{ "cells": [ { "cell_type": "markdown", "id": "d87d25b5", "metadata": {}, "source": [ "# MACE-MP foundation models in xnn: materials properties across generations\n", "\n", "The MACE-MP series (Batatia *et al.*, arXiv:2401.00096) are universal\n", "materials potentials covering 89 elements, released in several generations:\n", "**MP-0** (2023, trained on MPtrj), **MPA-0** (MPtrj + sAlex), and **OMAT-0**\n", "(the OMat24 dataset). Each is one `MACE.from_foundation()` call away in\n", "xnn, converted weight-for-weight from the published checkpoints (fidelity:\n", "`examples/fidelity_checks/mace_foundation_verification.ipynb`). The later\n", "generations also exercise the newer architecture pieces the converter\n", "covers: the Agnesi distance transform, ZBL pair repulsion, and the\n", "density-normalized interaction blocks.\n", "\n", "This notebook runs a classic materials screen with them, equations of\n", "state of three cubic solids (diamond Si, fcc Al, rocksalt NaCl), and\n", "compares lattice constants and bulk moduli across the model generations,\n", "against experiment and against the PBE reference the models were trained\n", "on. The periodic cell, stress and neighbor-list machinery is the standard\n", "xnn pipeline; only the model weights change.\n", "\n", "Licenses follow the upstream releases: MP-0 and MPA-0 are MIT, OMAT-0 is\n", "under the Academic Software License (no commercial use; the loader prints\n", "the notice).\n" ] }, { "cell_type": "markdown", "id": "37c05055", "metadata": {}, "source": [ "## 0. Setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "1430216b", "metadata": { "execution": { "iopub.execute_input": "2026-09-21T16:59:33.118890Z", "iopub.status.busy": "2026-09-21T16:59:33.118657Z", "iopub.status.idle": "2026-09-21T16:59:35.436626Z", "shell.execute_reply": "2026-09-21T16:59:35.435459Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "xnn: 0.1.0 | device: cuda\n" ] } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import torch\n", "import matplotlib.pyplot as plt\n", "\n", "torch.set_default_dtype(torch.float64)\n", "DEVICE = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n", "\n", "from ase.build import bulk\n", "from ase.eos import EquationOfState\n", "from ase.units import GPa\n", "\n", "import xnn\n", "from xnn.common.deploy import XNNCalculator\n", "from xnn.common.models import ForceStressOutput\n", "from xnn.gnn.models import MACE\n", "\n", "print(\"xnn:\", xnn.__version__, \"| device:\", DEVICE)" ] }, { "cell_type": "markdown", "id": "0ac12f71", "metadata": {}, "source": [ "## 1. Test set: three cubic solids\n", "\n", "Reference values: low-temperature experiment, plus the PBE numbers in\n", "parentheses in the discussion below -- a universal model trained on PBE\n", "data should land on PBE, not on experiment (PBE famously overestimates the\n", "Si lattice constant and underbinds).\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "a1ab5521", "metadata": { "execution": { "iopub.execute_input": "2026-09-21T16:59:35.439926Z", "iopub.status.busy": "2026-09-21T16:59:35.439716Z", "iopub.status.idle": "2026-09-21T16:59:35.445204Z", "shell.execute_reply": "2026-09-21T16:59:35.444204Z" } }, "outputs": [], "source": [ "# name: (cubic conventional cell, a0_exp / A, B_exp / GPa)\n", "SOLIDS = {\n", " \"Si (diamond)\": (bulk(\"Si\", \"diamond\", a=5.43, cubic=True), 5.431, 98.8),\n", " \"Al (fcc)\": (bulk(\"Al\", \"fcc\", a=4.05, cubic=True), 4.046, 76.0),\n", " \"NaCl (rocksalt)\": (bulk(\"NaCl\", \"rocksalt\", a=5.64, cubic=True), 5.640, 26.6),\n", "}\n", "MODELS = [\"mace-mp-0-medium\", \"mace-mpa-0-medium\", \"mace-omat-0-medium\"]\n", "\n", "\n", "def equation_of_state(model, atoms0, span=0.05, npts=9):\n", " \"\"\"Birch-Murnaghan fit over an isotropic +-span lattice scan.\"\"\"\n", " calc = XNNCalculator(ForceStressOutput(model), cutoff=model.cutoff,\n", " device=DEVICE)\n", " volumes, energies = [], []\n", " for s in np.linspace(1.0 - span, 1.0 + span, npts):\n", " a = atoms0.copy()\n", " a.set_cell(atoms0.get_cell() * s, scale_atoms=True)\n", " a.calc = calc\n", " volumes.append(a.get_volume())\n", " energies.append(a.get_potential_energy())\n", " fit = EquationOfState(volumes, energies, eos=\"birchmurnaghan\")\n", " v0, e0, bulk_mod = fit.fit()\n", " return v0 ** (1.0 / 3.0), bulk_mod / GPa, (volumes, energies, v0, e0)" ] }, { "cell_type": "markdown", "id": "a8c155b9", "metadata": {}, "source": [ "## 2. The screen" ] }, { "cell_type": "code", "execution_count": 3, "id": "339b73d4", "metadata": { "execution": { "iopub.execute_input": "2026-09-21T16:59:35.447708Z", "iopub.status.busy": "2026-09-21T16:59:35.447587Z", "iopub.status.idle": "2026-09-21T16:59:51.822463Z", "shell.execute_reply": "2026-09-21T16:59:51.821261Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cuequivariance or cuequivariance_torch is not available. Cuequivariance acceleration will be disabled.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mace-omat-0-medium is distributed under the Academic Software License (https://github.com/gabor1/ASL); by using it you accept its terms (no commercial use).\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "model solid a0 (A) exp B (GPa) exp\n", "mace-mp-0-medium Si (diamond) 5.456 5.431 74.7 98.8\n", "mace-mp-0-medium Al (fcc) 4.059 4.046 67.2 76.0\n", "mace-mp-0-medium NaCl (rocksalt) 5.684 5.640 25.4 26.6\n", "mace-mpa-0-medium Si (diamond) 5.466 5.431 88.5 98.8\n", "mace-mpa-0-medium Al (fcc) 4.037 4.046 83.2 76.0\n", "mace-mpa-0-medium NaCl (rocksalt) 5.711 5.640 21.3 26.6\n", "mace-omat-0-medium Si (diamond) 5.424 5.431 95.4 98.8\n", "mace-omat-0-medium Al (fcc) 4.035 4.046 71.5 76.0\n", "mace-omat-0-medium NaCl (rocksalt) 5.680 5.640 24.5 26.6\n" ] } ], "source": [ "results, curves = {}, {}\n", "for alias in MODELS:\n", " model = MACE.from_foundation(alias, dtype=torch.float64).to(DEVICE)\n", " for name, (atoms0, a_exp, b_exp) in SOLIDS.items():\n", " a0, B, curve = equation_of_state(model, atoms0)\n", " results[(alias, name)] = (a0, B)\n", " curves[(alias, name)] = curve\n", " del model\n", " if DEVICE == \"cuda\":\n", " torch.cuda.empty_cache()\n", "\n", "print(f\"{'model':22s} {'solid':16s} {'a0 (A)':>8s} {'exp':>7s} \"\n", " f\"{'B (GPa)':>8s} {'exp':>6s}\")\n", "for (alias, name), (a0, B) in results.items():\n", " a_exp, b_exp = SOLIDS[name][1], SOLIDS[name][2]\n", " print(f\"{alias:22s} {name:16s} {a0:8.3f} {a_exp:7.3f} {B:8.1f} {b_exp:6.1f}\")\n", "\n", "for name, (_, a_exp, _) in SOLIDS.items():\n", " for alias in MODELS:\n", " assert abs(results[(alias, name)][0] - a_exp) / a_exp < 0.02, \\\n", " f\"{alias} lattice constant off by >2% for {name}\"\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "0c9c0bc7", "metadata": { "execution": { "iopub.execute_input": "2026-09-21T16:59:51.824834Z", "iopub.status.busy": "2026-09-21T16:59:51.824600Z", "iopub.status.idle": "2026-09-21T16:59:53.541756Z", "shell.execute_reply": "2026-09-21T16:59:53.540720Z" } }, "outputs": [ { "data": { "image/png": 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5Jc/5uYs8PCgh98477/DOO+8UWmbGjBl8/vnnvPTSSwWWKSixdz83NzeWL19OTk6OLnEbGhqqO+7l5YWtrS0HDhzI0yMtLS0NMzMzUlJSCq2/JOevXLmSqKgo4uLidP9/dOnSJc//r0Chv9fu7u58++23ZGRk6Hr6hYSE4O7uXmi898bn5+eHn58fAO+//z4vvvgiBw4cKNL5QgghhCicJN6EEEKIUpSWlqbX483W1hYXFxdeffVVXn/9dWrWrImTkxMLFizIU65bt26MGTMGf39/bG1t+eyzz/KsXGhra8v27dtp0qQJ0dHRzJs3L8/5bm5urFq1il27dlGjRg1at26tF9/06dOZPHky1tbWNG7cmEWLFuHs7FykoWWZmZm0adOGSZMm4ePjw5kzZ0hISMDJySnf8g9zraJcL7/7Lclr9N577/HMM8+QlpZGmzZtiIqK4ocffmDGjBl0795dL64HXWPu3LkMHToUY2Nj2rdvz8GDB4mPj+f999/Xq6tRo0YMGTKEYcOGMX/+fNLS0njttdeYPHkyNWrUYMuWLXzxxReMHDkSZ2dnVq9eja2tLaampgQFBRV47EGaN29eYM/MFStW4OHhkSfpBtCxY0eioqLYt28fHTt25Ntvv2XMmDFERETQp08fLC0tCQsL46uvvuKvv/7S9frLHQp6rxYtWhTYg+1eI0aMeOAqpUX15JNP8sYbbzBmzBhGjBjBkSNH+OWXX3BzcwNg0KBBfPTRRwwaNIgXX3wRU1NT9uzZw4kTJ1i7du0D6y/J+ba2tly7do1NmzZhb2/PunXrOHDgAN26dQO0vdQcHBz45Zdf6NmzJ3Xr1sXKyipPHYMHD+btt9/m2WefZdy4cZw6dYpPPvmEn376qUivy3vvvUd8fDz9+/fH1NSU4OBg6tatW6RzhRBCCPFgkngTQgghSomjoyO1atXS6znVr18/5s2bx6hRozAyMmLFihWYmZkxefJkYmNjdeUGDRrE1atX+fbbb7G2tmbcuHGYmJjohqOuXLmSuXPnMn36dBo0aMBHH33E7Nmzdb1rhg0bxsmTJ3nrrbdITU1l9+7d1K1bF0VRdNd47rnndEMGExISaN26NcuXL9clQerXr6+bky2Xp6cnderUwcTEhMDAQD7++GNWrFhBnTp1+P3332nfvn2+r8eDrlW7dm2aNWtW4Ov5oOvld78leY369u1LcHAwX3zxBevXr6devXrMnDkzT4+1ez3oGgMGDODPP//kq6++IigoiA4dOuh6duX3+i5fvpxFixbx+eefY2RkxGuvvaabd61fv34YGRmxbNkyrl27RtOmTdm5cycajabQY/nx8PDA2dk532M2Nja0bNkS0PaWeu655/TKaDQaRo8ezT///EPHjh155plnaN68Od988w0ff/wxJiYm+Pj4EBgYqEu6+fr68ssvv/DLL7/kqWvLli16ib1cvr6+eq9RrgYNGuTpSefr61vkeRLNzc3Zu3cvc+fOZd68ebRo0YLZs2cTGBgIaHuX7dq1i88++4yvvvqK9PR0unbtqktgGRsb06ZNmzwJw1q1atG8efMSnz948GAuX77M0qVLAejbty+vv/56nsTXr7/+yuLFi9mwYQOjRo1i5MiRtGnTRpdgNTMz499//+V///sf7777Lvb29qxZs4Y+ffoUKe45c+bw/fffs2TJEtLS0njkkUeYPn16kV5TIYQQQjyYSrn3r3EhhBBClCsfHx/efPPNPJPvCyHKRmZmZp4E1PPPP49Go2HZsmUGjEoIIYQQVZn0eBNCCCGEENXCtGnT8PT0xNvbm7/++ovVq1ezc+dOQ4clhBBCiCos/yXBhBBCCFEufHx8irWyqRCi5N5++23OnTvHnDlziIyM5J9//ilwqLQQQgghRGmQoaZCCCGEEEIIIYQQQpQB6fEmhBBCCCGEEEIIIUQZkMSbEEIIIYQQQgghhBBlQBJvQgghhBBCCCGEEEKUAUm8CSGEEEIIIYQQQghRBiTxJoQQQgghhBBCCCFEGZDEmxBCCCGEEEIIIYQQZUASb0IIIYQQQgghhBBClAFJvAkhhBBCCCGEEEIIUQYk8SaEEEIIIYQQQgghRBmQxJsQQgghhBBCCCGEEGVAEm9CCCGEEEIIIYQQQpQBSbwJIYQQQgghhBBCCFEGJPEmhBBCCCGEEEIIIUQZkMSbEEIIIYQQQgghhBBlQBJvQgghhBBCCCGEEEKUAUm8CWFgw4YNIywsrMDjU6ZM4ZdffinHiErfvfcQGBjI7NmzDRyREEJUX7t27eKJJ554YLmJEyfyzz//6LbPnj3L008/Tdu2bdmzZ0+Jr793717GjRtX4vOFEEKUn5SUFHx9fYmNjS203LJly1i0aFGZxLBx40ZGjRpVJnVv3bqVZ555ptAywcHBTJs2rUyuL6oHSbwJUUbWrVvH2LFjCy0TGBjIpUuX8Pb2LrBMREQE169fL3KdFdG999CzZ09++OEHIiIiDByVEEJUTzdv3uTEiROFljlw4AB//vknnTp10u179tlncXFx4csvv6RZs2Ylvn6HDh34+++/2bdvX4nrEEIIUT6ysrI4fPgwGRkZBZZJSUlh9uzZPP7442USw40bNzh16lSZ1B0fH19oJwiAbt26sW7dOo4ePVomMYiqTxJvQjyEwMBAnn76abp27cro0aPZu3ev7liXLl14/fXXCz1/8eLFjBkzpsjXK0qdFZ25uTlPPvkkS5YsMXQoQghRZWVmZuLn58eIESNKdP6nn37KyJEj0Wg0AKSnp3Pw4EEmT56Mr68v1tbWJY5NrVbz/PPP8+mnn5a4DiGEqO58fX3p3bs3mZmZun1JSUn4+vpy/vz5YtV1/PhxJk2ahJ+fH7169WLatGlcuHChyOevWLECHx8fXFxcinXdimjz5s16baexsTHDhw/n888/N1BUorKTxJsQJfTTTz8xfPhwOnfuzHvvvYe/vz9vvPEGW7ZsAcDe3h4PD48Cz4+JiWHnzp0EBAQU+ZoPqrOyCAgIYNWqVYYOQwghqqwNGzaQkJBAYGBgsXsJpKens2HDhjztU3x8PAA1atQolfgCAgLYuHEjd+7cKZX6hBCiujl8+DC7du3K82V2ZmYmhw8fLtZ7688//0zbtm3Jyclh6tSpzJgxg4YNG9K/f3/de/+DrFq1qlifaSqyuLg4wsPD9fYHBATw+++/k52dbYCoRGUniTchSuj3339n5MiRTJ48mS5duvDcc8+xa9cu/P39gQcPC927dy/169fH3t4+z/4tW7bw+OOP079/f5YtW5bn2P11/vXXX/j6+uLr60vPnj159913SU9P1x1fuXIlEyZM4KuvvmLAgAH07NmTwMBAYmJimDhxIl26dGH8+PHcvHkzz3V2797N8OHD8ff3Z9KkSURHR+epc+LEifz6668MHDiQPn366M1BV9g9ALRt25bY2FgZbiqEEGXk66+/Zvr06YwdO5ZvvvmmWOcePnwYAC8vLwCOHTtG3759AfD396d9+/a6spcuXWLSpEk8+uijjB07lqtXrxbpmJeXF0ZGRhw6dKjE9yiEENXdlClTmDdvnt7f8vdq3749vr6+dOrUiTFjxuTpDRcdHc1LL73Ehx9+yNKlSxk4cCDdu3fn5Zdf5tixY0Xq3ZyVlcW///6Lr6+vbl98fDy+vr7s2bOHkSNH0qFDB1JSUjh48CDPPvssfn5+jB8/nsuXL+ep69y5c4wfPx5/f3/GjRtHTExMvtc8duwY3bp1Y9euXQAkJCTw2muv4e/vz5NPPsn27dt1Zffv36/7vNSjRw/efvttUlNTC6x37ty5nDp1SndO7pdXrVq14s6dOxw7duyBr4kQ95PEmxAl1KhRI/bu3UtkZGSe/ebm5gDExsZy+vTpAs+/ePEizs7OefZt376dIUOG0KNHD6ZOncrmzZv5+++/dcfvr7NVq1Z89dVXfPXVV0ybNo3g4GDGjx+vOx4TE8N3331HSEgIr776Kt26dWPw4MEMGDCA1q1b8+6773Ly5EmmTp2qO+fvv/+mV69etG7dmrfeeovk5GR8fX1JTk7W1fn999+zfft2XnnlFQYPHszo0aM5ePBgke4BwNraGgsLCy5dulSk11oIIUTRnT9/ntOnT/P0008zZcoUVqxYQVpaWpHPv3jxIg4ODrphpq6urixYsACARYsW6XpXREZG0qxZM1QqFbNnz6Zjx45MmTLlgcdAO9zUwcFB2gEhhHgIAQEBtGjRgnfffbfAMkuWLOGrr77i/fffx97eno4dO5KSkgJoFy1QqVRMnDhR7zxjY2OMjIweGENsbCx37tzJ87kmt+fduHHjGDBgAJ9//jnHjx+na9eueHl58c4775CdnU3r1q2Ji4sD4NSpU7Ro0YIaNWrw1ltv0apVq3wXNNi2bRt9+vThtddeo1u3boB2MaATJ07w5ptvMmLECBYtWsTZs2cB8Pb21n1emj59Ov/++y8jR47M915cXV15/vnnadiwoe6chg0bAmBqaoqNjY20W6JEHvybJITI1/z585k2bRrNmzfHxsaGtm3b8vTTT/PUU08V6fz09HRMTEzy7Pv444+ZNGkSkyZNAqBTp07Ur1+/wDpq166d59ul5s2b06hRI77++muMjY0BqFevHt9++y0qlQo/Pz+WLl3K4MGDdXPLzZw5kwkTJujq+OCDD3jhhRd47bXXAPDz88PDw4Mff/xR96HJ2dmZZcuWoVar8ff3Z+3atezatYt27doV+R5MTU3z9M4TQghROr755hsmTJiAsbExDRo0wN/fnzVr1vDss88W6fz72ydLS0uaN28OQMuWLalVqxYACxcuxN/fP8+cN7krwxV2LJe0A0II8fA+/vhjOnXqxMSJE/PtodamTRvd886dO7N37142bdrEsGHDuHz5Mo0aNdJ90VISue/j93+uAe18od27dwfgqaeeYvjw4bzxxhuAtgf1gQMH+Oabb3jjjTeYP38+jz/+OB999BEAjz76qF6C7Ouvv+bdd99l06ZNeT4DXbt2jSeffFJ3rQEDBujmvrOysspTtl27dtja2pKcnIyVlVWe+i0tLWnUqBEWFhZ5zskl7ZYoKenxJkQJ1apVi2XLlpGQkMAff/xB165defHFF3n77beLdH6dOnVISEjIs+/s2bN5GkczMzPdUJ/83L59m//973/069ePdu3aMXDgQLKysvIM52ncuDEqlUq3bWVlhaurq27b2tqapKQk3XZERARt27bVbavValq1apVnWGjjxo1Rq/97+6hVq5aujqLcQ3Z2NklJSXrDbIUQQjycjIwMfvzxR5YvX64bJvPvv//y9ddfF7mO/Nqn/ISFheVZ9RS0H0oedCxXQkKCtANCCPGQWrduzZAhQ5gxY0a+x9evX8+QIUPo1KkTvr6+hIWF6XptWVpaFun9vjC57+P51ePj46N7fv9nDNAmBXM/Yzyo3QgPD2fcuHH8/PPPekmxjz/+mF9//ZVu3brxxhtvEBoaqksEpqWl8cEHH/DYY4/xyCOP0KNHDwC9Ya5FIe2WKCnp8SbEQzI2NsbHxwcfHx/i4+NZtWoV8+bNe+B5rVu35uzZs2RmZup6p9nY2OhNYprb/To/kyZNIjIykmnTplGnTh0yMzPp2rVrsYYU3c/W1lbvmnFxcTRt2rRI5xflHsLCwtBoNLoeFEIIIUrH+vXrad68uW5oaK5hw4YRHh5e6Jc5uXKH/sTGxlKnTp0Cy9nb2xc4/05hxwBu3LhBTExMni9qhBBClMx7772Hh4cHe/fuzbM/KCiIsWPH8uGHH9KkSRPMzc2ZOnWq7rNC165dmT17NkeOHKFVq1YluralpSXu7u6EhYXh7e2d59i9PekK+ozRpEkT4MHthpeXF4MGDWLEiBFs3749z2eT3C+ZEhMT+fvvvwkICODLL78kICCA119/nZCQEGbMmIGDgwNqtZpOnToV+Hnp3g4L97pw4QKpqam0bt268BdEiHxIjzchSujjjz8mNDRUt52SksKuXbto1KhRkc5v0aIFdnZ27N+/X7evf//+fPnllyQmJgIQGBiY76o6uU6dOkW/fv0ICAigffv2eo1tSfTv35+vv/6aGzduALBr1y52795N//79i3z+g+5h586d+Pn56ebDE0IIUTq++eYbBg8erOvtlvvo169fkRdZcHJyolWrVuzcubPQck899RTLli3j+PHjgLa33bfffvvAY6CdT7RZs2bUq1evBHcphBDiXvXq1WPatGlMnz49z/5Tp07RuHFjnn/+ebp06YKxsXGexQE6d+7MY489xogRIzhx4oRuf2pqKgsXLixyb7jHHnvsgW1G//79+f7773WLth08eJBt27YxYMAAQNtufP3117r5rO/cucP333+fp47p06cze/Zs/P39OXLkiG7/woULuXnzJrVq1WLgwIE0atRId5+nTp2iZ8+ePP7443To0IFDhw4VujJp7dq18+34sHPnTtq3b0/t2rUf/IIIcR9JvAlRQj4+PowbNw47Ozt8fHxwdHQkPT2dpUuXFul8tVrN2LFj+fXXX3X7XnvtNRo0aECDBg1wd3fnf//7X6HfPr366qvMmzcPT09P6tatS1hY2EPf1+uvv06bNm1wcXHBw8ODxx57jEWLFul1DS9IUe5h5cqVvPTSSw8dqxBCiP+cPXuWv//+W7cC6b369u3Lzz//XOQe0S+++GKe9ik/w4cPZ+rUqXTo0AF3d3fq1q2r+zBT2DGQdkAIIUrbjBkz8kwfA/D0009z69Yt6tatS9OmTRk2bJjeKJbff/8dPz8/2rdvT926dXXv2SkpKdSsWbNI137hhRdYu3YtGRkZBZaZPHky3bt3x83NDU9PT/z9/Zk/fz5+fn66OkaNGkXr1q3x8PCgYcOG+S7uMH78eD744AN69uyp68BgY2ND06ZNadq0KU5OTmRmZjJ27FgApk6dyuLFi/Hw8KB+/frs3Lmz0C///fz8MDExwcXFJc+qptJuiYehUhRFMXQQQlRmCQkJREdH4+DggJ2dnW7/jRs3SEhIwMPDo8BzExMT8fHxISQkBEdHR93+a9eukZOTQ7169Th79ixWVlY4ODjkW+etW7e4ePEiderUwcHBgZCQEHx8fDAzMyM2NpbExETc3d115cPCwnB2dtZ9W5OSksK5c+do2bJlntiSkpKIjo6mcePGeSZLza/OCxcuYGZmlmc1o4LuYe/evUyaNInQ0NACu3ILIYQovvj4eC5fvpzvFzaZmZkcO3YMLy8vMjIyiIqKyjP3zv0yMjJo2rQpmzdvpmnTprrzW7VqpTcJd0ZGBpGRkTRo0EDvw0x+xyIiIujTpw/h4eGYmZmVwp0LIUT1ExISgqenJ5aWlrp9Fy9eJC4uTvdZALRzK58/fx6AJk2aEBkZqfd3O2jfr8+fP4+pqSmNGjXSzeecnZ3NkSNHaNGihW56nPwMHz6cbt268dJLL5GVlcXRo0dp2bKlXvIsOTmZq1ev4uLikm8bkJ6eTmRkJI0aNdIdj4uLIy4uDk9PT125s2fPkpWVpUskZmdnc+7cOSwtLalbt26eOm/fvk1kZCS2trY4OTlx5MgRPDw8sLCwICEhgevXr+eZiiErK4sLFy6QnJyMl5cXERERDB06lJMnTxZppVch7ieJNyEM7MKFC9SqVQsbGxtDh1Iurl69ilqtxsnJydChCCGEKMSVK1cwMTHBwcGhVOuNjY0lLS2NBg0alGq9QgghDCcxMZG4uDjc3NwMHUqpi46OJjs7W6ZHECUmiTchhBBCCCGEEEIIIcqAzPEmhBBCCCGEEEIIIUQZkMSbEEIIIYQQQgghhBBlQBJvQgghhBBCCCGEEEKUAUm8CSGEEEIIIYQQQghRBmQtXCGEEEIIIYQoRGZmJocOHcLCwoKWLVuWqOyRI0eIiYnJU9bDwwMXF5cyiFgIIURFIYm3++Tk5HDt2jVq1qyJSqUydDhCCFHtKYrCrVu3cHZ2Rq2uXB21pU0RQoiKo6TtSUJCAl26dAHg1q1btG7dmvXr1+f7vl5Y2U2bNrFv3z5d2Z07d7J8+fIiJd6kPRFCiIqlWG2KYiDZ2dlFLpuTk1OieopzjVxXrlxRAHnIQx7ykEcFe1y5cqXY7+mGJm2KPOQhD3lUvEdx25N58+YpAQEBiqIoSmpqquLh4aEEBQU9VNnTp08rtra2SlpamrQn8pCHPORRiR9FaVPKvcdbQkICw4cPJzg4GAcHB7766isGDBiQb9ktW7Ywe/ZswsPD8fT05IsvvtB9g1RYPcW5xv1q1qwJwJUrV7CysiqFOxaibIwbNw6Ar776ysCRCFG2kpOTqV+/vu79uTKRNkVUVNKGiOqopO1JcHAwEydOBMDc3JxBgwYRHBxMr169Slz2u+++49lnn8XU1DTfa6anp5Oenq7bVhQFkPZEVHzSvojqojhtSrkn3t555x0sLS1JTExk9+7dPPfcc1y6dIkaNWrolf3tt9/48ccf8fLy4ssvv+TJJ5/UzYtQWD3Fucb9crtuW1lZSaMmKrQVK1YYOgQhylVlHFojbYqoqKQNEdVZcduTmJgYnJycdNuOjo4cOnSoxGUzMzP5+eef2b59e4HXXLBgAXPnztXbL+2JqOikfRHVTVHalHKfLGfNmjXMnDkTS0tL+vbti6enJ0FBQfmW/fHHH2nRogXGxsYMHTqUmzdvkpGR8cB6inMNIYQQQgghhCiIpaUlqampuu3U1NQCezgUpWxgYCANGzakefPmBV5z1qxZJCUl6R5Xrlx5yLsQQghhKOXa4y0zM5OYmBhcXV11+1xdXYvUkHz22Wc8/fTTmJiYFFpPca9xfzfu5OTkktyaEOVuyZIlALrhDNVJdnY2mZmZhg5DlDJjY2M0Go2hwxCiWqjObYgQxeXh4UFISAi9e/cG4PDhw3Tu3LnEZb/77jvGjBlT6DVNTU0LHIYqREUm7YsQ+so18aZSqVCpVLo5CkC7Qs+DVoD44osv+Oeff9iyZcsD6ynuNQrqxi1ERbd06VKg+jVqKSkpREVF5fkdF1WDSqWiXr16WFpaGjoUIaq86tqGCFES48aNIyAggDp16hAbG8uOHTt081ddvnyZGzdu0KZNmweWBe0cbXv27GH16tUGuRchypq0L0LoK9fEm5GREU5OTkRERNC+fXsAzp49y1NPPVXgOR9++CGbNm1iy5Ytug9jhdVT3GvMmjWLadOm6bZzJ8gToqLbuHGjoUMod9nZ2URFRWFhYYG9vX2lnPNL5E9RFG7cuEFUVBRNmjSRnm9ClLHq2IYIUVJdunThp59+Yvny5ZibmxMcHIytrS0Ax44d48CBA7rEW2FlQdsD7vXXX5d52kSVJe2LEPpUSjl3G3nttdcIDw/n22+/5Z9//mHKlClcuXIFMzMzsrKyAG1iDeDdd99l69atbNq0SbcwgpmZ2QPrKezYgyQnJ2NtbU1SUlLxG8ScbLi0D1JiwNIBGnYEtXx4FKK0pKWlERkZSaNGjTA3Nzd0OKKU3blzh4sXL+Li4pLn/fqh3pcN7GFiz85ROBiZQOytNOrUNKOdiw0atSSbhRCipKpreyKfUYQQovQV53253Fc1ffvttxk7dize3t44OzuzatUq3QesyZMnY2dnx7vvvgvAxx9/TFpaGnXr1tWdf/78eerWrVtoPYUdKzPhgbBtBiRf+2+flTP0eR+8Asr22qJaSkhIAMDGxsbAkZQ/6elWNcm/63+2nYxm7qZwopPSdPucrM14Z4AXfXycCjlTiKKpzm2IENVKeCDKthmo7vmMolg5o5LPKKKMSPsihL5y7/FW0ZXo26TwQPhtBHD/S3n3Q+SQn6VhE6XO29sbgLCwMANHUn5ye7zd3yNKVA0F/ftWtx4K205GM/6X0IJaFL58trUk38RDq45tiBDVrT0hPBDltxEoKNw723UOoEKFSj6jiDIg7YuoLip0j7cqJydb29NN7yMSd/epYNtM8HxMunSLUjVs2DBDh1CpVMZhe9nZ2WzYsIErV67QvXt3mjVrZuiQRBnLzlGYuym8sBaFuZvC6enlWOH//xUVm7QhQlRxOdnc2fQ6porC/c2FGshRFNI2vY65fEYRpUzaFyH0SeLtYV3al3d4qR4Fkq9qy7l0KbewRNX35ptvGjqESqOyDtsbPnw4p06don379sydO5fffvuNnj17GjosUYYORibk+f/0fgoQnZTGwcgEOrjaFlhOiAeRNkSIqi374l7M71z/r7v0fdQqML9zneyLe9E07lq+wYkqTdoXIfSpH1xEFColpnTLCSFKVe6wvfuTGdeT0hj/SyjbTkY/VP2xsbH88MMPREZG8vXXX7NlyxZAu8rZZ599xv79+/Mt+80337Bt27YC6z19+jRBQUHs3buXb775hsWLFzN//vyHilVUfLG3/vv/VE0O7dXhBKj30V4djpqcfMsJIYQQ9zt/4XyplhNCCFFy0uPtYVk6lG45IYpo6tSpACxatMjAkRiOoijcycwu8Hh2jsI7gWGFDtubExhOJze7AoftmRtrCp30/9q1a0yfPp0mTZrg6+vL3Llz6dWrFxcuXKB58+bMmTOHjRs30qVLF65du8aMGTNo3Lgxvr6+fPjhhzz55JMsWLBAr95Dhw7RsWNHatasCUDfvn0ZN25cYS+HqALq1NTObddbfZB3jH/GWZWgO3ZNsWFu5giCctrpyglRUtKGCFG1xSq1cC/FckIUlbQvQuiTxNvDathRu3ppcjT5z/Om0h5v2LG8IxNV3J9//mnoEAzuTmY2Xm8Hlfh8BbienEazOQW/luHzemNhUvhbZVZWFtu3b6dGjRq0bt2a9957j9OnT6PRaHBwcGDz5s106aIdap6SksLmzZuxs7Pj+vXrNGnShLfeeovg4GDCw8MB7RDTuLi4PKtB1a5dm7S0NFJSUrC0tCzxPYuKrZ2LDUMtj/K/zMV6xxxJ4EvjxbxhPJ12Lv3KPzhRpUgbIkTVpmnUiWt7bHAkQW+ON4AcBa5ji6ZRp/IPTlRp0r4IoU+Gmj4stQb6vH93o4BeMX0WyqSlotSFhYXJakEVRMOGDalRowYAdnZ2eHh4oNFof+ft7e1JSkrSlW3QoAF2dnYAODo6UqdOHaKiorh9+zaJiYkkJiaSlZWFjY0NiYmJuvOSkpIwNTWVpFsVpyGHd4x/BtCfDPvu9jvGP6O5Z9ipECUhbYgQVVs7V3s+Mx4LaJNs91Lubn9mPIZ2rvblHJmo6qR9EUKf9HgrDV4BMORn7eqm9y60oDGBwd/LMt1ClBFzYw3h83oXePxgZAIjfzj0wHp+HNWWdi42+R4zNy7dpHlUVBRJSUlYW1uTkJBAbGwsTk5ODBs2LM8qUCkpKUybNo07d+5gbm7Ojh07aNmyZanGIiqgS/uKNBm2LNgjhBCiMBq1Cr/HRzNhRQZvG/+MMwl5js/MfIFHnxotK2QLIUQ5kMRbafEKAM/HtB+GYsNh63TIzoC6bQwdmaiiDh48CEC7du0MHInhqFSqQoeBdmlij5O1GdeT0goaCI6jtRldmtiX2x+epqamDBgwgG7durFp0yZGjhypm8ftXs2bN6ddu3Z0796dzp07s2zZMr777rtyiVEYkCzYI8qJtCFCVH19fJxg+DieCuxE/ZRj1CGRiUbr8VBfZaCHBZ0q8MruovKS9kUIfZJ4K01qjbYHgksXCFsPl/dD+AboMNHQkYkqaNSoUQDSlbsQGrWKdwZ4Mf6XUFTknYUxN832zgCvh0q6OTg4MHr0aN22m5sbTz31lG67VatWODo66rbr16/P0qVL+eOPP5gxYwZDhw4tsO7169ezfPlyrl69yoYNG+jcuXOJ4xSVhCzYI8qJtCFCVA99fJzo6eXIwcg2xN5KY98uNR43P8MtehMoc6GQBaSEKAlpX4TQJ4m3suI9SJt4O7lWEm+iTMyePdvQIVQKfXyc+PLZ1szdFE50Uppuv6O1Ge8M8NJ+G/wQnJycmDJlim7b09MTT09P3fYjjzyid46Pjw8+Pj4PrNvMzIwXXnjhoeITlcwDFuxRUKGSBXtEKZA2RIjqQ6NW0cHVFoC9RiNJ//1LHNIukHn1KMb1Whk4OlHVSPsihD5JvJUVr4HaOd+uHoabF6F2I0NHJKqY4cOHGzqESuO/b3sTiL2VRp2aZrRzsSn3eU3u7x0nhJ7cBXt+GwH39dPMUUClUmTBHlEqpA0Ronp6pKkLf6nb0kvZx/V/llF/+OeGDklUMdK+CKFPEm9lpaYDNOoMkf/AyXXQZZqhIxKiWrv3215Dub93nChb6enp/PLLL1y5coWePXvSqVOnAsvOnj2b7OxsAObPn4+R0X/NY3HqKRUFLNgTjzVLzMczRxbsEUIIUUJGGjUxLoPgwj5qn98IWR+DkYmhwxJCiCpNbegAqjSfwdqfYesMG4eokgICAggIkA/gQhRk0KBBfP/996SmpjJw4EACAwMLLGttbY2FhQXvv/8+WVlZJa6n1HgFwCsn4fnN4KwdBrQqpzs/3mzOudiUsr++qPKkDRGi+vLq8jixSi0ss5NIP7XN0OGIKkbaFyH0SeKtLDUNALURXD8BcWcNHY0QQlQbJ06c4N9//2XHjh188MEHLFmyhAULFhRYfvr06Uybpt8zubj1lKrcBXvajgWgv/kJAILCrpfP9YUQQlQJ2TnZHLp+iC0XtnDo+iFaNKhNsHE3AG7u+9GwwQkhRDUgQ03LkoUNNPaDc8Ha4aZ+MwwdkahCyqXXjRCVVGhoKB06dMDc3ByA7t278/zzz5d5Penp6aSnp+u2k5OTi31NPU16AeCScZY63OTPsOtM9Hd7+HpFtSZtiBDVQ/ClYBYeXEhMaoxun4OFA+3ce0L4Ruyid8HteKhh2Ok4RNUh7YsQ+qTHW1nLHW56ci0o+ivUCSGEKH0JCQnUqlVLt21tbU16ejopKcUbplncehYsWIC1tbXuUb9+/ZKEn5dlHajbBoDumiMci0riWuKdh69XCCFElRZ8KZhpO6flSboBxKbGsunOL3xv3hAjsrgTutpAEQohRPUgibey5vkYaEwg7gzEhhs6GlGFrFixghUrVhg6DCEqJFtbWxISEnTbN2/exMzMDEtLyzKtZ9asWSQlJekeV65cKdkN3M+9LwCDLbXDTf+U4abiIUkbIkTVlp2TzcKDC1HQ/+JfQUGFiu/sTckG7hxaXv4BiipL2hch9EnirayZWYNbT+3zk7LIgig97733Hu+9956hw6g8crIhcjecWKP9mZNt6Ige2rVr1wgJCckztFFotW3bln379nHr1i0Atm7dStu2bcu8HlNTU6ysrPI8SoV7bwBaZh7DlAy2SeJNPCRpQ4So2kJjQ/V6ut1LQSFFk8YBU3NsksMh9lQ5RieqMmlfhNAnc7yVB59BcOYP7eqmj74JKpWhIxJVwA8//GDoECqP8EDYNgOSr/23z8oZ+ryvXT2yEvrggw+YP38+9erVIykpib/++gsPDw9Dh1VhNG3alB49etC5c2ceeeQRfv/9d1atWgVATk4Ob7zxBjNmzKB27doALF68WNc77a233qJhw4ZMmjSp0HrKlWMzsKqLUfJVOqjD+CfShITbGdjUMCn/WESVIG2IEFXbjdQbRSr3j9qVjpzk9sHl1Oj/vzKOSlQH0r4IoU96vJUH9z5gZA4JFyD6qKGjEVVEu3btaNeunaHDqPjCA+G3EXmTbgDJ0dr94Q83Aezt27c5evQoOTk5hIWFERsbC8CdO3cIDQ3NM7l+btns7GzCw8PzDGHMzMxkz5497N27l1OnTpGdXXCPvNjYWObNm0dISAjh4eGMGTOGt99++6HuoypavXo1b775Jl5eXuzatYvevbW9xlQqFbVq1UKt/q8JrFmzJvb29ixYsABbW1tq1qz5wHrKlUql6/X2VM2T5CgQHF5wTwYhHkTaECGqNnsL+yKVi7HooH1yfDVkZ5VhRKK6kPZFCH3S4608mFpqPzCFb9AON3VuZeiIhKgaFAUyUws+npMNW6dDPvObaPeptD3hGvuBWpN/HcYWhfZSPXv2LI8//ji2trYoikJERASLFy/mk08+wcTEhKtXr/Lvv//i6urK2bNneeKJJ6hTpw7p6elcuHCBb775hqFDh3Lr1i1mzpwJQHx8PBqNht27d+t6ZN1r586d+Pr64u7uDsCoUaNo2bJlwa9DNaXRaHjqqaf09qtUKt1rnWvMmDHFrqfcufeBkGV0VUKBZwkKu86QtqWweIMQQogqp3Wd1jhYOBCbGpvvPG8qVDhYONDadSwJ21dikxEHF/6GJj0NEK0QQlRtkngrLz6DtIm3sPXQc54MNxUPzdvbG4CwsDADR2JAmanwP+eHqEDR9oRbWEjy4o1rYFKj0FquX79OcHAwbm5ufPTRR7zxxhuEhYVhb2/Pyy+/zPLly5kzZw4Aly9fZt26dbRq1YoDBw7Qv39/Bg8ejI2NDf/88w8RERHEx8ezaNEili9fzpQpUzhz5gw3bmiHjDRr1ozo6Gicnf+777p165KcnMzt27epUaPwWEUl5tIVjMypmRFDU9Vldp/VkJKehaWpNOWi+KQNEaJq06g1zGw3k2k7p6FCpZd8U1CY0W4GrWxd2BTUiec1QaQc/BlLSbyJhyTtixD65K/18tKkF5hYQtIViDoE9aX7rXg4vXr1MnQI4q4mTZrg5uYGgKenJ23atMHeXjvEo2nTphw7dkxX1tXVlVattL1eH3nkESwtLbl06RIWFhb4+/uTlZWFg4MD169fp3HjxgCsXLmS4OBgAD7//HMsLCxIS0vT1Xnnzh00Gg1mZmblcr/CQIzNtb0zI7byZM2TvJvckJ1nYunf/GGSz6K6kjZEiKqvR8MefOL3CQsPLtRbaGGE1wh6NOwBwIW6AXA9CLNz2+BOIpjXKv9gRZUh7YsQ+gySeMud58jJyUn3wTI/Z86c0U127eHhQf36//VK2bt3L3fu3MlTvlWrVtja2nL69GmioqJ0+x0cHGjWrFkp30UxGZuDRz848RucXCuJN/HQFi1aZOgQDM/YQtsjrSCX9sGvTz64nmfWQMOOBV/jATQaTaHbivLft8wJCQlkZ2ej0WjIzMzk5s2bWFtb88MPP9C9e3eWLl0KwGuvvUZOTg4Ac+bM0fWYA0hKSmLBggW67aNHj9K4cWO964oqyL03RGylj/FR3uUxtp28Lok3USLShghRPfRo2AP/+v6ExoZyI/UG/0T9wx+Rf3Ax+aKuTIu23TizsR4e6iiUsPWofEcZLmBR6Un7IoS+ck+8hYWF0b17d5ycnLh06RKvvPJKgZOCb9++nQ0bNhAWFsaMGTN45ZVXdMe+/PJLrl+/DmgnJf/nn384ffo0tra2LF68mF27dlG3bl0AunbtavjEG4DPYG3iLWwD9P5fwXNKCSGKRqUqfBio66Pa1UuTo8l/njeV9rjro+X2+3jr1i1eeuklnnrqKVasWIGvry/29vbY2dmxevVqtm3bxoULF1i2bBmjR4/Ot46uXbtibGzMlClT6NGjB2+//TYvvfRSucQvDOzuAgvOt8OxI4m/T2tIy8zGzFjaEyGEEPnTqDW0dWwLQFPbpvwR+Qd7r+4l/k48tua29PJxYsmGbszgV1IPLaeGJN6EEKJUlfuqpu+88w5jx47lyJEjHD16lI8//phr1/LvsTJp0iSCg4Pp3r273rFffvmF4OBggoODmTRpEh07dsTDw0N3/OWXX9YdrzCr/bk+CmbWkHIdLu83dDSikps/fz7z5883dBgVm1oDfd6/u3H/vIp3t/ssfKikm6WlpW7oKICNjY1ubgsAJycn3TBU0A497datG1988QWWlpb89ttvAIwYMYK+ffuyePFizp8/z4IFC3Bxccn/ttRqtm7dSlJSEp999hnDhg1j6tSpJb4HUYlYOYNTC1QoDKxxktsZ2ew7H2foqEQlJG2IENWTi7ULze2ak61kszVyKwCWpkYkNnmCbEVFjZjDEH/ewFGKykzaFyH0lXuPtx07dvDee+8B0KBBAzp27MjOnTsZPnx4iev87rvv9Faki46OZt++fTRp0kQ315LBGZlA0wFw5BftcNNGnQ0dkajEVq5cCcCbb75p4EgqOK8AGPKzdvXS5HuS/FbO2qSbV8BDVe/m5sYPP/yg2+7YsSMdO/43bHXgwIF65zz33HM899xzefYZGRkV64+Uxo0b89NPP5UgYlHpufeF6GMMsjzJ97c7EXQyhkc9HQwdlahkpA0RonjOnz/P2rVrsbCwYPjw4djY2JSobGZmJmvWrOHMmTNkZWUxadIkHB0dy+MWdPq79ud43HECzwfyrNezAPi3acY/Z5vjrzlGztEVqLu/Va4xiapD2hch9JVrj7e0tDQSExNxcnLS7XNyciI6OrrEdV66dIl///2XIUOG6PY1bdqUvXv38uqrr9K4cWPef//9As9PT08nOTk5z6NMeQ/S/gzfCNlZZXstUaXt3r2b3bt3GzqMysErAF45Cc9vhsHfa3++cuKhk27FdX/vOCFK5O5wU8/bIZiQyfZTMWTn5DeUWoiCSRsiRNFFRETQunVrzp8/z44dO2jfvj3p6enFLpuRkUGXLl1YvHgx2dnZmJmZoVLd3yO/7PVp1AcjtRGnEk5x9uZZALp52LNF4w9AZugKuDvPrBDFJe2LEPrKNfFmamqKsbFxnkURUlNTsbS0LHGdy5Yt46mnnspTR+4w0/379xMSEsLcuXMLHM66YMECrK2tdY97F3AoEy7dwMIWUuMhclfZXktUaTY2NoV+2yruo9aASxdo9qT2pwHmWLy/d5wQJeLUEiwd0GTdprv5WRJuZ3DoYoKhoxKVjLQhQhTdZ599xqhRo/j6669Zv349Tk5OrF69uthlv/32W0C7SNy7777Lm2++iYND+fdYrm1Wm651uwKw6cImAEyNNJh49SdZscD09jW4tKfc4xJVg7QvQugr18SbSqWiSZMmHD58WLfvyJEjeeZmK46cnBx++OEHvWGm93J3d6dWrVrExsbme3zWrFkkJSXpHrmrqJYZjRF43R16FraubK8lqrRz585x7tw5Q4chhChvarWu19vw2qcACAq7bsiIRCUkbYgQRXf48GF69Oih2+7Ro0eezzNFLRsUFMTw4cP58ccf+fjjjwkPDy/wmmU9KifAVdvr/4/zf5Cdkw3AY61d2JzdHoDs0F9L9Xqi+pD2RQh95b64wksvvcTUqVNZvXo1EydOxMjIiG7dugFw6tSpPL+kUVFRBAcHc/36dSIiIggODubWrVu640FBQdSsWZMOHTrkucauXbsIDg5m48aNDB8+nFq1auWZ7PxepqamWFlZ5XmUudzhpqc2QVZG2V9PVEkDBw7Md/4wIUQ14N4HAN/0A4DCn2ExKIoMNxVFJ22IEEWXkJBArVq1dNu1atUiLi7/hW0KK3vt2jW++uorDh48SGRkJO3bt2fXrvxHwJT1qJwu9bpgbWpN7J1YDlw/AMAjjW3ZYapd1E45FQjpKaV6TVE9SPsihL5yX1xh8uTJACxfvhxnZ2e2bt2qm9tg69atWFtb61YAPHz4MJ9//jmgnS9h4cKFLF26lJo1awJw8uRJZsyYoXeNRYsWkZKSQo0aNWjevDmffvopxsbG5XF7RdOwI1g6alc3Pf8XePQxdESiEpowYYKhQxBCGEpjP9CYYn47iuYm0RxPdObk1WSa1bM2dGSikpA2RIiis7W15ebNm7rtmzdvFrh4W2Fl7ezs8PDw4NNPPwWgTp06fP/997pOCPeaNWsW06ZN020nJyeXavLNRGNCn0Z9WH1mNZvOb6Kjc0c0ahWNWvpz4ZAjjbOuw6lAaFnyBfBE9STtixD6yj3xplKpmDJlClOmTNE7dm/jAg/Olr/++uv57t+wYcNDxVjm1BrwfhwOfKUdbiqJN1ECEydONHQIQghDMakBLl3h3HZG2Z9h6lVntoVFS+JNFJm0IUIUna+vL0FBQQwYMACAP//8k3HjxhW7bLt27UhI+G9OzqysLNTq/AcgmZqaYmpqWpq3oSfANYDVZ1az4/IOUjNTsTC2IKBlXdb+25XX1b+RfeRXNJJ4E8Uk7YsQ+so98Sbu8h6kTbyd/gMy74CxuaEjEkIIUZm494Zz2+mqHAb8CQqL4fXenoaOSgghqpwpU6bg6+vLrVu3uHHjBnFxcTz11FMAHDhwgDNnzjBixIgHlp0wYQJt2rTh1q1bmJiYsGbNGrZv326w+2pm14xGVo24mHyR4MvBBLgG0LyeNe9Z9SQn9Xc0l/ZA4mWo1cBgMQohRFVQ7nO8ibvqtQXr+pCRAmcN1+CKymvkyJGMHDnS0GFUGtk52Ry6fogtF7Zw6Poh3UTClUV2duWKV5SDu/O82dw8Sh3NLc7FpnAuVubjEUUjbYgQRefm5saxY8do3bo1jz/+OAcOHND1RtNoNHmmtCmsrKOjI6GhoTzyyCO0bt2ao0eP4uvra5B7Au1IpP6N+wMQeD5Qt69965bsz/HSFjqW/+qtQhRE2hch9EnizVDUau1wU4CTaw0aiqicZMWgogu+FEzvtb0ZHTSaGbtnMDpoNL3X9ib4UrChQyuSkydP0qJFi0LLbN26FRcXF4yNjenXr1+e+WVEFVWrPjj4oFJyGON4HpDVTUXRSRsiRPE0bNiQl19+mRdffBFr6/+G9fv6+jJs2LAilQVwcHBgwoQJjB8/noYNG5ZL7IXp76pNvB2MPsj129o2JKCFM2uzuwCQfXQFyOI9ohikfRFCnyTeDMlnsPZnRJCsGiSKbc+ePezZs8fQYVR4wZeCmbZzGjGpMXn2x6bGMm3ntDJPvhWnp1pWVla+5XNycgo9npqayrPPPstHH31EXFwcVlZWzJkzp8Qxi0rEvTcAfUyOAZJ4E0UnbYgQAqCuZV18HXxRUNh8YTMAbnUsuezYnduKKZqbF+DKQQNHKSoTaV+E0CeJN0Nyagm1XSDrDkRsM3Q0QlQ6iqKQmpla4ONW+i0WHFyAgv43tcrd/xYeXMit9FsF1qEU4VveRYsWUbduXWrWrMlTTz2lmzj56NGjNGvWjBEjRmBlZYWXlxeHDx+mX79+mJqa0qVLF13PtJiYGMzMzDA1NcXa2prnn3+ezMxMAAYMGEBYWBhmZmZ4e3vrXT84OJhGjRoxePBgrK2tmT17NqtXy9CQasG9LwD14/dhrMrieFQSVxPvGDgoIYQQlUmAawAAm85v0v3d06ulK1tzHtEWOPqroUITQogqQRJvhqRS/dfr7eQ6w8YiKp2goCCCgoIMHYZB3cm6wyMrHinw0XFVR2JTYwutIyY1ho6rOhZYx52swpMYu3bt4qOPPiIoKIirV6+iKAozZ87UHT9z5gxPPPEEN27cwN/fn+7duzNz5kySkpKws7Nj2bJlgHboSVZWFllZWURGRpKamsqKFSsA+OOPP/D29iYrK4vTp0+Tk5OjK6soCleuXMHNzU13TVdXV2JiYkhPTy/pSysqi7qtwcIOdcYtnnW8BsCf0utNFIG0IUKIXD0b9sRUY8qFpAuEx4cDMOCe4aY5J9dpF4MTogikfRFCnyTeDM1nkPbnue2QlmTYWESlMm3aNKZNm2boMKq9HTt28Oyzz+Lj44OVlRVvvfUWO3bs0B1v0qQJTzzxBKampvTq1QtfX1+6du2KmZkZPXr04MKFCwDcuXOHZ599llq1amFvb8+6des4ffp0vtd87rnnMDMzw8zMjH/++QcgT888RVFQqVSoVKoyvHNRIag10KQXAIMsTwAy3FQUjbQhQohcliaWPNrgUeC/RRacrM1RGnQiStF+ucPpPwwZoqhEpH0RQp+RoQOo9up4gZ0HxJ3RNmgthxs6IlFJfPLJJ4YOweDMjcw5MPxAgccPxxxmwo4JD6xnafeltHFoU+A1CqNSqXRzsMF/Sa9cZmZmuucajUZvO3fOtmXLlpGUlMTZs2ext7dn3rx5JCcn665xr19//ZVff/1v2EdycjJnz57VbZ87dw4HBwdMTEwKjV1UER594NgKPG/tBx7jYGQC8Snp2FqaGjoyUYFJGyIqnZxsuLQPUmLA0gEadtR++SBKRYBrAFsjt7I1ciuvtX0NY7UxAa3qszaqCy8brYdjK6HZk4YOU1QC0r4IoU96vBmaDDcVJdS7d2969+5t6DAMSqVSYWFsUeCjo3NHHCwcUJF/zy8VKhwtHOno3LHAOh7Ua6xXr1788ssvHD58mBs3bjB37lx69epV7HtJS0tDrVZjbGxMaGgo3333ne6YtbU1sbGx3Lx5M9/FFXr06MGVK1f49ddfiY2NZd68eXorrIkqrLE/qI0xTrxAL4dkchTYcarwIdZCSBsiKpXwQFjsAz/1h7VjtD8X+2j3i1LR3qk9duZ23Ey/yd6rewHo6+NIoNIVAOX8X5AcbcgQRSUh7YsQ+iTxVhHkDje98DekJhg2FiGqEI1aw8x22vnW7k++5W7PaDcDzUN8Y96pUyfefvttnnrqKZo2bUqNGjVYsGCB9hoqFUZG/3UsVqvVaDSafLfHjBnD7du3adSoEZMnT6Zv3766Y/Xq1eOxxx6jUaNG+S6uYG5uzsqVK5k3bx6NGzcmJyeHd955p8T3JCoZMyto1BmAETba4cnbZLipEKKqCA+E30ZA8rW8+5Ojtfsl+VYqjNRG9HPpB/w33LR2DRNc3JtxKMcdlZIDJ34zZIhCCFFpqZSiLNlXjSQnJ2NtbU1SUhJWVlbld+GvOsP1EzDgU2gzsvyuKyqtzp21H7Sr03LdaWlpREZG4uLikmfI5oMEXwpm4cGFxKTG6PY5Wjgyo90MejTsURahihIo6N/XYO/LpaDcYv/3K9g2g1Tn9nhdmIKJRk3o2z2xNJUZJUT+qmMbIiqhnGxtz7b7k246KrByhldOFGnYqbQnhTuTcIYnNz2JsdqYv4f8jbWpNRuPXmX/75+w0Pg7FPumqCbs147YEaIA0r6I6qI478vyF3lF4T1Im3g7uU4Sb6JI7l3FUhSuR8Me+Nf3JzQ2lBupN7C3sKd1ndYP1dNNiArFvTdsm4F59CGa2yocj8/h79OxDGjhbOjIRAUlbYioFC7tKyTpBqBA8lVtOZcu5RZWVeVh44F7bXcibkYQdDGIIR5D6OnlwHx1J9KUnzC7cQqij4JzK0OHKiowaV+E0CdDTSuK3OGmF3dDiszNIx7sxx9/5McffzR0GJWGRq2hrWNb+jXuR1vHtpJ0E1WLjQvYe6JSshnjpF0pV1Y3FYWRNkRUCikxDy5TnHLigQJcAwDYdH4TABYmRnT0duHPHF9tgaMrDBWaqCSkfRFCnyTeKorajaBuG1ByIHyjoaMRQghR2bhrJzLuooQA8PfpWNIy9RfjEEKISsPSoXTLiQfq59IPtUrN0RtHuZx8GYCBLZ1Zm313kYUTayArw5AhCiFEpSOJt1KUkZXFj4eDmff3L/x4OJiMrKziVeB9t9fbybWlH5yocpYsWcKSJUsMHYYQoqJw7wtA7au7qFvTmNsZ2ew7H2fgoERFJW2IqBQadtTO4VYgFVjV1ZYTpcLewp4Ozh0A2HRB2+utSxN7Tpq2IkaphepOApwNMmSIooKT9kUIfZJ4KyUf7v4d35/9+fjkVH6//D4fn5yK78/+fLj796JX4v2E9ufl/ZB0tWwCFVXG0qVLWbp0qaHDEEJUFPXagnltVGmJjG6knbJg20kZbiryJ22IqBTUGuj8agEH707w32dhkRZWEEUX0Pi/4aaKomCsUdO7eT3WZ9+dR+/oSgNGJyo6aV+E0CeJt1Lw4e7f+en8PHLUiXn256gT+en8vKIn36zrQgPtN0yErS/dIEWVs3HjRjZulGHJQoi7NEbg1hOAPsZHAQg+FUtWdo4BgxIVlbQhotK4vF/7U2Oad7+VMwz5GbwCyj+mKs6/gT81jGtwNeUqR2KPADCwhTNr7ibelLNBcFt6VIv8SfsihD5JvD2kjKwslp/9DNBfWTt3e3nEZ0UfduozWPszbF0pRSiqKjc3N1k1SAiRl0cfAJxj/6GWhTEJtzM4dPGmgYMSFZG0IaJSuHYETq7RPh+9DZ7fDIO/1/585YQk3cqIuZE5PRtqv8gJPB8IQNtGNty2cuNYTmNUOVlwYo0hQxQVmLQvQuiTxNtDWnFsJ4omUS/plkulAsUokRXHdhatQq+BoFLD1cNw82JphSmqoISEBBISEgwdhjCw69evs2vXrnK73okTJwgPDy+364licu0OKg2quDM87ar9wkdWNxX5kTZEVHiKAtvf0T5vNoRspxYcMjdjSw0LDpmbIUvHlK3c1U3/vPgnaVlpqNUqAlo4szZ3uOkxWd1U5E/aFyH0SeLtIV1OLtoHmqKWw7IONOqsfX5Ser2JgnXp0oUuXboYOgxhYDExMezfv7/crrd69WrWrZP3pgrLvJZukvEnapwE4M+w6yiKYsCgREUkbYio8M7vgMhdoDEh2PNReq/tzeig0czYPYPRQaPpvbY3wZeCDR1lldXGoQ1ONZy4lXmLnVE7AQho6UxgdkcyFA1EH4OYMMMGKSokaV+E0CeJt4fUwMqxVMsBMtxUFMmwYcMYNmyYocMQdx09epRNmzYRGRmp27d7925OnTql2w4JCeHIEe1cKcHBwcTFxRESEsKOHTtIT0/PU198fDxBQUHs2rWLrHuGqgcGBnLr1i0OHjzIwYMHcXBwoEMH7dyQcXFx7Nixg8TERLZt28bp06cBuHr1KoGBgVy5ciXPNTIzM9m7dy9bt24lLu6/uVpCQ0M5e/Ys58+fZ8uWLbpjcXFxhIeHc+LECVatWsWJEyfyfS3Wrl3LqlWrCAwM5Pp16W1V7ty1w02bJO3BwkTDtaQ0TlxNMnBQoqKRNkRUaDk5sH0OAMHN+jMtZAExqTF5isSmxjJt5zRJvpURtUpN/8b9Ae0iCwBeTlbY1XHir5zW2kJHpdeb0CftixD6jAwdQGU3vIUfnxyrRY46/+GmigLq7FoMb+FX9EqbBsAfr8L1ExB3FuyalFq8oup48803DR2CAHJycnjqqae4evUqTk5OhISE8Oabb/LSSy9hbGzMY489xsGDB0lISGDQoEH8888/gPbfT61WY2Zmxs2bN9FoNOzduxdTU1P+/PNPJkyYgI+PD/Hx8aSkpLBnzx5q1KjBhAkTcHNzw9zcnICAABISEli8eDHdunXj9OnTjBkzBmtraxo0aMDOnTt57bXXWLt2LfXr12ffvn0cPHiQJk2acOPGDfr06UPt2rUxNzfn8OHDrFmzho4dO7Js2TKOHDlCVlYWVlZWHD9+nJMnT5KQkMCZM2fQaDSoVCrUajXNmjXL83pkZGSwZs0aFEUhOTmZ0aNHs3//fpo0kfexcuPeB/6cjebSPvq4vca68FsEhV2neb1aho5MVCDShogK7cRvEHOCbFNrFmZcQkG/166CggoV7x98H//6/mhkZdNSN8B1AN+e+Ja9V/cSdycOO3M77XDTHV3oozkEx3+DHnO1i/sIcZe0L0Lokx5vD8nEyIjnmkwBtEm2e+VuP+c+BROjYjRIFjbQ2F/7XIabCvFA3t7eTJ06Vbc9f/58vL29dfNLnDt3Dm9vb5YsWaIrM3LkSDp37qzbDgoKwtvbm6CgoGJd+/fffyc6OppXXnmFp59+munTpzNnzhwA2rdvz8SJE3nuued4+umn+fTTT2nUqJHu3O7du/PXX38RGhqKnZ0dy5cvB+Cll15iypQpDB06lIkTJ2JmZsaaNf9NYjxq1Ci2bt3K+PHj9eJJTk5m165dbNq0ibfeeotffvmFkJAQ/vjjD5577jnWrl0LwP/+9z98fHwYO3YszzzzDE8++SQffvihrp769etz4MABtm/fzqOPPsoff/yBh4cHTzzxBEOGDGHVqlUMGTJE7/omJiZ89NFHPP/884wYMQIfHx9CQ0MB+Pfffxk1ahSffPKJDH0sS3ZuYOsGOZkMtT0HwLaT0vNQCFFJZKbBX/MBCG3zNDF3bhRYVEHheup1QmNDyyu6asXF2oXmds3JVrLZGrkVgIAWzvyd05J4xQpux8L5vwwcpRBCVHwG+Xri8OHDBAcH4+zszNChQzE2Ns633JYtWzh48CAAffr0oX379rpjmzdvJiQkRLft5eWV50NgUa9RGl7v8hQAy89+hqJJzHOsjfkk3fFi8RkE57bDybXQbbr+kqmi2stNNC1atMjAkVRvR44cISUlhQ0bNuj2+fn56Z5PmzaNJUuW4OXlxRNPPJHn3O7duwOgUqno3r07p06dIjExkStXrrBv3z5duYYNG1K7dm3ddrdu3QqMp2nTptSqVQuABg0a0Lp1a0xMTHTbMTExurhVKlWeuH18fHTPO3bsmOf68fHxD3gltObMmcO3335Lq1atsLS0JDQ0FHd3d+7cucOzzz7LzJkzWbt2Lba2tjz//PNFqlOUgHsf2P8FLe8cwFgzkPM3bnMu9hZudWoaOjJRQUgbIiqsQ99C0hWo6cwNl04Qve2Bp9xILTg5Jx7OANcBHI87zqbzm3jO6zka2dXAu74dG6M7Mtpom3aRBfdehg5TVCDSvgihr9wTb1u3bmXYsGE899xzrFu3jnXr1rF+/fpCz1m3bh21atXSS7xFRUXh6+tbKtd4WK93eYqXOzzBimM7uZR0jcArX5OhSuZSfCqKoqAqbuLM8zHQmEDcGYgNBwfvsglcVFp//vmnoUOoMMLC8k7u++abb+bp5u7m5qZX5scff8yz3bt3b70yReHo6IibmxurVq3K9/iSJUto2LAhp06d4t9//83zPnbx4kXd88jISBo0aICVlRWmpqbMnTsXDw+PfOs0KqQH7f3vNfdv5/Y0c3R0pHXr1kyfPj3fetTqvB2ic8/TaDQF9laLjY1l6dKlREZGUqNGDc6cOcPGjRvx9vbm0KFD9O3bl7Fjx9KuXTs+/PBDSbyVJffesP8LTC5sp7PrSP6OSCAoLEYSb0JH2hBRId25Cf98pH3u/wb2NesW6TR7C/syDKp669OoD+8fep9TCac4e/MsTWo3YWALZ9ZGddUm3k5v0f67mdd+cGWiWpD2RQh95Z54W7BgAR9//DFjxowhLS2NBg0acOLECb15ggD69etHv379OHfuXL519e/fn3Hjxj3UNUqTiZERI9v0AMDiQAI/n/6eGGUPoZdH0qZhMRsjM2tw6wln/tAON5XEm7hPSZJEovSNGDGCjz76iDFjxtCtWzdMTEywt7ene/fuhIaG8tFHH3HgwAHOnTvHs88+y6FDh3S91xYuXEhycjIJCQmsWrWKY8eOoVarmT59Ov3792fy5MnUqVMHgB49emBnZ1dqcU+bNo3evXuTlJSEt7c3arUaT09PWrZsWeh5DRs25JtvvsHV1ZVmzZrleV9Vq9XcuXOHzz//HBMTE37//Xc8PT0xMTEhOTkZGxsbAOzs7Lh161ap3YvIR4MOYGoNqfEMq3uDvyM0BIVdZ6K/m6EjExWEtCGiQtqzCNISwb4ptBxOa8DBwkFvYYVcKlQ4WDjQuk7rcg2zOqllVouudbvy15W/2HRhE9PaTKN/cyfm/9GQUzn1acoVCFsPvqMNHaqoIKR9EUJfuc/xdvjwYXr10nZHNjMzo3Pnzhw+fLhEde3evZsPPviAP/74I08PjOJcIz09neTk5DyP0jC0qXZlUk2Ns3y3v4TzTvgM0v48uVZ/AjkhRIVgY2PDsWPHaNy4McHBwWzYsIHdu3cDsH79en788UccHBzo1KkTM2bMIDAwUHfuBx98QGxsLPHx8fz999/Ur18fgHfeeYdPPvmEiIgINmzYwIYNG3RDPQcOHIiFhYWuDicnJ93QVnt7e3r06KE71rBhwzxDRj09PWnVqhUA7dq1Y//+/eTk5LB582Y2bNig+0OpTZs2uLu7685r0aIFnp6eAAwfPpwBAwawZcuWPCu2gjahtnr1aiIiIsjOzuZ///sfo0dr/xBv0KABx48fB7QrwObea1mLj4/n5MmTeVaGLUnZ69evExYWxu3bt8sizHxl52Rz6PohtlzYwqHrh8jOyS76yRpjcNMOZe6ccxiVCo5HJXE18U4ZRSuEEA8pKQr+/Ur7vMccUGvQqDVMaT0l3+IqtD26Z7SbIQsrlLEA1wAA/jj/B9k52dSxMqODqx1rs7tqCxxdacDohBCi4lMp5TjD9Z07d7CwsCA5OZmaNbXDXcaMGYOnpyevv/56gec9++yz+Pr68sorr+j25c7xdvv2bTZt2oSnpyfr168nLS2tWNeYM2cOc+fO1duflJSElZXVQ93vkI0jOJV4hKy43ux56T1sLU2LV0F6CnzoBll34MWd4NzqoeIRVUvu/Ift2rUzcCTlJy0tjcjISFxcXDAzMzN0OA+lffv2LF68OM/Q06ru0UcfJTMzk8jISDZv3qzXu66gf9/k5GSsra2L/b68ePFi3nzzTerUqUNOTg7BwcG4ueXf46ugstnZ2QwdOpS//voLJycnoqKiWLp0KcOHDy9SDCWNPfhSMAsPLszTy8PBwoGZ7WbSo2GPQs68x/HfYN0LUMebIeqPOXgxgXcGeDGqk0uR4xBVV3VsQ0QFt2ECHP0VGnaCkX/o5jdedHgRy04uQ6PSkK389wWEo4UjM9rNKPp7IiV/T64IDBl7RnYGj/7+KEnpSXzd82s6Onfkt0NX+HDtP/xrNgkNOTDpsHZxH1HtSfsiqovivC+Xa483c3NzLCwsSExM1O27efMm9vbFn5ehf//+zJkzhw8//JBDhw6xa9cuIiIiin2NWbNmkZSUpHtcuXKl2LEU5Dkf7aIKaqtDrD50ufgVmFpq5+kBba83Ie4xatQoRo0aZegwRAn17NmzVIeOVgZbtmxh/vz57N+//4FDWh9WXFwcb731FgcOHODChQsMGzaMd955p9hljx8/zq5du7h8+TInT57k66+/5v333y/T2IMvBTNt5zS9oVWxqbFM2zmN4EvBRavIrQeo1BAbxmDXHEBWNxX/kTZEVCgxYXB0hfZ5z3m6pFt0SjS/hP8CwCd+n7Cs9zLe7/I+y3ovY9vgbcVKuomSM9GY0KdRHwA2nd8EQG8fR5I0NuzKbq4tdEx6vQktaV+E0FfuQ01bt26tm3AxLS2NPXv20KZNm4eqM3fy8NyfxbmGqakpVlZWeR6lpUfDHpiozVGbJPDzkb/JzilB50If7ZBVwjZATk6pxSYqv9mzZzN79mxDhyFK6N133y2w91VVZWZmRrdu3cplmOlff/1Fq1at8PbWzo/5wgsv8McffxS7rJubGzY2Nvz222/s2bOHzZs366YyKAvZOdksPLgQBf32Inff+wffL9qwUwsbqP8IAL2MjgJw6GIC8SnppRavqLykDREVSvAcQAGvgVDvv4XTPj/yORk5Gfg6+OJf35+2jm3p17gfbR3byvDScpY73HTH5R3czryNtbkx/p72/w03PbZKPqsIQNoXIfJT7osrzJw5k2eeeYajR49y8OBB2rdvr5ucOzAwEAsLC90cRQcPHmTLli0cP36cuLg4EhMTefHFF3F2dmbhwoWkpaXphpr6+fnRpEmTB16jPJkbmdPPpS8bzq8jUbOXXREDedTToXiVNOkJJpbaZdWjDkGDR8omWFHpFHWomxDVUXR0NPXq1dNt161bl6SkJFJTU/PMkfegsjVr1mTcuHG8/vrr1KlTh8zMTNatW1fgddPT00lP/y+xVdx5Q0NjQwucRBy0ybfrqdcJjQ2lrWPbB1fo3gcu76f21b/wqfsKJ68mE3wqhqfbNihWXKLqkTZEVBiRu+Hsn6DSQPf/eiafij/F5gubAXjN9zW9VbpF+Wpm14xGVo24mHyR4EvBDHQbyMCWdZka1ppkamCVHAUX/4HGfoYOVRiYtC9C6Cv3Hm+PPfYYwcHB1K1bl4kTJ7JmzZoHnjNo0KAC50GqU6cOn376KevWrdM1yCW5Rll50kO7QIKR1Ql+2H+6+BUYm4PnY9rnYQV/2BNCCPEfc3Nz0tLSdNtpaWmo1WpMTfXn2iys7K5du/j00085f/484eHhfPDBBwwcOLDA6y5YsABra2vdo7i9+26k3ijVcrhrhwYR+Q/9PbQ9uoPCCk7sCSFEuVIU2P629nmbkWDrene3wseHP0ZBoa9LX7ztvA0X411r1qwhICCAoUOH6uawKm7ZwMBA/Pz8dI9nnnmmrMMuNSqVigGuA4D/hps+6lkHY1MLArPufk6TRRaEECJf5d7jDcDX1xdfX1+9/QEBAXm227VrV+CkjDNnzizRNcpbc7vm1KvRkKjbl/g3+i8uxfvS0LZG8SrxHgTHV2uHm/b+H0jXesF/vy/3rpJZXZTjmjCiHJXmv6ubm5tuFVXQztXm4uKCRqP//llY2bNnz+Ll5YW1tTUAnTt35tKlS2RmZmJsbKxX16xZs5g2bZpuOzk5uVjJN3uLos15WtRy2HtArYaQeIkAqwgWYsGes3HcSsukppl+/KL6qM5tiKhAwtbDtVAwrgF+//1tv+fqHg5EH8BYbczLrV82YIBau3bt4qWXXmLx4sXExMTQu3dvzp49m+9crYWVvXbtGlZWVrp2wtzcvLxv5aE81vgxPj/yOQevH+T67es41nCkl7cDa4905VmjHXAqENI/AtOahg5VGJC0L0LoK/ceb9WNSqViiKd2njZj6xBWHCjBIguuj4KZNaRch0v7SjlCISqP3KRJRkaGgSMRZSH33zW/5Fhx+fn5AfD666/z559/Mm3aNF544QXd8ZCQEN31CivbqVMndu3axTfffMM///zD5MmT6dSpU75JN3j4eUNb12mNg4UDKvIfUqVChaOFI63rtC5ahSoVePQFwClmF43tapCRncPOM0XsMSeEEGUlKwN2zNM+7zgZLOsA2rkuPzn8CQDDPYdT17KuoSLU+frrr3n99dd57rnneO211+jVqxfLly8vUVlnZ2ddj7dHHqlcU8jUtayLr4MvCopuGPDAlnU5orhxEWfITIVwSbYIIcT9JPFWDga4DkCNGo3FZVYdDSEtswiTYt/LyASaart2y3BTkSswMLDafZNkZGSEhYUFN27cIDU1lbS0NHlUkUdqaio3btzAwsICI6OH74ytVqvZsmULly9fZt68efTv35/XXnsNgOzsbMaNG0d8fPwDyzZt2pT169ezdetW3nzzTezs7Pjtt98eOr6CaNQaZrbT9vooKPk2o92M4k0qfnd1bNXZP+ntrf1guy1MVjet7qpjGyIqmNCf4GYk1LCHjpN0uzee38i5xHNYmVjxQvMXCqmg/Jw5c4ZWrVrptlu1akVERESJyv7999/06dOHl156ibCwsAKvmZ6eTnJycp5HRZC7yMKm85tQFIVOrrbY1jDlt8zO2gKyumm1J+2LEPpK9OkmPT2d6OhoFEXB2dk53zlzxH/szO3oUq8Lu6J2ccf0AH8c92dwm3oPPvFe3oPgyC8QvhH6fggag4wSFsKgVCoVTk5OREZGcunSJUOHI0qZWq2mQYMGpTaBtru7O6tXr9bbr9FoCAkJKVJZgJ49e9KzZ89SiakoejTswSd+n7Dw4MI8Cy3UMK7B/E7z6dGwR/EqbNhZu0hPSgyPO9zgS2Dn6VjSMrMxM5apC4QQBpB+C3Yu1D7vNkM3NDE1M5UvjnwBwIvNX8Ta1NpQEeZx+/btPMNCLSwsSElJKXbZgIAAPD09ycjIYOfOnXTu3Jnjx4/nOyXBggULmDt3binfycPr2bAn7x14jwtJFwiPD8fbzpv+zZ1Yv78Lrxn/jvribrh5CWo3NHSoQghRYRQ5e5Odnc1vv/3G999/z7///ouFhQUqlYrbt2/Tvn17Ro8ezdNPP10qQ4SqoieaPMGuqF0Y1wrl538vFD/x5tINLGwhNR4id4Fb97IJVFQaK1asAKrfykEmJiY0adJEhptWQSYmJqjV0hEbtMk3//r+hMaGsv3idlaeWUkNoxr41/cvfmVGJtopC04F4p64Byfr9kQnpbH3XBzdmxZzpW1RZVTXNkRUEPs+h9Q4sHHVLqpw18/hP3Pjzg3qWtZlmOcww8V3HycnJ6Kjo3Xb165dw8nJqdhlnZ2dcXZ2BqBXr14cOXKEHTt2MHLkSL16HnbO0LJiaWLJow0eZWvkVgLPB+Jt501Ay7r8tP8SBxRvOqhOauem7jbd0KEKA5H2RQh9RU68dezYkdatW/Pmm2/yyCOP6L7JuXPnDgcOHGD16tV8+umnHDhwoMyCrcy61utKbVMbbpLAyZsHORHVgmb1ivEtnsYIvAZCyDI4uU4Sb4L33nsPqJ6NmlqtxszMzNBhCFGmNGoNbR3b0ty+OVsubiH2Tix7r+2la72uxa/MvQ+cCkR1NoheXgP5af8lgsKuS+KtGqvObYgwsFsxsE/bq43ub4NGO2dm3J04fjj5AwAvt34ZE42JoSLU06NHD37++WeGDBnC7du3Wbt2LV9++eVDlY2Pj+f06dMFJvBMTU0r7KiiANcAtkZuZWvkVl7zfY3WDWpRr7Y5vyV1oYPJSTi6Arq+rp1nVFQ70r4Ioa/IXQs2bdrEl19+iZ+fX57u0+bm5vj5+fHll1/KWO5CGKuNGeDaX/vcOoTl/14sfiU+2kUaOL1JOyGtqNZ++OEHfvjhB0OHIYQoY6YaUwY01s7zuTZibckqadILUEH0MQY01u7aHh5DVnZO6QQpKh1pQ4TB7FoImbehrq/2S+W7vjz6JalZqfjY+tCnUR8DBqhvwoQJXLlyhSZNmtCkSRNatmxJjx7aYf/r169n+vTpRSr7yiuv4OfnR8eOHWncuDE9e/akV69eBrmnh9HeqT125nbcTL/Jnqt7UKlUBLRwZltOW9JU5tq5+y7/a+gwhYFI+yKEviL3eKtTpw4xMTE4OBT87XhhxwQ87vY4P4f/jFHNU2w8EcHsfl5YW+S/Ml6+GnQAS0ft6qbn/wKPivVHiShf7dq1M3QIQohyMrjJYH459Qu7onZxI/UG9hb2xavA0h7q+ULUIVqlHaS2RT1upmZy6OJNOrjalk3QokKTNkQYRNxZOPyT9nnPeboeUReSLrD2rPaLhWm+00ptrs/SUrt2bY4cOcLRo0cxNzfHy8tLd6xdu3a4uroWqezIkSNJTEzE1NSUxo0bV9rPTkZqIx5zeYyfwn9i04VN+DfwZ2DLuizdeZ7N2Y/wpHonHFsBDTsYOlRhANK+CKGvWJPpuLq68vjjjxMYGEhWVlZZxVRlNandBB87H1SqHHJqHOb3w1eKV4FaA96Pa5+fLGGvByGEEJWOW203Wti3IFvJZuP5jSWrxF37ZY3mbJBuiGmQrG4qhChPO+aCkq19P2rUSbd78eHFZCvZ+NXzo61jWwMGWDCNRkObNm3yJNIA6tatS/PmzYtUtmXLlvj5+dGhQ4dKm3TLNcBV2xN755WdJKUn4eFYE0/Hmvye2UVbIGwDZN4xWHxCCFGRFCvxdunSJbp3786cOXOoV68e06dP5/Tp02UVW5X0hNsTgHa46S8HLpGToxSvgtzhpme2SGNWzXl7e+Pt7W3oMIQQ5WRwE+37/7qz68hRSjBE9G7ijQs76eehnWM0KOw6ilLMdkhUCdKGiHJ35SCc2gQqNfSYo9t9OOYwf1/5G41Kw9Q2Uw0XnygWDxsP3Gu7k5mTSdDFIAACWjpzUPEgVuMA6clw+g8DRykMQdoXIfQVK/Fma2vL5MmTCQ0NJSgoiIyMDLp27UrHjh357rvvyirGKqWPSx9MNaZozGK4nHKGvefjildBvbZgXR8yUuDsn2UTpKgUevXqVSnnBRFClEzvRr2pYVyDK7eucOj6oeJX4OANVvUgK43ORqewMNEQnZTG8aik0g9WVHjShohypSiw/W3t85bDoU7Tu7sVPg75GIBBTQbRuFZjQ0UoSiDANQCATec3ATCguTMKalam3+3NeHSFoUITBiTtixD6ipV4u1eLFi1YvHgxu3fvJjMzkxdeeKE046qyrEys6NFQO8Gqca3DLN9/qXgVqFTgre01x8l1pRydqEwWLVrEokWLDB2GEKKcWBhb0M+lH1DCRRZUKt3coCbng/D3qAPIcNPqStoQUa7ObIXL+8HIDPze0O0OuhjEibgTmBuZM6HlBAMGKEqin0s/1Co1R28c5XLyZerbWNCmYW3WZt8dbnrhb0iONmyQotxJ+yKEvhIl3m7fvs3PP/+Mv78/jzzyCC1btmTfvn2lHVuV9bjb4wAYWx0l+HQU1xKLOWTUZ5D2Z0QQpKeUbnBCCCEqrMHu2uGmwZeDuZl2s/gV5A43jQiil5c28bZNEm9CiLKUnQXBc7TP248H67oAZGRnsDh0MQCjfEZhZ25nmPhEidlb2NPBWbuAwqYL2l5vA1s6c1lxIMzIG5QcOL7akCEKIUSFUKzE2549exg7dizOzs788MMPjBo1imvXrvHtt9/SoYOsWlNU7Rzb4VzDGZUmDbVlGCsPXi5eBU4tobYLZN2BiG1lEqOo+ObPn8/8+fMNHYYQohx523rT1KYpmTmZbL6wufgVNOoCxhZw6xo9bGIx0ai5cOM252JvlX6wokKTNkSUm6O/QtwZMK8NnV7R7V51ehVXU65ib27P817PGy4+8VACGv833DRHyaFfMyc0ahU/3+moLXB0hXaosag2pH0RQl+xEm/PPPMMzs7OHD16lL///psRI0ZgYWFRVrFVWWqV+r9eb7VCWHnwChlZxZgoW6X6b5EFGW5aba1cuZKVK1caOgwhRDnLXWRhbcTa4i+MYGwGjf0BqHExmI5utgAEhcWUaoyi4pM2RJSLjFTYuUD7vOvrYF4LgKT0JL4+/jUAE1tOxMJYPk9UVv4N/KlhXIOrKVc5EnsEO0tTOrvZsSX7ETLVptqk67VQQ4cpypG0L0LoK1biLTIyknnz5uHi4gJATk4JVlUTAAS4ab8dMrI4T3x6dPGH+uQONz23He4klm5wolLYvXs3u3fvNnQYQohy1q9xP8w0ZpxPOs+xG8eKX4F7b+3PiG308XYEYNtJGW5a3UgbIsrFv0vhVjTUagBtx+p2f3fiO5IzknGr5ab7MlpUTuZG5vRs2BP4b5GFgS2duYUFu9SPaAsdlSRMdSLtixD6ipV4U6u1xY8dO0aLFi0wMjLSHWvfvn3pRlbF1bWsyyNOj4BKwdg6lF+Ku8hCHS+w94TsDDizpWyCFBWajY0NNjY2hg5DCFHOaprUpFcj7WphayLWFL+C3MTb1cP0bAhqFZy4msTV4s43Kio1aUNEmbsdD3s/1T5/9C0wMgXgaspVfj31KwBT20xFo9YYKkJRSnJXNw26GERaVhq9vB0xNVLzU+rd4aYn10BWugEjFOVJ2hch9JVocYVx48bx7rvv5hnicuDAgVILqrp4wk27OqlxrcMcvBjH6evJRT9ZpQLvu73eTpZgdTtR6Z07d45z584ZOgwhhAE86f4koP2QcyujmPOz1XQE51YA2F7dhW8j7R/HQdLrrVqRNkSUuX8+hPRkcGwOPk/qdn8W+hmZOZk84vgIXep2MWCAorS0cWiDUw0nUjJT2HllJ5amRvRo6sDeHB+Sje3hzk3tonCiWpD2RQh9JUq8HTt2jD59+ui209PTMTExKbWgqovuDbpT07gmauObaCwu8Mu/xez1ljvc9MJOSE0o9fhExTZw4EAGDhxo6DCEEAbQ0r4lja0bk5adxtbIrcWvQLe66TZ63x1uGiSrm1Yr0oaIMpUQCYe+0z7vORfujpoJiwtjS6R2pMY032moVCpDRShKkVqlpn/j/sB/q5sGtHQmBzUbsjtrCx2T4abVhbQvQugrUeKtQYMGXL16Vbf9119/4enpWWpBVRdmRmb0dekLaBdZWB96lVtpmUWvwK4JODaDnCw4FVhGUYqKasKECUyYMMHQYQghDEClUukWWSjZcNO7ibfzf9PbwxqAQxcTiE+RoUDVhbQhokz9NR9yMrWLubg+CoCiKHx8+GMA+jfuj5etlyEjFKVsgOsAAPZe3UvcnTj8POypaWbET7mrm579E27HGTBCUV6kfRFCX4kSb3PmzOGZZ54BYNKkSQwbNoy5c+eWamDVxRNN7g43tQrjdlYKG45cfcAZ95HhptXWxIkTmThxoqHDEEIYyADXARirjTmVcIrw+PDinezUAmo6QeZt6iWF4lPXihwFgk/J6qbVhbQhosxcO6Kd0wu0vd3u2n11N4euH8JEbcLkVpMNFJwoKy7WLjS3a062ks3WyK2YGmno5+PEeaUuV8ybajsKnPjd0GGKciDtixD6SpR4Gzp0KEuXLuW9997DycmJnTt38vjjj5dyaNWDt603brXcQJWJsdVxft5/Kc/ceQ+UO9z04h64JR+YhBCiuqhtVpvuDboDsDaimF++qFTQRLtAAxFBsrqpEKJ0KApsf0f7vNkQbZIfyMrJ4pOQTwB4pukzOFs6GypCUYZye73lrm4a0FL77/xL2t1eb0d/NUhcQghhaEVOvCUn5534v2XLlrzxxhvMnj2bli1b5ltGPJhKpdIto25aO4SzsSkciCzGfG21G0HdNqDkQPjGMolRVEwjR45k5MiRhg5DCGFAg921w023RG4hNTO1eCd7aKc64Mw2ens5ALD3XHzxpjwQlZa0IaJMnP8LIneBxgQena3bveHcBs4nncfa1JqxzccaMEBRlvo06oOR2ohTCaeIuBlB+8a22Nc0ZfWdduSojeH6Cbh+0tBhijIm7YsQ+oqcePP392fWrFkcPXqUnJwc3f6cnByOHj3KzJkz8ff3L5Mgq7r+jftjpDJCZXYFtUkMy4u9yIL2gxdh60o/OFFhyYpBQoh2ju2oZ1mPlMwU/rz0Z/FOdukGRmaQdBk31RUa29cgIzuHv8/cKJtgRYUibYgodTk5EHy3t1vbsdovh4HUzFSWHF0CwEvNX8LKxMpAAYqyVsusFl3rdgVg8/nNaNQqBjR3JpGaHLfooC0kiyxUedK+CKGvyIm3ffv2Ub9+fcaOHYu1tTVubm64ublhbW3N2LFjadiwIfv27XtgPYqi8MUXXzBgwABeeuklrly5UmDZL774gh49etCjRw/WrcubVEpISOCtt97i8ccfZ/bs2cTHx+uOffrpp7rzevTowbx584p6mwZha25L13raRsq4VghBJ68Tm5xW9Aq8Htf+vLwfkqJKP0BRIe3Zs4c9e/YYOgwhhAGpVWpdr7diDzc1sdAm3wBVRJCsblrNSBsiSt2J37U9mkytoMtrut0/hf1E3J046lnWY6jHUAMGKMpDgGsAAJsvbCY7J5uBd4ebfp3UXlvg+G+QnWWo8EQ5kPZFCH1FTryZmpoyYcIEQkJCiIqKYt26daxbt46oqChCQkIYP348pqamD6xnyZIlfP755zz77LMYGRnRr1+/Auc069mzJzNnzgTg8uXLeY717dsXMzMzRo0aRVhYGAMGDNAdO3XqFD4+PsycOZOZM2fyxBNPFPU2DSZ3kQVzm6Nk5WSx6lDBCUk91nWhwd25E8I2lH5wQgghKqyBrgPRqDQcvXGUczeL+Q2ze2/tz4htunnedp6OJS0zu5SjFEJUaZlp2pVMATq/AjVsAYi7E8cPYT8A8HKblzHWGBsoQFFeutTrgrWpNTfu3OBA9AGa17Omka0F2zN9SDexgduxcH6HocMUQohyVaLFFaytrWnevDnNmzfH2tq6WOd++eWXLFq0iKeffpolS5aQnp7Orl278i3r4eFBjx49cHR01Du2fft2Zs+ezcCBA/n+++/Zv38/6enpuuOenp66Hm/NmjUr3g0aQOe6nbEztyNbdQsjy9OsOHCZrOycB5+YK3eRBRluWm0EBQURFBRk6DCEEAZmb2Gv6zW99mwxe73lJt6uHKS5TRZO1mbczshm77m4Uo5SVDTShohSdeg7SLoMNZ3hkfG63UuOLuFO1h2a2zWnd8PeBgxQlBcTjQl9GvUBIPBCICqVioAWzmRhxC4zP22hoysMF6Aoc9K+CKGvRIm3klIUhbNnz9KmTRvdvtatW3PmzJli12Vl9d/8EDt37qRNmzZ5etz98MMPBAQEMGvWLGJiCl7tMz09neTk5DwPQzBSGzGgsbbXnoVtKNeT0wg+FVv0CrwGgkoNVw9DQmQZRSkqkmnTpjFt2jRDhyGEqACedH8SgE0XNpGRnVH0E63rgWMzQEF1drtuuKmsblr1SRsiSs2dRNj9kfa5/yztMHbgfOJ51p3VfiH8qu+rqFQqAwUoylvucNO/Lv/F7czbutVNP49vqy1wZgvcuWmo8EQZk/ZFCH3lmnhLT08nMzMTc3Nz3T4LCwtSUlJKXOeRI0eYMWMGP//8s27fK6+8wnvvvceYMWO4ePEi/v7+ZGTk/0FkwYIFWFtb6x7169cvcSwPK3d1UyxOodLcYvm/F4t+smUdaNRF+zxsfWmHJiqgTz75hE8++cTQYQghKoBOzp2oY1GHpPQkdlwu5hAed23PBCK20ctbu7pp8KmY4vW6FpWOtCGi1OxZpE2i2HtCi+G63YsOLyJHyeHR+o/S2qG1AQMU5a2ZXTMaWTXiTtYdgi8F41anJt7OVpzIbsjNmu6QnQEnZZROVSXtixD6yjXxZmZmRq1atYiOjtbti46OxsnJqUT1HThwgCFDhrB27Vq8vLx0+3OHmQ4cOJAVK1aQmJhIeHh4vnXMmjWLpKQk3aOwxR7KWuNajWlh3wKFHIxrhbL3XDznYouRlMwdbioNWbXQu3dveveWYRtCCNCoNTzhpp0rtNiLLLj31f48/xft6ltS28KYm6mZHLyYUMpRiopE2hBRKpKi4MBX2uc95oDGCIBD1w+xK2oXGpWGV9q8YrDwhGGoVCoGuGpH8mw6vwlAt8hCIH7aQjLctMqS9kUIfeWaeAPo3r07y5cvB7QLJuzbtw8/P79i17N7926GDx/O2rVradGiRYHlIiIiSExMpE6dOvkeNzU1xcrKKs/DkHI/OFnXOQoo/HrgUtFPbhoAaiOIOQE3IsokPiGEEBXToCaDUKHiwPUDXEkuxpdIzq2ghj2kJ2MU9S89mmp7vf0ZVvA0DUIIAcDfCyArTbvI193eszlKDh+FaIeePun+JC7WLoaMUBhI/8b9ATh4/SDRKdEMaOGMSgWf32iFotLA1RCIO2vgKIUQonyUKPGWkJDABx98wEsvvcTYsWN1j6KYM2cO3377La1ataJly5a88sorODtrvwH55JNP+P7773VlN27cSI8ePdixYwdffvklPXr0ICJCm1AaOHAgarWaadOm6RZRiIvTTgb9+OOP06NHDzp06EDbtm2ZO3eu7hoVXe9GvTHTmJFGNGqzK6w5HEVqRhGX3Lawgcb+2ueyyEKV17lzZzp37mzoMIQQFYSzpTMdnbUrXBdrkQW1Gprkrm4aRB8f7TxvQWHXC1x1XFR+0oaIhxYTDsfu9lrqOQ/uzuG2NXIr4fHhWBhZML7F+EIqEFWZs6Uzvg6+KCj8EfkHTtbmtGtkQxzWXLbRtlXS661qkvZFCH1GJTlp4MCB1KlTh169eqHRaIp1ro+PDxcuXODIkSM4OzvTuHFj3bG+fftibPzfMuNt2rRh5syZec7PHZa6du1asrOz8xyrWbMmAFOnTiUzM5MaNWrg4eGBjY1NsWI0JEsTS3o16kXg+UBqOxwl/lIDAo9eY2i7BkWrwGcQnNuuHW7abYbujyBR9bi5uRk6BCFEBTPYfTB7r+1l4/mNTGw1EWO18YNPAvDoA0d/gTNb6fTou9Qw0RCdlMbxqCRa1K9VpjELw5A2RDy04Dmg5GhHXNTXTpqfkZ3BZ6GfATDaZzS25rYGDFAYWoBrACExIQSeD2SMzxgCWjpzIDKBX9M78Qa74dgqaOwHt2+ApQM07Ajq4n22FBWPtC9C6FMpJfg629zcnLi4OGrUqFEWMRlUcnIy1tbWJCUlGWzY6aHrhxgdNBpjlTkJp2bh5WjHH1M6F201qLQk+NBNO2np+H3g4F32AQshRBmqCO/LJVXesWdmZ9JjTQ8S0hJY7L+Y7g26F+3E9FvwQWNt2zHxEBP/TOGPE9GM93NlRh/Psg1aCFH5XNwDPz4GKg1MPAh22g/aP4X9xEchH1HHvA6bB23G3Mj8ARWVL2lPyldKRgp+v/mRnp3OysdWUtfcnbbvBaPOyeCU5Xg0Wal5T7Byhj7vg1eAYQIWQohiKM77comGmvbu3ZsDBw6UKDjxYL4OvtSzrEemcgezWmGERydz5Epi0U42swa3ntrnJ4s5wbYQQohKzVhjzEDXgUAxF1kwrQmN7g4LidhG79zhpidluKkQ4j6KAtvf1j5vM1KXdEtKT+Lr418DMKnVpAqXdBPlz9LEkkcbPAqgHc1Tw4Ru7vb4q4+gvj/pBpAcDb+NgPDAco5UCCHKVokSb++88w6DBg3Cz8+PPn366B6idKhUKh53exyAOs7HAfhlfzEWWbh3dVP5wFRlLVmyhCVLlhg6DCFEBTOoibYN2HttL9dvXy/6ibmrm0Zsw9/DHhONmgtxt4u3uraoNKQNESUWvgGuHgbjGuD335Qw3xz/hlsZt2hSuwkBrtJjSWjl/r+wLXIbmdmZBLRw4B3jnwsoffdzy7aZkJNdQBlR0Un7IoS+EiXennvuOZ577jlef/11XnnlFd1DlJ6BbgNRoeJmzilUxvFsPh5NfEp60U527wNG5nAzEq4dKdtAhcEsXbqUpUuXGjoMIUQF08i6Eb4OvuQoOaw/t77oJ7rfXWDh8r/UzLlFJzft3ExBYcVI3olKQ9oQUSLZmbBjnvZ5x8lgWQeAqFtRrDy9EoBpbaahkXm6xF3tndpjZ27HzfSb7Lm6h96WF3BWJVDwBDoKJF+FS/vKMUpRmqR9EUJfiRJvUVFRvP/++zz22GPS462MONZwpINzBwDq1Q8jIzuH30KiinayqaV2omyQ1U2rsI0bN7Jx40ZDhyFEobJzsjl0/RBbLmzh0PVDZMs32OVisPtgANafXV/017x2Q6jjBUo2nP+L3t7a4abbJPFWJUkbIkrk8I+QcAFq2EPHSbrdn4V+RmZOJu2d2tPJuZPh4isjOTk5TJ06FRsbG+rVq8c333zzUGWvXr2KnZ0dzz//fFmGXSEYqY14zOUxADZd2IRZWlzRTkyJKcOoRFmS9kUIfSVKvD3xxBNs3ry5tGMR93nC7QkAciwPATn8euAS2TlFHDrqfXe4adgGyMkpk/iEYbm5ucmqQaJCC74UTO+1vRkdNJoZu2cwOmg0vdf2JvhSsKFDq/J6NuyJlYkV0bej2R+9v+gn5vZ6O7OVHl4OqFVw8moyUTfzmYtHVGrShohiS78FOxdqn3eboZ0bEjgZd5KtF7eiQsWrvq8WbTGwSmbFihUEBQVx+PBh1qxZw6xZszhz5kyJy44fP57HHnuM7Ozq8WXUANcBAOy8spMkU8uinWTpUHYBiTIl7YsQ+kqUeNu/fz9Dhw7Fzc0NHx8f3UOULv8G/liZWJGceQOr2heJunmHXRGxRTu5SU8wsYSkKxB1qGwDFQaRkJBAQkKCocMQIl/Bl4KZtnMaMal5v7GOTY1l2s5pknwrY6YaU/o37g8Uc5EF97u9pc9tx85cg28jGwD+DJOeB1WNtCGi2PZ9DqlxYOOqXVQBUBSFj0I+ArTJFU+bqrkK8qpVq3j55ZdxcXGhffv2DBkyhFWrVpWo7HfffUerVq1o1apVeYVvcB42HrjXdiczJ5OgnESUms4U1JdAQQVWdaFhx/INUpQaaV+E0FeixNuaNWs4fvw4GzZsYNWqVbqHKF2mGlP6ufQDoH6DkwAsL+oiC8bm4Knt1i3DTaumLl260KVLF0OHIYSe7JxsFh5ciIL+X9W5+94/+L4MOy1jucNNd17ZSdydIg7tqdcWzG0gLQmuHKCPDDetsqQNEcVyKwb2faF93v1t0BgD2veXwzGHMdWYMrnVZMPFV8YuXbpEkyZNdNtubm5cvny52GUvX77MTz/9xJtvvvnAa6anp5OcnJznUZnlLrIQeGEzR320i3Lcn3xTFG0y94j3DJB5AistaV+E0FeixNu9vdykx1vZeqKJdrhpdFYIqFPZGXGDy/FFHPKTO9z02Go4/htE7pYVgqqQYcOGMWzYMEOHIYSe0NhQvZ5u91JQuJ56ndDY0HKMqvpxr+1Oc7vmZClZBJ4PLNpJag006aV9HrGVXt7aoT4hFxOIK+oCP6JSkDZEFMuu9yHzNtT1Ba+BAGTlZLEodBEAzzZ9FscajoaMsMzdO4RWpVKhKAVP/1JQ2XHjxvHZZ59hbGz8wOstWLAAa2tr3aN+/foPEb3h9XPph1ql5tiNY4w7Zsr4zFe4jk2eMgoqXs0cz4TQekWfXkdUONK+CKGvRIm3hIQExo4dS6NGjWjYsCFjx46V7qRlpKlNUzxqe5CZk0FTt/MoCvx6sIi93jJTARWk3YR1L8BP/WGxD4QX8QOYqNDefPPNIn1jKkR5u5F6o1TLiZLL7fW27uy6Qj8k5pG7OE9EEPVqW9CsrjU5CgSHy3DTqkTaEFFkcee0iyoA9JwHd5NK686uIzIpktqmtRnTbIzh4isH9evX59y5c7rt8+fPF5gIK6hsYmIiW7dupW3bthgZGfHqq6+yYsUKOnfunG89s2bNIikpSfe4cuVK6d5UObO3sNctHHdTvZ+gnHZ0Tv+MoRlv8nLGBK7k2KFWKbiqrxGdlMbBSPlsWVlJ+yKEvhIl3saNG8etW7fYvHkzW7ZsITExkfHjx5d2bALtt2SPuz2u3ah5EIDfDl0hLfMBPdfCA2HNaLh/qFdyNPw2QpJvQogyY29hX6rlSuro0aP07NkTT09PpkyZQnp6wT22Cit7+/ZtXnvtNXx8fGjUqBGzZ8/+P3v3HRXVtQVw+DeF3kEBxY4VO4q9i2I0aqLRqMmzxGhsiTX2GmNLolGTWKPG2GMSWyzYu4iKvYsIiiAi0vvMvD8uokgVZxjK+daalWHm3Hs37yWcmXP32VuncWtTh3IdMFWa4h/pz8VnF3N2kHMbkCsh9B688MUjJevNU2w3FYSi6cgsqdtx5Q5QTupYGpMUw29XfgPgq9pfYWFoofMwVGoN53xfsOtKIOd8X+RpRlSPHj345ZdfePr0KVevXmXbtm307NnzncZaW1uTlJREfHw88fHx/Pjjj/Tu3ZsTJ05keB4jIyMsLS3TPAq6LhWk7aYGVpcBNWrkeKld2KVuxnfJfQH4QnGA4rwkJCpej5EKgiBoV64W3jw9PVmxYgU1atSgevXqrF69Gk9PT23HJqToVKETSrmSJ7H3cSwWxsvYJPZeC8r8ALUKDkwg3aIbvH7twESx7bSAGz16NKNHj9Z3GIKQTnW76ihlykzflyHD0dQRV3tXncWQnJxM586dcXd3Z/PmzVy/fp158+blamz//v25efMma9eu5fjx44wZM0ZncWubqYEpH5T/AIC/7/2ds4OMrV4Xtb7nSYca0vaxMw9eEBWfpIswBT0Qc4iQI48vwO3dIJND2xmpL/9x8w/C4sMoY1GGnpUzXoDSpgM3gmi24Ci9V3sxcusVeq/2otmCoxy4kcXnYS363//+R+PGjalYsSKtW7dm6tSpVK9eHYBly5bRqVOnHI1VKpWpD7lcjkwmQ6EoOrXMWpdpjbHCFLnhSxQmaXfwHFLXw0ddEVNZAl8rd2JvYaynKIX3JeYXQUgvVwtv1tbWPHr0KPVnPz8/rK2ttRSS8DYbYxtal24NQIUKtwHY4JXFdlP/sxD5NIszaiAyUBonFFgHDx7k4MGD+g5DENJZ4rOEZE1yhu/JkLYoTWgwAYUOCycfOXIEc3NzJkyYgKurK/Pnz2fdunXvPPbOnTscOHCAzZs306BBA8qVK4ednZ3O4taFTyp/AkidZiMSInJ2UGVpsY57B6hob0GF4mYkqtQcuyu2BxcWYg4RsqXRwKHp0vPafcDBBZC6U6+/uR6Aka4jMVBkX6/sfRy4EcTQjT4ERaTNgAqOiGfoRp88WXxTKpWsXLmS2NhYwsLCGDVqVOp7Q4cOZc+ePTka+6aRI0fy559/6jjy/MVEaUKHch4AGFi9XedVxoIkqS5YH+VRGljlcL4S8h0xvwhCerlaeJswYQIffPABY8aMYcyYMXTs2JHx48drOzbhDa+2m/onnMRAoeLK43CuP8lkQorOYR2enI4T8qWbN29y8+ZNfYchCGmcfHKSzXc2AzCo5iAcTB3SvO9g6sCiVotwL+uu0zj8/PxSMwwAXFxcePLkCcnJ6RcEsxp77do1ateuzZw5c3BxcaFbt27cvXs30+vmxy501e2qU8WmConqRP57+F/ODqosfTHC/wzER6R2N/W8IbabFhZiDhGyde8ABJwFpTG0npz68rIry4hLjqN28dq0K9tOpyGo1Bpm7bmV1R4OZu25pddC/DKZDLn83b9S5fa4gq5Lxc4AKC2vIZOlzaI+r6nGcVVtlKhQHJ+jh+gEbRDziyCkl6u/9sOGDWPHjh1YW1tjY2PDjh07GDZsmLZjE97QpGQT7E3siUyMoJ6L9MVnY2ZZb+YOGb+e23GCIAg58Dz2OVNPS8V0P6/2Od+4foNnd0/WeqxlQfMFrPVYy4HuB3S+6AaQmJiYpmucgYEBarWapKT0WyWzGhsTE4O3tzclS5bk77//plKlSnTt2jXT6+bHLnQymSy1ycLf9/7OWZMFO2ewqwTqZPA9ikfKwtuxuyHZ1xgVBKHgUyXD4ZnS84ZDwMoJgAcvH7DjwQ4AxtUfl6Z7py54+4Wly3R7kwZEIf4Cpp5DPUqYlUCmSMDO/n6a9wwVMgzap2xpvvE3BF3TQ4SCIAjal6uFt3LlytG4cWOmT5/OtGnTaNy4MeXKldNyaMKblHIlXSpKBUkVlhcA2HU1kIjYDOrtlG0CliWBzD4MycDS6XUNH6FA8vb2xtvbW99hCAIAao2ayacn8zLhJVVtqzK6nlTbQyFX4OboRscKHXFzdNPp9tI3OTk54e//+uaEv78/NjY2mJiYvNPYUqVKYWdnx5gxY3BxceH777/n3r17vHjxIsPr5tcudB3Ld8RIYcSD8AdcC83hF5k3upvWKmVFCStjYhNVnL4fqrtAhTwj5hAhS1c3w/M7YGIDzV7Xalp0aRFqjRr3Mu7Usa+j8zByWmBfFOIvOOQyOR9W+BAAt5p+bBnUiO+6VsdALiNRpUHtWAtqSCUSOPKdHiMVckvML4KQXq4W3t78ggIQERHB8+ei7ouudXWWsixuvPSmUgkV8Ulq/vZ5kn6gXAEdFqT8kNHimwY6zJfGCQXWgAEDGDBggL7DEAQA1t9cj1eQF8YKYxa0WIChwlCv8bRt25YbN27g5eWFRqNh6dKlfPTRR+88tnnz5gBcvCh1BN23bx+2trbY2NhkeK782oXOysiK9mXbA/DPvX9ydlDllIW3+weRadSpWW8bvB7ppaugoF1iDhEylRgLx+ZKz5uPAxNrAM4HnedU4CmUMiWj6o3Kk1ByWmBfFOIvWDo7S9tNzwaeIUZ5mWIOt/CoHwOoWXToHprWk6Xu2g8OwaPT+g1WeGdifhGE9DJvO5eBqlWrZvg8NDQ005bagvaUsyqHq70rPiE+VKl4j/tB1djo5c+AJuWQy99aYHPpAj3/lLqbvt1owc4ZqnXOu8AFnZgyZYq+QxAEAG6G3mSpz1JAappQwaqCniOSmgAtXryYdu3aIZfLKVOmDPv27QNApVLh7OzM6dOnKVWqVJZjjY2NWbZsGR06dEChUCCXy9m4cWOBrMvTvXJ39jzcw4FHBxjvNh5zQ/OsDyjdSOpwGvsCnlzExtQWgBP3QjlxT8p6K2FlzIzOLnSoUULX4QtaJuYQIVPnl0NUEFiVgQaDACmreeHFhQD0qNKDspZl8ySUBuVtKWZuSGh0YobvywBHK2MalLfNk3gE7ShvVZ6yFmXxj/Jn9PHXGZXmFa24/qwzJ0IH0Mq1H1xcA4dnwcCDoONtzYL2iPlFENKTaXJU7EVy584dADp06MCBAwekE8hkWFlZ4ejoqJsI81hkZCRWVlZERETkm0yFN+24v4PpZ6dT2qIMAVe/JjpBxYaBDWheqXjGB6hVUvfS6GegMIR/BoEqHj77GyrptiCuIAiFX2xSLD329CAgKoB2ZduxsOVCrdf8eZ+/y/Hx8YSHh6ebox49ekSpUqVQKpXZjgVISkoiLCwMe3v7d/r98tOcotFo6LqrK34RfkxvPJ0elXtkf9DfA+HG3/hWGYz71VbpCpy/+l9i+eeuYvFNEAqDmBewtA4kRMLHq6D2pwDs8d3D5NOTMTcwZ2+3vdga581CV2KymtY/HScwPC7de7n5+5Of/ia/q4Ic+9sO+x9Os+D2Jo0GHOMHc6jPJ8iW1oXkOOi1Gap2yuMoBUEQsvYuf5ff6ZZ91apVqVq1Ko8ePUp9XqVKlUKz6FYQeJTzwERpwuOoAFrVigFgw7lMmiyAtJ20fHOo+YmUBdfgS+n1Y3OlmU0QBOE9zD0/l4CoABzNHJnReIbOC22/K2Nj4wznqHLlyqVZdMtqLEgNFxwcHPLd7/cuZDIZ3StJTRbeebvpvQP5uqugIAhacuonadHNsSbUlBbnE1QJ/HL5FwAG1hyYZ4tuAEuO3CMwPA5zIyX2FkZp3nO0MhaL/gWQSq1ivvf8LMcEKbdx+IkGGg2VXjjynZRMIAiCUEC901bTV5KSktiwYQO3b99O0yFu8eLF2opLyISpgSke5TzY+WAnSquLQDMO337G0/A4SlqnLxqeTtNRcHEtPPWBe56vi2cLBU6XLlKzjd27d+s5EqGo2u+3n12+u5DL5MxvPh8rIyt9hyRko7NzZxb7LObmi5vcCbtDVduqWR9QsS0amQJnTQClZM95okmfXf1mV8HGzna6CVzQOjGHCOm8fATeq6Xn7rMgZUv9ptubCIoJwsHUgc+rfZ5n4Vzyf8ny474A/NSjFu1cHPH2CyMkKh57C2l7qeLtUitCvucT4sOz2GeZvi+TgcwggvnH9uP+xTfILq6VGn1c2wZ1+uRhpEJuiflFENLLVZGawYMHc/DgQX766Sfs7e3ZuXMnMTEx2o5NyMTHFT8G4OyzI7hVMEWtgS3eATk72Lx4ar0OjousN0EQcudJ1BO+Oyd1GxtUcxD1HOrpOSIhJ2yNbWlTug2Qw6w3U1te2NYFoI3cJ8uhoqugIBRwR78HdRJUaAUV2wIQHh/O79d+B+Drul9jrMybJgaxicmM234VtQY+rutEhxolUMhlNHa2o2sdJxo724lFtwLqeWzOGvL5RwRz8GECNB8jvXBsLiQn6DAyQRAE3cnVwtuuXbtYtmwZABMnTmTXrl3cuHFDq4EJmatrX5eylmWJS46jRiVpwW2L92MSk9U5O0GTkWBgBkFX4e4+HUYq6NLu3bvFnSRBL5LVyUw8NZHopGjqFK/DkNpD9B2S8A66V5a2m+59uJe45PR1k94WU9YdgLbyy1mOE10FCxYxhwhpPL0C17dLz91npb688tpKopKiqGJThQ8rfJhn4SzYfwe/0BgcLY2Z2aV6nl1X0L3ippnUpX6LJtmCxYfvo64/CCxKQMRjuLBGx9EJ2iDmF0FIL1cLby9fvsTW1hY7OzuePXtGhQoVuH79urZjEzIhk8n4qOJHAPjGH6W4hRGh0Ql43gzO2QnM7KDhV9LzY/NAncMFO0EQBGDF1RVcfX4VCwML5reYj1Keq6oFgp40KtEIJ3MnopKiOOR/KNvxpRp1k46T38KU9FltMqTupqKroCAUMGoV+J2C63/Dnm+k12r2gJJ1AHgc+Zitd7cCMKbeGBRyRZ6EdeZBKOtT6hf/8EktrEwM8uS6Qt5wtXfFwdQBGRlnLMqQYW/igKmqEreDIvG8FwGtJkpvnvoJ4iPzMFpBEATtyNXC2yudOnViwIABfPbZZzRq1ChHx0RFRdGrVy9sbGyoXr06x44dy3Ts6NGjMTY2xtjYmF9//TXH53mXaxRUnSt0Ri6TcznEh46u0pfeDV5ZNFl4W5OvwdACnl2HO//pKEpBlzZv3szmzZv1HYZQxFwMvsjq61INoGmNp+Fk7qTniIR3JZfJU0sW5GS7qaJ4ZWLMymAkS6a5POObbDM6u4htXwWMmEOKuFu7YXENWP8h/DNQ2gUBUOb15/kll5eQrE6mSckmNHFqkidhRcYn8e12KZbPG5WhReWcZUcJBYdCrmBiA2khLbPFt0kNJzKgmTMAPx++h7r2Z2BXEWJfwLnf8ixWIXfE/CII6eVq4e35c2lv/qpVq+jWrRtt27bln39y1iHtu+++IzIykhs3bjB16lQ+/fRT4uMzrgvz448/Eh4eTrdu3UhOTs7xed7lGgWVg5kDTUpKH4KMrH1QyGV4+4VxJziHd4FMbaFRyvaw4/NF1lsBNGfOHObMmaPvMIQiJCIhgomnJqLWqOnq3JUPyn+g75CEXPqo4kfIZXJ8Qnx4GP4w68EyGWY1pS1mHxpfS/f2gKblRFfBAkjMIUXYrd3wV1+IfJr+vb3j4NZurj2/hucjT2TIGFNvTJ6FNmv3LZ5GxFPWzpTJHavl2XWFvOVe1p1FrRZhb2qf7r1hdYbhXtadgc3KY2Gs5N6zaPbefA5tpkkDzv0K0TmrEyfoh5hfBCG9XC28FStWDAAjIyMGDx7MyJEjsbLKWTe7LVu2MH36dJycnOjduzcVKlTg4MGDGY5VKpUYGxsjl6cPM6vzvMs1CrJXGQtHHu+lXTXpjuDGd8l6azwcjCwh5Cbc3qWLEAUdWrduHevWrdN3GEIRodFomHl2Js9in1HWsiyTG07Wd0jCe3Awc6CFUwsA/r3/b/YHVPYA4EOT62z5sgFLetWhZ71SAJy8H4pKLRr1FDRiDimi1Co4MAGpH3HGNAcmsvDiTwB0ce5CFdsqeRKa581g/vF5glwGi3rWxtRQlDEozNzLuuPZ3ZO1HmtZ0HwBrUu3BuBU4Ck0Gg1WJgYMal4BgCVH7qOq2gVK1IHEaDi1UI+RC9kR84sgpPdeW03fVXJyMkFBQVSuXDn1tUqVKuHv/w6LRdmc512vkZCQQGRkZJpHQdGqdCusjawJiQvBtWoIADt8AomKT8rZCUxsoNEw6fnx+dKHMaHAaNCgAQ0aNNB3GEIR8c/9fzgccBilXMmCFgswNTDVd0jCe3rVZGG3724SVYlZDy7TBIwskcWE0Ng4gK51nJja2QVLYyUPQqLZdz0oDyIWtEnMIUWU/9mMM91SaTiaHIZPyGWMFcaMqDsiT8IKjU5g8r/SVvbBLZypV1bUjCwKFHIFbo5udKzQkemNp2OiNOHa82scDTgKSBnVViYGPAiJ5r/rQeA+Uzrw4hp4+W7fH4W8I+YXQUgvTxfeNBoNGo0Gmez1fn65XI76Hbc5ZnWed73GvHnzsLKySn2ULl36HX8r/TFUGNKpQicA7sYcpUJxM2ISVey8HJjzkzQaCsZW8PwO3Nyho0gFQSjIHoY/ZIH3AgBG1h1JdTvRYa4waObUDHsTe14mvOTo46NZD1YagnMb6fm9AwBYGhswsJmUjfDL0fuoRdabIOR/0c+yfDsJWGxjDcD/XP6Ho5mjzkPSaDRM2XGdFzGJVHW0YHS7Sjq/ppD/FDMpxufVPgde1xe0MDZgcIuUrLfD90ku1xLKtwRVIhyfp89wBUEQ3kmeLrwZGBjg4OCAr69v6mu+vr7vvNiV1Xne9RqTJk0iIiIi9fH48eN3/K3069V206OPj/KJmw0gNVnQaHL4BcjEGhqn3M08sUBkvRUg1atXp3p1sQAi6FaCKoHxJ8cTr4qncYnG9K3eV98hCVqilCvpWrErkLMmC1TuIP3z+napC6LfKfo3Lp1ag+dATjtrC/mCmEOKKHOHLN/+x8KcR4YG2BqY80WNL/IkpB2XA/G8+QwDhYyFPWtjpMyb7qlC/jOgxgCsjazxi/Bj1wOpDE6/JuWwMTXgYWgMu648BfcZ0uCrW+HZLT1GK2RGzC+CkF6uFt62bt2a6wt+8sknzJ8/n+joaPbv38/t27fx8PDQ6nne5RpGRkZYWlqmeRQkVWyrUM22GsnqZAytrmJioODes2i8/cJyfpKGQ8DYGkLvwY2cNckQ9K99+/a0b99e32EIhdziS4u5+/IuNkY2zGk2B7ksT+/XCDrWrVI3ALyCvHgclc2NJ01K5vhLP6kL4voPsVpZlzlV/QBYekRkvRUkYg4poso2AYuSGb4VLZOx3Eaq2Tyk7gjMDc11Hs7T8Dhm7L4JwMi2laheMmc1o4XCycLQgkE1BwGw7Ooy4pPjMTdS8lVLqcPp0qP3SXasCy5dAQ0cna3HaIXMiPlFENLL1Teo4cOHk5iYTT2YTMycOZPIyEisra0ZOHAga9euxczMDIChQ4cybdq01LErVqzA2NiYLVu28O2332JsbIyPj0+258nqvcLoo4ofAeAZsIeP6kofpja8S5MFY0to8rX0/Ph8UCVnPV7IF37++Wd+/vlnfYchFGKnnpxi4+2NAHzf7HuKmxbXc0SCtpWyKEXjEo0B2HE/i3IDt3bDruHpX48MovOdiXxkdIk7wVEcvCWy3goKMYcUUXIFlM649tJaa0vCFArKGRfjkyo9dR6KRqNhwj/XiIpPpk5pa4akLK4IRVuvqr0oaVaSkNgQNt/ZDEDfxmWxMzPE/0Us/14OlDqcyhRwdx8EeOk5YuFtYn4RhPRytfDWu3dvNm/enKsL2tnZcfDgQRITE3n69Cldu3ZNfe+XX35hxowZqT8PGjSI8PBwYmJiiIqKIjw8nLp162Z7nqzeK4w6VeiEgdyAO2F3aOqSAMCBG8GERMXn/CQNvwITWwjzlbYRCYJQpIXGhTL1zFQAPqv2GS1KtdBzRIKuvGqysOvBLpLVGdx4ybILogYZ8J3RRuSoWXLkgch6E4T8LPg63PlPem5ik/ryM4WCDVbSro9RjaZiIDfQeSgbvfw5dT8UYwM5C3vWRqkQGdWCVMN6eF3pRs/v138nIiECU0MlQ1ulZL0duU+SjTPU/Uw64PBMyGmJHUEQBD3J1Qx35MgRBgwYQNmyZalRo0bq450uLE9/aaVSiVL5unW4QqHA2Ng4zePNpgmZnScn7xUmVkZWtC3TFoBrEYeoV9aGZLWGrd7vUK/OyAKafiM9P7FAZL0VAN9//z3ff/+9vsMQCiG1Rs2U01MIiw+jsk1lRtcbre+QBB1qU7oNNkY2hMSFcOrJqfQDctAF0TLxGS2N7nM7KJJDt7Mu3i7kD2IOKYJUSbBzGKiToVpnVGPucqHrIva1HsWM2u2Il8moa1+XNmXa6DwUv9AY5uy7DcDEDlVxLq77ba1CwdGpfCcq2VQiKjGKNTfWAPBZw7IUMzfiycs4/r70BFpOBIURBJyD+4f0HLHwJjG/CEJ6uVqZ2r59O9evX2fv3r1s3bo19SHoz6smC3sf7qVXgxIAbD4fQLLqHTrGug0C02JS/Z5r4v/P/G7Lli1s2bJF32EIhdCGWxs4+/QsxgpjfmjxA0YKI32HJOiQgcKALs5dAPjnfgZ1PrPpgvhKt8pSQfSlR+7nvMGPoDdiDimCzi6F4GtgbM3h2h/hsbMTX1xbzIRH/3LmpVSkvkWpFulucmubSq1h7F9XiE9S08TZjr6Ny+n0ekLBo5ArGOU6CoDNtzcTHBOMiaGCYSlZb78efUCCmSM0HCwdcGQWqN/hO4+gU2J+EYT0crXw9irDzcXFJdcZb4J2NSzREAdTByITIzGxvo2tmSHBkfEcvh2S85MYmUPTkdLzEz9Id0aFfOvUqVOcOpVBdoogvIdbL26x2GcxAN+6fYuztai5UxR0qyw1WTgVeIpnMW8ttGXTBfGVlq61MDVUcPNpJEfeZe4R9ELMIUVMyB2pji9wuPEAxpz/jmex6RfVl/os5bD/YZ2GsvKkLz4B4VgYKfmxR23kct0u9AkFU3On5rjau5KgSmD51eUA9GlYBgdLIwLD4/jr4hNoNgaMrODZDdEgLh8R84sgpJerhberV69Su3btNNtCGzVqpLWghHenkCvoWlGqZfffw9186lYakOpnvBO3L8HMHsL94Uru6vgJecPW1hZbW1t9hyEUIrFJsUw4OYFkdTJty7SlR+Ue+g5JyCMVrCrgau+KWqNm54Odad8s2wQsSwKZfTmWgaUTllVapGauLBFZb/memEOKELVKao6iSkRVsR3zQ06jybBmo2SB9wJUapVOQrkdFMnPh+4BML2zC07WJjq5jlDwyWSy1FIXOx/sxDfcF2MDBcNbVwRg2bEHxBtYvS6Vc+x7SM5d8z9Bu8T8Igjp5WrhbciQIcyePTvNh+rz589rLSghdz5y/giAs0/P0q6mETIZnH4Qiu/z6JyfxNAUmo2Snp/8UUxg+diDBw948OCBvsMQCpH53vN5FPkIe1N7ZjaeqfPtRkL+8knlTwDY8WAHas0bW3bkCuiwIOWHTP6d6DAf5AoGNS+PiYGC64ERHLsrst7yMzGHFCFeyyHwIhhZ4tPoiwwz3V7RoCE4NhifEB+th5GYrGbMX1dJUmlwr+bAJ/VKaf0aQuFSx74ObUq3Qa1Rs9RnKQCfupWmhJUxQRHxbLvwGBoNlZIGXj4Cn/X6DVgAxPwiCBnJdcZbhw4dUn9OSEjA0NBQa0EJuVPasjT1HeqjQcPFF4doU8UegJ8877LrSiDnfF+gykm3ufpfSFuLIh7DlY06jlrIra5duxb6jr1C3jnw6AA7HuxAhoz5zedjbWyt75CEPOZe1h0LAwsCowPxeuqV9k2XLtDzT7Askf5Al67S+4CduRF9G5cFYMlhkfWWn4k5pIh44QtHZ0vP23/P8xx+8n8e+1zroSw5co/bQZHYmhkyr1tNcXNHyJGRriORy+QcfXyUKyFXMFK+znr77dgD4mXG0HK8NPjED5DwDgkHgk6I+UUQ0svVwluZMmUIDAxM/fno0aNUrVpVa0EJufdxJanJws4HO6niKHWI2n8jmJFbr9B7tRfNFhzlwI2grE9iYALNx0rPT/4EyQm6DFnIpWHDhjFs2DB9hyEUAk+jn/Ld2e8A+LLml7g5uuk5IkEfTJQmdKrQCYC/7/+dfoBLFxh1A/r9B93XQKtJ0uu+xyAuPHXYoBYVMDaQc/VJBMfvaf/Lu6AdYg4pAtRq2P01JMdD+Zbg2pfipsVzdGhOx+WUT8BLlh/3BWDuxzUobiGa9gg5U8G6Ah9V/AiAny/9jEajoWf90jhZmxASlcCm8wHg2g9sykFMCJxfrtd4BTG/CEJGcrXwNnPmTD777DMARowYQe/evZk1a5ZWAxNyx72MO2YGZjyOeszK8+mL4wZHxDN0o0/2i2+u/cCiJEQGgs+fOopWeB/Dhw9n+PDh+g5DKOCS1clMPDWRqKQoahWvxdA6Q/UdkqBHr7abHnt8jBdxL9IPkCugfHOo+Qm0GA/Fq0FCBHivSh1SzNyIzxuKrLf8TswhRcDFNeB/BgzMoMsvIJPhau+Kval9pofIkOFo6oirvavWwohNTGbsX1dRa+Djuk50qJFB5qwgZGFo7aEYKYzwCfHhVOApDJVyvm4jZb0tP+5LnFoBbaZJg88shdgwPUYriPlFENLL1cJbr169WLZsGXPmzKFEiRIcP36cjz76SMuhCblhamBK+7IeABhYX0z3/quvP7P23Mp626mBMTQfIz0/tRCS4rUcqSAI+cGqa6u4HHIZMwMz5jefj4HcQN8hCXpUxbYKNexqkKxOZo/vnqwHy+XQ8lvp+bnfID4y9a3BLStgpJRz5XE4p+6H6jBiQRAy9NIfDs2QnrebBTbSYrhCrqCabbUMD5Gl1HCc0GACCrlCa6Es2H8Hv9AYHC2NmdmlutbOqw/37t3j8ePH7z32wYMHBAcHazO0Qs3RzJE+1foAUtabSq2ie71SlLY1ITQ6QWomV70bONSEhEjpu4sgCEI+kquFN4BatWrRu3dv+vTpQ61atbQZk/CeKpu2BUBpeR3k6beJaoCgiHi8/bK5G+TaFyxLQVSQKFaaD/Xv35/+/fvrOwyhALv07BIrr60EYFqjaZS2KK3niIT8oHvl7gD8c/+f7LPVXD6CYpUhPhwurE592d7CmM9eZb2JDqf5kphDCjGNBvZ8A0kxUKYJ1B+Y+tb5oPOceHICAGsj6zSHOZg6sKjVItzLumstlDMPQll/zh+AHz6phZVJwby5ExUVRZMmTWjVqhW1atVi4MCBuRp75coVatasSadOnXBxcaFLly7Ex4ub2zkxsMZALAwteBD+gL1+ezFQyPm6TSUAVpzwJSZJDe4pi83eqyHiiR6jLdrE/CII6eVq4e3SpUtUqVKFFi1a0LJlS6pUqcKlS5e0HZuQS+ZUQJVQHJk8CQOLa5mOC4nKZqJXGkGLlFpvpxZCUpwWoxTel+gYJLyPiIQIJp6aiFqjpotzl9TaXoLwQfkPMFGa8CjyEZeeZTO3yxXQIiXr7eyvaYpaD0nJervk/5IzDzLYtirolZhDCjGfP+HhcVAaQ9dfpexUIDIxkqlnpgLStvLjPY+z1mMtC5ovYK3HWg50P6DVRbfI+CS+3X4VgM8blaFFZe3WjctLK1aswMzMjMePH+Pn58fRo0c5derUO4/19/dn165d3L17l6dPn3Lz5k1OnDiRl79KgWVlZMWXNb8E4NfLv5KgSqBbXSfK2pnyIiaRP8/5Q0V3KNsUVAlwfL6eIy66xPwiCOnlauFtwIABjBs3jsePHxMQEMC4ceMYMGCAtmMTcsnB0oTk8PpAxttNX7G3MM7+ZHU+B6syEP0MLq7TVoiCFpw+fZrTp0/rOwyhANJoNHx37juCY4IpbVGayQ0n6zskIR8xMzDjg/IfAPDv/X+zP6B6N7B1hrgwqaZUCntLY3o3KANI3QxF1lv+IuaQQioiEA5Ki2u0mQp2zqlvzT0/l+CYYMpYlOHb+t+ikCtwc3SjY4WOuDm6aXV7KcCs3bd4GhFPWTtTJnfMeHtrQbF//34GDBiAQqHA2tqaHj16sHfv3nce27VrV6ysrLhw4QL//iv9fa1Ro0ae/R4FXZ+qfbA3tScoJohtd7ahVMgZ2VbKelt50pfoRBW4z5QGX9kEz+/pL9giTMwvgpBerhbenjx5ktpcAeCzzz7jyRORzptfNChvi42mERqNHIWpP3LDkHRjSlgZ06C8bfYnUxpCi3HS89M/Q2KslqMVBCGv7Xiwg4P+B1HKlPzQ4gfMDMz0HZKQz3SvJG03Peh/kIiEiKwHK5Sv54kzS9PME0NaOmOokHPh0UvO+YqsN0HQKY0G/hsl1bhyqg+NXncVPOB3gL0P9yKXyZnbfC6mBqY6DcXzZjD/+DxBLoNFPWtjaqjU6fV0LSgoiFKlSqX+7OTkxNOnT3M19ty5cwwePJhhw4bRs2dPSpTIuNlEQkICkZGRaR5FnbHSmOF1pKL9q66vIioxii61S1KhmBnhsUmsP/sISjeAKp1Ao4aj3+k3YEEQhBS5bq6wcePG1J83btxIr169tBaU8H4UchmzOjVGFV0FAKVV+q1CMzq7oJDLcnbCOn3AuqzUovuNbAZBvzw9PfH09NR3GEIB8zDiIfO9pe0XI+qOoEYxcaddSK9msZpUsqlEgiqBvQ8zzupIe0APaZ6IDYVLr7OjHa2M6dVAqh245Mh9XYUr5IKYQwqha3/B/YOgMISuv0lbwYFnMc+Y7TUbgEE1B1G7eG2dhhEancDkf68DMLiFM/XK5uBGbz5nYmKSphZbfHw8pqYZL15mN/bDDz/k8uXLPHnyhH379rF169YMzzNv3jysrKxSH6VLizqsAF2cu1DeqjwRCRGsu7FOynpzl7LeVp18SGR8ErSdBsjg9h54Isoh5TUxvwhCerlaeDt27BhDhw7FyckJJycnhg4dyrFjx6hRo4ZIl84nOtQowRe1ewBgYOON0tIHhakvoAZ4tzuPCgNoOV56fnpxmho+gv6MGTOGMWPG6DsMoQBJVCUy4eQE4pLjaOjYkAE1RIkAIWMymSw16y1HTRYUBtA8pSbomSVpaoIObSVlvZ33C8Proch6yy/EHFLIRD2D/Smf1VpOAPuqAKg1aqadmUZkYiTV7arzVe2vdBqGRqNhyo7rvIhJpKqjBaPbVdLp9fJKxYoVuXbtdd3ka9euUbFixXcem5iYmPq6ubk5devWJSAgIMPzTJo0iYiIiNRHTrupFnZKuZKRriMB2Hh7I89jn/NhrZJUtDcnIi6JdacfgX01qN1bOuDwDCkbVMgzYn4RhPRylfe9fft2bcch6EDNUhbIHsqQK+IwcfoLABOZLWGPOzJtlymeo1pgbJDDeh61esHJn+Cln9S5rtloHUYu5MSiRYv0HYJQwCzxWcKdsDtYG1kzt/lc5LJcN7YWioAPK3zIoouLuPfyHjdCb1CzeM2sD6jdG07+CBGPpeLuDaUv+CWsTOjpVoqNXgEsOXyfRoPt8iB6ITtiDilENBrYO0bqLuxYC5qOTH1ry50tnAs6h7HCmHnN52Eg121X0R2XA/G8+QwDhYyFPWtjpNRu3Th9GThwIH379sXZ2ZmQkBD+++8/Fi5cCMDz588JDw+nUqVK2Y4dNGgQjRs3pnr16ly9epUdO3Zk2lzByMgIIyOjvPkFC5g2pdtQu3htrj6/yoqrK5jWeBqj3CsxYvNlfj/9kP5NymHVehLc+BsenYKHx8C5jb7DLjLE/CII6eXqW9erzLbMHoL+HfY/zPiT49GQ9g5PnOYlJk4bCUz0Ztlx35yfUKGU7qCCVMMnIUqL0Qq54eHhgYeHh77DEAqI04Gn+fPWnwDMbjobe1P7vLmwWgV+p+D639I/1aq8ua7w3qyMrGhXrh0gZb1lS2n4+qbM6Z8h6fVWq6GtKmKgkHHu4Qu8/cJ0Ea7wjsQcUojc2gl3/gO5Ej5aJmWgAr7hvvx86WcAxtQfQ3mr8joN42l4HDN23wRgZNtKVC9ppdPr5SUPDw/mz5/P0qVL2bVrF7t27cLR0RGQdgL98ssvORr7888/c/fuXaZOncq5c+fYt28fderU0cevVKDJZDJGuY4CpPnpUcQjOtYoQRUHC6Lik1lz+iFYlwE3qQsqh2eCWq23eIsaMb8IQnoyjWgzlkZkZCRWVlZERERgaWmp73ByRaVW4fGPB89in2U6Rp1kRZLfJPaPaolzcfMcnjgZfmsAYb7QZtrrYtqCIORroXGhdN/dnbD4MHpV6cWURlPy5sK3dsOBCRD5RgFqy5LQYQG4dMnxaQry3+WCHDvAheALfOH5BaZKU471PJZ9QfbkBFhSB6KeQqeFr7/0AJP+vc4W7wCaVrRj05eNdBu4IBQVMS+kz2axodIN0tZSl+okVRKf7fuM22G3aVqyKcvdlyOT5bC2by5oNBr6rvXm1P1Q6pS25u8hjVEq8l9WdUH+m1yQY9eV4UeGc/LJSdqXbc/CVgvZfz2IoZt8MDdScnpCa6w1kbCkNiRGwyfroEY3fYcsCEIh8i5/l/PfjCi8N58QnywX3QDkBhGojHyZtvNG9rV7XlEoodVE6fnZXyBedFfSp2bNmtGsWTN9hyHkc2qNmqlnphIWH0ZF64qMrT82by58azf81TftohtAZJD0+q3deROH8F7qO9SnrGVZYpNj2e+3P/sDlEavs95O/QzJr+sZDWvljFIu48yDF1x8JLLe9E3MIYXE/vHSopu9CzR/fUN0+dXl3A67jZWRFd81/U6ni24AG738OXU/FGMDOQt71s6Xi25C4TPSdSQyZBz0P8iN0Bt4VHekWglLohOSWX3qIZgVgyZfS4OPfg+qJP0GXESI+UUQ0hOzYiH0PPZ5jsYZGkZz1vcFu65k3A49QzW6Q7HKUh2R8ytyF6CgFRUrVsy0sK8gvLLp9ibOBJ7BSGHEDy1+wFhprPuLqlVSphsZLeqnvHZgoth2WgDIZDK6VZIyBHK03RTAtS+YO0LkE7i6OfXl0ramfFKvFCA6nOYHYg4pBO7slWpYyeTQ9VdpuzdwJeQKa25IXeinN5qu89ICfqExzNl3G4CJHarmfCeFILynyjaV6ezcGYDFlxYjk8HolA6n6848IiwmERoPB1M7acfO5Y36DLfIEPOLIKQnFt4KoeKmxXM07uPaLgB8v/cWEbE5vAMkV7yu9XbuV4gLz0WEgjb88ccf/PHHH/oOQ8jHbr+4nVrfZ1z9cVSyyaPucv5n02e6paGByEBpnJDvdXHuglKm5Hrode6G3c3+AAPj18XdTy1Mk2EwvHVFlHIZp+6H4hPwUkcRCzkh5pACLu4l/JfSNbDJN+BUD4CYpBgmnZqEWqOmi3MX2pdrr9MwVGoNY/+6QnySmibOdvRtXE6n1xOEtw2vMxwDuQHng89z7uk52rk4UMPJkthEFStP+oKRBbT4Vhp8YgEkxuo34CJAzC+CkF6uFt7q16/P+vXrSUhI0HY8gha42rviYOqAjMy3FTiaOjKtbScq2psTGp3IAs87Ob9A9Y+heDWIjwCv5VqIWBAEbYtNimX8yfEkqZNoXbo1n1b5NO8uHp31Vvd3HifoVTGTYrQu0xqAf+//m7OD6vUHs+IQHgDXtqW+XNrWlG6uTgAsOSyy3gQh1zynQHQw2FV6XQYE+PHCjzyJfkIJsxJMbDAxixNox8qTvvgEhGNhpOTHHrWRy3W7pVUQ3lbSvCS9qvYCYLHPYjRoGO1eGYA/z/oTGp0A9b8AqzIQFQTeK/UZriAIRVSuFt4WL17M4cOHqVy5MtOmTePp03fYqijonEKuSP2wldni29j6YzExNGDOR1IX2s3nA7jkn8PsA7kCWqVkvXktk+66Cnnut99+47ffftN3GEI+9cOFH3gU+Qh7E3tmNZml8/o+aZg7aHecoHfdK3UHYM/DPcQnx2czGjA0lbJwAE7+JDXnSTG8dUUUchkn7j3nyuNwHUQr5ISYQwqw+4fhyiZAJm0xNTAB4FjAMf65/w8yZMxpNgcLQwudhnE7KJKfD90DYHpnF5ysTXR6PUHIzKCagzA3MOd22G0O+B2gTVV7apeyIi5JxcoTvlL90ZTGI5z+WXx30TExvwhCerlaeGvWrBkbNmzg8uXL2NjY0LZtW3r37o2Xl1eOjk9OTubmzZuEhobmeuz169e5ePFimkdkpFTsPyAgIM3rDx8+fPdfsoBzL+vOolaL0tX1kKf8X/4k+gkADSvYpdbcmbLjOsmqHLbartYV7KtDQiScE39Y9WHZsmUsW7ZM32EI+dDBRwdTv3zNbT4XG2ObvA0gOjibATKwdIKyTfIkHOH9NS7ZmJJmJYlKjGLl1ZXse7iPC8EXUGVVp6/+F1JdnZd+Uh2qFGXtzPiozqust3u6Dl3IhJhDCqj4SNiTspW74RAoI3UIDo0LZea5mQD0r94fN0c3nYaRmKxmzF9XSVJpcK/mkPpZUhD0wcbYhgE1BgDwy+VfSFYnM7pdStbbOX9CIuOhVs/XO3bOLNFnuIWemF8EIb33qvHm5+fHnTt3iIuLo2TJkowbN45hw4ZleYyvry8VK1bkww8/pFy5cixevDhXY6dMmcKQIUMYMmQIgwYNws3NjYCAAADmzp1L9+7dU99fubJophS7l3XHs7snaz3WsqD5AtZ6rOW7pt8BsOraKoJjpC/Hkz6oirWpAXeCo/jj7KOcnVwuf721wWsFxIoOdXlt165d7Nq1S99hCPlMUHRQ6pevL2p8QcMSDfM2gMfesHP4Gy+8nWmX8nOH+VL2rFAgyGVyahavCcDvN35nwqkJfOH5BR7/eHDY/3DGBxmZQ+MR0vOTP6ZppjGiTUXkMjh29znXnoTrOHohI2IOKaAOz5Aal9iUg7bTANBoNMw6O4uw+DAq2VRiRN0ROg9jyZF73A6KxNbMkHndauZtVrUgZODzap9TzKQYT6KfsP3edlpWLo5rGWsSktUsP+ErfeZoO10a7LVC6rIu6ISYXwQhvVwtvK1cuZJ69eoxZMgQmjRpwp07d1i4cCF79+7l999/z/LY6dOn061bN/z8/PDx8WHGjBk8f55xF86sxu7evTs1o23mzJnUr1+fGjVqpB47adKk1PcXLFiQm1+zUFDIFbg5utGxQkfcHN3o4twFV3tX4pLj+OniTwDYmRsx6YOqACw6dI+n4XE5O3nVD8GxJiRGwdlfdPUrCJkQHYOEt6nUKiaemkhUYhQ1i9VkeN3h2R+kTS8fwZbeoEqAKh2hx3qwLJF2jGVJ6PknuHTReTjx8fGsXLmSqVOncvLkyfcee+jQIcaNG0diYqIuws3XDvsfxvORZ7rXQ2JDGHN8TOaLbw0GgYkNvHgAN3ekvly+2Oust6Wiw6leiDmkAHp4Ai6ulZ53+QUMzQCp4/DxJ8cxkBswv/l8DBWGOg3DJ+Aly4/7AjD34xoUtzDS6fUEISdMDUwZUmsIACuvrSQ2OTY1623T+QCCI+KhygdQuiEkx0mNFgSdEPOLIKSXq4W3M2fOsGzZMi5cuED//v0xNjYGwMrKin//zbrw8v79+/nyyy8BqFy5Mg0bNuTIkSPvNfb3339n4MCBaV4LDw/n1q1bxMaKzjVvkslkTGo4CblMjucjT7yDvAHoUa80buVsiE1UMXP3zZydTC6HVpOk5+dXQswLHUUtZCQsLIywMJFpKLy26voqfEJ8MFWasqD5AgzkBnl38bhw2NQTYkPBsRZ0Ww3VP4JRN6Dff9B9jfTPUdfzZNEN4OOPP2bjxo2o1Wq6d+/Ozp07cz322bNnTJ06lYULFxa5hTeVWsV87/kZvqdBA8AC7wUZbzs1soBGKQvAJ34A9etyBsNTst4O3w7hRmCE1uMWsibmkAImMQZ2fy09r/8FlG8BQEBkAD9c+AGAka4jqWxTWadhxCYmM/avq6g18HFdJzrUKJH9QYKQR7pV7kYZizKExYfx580/aVaxGG7lbEhMVrP8+AOQycB9pjTY50944avXeAsrMb8IQnq5Wnj7888/adgw4+1LH374YabHJSQk8PLlS0qVel0HwsnJKcPmDDkd+/TpU06cOEHv3r1TXytbtix///033bt3x9HRkeXLM++8mZCQQGRkZJpHYVfVtio9KvcAYJ73PJLUScjlMr7/qCZKuYyDt55x6FYOuw1W6QglakNSDJwV9RLyUvPmzWnevLm+wxDyicshl1lxdQUAUxtNpbRl6by7uCoJtveD0LtgURL6bJO2GQIq5JxTu7BL1ZhzahdU71fhIMeuXbuGt7c3hw4dYu7cuSxbtoz58zNePMrJ2GHDhhXZ7GmfEB+exWY+J2jQEBwbjE+IT8YDGg4GIyvp34/br7eeOBc3p3PtkgAsEVlveU7MIQXMkdkQ7g+WpcB9FgDJ6mQmn55MXHIcbo5u/M/lfzoPY8H+O/iFxuBoaczMLtV1fj1BeBcGcgO+dpUWqP+4+Qdh8WGpWW9bvB9Lu3rKNoFK7UGjgqPf6zPcQkvML4KQXq6+AdWpUyfdo2XLlkyYMIGIiMzvWhsYGKBUKomPf90RLT4+HlNT01yPXbduHR999BFWVlapr73aZnr79m2OHTvG2LFjefYs4y8N8+bNw8rKKvVRunQeflnVo6/rfo21kTUPwh+w9c5WAKo4WvBl8woAzNx9k9jE5KxOIZHJoFVKlyDv1RCd8bZhQft69+6dZsFZKLoiEyOZeHIiao2aThU60dm5c95dXKOBvWPh4XEwMIM+W6XtpMCBG0E0W3CU3qu9GLn1Cr1Xe9FswVEO3NB9XZXLly/TuHHj1Izs1q1bc/nyZTQazTuP3bBhAxUrVqRRo0bZXrcw3sx5Hpuzv+uZjjO2gkZDpecnfkyT9fZ1m4rIZHDo1jNuPhVZb3lJzCEFSIAXnJdurNBlCRhbArDm+hquPr+KuYE53zf9HrlMtzc2zjwIZf05fwB++KQWViZ5mFUtCDnUvmx7qttVJzY5ltXXV9PEuRiNKtiSqFLz27EH0qBXtd5u/gtPr+gt1sJKzC+CkF6uZuhu3bpRqlQpli5dytKlSylZsiSNGzfG39+fIUOGZH4xuZzy5ctz7dq11NeuXbuW4R7wnIzVaDSsXbs23TbTN9WrVw9bW9sMs+pAWqSLiIhIfTx+/DjL372wsDKyYqSr1BVr2ZVlhMZJXWO/aVsRJ2sTAsPjcp6BUNkDSrpCUiycWayjiIW3TZ06lalTp+o7DEHPNBoNs8/N5mnMU0qZl2Jqwzz+d+LsL+CzHmRy+GSNlAGLtOg2dKMPQRHxaYYHR8QzdKOPzhffwsLC0tyQsbKyIjExkZiYmHca+/TpU1asWMGsWbNydN3CeDOnuGnx9x/XaAgYWkDITbi7N/XlivYWfFhLWqgVtd7ylphDCoikONg1HNBAnc+hojsAN0NvpmY5T244mZLmJXUaRmR8Et9uvwrA543K0KJyzv4uCEJek8vkjKo3CoBtd7fxOOoxo92lrLe/Lj7mcVisVKO6prT7hyPf6SnSwkvML4KQXq4W3v744w/Wr19PixYtaNGiBX/++Sfbt29nyZIleHqmL778poEDBzJu3Dg8PT2ZMmUK8fHxtGnTBgB/f38CAwNzNBbg6NGjyOVyWrRokeYaV65c4eLFi5w4cYIhQ4ZgZGSEi4tLhvEYGRlhaWmZ5lFUfFzxY1zsXIhOimbxpcUAmBoq+a6rtHVgzSk/7gTnIFtDJoPWKVlvF9ZAVA63qQqC8N52PtjJgUcHUMgULGixAHND87y7+O09cCjlrrHHXKloMaBSa5i15xbpc8tIfW3Wnluo1BmN0I5ixYqlqS8SFhaGsbEx5ubp//fJaux3332HhYUFU6dOZdIkqabllClTitTNHFd7VxxMHZCl61ArkSHD0dQRV3vXzE9iYgMNv5Ken1ggZUqm+CYl683z5jNuBxX8DEFB0Krj86TmJOaO4CFti4tLjmPS6Ukka5JpX7Y9H1bIvMyLtszafYunEfGUtTNlcsdqOr+eILyPRiUa0aRkE5LVyfx25TcaVrCjaUU7klSa11lvrSeDXAm+R8Av6wZMgiAUPiq1hnO+L9h1JZBzvi90+r0EcrnwFh0dnWbr5rNnz4iKisLBwYGXL19meey4cePo1q0bs2fP5v79++zbtw+5XApjw4YN7NixI0djAc6dO8fYsWPTtTAfPXo0Q4YMYfr06RgYGHDs2DGMjETHpbcp5AomN5QWzHb57uLqc+lOZttqDnhUdyBZrWHqjhuoc/IvYUV3KOUmdQkSWW95YvTo0YwePVrfYQh69CjiEfO85wEwvM5wahWvlXcXf3oZ/hkEaMDtS2j4OtvZ2y8sXabbmzRAUEQ83n66K7zboEEDzp49m7rVc9++fZnWJs1q7Icffoi7uzuOjo44ODgA4ODggIFBxlusCuPNHIVcwcQGEwEyXHzToGFCgwko5IqsT9R4uLQdOfg63DuQ+nIlBws61pQKtP9yVGS95RUxhxQAgZded43/8GdpARv4+dLP+EX4UdykONMaTUv3OVjbPG8G84/PE+QyWNijNqaGSp1eTxC0YZTrKAD2PtzLnbA7qVlvf196QsCLWLCtAPUGSIMPz0xzQ0h4P2J+EfK7AzeCaLrgMJ9v2sTYfX/w+aZNNF1wWKc7cmSajAreZGPu3LmsXLmSzz//HJAWzIYNG8bEiROpWrUqd+7c0XqgeSUyMhIrKysiIiIKxRemnJh2Zho7H+zExc6FzR03o5ArCIqIw33hCWISVczvVpNeDcpkf6IHR2BjN1AYwcirYCk6XelS9epSZuLNmznsQisUeCq1Cp8QH57HPsfGyIZFlxZx5+Ud3BzdWN1udfYLH9oS8QRWt4XoYGnRvfc2ULz+IrbrSiAjt17J9jRLetWhax2nbMfl9u9yr169uHHjBg0aNODff/9l+/bttGvXDrVazfjx45kyZQo2NjZZjn1TfHw8JiYmREVFZZg5p83Y86PD/oeZ7z0/XaMFI4UR+7rtw97UPvuTHJoh3ZwpWRcGHZMypoE7wZF0WHwKAM9RLajiaKHt8IW3iDkkn0tOgJUt4fltaUtc998BOBN4hiGHpRsdK9xX0NSpqU7DCI1OwOPnk7yISWRIS2cmflBVp9fTtYL8N7kgx64v40+MZ/+j/TR1asoK9xX0XevNyXvP6VGvFD/2qC3t0llaRyqX8+lGqJaHNXILMTG/CPnZgRtBjNj1J0YOe5AbvK4vrE6yIuFZZ37t2jfHHbvf5e9yrjLeJk+ezMaNGzE0NMTIyIjNmzczcaJ0N7wgL7oVVSNdR2JuYM6tF7f498G/AJSwMkntAjRv/x1eRCdkfyLnNlC6EagS4PTPugxZQJrMxIRWdBz2P4zHPx584fkFE05NYPDhwdx5eQdTpSnzms3Lu0W3hCjY/Km06GbvAp+sS7PoBmBulLNsCHsLY11EmGrTpk3Mnj0bV1dXzpw5k7qQJpPJcHR0RKFQZDv2TQYGBvz4449FNoPavaw7nt09WeuxlgXNF/B7+9+paVeTBFUCP1z4IWcnaTwCDEyljMkHh1NfrupoyQc1HAFYKrLe8oSYQ/K5kz9Ji26mxaCD1FE5PD6caWemAdC7am+dL7ppNBqm7LjOi5hEqjpaMLpdJZ1eTxC07eu6X6OUKTkTeAbvIG9Gu0v/Dv97ORC/0BiwcIBGw6TBR2aDKgeN5YRsiflFyK9Uag3TDm3B2GkjMmXapl4yZQTGThuZdmiLTrad5mrhbdKkSTRv3pwZM2Ywffp0mjVrpu24hDxUzKQYw+sMB2Cpz1IiEqR/Cfs3KUe1EpZExCUxd18OFlRlMmgt1UDi0jqICMx6vCAIOXLY/zBjjo9Jl2kEEJscy/XQ63kTiCoZ/v4Cnt0AM3vosy21u94rEbFJLDl8L8vTyIASVsY0KG+rw2BBoVDw8ccfM2LEiNS7ryAtvI0bNy7NnanMxr59vnHjxmW6zbQoUMgVuDm60bFCRxqWaMj0JtORy+R4PvLkdODp7E9gXhzqfyE9Pz4/ba23ttIXon3Xg7j/LEoX4QtCwRB0DU4vkp53+gnM7KRGOl6zeR73nPJW5RldT/fbuHZcDsTz5jMMFDIW9qyNkTKPbvAIgpaUtizNJ5U/AaQt2nVKW9O6SnFUag2/vGro0/QbaRt36F24ukWP0QqCoGteD58TayElGr1dpeHVz7EW/+L18LnWr52rhbcNGzZk2BlOKLh6Ve1FReuKhCeE88tlqZ6IUiFn7sc1kMngH58nnPN9kf2JyreEsk1Blfj6Q6OgE97e3nh7e+s7DEHHVGoV873no8mwVYFUc2uB9wJUapXug/GcDPcPgtIEem8F67Rb0F/GJPLZGi+uBUZiZqhIie/teCUzOrugkOu2LpGge1Vtq/JZtc8A+N7re+KTM6/tl6rJN6A0hsCL8PBY6svVSljiUd0BjQZ+OfpAVyELKcQckk+pkqQupupkaduby0cA/PfwPw76H0QpUzKv2TxMlCY6DeNpeBwzdksZKyPbVqJ6SatsjhCE/Omr2l9hojThxosbHPI/lLqjZ+eVQHyfR4OxFTQbIw0+Pg+ScjCPCVkS84uQX3kHX0RuEJFu0e0VmQzkBhF4B1/U+rVztfA2cuRIZs6cycuXL0lOTk59CAWXUq5MbbSw/d527oRJGW51y9jQJ6W+29Sd10lMVmd9ojc7nF5aD+EFv6NffjVgwAAGDBig7zAEHfMJ8ckw0+0VDRqCY4PxCfHRbSDnV4L3Sul5t5VQql6at8NiEunz+3luBEZiZ2bIP8OasOJzVxyt0m4ndbQyZvnnrjmunSDkf8PrDMfB1IHA6EBWXVuV/QEWDq8LWh9fkGHW255rT3kQEq2LcIUUYg7Jp84sgeBrUgZOx4UgkxEUHcTc83MBGFJ7CNWLZZyVqy0ajYYJ/1wjKj6ZOqWtGdLSWafXEwRdKmZSjH7V+wHwy+VfcClpjns1B9QaWPoq663BILB0gshAuPC7HqMtHMT8IuRXcmXOPlvmdNw7XTs3B02aNImff/6Z4sWLY2xsnPoQCjY3Rzc6lOuAWqNm7vm5vOq7Md6jKsXMDfF9HsPqUw+zP1G5ZlCuOaiT4NRCHUdddE2ZMoUpU6boOwxBx57H5izVOafjcuXeQTgg1fHEfSa4dE3zdmh0An1We3E7KJJi5kZsGdyIqo6WdKhRgtMT2rBlUCOW9KrDlkGNOD2hjVh0K2TMDMyY1EAqM7Du5joehudgnmg6UmrE89gLHp1Kfbl6SSvauUhZb7+KWm86JeaQfCjkNpyQ6rnRYQFYOKDWqJlyZgrRSdHULl6bgTUH6jyMjV7+nLofirGBnIU9a6NU5OrrgiDkG/1c+mFrbMujyEfseLCDUSm13nZffSqVNjAwgVYpn3NOLYT4iCzOJmRHzC9CfhUVk7Ns8YZlymn92rmaSd/MchMZb4XL2PpjMVGacDnkMv89/A8AK1MDpn3oAkh3hvxf5GCb8aust8sb4KW/rsIt0vr06UOfPn30HYagY8VNi2t13DsLvg5/DwCNGur+D5qOSvN2SFQ8vVd5cSc4CnsLI7YObkRlh9cdKRVyGY2d7ehax4nGznZie2kh1aZMG1qWakmyOpnZXrPJtmG6ZQlw7Ss9P5G2McM3bV5/IXr4XGS96YqYQ/IZtUraYqpKhEoeUKsnABtubeBC8AVMlCbMbTYXpTxnzWtyyy80JrWu78QOVXEunrMOzoKQn5kbmjO41mAAll9ZjrODYWppg8Wvst5q9wG7ShAXBmeWgt8puP639M+8KOdRiIj5RciPNnr584fXVbL6iKrRgLVBcdwc62U+KJdyfQsrOjqaK1euaDEUIT9wNHNMnZgWXVpEdKL0padL7ZI0rWhHQrKa6btuZv+lqmwTqNBKqlFy6icdRy0IhZervStmBmaZvi9DhqOpI672rtq/eFSw1ME0MRrKt4BOi9JUIn0WGU+vVV7cD4nG0dKYrYMbUdFefEkrimQyGZMaTsJYYczFZxfZ7bs7+4OajQK5gZTx9uhM6ss1S1nRtqo9ag38Kmq9CUWF1zIIvARGlvDhzyCTce/lPZb4LAFgvNt4yliWyeYk70el1jD2ryvEJalo4mxH38bldHo9QchLPSr3wMnciedxz9l0exOj3KVab3uvBXEnOFLq0N5W6hrMqYWw/kP4Z6D0z8U14FYO5jVBEPKlTef9mXl0A8ZOf73+KvP2coZG+pozo+lkFHLtNxPK1cLbf//9R9WqValbt27qa2KraeHR16UvZSzKEBoXysprUk0nmUzG7K41MFTIOXHvOfuuB2d/olavst42QZifDiMumrp06UKXLl30HYagY5tubyImKeMsU1lKq4IJDSZof4JIjJEW3SIDoVhl6PknKA1T3w6KiKPXKi8ePo+hpJUx275qRAWRGVGkOZk7MbTOUAAWXlxIeHx41gdYlYK6n0vPT6bNehuZsg1o55VA/EJFMyddEHNIPvLCF45+Lz33mANWTiSqEpl4aiJJ6iRalWpF90rddR7GypO++ASEY2Gk5McetZGLDGWhEDFUGDKi7ggA1lxfQwkbNZ1qSqUvlhx+u7TBW9/II4Pgr75i8S2HxPwi5Cebzvsz4+h6jEv+hUym4SPnj1jYciEOZg5pxjmYOfJzq59xL+uukzhytfD27bffsmfPnjSvJSQkaCUgQf8MFYZMaDABgI23NqbW66lQ3JyhraQCu7P23CQqPinrE5VpCM5tQaOCkyLrTRDe1W7f3fx48UcAPij/AQ6mb00Qpg4sarVI+xOEWg3/DoagK2BqB322SYW+UwSGx/HpSi/8QmNwsjZh21eNKWuXeVaeUHT8z+V/VLSuyMuElyz2WZz9Ac1Gg1wJD49DwPnUl2uVsqZ1leKoNfDbMZH1JhRiajXsGgHJ8dJOgbr/A+DXy79y/+V9bI1tmdFkBrLMWrC9B5VawznfF+y6Esi2CwEsOngXgOmdXXCy1m3XVEHQh47lO1LFpgrRSdH8fv13RrpXQiaD/TeCufkk7HU923RSFuIOTBTbTgWhANl8PoCZR9dhXOJvZDINn1T6hFlNZ9G+XHs8u3uy1mMtC5ovYK3HWjy7H9DZohuATJPtnsH0zMzMCA8Px9DQEI1GQ3R0NI6OjkRHF/xaLJGRkVhZWREREYGlpaW+w9Grr498zfEnx2lUohGr2q1CJpMRn6Siw+KTPHoRS/8m5ZjZJZvOWk8uwu9tQaaAERfATnTGEoScOP74OKOOjUKlUfF5tc8Z7zYetUaNT4gPz2OfU9y0OK72rjpJhebgNDi7FBSG0G8PlGmU+tbjsFh6r/biycs4StuasGVQI0rZmGo/hjcU5L/LBTn23PJ55kO/A1IHufUd1uPqkM026F0jpHqgFd3h839SX74c8JKPl51FIZdxdGxLsbgrFE7nV8H+b8HADIadA5uyXAi+wEDPgWjQsLT1UlqXaa31yx64EcSsPbcIiohP83otJyt2jWiqk4W+/KAg/00uyLHnJ6cDTzP08FAM5Abs/Xgv8/YEs/vqU4aXD+LboLHZn6Dff1C+ue4DFQThvWw+H8CMY79jXGIHAJ9W+ZTJDScjl2mvYdC7/F3O1VWrV6/O9evXU3/esGEDrq46qC8k6NV4t/EYyg3xCvLiSMARAIwNFHz/UU0A/jz3iOtPsun6U6o+VGqfkvX2o65DFoRC4dKzS4w7MQ6VRkXnCp351u1bZDIZCrkCN0c3OlboiJujm24W3S79IS26AXRdlmbRLeBFLL1WSYtu5exM2Ta4sc4X3YSCx9XBlW6VugEw22s2SepssqObj5Fuzjw4DE8upb5ct4wNLSoXR6XWiKw3oXB6+QgOz5Set5sFNmWJSoxiyukpaNDQvVJ3nS26Dd3ok27RDeBaYASeN3NQTkQQCqimJZvi5uhGkjqJ3678xjdtKyGXwWP/HJbFiX6m2wAFQXhvm88HMOP4qtRFt8+qfcaUhlO0uuj2rnJ15cWLF9O/f38AmjVrxowZM1i0aJE24xLygdKWpelfoz8AP1z4gbjkOACaVSpG1zolUWtgys7rqNTZJE22miT989o2CH27hoKQW5s3b2bz5s36DkPQsrthdxlxZAQJqgRalGrBrKaz8m6S8D0G/42RnreaDLV6pL7lFxrDp6vOERgeR4ViZmwd3JiSYiuSkInRrqOxMbLhQfgDNtzakPVg2wpQ61Pp+Vs3aEa2lWq9/esTyOOwWF2EWmSJOUTPNBrY/Q0kxUDZplB/IADzvecTFBNEKfNSfOv2rdYvq1JrmLXnVrqa0q/IgFl7bmX/2U4QCiiZTMZo19EA7Hm4B41BEF3rOBGCdc5OYO6Q/ZgiTswvgj5Ji27LMXbcBUA/l35McJug90zuXH2ba9KkCSdOnGDv3r1MmjSJu3fvUr9+fW3HJuQDX9b8khJmJQiKCWLtjbWpr0/pVA0LYyXXnkSw0cs/65M4uULlD0CjhhM/ZD1WyLE5c+YwZ84cfYchaNHjyMd8degropOicbV35aeWP2EgN8ibi4fcgb/6SdmptT6FluNT3/J9Hk2vVecIioinor05Wwc3wtFKNNQRMmdtbM3Y+tKWneVXlhMYHZj1Ac3HgkwO9/ZD0NXUl+uVtaF5pWIki6w3rRNziJ75rAe/E6A0gS6/gFzOwUcH2e27G7lMzrzm87LsaJ1b3n5hGWa6vaIBgiLi8fYL0/q1BSG/qFm8Ju3KtkOtUbPUZynftK3EJarxVGOLhiy+nFs6QdkmeRdoASXmF0FftngHMOPErxg7/gfAwBoDGVt/rN4X3SCXC28ANjY2tG7dmpYtW2JgYFAo6rsJ6ZkoTVLvuK69vpbHUY8BsLcwZnyHqgD86HmXZ5GZf4gDoHVK1tv17fD8rs7iLUrWrVvHunXr9B2GoCXPY58z6NAgXsS/oLJNZX5p+wsmyjzKKIt+Dpt7QEIElGksfQlMmaDuP4ui1yovnkUmUNnBnC2DGmFvKRbdhOx1ce5CfYf6xKvimXt+LlmWlC1WEWp8Ij1/6wbNq6y3vy89EVlvWiTmED2KeAKeU6XnbaaCnTMhsSF85/UdIH1RqGNfRyeXDonK5vPaO44rSp49e8batWvZunUrsbFZ/y3KauydO3dYs2YNnp6eqNVqXYYsZOHrul+jkCk4/uQ4L1V36Vq3NLOS+iItP2fyJb3VRNBFmY9CRswvgj5Ii25LMXbYD8BXtb5ipOvIfLHoBrlceNu+fTslS5bE3t6eUqVKpT6Ewsm9jDsNSzQkUZ3IjxdebwPq06AMtUtbE52QzOz/bmV9khK1oeqHgAZOLNBtwEVEgwYNaNCggb7DELQgIiGCrw5/RWB0IKXMS7Gy3UosDfOocHJSHGztDeEBYFMePt0ESiMA7gZH0Xu1F8+jEqjqaMGWQY0obmGUN3EJBZ5MJmNao2ko5UpOPjnJ0YCjWR/QYhwggzv/QfCN1Jfrl7OlaUU7ktUalp/w1W3QRYiYQ/REo4H/RkNiFJRyg0ZD0Wg0TD8znYiECKrZVmNo7aE6u7y9Rc5unOR0XFHh7+9PjRo12Lt3L8uWLaNp06YkJye/89jvv/+eTz75hLNnzzJu3Djc3d0zPY+gW+WtyvNxpY8B+PnSz4xo7cxhGjIkcRSJb3WRR66U/unzJySJRensiPlFyGtbvQOYcfJnjOw9ARheZzgj6o7IN4tukMuFt2+++YY//viDqKgowsPDUx9C4SSTyZjUYBJKmZJjj49x6skpABRyGXM+qoFcBv9dC+LEvedZn6hVSovuG//Cs2wW6gShiIhLjuPro19z/+V9ipkUY1X7VRQzKZY3F1erYecweHIBjK3hs+1gZgfA7aBIeq/2IjQ6EZcSlmwZ1Ag7c7HoJrybCtYVGFB9AADzvOcRkxST+eDiVaC69CXo7Vpv37SRst62X3xMYHicTmIVhDxxdSvcPyh1je76G8gVbL27lTNPz2CkMGJ+8/kYKHRXYqBeWRuMDTL/+C8DSlgZ06C8rc5iKIiWLl3Kxx9/zD///MPx48cxNDTk33//feexLVq04Nq1a6xZswZvb2+uXbvGtWvX8vJXEd4wtPZQjBXGXHl+Bb/YC3ziWgpPdQO+sF7LzXabuVj/R26224zqq7NgbCV9XvpvlLSALghCvrDlvD/TTy3EqPhhAEbWHcmQ2kP0HFV6uVp4k8lkNG3aVNuxCPmYs7Uzn1X7DIAFFxaQqEoEoIaTFf2blAdg+q4bxCepMj+JY02o1gUp622+rkMu9KpXr0716tX1HYbwHpLUSYw9PpbLIZexMLBghfsKSluUzrsAjs+Fm/9Kd3I/3QjFpMWNG4ER9F7tRVhMIjWdrNg8qCE2ZoZ5F5dQqAyuNZhS5qV4FvuM3678lvXgFinF5G/tgpDbqS83rGBHowq2JKk0LD8uar1pg5hD9CAqGA5MkJ63mgjFq/Aw4iGLLkoNykbXG00F6wo6u7xGo0n5rJbx9sZXeQEzOrugkOefLIH8wMvLi06dOgEgl8v54IMPOHfu3DuPbdGiBXK59PVLrVaTmJiIg0PGxfoTEhKIjIxM8xC0y97Uns9dPgdgic8ShrYuj1wGpx+G02kPfHLaiU57oNnaJ1xwWyR14L66Bc7+oufI8zcxvwh5Zau3PzNO/4hRMWlXxdh6Y/my1pd6jipjuVp4GzduHPPnzyc6Oprk5OTUh1C4Dak9hGImxfCP9E/TpW5M+8o4Whrj/yI2++LXrSYBMulL1dOr4HcKrv8t/VOdxaKdkE779u1p3769vsMQckmtUTP9zHROBZ7CSGHEr21/pYptlbwL4MqW11lFnZdA+eYAXHsSTp/VXoTHJlG7tDUbv2yItalYdBNyz1hpzJRGUwDYdHsTt1/cznywg8vrGzQnf0rz1si2lQH468ITgiJE1tv7EnNIHtNoYO9YiI+Qym80+YYkdRKTT00mXhVP4xKN6V21tw4vr2H+/jtsvfAYuQwGNS9Pibea5DhaGbP8c1c61CihszgKqtDQUOzs7FJ/trOz4/nzjHd65GSsWq1m4MCBDBs2DCcnpwzPM2/ePKysrFIfpUvn4Y25ImRAjQFYGlriG+HLhuv/kFFD3+CIeHoeMuF2rZSF80PT4d7BvA20ABHzi5AXpEW3+RgVOwHAeLfx9K/RX79BZSFXC2/jx49n3rx5WFtbY2xsnPoQCjdzQ3PG1BsDwMprKwmOCZZeN1Iys4sLACtO+PIgJItGGw4ur7cSrW0P6z+EfwZK/1xcA27t1unvUJj8/PPP/Pzzz/oOQ8gFjUbDDxd+4L+H/6GQKVjUahGuDq55F8CjM7D7a+l5szFQV7rbezngJZ/9fp7I+GRcy1izYWADrEzyqKuqUKg1c2qGRzkP1Bo1s71mo8rqRsurrLcb/8Dze6kvN3a2o0F5WxJVapYfF7Xe3peYQ/LYzR1S/UK5UtpiqjBg5dWV3HxxE0tDS2Y3nY1cluueZ9ladtyXlScfAjCvW02mdHLh9IQ2bBnUiCW96rBlUCNOT2gjFt0yYWNjQ0REROrPERER2NpmvB03u7EqlYr+/ftja2vLvHnzMr3mpEmTiIiISH08fvxYC7+J8DZLQ0sG1xoMwPaHa0CWlG7Mq7W4L27XQ103pQHDPwNFw7hMiPlF0LVt3gHMODMXQ7vTAExuMJn/ufxPz1FlLVcz/JtZbiLjrWj5sMKH1Cleh7jkuNStEQAe1R1pU9WeJJWGqTuvZ929rlRKsc3kt4qTRgbBX33F4ptQ6K26topNtzcBMLvpbFqUapF3F3/hC9s+A3USuHwEbaYBcMk/jP+t8SYqPhm3cjb8ObAhlsZi0U3QnvFu4zEzMON66HX+uf9P5gNL1IIqnQANnFqY5q1RKR1Ot3o/JjhCFLgWCoiYUNg3TnrefBw41uTq86usvr4agGmNp+FglvF2Q23Y4OXPj57SAsGUjtX41K0MINXqbexsR9c6TjR2thPbS7NQp04djh8/nvrziRMnqFOnzjuPTUpKolevXlhYWPDbb79lWfjbyMgIS0vLNA9BN3pV7YWNkT0aRTgGNhlvIdYAQZEJeFebDGWaQEIkbP4UYsPyNlhBKOK2efsz4+xsDG3PAjC90XR6V9Ndxri25PrWWnR0NFeuXNFiKEJBIJPJmNxwMjJk7H+0nwvBF1Jfn9WlOsYGcrwehrHjcmDGJ1Cr4NzSTM6eslh3YKLYdpoD33//Pd9//72+wxDe0V93/+LXK78CMMFtAp2dO+fdxWPDYFMPiHsJTvXh4xUgl+PtF0bfNd5EJyTTqIItfwxogLmRMu/iEooEe1N7vq4rZVouvrSY0LjQzAe3TMl6u/6XtFicorGzHfXL2pCoUrNCdDh9L2IOyUP7x0PsC7B3geZjiU2KZfKpyag1ajpV6ESHch10duldVwKZvkvqEjyidUUGtdBdDbnCbMSIEaxYsYKxY8fyv//9j7t379KrVy8Arl69ys6dO3M09quvvuL8+fNUqlSJJUuWsHjxYvz8/PTxKwlvMFIY0cpeyv43KnYM5JmXM3gWq4ZPN4BVGXjpB9v7gyp9llxRJuYXQVe2efsz49wsDGy8ABnfNfmOHlV66DusHMnVwtt///1H1apVqVu3buprYqtp0VHNrho9q/QEYO75uSSrpWzH0ramfJOSjTBn723CYxPTH+x/FiKfZnF2DUQGSuOELG3ZsoUtW7boOwzhHRx4dIDvvaQPIoNrDU4t6JsnkhNh2+cQ5it9WOy9BQxMOOf7gn5rvYlJVNG0oh3r+jfATCy6CTrSq0ovXOxciEqK4scLP2Y+sGRdqOQBGjWcep1dLZPJGOkuzTNbvAMIiRRZb7kl5pA8cvs/adu0TC5tMVUa8uPFHwmICsDRzJHJDSfr7NJH7zxj7F9X0Wigb+OyjG1fWWfXKuxq1KjB2bNnMTU1pVq1apw/fx5TU1MAoqKiePbsWY7G1qpVi27duvHo0aPUR1ycqFmZH3iU6YQq3gGZIg5Du+MoTH1RWl5BYeoLvG5IYm9hDGbFUj5HmYHfCfDU3X/HBZGYXwRd2HrhETPOzcDA+gIgY07T7/m40sf6DivHZJos9wRmrFq1amzevBlXV9fULYUymSzr7YUFRGRkJFZWVkRERIiU7iyEx4fz4c4PiUiIYGKDiakdTxOT1XRaeor7IdH0blCaed1qpT3w+t9STYTsdF8DNT/RQeSFR1iYlNqeWY0RIX85G3iW4UeHk6xOpmflnkxtNDXLLSZapdHAzqFSJy4jSxh4EOyrceZBKAPXXyA+SU3zSsVY3bc+xgaKvInpHRTkv8sFOXZdufniJn329kGtUbOq3Soal2yc8cAnF+H3tlIXuW98wKYcINVI7L78LD4B4XzRtDzTO7vkXfCFiJhD8kDcS/itIUQ/g6ajoN0sTjw+wYijIwBY034NDUo00MmlvR5KN1USktV8VKcki3rWQS62khbov8kFOfaCQKXW0GjxUuLtfkejgTc/oqmTrEh41pni8vqcntDm9bbs23ukm5oAHy6G+gPyPO78SMwvgrZtvfCImeemY2B1GRly5jWfS6cKnfQd1jv9Xc5VxltAQAA1atRI/Tk6OhozM7McH3/v3j1WrlzJnj17UKszbmme3dijR4+yePHi1MfevXtzfQ3h3VkbW/NN3W8A+O3yb7yIewGAoVLOnI9rArDF+zGX/N+qe2CewxomOR1XhNna2ooJrYC49vwao46PIlmdjEc5D2m7dl4tugGc+kladJMpoMc6sK/GyXvP+eIPadGtVZXi+XbRTSh8qttVp1cVadvVnPNzSFAlZDywVH1wbgsaVQZZb1Lmzqbz/oREiay33BBziI6oVa87tv89UFp0s6sErSYRFh/G9LPTAejr0ldni27Xn0Tw5fqLJCSrca9mz489aotFN0HIhkIuo0f9EukW3QBkygiMnTbSrHZQ2lqI1TpD66nS833j4NHpvAs4HxPzi6BN2y48YqbX1JRFNwU/tvghXyy6vatcLbxVr16d69evp/68YcMGXF1z1pHv+PHjuLm5cfr0aSZNmkS/fv1yNfavv/5iz549qWnab7bpfpdrCLnXvVJ3qtlWIyopiiU+S1Jfb1Delp71SwEwZccNklRvLHyWbQKWJYHMPgDKwNJJGidk6cGDBzx48EDfYQjZ8A33ZdiRYcQlx9G4RGPmNpuLQp6HC1w3/oGjKXU2Ov4IFd05dieEL/+UvpS1rWrPyv/VE4tuQp4aUXcExU2K4x/pz5rrazIf2HKC9M8rmyE8IPXlFpWKUae0NQnJaladeKjjaAsnMYfowK3dUof2Vx3bfY9Ir9fujUZpxMyzMwmLD6OidUW+cf1GJyE8CImm37rXNTt/7eOKgUJ33VIFobBQqVUcfLYq3aIbvF6I8wxaSVBETNo3W4yD6t1AnQzb/gcvH+k81vxOzC+Ctmy94MdMr0kYWF5FhoJFrX7Co7yHvsPKlVzNxIsXL6Z///4ANGvWjBkzZrBo0aKsD0oxe/Zs5s2bx4YNGzh37hz79u3j7t2MWzFnN7ZHjx6pGW+v4nnXawi5p5ArUmuT7Hiwg+vPXy/GTvygGjamBtwJjmLdmTeKxsoV0GFByg8ZLb5poMN8aZyQpa5du9K1a1d9hyFk4Wn0UwYfGkxEQgQ1i9VkcevFGCoM8y6Ax96wY6j0vPEIcBvI4VvP+GrDJRKT1bR3cWD55/UwUor/3oS8ZWFowYQG0qLa79d/51HEo4wHlmkI5VtKXXhPL059WSaTMTKlpujG8/6ERmeSNSdkSswhWnZrt9SZPaM6tkdns/PkDI49PoZSrmR+8/kYKYy0HsLjsFg+//08YTGJ1Cplxe/93MRNFUHIIZ8QH57FPsv0fZkMNMpw+m/ZRnySKu0bXX+DEnUgLgy29IaEKN0HnI+J+UXQhq3eD5l1fiJKyxvIUbKk9c+4l3XX3gXezFD3O6Xz5o65Wnhr0qQJJ06cYO/evUyaNIm7d+9Sv379HB17/vx5OnWSUgMtLCxo3rw5Xl5euRp78eJFVq1axZkzZ3J9jYSEBCIjI9M8hJyrY1+HLs5dAGnLkFojZbfZmhkyqWM1AH4+dJ/A8DcKx7p0gZ5/gmWJDM4oB8Ocb1suyoYNG8awYcP0HYaQibD4ML469BUhsSFUsKrAsrbLMDUwzbsAXj6SPvypEqBKR2j3HQduBDN00yUSVWo+qOHIb5+5YqgUmRCCfrQv256mTk1JUifx/fnvM68T+yrr7fIGiHjdMbtVleLUKmVFfJKa1SdF1tu7EnOIFqlVcGACqd3Z3/JYqWC+378AfF33a6rYVtF6CCFR8fxvzXmCI+OpZG8uulMLwjt6Hvs8+0GAb1gQk3dcTztnGZpKzRbMHSDkFvz7FRThUkdifhHe19YLD5l1YQJKi1vIMeCXtktoXaa19i7wdob6+g+ln2/t1t413pLrb1w2NjZ07NiRTp06YWNjk6Nj4uLiiImJwc7OLvU1Ozu7NNtEczq2bdu2mJubc+HCBXr37k3fvn3f+RoA8+bNw8rKKvVRunTpHP0uwmuj643G3MCcmy9usuP+jtTXP3EtRYNytsQlqZi5+2bag1y6wKgb0O8/qZFCvz1Q61NADdsHwPN7eftLFEDDhw9n+PDh+g5DyEBMUgxDDw/lUeQjSpiVYGW7lVgbW+ddAHHhsKknxIaCYy3o/jv7boYwYrMPSSoNH9YqwdLedcX2I0GvZDIZUxpOwUhhxPmg8+zz25fxwHJNoWwzUCXCmSVpjn+V9bb+7CM8bwSx60og53xfoFIX/GZPuibmEC3KomO7CphS3JZYmQxXy4r0c9F++ZOI2CT6rvHm0YtYStmYsGFgQ2zN8jC7WhAKgeKmxXM0Tqay5F+fQH4/5Zf2DcuS0GszKIzg7l449r0OoiwYxPwivI+tFx4yy3s8SvM7yDFgmfsvtCjVQnsXyCxDPTJIel1Hi295+q3LxMQEY2NjIiIiUl+LiIjIsPhidmNfbTNdvXo1V65cYefOnTx48OCdrgEwadIkIiIiUh+PHz/W1q9bZBQzKcbQ2tJ2tiU+S4hIkP63l8tlfP9xDZRyGYduPePgzeC0B8oVUL651L20fAvo8guUbgQJEbDlU4gNe/tSgpDvJagSGHl0JLde3MLGyIaV7VbiaOaYdwGokmB7Pwi9CxYloc829tyO4Ostl0lWa/ioTkkWf1pHLLoJ+UJpi9J8VesrAH648EPq/JFOy/HSPy/9AVGv55I2Ve0pY2tKfLKarzb6MHLrFXqv9qLZgqMcuBGk4+gFIUV05tvT1llZctnYGDO1mrmlO2m9xmdsYjID/vDmTnAUxcyN2DiwIY5Wxlq9hiAUBa72rjiYOiDLtA41OJo6MrH1BwDM23+bY3dD0g4oVV/6PgNwaqG0hU0QhBzbcuEBsy6MQ2l+FwWGrGj3G02dmmrvAllmqKe8dmCiTrad5vk3r9q1a3P8+HEAkpKSOHv2LLVr136vsaamphgaGpKUlPTO1zAyMsLS0jLNQ3h3vav1xtnKmZcJL/ntym+pr1d2sGBwiwoAzNx9k5iE5MxPojSCTzeCVRkIeyitOKuSdB16gdW/f/80tQ0F/UtWJzPh5ATOB5/HVGnK8nbLKW9VPu8C0Ghg71h4eBwMzKDPNnb6ahi59TIqtYburqVY2LMOSrHoJuQj/av3p4JVBcLiw1jqszTjQeVbSDdmVAlw5vUYz5vBBITFphseHBHP0I0+YvEtC2IO0aI3OrGrgAvGRuwzM+VvczN+tbECYNKLlzjZaXeLaUKyiq82XMInIBxLYyUbBjagXDFRrkMQckMhVzCxwUSATBffOlXoxBdNnenlVhq1Br7ZfJkHIdFpB9X+FJqOlJ7vGg6Bl3QZdr4k5hchN7ZceMB3F8aiNLuPAiNWtV9B45KNtXuRLDLUJRqIDJTGaVmef/saN24cI0eOZNq0aXzwwQe4uLhQr149AA4fPpymXltWY5cvX87ixYuZM2cOzZo1o27dulSpUiXb4wTdMJAbMKnhJAC23d3G3bDXzSy+blOJUjYmPI2IZ8mR+1mfyLw49NkKhubw6JTUmjuzuj9FnOgYlL9oNBpme83mSMARDOQGLG2zlOp21fM2iLO/gM96kMnhk7X8/dSW0X9dQa2BT+uX5sdPaqGQZ34nVxD0wUBhwNRGUwHYfm87V59fTT9IJoOW30rPL66F6BBUag2z9tzK8JyvZo1Ze26JbaeZEHOIFhlbATIOm5rgUbokX5RwYIJ9MWYVt0Mlk1ErPoEucmutdmxXqTWM3naFU/dDMTFQsG5AA6qVEDePBeF9uJd1Z1GrRdib2qd53URpAsCm25u4Hnqd77rWwK2cDVEJyQz68yIRsW8lCrSdAZU8IDketn4mbWErQsT8Iryrzd73mH1xDEqzhygw5nePlTQo4ab9C2WRoZ6rce8gzxfePvnkE/766y+SkpLo0qULu3btSn3vxYsXvHz5MkdjAwICePToEbGxsXz77bfs378fuVye7XGC7jQs0ZD2Zduj1qiZe35uatFRE0MFs7vWAGDNaT9uB2XTwMKhulT3DZm0rej8St0GXkCdPn2a06dP6zsMIcUSnyX8e/9f5DI5P7T4gYYlGuZtALf3wKHp0nOPufwVWZ1v/76KRgN9GpZhXreayMWim5BPuTm60cW5Cxo0zD43m2R1BtnRzm3BqR4kx8HZX/D2CyMoIj7Tc2qAoIh4vP1E2YKMiDlES174wsbuHDY1Zox9MZ4p3tpKqtFwzciQIw3+p7WO7RqNhsn/Xmff9WAMFXJW9a1HvbI5q7csCELW3Mu649ndk7Uea1nQfAFrPdZy8tOTNHNqRrwqnhFHRhAc+4Tln9fDydoEv9AYRmzxIVn1RjMFuQK6/w7Fq0JUEGz7DJLiMr9oISPmF+FdbL5wl+8vjUFh6ocSE/7osJr6jjpKmsrpf4dvZLJri0yTaRuxoikyMhIrKysiIiLEttNcCIoOouuursQlxzG/+Xw6VeiU+t7QjZfYfyMY1zLW/D2kSfaLAGeWwqFpUvZOn+1QSYvtgwVBi9bfXM9PF38CYGbjmXSv3D1vA3h6GdZ+IC1IuH3JZrtvmLzzBgB9G5dlVpfqyGQFd9GtIP9dLsix57Ww+DC67OxCREIE4+qPo1/1DIrQ3/OEzT3BwJT97gcZuiMg2/Mu6VWHrnWcdBCxUORFBMLaDqgiAvAoW5Zn8ow/UssAB1NHDnQ/8N413jQaDXP33Wb1KT/kMlj2mSsdamTUJV7ISEH+m1yQYy8MYpNi6X+gP7fDblPaojQbO24kKEzBJ8vPEZek4oum5Zne2SXtQWEPYXUbiHsJNXtCt1VSBrcgCABsunCHOZfGoDB5jAGm/PHB79Syr6mbi13/G3aNkL4vZUomNUoZdT1HN8ve5e+yKPQjaFUJ8xJ8WfNLABZdXERMUkzqe9M7u2BmqMAnIJxtF3PQxKLJ11Dnc9Co4e8B8Pxu9scUIZ6ennh6euo7jCJv54OdqYtuo1xH5f2iW8QT2NxLmkQqurPBemjqotuApuUK/KKbUHTYGtsypt4YAH678hvBMcHpB1VqDyVqQ1IsNR9vytF57S1EofmMiDnkPcWEwoaPICIAn+LlMl10Ayn7Mjg2GJ8Qn/e+7G/HHrA6pZvi/O61xKKbIOQRUwNTlrkvw8ncicdRjxlxZAQV7A1Z1FOqI772jB9/XXjr+41tBeixHmQKuP4XnFmc94HrgZhfhJzYdOE2cy6NlhbdZOZs6LhWN4tuqiTYPxH+GSh9X3KogXRL7O3vRyk/d5ivtQz1N4mFN0Hr+lXvR2mL0oTEhbDy2uttoiWsTBjTXqrDN3//HZ5FxnPO9wW7rgRyzvdF+jo8Mhl8uAjKNIGESCnLQXQ6TTVmzBjGjBmj7zCKtKMBR5l5diYgFYj/osYXur2gWgV+p6Q7Nn6nIC4cNn8K0cFgX50NpWYybY+0QD2oeXmmf+giFt2EAuWjih9R176ulDXtPT/9AJkMWk4AwOneBqpYJmXRfw5KWBnToHzGXc2LOjGHvIf4CNjYDULvgaUTz1uOzdFhz2Ofv9dl/zz3iJ8O3gNg2ocu9Kxf+r3OJwjCuylmUozl7suxMrLieuh1xp8YT7vqxRnlXgmAKTuvc/HRW99VKrSEDxZIzw/Pgrv78zjqvCfmFyE7my7cYo7PSBQmTzCUWbCp4zqqF9dBbeyoZ7C+C5xfLv3cfCx8dRJ6/gmWb924siwpve7SRftxAEqdnFUo0owURkxsMJHhR4az4dYGPq74cWpnx36Ny/KvzxNuPo2k1Y/HiEt6XQ+hhJUxMzq7pL17qzSCTzdIadovH8G2/8H/doDSMI9/q/xn0aJF+g6hSLsQfIFvT3yLSqOiq3NXxtQbo9tFrlu7pfbXb3biURpBcgKY2bO54o9MOyBtuxvaypnxHlXEoptQ4MhlcqY1mkbPPT05EnCE44+P06p0q7SDqnQEh5rInl3nt2rnaXe5GTIybgxfoZgZorRhxsQckkuJsVKWcdBVMC0G/9tJcVVEjg4tblo815fdeTmQ6btuAvBN20oMbJaHHbMFQUhV3qo8v7b5lS8PfsnxJ8eZ7z2fSa0nczc4iv03ghmy8RK7RjTDydrk9UENBkHILak50D9fwpeHwb6a/n4JHRPzi5CVjRduMM9nNArjYAxllmzutI4qdpW1f6EAL/irn5SgYGQJH6+AqillsFy6SM/9z0qNFMwdpAZIOsh0e0VkvAk60aJUC1qUakGyOpn53vNTGy0oFXI+rFUSIM2iG0BwRDxDN/pw4MZbnX/MikGfbWBoAf6nYe8Y0ekU8PDwwMPDQ99hFEm3X9zmm6PfkKhOpFXpVsxsMlP3i25/9U3f/jo5AYCz9r2YfDQcgK/bVBSLbkKBVsmmEn2r9wVg7vm5xCbFph3wRofTig83srpnRRyt0m4ntTE1QAac8X2RfTftIkrMIbmQnCj9LQ44K32I/9+/ULwydiZ2yGWZf6SWIcPR1BFXe9dcXfbwrWeM3S51++3fpByjU7JrBEHQjzr2dZjffD4yZGy7u411t9aysGdtqpWwJDQ6kUHrLxKb+FaToA9+gHLNITEatvQq1Lt4xPwiZGaj9w3mXR6F3DgYI5k12zr/qf1FN41Gas74Rydp0a14NRh07PWi2ytyBZRvDjU/kf6pw0U3EAtvgg5NcJuAgdyAs0/PcvTxUQBUag1/nnuU4fhXS2mz9txKv+3Uvhp8slZqtHB5A3gt013ggpAF/0h/hhweQnRSNPUc6vFjix9RynWYPKxWSZluGebzSK+We7gJOWpGu1dmbHux6CYUfF/V+oqSZiUJiglixbUV6QdU7Sx9kEqIxD1yJ6cntGHLoEYs6VWHLYMacXFqO2Z/JHXTXnz4PtsuZN+EQRCypFbBjsHw4BAoTaDPX1CiNvdf3ueLA1+g1qgzPEyWshl6QoMJuWqscNY3lGGbfVCpNXRzdRIlBAQhn3Av686EBlLpgyU+SzjyeD+r+9bDzsyQW0GRfLv9Gml6GCoMpHpv1mWlXTx/9ZVqTwlCEbHB+xrzrnyD3OgZRjIb/uq8noo2ztq9SGIs7PgK9o8HdTJU7yZlmBarqN3r5IJYeBN0poxlGfpX7w/Ajxd+JD45Hm+/MIIi4jM9RgMERUjj0qncHtp/Lz0/OBXuHdR+0AVIs2bNaNasmb7DKFJCYkP46tBXhMWHUdW2Kr+0+QVjpY4Lt/ufTZ/p9gYZUFL2goUNohkpsiCEQsLUwJTJDScDsOHmBu69vJd2gFyemvWG128oEqNo7GxH1zpONHa2QyGX8XmjsgxvLX2gm7zjBsfuhOTlr5DviTnkHWg08N8ouLkD5Abw6UYo25iboTcZ4DmAF/EvqGJThe+afIeDqUOaQx1MHVjUahHuZd+9M/vVx+EMWn+RxGQ17Vwc+KF7rew7wguCkGc+q/ZZ6ned6Wen8yT+Giv+Vw8DhYy914P45eiDtAeY2aXs4jGHR6dg/4S8DzoPiPlFeNuf3leYf3UkcqPnGMvs+LvLBirYVNDuRcIewpp2cG2b1NDEY66UuGNkrt3r5JJYeBN06suaX+Jo5khgdCDrbqwjJCrzRbc3ZTqu0TBw7ZvS6fQLCLmtxWgLlooVK1Kxov5X74uKiIQIvjr0FYHRgZSxKMNy9+VYGFro/sLRz3I07ONKBjoORBDyVsvSLXEv406yJpnZ52anzyhy+QiKVZYK3XuvyvAc49pXoZurEyq1hmGbfLj6OFzncRcUYg7JIY1Gutnn86eUdd99NVRy59KzSww8OJCIhAhqFavFGo81fFzpYzy7e7LWYy0Lmi9grcdaDnQ/kKtFt/vPoui3zpuYRBVNnO34pXddlArxsV0Q8pvR9UbToVwHktXJjD42GkvL58zuKmVcLzp0jwM33urQbV8Nuv8OyODiGrjwe94HrWNifhHetN77MguujkRuGIqJrBj/dN1AOeuy2r3IPU9Y1Qqe3QCz4tBvNzQeLpUnySfEDC7olKmBKePqjwNgzY01yA1e5ug4e4tMsohkMui4EMo2g8QoqaNjTKi2wi1Q/vjjD/744w99h1EkxCbFMvzIcB6EP6C4SXFWtV9FMZNieXJtlZm9VscVNSEhIVy5coXExMT3Gvv48WMePHiAWp3xdjJBNyY0mICp0pQrz6+w4/6OtG/KFdAiJevt7C/Sh65XHX/VKgBkMhkLuteieaVixCWp+OKPC/i/iMnj3yJ/EnNIDp36Cc79Kj3vvBSqf8zZwLMMOTSEmKQY3BzdWNV+FVZGVgAo5ArcHN3oWKEjbo5uudpe+jgsls/XnCc8Nonapa1Z1bc+xga6rT0jCELuyGVy5jSbQ32H+kQnRTPsyDBaVTekf5NyAIz56wq3gyLTHlTlA2g7XXq+bzz4nczboHVMzC/CK394X+KHqyORG4ZhKrPn3482UsZKix251Wo4Ng8295RuxJZqIHUtLZf/Mi7Fwpugc+3LtqehY0MSVAkcfvY7JayMyWrt2dHKmAblbTMfoDSUOp3alIdwf9j2eWqReUHQtiRVEmNOjOHq86tYGFqwst1KnMyd8uz6l2PsSNRkXkNOrYGnGju8VVXzLKaCYuHChTg7O9OzZ0+cnZ25fz/zIvuZjX369CkeHh40bdqUNm3aUKdOHQIDA/PqVyjyHM0cGV5nOACLLi0iLP6tMgTVu0mdqOLDpQ9d/wyE9R/C4hpSUxLAQCFn+ef1qF7SkhcxifRb682LaDFnCDlwfhUcTSlx4TEXXP/HkYAjjDg6gnhVPM2cmrGs7TLMDMy0dsmQyHg+X3OeZ5EJVHYw54/+bpgb6bCOqCAI781QYcji1otxtnImJDaEoYeHMrKdE80qFiM2UcWX6y+mn3eajYaaPUGjkuq9hT3UT/CCoAWJycn8cekw3x3byB+XDpOYnMza8xf48dpI5IYvMZU5sPPjjZSy1OJ3qNgw2PIpnJgv/ew2CPrvBcuS2ruGFomFN0HnZDIZExtMRCFTcPTxEXq1kDrUZbb4ZmNqQGJyNlklprZSjQQjSwg4B/8VvU6nv/32G7/99pu+wyjU1Bo1U85M4UzgGUyUJixru4xKNnlYR+3pFarv64ahLBmNRlpkSxuf9M9ZSf8jJEYU6H3T8+fPmTFjBhcuXODevXv069eP6dOnv/NYf39/vv32WwICAnj06BFVqlThhx9+yMtfpcjrU60PVW2rEpkYycKLC9O+eXdfxtuxI4OkLzIpi2/mRkrWDXCjlI0Jj17E8kVGHeeKGDGHZOPKFtifklHZcgI0Hs5/D/9j7PGxJKmTaFe2HUtbL9Vqnc/w2ET6rvXG/0UspW1N2DCwITZmhlo7vyAIumNlZMVy9+UUNynOg/AHjD05hkWfVqecnSmB4XEM3eST9vuNTAZdlkJJV4h7CVt6Q3xk5hcoQMT8UrT8eGo79f9szcIbo9kesICFN0ZTb30LFt4YjtwgAjNZCXZ120QJixLau2jQNWlr6f2DoDSGj1ZAp5+kBJ18Siy8CXmiok1F+lTrA8DhkFX80qcmjlZpP6zamRliqJRzO0iqaxKdkM2XouJV4JN1Us2VKxulrUZFyLJly1i2THR31RWNRsN87/ns99uPUqZkUatF1LGvk3cB3PgX1nbAJC4YX3UJZiT3I5i0maDB2DE0aRSe6gaZb88uoo4dO0a9evWoWlXKBBw4cCD79u1757GNGzfG3V2qzySXy6lcubLoKJjHlHIl0xpNQ4aM3b67uRB8QXojteNvRlJWpQ9MTN12am9hzPovGmBtasDVx+F8vfkyyaqiu3VYzCFZuP0f7JIyLWk4BFpNYvu97Uw+NRmVRkUX5y780OIHDBTaq60Zk5DMgD8ucCc4CnsLIzYNbISDpfi7LggFSQnzEixzl7JgLwRf4KfL37GqryvmRkq8/cKYsftm2k6nBibQazNYlIDnd+DfQalzVkEm5pei48dT21nv+x1qeXia1zWKKOTKOJRqa3Z334SjuUPGJ8iNq1ulJgrh/lKX4IGHoE5v7Z1fR8TCm5BnhtYeip2xHY8iH/FcfoTTE9qwZVAjlvSqw5ZBjfCe4s6WQQ2xSJmcPv/9PBGx2WTxVHIHj3nS80PT4e5+3f8i+cSuXbvYtWuXvsMotFZcW8GWO1uQIWNOszk0c8qjWgFqtbS16e8BkBzHdRM3Pk78jj9VHjRLWEqvxKl8kziCXolTaZawhIPqBpTIbnt2ERQUFIST0+t09pIlSxIZGUlMTPr6Xjkd++DBAzZs2MDQoUMzvY9WMXgAAIhISURBVG5CQgKRkZFpHsL7q1W8Fj2r9ATgu3PfkahKzLbjL2ggMlAal8K5uDlr+tXHSCnnyJ0Qpu1660tQESLmkEw8PC79/dWooHYf8JjH+lt/8t2579CgoVeVXsxuOhulXHvbPxOSVQzZeInLAeFYmRiwYWBDytiZau38giDknaq2VVnUahFKmZL9fvvZ+2QtS3vXQSaDLd4BbPDyT3uAZQnotUnK2rl3AI58p5/AtUjML0VDYnIyG+4vBdL3MJDJpM1oKo0GayMb7VwwORH2joMdX0FyPFRsB4OPQ4la2jm/jomFNyHPWBhaMLreaABWXF3Bs9gglGYPMbC8itLsIaCmXllbNg9qhLWpAVceh9N7tVf2tXgafgX1BgAa+OdLeHZT579LfiA6BunOljtbWHZFulM3scFEOlbomDcXToiSahae/BGADfIudH05kli51AZbgxwvtQu71U3wUrugSfkTPqOzCwq5yMJ6k4mJCfHxr7sjx8fHo1AoMDZOn0GSk7G+vr507tyZP/74gypVqmR63Xnz5mFlZZX6KF1aiwVki7hvXL9JvXnzx80/ctzx9+1x9crasrR3XeQpX4J+PfpA+8EWAGIOycDjC7ClD6gSoeqHaDovZfm1lfx08ScAvqjxBZMbTkYu097H52SVmpFbrnDqfiimhgr+GOBGFcc86JgtCILONCnZhFlNZwGw9sZannGUCR2krPpZe25x9sFbjeGc6kGXlCYuZxbD1W15GK32ifmlaNh89TgaRXimjUNlMtAoIth89fj7XywySKrhe2G19HPLCdDnL6n8VAEhFt6EPNXZuTO1i9cmNjmWrju78oXnF0w4NYEvPL/A4x8PDvsfpmYpK7YObkQxc0NuBUXSa5UXIZHxmZ9UJoOOP0L5FpAYDZt7QfTzvPul9CQsLIywsLDsBwpZUqlVXAi+wL6H+7gQfIH/fP9j3nkpi3Jo7aGpW6R17uUjWNMe7u4lWWbImKShTIvtRQV7S3aPaMaKz13Tbc92tDJm+eeudKihxZoJhUSlSpW4evVq6s9Xr16lfPnyKBTpOwNmN/b27dt06NCBZcuW0aZNmyyvO2nSJCIiIlIfjx8/1tJvJFgaWjLebTwAq66t4rEihx9hMtje4FHdkVldqgOw8NA9/rpY9P5/EnPIW4JvwKbukBQDFVqj6b6GhZeXsOyqdBPmm7rfMLreaK1uNVerNUz69zoHbgZjqJCzum996pbRUmaAIAh61cW5C1/X/RqAeefnUancIz6u64RKrWHYZp/0HbZr9YBmY6Tnu7+GJxfzOGLtEfNL0RAQGazVcZl6dAZWtoDH58HICnpvg9aTQV6wlrJEmyQhT8llctqWacvV51eJV6VdTAuJDWHM8TEsarUI97LubPuqMZ+tPs/9kGg+XeXFpi8bUtLaJOMTKwygx3r4va3UFWjbZ9BvDyiN8uC30o/mzZsDcPNm0cjw04XD/oeZ7z2fZ7HpM2d6VenF0NqZbynUKr+T8Fc/iAvjhdyWgXGjuKKpSJ+GZZjWyQUTQwUuJS1p5+KIt18YIVHx2FtI20tFplvGWrZsiUKhYPTo0bRr145p06YxePDg1Pe9vLyoW7cuRkZGWY69d+8erVq1YvTo0ZiYmODl5YWNjU2mWW9GRkYYGRXevzv69kH5D9jxYAdeQV7MCfRkuWVJZJFBpNZ0e5tFCSjbJMO3/te4HE8j4ll+3JdJ/17H3sKIVlXsdRd8PiPmkDe88IUNH0N8BJRuiPrTDXx/8Qe239sOwAS3CXzu8rlWL6nRaJiz7zbbLz1BIZfxS5+6NK1YTKvXEARBvwbVHERQTBB/3/ubCacmsKzNKh6GWnP1cThfrr/Iv8OaYGH8Rq3INtOkWm9398HWz2DwsXzboTErYn4pGspYOmp1XDoaDXgth4NTpfIP9tXh0w1g55y78+lZwVomFAo8lVrFptubMnxPk/LFaYH3AlRqFc7Fzfnrq8aUsjHBLzSGHivOEfAiNvOTm9pKKadGVtKK+J6RhbrTae/evendO/8XksyvDvsfZszxMRkuugG4ObrlTRF979Vo/vwI4sK4rqlAx9jv8DOuxorPXZn7cU1MDF9naCnkMho729G1jhONne3EolsW5HI5+/btIyQkhB9++IFu3boxZox0J1mlUjFq1KjUu7FZjb1//z7ly5dn586djBo1ilGjRrF69Wq9/V5FnUwmY2qjqRjKDTnz9CyeDV4thmTy34LCQFpMycR4jyp0e5WBsMmH608yH1vYiDkkRUQg/PkRxISAQ02Se21mivdctt/bjgwZs5rM0vqiG8AvRx+w5rQfAD90r4VH9Vx+MREEId+SyWRMaTiFlqVakqBKYOzJkUz/qBgOlkbcD4lm1NYrqN5sWS+XQ7dVYO8C0cGwtQ8kxenvF8glMb8UfonJas4+epjlV22NBmTJ1vSp3erdL5AQDf8MBM9J0qJbzR7w5aECu+gGINMU1arCmYiMjMTKyoqIiAgsLS31HU6hcyH4Al94fpHtuLUea3FzdAPgaXgcn/1+Hr/QGBwsjdj0ZSMq2ptnfrDvUdj4ifQfqftMaDZaS9ELhYVKrcLjH49MF91kyHAwdeBA9wMo5Om3JmpFcqLUkfHiWgB2qpowIWkwdSs48vOndShhlUl2ZxFUkP8uF+TY87PlV5ez7MoyipsUZ1fVIVgcnpG20YK5g/RlJSESStSGvrvAJOMtfInJar744wKnH4RSzNyQf4c2FYXti4qYUFj3AYTeA1tnEvvtZrzPTxwJOIJSpmRu87l8UP4DrV923Rk/Zu25BUg1Ogc0La/1awgZK8h/kwty7EVdbFIsAz0HcuPFDZzMnZhcZxlfrrtLYrKaYa2cGZ9S/y3Vy0ewqjXEhUGN7tB9Tfrq9YKgJzeePuPLvVOIMTwPvM5zefNf0Vev9XOezrfNe7zbBV74Shmfz2+DXAkec6HB4Hz538C7/F0WGW9Cnnoem7Paa2+OK2ltwravGlHZwZxnkQn0WnWO20FZdAp0bgMfLJCeH54Fd/a+T8hCIeQT4pPpohtI2ZfBscH4hPjoJoCYUGlb08W1qJExP6kXY1Uj+MajJpu+bCQW3QQhGwNrDKScZTmexz3n1zhfGHUD+v0nfTnp9x+MuQ0DD4JpMQi6Kv33Fhee4bkMlXKWf+6KSwlLQqMT6bfOm7CYxLz9hYS8Fx8h/XsReg8sSxHXZxvfeH/PkYAjGMoN+bn1zzpZdPvn0pPURbdR7pXEopsgFAGmBqb82vZXSpmXIjA6kGW3J/P9x5UBWHbcl11XAtMeYFNO2lInV8KN/7d33/E1nX8Axz/3ZkcG2TKsGAmxYsSeMaq12hq1i9asmlWrRvnVaFFqq1G7qlpq1awZsZIYMYIYIVtkr3vP74/D5cogZN143q+XV9xznnvO91zxPPd8zzN2wImf8j9oQXiFJEn89N8Buu/tKifdJAXeJXvSu9wklOriWmWVquJvl3S7vhdWNpOTbmb28nc6r0GFMumWUyLxJuQrW1PbtypnZ27M1i/ra26MPlvlQ8DDmKwPUPcLqDMQeaXTLyD08tsHXUiNGjWKUaNEb7638TYJ4FwTegVpVXO4d5I4yYSBqWPYa9mdPwY3YFjz8mL4qCC8AUM9QybVmwTIqxBfjb4OZRtD1U/ln0o9sHOHvrvA1BoeXYKNH2c57NTc2IC1n9fBqbg8tcGA9edISlXl5yXlu/e6DUlNhM3dIDQATG2I/2wzg8/N5NSjU5jom7DEewnNXJrl+mn/vRrKNzsCAPi8YRm+blkh188h5J0jR47Qv39/hg8fzvXr19+q7OHDh/n000/59NNPWbJkSV6HLBQi1ibWLG+1nOJGxbkadZX/YubzZZMyAHzzRwD+D2K031Cmkbx4HMCR73WqI8F73b4UUVHxSXy04TvW3h2HwiAaA8maBU1WsqD1t4xv0p3zfY4yxmMBXUqNZ4zHAs73PZqzpJtaBYe/h62fyaMVStWHQcehdP28u6h8JhJvQr7ytPPE3tQeRVbz8QA2JjZ42nlm2G5VzJAtX9SjhktxYhLT6LnqLBfuZbNiTtvZUK6ZvELZ5u4Ql3UPJ13077//8u+//xZ0GDopRZXyRuXeNFH8xgJ3o/61FYqY+wSr7emcOh3L6u3ZM6KRWMlOEHKoXsl6fFjuQyQkpp2ehs8jH83qxCr1s6SZfZUXw0xDLsDGTyA58x7T9hbGrO9fB0sTAy7dj+GrLZdIV6nz8Yry13vbhqSnwu+94f4ZMLIkptt6vrgwm4vhFzE3MGdlq5XUK1kv1097OiiS4ZsvoVJLfFrLmSkfVs6feUSFXOHr60vnzp2pWrUqZmZmNG7cmKdPM0/kZ1fW1dWV7t27U6xYMc6dO5eflyAUAqUtSvNLy18w0jPi+MPjpFhup4WbLSnpar7ccJ7wWO2F56jdH+p8If99xxcQdlVOUNw9AZf/kH+qC99Dove2fSmi9ly7QostXbkv/YVCIVGxWFOOdN+Fd7kXbaWhvj79annzXfNe9KvljaF+DtbwTIyGTZ/CiR/l116D5UUSzYvW3KdijrdXiPkT8t7zSe3hxYIKLzMzMGNlq5VUta2a6fvjU9Lpv+4cvnejMTXUY3Wf2jTIaiWwpCew2huigsC5jtxd1cA4165F0C2SJLHtxjbmnZtHqjrroWS5PsebJMHxeXB0FgAnVVX4RjmGcZ286FzT+d2PX8Tpcr2sy7HrgsikSD748wOS07VvVuxN7fm27rd4l/aWNzwOgPXtITkGXLyg1w4wMs/0mOeDo+mx+iyp6Wp6epViZicPkSApKtQq+KM/XPsL9E2I7LaeL64tJygmiOJGxVnRagWVrSvn+mn9HsTQY5UPiakq2lSxZ0kPT/T1xLPvgvC2dXLfvn0pV64cU6dOBaBTp060atWKYcOGvVXZH3/8kStXrrBu3bo8j10ofI7cP8KoY6NQS2q+rDqUv49VJig8nuouxdn2ZT2MDV767qlKk3ts3z0uT5+g1JcXXnjOwhHazoHKHfL/QoQiLTVdxdf/rOZE9EoUeqko1MYM8fiGIXVyOHw0O4/8YFtveHof9E2gwyKo1jX3jp/HxBxvQqHmXdqb+c3mY2dqp7Xd1sQWJzMn4tPi6X+gP0fuH8n0/WZG+qz/vC6NK9iQmKri83XnOHojPPOTmZSQVzo1Lg4Pz8Gur4r0SqdC1p4kP2HE0RHMOjuLVHUqblbyRLav9r58/np83fG5k3RLTSB9W19N0m1tehvm289my4i2IukmCO/IL9wvQ9INIDwxnNHHRnPo3iF5Q8lqcs8342erXm/qIq+YlYnaZaxY1L0GCgVsOnufpcdu5+UlCPlFkuTVzq/9BUoDHndeTL8riwmKCcLWxJZ1bdflSdLtRmgc/db6kpiqolF5GxZ9VlMk3XTQtWvX8PLy0rz28vLi2rVr71w2OykpKcTGxmr9EYqGFqVa8G3dbwFYeXkpn7UIw9LEAP8HMUz88zJa/WL0DKDLeihmB4mR2kk3gNjH8HsfuLYrH69AKOquPg6l6foBnHz6Cwq9VEooK/Fnxx25m3S7tBF+bS0n3UqUhYGHdCrpllOi5RcKhHdpbw58coA1bdYwp/Ec1rRZw8FPD/Jnhz9p7NSYZFUyI4+OZFPgpkzfb2Kox6o+tfF2t5O7Z/92nv1XQjMti7UrdP1NfkJ0+Xc4OT8Pryz/+Pr64uvrW9Bh6ASfxz58susTjj04hoHSgG/qfMO2j7axoNmCDAlge1N75jeb/6KnzLuIeUDSilboX/+bVEmPb9O+IKrx92wb0ojS1sXe/fiC8B5TqVXM9p2d6b7nvann+M55MezUsQb0/guMLOVhhpu7QmpCpu9v61GSae2rADDvwA3+uPAwt8MvcO9VGyJJ8O9kuLQBFErufTiHvoGruBd7D8dijqxvux7X4q65ciqVWuLM7Sj+9gvh70sh9FrtQ0xiGjVLFWdF71oY6efRStlCnoqLi6NYsRfttpmZWZZDTXNSNjs//PADlpaWmj8uLi45D1wotD5z+4z+Hv0B+CXgB4Z/qEZPqeDPSyGsOnFHu7CxZTZHepak2/9toRl2+l61L0XQghN76bb3U+L1L4CkpHXJfhztuY3yVqVy5wTpKbB7JPw9DFQpULEtfHkMHDxy5/iFVA4G3+aejRs3cuDAARwdHRk7diy2tlnPo5RV2YSEBJYvX87ly5epUqUKQ4YMwczMDICVK1dqjSuvX78+Y8aMyduLEnJMT6lHHYc6WttMlaYsarGI/539H9tvbme272wexj1kbO2xGXofGRvosaxXLUZu9WPP5ccM23yR+V2r07GGU8aTlWsKH8yFPaPh8AywrqDzXbI///xzAK5evVrAkRReaao0fvH7hbVX1iIhUdayLHObzNX0dvMu7U1zl+ZcDL9IRGIEtqa2eNp55kpPN3XwaVI29cAk7QmRkgWTDMbTr89n1He1fudjC4KQs9WJNW2Nkyf03gkbOsG9U/IE+z1+B0PTDO/v26AMj54mseK/O3y7IwA7cyOaVMzleR8L0HvVhhz/Ec78AsCtVlP48vZGIpMiKWNRhlWtV+FQLHfmkdl/5THTd1/j8VPtXpiOlsas7VeHYkYF8rVbyAV2dnaEhb2ob8LCwnBwyPz3JidlszNhwgRGjx6teR0bGyuSb0XM155fE5oQyt67e/n15jQGt/ofSw4k8cO+61SwM6e527OHw/dOQ0IWo3sAkCA2RC5XtnG+xJ6d96p9KUKiExLpu/N77qbvQaEvYaC2Y17TObQsVzv3TvL0odxDM+QCoIBmE6DJOFAW/f5g+X6Fv/76K5MmTaJRo0aEhITQrl27tyrbokULQkNDad68Ofv376djx46afRcvXsTa2pru3bvTvXt3GjZsmKfXJOQufaU+U+pNYVQteTWcjYEbGfPfGJLSkzKUNdBT8nP3Gnzs6YRKLTFymx+/n3uQ+YHrDIC6g+S/7xwEj/3z6hLyxaRJk5g0aVJBh1Fo3Yu9R+99vVlzZQ0SEp9W/JRtH23TJN2ee54AbleuHXUc6uRK0i329K+o17XHJO0JV9Wl+bH0cmaP+lIk3QQhF7316sTOtaDXn2BoDsEnYEt3SMvYvgCMb+NGpxqOpKslhmy8wJWQnPdaKazemzbk7Ao4OhOAq01H8fn9P4lMiqRiiYqsbbs2V5NuQzZezJB0A3j0NBmfO1G5ch6hYDRt2pTff/8dgNTUVP766y+aNWv2zmWzY2RkhIWFhdYfoWhRKpR83/B76jrUJSEtgX0RM+lU2wRJghFbLhEUHicXjH/DBeLetFwee2/alyJkz3V/Wmz5hGDVPygUEpVMvTn22d+5m3S7exxWNJWTbsbFoed2aDb+vUi6QQEsrlC9enVmzJhBx44dkSSJcuXKsXHjxkyTY9mVjYiI0PR+i4iIwM7OjuTkZIyMjBg8eDA1atRg8ODBOY5PTFxauOy/u5+JJyeSpk6jmk01FrVYhLVJxuSFWi0x+e8rbD57H4AZHavQp36ZjAdUpcPmLnD7CFg4wRdHityKKe87SZLYdXsXs87OIik9CQtDC6Y3mJ47Q0dfR5XOg22jcLn5GwD71PWIbfMzXRtUEpOzvwNdrpd1OfbC7lzoOfof6P/acmvarMnQuxqA+2flCatT46Fcc/hsCxiYZCiWmq7m83W+nAqKwtbciD+HNMDFKmMPOaEQ8tsCf8nfBS969WfokzMkpCVQ1aYqy7yXYWmU3fCtN6dSSzSacyTTpBuAAnCwNObk+BboKUVbUJDetk4OCwujXr162NnZ8fTpU5ycnDh48CBKpZL9+/dz4cIFTaIhu7LXr19n8uTJ3Lx5k9jYWGrXrs2QIUNo2bJlnsUuFH6xqbH03deXoJggylmWQz/0Ky4Ep1DG2pS/hzXCMswH1n/0+gP1/adQ9HgTdEe6Ss2If5ZxPPpXFMo0FGpThlWdwKDanXLvJJIEpxfBoWkgqcGhKnTdAFZlc+8cBSQn9XK+9nmXJInr169rJhxVKBTUrVuXa9euZUi8va7sy8NTfX198fDwwMjISLNt27ZtnD59mipVqjB48GAsLTP/cpWSkkJKSormtZi4tHBpW7YtdqZ2jDg6goDIAHrt7cVS76WUtdT+j6pUKpjVyQNjfT3WnLrLd39fJTlNxZdNXpmzRU8fPl0Lv7aCyJuwtQf025PpzZage2JTY5l5Zib7gvcBUNu+Nj80/iHXejRkJzk2kpBV3XGNOwfAeuNeNOj3AxUcxJdjQcgLnnae2JvaE54YnukK2c/djrmdeeKtlBf0/AM2fgJ3jsLWntB9c4aVrw31lSzrVYuuy89wPTSOvmt92TG4ASWKGeb2JQm5KXA3/D0UgNM1P+XrqJMkq5Kp41CHxS0WU8wg9+bZ9L0bnWXSDeQZmB4/Tcb3brTo+ayj7O3tuXr1KidOnMDExISGDRuifNZLo0KFCprpbl5X1tbWlu7du2sd29U1d+YXFHSXhaEFy7yX0XNvT+48vUN1lw04xvQkOCqRYZsvsq5vPfQtHOWFFLJq7/SM5E4FgvCGroU9ZsCeccTr+aNQQglFZdZ2nI+rVS7+HqXEyXO5Xftbfl39M/hwfqZTfBR1+dqvLyUlhdTU1DeacPRNy964cYOvv/5aaznuQYMGMWzYMFq2bMnx48dp3rw56enpmcYkJi4t/DztPdnwwQaczZx5GP+QXnt7cSHsQoZyCoWCKR+5M6y5/AXmf3uv8/OhW2To1GlSHD7bKq94GnJBrgx0cKXTDh060KGDbs9Tl5v8wv3osqsL+4L3oafQY0TNEaxuvTpfkm73Ai8QvbARrnHnSJCM2FbuB7qNWSSSboKQh/SUeppV4V5dnfhls87O4vsz35OmSsu4s3R9eaiDgSncPgy/95Yn/X2FhbEB6/vXxam4CXciEhiw/hzJaYVjEuu3VaTbkNtH4Y/+IKk5XKUtw2MvkaxKppFTI5a2XJqrSTeA66Fv9tA2PC7r5JxQ+JmamtKmTRuaNGmCnt6LaSlcXV1p1KjRG5W1trbm008/1fpTpkyZ/LoEoRBzKObAMu9lmBmY4R95EY8aezE1VHAyKJJZ+29C2znPSmbR3qlSYHkjOLca1Op8izszRbp9KSIWntpNt38+IV7PH0nSo7XDQI722vz2STe1Cu6egMt/yD/VKoi4Cataykk3pQG0+xE6LXsvk26Qz4k3Y2NjzM3N32jC0Tcpe+XKFdq3b8+GDRuoVauWZnvNmjX59NNP6du3L7t27eLRo0dZLuM9YcIEnj59qvnz4EEW84MJBaqsZVk2tttINZtqxKbG8sW/X7Dv7r4M5RQKBePauDG2dUUAFhy6yZz9NzIm36xd5S6uSn24skOeeFnQSenqdJb5L6Pf/n48SniEk5kT6z9YzxfVvsiV+dqyI0kSR3f9hvXWD3FUPyYEO65+sINufYZibCBWrhOEvOZd2pv5zeZnWJ3YwdSB+U3n87Xn1yhQ8PvN3xn470AikyIzHqRMQ3mBBX0TuPWvPOlvJsk3ewtj1n1eBwtjfS7ej2HElkuo1Lr30KbIe+Ar915UpbKnYmPGJN0gTZ1Gq9KtWNR8Ecb6xq8/xhtSqSXWnrrL7H3X36i8nXnunVsQhKKnYomKLGy+EH2lPmfCDtOigTyKYu2pYLYl1ICuv4FFSe03WTjBB/OgVANIS4A9Y+C3DvAkON/jFwq/6MQE2m8ax69BE0E/DgO1A4ubrOWnNl+//X3TtV2w0EMeDr1jgPxzXnlY0Rgib4B5Sfh8L9T9At7jqXfyfY639u3bU79+fSZOnEhYWBiVKlXC39+f0qVL56jsxYsX6dKlC5s2baJevXpZnu/Bgwe4ublx/fr1N+rNJuZPKNyS05OZcGICh+4fAuTVgAZ4DMh0/qzVJ+4wc08gAP0alOG7jyqjfHVulQvrYPfX8t+7rIcqnfIweiG3PY5/zLcnvuVi+EUAPiz3IZO9JmNmaPaad767J/EpHFkzkc5Rv6JUSAQaVcOm/1Zs7UU3/9ymy/WyLseuS1RqVZarEx9/eJzxx8cTnxaPvak9P7f4mSrWVTIe5M4xeZXT9GSo1E5uE/QzDif1vRtNr1/Pkpqupne90szoWEXM4VhYhF6Bde0g+Sl/lKvFDCkSCYkOrh2Y3mA6+srcm2HlRmgc43cE4PcgBgADPQVpqsy/Uos53goPXa6TdTl2IWf23NnDtyfkHt31LAdw0KcCBnoKNn9RD09nC66fPUDSkxBMSjjh5tUGPX19uZfbuVXyPFppiWBQDFpNh9oD3pvJ64Xs7b1+iYmnvkWl/wiASqZtWdthOuZG79AD7dou+YFlVkOgbd2g724ws8t8v47LSb2c74m38+fP07p1a6pXr86NGzfo1q0bCxYsAGD58uWYm5vTs2fP15a1s7PD1tYWd3d3zbFXrlyJlZUVffv2JSEhgYSEBM6cOcPw4cOZOXPmG8UnGrXCT6VW8dOFn9hwbQMAn1b8lElekzL9Qr3R5x6T/7oCQPc6LszqXDXjl979E8Bnqdzbof8+cKyZ59cgvLsDwQeYfmY6calxmOqbMrneZNq7ts+Xc/vceMjTbYNpoz4BQKDTp1TqtwylgZjzKS/ocr2sy7EXJXee3uHrI18THBuMkZ4R0xtM58NyH2YsePsIbO4uD9lx+wi6rAM9gwzF9l5+zLDNF5Ek+KZtJYY2K5/3FyFkL+o2rGkLCeH8VqoK8/Tk1QC7VerGRK+JKBW5c+OZkq5iyZEglv13mzSVhJmRPt9+4IaVqSHDNssPgV7+Yv38G8eyXp609SiZ4XhC/tLlOlmXYxdy7tfLv7Lw4kIUKHBXDufsVSfMjPQxMdQjIu5Fr+ySlsZMbV/5Rf0SfQf+/grunZRfl24EHX8pEhPZC29HpVLz1d7FHI9ch0KZjkJlxrCqkxhU5w0W7MiOWiX3dIt9lHUZCycYeRnyeBRSQSnUiTeAyMhIfHx8cHR0xNPTU7P9woULGBkZ4eHh8dqyO3fuRKXSnl/lww8/xMTEhF27dmnmh6tSpQqlSpV649hEo6Y7NgVuYo7vHCQkGjo15KemP2U6b8sfFx7yzR/+qCXoVMORH7tUR1/vpS/gqnTY0h2CDspdYb84Kmfl752Wl+U2s4fSDQpdhbF582YAevToUcCR5K/EtERm+85mZ9BOAKraVGVO4zm4WOT9/IxpKjWr9pyk4fmvqa68Qzp6hDecgWOr4Xl+7veZLtfLuhx7URObGsu3x7/lRIicMO9XpR8jPUdmHFoRdAi29JCTb+4d4NM1mSbf1p66y/Td8jQW87tW52NP5zy/htxUpNqQpw9hTVukpw9Y7lyBpQbyTennHp8zynNUrvVIPB8czfgdAdyOSADA292emZ08cLCUh5Duv/KY6buvaS20kOGmWChQulwn63LsQs5JksSss7PYdmMbRnpG6IcNJjQiYz2SaXJfrYbzv8LB7571fjMF7+lQZ2C+9H4rUu2LjgsMf8iAPeOIU8odUUpQjXXtf6ScVS60SXdPvPer7Rb6xFthJho13XLk/hHGHx9PsioZNys3lrRckmGuH4B/Ah4xcqsf6WqJDzwc+Ll7TQz1X2p4kp/Cr60h4jqUKCsPNYp7/GK/haM8qWnlwjNRaJUq8lCpq1evFnAk+eda1DXGHx9PcGwwChQMrDqQITWGYKDMeFOc2+5FJfDLhq2MezIDO0UMCXqW6HVbj3HF5nl+7vedLtfLuhx7UaRSq/jF7xdWX14NQEPHhsxpMgdLo1dWPr91UF71WpUKlTvBJ7/Kq2K/4n97A1l5/A76SgVrP69D4wq2GcoUVkWmDUmIlJNuUbeY71iGdUbypOJf1fyKL6p+kStJt7jkNObuv8EGn3sA2JgZMaNjFT7wcMhwfJVawvduNOFxydiZG1O3rJUYXlqI6HKdrMuxC29HpVYx6tgojj44CipT4oOHIKVao2d6F4V+HFK6OarEsihQZj6cPfou7PoKguUHTpRu+Kz3W7k8jbvItC86buHpv/j1+mzQS0BS69O25BfMbT1Ys8ryO/NZBvu/fX25T36Fqp/mzjkLGZF4eweiUdM9lyMuM/zIcKKTo7E3tWep91IqlqiYodzBa2EM23SRVJWaFm52LO3pqT0BfvRdeTWg1PhMzvKsEev6W6FJvvn6+gJQt27dAo4k76klNRuubWDhxYWkq9OxM7Xjh0Y/ULdk/lz7nxcfcu6vJUxTrMJIkUacRQXM+20X3fbziS7Xy7oce1G2/+5+ppyaQrIqmVLmpVjUYhGuxV21C93YD9t6gToNPD6BziszJN/UaomR2/zY5f8IMyN9tg2qRxXHV5J4hVSRaEOSn8K6j1CHBjCrpAu/G8tt9Td1vqF35d65copD18KY/NcVQmPlXmzdarswsZ07lqZ5/8BHyH26XCfrcuzC20tKT6Lbrr7cjQtEnVYMUKI0iNPsV6dZkhLWnvQ4D7Z8UY/6rtbaB9D0fpsqL76gbwLe06Dul3nW+61ItC86LCYpnj5/TeFuqjwnuoHKmZ+azqW5a9XcOUH0XTjxE/htAukNVtAVPd4AkXjLQDRquulh3EOGHh7K3ad3KWZQjPnN5tPAsUGGcsdvRvDlhvMkp6lpVN6GlX1qYWr47EZKrYIfK0JiJqveAaCQe74V4XHqhVFkUiSTTk7i9KPTALRwacH0BtMpblw8z88dl5zGdzv9cbs6n0H6ewBIKtcWk26rwcg8z88vyHS5Xtbl2Iu669HXGXFkBI8THlPMoBg/NPqB5qVe6cF6fa88abA6Dap2gc4rMtT/Kekq+q05x5k7UdiaG7FzaAOcS7zDRMXCm0lNhI0fk37/DN85OLLbRB8FCqY1mMbHFT5+58NHxKUwbfdV9gTIvd9LW5vyQ+eqNChv887HFgqOLtfJuhy78G42n7/KLL+BKA3ikSTthSGf38knh/Tipw970bFGFot8PQmGv4e/6P1WqoHc+83aNfPygk7ae+M8E09+i0o/DIBKJh+xtuN3mBuZvPvBo27LCTf/rSA9m/JLz0iemiNTRf/eOSf1sljiRCgSnM2d2fDBBmrb1yYhLYFhh4ax89bODOWaVLRl3ed1MTXU42RQJH3X+BKXnCbvvHc6m6QbgASxIXI5IV8cf3icT3Z9wulHpzHWM2ZKvSksbL4wV5NuKrXEmdtR/O0XwpnbUajU8jeYi/ef0PXn/XS8NlqTdFM3HotJry0i6SYIRYCblRtbP9pKLftaJKQlMOLoCJb7L0f98tNbt3byAgtKfbi8Hf4aKj+keYmRvh4r+tTCzcGciLgU+q7xJSYxNX8vpqhTq+S5ZC7/If9MTYLfe5N6/wzjHEqy20QfPYUesxvPfuekmyRJ/H7+Ad7z/2NPwGP0lAoGN3XlwMgmIukmCEKBKF1cnsbg1aQbvHhtZL8bG7NseuKWKAN9dsGHP8krnt4/Dcsawpmlcq84Qaep1CqG/vMT35wZKCfdVJaMqDyPP7r+8O5Jt8gg+HMQ/FL7WS83Fbi2hP7/wierkUeGvTqlwrPXbWcX2aRbTokeb68QT5N0W6oqlSmnprD37l4ABlUbxLAawzLMwXLx/pNnSbd0qjtbsr5/XYrf3gU7Brz+JIVknHpRnj8hRZXC/PPz2Xxdnpy1YomKzG0yN+NQsHeU2UTYDhbG1C1bgquXL7FSfx6uyseo9YxRdl4qDzcT8p0u18u6HPv7Ik2dxlzfuWy9sRWAVqVbMbPhTEwNXuq1du1v2P65/GWzRk/o8EuGITqhT5P5eOkpHj1NpnbpEmwc6KU9nUEhozNtyLVdsH+89qpp+sYkqVIY5WDPKWNDDJQG/NT0p4w9FnPoXlQCE3de5lRQFAAeThbM/rgaHk66MXxYeD1drpN1OXbh3fg88uWLg6+/R6lnMonZ7TpjbWaUfcEn92DXcLh7XH5dqj50XJJrvd90pn0pIgLD7zNg7xjiFNcBKCF5sq79XMpZ27/bgSNuwPF5cGXHiyGlFVpDk2/Apc6Lcpm10xZOctKtkEzRlFdyUi9nnClYEHSYoZ4hsxvPxsnMiVWXV7EiYAWP4h8xvcF0DF5alc6zVAm2fFGP3r+exf/hUz5bdZatrax4o6/WZu9YieWS1q1bF3QIeeJ2zG3GHR/HrSe3AOjl3ouRtUZipPeaLxE5tP/KY4ZsvIgCNfWU17EjhnCK4xvrRszls+w0WIyFIhG1hRPK7pvBsUaunl8QhMLBQGnApHqTcLNyY+bZmRy8d5Dg2GB+bv4zLubPVkuu3BE+/RX+GCA/7VUooP1ireSbg6Ux6/rX5dNlpzl/7wkjt/qxpKdnoZ1YXyfakGu74Pc+qJC4aGxEhJ4etioVFVNS+NrelgvGhpjom/Bz85+p71j/rU+TrlLz68m7LDh0k+Q0NcYGSka3qkj/hmW1V0EXBEEoANHJ2Y3IeeFo0G2a/3iMkd4V6V2/NAZZ1V8lSsu93y6shX+nwP0zsKwBtPwOvAa/cw8lnWhfiogFp7ez5vqPoJeIpDagbcnBzG098N0WUAgPhP/mwtWdwLM+WhU/gKbjwKlWxvKVO4Dbh/KosPgw+V65dAPR0+0VosfbK8TTpKJjx80dfO/zPSpJRV2HuixovgALQ+1/0xuhcfRcfZbI+BQq2pqwTxqKXnwomkomM9W6g/dUecy6kGskSWL7ze3MPTeXFFUKVsZWfN/we5o4N8n1c6nUEo3mHKFa3HGmGvyGoyJas++pZIoZiegpQHKui6L7JjDLuFKukH90uV7W5djfR37hfow8OpKo5CgsjSz5semP1CtZ70WBKztgx0D5ya9nX/hoYYaebz53oujzqy+pKjV965dmykeVORf8RKxymVNqFSz04FD6E2ZblyBM/8WzYn1JIl2hwEwtsfSDddR0qP3Wp7kS8pRv/wzgSkgsAA3LW/O/zlUpbV3snS9BKHx0uU7W5diFd3Mu9Bz9D/R/bTmb+MHcfVAGgPJ2Znz3UWWaVHzNatsx9+WVT+8ck1+7eMm932wqvFvQQp6KToql71+TCE49BoBBemnmN5tLM9fKb3/Q0CtwfK7cy/85t4+gyTjRASELYnGFdyAataLlVMgpRh8bTWJ6Iq6WrizxXoKTmfako3ci4um5+iyPnybTy9Kf71PmIiFpTYCo5pXR6/om0OAraPg1GJnlz8UUYTHJMUw9PZUjD44A0MCxAbMazcLGJG/m0zlzO4p1vy5imcFCADK7Bz6pqoJ+7z+oV1EkWAuaLtfLuhz7+yo0IZRRR0dxJeoKego9xtYeS0/3ni+mLAjYDju/lJNvtfvDh/MzTLrzT8AjvtpyCUkCc2N94pLTNftKWhoztX1l2nqUzM/L0j13T3BoexdG29nIj8JendhIkhgdHcPnnbe81WppyWkqFhy6yeoTd1GpJSxNDJj0oTtdajlnmJ5CKDp0uU7W5diFd6NSq2izow3hieFI2XQOKKZvRp0Sn3DyohtP4uV6zNvdnskfulPGJpuHCZIEF9fDgcmQGgf6xtBiMtQbKnotFaDU9HQ2+x/jfmwopSwc6FG9GYb6+uy96cPEkxNR6UUgSQrcjDuyrvMkzIyM3+5EjwPgvzlw/Z8X29w7QNNvwCGXVkItokTi7R2IRq3ouRF9g6GHhxKeGI61sTVLWi6hik0VrTIPohPpsdqHB9FJtFH6ZugF9UiyZkZab/q2bUD9oAVyl2yQu9K2mCzP+ZPPDdPMmTMBmDx5cr6eN7edfXyWiScmEp4Ujr5Sn5GeI+lduTdKRd4N7/njfDANdjfHgehMk26SBI+x4lyn/+hYs1SexSG8GV2ul3U59vdZiiqF6aens/vObgA6uHbgu/rfvRjy7r8Ndg4CJKgzENr9mCExNHa7P39ceJjh2M9LLevlWaDJt8Lehqj8t9Hm/DTC9PQyJt0AJAkHlYr9daajV61rjo59OiiSCTsvcy8qEYAPq5VkavvK2Jm/5U2LoDN0uU7W5diFd3fo3iFGHxsNoJV8U6BAQqJksZI8TpBXYbYytqa0siOnL7mSrtbDUE9J/0ZlGd6iPGZG2cw0FfPgWe+3o/Jr5zrQcSnYVsxRrIW9fdEF805sZ8OtRUh6MZptCpUlJY0qE5J2FoVCDekl+Krqd3xZ1/vtTvLokjyk9Mbe52eAKp3kOdzs36Hn3HtEJN7egWjUiqbQhFCGHR7GzSc3MdE3YV6TeTR1aapV5uGTRJrOO4ZKLaFETd2X5/1SuyGhxMHSmJPfNEfvxm44OBWe3JXfbO8BrWeC67tN7JwTuj5xaZo6jSWXlrDmyhokJMpYlGFuk7m4W7vn2TkfRCey6ex9bpzdy1qmv7b81VabqdLwwzyLR3gzulwv63Ls7ztJkthwbQM/XfgJtaSmqk1VFjZfiJ3ps6HnfpvlVU6RoO4g+GCOJkH0fDj7ywu3vEyBPCfcyfEtCmzYaaFtQyQJgg5z7vAE+ptk/vm9bE21kdSp+QYLIwFPE9OYtfcav5+XE6IOFsZ838mDVpULx9ytQt7T5TpZl2MXcsehe4eY7TubsMQwzTYHUwfG1x1Pi1It2Hd3H79c+oWH8XIdZ2/iiHFCO67cKAcosTU3YnxbNz6u6YQyq7ZHkuDib3Bgktz7Tc8IWkyC+sPfuJNBoW1fdMS8E9tZf3sGoP3c6eVVbYur67K+/WzK2bxmKHFmHl6Qe7jdOvBsg0JeQK7JOLBze7fg3zMi8fYORKNWdMWnxjPmvzGcfnQapULJhLoT6O7WXbP/zO0oPlvl89rjbPmiHvVdrSE9BXxXyWPhk5/KOyu0hlbf50ulFR0t98izsrLK83PltgexD/jm+DdciboCwCcVPuGbOt9oryKYS9RqiRNBkWw4E8zh6+EgqflGfytD9P95/Xs/Xo2yWpdcj0nIGV2ul3U5dkF2+tFpxv03jtjUWGxMbFjQbAE17GrIOy9ukFeGA3lITpv/gUKR8/akABS6NkStlp+6H59HUqg/P1iVYKfF66dymNPoB9q5fpRtGUmS2HcllO/+vkpkfAoAveuV5pu2lTA3Nsj2vULRost1si7HLuQelVrFxfCLRCRGYGtqi6edJ3ovJcTSVGn8eetPlgcsJzJJXpShpElZ4h978+hxOUBBdZfiTGtfmZqlSmR9opgHsPtruH1Yfu1UGzotBdtKr42x0LUvOiQ1PZ3avzVHrYzJqrM3CrUp53qdxNgwh+3Xg3Pw32wIOiS/ViihahdoPDbHvRoFmVjVVBAyYWZoxi8tf2Gmz0z+vPUns87OIiQ+hFG1RqFUKAmPe/2TdeBFOX0jaDAcavSQu+meWwW3/oWgw1CrHzSbAGZv8RTiDRX2xiyzLwZKhZJ/7vzDTJ+ZJKYnYm5ozrT602hdJvdXP3qamMb2Cw/Y6HOP4KhEzEmkn95/fGlyhJLpIW90DKW5Q67HJQiCbmng2ICtH25lxNERBMUE0f9Af6bUm0LnCp3Bs7c819vuEeCzVP4S23rmG7cnYbFvVi4vFJo2RK2SV047/iOR0TfYYm7O7y5OxLzhaqK2xbLvrRb6NJkpf1/h4DW5h4irbTHmfFKN2mUKyfULgiDkgJ5SjzoOdbLcb6BnQDe3brR3bc/m65tZc2UNj5PuQvFVVLB34/Hd5vg/gM5LT/NxTSfGf+CGvUUmw+yLu0CvHXBpIxyYCCHnYXljaD5R7v2ml3UaodC0Lzpos/8xJL0YsuoLr1AAeolsvfwf/Wq94RDT+z5wbPaLIcQKPajWDZqMBWvX3AhbeAMi8Sa8VwyUBkyrPw0nMycWX1rMuqvrCIkP4X+N/vfGc7s8SUhFkqQXky+bWsEHs+V5fg5NlSemPP8rXN4OjUeD1xAwyP15Y4KCggAoX758rh/7XWXWFd7OxA5nc2cuhl8EwNPOk9mNZ1PSLHfnOLoS8pQNZ+7xt38IyWlqXBUhzDY+SGflSYzUiZAOGFoAKqTUhEwbNgkFCgtHeSlsQRDeey4WLmxst5FJJydx+P5hvjv9HYHRgYyrMw6DWn1BUsE/o+DML6DUw67siDc67g/7AomIS6FLbWeKmxrm8VVoK/A2RJUGAdvgxHxuxt1ng6U5e1ycSHvWtjoWcyQuNY64tLhM364A7E0d8LTzzHS/Wi2x2fc+c/ZdJy4lHQM9BUOalWdYc1eM9MVk4YIgFG2mBqYMrDqQLhW7sPbKWjYFbiI05ToKx+uUda7GvaCm/HkJ9l8NZXiL8vRvWBZjg1fqRoVCfsDk2kJ+wBR0SL7XCdwlz/2WxQifAm9fdJQkSZx8+Pre8gD3Y0NfXyj4pDyk9O5x+bVSH6p3h8ZjwKrcO0QqvA0x1PQVohv3++OfO/8w5dQU0tXp1LCtwYJmP9P+50uEPk3OZr0gWSV7c3rWK0Wnmk5YvDpMJfik/GTosb/82rIUeE+Vx87n4kpphXX+hOeTv2a16pISJUNqDOGLql9odY1/FynpKvZefsyGM/e4eD8GJWqaKy8x1PQwtdL9XhS0dYO6X8pPeW4fgd/7IAGKl2KVUMjJuK6/QeUOuRKf8G50uV7W5diFjNSSmhUBK1jqtxSAOg51+KnpT5QwLiFPPbB3rFyu4WganmtIaGxKlu2JAjT7jA2UdKzuRO/6pfFwsszz64ACbEPSksFvI9LJnzmVGs5vluacMTHR7K5uW52+VfrS3KU5xx4cy3IycYD5zebjXTrjE/+g8Hgm/BnAueAnANRwKc6cT6pRycE8Dy9M0AW6XCfrcuxCwYtIjGBFwAp23NxBuiSvtG2WXpvQ4GZIaTaUsjJl8ofutKpsn/nKzpIEfptg/0RIeQp6hvLongYjMvR+K6z3KIXVzah7/OyzlTPhB0hTRrzRe8Z4LMi8x5skQfAJODYH7p2Utyn15YUAG4+GEmVyL3BBzPH2LkSj9n45F3qOr49+TVxqHKXMS9G91HS++yMMUKM0vYtCPw4p3Rx1YlkklDR0tebi/RiS0lQAmBrq0bGGIz29XrlZUqvh8u9waDrEPZK3OdWW5/8p5ZUrsS9ZsgSAYcOG5crxcsPz5c5f7un2KitjK450OZIrSbeQmCQ2+dxj27kHRCWkYkE8nxn8xxfGR7BJk1d2QqGEih+A15dQtql28vPaLtg/HmIfvdhm4QRtZ4ukWyGiy/WyLscuZO3w/cNMPDGRxPREHIs5sqjFIipZVYKzK2HfOACC3IbQyq8R2qn9F6uaLuxeg6RUFevP3CPwcaxmf63SJehTvzQfeJTEUD/vVnfO9zYkNQHOryXl9GL2EMdvlubcNpR7+SkVSrxLedO7cu8X8+c9k91k4q8m3VLT1az47zaLjwSRqlJjaqjHN20q0bt+mQJbxEIoXHS5Ttbl2IXC40HsA5b4L2Hvnb1ISChRokzwIuZRM6R0SxpXsOG7jypTwT6LBxVPQ+CfkfL0OgCOnvLcb3bPFkdTq1jy/VhIjWPYwL7y6JFcetBelMSnJLD0/F/svr2LGOmaZrukMpC/KCjSspzjTakqzvm+RzHU19feceeY3MPt/hl5m9JA7rHYaBQUL5Wn1/O+Eom3dyAatffPnZg7DD08lJD4EIobFaeedWcOPNj5yvLNxeldYQTjGnfhaVIaf10KYaPPPW6Fx2vKVHcpTi+vUnxUzRETw2cNTGoinFkCJxdAWoK8rXIn8J4GVmXz7Rrzy7nQc/Q/0P+15da0WZPt/BTZUaslTt2O5Lcz9zgcGIZagoqKBww1OcSHnMBA/WzOJOPi4NlHHgJconQ2B1TBvdMQHwZm9uILQiGky/WyLscuZC/oSRAjjo7gQdwDTPRN+L7h97Qp0wZ8lsH+b+Uy7sPoe7sZLvH+mlWyH5hVZ0qHqrT1kIfZS5LEhXtP+O3MPfZefky6Wv5aZmNmyGd1S9HDqxQlLU2yjKPQS34KvquIPruUbQZpbLUwJ1pPrmNN9U35uMLH9HTvibO5c5aHeN1k4gCX7j/h2x2XuREmD01tVsmWWZ2r4lRchz87Idfpcp2sy7ELhc+N6BssvrSY/x7+B4AeBqRENyApsgl6khm965VmlHdFLE0zmcBfksB/C+z79kXvt6bjwcoV/p34ygNtR2g7RzzQRu41v+v6SdYGbOdO4hlQyov9SJICo7SKNC75AV/X/5g/rh3KclVTgL6u3zGucZcXG28flnu4PfSVt+kZgmdfaDQSLLNuW4V3JxJv70A0au+nyKRIhh8eztWozLtEZzasRZIkzgU/YaPPPfZdeUyaSv6vZGGsz6e1XOjhVYryds9WZIsLhaOz5AlKJbVcIXoNkleRMSme59eX1+JS4zj7+Cxbrm/BN9T3teXnNJ5Du3LtcnSOp0lp/HHhIZt87nEnMgE9VHgrLzLC7DBVUgNeFLSrIvduq9oVDHN/lVQh/+lyvazLsQuv9zTlKeP+G8eZx/LT5S+qfsHwmsNRnlkK/04CQDIyR5HyYp4yycIRRRY3IeFxyWz1fcCms/cIi5W/kOspFbRyt6dPg9LUL2ed+RCgwighCs4u486F1fxmrGC3WTFSn/U6czC1p6d7Lz6p+Anmhu82/DMhJZ0f/73ButPBSBJYFTNkavvKdKjuqDuflZBvdLlO1uXYhcLrUvglFl5YqJmDWQ8TEsMbkRrdiBImZoxuXYkedUtl3ms49hHsHgm3DmRzhmfve4+ncLkafpdFvlvxjThAujLqxY40a9zNWjDIsystKlTSarPmndjOhps/I+k/1WxTpBend0W5IwiSBLcOyj3cQs7LBfSN5QX+Gn4tJzyFPCcSb+9ANGrvr7iUOJpvb06KKiXT/QoU2Jvas/+T/RmetEfGp7D9/EM2+97jQXSSZnv9ctb0rFeK1pUd5CFDoVfg38kvVpUxsZLnR6j9OejlbEnofv36AbBu3bocvS83SJLEjSc3OBlykpMhJ/EP99fMF/EmctLj7eqjp2z0ucdflx6RlKaiOHH0NfqPz40OUzz12dAjhR64fSgnM0s3zNW59ISCp8v1si7HLryZdHU6Cy8sZP219QA0dW7KD41/wPyfsRCwNZN3vP4mJE2l5uC1MH47E4zPnWjN9gp2ZvSuX5qPPZ0xM3q39bHyrA2JC0M6vYizlzfwWzFDTpi+6HFWxaoyfT364V3aGwPlm7d5KrWE791owuOSsTM3pm5ZK/SUCo7dCGfSziuExMjt7seeTkz+sDJWxfJ3oQpBd+hynazLsQuFmyRJnAw5yc8Xf+bGkxsAKNXmJIY3Iy3GCzf7EkxtX4X6rtaZvVnu/fbXUJ7PXNrvL7lOXtfpef2vkBNBIy+/N6NKnibHs8R3J3vu7iKW65rtksoIOz0vulTszOe1m2FskEVbfm0X6fvHcyk1igg9PWxVKmoaWqPfdrbcgeO/OfDoklxW3wRq94eGI8DcIR+uTnhOJN7egWjU3l+5MUxSrZY4fiuCjT73OXJdHgYJYGNmRLc6znxWtxTOxU3kVYH+nQwRzypi6wrQagZU+uCNk0aNGjUC4OTJk29U/l09TXnKmUdnOBlyklOPThGZFKm1v4xFGeo71mff3X3EpMRkeozskpcvS01Xs+/KY347c48L9+TJsSsrghlhdhRv1XH01c+SoyZW8pOdOgNEV+oiTJfrZV2OXciZ3bd3M+30NFLVqZSxKMOie0GUjXmECrhobKT54uyZnIJeDm5CboTGscEnmD8vhpCYKs8vamakz8eeTvSpX5rydm/XYyzX25CYB6SdWsjeG9v5zcyEm0Zy8kuBguYuzehTpS+edp457oW2/8pjpu++xuOnyZptduZGlLE2xffZ4gnOJUz4X+eqNKlomzvXIhRZulwn63Lsgm5QS2oOBB9g8aXFPIh7IG9MsyIpoiXpT2vSrqojE9u541zilREld0/A+o80LxutkafXOdm/mHa5vv9A2cZ5eQkFSqVWsePqcX678gf3kn1AmQrIQ0mN0yvR3KkdX9f/GOfir1lE6dou+L0PvG65PwNT+R6owQgws8udixByRCTe3oFo1N5fe+/sZfyJ8a8t51rclZalWlLdtjpVbarKq9ll4lFMElt977P13APC4+REkUIBzSvZ0ateKZqWt0LPbwMcmQWJz5JYZRpDm1lQsnquXdfbUktqrkVd40TICU6FnOJy5GXUklqz30TfBC8HLxo6NaShU0NczF2AF6uaQs5WoQP5M9t89j5bz90nMj4VfdL5QO8CX1scoXzS5RcFHarJvds8PgEDMX9PUafL9bIuxy7k3NXIq4w4OoLwxHDM1Go+exrHLvNihL00AbJ9ejrfRj3BOzEJWs+Cmr3eaMqB2OQ0/rzwkN987nEnIkGzvYGrNX3ql8bb3R59vbxbjCFLUbd5enwuv9/bzxZzUyKeXauJ0pCOFT6md+XelLJ4u0md9195zJCNF7NdGXZAo7KMbl0RU8N36wEovB90uU7W5dgF3ZKmTmPnrZ0s919ORJK8yqY6xZ6U8NboJXswqIkrg5u5vqh3L/8BOwa8/sAWLlChJTjVkheds61UJHrA+YUGsfjsNi5EHUSl92IoqSLNFg+Llgyp05XGZSu82cHUKljooT1PXgYKaPDVs4SbeOBUkETi7R2IRu399aY93l5V2qI01WyqUd22OtVsq1GhRAX0lS9uANJUag5dC2Pj2XucCnpRGTsVN6GHVym6VrXE1m+pvAiDKgVQQI0e0GJyvo/Pj06O5lTIKU49OsXpkNM8SXmitb988fI0dGxII+dGeNp5YqiX+XCenKxCJ0kSp4Ki+O1MMIeeLZZgzVMGFjtOL73DmKeGywWV+uDeQU64uXiJ4aTvEV2ul3U5duHtRCZFMmpPH/wSHryYCfml+krxbNv88Eg5+QbyhNSONV/8KVkNjDLvyZZZnQlQ0tKYnl6l6F63FDZmRnl2fRrh17n330w2hJ5il5kpSUo56WdnaMlnVfrRpVIXLI1e81Q/Gyq1RKM5R7R6ur3KxsyQsxO9xYqlwhvT5TpZl2MXdFNSehJbrm/h18u/Epsqr76tSixFSkQb7AyqMKGdO+2rlUQRfFKrx9sbMzQHxxrgXFtOxDnVAouSuXsReSQqMZbFZ3dw4N4/xCtuarZLKmNK6nvR3f1j+tRsioH+GyYWVenw5C5c/ROO/u/15Yt470FdIRJv70A0au8vlVpFmx1tCE8M1+qp9ZwCBVbGVgyuPpjLkZcJiAggODY4QzkTfROqWFehmu2LZJyNiQ0AdyLi2Xz2PtsvPORpUhoA+koFbTwc6F9FH8+gRSgub5cPZGD64mmGkVmG8xw4IE9k2qZNm7e+5nR1Olcir2jmarsWdU3r2osZFKN+yfpyrzbHhpQ0e/PGMDU9nc3+x7gfG0opCwd6VG+mtex1bHIaOy48ZMNLvTeqKu4wrvgxGqb8h5467VkQtlDrc3kePDFR6HtJl+tlXY5deHtJQYdoeuJrTTLqVQpJwl6lYn90OnoJ4ZmVAJuK2sk4h6oZFowJiUlik889tp57QHSCPKTFQE/Bh1VL0rt+GTxLFc9yaOfbtiHSIz8u/Ded9U8C+M/UBOnZ8d3MXOhTYwhty7TFIIdzlqar1Dx8ksSdyHhuhydwJzKeS/diuB4W99r3bvmiXubzDglCJnS5Ttbl2AXdFpsay7or69gQuIHkdPlhSHp8BVIi2uBpX5VpH7nhsb0hxD5GhcSS+wqeKpW0La//YnoFc3toMwceX4SHF+T5ydISMp7MwklOwD1PxjnWAMNiGcsVAJVaxZbLR9l09U8epviAUr5XkSQFpip3vF0+ZGT9ztiZZzMFRHoqRN+WpxuKuPHiZ1QQqFLfPJhPfoWqn77jFQnvSiTe3oFo1N5vOR0mGZMcIyfhIgPwD/fncuRl4tPiMxzXycxJk4irblud0mbl+fdqJJvO3uPi/RhNOVfbYnztFku7R7+gH3JW3mjmIPd+q9HjRXdstYoqbuVBnc7Vg5uhdIM37qodkRihmaftzKMzmidYz7lZucm92pwaUd2ueo4mwH4uszl5SloaM7V9ZUpbF+O3M/f461IISWkqDEins+E5vjI7gkviS6vKOnqC12Co0gn086H3hlBo6XK9rMuxC2/v3CMf+h/84rXlptebRiv72phH3pJvQh75yT9jQzIWVijB1v1ZIq6G/NPeAwyMSU5TsfeyPC+m34MYzVuqOFrQt34ZOtRwxNhAu42oUqUKAFevZr6a96vS7p3m3+PT+C0pmGtGL+rkJjY16Ov5FXUc6rx2/ranSWnciYjnTkQCt1/6eS8qkVSVOtv3ZuXn7jXoWMPprd4rvH90uU7W5diFoiEyKZIV/iv449YfpKvlRdXSYquSGtma6aXjcIj8H3Osi3Pyu7sAVPhfBezT0xkfFUOrj1ZoLyikVkF4IIRckFflfHgBIgJBeqUtUOiBXWVwrlVgQ1TPh9ziF98tXHpyCLXei9FAijQ7apTwZlidbniVKqf9prRkiLr1UnLteYLtNkiqzE9kYArmJeXE3OuIHm+Fgki8vQPRqAk5GSb5KrWk5u7Tu/hH+BMQEYB/hD+3Y25n6EFnqDSksnVlqttWx0q/AlfuFOeAfxIJzybONjZQMLHMLbrFrMYo7r78Jvuq0GYmJMeSvn88S6881jxNkle5mZPpCnlp6jT8wv04FXKKkyEnNasVPWduaE4DxwY0cmpEQ8eG2Jq+21wBz+fkUaCmrvI6dsQQTnF81W6oedH7w5YYhlueoIt0ENPUZ3PcKQ2gSmd5OKlz7XeKQyg6dLle1uXYhbf3pnOGPlfMoBgOpg44mDngYOpASQMLHFKSKBkfiUNUMPaPr2IUH5bxjUp9sHPX6hl3Oc2J9b6P2eX/iNR0+QbG0sSArrWd6VWvNKWt5Z4Dz3u8NW/ejL/+W0F47H3sLErRqekgDA2fJdYkidigA+w4/T82pUdo5qozQkEHl5b0qvUV5Sy1bzZUaomQJ0ncjoh/9ieBO89+RsZnvmo4gJG+krI2xXC1M8PVphhqSeKXo6+/+RA93oSc0OU6WZdjF4qWB3EPWOq3lD139iAhIUlK0hPLYmB6G5CIuyJ3QjCvav5sygUFfVy/Y1zjLtkfOCVefvgUch4enpeTcnGPM5Z7dYiqc+0creaZmpqSdbv3THhCDD+f2cHhB3tIUN7SbJdUxjgbNqBH5U/oUb0R+qokiLyp3Xst4jo8Cc6YRHw5fttKYOum/dPSBZCezfH2mMwXV3j/VogtzAp14i05OZmRI0dy4MABHB0dWbBgAXXr1s1x2bfd9zqiURNA7kp8MfwiEYkR2Jra4mnnme0qnNmJS43jSuQVTTIuIDKApylPM5SzM7GnhF55Hofb8zjcHnWyI4YSfGN1nD6pv2OYLg+5OWhqwhzrEhkm6375aVJoQqhm+KjPYx8SXurKrUBBFesqNHSSe7V52HhozUn3LlRqiYazj1A9/jhTDX7DURGt2fdIsmJ6Wh/CpRJMsD5O7cTjKJ8PJzVzkJfBrtVP7oouCC9523rZ19eXMWPG8ODBA1q3bs2iRYswNjbOcdmcHCe3Yhd025vOGVrMoJhW/ZwdK6PiOOgXo6RagUNyPA6xYTgkxeGQnk7JdBU2KhV6AHqGYF+FFNvqnEkuxbrg4px8akM6+igU0KyiLX0alKFpBVtW757Mlsi/iNR/8VDEJl3NZ9adaFfOg43nF/KnIl4zZNZKYcBnFT6lW80h6GOWoefanYgE7kYlaBJ+mbG3MKKcjRmudsWe/TSjnE0xnIqboHxprrbnc7yFPk3O6tYDB0tjTo5vIeZ4E97Yu9TJs2bNYv369ZiamjJp0iS6dMk6iZBd2ZwcJ7diF4S8cPPJTRZfXMyxh8cAOceWWcdnSQKFqjg7PvoHq2LGmBvrY/Smc5/FPnqWhDufK0NUV/49KfN2z6YT/T+awQa/w2wN/JOQNF8ULw0ltVRXoqNNTb60t6P40+AXCbaY+1nHbmwp91R/Nclm4Zj9XNWaVU1BO/n27D1df8u0s4WQ/wp14m3KlCmcOHGCJUuWcPz4cWbOnElwcDAGBhmHs2VX9m33vY5o1IS8JkkS92LvERAZoOkVd/PJTa0VQwEU6KFKdiQ90QWjJDsGqa5QwegMY+1s5Cr45Qr72X/jxskqHtmW5Xb8A61jWRmXoIGjvPpoA8cGWBlbaWJJSVeTmKoiISWdhNR0+WfK89eZb09MVWlvS5V/xial0VzyYZnBQgCUGUPUbmec68q929w7gH7mCzUIwtvUy2lpaZQpU4ZvvvmGVq1aMXLkSOrWrcvMmTNzVDYnx8mt2AXd9yZzhtqb2rP/k/2kqFIISwzjccJjwhLkn6EJoYQmhMrbEsNISk967Tn1Adt0NSXTU7FPV1EyPR2HdBUOKhV2aiUpuOAf78IVtSsBUjkcrS5wyfZ0lu2JAjTzt5WhGB7FP0FStSA4MpU7EQma1bozY6ivpJxNMcrZFsPV1kzzs6xNMcyN33z6guc9qCHTWw+W9fKkrYduTMQtFA5vWyfv2LGDcePGsW3bNsLCwujVqxd+fn6UKVMmR2Vzcpzcil0Q8tr/Tqxiy51Fry2XGu2FOtUBSW2AvsIQY31jTPSNMNU3oZihCWZGxpgbmmJuZIqlkSmWJqYUNzHGzEhf/mOsj4WhkhIJt7GIDsAk/BL6jy6+8RDVlWc28kvMrizbPQO1EWl6L+ZZs04zon2aIZ8lPcExu1VGTW0y9l6zdQMzu7dfDO7aLtg/Xnt1UwsnaDtbJN0KkUKdeCtTpgwbN26kUaNGANSqVYsZM2bw4Ycf5qjs2+57HdGoCQUhMS2Rq1FXtYaoRidHZyinlCTUAAoFd2bdAaDcpHKZlquWkkrDpCQaJybjnppKOgakKQxIxYBUSZ8U9ElR65OCAanov7T95dcv/f3ZzxRJ+3XqS6/T0ONHgxVYEZdlOyNJ8MClI6XajZKHRgnCa7xNvbx//37Gjh3LlStXADh37hwff/wxDx48yFHZnBwnt2IXioaczhmaFUmSeJrylNDEF8k4TVLuWaIuPDEcVVZzxrzERK3GPl2FvSqdbT89Qq1QZNqGPFcqoRiPoz4iOqEGL9JdL9iaG1Hu2fDQcpphomY4lTDJtV5o2c0ZKpJuQk69bZ3cqVMnvL29GT58OAADBgygXLlyTJo0KUdlc3Kc3IpdEPLajKMb2X5/juZ1dvcoOSVJSlAbIEkGoNZHkgyfvdYHtQEKDDFS6GGjSMGOBBzUT3FQRVNclYiRJGH87I+BWs3/bKyIUSqzTYaZqdR8mJBAh/gEqqakard8Zg6ZDxEtZvPO15kptQrunYb4MDCzz9Gc3kL+yEm9nDvjy96QSqXiwYMHuLu7a7a5u7sTHByco7Jvuy8zKSkppKS8eGobGxubaTlByEumBqbUcahDHYc6gHyjFRIfoknC+UcEcC3qKuqXan9Du8x7iA2MjqVnbDw2UrrWdkPSMJTS0Op0nfmCe3lKoYA4924i6Sbkqbt372ZoB0JCQkhLS8vQ+zm7sjk5Dog2RXjBu7Q385vNzzBnqL2p/RvNGfqcQqGguHFxihsXx83KLdMyKrWKyKRIOSmXGEpofOiLRF38Y0LjQ4hOfUqSUkmwoZJgDNC3f/2iNcqohsQn16KivWnG4aG2xbDIQe+1t9XWoyStKjvgezea8Lhk7MyNqVvWSgwvFfJVZm3BjRs3clw2J8cR7YmgK0pZaM+vltU9irtlLZwsS5CQlkxiWhKJackkpyeTrEomRZVCmlr+ky696HWmUKhBLwUFWfeyTgdCn/0JkCN49ifnfoyIoKGBLTh7vpJgqwgmJd7qmG9NqScWUChC8j3xJkkSenovMrX6+vqkpaXlqOzb7svMDz/8wPTp03Pj8gQh1ygUCpzNnXE2d6ZduXYAzPv7O36L2akp4/yFc6bv9TP6hLBqn2NmAOYGEhb6EuYGKsz0VRTTU1NML51i+mpMFOmY6KVjrFRhTDp66lR5Gev0lJd+psjLXmv9TMmknPxTig9Fkd1cB8+4myfmzgclCFlIT0/P0A5IkkR6enqGhFl2ZXNyHBBtiqDNu7Q3zV2a59qcoVnRU+phX8we+2JZz5GZokohLCGM0IRQNvw3n2OvX3SVphVU/NW1bYEnufSUCrGAglCgMmsLsrq3yK5sTo4j2hNBV/So3oz5/sVRK2NQKDLeo0gSKFXF2fjRagz1X59+kCSJFFUKKaoUktPlpFxSepLWtsS0JGJTEnmanERcSiKxKYnEp8rJvMS0JBLTnyX10lNIVSeTmhJMrH7ca8/tX7Y7Dbu+ftisIORUvibeDA0NsbGxITg4mBo1agAQHBzMRx99lKOyb7svMxMmTGD06NGa17Gxsbi4uOTaNQtCbrF1agQvJd6y0rRuW/rVrpoPEWWkuHsC1mf+f+1lyhysPCQIb8PJyUmrp3NwcDDW1taYmJjkqGxOjgOiTREy0lPqaXozFyQjPSNKWZSilEUpgq0bcOzR1de+p5R1uQJPuglCYZBZW+DsnPkD0OzK5uQ4oj0RdIWhvj69K4xg/e0ZGRZYeD6pVe+KI94o6QZyBwRjfWOM9Y2xNLLMlRh/P7iI7x+tem05mxLlc+V8gvCqfB9o1qlTJxYsWIBKpeLMmTP4+fnRqlWrHJd9232vMjIywsLCQuuPIBRGPWq0wDjdBMWzFizqUBRRh6I0+xWShHG6KT1qtCioEOW5BywckTKZCwiQt1s4yeUEIQ95e3sTGBjIf//9h0qlYv78+Xz88cc5LpuT44BoUwTd0KnpIFL+jST6UGSm+xWShG26mk5NB+VzZIJQOHXq1Illy5YRHx/P/fv32bZtW5ZtQXZlc3Ic0Z4IumRc4y70df0Opbq41j2KUlWcvq7fMa7xm63em1c6NR2ETbpacx/1KtHuCXkt3xNv06ZNIzAwEDMzM9q2bcsvv/yCpaWcyR4zZgyzZs16o7Jvu08QdJWhvj5dK46Tk1eSRPSRaKKPPFuAQZKQUNC14tg3fpqUJ5R60HaOvBreK8k36fmU4m1ni4lBhTxnYWHB0qVL6dixI2ZmZly6dIlp06YB8lQGDg4OmgUSsiub3T5B0FWGhkbEn0gn6siTDDchz193t+mEoeHr54EThPdB//79cXZ2xsbGhkqVKjFgwAA8PT0BWLt2LT169HijstntEwRdN65xF873OYritCHpJ5SM8VjA+b5HCzzpBnK795lNJwDR7gkFIt9XNX0uJiYGMzMz9F9KEsTGxqJUKjEzM3tt2XfdlxWxYpBQ2M07sZ0NN38mOSocACN7IxTpxeldcUShaNgAsQS2kKvepV5OT08nPj6e4sWLa20PDQ3F1tZWa66drMq+bl9exS4IeSkoKIith37isMFxIvVfPIe1TVfT3aYTX3aclc27BUE3vWudHB8fj76+PsbGxpptiYmJpKSkUKJEideWfZN9eRW7IOSXoKAgAMqXL3zDNlf+PYktkX+Jdk/IFTmplwss8VZYiUZN0AWp6els9j/G/dhQSlk40KN6s4Lt6ZYZsQS2kEt0uV7W5diF90Nqagp//beC8Nj72FmUolPTQeKJv1Bk6XKdrMuxC0JhIto9IbfkpF4uZHfqgiC8CUN9fTqUlYcmWFlZFXA0WRBLYAuCIBRa0dHyVAVWVlZ0bTWigKMRBEEQioqX25fCyNDQSLR7Qr4TiTdB0FGNG8tJratXX78ynSAIgiC8TLQhgiAIQl4Q7YsgZCQSb4Kgoz777LOCDkEQBEHQUaINEQRBEPKCaF8EISMxx9srxPwJgiAIhYsu18u6HLsgCEJRo8t1si7HLgiCUBTlpF5WZrtXEARBEARBEARBEARBEIS3IhJvgqCjRo0axahRowo6DEEQBEEHiTZEEARByAuifRGEjMQcb694PvI2Nja2gCMRhOzt27cPgOnTpxdwJIKQt57Xx7o4M4JoU4TCSrQhwvtItCeCkPdE+yK8L3LSpojE2yvi4uIAcHFxKeBIBOHNWFpaFnQIgpAv4uLidO73PSoqChBtilB46dr/KUHIDbrYnoh7FEHX6Nr/MUF4W2/SpojFFV6hVqt59OgR5ubmKBSKDPtjY2NxcXHhwYMHRWpiU3FdukVcl24R1/VuJEkiLi4OR0dHlErdmiEhJiaGEiVKcP/+/ff2C2hR/f3PKfE5iM8AxGcABfsZ6HJ7ktk9SlH4fdL1axDxFzxdvwYRf8F722vISZsiery9QqlU4uzs/NpyFhYWOvuLlR1xXbpFXJduEdf19nQ1afW8Eba0tCyS//Y5UVR//3NKfA7iMwDxGUDBfQa63J5kdY9SFH6fdP0aRPwFT9evQcRf8N7mGt60TdGtRz2CIAiCIAiCIAiCIAiCoCNE4k0QBEEQBEEQBEEQBEEQ8oBIvOWQkZERU6dOxcjIqKBDyVXiunSLuC7dIq7r/SU+I/EZPCc+B/EZgPgMQHwGuakofJa6fg0i/oKn69cg4i94+XENYnEFQRAEQRAEQRAEQRAEQcgDosebIAiCIAiCIAiCIAiCIOQBkXgTBEEQBEEQBEEQBEEQhDygX9ABFFZJSUn4+/sDYGJiQvXq1TX7Hj16xP3797XKW1lZUbFixXyN8W1IksTZs2cBUCgUeHl5ZShz//59YmJiKFeuHGZmZvkd4lu7dOkSKSkpANSsWTPDGO2wsDBCQ0Nxd3fH0NCwIEJ8azExMYSEhFC+fPkM15WQkMDNmzcpW7YsxYsXL5gA31JiYiJ37tyhTJkyWr9rd+/eJSwsDICyZctib29fUCG+ldTUVG7evImzs3OGf5Ps9hV2arWaGzduYG1tjZ2dXYb9t27dwsDAgDJlyuR/cIVAcHAwoaGhAJQpUwYHB4dMy/n6+uLi4kLJkiXzM7x8ER0dzc2bN4GM7WJUVBS3bt3SvDYwMKBWrVr5HmNeS0tL48KFC0DW15iamkpgYCBJSUm4uLjg5OSU32HmOX9/f5KSkgCoXr06JiYmAKSkpHDp0qUM5evVq5ev8eWH17Vl8fHx3LlzhxIlSuDi4lIQIea5yMhIgoKCALCxsaF8+fJa+9PS0rh16xYWFhY4OzsXRIg6IyIigtu3bwNga2uLq6ur1v7U1FSCgoIK/WcZHByMJEmULVs2w75Hjx4RGRlJlSpV0NPTK4DoXi+r7+TXrl0jNjYWgMqVK2NhYVFQIWYrLS2NGzdu4OTkRIkSJd54X2Fy+/Zt9PX1KV26dIZ9Dx8+JCEhgfLlyxfa36GoqCjCw8NxdXXN9J40ISGBy5cvU6VKFczNzQsgwuw9v5dxcXHB0tJSs/3hw4c8fPhQ89rCwoLKlSsXRIivFRQUhJGRUaZtb3JyMoGBgaSkpOTufagkZOr27duSl5eXVLlyZalSpUpa+3777TfJy8tL88fKykr66quvCijSnElJSZG8vLwkT09PSU9PT2tfcnKy1LZtW8nOzk6qVq2aZGlpKW3fvr2AIs25Tp06SV5eXpKenp5069YtrX1DhgyRSpQoIXl4eEhOTk7S5cuXCyjKnElLS5O++uorydraWnJ3d5fs7OykQ4cOafYfPXpUsrKykipVqiRZWFhIO3bsKMBoc+Z///ufZG1tLXl4eEiWlpbSb7/9ptk3Z84cycvLS7K2tpYWL15cgFHm3Pr16yUHBwepSpUqkrm5uTRr1qw32lfYHThwQCpTpozk7u4uWVhYSF9++aWkVqslSZKkwMBAydPTU3Jzc5Ps7e2lhg0bSjExMQUccf778ccfJS8vL8nGxkZasGBBpmVWrVolGRsbS/Pmzcvf4PLJkSNHJC8vL6lcuXJSx44dtfZt2bJFsra21rSdbdq0KZgg81hUVJTk5eUlVa9eXbK2ts6wf//+/ZKdnZ1UoUIFycvLS1q7dm3+B5kPunXrJnl5eUkGBgZabe6DBw+0vkOVL19ecnR01NQnRUl2bdmmTZskS0tLqXr16pKNjY3UoUMHKTU1tYAizTv79++XvLy8pDJlykjdunXT2ufn5ye5uLhIbm5ukq2trTRkyJACilI3/PPPP5KXl5dUunRpqWfPnlr7Lly4IDk7O0vu7u6SjY2NNHz48AKKMmtBQUFSw4YNpTJlykglS5aU6tWrJ0VHR2v2T5w4UTI3N5fKlSsnVahQQQoJCSnAaDNKTU2Vhg4dqvlObm9vLx09elSzf8iQIZKXl5dkamoqHTx4sOACzcbGjRu1vodOnz79jfYVFteuXZPq1KkjlStXTrKzs5OaNm0qxcbGSpIkSdHR0VKHDh2kMmXKSGXLlpXKli0rBQYGFnDE2hITE6UBAwZINjY2UqVKlSQnJyfpzJkzGcoNHDhQMjIykk6cOFEAUWZv1apVkp2dneTh4SGZm5trfZ+dOnWq5OTkpGnfv/zyywKMNHN+fn5S9erVpfLly0s2NjZSmzZtpMTERM3+HTt2SFZWVpKbm5vk5eWVq7kQkXh7jRMnTmRIvL0sPT1dcnJyki5cuJCPUb27x48fZ0i8/ffff1Lp0qWllJQUSZIkac2aNVKDBg0KIrx3YmlpqZV4O3HihFSyZEnpyZMnkiTJFUa7du0KKLqciYmJkRYvXiypVCpJkiRp0aJFUrVq1TT7a9asKa1atUqSJEk6ePCg5OzsLKWlpRVIrDk1d+5cKSkpSZIkSdq7d69kbm6uuc7nunXrpnOJt8WLF2t+165duybp6+tLjx49eu2+wm7NmjXSgwcPJEmSpLCwMMnGxkY6fvy4JEny797169clSZLrxFq1akkbNmwosFgLWs+ePTNNvN27d09q0qSJ1KNHjyKbeHtu1apVmSbeXr3xLsoCAwMzJN5iY2MlW1tbnXpI8q7s7e2zfdg1bNgwacKECfkYUf7LrC2rWbOmtHXrVkmS5JsxBwcHydfXtyDCyxeLFy/O8P+/TZs2mgdQCQkJkru7u3T69OmCCE+nLFiwIEPirWXLltKcOXMkSZKk+Ph4qWLFioXu9+ngwYOaf9+0tDSpZcuW0owZMyRJkqRbt25JlpaW0v379yVJkqRBgwYVuuRhVFSUtGTJEs131fnz50uenp4ZylWvXr3QJt5++eUXKSoqSpIkSbpx44ZkYGCg+cyz21dY7NmzRzp//rwkSXJnkvr160vz58+XJEn+Xv1y54SBAwdKX3/9dUGEmaWQkBDp119/1TxomjFjhtSkSROtMvv27ZMGDhwoVapUqVAm3n7++Wfp6dOnkiRJkr+/v6RUKjW/N1OnTpWmTp1agNG93s6dO6WAgABJkuS2t3r16tLKlSslSZKk8PBwycLCIs/+/4o53t7Rvn37sLW1xdPTs6BDeWceHh4YGxuzZcsWjh07xq5du/jggw8KOqx3FhISQoUKFTTD+ry8vDhw4AAqlapgA3sDlpaWDB8+HKVS/q/q5uaGQqEAIDw8nCtXrtC7d28AvL29USqVXL58ucDizYlx48ZhbGwMyNdVVAwfPlzzu1auXDkMDAw0/2bZ7SvsPv/8c83QFTs7O6ysrDSxe3t7Y29vz5kzZ9i+fTtPnz6lTp06BRluoSNJEkOGDGHRokUYGBgUdDgFJjk5GT8/P8LDwws6lAKxe/duypYtS+vWrQkICCAhIaGgQypQycnJbN68mf79+xd0KPmuXbt27Ny5k2PHjrFp0yaKFy9OpUqVCjqsfBUSEqJpK0xNTalatSp79uwp4Kh008ufZbFixfDw8Ch0n6W3tzf169cHQF9fH1dXV833iH///ZeWLVtqhn0NGDCAvXv3FlismbGysmLo0KGZfifXFcOGDcPKygqQh78bGhpqriG7fYVFu3btNNM3GBoaUrZsWU2M7u7uNGnSBB8fH/bs2cOlS5do3rx5QYabgaOjI/3799fE/OrvUExMDNOnT+enn34qqBBfa8SIEZph1K6urujr62tdQ2xsLP7+/jx9+rSgQsxWp06dqFq1KiBPJ1a6dGlN/Nu3b6devXrUqVOHy5cva6bLyC1ijrd3tHr1agYOHFjQYeQKKysrevfuzbhx47C3t0elUvG///2voMN6Zw0bNuTLL79k0aJFVKlShcWLFyNJEmFhYTg6OhZ0eG8sKSmJyZMnM27cOAAeP36MjY2N1vwSjo6OPHr0iJo1axZUmDkmSRLjxo1jzJgxmi8zRcWUKVP45JNPMp3rK7t9hd3KlSuxsbGhQYMGmm1Xr15l1KhR3L17l48//jjTuVveZ8uXL8fLy0trvtD3jY2NDaGhoQwYMICbN2/SuXNn1q1bV+T+32fnzp07GBoaUrNmTYyNjQkJCeG3337jo48+KujQCsQff/xB9erVM8z79T7o2rUrXbp04auvviIsLIxx48YV2jmh8krr1q2ZNm0akiTx4MEDDh8+TLFixQo6LJ3UunVrvvvuO7777juCg4M5duwY1tbWBR1Wlvz8/Ni3bx8+Pj6A/J325bkun3+fLawSExP57rvvNN/JddHUqVNp3759pvMBZrevsDhz5gynTp3i559/1myLi4tj5MiRPHr0iAoVKmh9Ty1sYmNjmTFjBj/88INm28iRI5k2bZrOtAUTJkygT58+mvkAnZ2dWb16NYcPH+b27duMHTuWadOmFWyQ2Thy5AhXrlxhw4YNgPwdLT09nZo1a2JqakpYWBi///57riVw359vu3kgNDSUw4cP06NHj4IOJVf8888/bNq0ieDgYC5fvszkyZPp0qVLQYf1zpydndm/fz8nT55k9uzZ9OrVC7VarTUZZGGXmJhIx44d6dy5Mz179gTkLH1ycrJWueTkZJ360qpWqxkwYABWVlZ89913BR1Orpo5cyYBAQGsXr06R/sKu40bN7JixQp27dqllTBp2LAhvr6+PHz4kBs3brB06dICjLJwCQkJYf78+TRv3hwfHx8iIiK4f/8+d+/eLejQ8pW3tzc+Pj5cuHCB+/fv4+vry44dOwo6rHxlZGREYGAgp0+f5vLlyyxdupSvv/66oMMqMKtXr2bAgAEFHUaB+Pjjj5kzZw6XL1/m9u3bLF++nEOHDhV0WPlq1qxZtG3blrlz53L+/Hm6deumc4sOFRazZ8/G29ubOXPmcOnSJbp06VJoP8uAgAC6devGn3/+qXkA/up32sL8fTYhIYH27dvTrVs3unXrVtDhvJUffviB8+fPs3bt2hztKyx8fX3p168fu3fvxsbGRrPdysoKHx8f7t27R5UqVRg1alQBRpm1p0+f0q5dO4YOHap58HbgwAGCg4OxtLTEx8eH5ORkrl27RkRERAFHm7nJkycTHBzMkiVLNNsGDhyIj48P/v7+BAQE8PPPPxMQEFCAUWbtxIkTDB06lH379mkSnUZGRty8eZNLly5x5coVvv/+e8aOHZtr5xSJt3ewbt06OnToUKhXfcmJoKAgqlatiqmpKSCvMHbnzp0Cjip31K9fn99//52DBw+SmpqKu7t7oW3QXxUXF8cHH3xAy5Yt+fbbbzXbXVxcSEpK0qywm5iYSFBQUIZVrgqr9PR0evXqhYGBAStWrCh03dnfxcSJEzl16hR///13hlVos9tX2K1atYoFCxbw77//aj1Jf76aMMiNVu3atbVWNXrfhYWFYW1tzbhx4xg5ciS+vr78/fffbN++vaBDKzAlSpSgVq1a793vSaVKlShdujS2trYA1K1bV7MS7vsmKCgIf39/Pvnkk4IOJd+pVCqCg4M1K8ubm5tTpUoVzYqV7wtjY2OmTJnCoUOHWLp0Kf/99x+1a9cu6LB0komJCVOnTuXQoUP88ssvHDt2rFB+lufOnaNz585s3rxZK74KFSrg5+enee3v70+FChUKIMLsxcbG0qZNG9q1a5erN+T56bvvvuPo0aPs2rVLM+XLm+wrLE6cOEGPHj3YsWOHZsggaH8XVSgUNGjQoFB+x4iOjsbb25tevXoxZMgQzfbw8HCSk5MZOXIkI0eOJCwsjJ9//hlfX98CjDZzo0eP5vLly/zxxx+ZrsoK8pQ65cqVIyQkJJ+je72DBw8yYMAAdu3aRcWKFTXbK1WqRMWKFTWdc3L7O5oYapoNHx8frl27RnJyMj4+PtjZ2VGuXDnN/jVr1rB8+fICjPDtXLp0icePHwPyNT5f6rdp06ZMmTKFVatWUa5cORYuXEiLFi0KONo3d/36dWJiYlCpVPj5+REbG6uZe+/SpUuaJwfjx49n5cqVBRztm0lOTqZ169aUKlWKpk2b4uPjg56eHnXq1MHExIQePXrwxRdfMGrUKDZs2ECTJk0yXRa5MOrevTuhoaHMmzePs2fPAlCrVi0MDAwIDQ0lODiYqKgogoOD8fHxoVq1apqkcGH27bff8ueff7Jq1SouXboEoFkOPLt9hd2qVauYNGkS69at49atW9y6dQtXV1dsbW0ZM2YMZcuWxdPTk+vXr7NmzRp27txZ0CHnu7CwMO7evUtkZCT37t3Dx8eHqlWr4unpqRlOA9CvXz88PDx09kt7dpKSkvD39+fOnTs8efIEHx8fSpcuTcmSJbl58ybR0dGkpaVx5swZdu/ezaRJkwo65Dxx/vx5bt++TXp6Oj4+PlhZWVGxYkU++OADRowYwdy5c6lduzYLFy7kww8/LOhw88TL/94BAQEkJydr3WivXr2azz77DBMTkwKMMm9l15Y1adKEr776iqFDh3L9+nWOHDnCnDlzCjrkXJeQkMDly5c1n4OPjw9ly5bF3t6eyMhIgoKCiI+PZ+3atSiVSp3tQZQf4uPjuXLlCvfu3SMyMhIfHx/KlSuHnZ0dERER3L59m7i4OH799VdMTEz49NNPCzpkLRcuXKBNmzbMnDmTtLQ0fHx8sLW1xdXVlfbt2/PVV18xdepU6tSpw4QJE7QeNhcGiYmJeHt7U758eRo2bIiPjw/6+vqaeu3u3buEhYWRmJhIYGAgZmZmeHl5FaoHy5MnT2br1q2sXr1ak+isXLkyFhYW2e4rLE6dOkWHDh348ccfiY+Px8fHBwcHB8qUKcPq1asJDg6mdevWREZG8t133zFs2LCCDllLbGwszZs3p06dOtSoUQMfHx+MjIyoWbMmvXv31szbDfL8bytWrKBRo0YFGHFGI0eO5ODBgyxfvpyLFy8CULVqVYoVK4a/vz9JSUkkJyfzzz//EBISonnAVFgcOnSILl268MsvvxAdHY2Pjw9OTk64uLjwySefMH78eBYvXoy7uzuzZ8/O1e9oCkmSpFw7WhGiUqlo2LCh1raOHTsyYcIEAAIDAxk7diz//PNPoapQ30Tnzp01iTcAT09PzbCwffv2sXr1amJiYqhZsyYTJ07UTLRZ2I0aNYozZ85oXltbW2smlu3cuTOhoaHY2toyYMAAOnbsWFBh5sjjx4/p3Lmz1jZTU1OOHDkCyF/Cpk6dyvnz53F3d2fmzJlaXa4Ls0aNGpGenq61be/evVhZWbFt2zYWLFigtW/Dhg2F8unnq7p3705wcLDWtpUrV1KtWrVs9xV2Y8eO5eTJk1rbpkyZwocffkhCQgJz5szh1KlTODg4MHDgwEI3oW1++OOPP/jxxx+1tq1bty7D4iHff/89rq6uRWaagpfduXMnw3WNGDGCHj16MH78eP777z/NhMjDhg2jbt26BRRp3mrVqhVxcXGa102bNtUkVW7evMn06dN5/Pgx9erVY8KECTqRfM+p5//ez5mbm3Pw4EHN686dOzN16lRq1KhRANHlj+zasvDwcH744Qf8/f2xtrZm8ODBtGzZsoAizTvXr1+nX79+WtvGjh3Lp59+yoEDB5g6dSoGBgbUqlWLSZMmaXqDChldvXo1w9Ds8ePH07lzZ/bs2cP333+PoaEhtWvXZuLEiYXu++DmzZtZtGiR1rYPP/yQKVOmAPIQ1JkzZxIREUHHjh0ZOXJkAUSZtYcPH2ZIZr5cr82dO5c///xTa//x48ez7BFUEHr27JmhZ+3SpUvx9PTMdl9hsXr16gzTtHTp0oUxY8agVqtZvnw5u3btwtTUlM6dO9OrV69CdZ9+69YtreQayAuW7dq1K0PZ7t27M3HixEJ3j/BqHgFefNd9fp9jYmKCm5sbo0ePLnT3bosXL2bTpk1a2/r06cPQoUMBuR6aNWsWUVFRNG7cmG+++SbXHhCKxJsgCIIgCIIgCIIgCIIg5AExx5sgCIIgCIIgCIIgCIIg5AGReBMEQRAEQRAEQRAEQRCEPCASb4IgCIIgCIIgCIIgCIKQB0TiTRAEQRAEQRAEQRAEQRDygEi8CYIgCIIgCIIgCIIgCEIeEIk3QRAEQRAEQRAEQRAEQcgD+gUdgCAIwpuIjo7m5s2bmJmZ4e7ujp6eXkGHJAiCIOiowMBAYmNjKVWqFCVLlizocARBEAQdlZKSwqVLlzAyMsLd3R1jY+OCDkkohESPN0EQCpXIyEhGjx7Njz/+iCRJmu3+/v6MHDmSLl260LJlS1QqVQFGKQiCIOiCf//9l8GDB3PmzBmt7cuWLePrr7+mRo0arF+/voCiEwRBEHRFWloaM2bMYMKECcTHx2u2R0REMHLkSAYMGECVKlWIjIwswCiFwkok3gThNebNm0dAQEBBh1EkzZo1K0PjNHfuXIoVK8aJEyc4fPiwZnvz5s3x8fEhMDAQKysrbt26BcCUKVO0Gj9BEITCKjIyklGjRhV0GEXSw4cPmT9/fobt48ePx8PDgzFjxmhtX7RoET4+PgQEBLB27VoAbt68ybJly/IlXkEQhHe1bds2/vnnn4IOo0hav349fn5+Wtu2b9/O7du3SUhIYPny5Zrtzs7O+Pj4cPHiRfr27cuhQ4cAWL58OTdu3MjPsIVCTCTeBOE1Dh8+zKNHjwo6jHyzcuVKTpw4kefnuXDhAidOnMDGxkZre6tWrTh69CgpKSnUrFlTa19ISAiHDh3i6dOnODs7A2BnZ5fpzZYgCEJhEx8fz86dOws6jHyTlpZG//798+Vc3333HRUqVMiwvWrVqhw4cIBWrVpl2Hfx4kW2bduGl5cXABUqVGD16tU8ePAgz+MVBEF4V5cuXeLKlSsFHUa+OXDgABs3bszz80RGRvLjjz/i4eGhtb1BgwYEBgZy9epVWrdurbUvJiaGEydOcOnSJc37qlSpwoQJE/I8XkE3iMSbIAhaTp8+ze3bt/P8PIsXL6Zfv34Ztvv7+xMVFYWBgQHW1tZa+w4ePMg333yDg4MDarUagJ49e/Lrr7+Snp6e5zELgiAIb06lUrF58+Y8P09UVBSHDx+mXbt2WtvT09O5dOkS169fp27duhneN23aNFauXEnVqlUBUCgUdO/enZUrV+Z5zIIgCELOBAYGcv78+Tw/z7p16+jYsSP6+trT4QcFBREXF8fNmzepVq2a1r6rV68yevRoEhISMDU1BaBx48ZcvXqV+/fv53nMQuEnEm/Ce+Pnn3/m5MmTmtdPnjxh0KBBmnnE/vnnH4YPH86kSZMIDg7O9Bjz5s3j6tWrmteLFi3iwoULgNxTbN++ffz0008MHjyY06dPExkZyeTJk/nqq68IDAzUOtaWLVsYNmwYEyZM4M6dO5me7/mTnbVr1zJ06FC2bt2qtf/GjRtMmjSJoUOHsn37dq1j7969myVLljBo0KAMxz19+jS9evWiT58+TJw4UXN+Hx8fTpw4wcqVK+nVqxdHjhwB5MZk/PjxjBw5kmPHjmmO8/fff7N161ZWrFjB4MGD2bVrF0lJSfzwww8MGTKEU6dOZXpdkiSxZ88eWrZsqbU9IiKCZcuWsWbNGvz9/bX2PXz4EDc3NxYsWEBsbKxmvh4rKyscHBzw9fXN9FyCIAi5LTY2li+++ELzAABgx44dbNu2DZB7ts2dO5fBgwezcuXKTOekjIyMZOzYsZrX8fHxDB8+HHjRU+zixYuMHTuWyZMnExsby9GjRxk0aBDz5s0jLS1N897w8HC+//57Bg0axPLly7X2veybb77h/PnzTJkyhbFjx2qG7D+3detWTbsUFBSk2T5w4ECuXLnCxIkTM+1t8P3339OrVy+++OILVqxYoTn/8zh79epFr169ALn+37BhA0OGDOH7778nKipKc5wRI0Zw7tw5Jk2axOjRowkJCcHf35/hw4czZcoUYmNjM72uf//9l3r16mVYdGfJkiU0adKEDz/8MEObcvHiRSZOnMisWbOYM2eOZru3tzd///13pucRBEHIC3/99RebNm3S2jZs2DAiIiIAOHfuHGPGjGHMmDFZft/dsmULBw4c0Lz+888/NXXZgQMH+O2331izZg2DBw9m+/btpKSkMG/ePAYPHszRo0e1jnX48GFGjRrFqFGj8PHxyfR8gYGBzJo1i3379jF8+HAWLVqk9RA8q3bp9OnTLFu2jO3btzN48GAeP36sddyHDx/Sq1cvevfuzejRozXnf/z4MRs3buTAgQP06tVLM0VAWFgY06ZNY+jQoZo2GMDPz4+ffvqJP//8k6FDh7Js2TLUajWrVq3iyy+/5I8//sjiXwN2796d4R5FpVIxduxYNm3aRHR0NNHR0Zp9T548QU9Pj4ULF+Lu7q51T9asWTMxHFgAROJNeI8UL16chQsXal5v2bKF5ORkFAoFq1evZtiwYVSqVImkpCRq1apFaGhohmMcPnxYq4E4fvy4ZkjK6dOn+fLLL0lNTcXJyYm2bdvy2WefYW1tjZGREe3atdPcpI0YMYLdu3fj6emJqakpzZs3JywsLMP5AgMDGTFiBBcuXKBKlSpMnjyZFStWABAQEMCnn36KtbU1NWrUYMGCBSxYsACQh3F++eWXPH78mGbNmmU4bsmSJWnbti2tWrXCyMgIb29v4uPjKVmyJE5OTlStWpW2bdvi4uLC9evXadSoEUZGRri4uNClSxd2794NwOXLlxk+fDj37t2jUqVK9O7dm48++giVSkWpUqX46KOPtBqm5x4/fkx6ejq2trZa2ydPnszXX39N3bp1iYiI0Hrv/v37GTlyJDNmzKBOnTp4e3tr9rm7u2e4qRIEQcgrFhYWXLlyRfNwAmDGjBmUKlUKtVpNixYtOHfuHDVq1GDdunUMGDAgwzHi4+P566+/NK+Tk5M1NwIqlYr169czceJEKlSogK+vL97e3ixcuJBatWqxfft2fvzxR0Be8blFixYolUrq1q2rWUwgM7t27eLzzz/X1L2NGjXS1LOjR49m586deHp6YmZmRosWLTTt3fOEXKlSpXB3d89wXC8vL9q2bUu9evXYs2ePZmhNrVq10NPTo23btrRt2xaACRMm8NNPP1GtWjVu376Nl5cXycnJgHyj+NVXX+Hs7ExYWBht2rRhzJgxVK1alYsXL2Y5P97ly5epWLGi1rbo6GgWLlzItGnTqFq1aoY2YsqUKYwePZp169axaNEizXZ3d3euXr0qFvARBCHflCtXjmnTpmlenz59mpMnT2Jra4uPjw9t2rTB2toaa2tr2rRpk+mD7QsXLmg95A8ICODy5cuAfD/x9ddfExgYSOXKlRk0aBBt27YlISEBV1dXOnfurKnv16xZw/fff4+bmxulSpWiR48emSbfwsLCmDdvHqtXr8bDw4Pff/+dr776Csi+Xbpz5w6TJk3i4MGDNGjQgGLFimkd19zcnLZt29KmTRucnJzo3r07gYGBFCtWDHd3d0qXLk3btm2pUqUK8fHx1K5dm7CwMDw8PJg6dSozZ84E5ATe9OnT2bNnD9WqVWPu3Lk0atSIa9euUa1aNYYMGZJlEjOzNmXlypV4enri6elJ5cqVtdqUy5cvM3LkSCZOnIhKpdLq9CDuUYTn9F9fRBCKhk8//ZQxY8YQHR2NlZUV69atY+7cuYD8VHzlypW0adMGgNDQUDZv3szo0aNzdI7Bgwdrbjj27t1Lr1696Nu3LyBPgBoSEkKJEiVYsWIFXbp00TxhUigUHDt2jG7dumU4Zu3atfnll18Aea6AUaNGMWjQIBYuXIi5uTkXL14E5Ibqzz//1NyYdOrUSdP4vMrZ2ZnU1FTOnTtHXFwcSUlJBAQE0KBBA8qVK0f9+vU1vRPGjRvHwIEDmTFjBgAlSpRg2bJltG/fHoD27dvzv//9D5B7EJQpU4bJkycDci8Ef39/mjdvrnX++Pj4DA1tQEAAJ06c4JdffkFPTw83Nzet9w4cOJCBAwdmej3FihUjLi4u032CIAh5oV+/fqxfvx5vb28uXrxISkoK9evX5+zZs0RFReHj44NSqaRLly6ULFlSU4+/KbVazcaNG7GxsaFevXo0adKEkydPYmhoiJOTE0uXLgXkITFqtZrAwEACAwPR19fnzz//5Ndff830uNOnT+fjjz8G5BuT7du306dPH5YsWaLVLunp6XHkyBF69uwJyD28q1evnukxK1asyMmTJ7l//z5KpZJ///0XQHPj9bw9AVi6dCmXLl3C1dWVIUOGaG7KOnToAMi90728vOjTpw9mZmYcOHAAJycnmjVrpinzqvj4eBwdHbW2TZ06lSFDhmBra4uHh4emvX9uz549mR7L2NgYhUJBQkICFhYWmZYRBEHITdWqVcPMzIxTp07RsGFD1q1bx+effw7AihUrGD9+POPHjwdAX1+fFStW0LBhwxydw9vbm3nz5gFyIs7Y2FiT7Dt+/Djnz5+nffv2zJ49m8qVK2vme7a0tOTvv/+mXr16GY5pamrKtm3b0NfXp0uXLjg7O7N48eLXtkuVKlXKcki/paUl5ubmHD58mCdPnmBqasrRo0cZOnQotWrVIjg4WNOmbNq0CTc3N82iOPXq1eOjjz7S3Ie4urpqzpmQkMCxY8c0nRRu377NqVOnMp2G4NX7lJiYGObOnatJeHp4eODn56e5R2nSpEmWPQPFPYrwnEi8Ce+NYsWK0b59e7Zs2ULz5s2JjIykadOmgNwduly5cpqy5cuXz7QHmkKh0Hr9fJjqc05OTlrne/V1QkICycnJGBsba57+A7Rt25batWtnGvfLcbm6uhIeHg7ICw3Url1bq8GwsrLSKpuVyZMnc+bMGbp3746FhQX+/v5ZDuEJDw/Xamxf/Wze5JpfZWtry5MnT7S2jRo1CgMDA80XjcjIyEyTdpmJjo7OtOEUBEHIK927d2fSpEnExcWxdu1azZyV4eHhlClTBqVSHlRgbW1N8eLFiYiI0GpDXteeGBkZaRafKVasGLa2thgaGmpeP69bQ0JCcHNz02pTOnXqlGXcmbUpoaGhGBoaZmiXXq5Xs2pTkpKSaNSoEd27d6dJkybExMRkWAnuucTERBISEihTpoxmW1ZtyvObnpdfZ9aegNymvNxDOjAwkOXLl9OpUyd69epFcnIyQUFBJCYmaubeycrTp08xMDAQSTdBEPJVv379WLduHZ6enuzcuZNZs2YBcpvy8vyV5cuX5/Dhwxnen9N7FAcHB63XL7cpI0aMoHjx4oDcFlSqVCnTmEuVKqWZB83a2hpTU1OePHny2nYpu3uULVu2MG3aNAYPHkzt2rV58uRJtvcor96/RUREaK79be5R4EWb8vwzmDFjBiqVim+++QaQOwu8+vlmJTo6Gnt7+zcqKxRtIvEmvFf69evHuHHjCA4Opm/fvppGys3NjSNHjlChQgXUajVHjhzJtHeVlZWVZoLMlJQULl26RO/evXMUw/MbjjJlytCoUaPXlj958iRpaWkYGBhw5MgR3NzcAKhevToPHz6kZ8+eGRrb1zl79iyTJ0+mdevWPHnyRGv4jpGREampqZrXzz+bIUOGAHDo0KFMhxrlRIkSJXB0dCQoKIjy5cvz119/ERUVxbhx4zRlJEl6467Zfn5+Wl30BUEQ8pqlpSWtWrVi06ZN/P7771y6dAmQ60w/Pz+ePHlCiRIl8Pf3Jzk5GWdnZ0JCQjTvt7KyIjw8XPMw5vm8lTlVvXp1jh07RteuXTWJuewcPXqUGjVqoFarOXbsGCNHjtTcPLm4uGgeSL2pe/fuYWRkpBn6umrVKs0+AwMDJElCrVajVCoxNTXF2dmZY8eO0bJlSxITEzl9+jRDhw7N2UW/om7duppeDCAPmx0xYoTWytinTp3i8uXLmhVMs+Ln55dpzw5BEIS81LNnT9zd3fHy8qJRo0aaKQGefw/v0qULkPX38JfvUQDOnDlDkyZNchxH9erVUSgUWj2Vs3L16lUiIiKwtbXFz88PpVKJra1tjtull509e5YBAwYwatQoVCoVS5Ys0ezL7B5l9erVmvukQ4cOUalSpRzfF72qbt26BAQEUK5cOW7dusWWLVuYO3eu5rilSpVi3759b3QsPz+/bB+GCe8PkXgT3itNmjQhKiqKVatWaT2RnzVrFu3bt2fXrl08fPgQMzMzevTokeH9n332Gb179+aff/7hwYMHGBsb5zgGAwMDVq1aRYcOHahXr56ml9q8efMoWbJkpuXr1KmDi4sLp06d0syvNmHCBLy9valWrRpVq1ZFqVTSunVr+vTp89oYPvroI/r27UuDBg24cuUKlpaWmn1169ZlxowZ/PfffwwYMIChQ4fSsGFDvLy8sLCw4OrVq1rzGr2t7t27s3v3boYNG8a4ceNYvXq11g2fhYUFU6dOfe1xgoKCMDY2zvJpnCAIQl7p168fXbt2pWHDhpqhjhUqVKB3795Uq1aNWrVqcfLkSebNm4eBgYHWe83NzWnevDl16tShXLlyWT55f52ePXuyc+dOKlasSN26dTE0NMTd3Z1JkyZlWn779u0cPHiQkJAQzM3N+fjjj9HT02P16tV07txZq12aPXs2zs7O2Z7f1dUVIyMjGjZsiIWFhaZXNsjDVatVq4a3tzeOjo5s3LiR+fPn07VrVxo1asSVK1eoX7/+Gz2Eyk6LFi0YNGgQsbGxnDhxggcPHvDPP/9oLbawefNm/Pz8Xpt427VrF927d3+neARBEHLKxsaGRo0aMWbMGDZs2KDZPnbsWBo2bEiTJk1QKBTcv39fa7G4557X30FBQYSFhb1xj6xXLVq0iA4dOvD777/j4uICwPDhwzN9IGFra0urVq0oU6YMJ06c0AxlzWm79LIPPviArl274uPjw82bN7WSaHXq1GHixIlER0fTpk0b+vXrx7Jly/Dw8KBSpUqcOnUq0wWAcur5PUqnTp0YPXo03377rVZHi/v37/PTTz9pEn5ZSU1N5fTp01oPpIT3l0J62/+VgqCjfHx8CAsLo2PHjlrbIyMj8fHxwdLSkgYNGmi+sB85cgR3d3dNUiwwMJBbt25Rr149bty4QdmyZXF2dubMmTPY29trujwfPnyYKlWqaLpy7969m6ZNm2qGr4SHh3P+/HnN8JgOHTpkGNqycOFCgoODGTlyJAEBAXh6emrdBKlUKnx9fQkODkalUlGpUiXq1KnDxYsXMTExybZnmq+vL+Hh4dStW5dr165RqVIlzTX6+Phw9+5dateuTYUKFUhJSeHUqVOkpKTQoEEDTaLuypUrqFQqzbw/vr6+lChRggoVKgBw7NgxKlSooNW1+7nQ0FA++ugj/v77b86fP5/h3+PJkyccPHiQrl27ZnkNAGPGjKF27dp89tln2ZYTBEHIbWq1mi1btlCzZk0qV66stc/f35+7d+9SrVo1TbuQkJDAwYMHNU+/09PTOXLkCMbGxtSqVYv9+/fzySefoFar2bZtm6Zei4+P5/Dhw5p6MiwsjICAAFq1aqV1vhs3bpCamoq9vb3Wvufc3NzYsWMHT548ISkpiaZNm2r1RoiIiODcuXOadql9+/ZYWlqybds2PvnkE82QolfFx8dz5MgRrK2tqVq1KkeOHNFcY1xcHMeOHePp06eaHhQPHjzg4sWLODo6UqdOHc1xdu7cSZs2bTTDQTdu3Kh5T2JiIgcOHKBz586ZxjB79mxMTEyoWbMmNjY2Gf49fH19MTQ0pEaNGpm+H+R/nwYNGnD69OkM85AKgiDktRs3bnD+/Hm6deumVd8mJCRo5hdr2LChpn7y8/PDwMCAKlWqAC/q1urVqxMbG4tSqcTDw4Pr16+TkJBArVq1ADLcJ5w8eRIXFxdKly4NyHX68/slSZJo3LixZt9zx44dY9q0aWzfvp2zZ8/i6uqa4b4js3bp7t27PH78mAYNGmT7OQQGBmquQ19fX3ON165d4/Lly5QtW5a6desiSRI+Pj5ERERQu3ZtzUOwkJAQbt26pVlk7tatWzx58kQzhYK/vz96enp4eHhkOH9aWhp169Zlz549HD16lK5du2ZIsG3atIlOnTpl21Zs2LCBK1euaK2cLby/ROJNEAqx54m3l1djLUqOHz9O1apVKVGixFsfY9euXbRv3/6du5ULgiAUdW5ubvz111+aKQuKkqSkJE6cOEHr1q3f+hghISE8fvw4yzlXBUEQBNnzxNuxY8cKOpQ8ERAQgLm5OWXLln3rYxw9epRatWqJOUMFQCTeBKFQe/UJlSAIgiC8rVd7XguCIAjC28is57UgCFkTiTdBEARBEARBEARBEARByAPKgg5AEARBEARBEARBEARBEIoikXgTBEEQBEEQBEEQBEEQhDwgEm+CIAiCIAiCIAiCIAiCkAdE4k0QBEEQBEEQBEEQBEEQ8oBIvAmCIAiCIAiCIAiCIAhCHhCJN0EQBEEQBEEQBEEQBEHIAyLxJgiCIAiCIAiCIAiCIAh5QCTeBEEQBEEQBEEQBEEQBCEPiMSbIAiCIAiCIAiCIAiCIOQBkXgTBEEQBEEQBEEQBEEQhDzwf8JFeQjKVolDAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12.5, 3.9), sharey=False)\n", "for ax, name in zip(axes, SOLIDS):\n", " for alias in MODELS:\n", " vols, es, v0, e0 = curves[(alias, name)]\n", " n = len(SOLIDS[name][0])\n", " ax.plot(np.array(vols) / n, (np.array(es) - min(es)) / n, \"o-\",\n", " label=alias.replace(\"mace-\", \"\").replace(\"-medium\", \"\"))\n", " a_exp = SOLIDS[name][1]\n", " ax.axvline(a_exp ** 3 / len(SOLIDS[name][0]), color=\"k\", ls=\":\",\n", " lw=1.2, label=\"experiment $a_0$\" if name == \"Si (diamond)\" else None)\n", " ax.set_title(name)\n", " ax.set_xlabel(r\"volume per atom ($\\AA^3$)\")\n", "axes[0].set_ylabel(\"energy per atom (eV)\")\n", "axes[0].legend(fontsize=8)\n", "fig.suptitle(\"Equations of state across MACE-MP generations\")\n", "fig.tight_layout()\n", "fig.savefig(\"mace_mp_eos.png\", dpi=150)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1c8dd693", "metadata": {}, "source": [ "All three generations sit within ~1% of the experimental lattice\n", "constants. The finer print is the interesting part:\n", "\n", "* **Si**: PBE itself gives a0 = 5.469 A and B = 88.8 GPa, so MP-0 and\n", " MPA-0 landing near 5.46 A / 75-90 GPa means they reproduce *their\n", " reference*, and OMAT-0 (trained on higher-fidelity OMat24 settings)\n", " moves both numbers toward experiment (5.42 A, 95 GPa here vs 5.431 A,\n", " 98.8 GPa measured).\n", "* **NaCl**: an ionic solid held together by physics none of these models\n", " treats explicitly beyond 6 A, still within 1% on a0 and ~15% on the\n", " (soft) bulk modulus.\n", "* The whole screen, nine equations of state with three ~80 MB models, runs\n", " in seconds on a GPU through the ordinary ASE calculator; each model is a\n", " drop-in `XNNCalculator`.\n", "\n", "## Summary\n", "\n", "`MACE.from_foundation()` makes the complete MACE-MP series available as\n", "standard xnn models: pick the generation, get a universal 89-element\n", "potential with periodic cells, autograd forces and stress, and the same\n", "deployment and fine-tuning paths as every other model in the library\n", "(fine-tuning is demonstrated on the organic side in\n", "`mace_foundation_molecules.ipynb`).\n" ] } ], "metadata": { "kernelspec": { "display_name": "xnn (3.13.12)", "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": "3.13.12" } }, "nbformat": 4, "nbformat_minor": 5 }