rR7CzFEYnkj5GSxc5mFNesBvlPlrFOcyywmd3OLbKoQsR1UTraFSr+c9YVdbqPThqzUnNJaiCJ/5+cEEQ7zim50oN0ll0aWHfgBaN9be35J0B4N4C1ENmOIdAZS3krCyMNYiC7/R61mW5GbI8vQQiSKIVK3ZUGPbyfLTBNUHbQVQ3RT07n4US7Bl3IX/BHaQOucYIB3mcni58dZiAQuM9sxRCorWexAgUgbksOtgdXGdYj2t1qIolbP7GBA6deiCkLw8D5l+/pgCYDGVpmjFiL9OkR8SQCTd9RKuAODpqdhJ+cGuHi1SFC1YFsAo3pV4Gf9O3LW7SaZuSaVcq+Iy/4pcJkJ6xAJ32kbCpGqFl4y2IjIQpRk2K9DxD5CgbmS6bT0JncFZDS0ViXOywkipLEQCRQiYbCqtvMPBAQuM1sxRCLXCf9FKazaKsgy08QQCWIXbMcQWXKZhU1dJwHmeVSUGNQ3iR1E/JuzlBgrRNlSi+IiiQajRtlbH+mA87KDGuUjer93ya0WokN7gE+WtZ5fbLmy5DLjLEqi585YiNQuBk4RZGtAsZZMZnNZq+zy1hbts48OmorF0yztXpKEM42rzmoggwqhhUh/c3aACUoS9qIItzXPwnPh0RFRVftGXGatWYeHW/jsUMZ1wtUhEqbd27UQxX5q7jqTes/XIYoqMDEZ6w7HLESAquSCohDVxU4raie6U3eoSiiYvFtcer/hlswJWNQWIqataYOqY9dxxbheKCsMceubIFZwWPiYJJGFSPChKmh8slnfzZ1UHUNkvLkXkEKUZHABtRbS7vk0Up1YGiYYEWhtx2znLMdcZqGsgMYiFB30Zc4ywne2sQNHif22X4dIoOCwcC+SOoaIya5TBNApzCiKIbJQqZrtPPiOSVsADYjUudGLx1AWMcesam8wR1JsB+WnOug5Jo95+wllibuA6Lx2uWqFiHGZ7TOYEkQjoxWXGTswWijIqXcudrAKitopdBQind/qY1lPu7cSVM0q9+rZ61Wo6xDBuA4Rd0vYgPLWFZLExyAZu8x4OSM/dNLuHQRVa6wQTCyNEkOkI9eBVoUo+kEnyjCs7z4JO+VSPNM8ilsfS7vXsxCpPuwMahABsF2LSdYEVUenIGq9v5xClK2vwLT2f2yMpzKpNaCMBeqPXL2YpJgiLJmHMkQ2ZH6afNCrXWbGW3sCucySDpUWboKum4FzmfEKkaZStSzHXGbMxIBRlIBE5vuN/QoUfhEyL4bdStWmcVQqU6tVC1G0DlEs614rtxULkX4MUfwWIjbYU5l52hCtdUtzbJOvWEBfIYqSnxNUyR4LqpYRwP6Ox6Fo+xrx+e2WkDBLuxelfsdWxn7quMy4diJQiKLXdf3kvshdIWnMFdHdY1N3iCZ35a0O9lxm4k1iF6BymclBy3WI9CxPwYCEcGtQeTbjMjt0uAVNOeL3MGYhYucyc5BlxgYvqxUJxnXEZZlJ2n0PNEWuIzr9Cl+lPLJMzivFsMZ7EEYA/URuf73Z7qF2mZlZiAxXR2C0IE1Po6643/p/iyxpJwEWKDBssgcXQxQWK0Tcn9wHK2shEnxwG2CaZcbFglq8ZwmGLERJhm6QtKXtBfuGW5QXT2bNparWd4jJMlNnlYliiPhaPCLJnFiITF48o+BaYQyRnoVIrBApWWY6dYjUwaoKWWILkZUYIphZErRCKD91g6p17vM+KVaoMTqZaZToYBL7O6hRuNjr/2bSE9DLLGOfjaW0e7PilCoTO4eOy0zPmid2mUX+v2hEd0w6qkKw3oqFiB8o7WSZhU0sPlqXmXGqMnvtel4s9p5kZ0mKC/Xg4WY0WckyE9Rfsm8giu3Qv3OpSkDWQmQ8dUc0hihPZCGKvvKIPZMsWxYi1Yed20HVehaiFt5C1MTOR6mcTDvdCHt2zmXW+rzU8nHtSDeo2txCpP54MkSTNeq/RkQKUdJhwwcLtc9WUIU13KxxmWk7Rz7LTF13SBRDFBB9Xel8DWuVFqdp9waWAqMYIlkdQxSDnbpDZCHiVA5dC1FIuJE2y8zYUmBtRGEHMp1BV+c+72cUIvV8VqV5fEefHVRnl/BuFimYBRR1FMoFU2WAx05hRs3s2DodOreYu6/6FiIA3NQeagyn7lAXT5T5e6dBVQ/MMPxGoGwZbW/JQsQsDwUDSkJFQ1MYzVyBVMZlxlWqdiHLjLkvnduo3LCCyZpb2HgTpp1EFaLoNYimF+KSF4KCd06vDhFU74HJR519a4faHKm67hZVLTVTF1dsESd36/PSnaBafTy9oGq9JAlJ3GaEqJIkyEJEaLDkp2W31/k6V5QpkctM9QLIMtDYqhDlMfPgRBHFEPEWIjNXgNELp8X0xdNNOWe2F8QQRQcyo6/wSAxRq4VIJ8uMd8PodJKshUhdqdoklsSuhSiUJf6q1fuKfSDvYgDAQ82TNM+6OI9vc9nBgMbtwykOEoCcfGY9q9QwbcCStZPd3thCZHXqDl0LEds+osu4ZmGkEIkKM2pdRxE5TQYI9XtiQyEyiyGyYiFi+4LsYEBxoR5uCaMpLOhPYKVStc2RzehjIGrta/2oiZ5fVEssKq/iMmMUouiHC/8xw4cNAODbMmMBDEiq2CUbQdX6GBRsVE9BpLYQcd8d2hgi3XYRdZkZtQ3O4hS7b7IllxnzjplllqoLrRpv7QkUQ5Rk2HWZ8Z2J1nSKcFixEEW/7LQdljqGiF8vmgeJUwqEL7+BQmSi6IWys2J9hVlwrTql3zDLLOoy0x4yKmMoK+Yy1I0h0gku54NeY8ubW2TzgdE0pFd/ey4rUC+2gOG9nKGo2X0/9qAIf1HdDHWF35ysgG5QNdDalrJZhUh8nbKVyS5tTO5q6DLj5qjSeVZmWWaC9VGsBlUDFhQi1XM3HBYCWa3bR9plM3RiiKJWAnZXgxiiKNlZAS6m7FCLjoWIq0MUvW4HafdG09ZEB/vmBu78ylbsh0eropqbFXWZaZVh7t0VFJxFDpPQ0BSb4DgSVG0jy4z7bV6pWusy07MQRZabB0HrnKhVIeLyUDRKqPZ4AUniMzt1+nD2vbSddp8EJiKyECUbXOlzm8G1okFBblE692jnrO6w1JWq7brMYg2Zre7LKkQqTCxEZw7tpr0O7uT8i8SvM6hDpBRm1H/xImXvI/eRyzLT+aLiO6Yc4fZNLeZB1bZMzartubpRnIVI/z7vQTGgDkgHkJ+jtRCpY5S4lGIJQA7j5uBktxkPZ9NlxqGjCHLKG3et2kGKNxDpD2LKwCgszMjfc9P53DSxHLqnjaxk2phuMbvWbbiSAxZcZjnBABdT1sBcXkzJYrKtwuFYnRwnlaqN7pEyhQVvIYolRmgtV0ZZZnqZd8rjZvvcw/WcKC02XGb2CzOq0KTdR9oXN9uAcjIdC7EIgctMqxCxyl5szLASQ8RlmdlIu4+dyV9IIUoy7LrMOESF8MLN4iwzFYdb53MKZem7zFgMfdARYfTlNIkhysvRmoD5/e0GVUd+a+sQacnPyYoV4GthrATMAMl2+HwdIm1HAiTIZcZZiLR1RrTyMFuwRi3Vs9VM2xLQVlsOqAdaViHSswxauSZ2gDJ1makfIvveiGvicJZMgcuMbxf6CpGSji5oY+pSB6ZBpmqFSPesrXBz2Om4zALRKWqMTw1oLUTZwVgsx8Fm9gCiwozNurFTtjASVNdC1LqdwJUXdZmx07aIrNjsh19YpABzFiK1QmQw0z3sW8lk9fl1CjMeNg2qNrEQdaqJ7G/ZZRbdRhVDpfuxbsNCxE2mbPIx4BGkECUZditVcwin7mAtRDoviyzjcGthvuygJHCZCSxE3JeWSBadgREw7zzZzsE07V7tMhPEEIWjX1fmFqL8nKAy4L/3zR7hNnpfmcYWIjPlwMLopSNEyKaFiJefl0U9bUt2ljaGiH3eAQm6LjO2crqV2axNi5JqSv3r3DMrMUSmLjMDhchw6g4nLjML1hVG4WrRC6oORhV/83vO3pOcYMT6Fw1Grgtr57SKnheAqjCjk+gLSec3DGKItNsfbJ1bL1dgIVKCqnU+5ISP+zCjEEE9dYedoGoLLjP1ArWFqLWtRfs73aBqnRiiYQ1349ZO9wLlvTX7G7rMELOs8R/rYoWId5kJN2GOwbhZIZNCFA+vvfYazjrrLBx99NEYP348Hn74YYR1gl+jHD58GAsXLsTgwYMxaNAgXH/99WhoaDDcxze4Tt5e+Xc+y8ykDhGDDFmxEGUHA5zvHdCLITIzxxsoRGYtnx2sRC+eajJDXjCRhahVIVIqdeufOpSl44Zg+wK9uBRBRwIAvx13pK3gWrtZZnnZOiZzE0scoFV281QWohwTlxkg6brMdAtG6sJaiOzGEOkpRMxiLobIgYVI6TbliNsIiD+GSLXM1LKgUkyEClTUZWZyqMj5GIWo1aISjSOqk8XB8nzafXQOOwcKEWcdNbcQcbPdM+/5QUSsNtEYIrZtK0HVzKG5oGqRXIyFKKCxEJkpRBbuPluHSC+GKKpot7bXaNvj5x5j7n3rgdSn34F2+DavT+zwRvIFRDFJ1tLuOZeZ/hlaN2Cz+JIjrDqlgqr/+c9/4v7778dFF12E3r17Y8OGDbj88svx9ddf46abbtLdb/bs2Vi5ciX++te/IhgMYvbs2fjqq6/w5JNPeii9NbjpDizEEHEftUKXWaxSdSyGSK0QxdxD2Uyl5ijRgUQWLON/2x0A9WAn1hTcAyZ4WXfCwWhHGW5RjteM2MuthyTpvZbiF527Vzod+/nHV2Hv3u7Ae4LtRPta6RiY4+fnauuGRITTcZnpBYVD6zLLUZv/NC4z8BYi/u7oLBfDFRkVTtli32WmWzPKgYWIC64NNwOBHMZ1xN9z2bbLzFQjYuTQsRAFVPW2oN/mRbEkoewg0NCMOogVXXFQdYJcZoIYIpm1EDFxPvWIWohas8wYl1nUIqIfQyR43ocPcGLZKUzoeGhXgqpb769q+iXdoOrWdi00HJoV0xUdj7lh5tZO9UeQ/ikiQrAKkYXtPSClFKJTTjkF06dPV/4eOHAgtm7dij//+c+6CtHmzZvxyCOP4N///jcmTpwIAPjLX/6CiRMnYsGCBejVq5cnsluGC6p2EENk4DJTvwuSDDQ1RzoEtg5PFFEMEeeKsGshMoPtnET3gBl0dDPYFIUo9gXZbCGGCNAbPMRVurl7paMQSZKENvm54u1iC03W6zP16M7C81pxmamfbZ4qqDqynh+wNFlmOh0ob1iyEijOfrHbdJXatRD1OxVY/zA+DscC+HkDkRULEVrbVw4TXMzfP75OlonpUW8Tbj2jmMh6QdXZ1o4F8YdN1EK0X2bm1BNO7spWqnagEBm5zKL3s9VCFI3fUhRHxooTVT5FdYiifRSrcJp+szUdYraV+LnMTNozp4zqbsVaiFTtTV2YMcxbiHSn7mj9+BX1YbruQvWGagtwK+ZFRvl9TZV7zmWm/cTxg5RymWULZgGXZdnwi//NN9+EJEkYN26csuzEE09ETk4O3njjjUSI6QjTaSuMEBVmFLjMtPdLVixEOUFtpeqgwNxsZ+oO1QrDS4iIw3y9i+4BZyHSU4haTfncLNGt/nWHzmq9+6DXkUT+DOiu0uxrM4aoKFdr4gZg6atdbQ1UW4iyBQFimjpEOgHhulXUdTCvQ8R+Uaq6cZF1FAaK+4RFmHd4Ds45PF+4rZHLTGMhAvQLM9p0mZk+ek2auWCH1sFUT/HnLZza+xN1ne2HNjaMCy7WSbu3jSULUUQh4uZjBLg4nyhRC1FQ8OHCva7MPpw+0uGoyP99p3Lbmlebj2E3/FN/UltxDBH3WrJtLlSsyKuGy/8wamg6H3ZWXOCsRdROW5bgvF92g5SyEKnZuXMn7rnnHpx55pm623z77bdo06YNcnJiVoWsrCyUlZVh27Ztwn0aGxvR2Bgz0dbV1bkntAlCt5cBAcYCwk2mx2aZMSXvhefkYogkTcyQSNM3Lcyom21ks9ELLUR2XGYxhchKDBGgp7LxFp8ovDXN4DrNlANuULDSm+opX2yvF02/VsWpM1ubuszUc51JvFXCOHDX7nNn75HxlC3a2i7i+6frJsjJxz/Do/gj6I6QPM0ihSg6cNkNqta4zExQua7EQdXRLDO9QYvZVOBWi6beczFEzP3gJncVpN3bxqjtB3iXmZIYEl3fJFKItNNXKM+ea5JsH8XclfP/DXzzNnDkRG5b06rj3Fqb/ZxuDBHr+o+1PT7LLAic/XTkXhSUtcqrPQX/EcucWtPWxc/DkkKoo3CKt2XkSRILke8K0cCBA1FfX6+7vm/fvnj++ec1yw8cOIApU6agc+fO+P3vf6+7fzgcFlqWcnJy0NKiDawEgEWLFmHhwoUWpE8E9lxmoeaYssYbKNjAR95lpkYCE0MkcJlFj8vHEDESm1g8zHMsVHBB1QKZmZmms9DMr1MrRC2sy0xQw0OA2djNu4z0dlRbrsw6E4N9Reh9VQssRBJUz4BV6NQuM3WWWVDS7GtsIWKfe/xxUWZp9wGNhUh8DzhPmsmDtWoh4rpudTtTWUrMSw/w74md+jX6QdX6BUjV8NlGkf9DIgsRE6vTwk3d4UIMkaUsM95CpDxYgUIUVehEyQ+WXGb5bYG+U3gJJZWr1OSjxe53n26tNpWFqEVUhwgAek2EGdxHrFH/rBPPaDeGyK7FJwkMRP4rRP/6178Ms8RCIW29h/r6epx88sloaGjAihUrkJ+fL9gzQllZGX766SfN8h9//BFlZWXCfebPn4958+Ypf9fV1aGystLoMlzDroUo1LRXvEJxmYUVBUM7Q3j0pDKamBmv1YOkqJPmg1XNOnq7vYOJCsVYiE7q1Y5fp2MhCuu5FwSYvZi8LqLTSfhlIdKLLdBBrfyGsoOcRUmTYaiqVC1Jkv61mdUVUsEVZjSpP2XoMmN+cy4zUWVi7hisMEZtUEKTHES21KK1RGosRGZB1TZdZszHQrOuhSiaZcYMTjqH4z9sohaiQOvxmeGhtKvyUzi5q6MsMwNLopmF6LD2YzrqMuOqMQuCqtn7Y9blSLDwLNntnY7umrR7VZaZibYrjCEyteorOwt/W4kh4lxmhhKqZKMsswg9evSwtf3Bgwdx8sknY+/evVi5ciXatWtnuP2QIUNw+PBhrF+/HoMHDwYAfPjhhzhw4ACOOeYY4T6hUEioiHkCN6CZDyKhw/tiu7IrhC4zfRM6G0OkjhsR9rmMnG3yBQOvkw7BYNqEyMljFqLjuhXz61hFMByO+d51pnOIUhDKxpLTagCYm7v1Sw4YfOmaKkTWO1vNNmYWIpXPjD26WpnNCUrIDgQUF2pOVgBN3BaS1qqgew/sZZmZz3bPxAZpWrP4HpgH/zOHZ9e3qwa+fEV32xYEkA1GIYg77V59FaYaEfNLpzAj4yoVoff8oz9ZN+nAhr/hvauOR05eqbKMyzLTCSa3h8E9MoshqugPfLOK20VxmQmevd7dFRZmZCWU1C4js7ZkuFqDaWFGdR0ip3GQrIVI4zETW4jsFlq1IyLVIYqDQ4cOYfLkydizZw9WrFihqwwNGjQIS5YsARBRiAYPHozrrrsODQ0NaGxsxHXXXYejjjoKI0aM8FJ8a3ADowWXGWMh4sclJsssGlStnveLobGZTbtXddKChnrwcMwVVV6UKxJA+WXbQmTmZGMH8bDaZcYMwkzhuDBzL0V65lGdSjBlYCdL0rFXo+syU3cYXNFME5eZIwsR+1mcpdlSjdpCpLYQaopyqlxmAY2FKP4OlCs5ISzIafD1qdP2dLPMBHBrx1wDDPkF8POXhNs2scUZmdIOzgszGorIwRcoBDBhEVBQDpx8h+Gx+Bgi9txRC1Hs3u9DIbLbdNGcF0DrB4fLafcaV3PrcZtUClF0u7HXYvfgX2NiYyxsQhRDFH32eoqEmVtfgmSrPVtSWNg6ROp1aguRbBBDZBH99mDN2mrJZca60230+1Ico0QiSCmF6PHHH8frr7+OnTt3YtiwYaiurlb+7d+/X9nu66+/VtxkkiTh2WefxZ49e9CmTRu0adMG27dvx7/+9S8E7KYCeIyVucz2FlYDAHbJJeC6ALYwo0lQdcRlxgZVm3+17joQm+lbXcyvVfjY4c0uQiCPZcK8/YL7Ug03x76sJGMLEYfIs8H+tmIhSrTLTNfNIGgDBqjdo9lBPoYsGJAgy7xsmhginY5S0s3AE2OaYckFYVrrxHXrEAngVucWAyffDnQ7XritcMZ3QKMYyGZuBpslFlgiE2IyC467FPi/L4D2kVIiditVx+oQ8UHpavcLbyFyIe3eyDqqiiHSVNsPFWH/cVfjMznm0lNcZoJnr3tLzL7BJGsKgbKa++1gctewug6RNZeZM8TvraW0e1tR1TECkmzPx5YgfHeZ2eHMM8/E2LFjhesKCmJFxGpra1FSUqL8XVVVhXfeeQc7d+6ELMvo0KFDwmV1BQsD2luD/oSGlbfj/pZTcA1nutDOZaafZcYHVWv8z4KG+uOBRu1Cbh8HFiIzlxlLi4lCFLUQcfEnxojXq5UA7W/D4op2XGaW7pcFC5FO2QYu0FhgIWJdptq0e74OkQTJmuyW3IAxeWWTb7UA1G1EfA84C5GLcR/N7ASvYX2FqMUsM0l1TlMlhrMqSNqPFe4LXfc0wvNF7w874726aj2gE0PkJO3eSNFQxRC1qGOIwBdgBGKVqtlnLwqqZjFVWSS1DcONtsQ+S3UdInFhxmi7c1N3sOoysx9UbU8OiiGySXFxMYqLi0236969u3B5eXm52yK5Dvc1YUEhqi/ohmubLxEcKNphh5UWrxdULQFobGqd3DUY+wKLviiihj25f0c8uXYr+nbUeR6OHMJ2LEQ6WWbRda2DFeuCEXZWnNXDzJKgYyEyDA614zKzojzonVfgMlMdju0A1UHTOVn8XHaaL1FN2r2+LPrKoh6MEm3S9oMIq44vvgeWq/PCXpPlJjhllXJDl5lxu5PVFh8TwggYhhnqKVfs0qA6Hgy8yyxbcALxXGYJcpmZxRBBq7SJYohEafcswkrVKqmsWUigkS8udAozKjLEcXzLMjmwPnMKkXXRIjGB/utDqaUQZQL8GGL+ePisCQaBy0w3ywxAQ3Nkm+jXVlCS0BydF6d1G7axH19dhv/+ZhS6tNHP8IvSt2MJIJ4nVYwdC5FRDBETP8W7zGzIEkWtBLTCKwwGHbuRsgQYuw3MBNI7DzfRo7jDD0i88htxmcVkyQqoYyd4q4Q2hshCQKYeXFC1sUKUrS63oGOq590mxqe384XKW4gYWVQDhR03S0QG64RFFiL2WHp9AwM34a3AQqR2qUpgrsmtLDMjpVGpVN2aZdbqvmWVHfX0MkKXWetvvXffNIZIsqDcsmKz6y2EAGg20RRm5LPM3LSmWE275+Uzn8vMDpL+mTwluYNoMhDOFWDBQsTCWTYC6qBPYPxRHXHnjIHa/SArFqKoi0QUW6D2hR/RoUgcP6TigfPF2Xy62IkhUrvMJObVYuI7OJeZmevE5JTs/roft17GEOl11FbmwgMfMxaQJO6LWxuroBogJbW8eoqaC0HVDFmSqoaYzv1jF4smKWaxoygrrrBwC1+UUfXcTWOIVNhx24VV7kurx9Kbk1BdhwgAsgRaZMxC5FZQtcE9UixEh/hzM6hljFmImMMoMUQ698Q0hkiyF0Nkc3TXrUOkmoKoBdprc0o4bFTTy55CxFeqti5kxELkv0pEFqIkg1M6LEzdoWuT4OYyiwwe0wd1BXrzGSPRczY0tVqIWgdD/svRkui6dC7NM9+IxZaFqEm7LBCMlRtQXGbWLUSmMdc6FgjDjt1OlpndGCJds3aWpcNFriHS7oIBiRtgNPPYSQHVqVXfdg5cZtzkribbayxEOs9Bv0SCFjvtXLEQtTTpptwD+qUudGUw3UIVQ+Tw3WTjqqJuJVYh0kzuC3VAuct1iNRktWawts4rpgmqBpCriiGKyi+y5MZ7uzR7m2aZaXY2Ri+oWlOY0YkNQyyItuSAFYVIrACzR7JzryntnhDCKkRS0N5s91yD4lxmYX6ZgIbmWB0iQFXSv7Vpe5cYacdCpHadIKZ8yGHGQsRO+GlmIbK+Xr8OkXonG0HVjixE2qBqw6uRILAQsTE4qnwuTRCwapmV7BMduMKMjlxmYoXIzGVmr0q0wGUmGCRsK0S2No/P0cB1EyILEVOtXDSxcziRlarVNyC71SXfGMkiDgtcRmoLUdTSYJZlJnPKpXkdIv5ZminX9p6LNqjabHJXW4c3RG0gsuYy03s/4/2QprR7QgCnEFmyEJk02HBYeZl0s44AHG5ViJTOxcJHQnxYOJgVl1mPsZH/j7lQcAptFgwfVG0ioalFRfzb0NRsy2XmwEIkCKo2PIrED4qSxAepiuoQ8Zcs6Spn3J5WenAb7r5sqF1m4k6ctxKYuTmsN3QuhqhFf4JT+wqRve2tDox6x80SxBCxViHtND4Sk3bv0mz3Rtec06oQtVakjt5Pa3kH2mvT6y8NJktQ9rdVqVrnN4dRPxe9n9HJuZU4UDYuMEE4cZlxtcKsy5gsFiJymSUZvEJkaQfx9hLTYSsWInP9V5Rm6zlWFKJzngPqfwSKBCUUWOtYVCGyEUNkBt9f6HV9NhUim8G3uo1DFFRtcrlZKiuBug6R9hQqhYO7Nj0RrYxgTNq9yT3Isegy4+sQmZzeRrNo5lLPowpRjmY7s/IBTnHallllWEm7Z+oQacsuMPZbWVaCnZHloLK/0bPObi2ncvhA67mjio05og8XPtDc+r3TBlWbuczsPZeCkGooZi1uLU3atPs4HrvlfaxYq3VjiOI4H6Ljnv9jD1mIkgxOIbK9r+ALW25hLETmj1sUeOqu5m7FHWZhm0BQrAwBsYFVlpUvWJlzmRkf2uxyA2qFQNnR4AvSLO3equtNtI2uhchaDJo60yjLwEKgJqCJIdJpYzaDqs3i57LQrBrQxDKIkgP0sBVUzVmI9F1mfBCw7RKlWlQfC/G4TvRmu1fPZQboKUSS8isa7Ixsm3GCuqguKGohav2oUxQimwZHZeoOnf3M0+612ZZWz63/gRdb/vDPh/KrWIUoHFOINHO5JQQLfZGjrELB4ZLEQkQKUZLBB1Vb2V7nDyXLLGZu1XeZxc4ptAh4rbnbCaoWEX2zwmILUXyVqrXmd82xjJQa17PM9P7QKhXGqdmSRmlglaCsYMDcu6/jrtJVWPSFUX6aWVaCktXJXa1LEH/avXsuM7s4fTdFyRNsHSJRDJHSHlyzEHHaA78umy/rYSfShK+ornWZ8TFE5iKGZQuWE8G5rXB0ZSm/gLU2chaiaEhDIl1mFlyDunWIxBmeZljoZTyBFKIkgx9CzJuIrsmcyzIzD6qOIlKI3K0Sb+FgThUi1jomsBAJJRAEkauEEu6vP3WHOsvMTOGxqRBZObZOYUb1WXkrAb+9yEKkuX4rJnZL18QEVdv9AtVRTEVxJLpnt2UhirrMmg3jaLhu3sQKEc+QYHXQ0VNNRVl45hYi5ldr9peSDRYXBheRU8D9GT233b5R5DLjjmthtns+ucCNtHuDjQLB2PqWJiXIqcVBpWrL+zipQ6T7QWRySjespy5AClGSYbdh6H6DR11fnMvMukLEHde689nidiY4thCxE9tarFTN7m5yGbpTdBkGVQf11wHWvsr4HcS/bbrMACAY5Dsx/Sw6La5Wqg7oXIclxPvamU7NVlC1LLIQibLMEh1D5Gx/Ln6sVVR2tvt8YZ2xqIUoDEVNcKIQGQ3AOhYiK9fNxxBJ3P9qXM8y49qj3lYmfT07wavKQpRQ95IVa7VuULX4MKanhOw4Hs4NSCFKMuwGVesG+ApdZuLHzZ7TzCLgCXYKM4qIXqcc1nGZOTy8rsvMoGN3O8tMb3uBPEZHkyRViQVJezgjy4WkthBxX4g68lrALO1eK4hYobTjurAjonByV8EgwQ+i7n8FWx1EdD0fosldGZdZXjb/HCKWEsHBHClEBtegUoj0XJAjjygDAMw4JlZnjbN+aZNnOax0OXam7nBl3vCoQiSMIUpgr2zl40y3zILO+29CsrjMKMss2ZDFrhkr8AMQ+wVrPctMnFVkUxBDLPQ8HfoBH/8z/lNwLrOoQmSnDpHxUktTd2gsRDayzOwGVetZiKIxRAbXK0EynO9LtCend0sG59fbSQ92VLI7ougoprYKM8YVQ+RuYUZznAdVs7AesVgdothCtUIkayRoxUkMkaHLTM9CxO9zz9mD8PrnOzG+XyzRgt1CqbbPGW5if1hL9bBuwbTUlsy0sGhMGhtDJHuQZWYpqFr8wRLmYohsfIwkSVA1KURJhsRM3WGlQekaFkSFGS18dSuzQotiL7zKjDz+8ojMR4yLb392Ytuoy4xLuxfuxKwXbcAGu4uVI8OgatMsMweFGa38NkA9fYOduBuNhUh3X3NZ2BKQti1EOp04PwCanN+WhUjgMjOLIUoAjoOqBc+rICf2roim5tFcU1aus68mo31D/OTRsRginpL8bEyr6cwtE1m/2DbJBVVbshBZf7c4V228hkG2OKOmDlECsdKH6LjMvsvvDexu3dXOKSN1123skRhIIUoy7NsJTBqsHI65zGwEVZulocaPhavKCgGjr3JwiqgCx1SqlqzXIbIXQ+SShci2IqPXUrRfsUZHkyS+YKF6utCIy0xfVO0CvbNZsfhYmLYmmBObzkBPBp20e/MYIgsitsLN5xVNuxe6ERLbyTu1EInqEBXlMgqR0GWmwlFANYw/AEKFQPU4YNN/GQmsPSvekmm2g0nAu2x3tnsXnjs7wat6ctdENisHdYhq2/4M73/9A9aFe+ElGzImi4WIYoiSDElmLUQWttcxAXMNOTqAmMQQqa0DKQtXg0kb3xFfHSJmYNVxn1mOIRI7onS21cEkbohbbnK9areJWaq6Rgm3FIRpwdrJ/Na1EJ3/Ar4Kd8T5h6+GRnMTyCBKvdY9v422r1gL3JrgFHFGGMXlBomhnrYFAIpzY9cRNEq7Vw7iUCEyu4jy3spPpVK1haPq1gsTYOX7z2gKGzXWmpKZyyyqEAliiOLopy1bYCxFrOtXqn68ZRw+k7vakjGQgPi6eCALUZLhJP1Q6DIDYjEOZsXuXIkETAK4LLPIl5WblapF2SuRA7My2Ey7t5Lqyu8g/m1FOVGhdpvYcZlpzqMK0I5iVnkaULd9nfN2PRYnHr4DAJDDHVJPIRKK5hhFIQrbmL7CtPifBTSFGR22ZYEFrZCxELW0aGXWKETZTi1EJtcQKtGc20q71LfkarFSh4ivjWXmMuPUe5Oj68BO8OpCpWrLOKhDFC+R2e5dPWRckEKUdLBB1fZaCLc1q/xEi6fpNOLoQKSuWGybZGjRQOyFZlxmpllmOgN5jNhz0Q/Udctl5paFyJrLTF2vRc/wYnAUnd/sUvNrqsvvig/CPVEn50O2a23RuR+ccmfyPtlxE3PzeRkUZkw0Tt840Wz3bD/QrJn5MwEuM7OrCBUx57bhMmOOK0oWYTF79hGXmfV31NpzMdkqGqjOuMxavMgysxRU7W5bl5Doa7IGKURJRmMw9vJbaR+c4sJZiJhHG+2wTV5is2kaUgaByywsmWSZyRasE4LVvD5k9AVp1pnaNWXoKWLm/n/+SiVNrIW2SZndD/E5uSweKwkCgQCmHb4JAPBnu8q1hetOiIWIjSESWIjYmj5mxGNHcGrtVAfUq2kWznrqssvM7BpyY4HVekHVZoc1dZlZOJ4dhcgaJmeN3tfmBiUxJuwghsjyPjrv0jWTegOvt/7RY4x9AQwISBRDRAiorTgNr7YMxpVNl1j8CtJBZA1Sv8StM8Xf3nwmAHG8QErCusxaRJO7muwuXC+2CgX0fDJmZhmjZU4sRKKgaoML1hiyJP4Yon0Ng6p1TmWvuGc87dD8/pkd1U4eQcxC1GIYQ7TqqrHWDxoH1me7Fy83m+ut2YrLrLiTNSH0MHPRMBaisI2pK+zEj5k9exnqoGrj47kyuHMKkazIATi3DBqi8zzmjO4JXPkVcMkbQKca90+bBMOPJQvR+++/j+eff972wQcNGoQpU6bY3i+TaQ7k4pKm3wIAbrCwvX5QtUAhUitJJ9+JaZ+MwgcNkfTOtLEQKVlmMhNUzVSqFnUnNt5GzhAn6a0Rahqtv01cZo5iiAQuM7UoRkcVWojMRNEpzMjtbCWGyB78rbegELlgJejfuQQffbcPkjKBcKz4p8hC1KGYsZ64krnJH8PdtHvt+mOq2vILJMF96vUzRzJwT1J0j1Sp96o9dBHNdq+HFXepnak7LGF2TkUhanTFQmQZo76ooCzyLxGnTRWX2b59+/DZZ5/ZPninTg6/HDIcu+ZwPqg6AKiTZAWBvnWBNgDqI7uYBh7632AtwbnMWrMzJBdnu+eysvQsRAZHcWMuMxsxRGrUzkG1gsd1h5KV5y4+P6+wJNgYbSlo25mVAADuP3cw7ln5JU44XAF8Bgtp94nF6m1VP9MoorR7AHjj/8Zg/ZY9OFVV2wcQtIeSLpptbGEaVB1nDJFurJ9yMNFP8bGguu5Et2cgFkPU3ICohLEsO/t9seU9bE8j5A4pYyEaO3Ysxo5NrOmX0GLNTsB84alXBoKxr1edI7IdoicWIi9affSFDrfoBFWbmbtN1utZQawWV3SjMKNKIqFAkqReq91TlVWmjSGyMvJYyUqxp+TZj41xbiGyQufSPCyaPgBYHp1WwdhlxpOAqTvi2IdV/NTxY1GqygpQVcZPrKrsrz5rrtaCYwuzB5NTGDu3bF0h0K8oL8Cuy8zGnY87czhqIWqKxRApx4zjwVe25at+ByRAEDMPQ0t3AkkCfYhiiFIdwxdD7TYTbMx+FXKTfAqP60KHnrCCjwwm7gzTGCKzw7Mdra55WX0UGy4z27qAsYWooiRPTxINAUnSV/iUZWofnBWXWYKx5DIzs4DaaJuKFVK2nnafANysG2Y1hV9zl5i0eMcIG1zsecoGm2kPZdIWWU+dBdGSIqhaju+8s0f1wHnHVXHLdJ+33XhGl0gGC5Gjq/3666/x+uuvo6mpyS15CAa7QdWaztFCaiRvIUoT/Ziby0w0dYdx72jnxXTNZebIQsQeR9uZ3TuzBsOr2+EfvxgGQOsyU++uFt10sLDUgdq7JkcOgTiDqu2djk27t+gyM0vttiKhpg6R+S5GcIHHFh+R6xYi7uCCe8TIGH9hRjN3qblKZC/t3oXWls3GEPEuM7vM/1kfTcZjbrZOLSEPXWYNue0BAJ+GuyIZbES2e97169fj+uuvR//+/dGnTx+cffbZaN++PWbOnImlS5di//79iZAzI7HyUhmOwZpMM4HLzI5ZOQkarCVYl5kyl5m7hcSi6NYhMrpXrkzuym6u96UXOU+P9oV44uJhOK5nO9Nd1QqR8INd5zzqHbh5o7J5K5VQXNMtjHY278TVi9sV5HB/2zJeKgpRS6wSfDBHf/sEYXXg1dXbmW2sW4hU2wmCnl2FbUc2Yoh0C6gyzBt3JADgtun9TY8n28gys4bJMQQWIjuFKc34fxcMQfuiEO6dOUgllncus3VjHsejzeNw8eHfpo6FSJZlXHbZZaisrMSJJ56ITZs24Xe/+x127dqF7du347///S969OiBm2++GWVlZZg0aRLWrFmTaNnTHrsNxHCg0jlg0OsYIi/gvt6jlaqtuzPsfN3x3iKLHaYbhRn5nW0tN3DmaV1mgmMM6GLkIpG4X7c0zcLH4W7YP/hXBvsIjuKW21AoWYSlc47D2UO72jyR6hxyOFb41A+FyOEry8cQxXkQp5WqWUxdZlELkb2PReG1ycDcE4/AhhvHY+rR2uBxzeacadXOzdLTtM1cZkxQtZJlFjmvG1310O5t8e61J+LkAR35FR5aiA4Vd8cNzT/Hd2ifFJ/bloKqZVmGJEn4+9//jtGjRyM7mx9chgwZgiFDhuCWW27B119/jeXLl+PHH39MiMCEGgNXj8ZlJrIQxZaZWYiCAcl5GJEXnwEBJoZI4DIzwzQ9m7kHui4z22n3DjohEwuRGr5f1xZmVMdoqy0C3doV4KVfj0TbqIXFwN33YMvJeLDlZKzKU6Vvi8R1ZiLSlSF2fP4EPdsXYtH0/vjHu1sB2KtUzcWptbgzl1k8xHPPuKBq5r5ZsRBJULWHYMi+ALaxYqYUbMK6zAz6NnbuNj3sT+5qLp8pWa1WVSbLbFBVW7y1I1uY/RcPZuEDiY4h4nrMJDARWRolAoEA7r77bksH7NGjB37zm984EoqIYC1w0GCl2k1kYiEyV4gCQIu5TIZ4ElQtcpmZdHpxvoy6dYgMLURud0I652LSla1ideqOPh2LxRs5CQ63iaQnqAeVqvlMRqsuM/fbvtO5zPSyzIzgFCI3rUN6MM9TqcNjYTfTGCKbt46P33GhMZnWIYpaiGIxROcf1x3n9D0JWcHEKioxEvsSe9hdWMLyZ/PLL7+M5cuXo6amBjU1Nejfvz9ycz14GTIYS2Zhg7+0xRkFCpENC1EiOvSEIPp6d9NCpDOvmWW3lzh1i/3DWACz401YBOz/Hug4wNrunJVRNbmr3bR7PTedlcOYuOqMdza/f04n+BSeTw4zCpGO0n3EeODL/wJHnWbnDDqoCzPah2+yrNLglQQ24WKIoovMz2unMKMV7ARVc1aneD8ClbT7Q4rLTAoEEq8MWU0OSa1TWcLyKJGbm4va2lo8+uijOHjwIILBIPr06aMoSDU1NTj66KNRWlqaQHEJNYappWolQNDi2EVsDFEStM34ERRmtOMys4OulcIwUkd0IBf99sdd6mh39uyWBhILc5l5ag73YOoOkVtW+aJXM3Np5Cs/AdYUq/fVWt2eOCxEXiCMITLH1EJkU0+RbbjMSvKZMh/x3i8uhki2dN5Uw9FHUAKwPEqMGTMG77zzDlpaWvD555+jtrZW+ffiiy/ip59+AgD07dsX06dPx1VXXYWiIvsmeyKG46BqTRq99oB2YohcwYuBkXOZRRSionzzLCdldxsvpuXZ7i2cVfzb7r7OUX+1rQn3tX5+IwU9Thmc7tylTR627TmEMb3aOzio+hxMULWZy0ySLClDlsZn1UZOX1kr7lGtCF4PXKyFyPq53bY+hB2933GQ3xp3d3A3Y+334t47cd87OJX/+pD92e6DwSD69u2Lvn37YtasWcryLVu2oLa2FmvXrsXSpUuxdOlS1NbWIj8/3+BohBGWPs7Z35ocavMYIlZnMq9DlAQt1gpcSnTk671rWQmuO7kaHUsspH+bucziCap2etJE7QtoPa2qvzbIPTGl8WYUlFfhH8L9LaS8WxHD9gcAswMXKcy34xW/HY39Dc0oKzQOALZVmFGoECVvYUbduHsd95kRnjvOuRgiOwqRex97sr3W4Q6FFZH/9+8Ailozwby2ECVYS3EaA+c2rt3dbt26Ydq0aVi0aBE+/vhjVFVV4ZFHHnHr8BmD3Q7KVlC1aBOvLUReBFWzVYSVonlZuHhkD22KqYKJZYONY+AUIvExNAdpU2Uss6PPWWfPTePcE1h5Nsg9sTfQRucAYkXQkZHHwb7q+xfKCpoqQ/bPIcoy8yLt3t33x+6AJEmSak4vr63Kdqy37G/ncnJZZgmYqFdDUYfI/wd+iE3d4bnLLMExROzvJNCNLFmIWlpaMGTIEEydOhXTpk3DwIEDhdvt2bMHL774IpYvX462bdvi008/dVVYAPjuu+/w2GOP4bPPPkN5eTnOOussDBo0yHCfCy+8EHV1ddyyGTNmYMaMGa7L5xQ+JdYcwyh9SzFEHitEXiCYy8zOtAqmk4Cy21oNpC6tBC54Ecgt1T1r3Ljck9jO/IijKKJwGyvnAnDKwE7494ffY87onuby2CCuwoy2ssySj/iajp8xRNYJCBR7/rj2xPDcVVjYqhC1HAb2fBP57bUC6mlQtf/jjyWFKBgM4je/+Q2WL1+O22+/HWVlZYpy1LVrV7z44otYtmwZVq1ahaOOOgpTp07F2Wef7bq7bOXKlbjkkktwxhlnYOzYsdiwYQOGDRuGBx54AOeff77ufs8//zzOPfdcDB8+XFnWt69ZXIT/2M7M0Xzq26tU7Yn50pNzsEHV9rPMhFgZLc2Uo6oR1va1jcsKke1gaPF184qVezLeOWMgfjGyO47qpFMgMl6FyM7GnMvMvzpETnH8VFy3+BprLtFfVs7KHsmNoOr4Y4h0TjRmPvDGIqDmHPH6rBBQUA7U7wQOttb189xllug6RO5YlN3C8ihx7rnn4txzz0VjYyNWrlyJ5cuXY+bMmfjxxx8xevRonHrqqXj44YdRWVmZMGH79++PTz75BDk5/JfYggULDBUiADj22GNx+umnJ0y2RGBXY9YMOuqYIFEMEbMsbSpVBwSTu9oYrMxjiPR6UgdfVm7NX+bC7o4sRC5ljRhdUnYwgAFdSvmFBjFEVrGXZcbGqflXqdoqSfDxbRHjucziJSldZqOvBnpPBtr31t/m6LOB//059ne6ucw89r6aYfuzORQKYdKkSZg0aRL+8pe/4ODBgygoKEiEbBrat9dmiXTp0gV79uwx3feRRx7BCy+8gG7dumHGjBm6br+UwzCGyEqlauY35/lIgtYZL5w7IzrbvUlTl0y+VCyZ6+KLdYhve7f21Soutv36Fno127fPNkZT1iYAO1lmFolnclfHOA7ITw2rctCFY7ge/ShJQMVRxttUjeQVIs+zzDyMIUoCG5FldXPVqlW4//77sW3bNmWZJEmeKUMiGhoa8MADD2DChAmG25WXl2Pw4ME46aSTsGPHDgwZMsQw4LuxsRF1dXXcv2TFcPCyGUPk+CsqWZQokctMz0LUe3Lk/+Mui+0e72W4Nv2Gk32do+fq0j2LjqvQmVhOYqri/YqOJ8tMTmmXWUoYhV1wgbphWAnHm4OUUxj/SYvU84x5/cASfL5UtRCFQiE89dRTmDt3Lvr27YvJkydj8uTJGDp0KAKm6dr6nHvuuTh06JDu+u7du+OPf/yjZnk4HMaFF16IvXv34q677jI8x//+9z+0adMGAHDBBRegU6dOuPzyy3HmmWcKq20vWrQICxcutHchPmFoydF8sSZBDJEXBATxHXpB1TMeA+p3xTI69GC+zPWHTSdKjZMeO5ExRLHlutdtpVK1zfM6wpOg6lalO9WDqm3e88R3EYITcM8zPjuN075NluMIqj77aeC1BcCpf43/xMWd+L+9cJl5GVSdqjFEQ4cOxRtvvIG9e/fi5ZdfxgsvvIDJkycjGAxi0qRJmDx5MiZMmGC7GONpp52G5uZm3fWiyteyLGP27NlYsWIFXn/9dXTq1Em7I0NUGYoybdo03HLLLfjss89w9NFHa7afP38+5s2bp/xdV1eX0NgoFvu1WAz2VXfQIgsRc4SU+Fq0guIyY2KI9EoQBAICZSjOG+FX6nwCLUQW9xDuLOlskhC8jiFKgMvMLs/OOc7ytnqKj91nnfiqGaITiPote7g+dYcVek2M/HNCqJj/2+uP1kQHVTuJMkgAtmOISktLcdZZZ+Gss85CS0sL1qxZgxdeeAE33ngjZs2ahZEjR2Ly5Mk49dRT0a1bN9PjTZs2zdb5ZVnGnDlz8Pzzz2PlypVxZYvt27cPQCR7TkQoFEIo5MUszlqcdDiaTi/LvDoua9wzmhHaEl7UGLKCpJ26w3FQtTVTic7veE9qeWcH+5oEVVsJsNab7d6Bdu/sdngdQ+SlyyzW+I6pauv4aHbvVHV5IdZvMY/ZdBUXFFzXg6q9QjNBd5oFVXO//deIHN3dYDCIESNG4Pe//z02btyIzz//HNOmTcPLL78sdHO5waWXXoply5Zh5cqV6Nevn3Cb888/H0uXLgUArF+/Hh999JGyrr6+Hrfddht69uypu38qYfieZ5m7zGzFEKWKS000z5StOkRx4ihTLHmyzNg7YCm43sJnnqedXZz3w1YtYna+vOZolpk/H1GW0Lkldm/VkrNrMO1o1iLv9nMVucxYq6P1Z6Q7CXOc8BYijz7+JInvuzxRiDx0mZnVivIYyxai9957D++//74y031ennYKhKqqKlx22WW47LLLBEdwzpNPPon7778fNTU1WLBgAbfu0UcfVeoeLV++HN27dwcAFBYW4oILLsChQ4fQsWNHvP/+++jSpQuWLVvmKPYpWTCsQ6TuoE3S7lkDURK0zfhRXGbNkQELsGkhil39ux1nYuj2J4EJtyrLdAfONHSZsW2iIKRX+dzcZebEFWwNj62T0TZ2uD7WxkLJO3djTWUpXtywXbM8lGVezZ6lc2ke7jqrBrjRJcGs4IISIDJ+228xPvWKwexYcojnMiRaIfLqTNawrBBt3boV8+bNU2a67927t2ame3WsjtsMGzYMzzzzjHBddnZswHv00UdRXV0NAOjVqxdWr16Njz/+GN9++y26deuGPn36pHZaOYPhGKyZfds4qNq0UnWqzLQcdZlFv9yBuAszvtltLobOXAAUVdjb0a770MeCHIZp95Cw5Owa3Pf6JvzhtAEWDhZ/G/H7jbQXQ9Qq7aFW95EUBHL8y7jV47V5o7Hmqx9x1tCuuOVF7cwBk/pX4LF32uCYqsT23c5w3jJSOmHEcwsRg4f3LRnGZMujxGmnnYZTTz1VM9P9Sy+9hN27dwOIWIiOP/54TJ8+HdOnT3f9Anv06IEePXqYbjdlyhTub0mScNRRR+Goo0xqPqQ42hgiexYi0+c16xng6XOAn92uI4D/DRpATI5osCtgSyHiLRsBjTKkX5fRwfUHgkD1OKBhL9BWZ0oKtzAZ+dW62ZSBnTBloEHigoXaQ7btZT5E+9qrVN2qdB/8KfJ/bknytH+G6vJCVJfzad9sPxHKCuK5Xx7vtVj2cEEJED2a5HtaOrBxREmuEDkqxhr3nu5h67M5EAigT58+6NOnD2bOnKks37p1q6IgrV27Fueeey4eeughvPDCC2nhlvKShGaZCWOIYr9NY6qrRgBXbU7Kjl9INH4IcLdSte6ODtv6rGesCZBgHKXCOpA9Gb4QLRN91lELUa7ONCL2Dmq+iSuKn4vuRY8LM9o5G5d4mEptSw3bd8VxHfa99/7cq2R4RK5oK127dsVJJ52Ebt264eSTT8bmzZvx3Xff4emnn3bj8IQRhkHV9ixElqq5JkOrNSMqY5gp5xDn5K6iy80J6r02Du+NJHk+wAj+dFhwW3xvEj8guaAoxJN276JCdFBO4qBsP/Fibrpkxs+gag9J+SwzAHj33XdxySWXoGPHjrjwwgvxwQcfoEOHDvj5z3+O9evXuyFjRmE79MToa16Tdm8cQ+TNV5SH54i6zKSAdl43o71NXD2TB3bEkKo2uPyEav0dkxkzlxn3253gcCtHcaKHuYEty4kyMLXu40Aheq7z1fgg3AN/bD4z7mOkDULfVmJagyOFycsSI0HGkZMqfUw8JMGlxRVp+tNPP+Gxxx7DQw89hI8++gg1NTW44YYbcPDgQWzduhUAMGPGDGzZssVVYQkthrG4Fgoz8llmXrRIDzoSdQyRDeuQ7rEYQllBPDNHFHeRBG+0CzhKhfWrw3ZjgLI1uasqO8uBQrSu3Sn47Vfeza2YDF/iuiRLLTMV+hM6ewDXfyXxs3NIMuh6lhUiWZaxYsUKPPjgg1i2bBkqKytx9tlnY+nSpejdOzJb74MPPqgoRJ06dTKtIE24jUlQtUkdItYTlAyNM36iClG0BlF8GWbMkSxunCLxcjYerv0YIj2Xmc3DJHv7U19n9UkenTjZFAavMyJt1CFKUuXKNkEfs8w8JBleect39+9//zumT5+OiooKvPXWW/jyyy9x0003KcoQ4Q+GjciShYj9nQxN0gXUFqKgPYUo7gz4VLl/qoHCyFVqzY3qjrPL79tnL8tM1XX2+lnc550+qDMAoHeFN3WMXA2qdhsv07w9O5ND2A86r+cy85BkCHy3PFJ07hx5ad944w106tQJFRUV6Nq1a8IEI6xh6N5QxxAJGhw/+DttkP436AhqC5E9lxl3T21dE7ttEg86Koyu0DULUeInM4t7zxN7l2PFZztx/vFV1ndST2ibH/80GkOq2uKtK8eiQ0kaBVUfORH44uXI/y5ix0JkRsq8oQ6zzFKFZLgyy+rmhAkTsH37dsydOxfLli1DVVUVRo4cifvuuw8//vhjImXMKJy4FrRB1eYdbEDHZZY4PMyi8nSOKaRlZ+VaDJHNBEbb53XgHnngvGNQe/04HF1Zan0nViHKb6c/ebBFurbLt1Y1+pgLI//3PNHR+RLO9Adi/+yQLm4uN/GzMKOHJEP3aevuFhQU4MILL8Tq1auxceNGDBkyBAsWLEDHjh0xadIkrFixIlFyEjpwzgp1i+KmEhC3Nu+Dqr3AWVA1f0/t7Jh+nZUly46jPH3/CQQktCmwOVM9+6wL2rsrkBEnLgDOeQ4487G4D+GqtU7vBcktBgbMiPyfBow6Uv2Mvcwyc6YQxVG5yPYebpAMwf5x9+B9+/bFnXfeie+++w5PPPEEWlpalAlVifhxNtu9inZsWrj4wO66zKzgYZZZdP4fm1/v8VdY9v+FjgfDx+5aHSKbh0n2e8m2KQfuMttk5UQCuJNwmhBXMGkodlqFm8amAV1K8dKvR7p3QDtwSSFJ/l44IBm+x+NPv2klJycHM2bMUNLsN23a5IZchEUMG1GbKtP9bRdmTCXidJmZFWbU3zHN7h+8Tbt3pgT5NLkr4J1L1iWSOqjaIlaa2bi+HVBeFMKgrm1cOWefjqy1y8N33essszTsx6ziWCFi6datG7p16+bmIQlTDAbvQDCSacbO6aXeRBL/TtwL78XL5jSomv0db1B16mAktX03qnh7+8HZdnfwGHZgkpzFDxGJoSCUhTXzTzSfkiguPFQq0ziGKO7whARhSSF6++238fDDD9s++MiRI3H++efb3o+wDu/eEbUo41bGxRAlpufwHodp947Pm0bYV2R0FCIL98bR7es3HXjrj0D3UQ4OYgNWCXJQ58oP3HVHutzmS939oA6mQ5/GTe6aBtejQzK4yS29yTk5OSgtLbV98Pz8fNv7ZDquTu5q6XxpHFTd3Bj5P2gvnTnuu5Ci98+4DpHtgzkTJl5ChcCvN3h3fm5WZLIQOebcZcDmt4Cacw03czPt3hEdvassnjFp90lwaZYUoqFDh2Lo0KGJloXwAX2XWQoTfbOaD0X+t1B+gN9fe6hMxdpXmwXrj+3zxoGXD4t1XaSIQnTG4C54Zv02zD2x2nxjr+k5NvIv2bn8fWDft0CnGu/OmcYuM5Zk6GpTy9ZLaDB1RZisT+u0+6aGyP+aSW7N9paEvzORtGkSbsO5MVJDIfr9aQNw8cgeOLJDod+iJAV5OXE8t3Y9I/+8JJgpWWb+X1v6qpspiv3Z7pnfcbQnzkKULiYiJYao1WVm00LkqEBgCuJJmLtdV3Cy3/gUtBAFAxJ6VRS5e2+T/TkJuPXUozCwSwnmjTvSb1Gs4bWFqKAs8ecQkAwtiSxEKY7TOkJ8DJH4uKmHSnibFiKDI6UlRs/a2lRmVlxmVoKqU+hup3BQdSrjRgzRrGO7YdaxKZQN7XXafffRwPFzgQ79En8uhmR4/R2/ybIs45VXXsEHH3yAgwcPoqqqCtOnT48rCJuwD+/eEW9huD8XQ5QELdIN1Jdh22VGRLHkMuxwVOT/oo4unjfJ4Qap1LAQpRMZNcNHwOOgakkCxt+c+PNoTuv/W+9I3WxpacGECROwcOFCNDQ0ID8/H2+++SZ69+6NjRs3uiUjYZH4XGZpmHavsRDZdZm5cB/SpMe2dCty8oFrtwNXfOToOCnV+lg3WYq4zIgUJejxbPcZjCML0bp167Bjxw588MEHCARiD+qPf/wj7rvvPtx3332OBcw0nEzuGg+uZpklgYYvhCxEhoyoLsNrn+4UPn/L9yInw0pssG6yjFaIMu1t8YEMyTJLBhwpRIFAAM3NzQiHw5xC1NjYiGAwkzsJfxC6N8zmBkrHLDP1dTgIqs4EzhnWDaX5OTimqo1mnZdm7JQKZmcHKYohIhIJNzVMsr8YqY2jN3nw4MGorq7GoEGDcOKJJyI3Nxeff/451qxZgzfeeMMlEQkjnA4irs5lVnks8PUbzo7hCu4FVWcCWcEAptV0Fq5zq/tNegXHLqwSRDFEnpE0hRm9hG1fSW4hOmVgJzz2zhZ0a5eaFmPHFqLnn38eb731Fj788EMcOnQIM2bMwGOPPYaCgjSdjTmJiSeo2tXMshHzgNxS4IhxDg/kEKcWIvoKU/BLkUn6ZxAklxnhEQF23rzkfi+Gdm+LFb8djU4leX6LEheu2HpHjRqFUaNicwg1NjZi7969lGkWB/brECWmMGNcr112LnDcpY7kcQfVObJtvpyp5LpJMG65zCyl3Se7EsRCMUQRMv0F8QIpteYy69k+dQt/JsT+9tJLL+GCCy5IxKEJFdz7Ece7wu7vyUSIXmRfUQwRkWgClHZPeETAmcssGdLZUwVHFqIvvvgCS5cu1Sz/9NNPnRw2o3GSZRbPFzZnFUqb98a9GKI0yZ7n8OOSLKXdp5JljoshSnZh04doDFFG3XKHMUTJfKu6tk2uWCNHFqJPPvkETz75pFuyEHHAFWYUtnzrMURpm2VWWG5vd1eESENNygFp0rJisDFE6ag1E8lDIH3nMisvzsWyXw3Ha/NG+y0KABdiiI488khcd9113LJly5bh4YcfdnpowibxvCpsMUZPXGaewFxHcWeg+xh7e6eLYqhDKlxd0stIqfaEV3BB1cmdZRYPR1eW+i2CgqO3esSIEaiurtYsnzhxIkaOHOnk0IRFnI7denOZJQyvSs9HaduD71Cs7K5zKJtCxLtjwvHHZWYlqDqFYGOIMtoamFJPLTVJobT7VMeRQlRWVoayMu3MuLm5ucjNpdovXiMcdEyzzMT7J0xv8dq9UFRhe5c0NxClBsn+DFgLkRz2T44MI9mbRUKgeDXPsK0QffPNN1i3bp1wnSRJKC4uRk1NjVBRIsxxoi/E86qwMUiOCzMmDcx1xKEQuUPyWg38eMpWzplSzY+1OlIMkWdkZGFGh1lmhHVsK0Rvv/025syZg/r6egBAYWEh6uvrIcsyQqEQWlpaAAC/+93vcOONN7oqLKGF7Yvjq1TN/E6Xd429EQX2AqqBFKuHEwfJmmVGEIQAcpl5hu27O2PGDPTp0wc33XQT9uzZg/379+PQoUN4/PHHUV5eji+++ALPPfccbr/9drz11luJkBlr1qzBkiVL8OCDD+LLL7+0tM+XX36Ju+++G0uWLMHnn3+eELncwMnA4Tzt3uP4nsSdJPaTmwfI4t40ePsEWxg0hR5CJluIfHpZurRJrnTthMIV/kyh9yIFsa0QvfPOOyguLsb111+vVKIOhUKYNWsWzjnnHDz77LOYMmUKLrnkEqxcudJVYRsaGjBy5EjMnz8fmzdvxooVKzBgwAAsWrTIcL+lS5eif//++N///oe1a9di4MCBeOyxx1yVzS/M+yOzyV1jv9PGZea0WiXhOumduZfBCpHH9OtUjJun9sPQ7m39FsU7AqlVqTqVse0y27p1K/LyxFMh5OXlYevWrQCALl26YMeOHc6kUyFJEpYsWYKamhpl2ZIlS3DllVfiN7/5jTCQu76+HnPmzMF1112nlAfo378/LrvsMkydOhXFxcWuyugrDid39aQOkSdf02ykeDyVXV0QgdKyHZFS/X4mW4g8piQvG+ceV+W3GN6SYlN3pDK2R4vBgwfjv//9Lx577DGEw7Hsiv/9739YsmQJhgwZAgBYtRch+oAAACZHSURBVGoVN7+ZG4RCIU4Zii7Lzs5GQCcAZuXKldizZw8uuugiZdlFF12E/fv349VXX3VVPr+JK4aIuW3pU4bIx5LHw68AOtUAR53m7XnTgNTt60khIhIIfVx5hu073adPH/zxj3/E7Nmz8etf/xqdO3fG7t27sWPHDlx00UU455xz8MMPP2DIkCGYPHlyImTGiy++iPfffx9bt27F6tWr8cQTTyAnJ0e47WeffYbCwkJ07NhRWda+fXu0adMGn332mXCfxsZGNDY2Kn/X1dW5ewEJIo5C1byFKOBBDEcKjHqOrn3cQvcEMYKsEslDRj+L5H+fU55MnjzYY+JSPefOnYsZM2bglVdewbZt29C+fXuMGDECffv2BQB06NAB1157raVjLV68GIcPH9ZdX1FRgYsvvphb1tTUhEOHDmHv3r3Ys2cPdu3apbv/gQMHUFJSolleWlqKAwcOCPdZtGgRFi70aGBLOGYxRB67zLzAoYUoXW5DqpG6kV+ZrBARCYcyyzwjbltcRUUFzj//fMcCqK0xovVqpk2bhmnTpgEAnnrqKZxzzjkYM2aMsGp2QUGB0MKzb98+FBQUCM85f/58zJs3T/m7rq4OlZWVZpfiO/EErrJusqxgag1D+jgbWlPiLpDWljxktIXIYzLxXpOFyDPiUojq6upw66234rnnnsO3336L8vJyjB49GrfccguqqqpsHev666+PRwSFk046CS0tLdi4caNQIerVqxf279+PH374AR06dAAA7N69G3v27EGvXr2ExwyFQgiFQo7k8gOxy8zEQsTsVVaQetdsCn1dpQx8pfRUUvgycJAmvKOgvd8SZAy2R4twOIxx48bh2WefxcUXX4xHHnkEV199NTZv3owhQ4bghx9+SIScAICvvvpKY+155ZVXIEkS+vTpoyxjayCdeOKJKCkp4Sabffjhh5Gfn4/x48cnTFY/iGcMqW9sVn6XF6eJQuTYZZZKgzHhO5lotYhC70riqegPnLgAOPWvfkuS9ti2EL311lvYvn07NmzYoNQhAoBLL70UkyZNwt///ndcc801bsqosGPHDkyZMgVDhw5F586d8fnnn+PFF1/ETTfdxFl7brnlFlxxxRUYNWoUCgsLcc899+Diiy/Gp59+imAwiCeeeAL33nsvJ386EE8w8K4DMZdkbna6mGYzwGWW5qTUOJtSwqY6Gap8jpxnvg3hGNsK0ZYtWzBs2DCNMhEIBDBhwgRs2rTJLdk0DB8+HKtXr8YLL7yALVu2YNKkSbjjjjvQtWtXbrsrr7wSxx13nPL3Oeecg5qaGrz44ouQZRnvvvsuBgwYkDA5ndAmX5wtFz/GnfW+Q00uny8JoKBqR8g+WTxS7raPvhpY/wgw8rd+S0IQhAvYVoi6deuGtWvXoq6ujitqKMsyXn31VYwZM8ZN+TSUlJRg1qxZhtv87ne/0yzr168f+vXrlyixXOOcYd3w4bZ9OKG3fb9xPAP5ecd1w9J13+LMIXzQeGorBQ4tRGwsS+oN04RXjL0WGDM/1V8WIs2h5mkd2wrRqFGjUFFRgSFDhuCiiy5Ct27d8OOPP+Lpp5/Gp59+ysXqEPbJzQ7i7rNrzDd0iS5t8rH+unEIpk1VRqgsRBRUnSpwj80/MeyR8aNNpl8/kU7YVogCgQBeffVV3HbbbfjrX/+qZJmNGTMGjz76KCoqKhIhJ2EBYd9socMWKUPFudnYvq/BBan8wL1K1XKmxiwQRDKSyQHsRMKJK+2+pKQEf/jDH/CHP/zBbXkIB7jp3rlnZg1+/dQHuOKkI1w7pmfQ5K6OSIYsuyQQgSCIDIMmSSGEHNGhCP/59Ui/xYgTH+cyI+KGHhVBEH5iKcDiscceQ2lpqaV/c+fOTbTMhA7iASUDRxkXY4iSNqi616TI/yHttDTpQZLed4KHHhORRliyEI0cORIPPvigpQN2797dkUBE/KRG3+S1lKlxV2zTYwzwi5VAm/R535JW+SSSCIohsgu9V9axpBBVVVXZnpKD8J5kiP0wx4sOLUNcZp0H+y0BQXhDcWeg7jugzyl+S0KkMRRDlO6ks0KgRyZeczqQIXosEQez3wK+fRc4Ir2mWyKSC1KI0gjxGJKJIwuNrEZQ5jLhHh69XwVlQO+feXMuImOhqnVpBI39rVBhxpSHmjJBEF5Do0WKk8UUVRTGECWdluSFPFSHyAizJkFzmREEkYmQyyzF6V5WgOmDOidgUtgUxuHkrukOucwIIv05ZWAn/PvD7zF7dA+/RUkZSCFKcSRJwp0zjvZbDBt4PRqTQpQqcJPqkiKbGtBzSlruOGMgLhrRHf07p2utMvchhSjtycAOy0ULUTr29+l4TQRB8ORkBXB0ZanfYqQUFENEeIzHMUQOg6rT0b2UrNdEkV8EQfgJKUREmkNDK0EQBGEOKUTpTib6RyioOuWhx5Yq0IMi0gdSiIg0hJwvqQgpQQRB+AkpRET6QUHVBEEQhE1IISLSEKpUnYqws3LTDN0EQXgNjRZpTwYOLBK5zAiCIAh7kEJEpCGS8Gc8JGuKerpDrsoUgR4UkUaQQpTuZGKHRRYiR/hVJToTmypBEMkDKURpTyaOMhRU7QS/JnclCILwE1KIiPRDoqDqVCQDdU+CIJIIGi2INIeGWYJIHPR+EekDKUTpTib6fFx0mWUi5cW5/pyYHhtBED5Cs90T3uLFSEdB1Y64aER3fL2rHuP6dvBbFIIgCM8ghYjwFk8CdimGyAm52UHcMWOgrzJQYUaCILyGRou0JwMHFprcNSUhJSgFKe/jtwQE4RpkISLSEHKZEURCueQNYP0jwNjf+S0JQbgGKUSEt3gSQ+Tx+QhXIMNeCtGpJvKPINIIcpmlOxk5sJCFiCAIgrBHSlqI9u7diw0bNiA/Px9HHXUUcnON04RfffVVHD58mFt25JFH4sgjj0ykmIQIL4KqqTBjykMWIoIgvCalFKKmpiZcccUV+Ne//oVevXphx44d2L17N/72t79h2rRpuvvNnDkTXbt2RadOnbhlpBClK+R7SUXoSREE4ScppxANGTIES5YsQTAYBABcffXVOO+887Bnzx5lmYirrroKZ511lleiJhGZPsxk+vVrkZH8c5VRxhlBEF6TUv6E/Px8XHDBBZziU1NTg/r6ejQ0NBju+8033+C1117Dl19+SZNX+onXhRlpXE0ZJLLmEQThIyllIYqyYcMGbNmyBVu3bsWdd96J2267DQUFBYb73HvvvejZsyc2bNiAI444Ak888QSqq6uF2zY2NqKxsVH5u66uzlX5PSUjBxkKqjaCrC8EQRBafFeIXn75ZTQ3N+uuLykpwciRI7llb775Jl566SVs2rQJRUVFGD58uOE57r//fpx++ukAIsrNKaecgjPPPBPr1q0TfpUuWrQICxcujONqkpEkG/woqNp3ktVlRmn3BEH4ie8K0UMPPYRDhw7pru/Ro4dGIbr88stx+eWXAwBuueUWTJw4EV999RU6dBDPvRRVhgCguLgYN9xwA0466SRs2bIFVVVVmu3nz5+PefPmKX/X1dWhsrLSzmURvkIjK0EQBGEP3xWiZ555xtH+s2fPxvXXX4+1a9diypQplvZp06YNAGDHjh1ChSgUCiEUCjmSi9CBJnf1nVRwmSW/hARBpBsp5U/Ys2ePJiD6o48+AgAupf6VV17BF198obvPv//9b4RCIfTt2zfBEicBGWkhIQuREUnrMvNbAIIgMhrfLUR2ePvtt7F48WKcfvrp6Ny5Mz7//HP8+c9/xhlnnIFjjjlG2e7MM8/EFVdcgRtvvBHvvPMObr75ZsyYMQMdO3bEqlWr8Le//Q1/+MMfUFxc7OPVZCilXRN/DrIQEQRBEDZJKYXolFNOQdeuXfH444/jf//7HyoqKvDII49g0qRJ3HYTJ05Uii5OmjQJnTt3xqOPPoo1a9agW7duWLt2LWpqaB4eT7noNWDVHcD4Wzw4mfOg6vKiEHbub8QJvctdkokwg4KqCYLwk5RSiABg4MCBGDhwoOE2Tz31FPf3gAEDcPvttydSrCQmSUaWyiHAzKfMt3MDF0bWt64aiz0HD6NjSZ5LQhEEQRDJTErFEBGEfeJTiHKzg6QMeQ65OgmC8A9SiIg0hHwvBEEQhD1IIUp3MlEhoKDqlCcTmy1BEP5CChGRhlCl6lSElCCCIPyERgsi/aB0JYIgCMImpBClPZmoEGTiNac+5OgkCMJPSCEi0g9uZKWhVc3II9oDAApDKVd1gyAIImFQj0ikIRRDZMSvTzwClW3yMbpXe79F0UUiRZYgCI+h0SLdmf5XIKcI+FkGFaakLDNDcrODmHlsV3QuTa46S6QEEQThJ2QhSnc6Dwau2QoEMkn3paBqgiAIwh6ZNEpmLhmlDKkhhShVILseQRB+kskjJZGuUNo9QRAEYRNSiIg0hIKqUxHSYwmC8BMaLYj0g4KqCYIgCJuQQkSkIWRqSAb6dCyOe1+JFFmCIDyGssyI9IMsREnB+L4dsPi0AejX2ZpiREoQQRB+QgoRkYaQhSgZkCQJM4ZU+i0GQRCEJchlRqQfEgVVpyIUVE0QhJ/QaEGkOTSyEgRBEOaQQkSkH7Ic+02mBoIgCMICpBARBEEQBJHxkEJEpDdkIUpJ6LERBOE1pBARaQjrMqMmniqQEkQQhJ/QaEGkOTTKEgRBEOaQQkSkN2R2SBnYwowSPTeCIDyGFCIizaGBlSAIgjCHFCIivSFLQ0pCT40gCK8hhYhIP2QKqk5FSHclCMJPaLQg0hwaZQmCIAhzSCEi0hCqVJ2K0FxmBEH4CSlERJpDIytBEARhDilERPpBMUQpCZd2T4osQRAeQ6MFkd6Q74UgCIKwQEorRPv27cO2bdtw+PBhS9vv378fdXV1CZaKSC5IIUpFSI8lCMJrUlYh2rNnDwYMGIDKykq8++67httu27YNY8eORbt27dC+fXuMHDkS33zzjTeCEv5CI2vKQI+KIAg/SVmF6OKLL8YJJ5xgadvTTz8dgUAAu3fvxk8//YSCggJMnz4dMhtrQqQnNMoSBEEQFkhJhei+++7Dzp07cc0115huu27dOqxduxaLFi1CUVERCgoKsGjRItTW1mL16tUeSEt4Dym6qYik85sgCMILUk4h2rBhA2666SY8/vjjCAaDptu/++67yM7OxpAhQ5RlNTU1KCgoMHW1ESlKVq7fEhAEQRApRpbfAnz//fcIh8O663NyclBeXg4AOHjwIM466yzccccd6NatGzZt2mR6/F27dqFdu3aa2bPLysqwa9cu4T6NjY1obGxU/qZA7BSj7Ehg8M+BwnK/JSFsIJGJiCAIH/FdIRo7dizq6+t11/fr1w+vvPIKAODqq69GZWUlRo8ejW3btmHHjh0AIkrP7t270a5dO83+gUAAzc3NmuVNTU26FqZFixZh4cKF8VwOkQxIEnDKXX5LQRAEQaQQvitEn3/+ueVtd+zYgY8//hjDhg0DALS0tAAAZs+ejSlTpuDBBx/U7NOlSxf89NNPOHz4MHJycpT9du/ejc6dOwvPM3/+fMybN0/5u66uDpWVlZblJAiCIAgitfBdIbLDM888w/29adMmHHHEEfjnP/+JESNGKMu///57FBYWori4GKNGjUI4HMbKlSsxceJEAMDrr7+OxsZGjBo1SnieUCiEUCiUuAshCEIAVaomCMI/Ui6o2gp9+/bFnXfeCQDo2bMnZs6ciV/96ld44403sGrVKvzqV7/Caaedhr59+/osKUEQBEEQyUBKWYjUZGVloXPnzhprTufOnVFcXKz8/eCDD2LhwoW49NJLIcsyTjnlFIoRIogkg2a7JwjCTySZqhOaUldXh5KSEuzbt49TtAiCcI+vdh3AiXe8CQBYd91JKCsktzVBEM6wM36npcuMIIjUhgxEBEF4DSlEBEEQBEFkPKQQEQRBEASR8ZBCRBBE0qGuLE8QBJFoSCEiCIIgCCLjIYWIIIikg+xDBEF4DSlEBEEQBEFkPCldmDHZaGlpQVNTk99iJJzs7GzdiXEJwg0ohIggCK8hhcgFZFnGjh07sHfvXr9F8YzS0lJUVFRQ8CtBEASRFpBC5AJRZai8vBz5+flprSTIsoyDBw9i586dAICOHTv6LBFBEARBOIcUIoe0tLQoylC7du38FscT8vLyAAA7d+5EeXk5uc8I16HZ7gmC8BoKqnZINGYoPz/fZ0m8JXq9mRAzRRAEQaQ/pBC5RDq7yURk2vUSHkPNiyAIjyGFKMOpr69Hc3Oz32IQBEEQhK+QQpTB/PDDDygsLMRrr73mtygEQRAE4SukEGUwtbW1AICamhqfJSEIHvLIEgThNaQQZTC1tbXo2LEjOnTo4LcoBEEQBOErpBBlMLW1tWQdIpISMhARBOE1VIcoAciyjENNLb6cOy87aDkDrLa2FmeeeWaCJSIIgiCI5IcUogRwqKkFfW94xZdzf3LTBOTnmD/W/fv346uvvuIsRBdccAGeeuopBAIBVFVV4b777sOYMWMSKC1BiKGyDgRBeA25zDKUDz74ALIscwrRmjVrsHbtWuzatQvnnHMOFi9e7KOEBEEQBOEdZCFKAHnZQXxy0wTfzm2F2tpalJSUoHv37gCAuro61NXVYeDAgTh06BC+/fZbDBkyJJGiEgRBEETSQApRApAkyZLbyk9qa2tx9NFHK66J9evX44cffkBubi4OHz6Myy+/HDfeeKO/QhIZCznMCILwGnKZZSjr16/HMccco/y9bt06/N///R/27NmDZcuWYfny5T5KRxAEQRDeQgpRBvL9999j48aNOPnkk5Vl69atw5AhQ5CXl4cpU6agXbt2eOedd3yUkshkKKaaIAivIYUog2hubsbmzZsxZ84cDBs2DKNGjVLWrVu3DoMHD1b+njp1Kv75z3/6ISZBEARBeE5yB7oQrnLrrbfi4YcfxtixY/HAAw8gGIwFYH/yyScIhULK39dddx1aWvyppUQQBEEQXkMKUQaxYMECLFiwQLiOVYYAIBAIIBAgAyLhDxKFVRME4TE04hEEQRAEkfGQQkQQRNJBQdUEQXgNKUQEQRAEQWQ8pBARBEEQBJHxkEJEEARBEETGQwoRQRAEQRAZT8oqRE1NTRgzZgzKysqwdu1aw2179eqFsrIy7h/N5E4QyQsFVRME4TUpW4fo2muvhSRJ2L17N5qamgy33b17NxYtWoRTTz1VWZafn59oEZOe+vp6TJw4EbfeeitXtZogCIIgMo2UVIhefvllLF++HEuXLkVNTY2lfYqKilBWVpZgyVKLDz/8EG+//TY6duzotygEwUGFGQmC8JqUc5nt2LEDF110ER577DEUFhZa3u/qq69Gly5dMHz4cNx7770Ih8MJlDI1qK2tRVFREaqrq/0WhSAIgiB8JaUsROFwGOeeey7mzJmDY489Fps2bbK035gxYzBnzhxUV1dj1apVuOKKK/DFF1/gz3/+s3D7xsZGNDY2Kn/X1dW5In+yUVtbi4EDB0KigA0iyaAmSRCE1/iuEFVVVeHAgQO66/v374/XX38dALB48WIcPHgQ1157ra1zPPvss9z5Ghsbcckll2DhwoUoLS3VbL9o0SIsXLjQ1jk4ZBloOhj//k7Izrc8mtTW1mL48OEJFoggCIIgkh/fFaL169dDlmXd9VlZMRFffvllfPjhh+jQoQMAKG6vyZMnY8qUKXj00UctnXPIkCGQZRlffPEFhg4dqlk/f/58zJs3T/m7rq4OlZWVlo4NIKIM3dbJ+vZucu33QE6B6WZNTU34+OOPcdlll3kgFEEQBEEkN74rRO3atbO87fLly7mMss2bN2Po0KF44oknbGVJffnllwCA9u3bC9eHQiHN7O/pxieffILGxkbLQekEQRAEkc74rhDZoaSkhPt77969yvKioiJlec+ePTF79mxcddVV+M9//oMtW7bg7LPPRmlpKdatW4errroK48aNQ/fu3RMjaHZ+xFLjB9nWygnU1tYiJycH/fr1AwDs3LkTl1xyCbfN3/72N5SXl7suIkEQBEEkGymlEFll9+7dOHgwEsNz/PHHY+XKlTjiiCNQX1+PwsJCzJw5EzfddFPiBJAkS24rP6mtrUW/fv2QnZ0NIGIVu+CCCwAAr732Gqqrq0kZIgiCIDKGlFaIevTogV27dmkCo7/++mvk5uYCAEpLS3H77bfj9ttvx6FDh5CXl+eDpMlHbW0t5y4rKSnBtGnT8NBDD+GMM87A6NGjfZSOIAiCILwl5eoQsQQCAZSVlXGB1wDQtm1bYSVqUoYiHDp0CO+99x7Gjx+vLKuvr8eiRYtw0kknkTJE+ELn0sj7GZCArADl3RME4S0pbSEi4uPOO+9EaWkpfvaznwEA9u3bh1GjRqGiokKZF+6mm27CgAED/BSTyDBys4PYuHACgpJEtbEIgvAcUogyiIcffhiLFi1CQ0MDli5dqgSit7S0aOoudevWzQ8RiQynMERdEkEQ/kC9TwYxcuRIHHfccejZsyfnZmzbti2mTZvmn2AEQRAE4TOkEGUQPXv29FsEgiAIgkhKUjqomiAIgiAIwg1IISIIgiAIIuMhhcgljOZjS0cy7XoJgiCI9IYUIodEKz1HK2NnCtHrjV4/QRAEQaQyFFTtkGAwiNLSUuzcuRMAkJ+fn9Y1VGRZxsGDB7Fz506UlpYiGAz6LRJBEARBOIYUIheoqKgAAEUpygRKS0uV6yYIgiCIVIcUIheQJAkdO3ZEeXk5mpqa/BYn4WRnZ5NliCAIgkgrSCFykWAwSIoCQRAEQaQgFFRNEARBEETGQwoRQRAEQRAZDylEBEEQBEFkPBRDZIFoEcK6ujqfJSEIgiAIwirRcdtKMWFSiCywf/9+AEBlZaXPkhAEQRAEYZf9+/ejpKTEcBtJpjkYTAmHw/j+++9RVFTketHFuro6VFZW4ttvv0VxcbGrxyZi0H32BrrP3kD32TvoXntDou6zLMvYv38/OnXqhEDAOEqILEQWCAQC6NKlS0LPUVxcTC+bB9B99ga6z95A99k76F57QyLus5llKAoFVRMEQRAEkfGQQkQQBEEQRMZDCpHPhEIhLFiwAKFQyG9R0hq6z95A99kb6D57B91rb0iG+0xB1QRBEARBZDxkISIIgiAIIuMhhYggCIIgiIyHFCKCIAiCIDIeUoh8Yt++fZg/fz7Gjh2LadOmYfny5X6LlPIcOHAAf/rTnzBt2jScfPLJuPHGG7Fnzx7Ndh988AHOO+88jB49GhdffDE2bdrkg7TpwVdffYXhw4fjjDPO0Kz77rvvcNlll2HMmDE466yz8Pbbb/sgYerz9ttv4/zzz8cJJ5yA+fPna6YQqq+vx4IFC3DCCSdgypQpWLp0qU+Spi7bt2/H/PnzMXHiREycOBHXXHMNtm/fzm3T0tKCu+++GxMmTMCECRNw9913o6WlxSeJU4Pt27fj5ptvxvDhw7F48WLhNjt37sQVV1yBMWPGYMaMGVi5cmVc27gBKUQ+0NLSgvHjx2PlypX4zW9+g5EjR+L000/H448/7rdoKc2oUaOwbds2XHDBBZgzZw5effVVHH/88crUKwCwceNGjBgxAoWFhbjmmmtQX1+PYcOGYdu2bT5Knpo0NTXh7LPPRl1dHWpra7l1+/btw/HHH49vvvkGV111Fbp3744TTjgBq1at8kna1OShhx7CuHHjUF1djQULFqBjx4741a9+payXZRmTJ0/G8uXLMXfuXIwfPx7nnXce7r//fh+lTi0OHTqEESNGYM2aNZg7dy7mzp2L1atXY+TIkTh06JCy3dy5c3HbbbfhvPPOw/nnn49bbrkFv/71r32UPLmpra3Fsccei4aGBuzbtw9ff/21ZpuDBw9ixIgR+Pjjj3HllVeib9++GD9+PF555RVb27iGTHjO0qVL5UAgIG/btk1Z9tvf/laurKyUw+Gwj5KlNvv37+f+3rVrlyxJkvz0008ry2bMmCEPHz5c+bu5uVnu2bOnfMUVV3gmZ7owb948+bzzzpN/97vfyT179uTW3XbbbXK7du3khoYGZdnUqVPlMWPGeC1myvL999/Lubm58l133cUtP3TokPL7P//5jwxA/vLLL5VlCxYskMvKyuSmpibPZE1l1q5dKwOQN27cqCz76KOPZADy2rVrZVmW5W+++UYOBALyv/71L2WbZ555Rg4EAvLWrVu9FjklqK+vV9rg8OHD5dmzZ2u2WbJkiVxQUMD13bNmzZKPOeYYW9u4BVmIfGDFihUYNGgQOnfurCybOnUqvv32W3zxxRc+SpbaFBYWcn/n5eUhGAzi8OHDyrIVK1bglFNOUf4OBoM4+eST8dprr3kmZzrw8ssvY9myZbj77ruF61esWIFx48ZxNUWmTp2KVatWobGx0SsxU5pnn30W4XAYF198Mbc8NzdX+b1ixQr07t0b1dXVyrKpU6fixx9/xIcffuiZrKlMdXU1SkpKsHr1amXZ22+/jdLSUhxxxBEAgNdffx2BQAATJ05Utpk8eTIkSUqY+ybVyc/PR1aW8exgK1aswNixY7m+e+rUqVi3bh327t1reRu3IIXIB7Zs2YJOnTpxy6J/b9myxQ+R0pLFixcjFArhpJNOAhCJtdi9e7fw3tN9t8727dtx4YUX4tFHH9Wdc0ivjbe0tOC7777zQsyU55NPPkHv3r3x9ttv45RTTsGkSZNwww03YN++fco21Jc4p23btnjrrbfwhz/8Ab1790avXr1wxx134K233kKbNm0ARO5l27ZtOWU0NzcXbdq0ofvsAKP2u3XrVsvbuAUpRD7Q1NSkqcaZl5enrCOc8+yzz+LWW2/F3/72N1RUVACI3VvRvaf7bo1wOIxzzjkHv/jFLzB8+HDd7aiNO6ehoQGbN2/GDTfcgF/84hf45S9/iZdeegmjRo1SrGx0n53T0NCAX/7yl+jSpQtuv/123HHHHejUqRMuvfRSw/sMUN/hFCvt18s2TrPd+0Dbtm3x008/cct2794NAGjXrp0fIqUVzz//PGbNmoV77rkHM2fOVJYXFRUhOztbeO/pvlvj22+/xcqVK7Fv3z4lqHHbtm348ccfMWzYMCxevBijRo2iNu4Cbdu2xf79+/Hkk0+iZ8+eAIB+/fqhuroab775JsaPH4+2bdvik08+4faj+2yPp59+Gu+++y527dqF0tJSAMCIESNQVlaGp59+Guedd56wPQPUdzjFSj/hZV9CFiIfGDRoED744AM0Nzcry9auXYvs7Gz069fPR8lSn3//+9+YMWMG/vSnP2HOnDncumAwiAEDBuC9997jlq9duxY1NTVeipmyVFRUYM2aNbjnnntw11134a677sK4cePQvn173HXXXejfvz+ASBsX3ecuXbqgrKzMD9FTjmOOOQYA0LFjR2VZ9He0nMSgQYOwceNGNDQ0KNusXbsWgUAAAwYM8FDa1OWnn35Cfn6+ogwBQGlpKQoKCpSBeNCgQaivr8enn36qbLNx40YcPHiQ+g4HDBo0COvWreOWrV27Fm3btkXXrl0tb+MarodpE6Zs3bpVzs3Nlf/0pz/JsizL+/btk/v16yfPmjXLX8FSnBdeeEEOhULyvffeq7vNfffdJxcXF8sff/yxLMuyvGrVKjkrK4vLHiHsIcoyW716tSxJkvz888/LsizLW7ZskTt06CAvWLDABwlTkwMHDsgVFRXy4sWLlWWLFy+W8/LylMymH374QS4qKpJvvvlmWZYjmT2DBw+Wp06d6ofIKcm7774rS5Ik//3vf1eW/b//9/9kSZLk9957T5blSDbqkUceKZ999tlyOByWw+GwPGPGDPnII4+Um5ubfZI8ddDLMvvggw/kQCAg/+Mf/5BlWZa3b98uV1ZWyr/97W9tbeMWpBD5xHPPPSeXlpbK3bt3lwsLC+UxY8bIP/30k99ipTRFRUVyQUGBfOyxx3L/HnjgAWWbcDgsX3rppXJOTo585JFHyqFQSL7++ut9lDr1ESlEshxJl83Ly5OPOOIIOTc3Vz7rrLPkxsZGHyRMXdasWSN369ZN7tGjh9y9e3e5oqJCo7z/5z//kcvKyuRu3brJxcXF8nHHHSf/8MMP/gicotx9991ycXGxXF1dLffs2VMuLi6W7777bm6bDRs2yNXV1XKHDh3k8vJyubq6Wt6wYYNPEic/jY2NSh9cVFQkl5eXy8cee6x85plncts98MADckFBgVxdXS3n5eXJU6dOlQ8ePGh7Gzeg2e59pKGhAZ999hlKSkrQvXt3v8VJed59912Ew2HN8i5duqBLly7csl27dmHbtm2oqqpSMkmI+IjGEB199NGadfv378emTZvQoUMHTaYIYY1wOIxPP/0UOTk56N69uzCV+fDhw/j0009RWFioxBsR9mhsbMTmzZshSRKqqqqEQdThcBifffYZAKB3794IBCjqRA9ZlrF27VrN8ry8PAwcOJBbVl9fjy+++ALt27fX9NV2tnEKKUQEQRAEQWQ8pN4SBEEQBJHxkEJEEARBEETGQwoRQRAEQRAZDylEBEEQBEFkPKQQEQRBEASR8ZBCRBAEQRBExkMKEUEQBEEQGQ8pRARBZDSbN2/GL3/5S2Vmc4IgMhNSiAiCyGhWrFiBl156SViZmCCIzIEUIoIgMpb7778f9957L1paWjBnzhzMmTMHO3fu9FssgiB8QDspDkEQRIbQoUMH7N69G8OGDVPmYqO57QgiM6G5zAiCyFhkWUZJSQmefPJJTJ482W9xCILwEXKZEQSRsWzevBn79+/XzL5NEETmQQoRQRAZy4cffog2bdqgsrLSb1EIgvAZUogIgshYPvzwQ7IOEQQBgBQigiAymM2bN6Nz585+i0EQRBJAChFBEBnL8ccfj2XLluGCCy7AlVde6bc4BEH4CGWZEQSR0axevRqffvopSkpKcPrpp/stDkEQPkEKEUEQBEEQGQ+5zAiCIAiCyHhIISIIgiAIIuMhhYggCIIgiIyHFCKCIAiCIDIeUogIgiAIgsh4SCEiCIIgCCLjIYWIIAiCIIiMhxQigiAIgiAyHlKICIIgCILIeEghIgiCIAgi4yGFiCAIgiCIjIcUIoIgCIIgMp7/Dw/UTZ/S8OZvAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "js_hz = aAA(o_hz.R(ts), o_hz.vR(ts), o_hz.vT(ts), o_hz.z(ts), o_hz.vz(ts))\n", "\n", "plt.plot(\n", " ts,\n", " numpy.log10(numpy.fabs((js_hz[0] - numpy.mean(js_hz[0])) / numpy.mean(js_hz[0]))),\n", ")\n", "plt.plot(\n", " ts,\n", " numpy.log10(numpy.fabs((js_hz[2] - numpy.mean(js_hz[2])) / numpy.mean(js_hz[2]))),\n", ")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\log_{10}|\\Delta J / \\langle J \\rangle|$\")\n", "plt.legend([r\"$J_R$\", r\"$J_z$\"])\n", "plt.title(\"Adiabatic: action conservation (high-z orbit)\");" ] }, { "cell_type": "markdown", "id": "d6c7e8f9a0b1", "metadata": { "papermill": { "duration": 0.003863, "end_time": "2026-06-30T01:07:11.558456+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.554593+00:00", "status": "completed" }, "tags": [] }, "source": [ "The radial action is now only conserved to about ten percent and the\n", "vertical action to approximately five percent. The [Staeckel approximation](staeckel.ipynb)\n", "does much better for the same orbit (better than a percent for $J_R$\n", "and a fraction of a percent for $J_z$):" ] }, { "cell_type": "code", "execution_count": 9, "id": "ba063284", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:11.566538Z", "iopub.status.busy": "2026-06-30T01:07:11.566331Z", "iopub.status.idle": "2026-06-30T01:07:11.771455Z", "shell.execute_reply": "2026-06-30T01:07:11.770078Z" }, "papermill": { "duration": 0.210095, "end_time": "2026-06-30T01:07:11.772213+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.562118+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "jr_st, jphi_st, jz_st = aAS(\n", " o_hz.R(ts), o_hz.vR(ts), o_hz.vT(ts), o_hz.z(ts), o_hz.vz(ts)\n", ")\n", "\n", "plt.plot(ts, numpy.log10(numpy.fabs((jr_st - numpy.mean(jr_st)) / numpy.mean(jr_st))))\n", "plt.plot(ts, numpy.log10(numpy.fabs((jz_st - numpy.mean(jz_st)) / numpy.mean(jz_st))))\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\log_{10}|\\Delta J / \\langle J \\rangle|$\")\n", "plt.legend([r\"$J_R$\", r\"$J_z$\"])\n", "plt.title(\"Staeckel: action conservation (high-z orbit)\");" ] }, { "cell_type": "markdown", "id": "e7d8f9a0b1c2", "metadata": { "papermill": { "duration": 0.003647, "end_time": "2026-06-30T01:07:11.780545+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.776898+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Grid-based interpolation: actionAngleAdiabaticGrid\n", "\n", "Like the Staeckel method, the adiabatic approximation can be sped up\n", "with a precomputed grid. The grid-based calculation can be significantly\n", "faster than even the direct C implementation (up to 150x for large arrays):" ] }, { "cell_type": "code", "execution_count": 10, "id": "f8e9a0b1c2d3", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:11.789213Z", "iopub.status.busy": "2026-06-30T01:07:11.789007Z", "iopub.status.idle": "2026-06-30T01:07:11.961746Z", "shell.execute_reply": "2026-06-30T01:07:11.958381Z" }, "papermill": { "duration": 0.178354, "end_time": "2026-06-30T01:07:11.962694+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.784340+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from galpy.actionAngle import actionAngleAdiabaticGrid\n", "\n", "aAAG = actionAngleAdiabaticGrid(\n", " pot=MWPotential2014, c=True, nR=31, nEz=31, nEr=51, nLz=51\n", ")" ] }, { "cell_type": "markdown", "id": "e0128625", "metadata": { "papermill": { "duration": 0.00374, "end_time": "2026-06-30T01:07:11.970632+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.966892+00:00", "status": "completed" }, "tags": [] }, "source": [ "Compare the grid-based and direct calculations:" ] }, { "cell_type": "code", "execution_count": 11, "id": "a9f0b1c2d3e4", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:11.979259Z", "iopub.status.busy": "2026-06-30T01:07:11.979028Z", "iopub.status.idle": "2026-06-30T01:07:11.985785Z", "shell.execute_reply": "2026-06-30T01:07:11.985213Z" }, "papermill": { "duration": 0.012691, "end_time": "2026-06-30T01:07:11.987079+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.974388+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R: direct = 0.013525, grid = 0.013527, difference = 0.000002\n", "J_z: direct = 0.000469, grid = 0.000477, difference = 0.000008\n" ] } ], "source": [ "jr_direct, _, jz_direct = aAA(1.0, 0.1, 1.1, 0.0, 0.05)\n", "jr_grid, _, jz_grid = aAAG(1.0, 0.1, 1.1, 0.0, 0.05)\n", "\n", "print(\n", " f\"J_R: direct = {jr_direct.item():.6f}, grid = {jr_grid.item():.6f}, difference = {jr_grid.item() - jr_direct.item():.6f}\"\n", ")\n", "print(\n", " f\"J_z: direct = {jz_direct.item():.6f}, grid = {jz_grid.item():.6f}, difference = {jz_grid.item() - jz_direct.item():.6f}\"\n", ")" ] }, { "cell_type": "markdown", "id": "b0a1c2d3e4f5", "metadata": { "papermill": { "duration": 0.003616, "end_time": "2026-06-30T01:07:11.994797+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.991181+00:00", "status": "completed" }, "tags": [] }, "source": [ "The grid-based and direct calculations agree well. For `MWPotential2014`\n", "and other more complicated potentials (such as those involving a\n", "double-exponential disk), the overhead of setting up the grid is worth it\n", "when evaluating more than a few thousand actions." ] }, { "cell_type": "markdown", "id": "bd4e0111", "metadata": { "papermill": { "duration": 0.003724, "end_time": "2026-06-30T01:07:12.002292+00:00", "exception": false, "start_time": "2026-06-30T01:07:11.998568+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Using the Orbit interface\n", "\n", "Actions and orbital parameters can also be computed directly from `Orbit` objects\n", "using `o.jr()`, `o.jz()`, `o.e(analytic=True, type='adiabatic')`, etc. The `Orbit`\n", "interface auto-determines the action-angle method and `delta` parameter. For the\n", "adiabatic approximation, specify `type='adiabatic'` when computing orbital\n", "parameters analytically:" ] }, { "cell_type": "code", "execution_count": 12, "id": "eccf76c8", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:07:12.010928Z", "iopub.status.busy": "2026-06-30T01:07:12.010727Z", "iopub.status.idle": "2026-06-30T01:07:12.030641Z", "shell.execute_reply": "2026-06-30T01:07:12.030253Z" }, "papermill": { "duration": 0.02649, "end_time": "2026-06-30T01:07:12.032529+00:00", "exception": false, "start_time": "2026-06-30T01:07:12.006039+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eccentricity (adiabatic): 0.13474166226188383\n", "Apocenter (adiabatic): 1.2838439076540742\n", "zmax (adiabatic): 0.018896497628549124\n", "\n", "Eccentricity (staeckel): 0.13508986478572993\n", "Apocenter (staeckel): 1.2848214705139953\n", "zmax (staeckel): 0.022401525812555927\n" ] } ], "source": [ "# Using the Orbit interface for the adiabatic approximation\n", "o_orb = Orbit([1.0, 0.1, 1.1, 0.0, 0.05])\n", "\n", "# Orbital parameters with the adiabatic approximation (no integration needed)\n", "print(\n", " \"Eccentricity (adiabatic):\",\n", " o_orb.e(analytic=True, pot=MWPotential2014, type=\"adiabatic\"),\n", ")\n", "print(\n", " \"Apocenter (adiabatic):\",\n", " o_orb.rap(analytic=True, pot=MWPotential2014, type=\"adiabatic\"),\n", ")\n", "print(\n", " \"zmax (adiabatic):\",\n", " o_orb.zmax(analytic=True, pot=MWPotential2014, type=\"adiabatic\"),\n", ")\n", "\n", "# Compare with Staeckel (generally more accurate)\n", "print(\n", " \"\\nEccentricity (staeckel):\",\n", " o_orb.e(analytic=True, pot=MWPotential2014, type=\"staeckel\"),\n", ")\n", "print(\n", " \"Apocenter (staeckel):\",\n", " o_orb.rap(analytic=True, pot=MWPotential2014, type=\"staeckel\"),\n", ")\n", "print(\n", " \"zmax (staeckel):\", o_orb.zmax(analytic=True, pot=MWPotential2014, type=\"staeckel\")\n", ")" ] } ], "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": "3.13.14" }, "papermill": { "default_parameters": {}, "duration": 9.53601, "end_time": "2026-06-30T01:07:12.753626+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/action_angle/adiabatic.ipynb", "output_path": "doc/source/tutorials/action_angle/adiabatic.ipynb", "parameters": {}, "start_time": "2026-06-30T01:07:03.217616+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }