{ "cells": [ { "cell_type": "code", "execution_count": 2, "id": "458a6a00-0c7c-4512-9097-b3d77481e085", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy.modeling.functional_models import AiryDisk2D" ] }, { "cell_type": "markdown", "id": "8313193a-3a0f-449d-942d-b3835fa701b2", "metadata": {}, "source": [ "# Optics" ] }, { "cell_type": "markdown", "id": "bf14c6bc-4707-4af1-a42d-36f0db20d00e", "metadata": {}, "source": [ "
\n", " Key Question \n", "\n", "What's the minium distance between two objects which can individually resolved, and how do optical telescopes work?\n", "
" ] }, { "cell_type": "markdown", "id": "cf03eeb3-ca3e-4fb7-b3ae-3b3bbe044d1f", "metadata": {}, "source": [ "## Focal length, diameter, f number, plate scale" ] }, { "cell_type": "markdown", "id": "5afcdfc4-d5f3-4667-8e4b-ab0a99c2d984", "metadata": {}, "source": [ "There are a few key phrases that get used when discussing telescope design that are useful to define. First, we have the focal length ($F$), which is the distance from a lens to where an image is created. Second, we have the diameter of a lens, $D$. Often photographers refer to the focal ratio, $f$, which is $F/D$.\n", "\n", "Now imagine we have 2 stars that are separated by an angle of $\\theta$ on the sky, and a distance $d$ at the focal plane.\n", "\n", "![Focal_Plane](Figures/Plate_Scale.png)\n", "\n", "If we define the plate scale to be $s$ and that its units should be arcsec/mm, then the relation to $theta$ and $d$ is\n", "$$\n", " \\theta[{\\rm arcsec}] = s[{\\rm arcsec}/ {\\rm mm}] \\: \\: d[ {\\rm mm}]\n", "$$\n", "Using the small angle approximation, we have that\n", "$$\n", " \\theta[{\\rm rad}] = \\frac{d}{F}\n", "$$\n", "Converting $\\theta$ from radians to arcsec and combining with the above gives that\n", "$$\n", " s[{\\rm arcsec}/ {\\rm mm}] = \\frac{206.265}{F[{\\rm m}]}.\n", "$$" ] }, { "cell_type": "markdown", "id": "8821343f-eb4e-47ca-b45a-035b59061396", "metadata": {}, "source": [ "## Fraunhofer diffraction" ] }, { "cell_type": "markdown", "id": "113572f4-dc96-4f63-b907-4faae2004b5f", "metadata": {}, "source": [ "Recall from your optics lecture that a wave with wavelength $\\lambda$ which passes through a slit of width $a$, where $a$>>$\\lambda$, will produce a pattern given by:\n", "$$\n", " I = I_0 \\frac{\\sin^2(\\frac{\\pi a \\sin(\\theta)}{\\lambda})}{\\left[\\frac{\\pi a \\sin(\\theta)}{\\lambda}\\right]^2}\n", "$$\n", "This is shown in the below figure. This pattern has a minima at $\\sin\\theta=\\frac{m\\lambda}{a}$ where m is an integer. The interesting thing here is to think about what the mathematical relationship between the slit (which is a boxcar function) and the Intensity is. The Fourier transform of a boxcar is a sinc, and our function is a sinc$^2$. This is a branch of optics known as Fourier optics, which allows us to use Fourier methods to establish what various optical elements are doing.\n", "\n", "![SingleSlit](Figures/Single_Slit.png)\n", "\n", "If the slit is 2 dimensional, like the aperture of a telescope, then the pattern produce is this function rotated around it's axis, and is called an Airy Disc. In this case, the difference between the minima can still be given by $\\sin\\theta=\\frac{m\\lambda}{a}$, but m is no longer integer. The first minimum occurs when $m=1.22$ (the derivation is tough and beyond the scope of this current module).\n", "\n", "![AiryDisc](Figures/Airy_discs.png)\n", "\n", "So, if we have 2 sources in our image, they will both produce Airy Discs. In order to not have their primary peaks overlapping, we want their angular separation to be:\n", "$$\n", "\\sin\\theta>\\frac{1.22\\lambda}{a}\n", "$$\n", "or, for small angles\n", "$$\n", "\\theta>\\frac{1.22\\lambda}{a}.\n", "$$\n", "This is the Rayleigh criteria, and is very important when considering what wavelength to observer your source at.\n", "\n", "
\n", " Example: A 10m optical telescope\n", "\n", "For a 10m aperture optical telescope (observing at $\\lambda=5000$Å) we find that\n", " \n", "$$\n", " \\theta=\\frac{1.22\\times0.5\\mu m}{10m}=0.01{\\rm''}\n", "$$\n", "\n", "Again, this is much smaller than the seeing we're used because of Earth's atmosphere. As such, it makes sense to put optical telescopes into space where they can make \n", "full use of their resolution.\n", " \n", "For example, consider the HST. It's mirror is 2.5 meters in diameter so $\\theta=0.05{\\rm''}$.\n", "
" ] }, { "cell_type": "code", "execution_count": 54, "id": "50346ffa-1949-474f-b44a-1b7addca0f5e", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true, "source_hidden": true }, "tags": [] }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABG0AAAExCAYAAADGGl/sAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8/fFQqAAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOz9efxty3IXhn17rb3P75z73tOExCAhy2Ami8ECgu1gbIMxBmSJyQEhQBIBh5DEJgzxB5sQDNgh2DGDGGw+hhgQIAQIGzBDgAQzmMEYYcAQhG0QIEACCenpDffec/Ze3fmju7qrqqt79dp7n3vvk7re577z22uvvXpYa1VXf+tbVS6EgClTpkyZMmXKlClTpkyZMmXKlCnvLVne7Q5MmTJlypQpU6ZMmTJlypQpU6ZMqWWCNlOmTJkyZcqUKVOmTJkyZcqUKe9BmaDNlClTpkyZMmXKlClTpkyZMmXKe1AmaDNlypQpU6ZMmTJlypQpU6ZMmfIelAnaTJkyZcqUKVOmTJkyZcqUKVOmvAdlgjZTpkyZMmXKlClTpkyZMmXKlCnvQZmgzZR3RZxzP9E590cedK0/7pz7Nx9xLePaf8059wNfx7Ub7f2Lzrm/8U61N2XKlCnvlDjn/knnXHDOnV7DtYNz7jvd+Nuf55z7DY/uE7v+33bO/avvRFtTpkyZ8l6We2z2O3/7Wu1r59xvcs79h+9EW1O+ZcoEbaa8NnHO/QDn3J9xzn2Tc+4bnHN/2jn3/QAghPDbQgj/2rvdRwBwzr3fOfcR59wf0t+FEL57COGPP6idX+icuzjnPpz++5+cc7/GOfftWHt/KoTwXR/R3pQpU6b0JIEJbyX997XJ6Hz/u92v1yVpfFeucwEghPBLQgivBfjX8k62NWXKlG9eYoHTybb8re9Wn95r4pz7yWmePo8ffyft62nLT3kdMkGbKa9FnHMfB+D3A/jVAD4JwKcB+EUAXr6b/WrIv4HYrx/inPu2oz+60Vv8O0IIH0Cckx8N4NsC+Aq9iZgyZcqUd0g+N4TwfgCfBeB7A/j33t3uvB5xzr0PUdd/E4CfdOB3D2cFTZkyZcp7QZxz67vdh9cgXwTgGwB84egPpp6f8rEgE7SZ8rrkuwBACOG3hxC2EMJbIYQ/EkL4K0BGwv9bOjmh4j/dOfc/O+c+6Jz7tc45l75bnXO/zDn39c65r3LO/Vs9ir1z7qc45/66c+4bnXN/2Dn3GTt9/SIAvw7AX4Ey5hWt/Rc6577cOfdbnXMfAvDvOufedM59K3b+93HOfZ1z7txrMIRwCSH8NQCfB+DrAPyc9Psf6Jz7e+x6P9c59/cTM+dvOOd+MJuTn+ec+5vpu69wzn36zjinTJkyxZQQwtcC+MOI4A0AwDn3zye25Aedc3+Zh4omHf63kv75KufcT0zHF+fcz3fO/R3n3D9yzn2Jc+7jdXvOuc9zzv0FdexnOed+X/r7yTn3nzjn/q5z7h86536dc+4FO/ffcc59jXPuHzjnfsrAEP8NAB8E8IsRdT5vN3uqXQnh+qnOub8L4I855/6Ac+7fVr/5K865H2015Jz7gjT+f+yc+7922nqe1pN/nOb4v3fOfZv03Sc5535jGt83Oud+Tzr+yc6535/O/wbn3J9yzk1bbsqUKdmGdM79nKR/v8Y5979l3/8m59x/5pz7g865jwL4Qc65T3XO/e5ku36Vc+5nsPP/WefcX3DOfSjp4V/OvvsRLqYQ+KCLYUv/dDr+c51zX6769cXOuV/V6HPTZnfO/RDn3Fe6yNj/NQDczvg/A8C/DOCnAfihjjliDfv6b6e+/hUAH01ryu9W1/tVzrkvbrT1vZ1zfzGtgb8DwPNOW4dseRflV6R7+CHn3P/onPsevbFP+eYvc6Gf8rrkfwKwOed+s3PuhzvnPnHgN58D4PsB+F4AfhyAH5qO/+8A/HDEzcT3AfCjWhdwzv1IAD8PwI8B8CkA/hSA3945/zMA/EAAvy39t4fM/0gAXw7gEwD8MgB/PPWV5AsAfFkI4bJzHQBACGED8HsB/ItG374rgH8LwPdL7JwfCuBvp69/NoDPB/DZAD4OwE8B8OZIm1OmTJmixTn37RH17P+SPn8agD8A4D9EZAb+XwD8bufcp7jIWvlVAH540k3fH8BfSpf6yem/HwTgOwJ4P4BfYzT5XwP4rs6578yO/QQAX5r+/qWI4P9nAfhOiGzNX5D69sNSf34IgO8M4F8dGOIXIa4FXwbguznnvu/O+f8ygH8aUe/+ZjBA3zn3z6T+/AH9I+fcZwL4zxDXgk8F8K0AfPtOnz4ewKen8346gLfSd78FwBsAvjuAbw3gV6TjPwfA30Nc374N4noXdsYyZcqUbznybRH1yqcB+KkAfq2ywX8CgP87gA8A+DOIuvgvp/N/MICf6Zwj+/uLAXxxCOHjAPxTAH4nADjnvguiPv2ZiLroDwL4r51zzxB17Gc75z6Qzl0R7WTS7Vl6Nrtz7pMB/JcAfj6ATwbwNwH8Cztj/0IAfyGE8LsB/HUAP3Hn/M8H8K8j2vS/FcAPc859Qmr/BODHA/gSo9/PAPweRD39SQB+F6JjoJIbbfl/DcC/hLgGfjzi/P3jnbFM+WYuE7SZ8lokhPAhAD8A0Zj89QC+zjn3+8iL2JBfGkL4YAjh7wL4b1A8vj8OcdH4eyGEb0Q05lvy0wH8P0IIfz2EcAXwSwB8lmuzbb4AwF8JIfz/EBea7+6c+96d6//ZEMLvCSH4EMJbYMZ8Wpg+H1GJH5F/gKj0tWwAngB8pnPuHEL42yGEv5m++zcB/PwQwt8IUf5yCGEq9ClTphyV3+Oc+zCArwbwjwD8++n4TwLwB0MIfzDpuz8K4C8gGpcA4AF8D+fcixDC1yTmIBCN5F8eQvhbIYSPIIZb/XinmJEhhDcRAevPB4AE3nw3AL/POecQPaU/K4TwDSGEDyPq8h+ffv7jAPzGEMJfDSF8FMAv7A3QOfdPIIJIXxpC+IcA/r/YB+h/YQjho0nP/z4A34UBTF+AGOr6yvjd/wbA7w8h/MkQwksA/7c0V5ZcEMGa75QYqV8RQviQi+GyPxzATw8hfGNiZv4J9ptvB+Az0vE/FUKYoM2UKVNILgB+cdIPfxDARwDw/Cq/N4Twp0MIHsD3BPApIYRfHEJ4FUL4W4g2+49n1/pOzrlPDiF8JITw59LxzwPwB0IIfzQ5Kf8TAC8AfP8Qwt8B8BcRUwAAwL8C4E32Wy49m/2zAfy1EMKXpzZ+JYCv3Rn7F6KAQ1+KfT3/q0IIX52iAb4GwJ8E8GPTdz8MwNeHEL7C+N0/D+AM4Femef5yAP99o41bbPkLIqj23QC4ND9fszOWKd/MZYI2U16bJCXzk0MI3x7A90D0Ov7Kzk+4Mn4T0UOL9LuvZt/xv7V8BoAvTnTNDyLGtTpED4IlX4jIsEEI4e8D+BNQ1Hkluu3fi6iIvwOi1/ebQgh/vvN7Sz4t9VNICOF/QfRi/EIA/8g592XOuU9NX386otdhypQpU+6RH5W8fz8Q0UD85HT8MwD8WNKlSZ/+AADfLgEln4docH+Ni+FD3y397lMB/B12/b8D4ITICtHypUigDaL39/ckMOdTEFkmX8Ha/n+n49QG18W8PUu+AMBfDyH8pfT5twH4Ca4fxpqvH0J4G8DvAPCTXAxF6oHzn6p++1G0PaS/BTEk7ctcDIP6j1OfPh3ANyQnhZb/JyIb6o+4GJ7273bGMGXKlG9esiGCBVzOiJt8kn+cABASbk8DUnd+BoBPVXr+56Ho65+KyPb4ShfDNz8nHRd6PgFAX41ia2vdXrFsWPstm13r0oCO/e+c+xcAfAdEByz14Xs65z6r9RvjepxV+ZPQ1/N/XwHm5jp0iy0fQvhjiAzVX5t+85+7mCt0yrdgmaDNlHdEQghfCeA3IYI3R+VrIOnlvdwtXw3gfx9C+AT234sQwp/RJzrnvj8itf7fc7FyytcC+OcQjflWUjLh0UzG/O9EVO5fgIMsm7QB+FxESmjdWAhfGkL4AYgLWwDwH7Fx/lNH2poyZcqUliQmx29C9JgCUcf8FqVL3xdC+KXp/D8cQvghiKyPr0T0zgKROciZjf8EgCuAf2g0+0cBfEoyqj8fxbD/esQwoe/O2v74EBMmA3FN4OvAP7EzvC8E8B2Znv/liODUZ3d+o9krvxmRRfSDEb3Gf7bxO9E359wbiGyauoHoof1FIYTPRAwx+5zU168G8ElE01e/+XAI4eeEEL4jgB8B4GdTfoQpU6Z8s5e/C+CfVMe+A/aBay5ct301gK9Sev4DIYTPBoAQwv8cQvh8xBDN/wjAl6fwWKHnEzvy0wH8/XTodwH4gSns9kejDdr0bHatSx369v8XIQI+fynp+f+OHR+ZCyCGPH2vlD/mc5CcuoZ8DYBPS30iaa5Dt9jyIYRfFUL4vgA+ExE4+3c645jyLUAmaDPltYhz7ru5mAjt26fPn45olFv0yD35nQD+z865T0tG7M/tnPvrEEGY757a/Xjn3I9tnPtFiJuGz0QMxfosRFDpBSI1fVS+BDGHw4/AIGjjnDu5mLTttyPGH/9y45zv6pz7V5xzTwDeRtzEEM3+NwD4D5xz3zklLPtejiVEnjJlypQb5FciVtH7ZxDj+z/XOfdDXUyW+NzF5Irf3jn3bZxzPzIZ7y8R6fekm347gJ/lnPsOLpYP/yWIoURX3ViivP8uRPbIJyHqY/La/noAv8I5962BmGOH5Vn4nQB+snPuMxMo8u/ra5M45/7XiEbxPwup50eo87yvfzaN8Zehr+e/HMDnOOd+QMp78IvRsLWccz/IOfc9U2jthxC95T7R4P8QgP/UOfeJzrmzc+5fSr/5HOfcd0qbhW9C9Ly3wq+mTJnyzUt+B4Cfn/Tw4mKhjM9F1Du3yJ8H8GEXE+W+SLr+ezjnvh8AOOd+knPuU5JO/mD6jUfUwf+6c+4HJ3bgz0FcC/4MAIQQvg4x5+NvRASF/nqj/Z7N/gcQUxb8mORI/RmI9nIlzrnniGGzPw1Fz38WgH8bfUeskOSI/XLE9eHPh5iuwZI/i+iM+BlJP/8YxDXG6tthW9459/2cc/9cmtuPpt9NPf8tXCZoM+V1yYcRWSv/nYsZ6v8cgL+KVCXpoPx6AH8EsbrT/4CY8OyKaKwKCSH8V4gI9pe5WOHpr8IAYJiC/9UhhK9l/30VokHeQ+Z1m38aUZn+xRTL25PPc859BNHY/n2ItPnvG0L4B8a5T4j5e74eMXTsW6OU4/3liIvmH0E09v9fiGDTlClTptwkydD+EgC/IITw1YiJ138eYoW7r0b09C3pv5+N6G39BsSkvf+HdJn/AlGH/kkAX4VobIrKS0q+FDGR8O9SwM7PRQwD+nNJl/9/kPIyhBD+ECLA9MfSOX+sc/0vQszh8D9yXY+YYPNznHNWPrGWfAliDojf2johxNw+/6c0rq8B8I2IiYMt+baIG4QPISbN/BMogNAXIII4X4mYa+hnpuPfGXEuPoK4cfhPQwj/zYExTJky5WNXfjEiMPLfIuqW/xjATwwh/NVbLhZiMYzPQQQ4vgrR3vwNiMlvgZjX5a8lu/WLAfz4lP/lbyAyzH91+s3nAvjcIPN8kW5vsWy6NnsI4esR88v8UkRb+TsD+NONS/0oRDDkS5Se/y8Qw3N/2OCUAJFV+T3RAefTOH8MosP2GxDDhf/Lxum32PIfh7j3+UZEFtU/RnRuTPkWLC7M/HVTPsbEOffDAfy6EMJeKe93TJxzfwwxyeVveLf7MmXKlClTHi/OuS8E8NMSzX3KlClTpnwzExcT138lgG8bYlGVKVPeEzKZNlPe85Iom5+dQoo+DZEK/1+92/0iSTTS74NIW50yZcqUKd/MJIVh/R8B/Ofvdl+mTJkyZcrjJeWZ/NkAvmwCNlPeazJBmykfC+IA/CJEmuD/gEgj/wXvao+SOOd+MyJV/WeGWJZ2ypQpU6Z8M5KUS+frEJMpN6n+U6ZMmTLlY1NSjrYPIVaCbeZJmzLl3ZIZHjVlypQpU6ZMmTJlypQpU6ZMmfIelMm0mTJlypQpU6ZMmTJlypQpU6ZMeQ/KBG2mTJkyZcqUKVOmTJkyZcqUKVPegzJUt57EORcizuOsbweuYIVi6WOtz7029XfO/sVIFxvdCK0vzGOtkDN+vNWZo3PrOp8OXupe2Ym0C51PYxfbm9fReerPsbMPj0kw/6w+lc+tcY48B496D0ee33v6dE9f9PEj7809/eDH965975hb349ct3fOSDuWPm/oz+aVe/dwrw+t97LxPu51rCedruzrpiNjIumP7WHjOtSPR0it5Nrzd+T+y2P9+XmHFrJhfd46RjLwjrnWuffKawyB352fUf2upWXb1ceas3XPNA7bf711vNehtj3S6vb+OxYArN1rtK9nH7GPj63B79jr+mgZXid6Z+0P2Dxj/OB7QIzZGDvUuFZ/nO/q3uaR0tQt7SP18bG9zv16YER/j+5DxjTbeLu969/yMNxi4/Xau2e8ABC+PoTwKfroIdAGWLCuHwAtDLlrbp+wE4JPf23GMQ+kvwMCAJ+/K9de4OAAt4AThOL3q/jsFIFopH91n4AAbxzX/S/nIPjcf6RcQSHdjNh3uolpLEAaD8rxqq+rOQY9RuscKe8Uqcp3v+Xzm4+Z8wzwuS7fpe/FfTow5835ls9Q/P1jnqPYJ1+NbeT5L+3q/i9Gn+xnZb9/mzpW9wchGPOqn2OrT7JvvD27P3733vL2c39UH45JeaaCUJ7tcZPY7zGMfqjn3hpjPhDKOHNDxnjNdg0R97L0JYRrpc/5vbN0TFDjiPfN0In6+cnCxkDPtXoH79Xhdf+M44ae2l2jAGMuWR/V+8nHZc1rPabH6+jWvI3Op6mvxTFfHWvr87E+vvNr231rVuscLq0xOrUeWee2jlnSfN4H7sNtYt/rIJ6LPf0gpaXPe2u1/P19z7yW9riAso7rNUTPd71+W3qvN4b2Mxfnd9s+itPpE5rjP3IteUzK3n14lO7W0nuG721j5P2w1oyejOuxsflqHn8N60ZrrL15staFvd8enVNgf7yPeN5e57NmXf91vo/A/pwN23WAsF1LA719bF9f1+My9iOp3e56kfthrRmyH7yduh+NPUgl1j5+/12ux2uvHSG8+jtGo8cSETt3Cuv68budandw5GbEDau5MauMfKBlEI/0ze6jtTCP973acO1sLkc23WOLYHusj1o0j0h/EdxX6HtATrVAHNhwWy/a3n145HNVvuNjMV5cDlRw4OZg30f7VwFJvf7AAY4p4yagKvvF22r3p992fW0bkBuXPhDIn6s+YKSlA9xUbfF+qOcWaIM2zbaZmG0BIVxA+nxkkT8C2OR2wib6r3UgB90tsPQW3TVqHLaMhfp7+75l2dmI2eN5PRubqmt3GPp7c9Yz0m8FCV63wf1Ot7Pfdvs5OAJI5D7dsNm6V1rPAR1vAx3s/IGNAGDNyXEA5/HgTe2AEYY+2dhubei/Mpajepj3ads+hPPpk/bHYdq3gG1bSTkCNL0b79ij1ot75VZw5p0AIY/KbY6P3rGx390rR+fnnXjWRtq19GXrXLsv4064qi+NPUr5fIstJPtU95dfn6QN9Md+kn7l46ud2rItvQeR7cg+NPb3Qo60LcVcM5UjI4S3vyKE8L/Sv33nd/NTpkyZMmXKlClTpkyZMmXKlClTduVmps19IRgjXvx9zyzvx63e2T3qqzyvgfbthW40Q1qOhuQ8jk3zSJT+KELdPr/vrd1nQEkUWHu75P0B9sN7Hv+ctULu9jx1zb4P9nuvX0W2GgVu9Ye3vUtpJ2mHSbWYDcfvI/LxcbHR7vb7XdoYD5Fi7ZCI9vi4+yFSwB7LR4kRjkBMm3tZNvWzuxXvMuu3HR4wGjo0MMQdho2td1rPIElPt9XvXXsst3lZ7T7Z8jrp8715PMaqvLUvg17dA3T7W8MXxuTYuHsMm3vv373sm967uP8syFDflo1Vrd+m9N6h2ot6f9hdLXshYCbbkK0htHY4rA9n2/jtQzh1mDb9kL4+y+Z1MJF7ci/z4nWzLPrt9J+zexlh7yXm/K2sVvt6j2HgvBtsq0eH541Fe/T6MJ5Wo+rL6D6rNWfNPcD+vmQ3usWyz5uMF6CXckTKYNqTSvr7H2CEVUTjgFg3Wkybgzlt2p1od2og30EVxrJ2wi3a4VCjfZP9a1PC9h4W+p5umAhhMYGaIyDAbQbGu6HQj855+4W1rlvujcOCEDycW9g9o2MrxH1zCxw8EOK9CS6kz0HeV7pn7EUNIGNK9o3apXu2Nx49lhj2x851/NpsDqy+hy1u4mmOnEegfovrLGke1tzHXv+oX91jLrYTqO+uzGPuNwcvqnvD2y99i/8W/VDapfPL+8XbdgH2XMCVhSQ/O6PvQzqf3ktudLObk9tlD0cFrmQ50j71gX5Xrg2gcX06qfR7T+JcsnCvm+n4LRB+k/q80olSH7bDh45JX59r6YXmaenp4bY+12FQ1TwfGOetc3Irrd6aC4eic/nv9/TLPWRe2Q+5FojzOkZmLeWeBfjq+avl1mfz+LgfFRpR6XN2Df5uPMJW2H+W+Dk+r+FFndXrd/zd/iZKrr/6fq/1NciuxpHnV12Cn5vXH4nJhJRT1WWbcYlrVPB5zQpuS+sI/20ch5wzCJujDMV+H1vymJwZwKNDWe0+vfNye9/vB2juAWdeRz4bLkeeMZL8jsuD8qNhd1r8Adcxe95LcmQvYEm1pqb3W85T1JHW3NV9iHa27pelS6q+dNqOQrY4bOAm6/eyT9Lz0tK7u/sRyz5n+43Sfk/H8z1IS2pb3D6W2hB7ANUfQ1r3ECi2fotOcxi0eQRgY+aA4R5YZuD3vBBHvbKjaGYPaePnig0JgF4831i/xxfAdwOcuVf20FUbkdTXSP8qhRDEBpmAN2bYwCO+qB6ABt4KeAMgAyEcQHDMuBLkB7VA7QEkfMxSOcrxkeFH/QluheNAYYAEblK/JHADkOIe6Ve8dlkYcj/S/HAjNG79A7M4OYjE78MIcEPHtDJbjIVhKaARAQN8LnrgxkEpYBEHjxhwk8YtFgtgB0BRm0+3AMFXYAqcy+BUlhBEe22wyBrMYiywjv3VB2ti8wXQLp85oL0d0OejgE1noRzS50BrAz+ySWh5afb1uTx2ZEMO1HN/RHrXffS68brWIa0zii6u7/nu+i2ErzWrABDkvLWfy/f62iv1ufou647HP1+0lrWEr3G99dsCcei4fV3LfuiAOIfXb1sHCUeMcsBU63dyAvH1mwM35bcFuOH92QNuejLGkrRlBKCW590mjwJsXu+7OQau9JzK1vmtY+L71wzOHG23B+aY9qa1A90xXaQDj8vjwb3eJvqI3Ave8L7w/UG5trbPe+ANPyZ1CbBjJzTa5jrMts+pQQuYB4TTZBcwL3uDskfSbXGbwNoDtJ4hqy1rDwIUp7X1EPcBI2DUMZDGYdrp9ZlTpkyZMmXKlClTpkyZMmXKlClT3mNykGnTh0ZH4tGGcmMIr+xjEH7LK2tT/XVf4+caQT1egrzHrGmN5b3u1XuE9Bg4Na1O/zb9yzxm0XPHaddA9sC6FHoEAIHuH2PcAAntpPwlvF3JikkN30S3bqPpZVyc2cO9dbkdxjABOEOIz2mhSY6wtziaX44BHOF2cAiKCWIzfwgFt9ptUxQrL4Jg+ZRwIRv5TpIR71GkHRCovUC80+9ZaFbVHGe9VGwjdg1LKnTdYhTs0C+HWD7plB36ZfxunGUT6HhHnztHS01dVWlPL/ZYNr3QLev8lrTfDbvqQb0G2WOpPg8+i6Ne9EfJ3vy8jtKsOz8ubQdN1W7Jpp5LGfeu9bn2/JndMJhSt47rljls0dlH2Z2Plj3vLJc282ZR9pSXykisuexww/zMusBiFol10Lhug7krhdaQRR1TbJt0vfJskWf72ly/M9tG/HZBsUmPeci17Ie2tmWEZdNnJpH0GVItOTrex74HY6wa69gj2DXvFrNmVFohl0A9rmZ4jB7jEPMGeF3smyNsGxFm2tHP7Xvcf0f0/kD2r8MKUX3g+m8k7FL0odE212Hxyz12CLfBSwRAs91qTHZoVov9Epnw0h4eC5Gq2Z3cFi92M61ZLK/FDSyfHluqJzfltLGkDdjQBvlIKWMbsDmav6ZFny/f7QBLA/2U/VirRU1+/94EaW6hBb4T/RxT/vx8/gWBN1zRx3tewBCWO8aVlzMqy4DAkBOXqGviPaX2G3TrUZBE57mplSMEcENj5cBNHPIigJvSBzu+tdcnk5pI4yTaqmMx+hQyVIFIUjH1N8dWGEu6L65cM4y0DWdSFY9KCxzSYNXx3DXGBiMvCgW542OMf8gH8P4QKXuzJT4HrTcBoSvZS2jpyQjY2LkQHgvYjIVTyL5yaZel3NPnRynye3IPYNMzxm4xSo/KvQlfW8aqBMw7/VPOIaJm14ByS2R4873hIFn3dTY63d9rg16/rwfX79f1bGnRoVjcSBWbh7yZKPMkw6ZIrA3KWKhA7hMDRHjbwWhbitbxrL9sk0GhUtou4cANHUOIujM4WkvK2i3nR80XuwfDIVLaFq7mqrWGHclhc/ydEMda4M4OeHPMFj2mi0dt9I+lPDWPlr2QS+v97IE4o7nT5DM0OmfjNkETDDFCdPPvDd089nzycxqAcGygss9rKe+ytrvH+0PNlXuiwZRWyFK2SZXz9ogz2QKjqmNO5doE4Q3sekmn1o6CnXGLZzbq9Mp2dmKjJdvM4wa7zl7bcq/T8qo+BLSxPJzc4xXbLzlh9hL3EmBjGb6jD1yfWRP72upj9hjnfp66rBrdz9Zi9k6BNI+KD35UG48ao6VQtfFXzk3/cuWVvV/lebUS/8bN7ZbBGwAZwHHgSmIR721qULaJ/vj1gqbj42ksVnJDMvx4DOvjkxPz5GdsjAw8ASCTAxsgkp2UTKPdvcTEfGF0ou38vuq2e8yUprAFoAI5CljUBXJMwGgH2LHa6rJtGnIjULVf8UHlClEbYwDppZP6XAM2I2C22T8OHLHNeN0/LvZ9l89+u6LBHrDUA2r470dlpOpGT/TGrvr+IGhwCztpBNjoG9+1sWoZjPk6VU4QDs6ke+vqvHN87e7ZFqOATc/YNzctjc32yJz37t0eAHukLattfc2RZ1w/d63N2O76HQ8IKb/ZuvegAHiqb8b6nTrKzmmNsawVYlOUgZuyhnLgJl4+rV+BgYum0yX+3gJuYnftvo0xbPqb7H29bc2Flv1n/FYQcX8DdJscAVxGgdxDIO87yLB8J2VUR1rr1J7tb13TlvHn1Fpz9sTSjXZ/ezZpsf0qXdnSLTu2DzkutPN2FIS38m+2HLrk6LSY5/a+zb6fct1s5NoUQvOmnLd5PvQ4R9k2UnSuyyK35dQ5+pw9HjGYMmXKlClTpkyZMmXKlClTpkyZcrfczbTZY9novDDRC0tIVL8ULDCOZFt96tHnzT5SWWW4zAKK7RIaV1c/4X1seY73PLK3ygg6d5x10zr/eJ97tGV9zq3XJrEo1/J8ZOpzAUIJLd0EWuxADlyfL1RCplajWhPvB7+OxS7pj4eHBnBUuVWRQoQJBSsMQLNtgIdUlFLhWqIUt8kGKch/zbYBevltCtsmjV97adDJbyOYJ/uod5H0bLg6n464vGD4HHmWeZ+kiPGkh0uwe1jFrlgh7b4QqUMsG4OVaOnzXg4b+ky/saX2FFv6XPbzCDOkXQVqr489ff6oUKiRUA/dvvV9i32zty7stcXPGdXhPQ92jwptlTe2PG3k9Ys6kHs8rT6sjf7UTNkRJk7r2HA42uD93l1LdvK+HGkf2L/fh/OONEIgRtbv9EN9QeP8dlncir3IctXRZ+2BLn1r6XjpGececfo9Z9sAcv3m+txmygKt8GZTdzRYNn1dKe1vkj7LZu+e95/pUUbJeLjl7Tbqke+OhH8+kkn/TjDo9+SRrPnWeqUZiYDS5w39avVtfM5se8xcmxosyaptxWKxdXdPp8j+7OqW3E/OAtF2N6AZ97ewbeLvgYqVwuzLmnnOx0W/3Su9zUWzYJa8D+Htccn5bRrszj0R+w+RHiKfQBeVG0E6b2efWovF4JFyM2ijjXp5jIMhvnQ2AzYcDNEG0W2AzaFwKABDuWuY0a7BJOqftYiNGndHpKV8+kqp/d3jwJz22MRmu/GbFk3yqLQo1+UYnSfBlKJICqiXlVtwJd6cQMewxVCpdNESLrXk6+vS4LfmuZE5HfS1l9QnQIQoMeAmHvMKuAHuTU4cRStMZoAOlAGvhRT4Pj2ximXlgFGen9dYAlzl0ylS5uLmECmALQq1An+dIVL55wqIb4Hwsc9MnwvAZiQZ+zHApqvPAVixxL3NSOxzb41pf7dHld+TXt6g+vPehts+3jKM27p/wBCtNtMShN3Lp3PPOliPZ2nqc4syboExrefxda3X+XsjxK9NcW9d296k9Pp+9N731nASMvyB+8EbarO2D8r6KjuYL8h+j3yuuZERRrf1G/mdzHPTmvuyvonNVboO31zFbl+rEGP6ve10AUbCm8dCR+U7lKeiA9j0dGMtO7rtQPjPWK6Y/efziDwCrBmVI3Z479xHhlQ9MqfOLfNjAsUc/BgAcPbab8+lttfa/RkFbnJfmvuAno6VNuCQbsk6W7/zHLgB+B7gliTndA0ZYkrXKY5HkePmhrQNe04dKTRupadZ2zVwBEjwqJWmgQ7w/Ue9Zo+FZklpj6eWm0CbNmBTAyLlIS+ATYu5Qp2P57cBkF5/5KK1k2OHMWtiWzJ3TQ9IsrywAtB5yKZp7/i4Qb6nYI4sHjUgIhWTlD0FK+fsiOId6Z9WkjpuXrJvOLCwpQ0IPdPpuQgbe6YZ88YAXG8Fb7Ri5rGkmtUjjUwvgJv42/3kxOPzS+8ou3/0XgQCSUJB2Fly4P1s7nU7dob8oihFNvcEGAl0vzKA6bej403nV2AKxE0ubJtbACJL8ctFj9qrcumEAM62od/tSh5P/VXbM9vuf510mHf7NsBG63Suz7VzoNs3Q4cDrfVlAJg5YNBzGQdp+ueZbd/Irmid08+HYyeR5XqNgBsbPB9bZ/bOEx6wfEwCOGP3b2RTKPu0t1Ho/RboATbWhrt3P2xQ6haP/IjzR16/MU9Of9wxVo3Nj+usEUMMnIbz08yDwMARfg6tt/Rd/Ty35mBhv2cbIQUiOneCTk6852SzNlviHHZuka2pW7hYtut7G7Bp6OEHOP16fTjaziP03d7acUt7LeEbeH1cX39kbh7SH71hV4Bvr4+962qpf1e/l9V7bfSjJZq9J/uxB9yUfuzrlh7LkK/VgNYl91eUQtSl1XuvnY06MTH9fg+4aRdIsatJ2c7buh0rvyYdJ+noadqIPYxtc+u3U6ZMmTJlypQpU6ZMmTJlypQpU94VOcy00dT5ckyxWMBy2ACKZaMR/NsrRXH6vDymPAzBDtdyiVUT21vBQ6Fyf5K32EL6R2jzI9KnxwO3eDAsRtRo+33peCM7ZXMtqqOuvGB5Pvdo7j1p0a7jZzpHsmAKJbnQ5Ih1k3PdpAuEcE0MHBZGBWJqlXa4B9rqi9VvTcUU3j+GNEuUu7BtaGx7FaX22D9teiJQoc6qTLVdBhyoc9sANtpd2Dax7+kZ2ctt00W9j7Bt1PAgM8fb+XQYuq8YRkNtuwUyRIp+l4YxwqoxEP6e7NLpKy8GeWNlGGmU8XxfUvosG4thU82F0OeL2Zdef46wa3rSLF8b6jG2xm391uxLIzxqtG+17udrxZp/k9sWjD3pMeN0a6FTMTaPIwwb3o6U28p6jh7XfbyVBcyPaxZECN48rypnb6yz9vo6JiPPm7y+9rY2vKNd1lZfeozZcozedTEYaih/T0wVXekknh4KGzMxK+t1VdoIrruOFLZNbjt7xOmcDWaIcR4CsVXlelnG2mDbqOelz7LRNq2splbGSWPaE1uvjDBFKju6wWBvPWe3StcGe7BPu6XbRnKatZkT/WsfFYv9ADTsPyN8iPrSZWvccb/EdQyWnr7+kXlpv0v1fkUzjkafcR2GVLP3dHtcynl7uqVpnzOdVdh7+3sAMY4qAsBgKBm5ZoSerez+2I9xMdIouHbYkmw79nGf8cIurccp2kJpL7PfoRg+e/e2x5CSchC0oafixqTDAhQhqRcKGsBub9iiYG86aCK9CIcCaLOxVpsObujXC4e9kNxk1Bs3xzLkrXPtuGWgXqjra5WL3K7kqxwKYvzX9O+Sz9X3W8ekSiUvlUcrh4I+NiKaPqnb4FRrUrA61p1y3QBAcCHmuAm8NPhqhCOxcZhx8vv95TGspc+yFHcxSo8mJ96PlZfzfrAMuAkutAzeA8nJaDPO2u0CRiOhQ5WwBcACU8x8OhS2NZoguF5kqL+7IVIAxEI83GaRNrir9KfqW/zDBkkelXRYAjbt/vC+aGdALxTqnQJp6s9yzap1ug2yh2C8Hwdud9vpEvtUCz8W7y+YngSUfuv16wC4tEc5vxVwuUUqGr6iuI/+VtxvA6yh8/k9at+bK+T7VJ751maq28+mLVE/h4EBoWVt0k6FWjgF/6jsAzj83NxRdrCs32ItVhsLAO312wy/6wM31E++uaL+WsUFdF9KIk26JkkvvFnfMxuwkfI4wKYHPu8BNrfmGBuVYVtxZ8wWGH1UH1jXau0B+HfHQPcjslInmyBaPdYGMG+sSSN68yjgshei1AZi9sW+rxKQpe81cGPtU/i7ysGb+h1u6RTZB96O1i3lGdCAEP+bvpM2xT1lwM1ccpZjk+nYMvZ+yoa+81iPkYs1n9ax0RLgtr3eNISCx/EQqbY83sKZMmXKlClTpkyZMmXKlClTpkyZcrc8oHoUZ9kUilCrUtS9LBuLddJi2RQvkQcoYahg1eg+SSq99sxW6PNBpGyf8lgzaFrVAOpjxQst2mDsJ9W43ceGO7TvveffFdQ0J4rNnq0FLQ8h0b1bHrxWtwUt/CDjJrfTYdyUoRG6ujGUvIRL5T5QdakQ4JRXjdMQbbp1u78V9T2DurIUN2fbxP7QF3WI0pFEYLyPsS9jZcBB1aQ4ZZAhz/vjb2Vyb6Dde5Lb3vNmtKVbYjyLur5A2wfaFqwewBrvbgJkk4qqTmkyL3ylSwDNsIn9ajFbgOMsG4txYupzalsxfojtQ21LPd721D6KodFj1vBjt5Uvp7WUH9tPJt5fO4z1m7WXQ0GdVcGOe6Sl59Wk+t5CdBuQe8MYjjI/jpzfZ9S2bJmBqm0AeIiiDsmNv4//7j3bt7Cv+LWJecMZoVJP1/LIkBb9/FfrOJDXcjPsSc1vSF/q9VuEVqVr7rNt4jUrRnGL+QPdH2rL5+9b4c1xkGNhUXF+pK4ksRiJbWnbtG1GuC23hq8e+f51SGt8x8KeWmwbax533tPmHkBKZdOzOde6I9vn/B4pm4S/86Zd12Hf1ON5PXJkb2n9Ruq0mu0yWvCFM25uZ9vE8/Ra68RazVk19X5T6pKiW46ybYqsta4UOkGH9vvqWeu2Z+xBiiz1HgTl/ZD7n9H9R6ttgEKk4rjY/OrqueLB799X025ScgNoc7B09k6lqFsAm9vz15zuNvJvos4fUNSHSjZWi7t8aATllz84joetkZABOCLGQ5XbvJZD1G62flIcNwd0DKM/ysqodxywaBlox/Mn8PNa4I0uJ6uNvhwuRe1RuBSnV2eFodpQoVK9flfjSwqKUyGlsqYTqVQ5DOBEjmc0LKn0Zb8MOFWTqkpxZyO0nv+9GNdKsbmlHZqlx31ziBRA+Q4qMIWFSFHbNKnjVZ1sEKq8J+Wh7JUbPwZE0e8NwEacxUNKpUFv6U/6m59ni9R1VuW/EDwQrgaosKAObT03QCNbd99j4DcN9R0gXoe/lO/05jz1UYyRL/hH4r9fr8h3Vxrt+rxRadGjxeeDGzpLxEYa9Ubr3nG05diG9p0Rrc+LnQFwfaPXb3ouWWgWyJYqV+uFTnE5eh+1Ma3X8XgMGWThNkcIl2rNiuPxav0+yTU9bWwkcAPs5bgRtowFIqU1hodK9Suv1JR+S4fbc1bnknwEYNMKCbT7UNrWx3ohrL3jj5DRTSs/3zzetP2B2520IwANP6fhoGWpK+IBeq95f1r2OQNyOo7WPeD2npxXsQ+P05/W82SF45TjbVC2ne9FXpcDJPUeYA+4AUS4VrYL62qz7fewruKUnS4H3gFLB9epE6ywT33941VtKzBlWKz5vTNEqiUM6MmHDgBGXO5IRJw+M8AmG/cEiIAzbYqxmQGQHaVstdsGbBSQwfPX8P6kkrR80Xq0kd9X1ABX1tZ45G86AA2bc4ABJOlNdRkdbyHqWkbGR5t163gBfVqLRwF1HPu3ADllkSBGjlwkao9evnRXRjw0txh9uTR4iOMKbs3Mm5E8N1o5jjBd8nkCuAFEcmJ6xpLhnIEboAAn7Fp5jI8oAy47bQAa/IRiDNTtkgK1lGb8Db+GeH5YCXD+/MvF4hagA7ktul5b1KIgFqlb2q4XCottc39eGwhjsGbXxL5ow38MsKl1o63Tr7kfpM9Lh0ouslJivOhy3f69YM2eMdBiyNhADaDXrMgg8obCKYCU7Ptaj6nxHIkEwqAmNEOOGDVar9ftlr97cr8hrY39rPd3bIcj97ZmaBRvqdhIWZul1yTc2KVE+HF9ILH6UNtY8vPORshk5/DHUT3fQVodOdeRckrQumaVi7cYs6UPxkZu4L5aGw8+rirXjQOAM+IcR32Twf+wIdtiboUL17yWlutp4CaOMYrub72Z1et3mfOyTjg+F8rwt9bpCrARaw5/TnqAzfH18J0CbF4nUKNF5CjpALvV70zdQWKvD/bvW7lp2BwIO4a/ykyX38RwHJnnupBFHoteyjBuo48AOY8Ea0b6lNsVoAR/12tQdg+4oesd2QPYInULSPeKtYTpltx4sYMlO/EgaAJdBhwYyask83UVnTpSIOWI45izbeiYBoyOgkRB6WLhNKbJZBEOR9k2PXnnNOCUKVOmTJkyZcqUKVOmTJkyZcqUYbkxp41nnljm0WZIfU2lB/o5D2zpUweZxzIja1vVH4cVvcoij/LMthF23e9976suny6YTNnz7Wo2TcPLXY/hkfT6jaGlknGjvXSRsMJCHUKMw47HHPvlwsKK+LWil0jTsHthU6JfnXt5i6cuhyOlV8nBI4ZLsTZTnhvOMuFhTNxDMVJVivrKvXVlzAl1VgiwE/1BQoRd+m3NbjkarlWOlTFa6HNkgXgT7e4LPa88FIx5OhygqcI59wyLMS1U4CNtkyTU3i1ohUgB97BflLeWtSPy6BCTjjGYihgofnesdnnvSjre2nF9foBlo/R5vDjTde5UsT+KLq/7c4uHdjw0ptbvse+joVCeKRhas2j9HM0ZZIsuu12/732P5R6j58j6DYx5SDWL0mbhtfs6Quke8YICkmVj2SLNvgzOkziu16z0LjdZjL1rgc/j/jMCyDWveCi3am0LTq3fzmd2J2eh0nogqlkp9k6LeaP7fZRKbq37rZx1IowgsWaDW5HZfWz9zowcvXarezeau6BZUcpYA8pkkHea3ov8BbT9WKS2awHrGRnVkyM2LWCFOlvvaUtv67/fLTnCrrE+t3LW9K8rbfSSaqIvt87XI0M1bXtW2ky8PYvpbl3v3RbBlDP3GyjfM7YNHYvCmSEyz2X8R8/ZyP0s80t6tqp6mHWgzbahcRDbBpD3sSd1Fa9VMqyMEKla6lCtMdlh+3eFs6VIXlOIFGDa4keZVTeU/FYGpwBIjhmcu601ARtpAGd6OehlOZq/5j4jf49K3d6c1JslMz8QYsiTAGiMRVbTo61x9OZ/ZMz2S3FKfeUGhKGkKEwHQDFKkAwMPe5r+pJvZEpumCIyESKN0aJkaop9T242+rKCQrlHKc9NHGvI19DATZ7DwU1K7msOCdKGH/WlADc0JheQSpaTAcj7cXsZ8CilP7ltlOdZ0AbFgtULkbLbpz7GAyoxmJlr5jhdUYp8/vaTEqtFoVLaR9qu2wcYSATkB3E0RGoo9IOD8Uqfi9MagLF1fa4TJQh/TXqQNkwFsCn6vAA2fAPghJ63+rQvtxrfAAwdT2OyQbFyf1IZbb6G7oJi+6CAZQS76tlp33d77vbms705sYxWE/il+yr07di6NRyDP0hfj+KN51XfV7n+cqCirc/791Dcq93cBNb9Mjbpu88J22zBAzghODZut6Xnt6E3mD6nDQIHZnS4HgdxdN+sECq90dsTe7z0HcQaTscCTgW4ASJ4EwKC2xgwf62BmzQeCdwAMszR3qiWz2r9Np0E7DsNygLyXHOO2g7LMdkDbPTmxgZsrLZvdZhacgvQ+Yg2LIdt63xLX42C07bcMR4HtOyAewGdWv9Ju0cAxgff8b129+SWNux3t4yJ7xFk6JCHtJULqMnBGxvs2utn0Tt5/bQcurnTSa8om5SAYGtfMiItvUb7gXg9tr9l9nuR/T2ItXbztoCy/9DkgYeGSKW+67yaccErex2A23xH7f4ix5k2HFgA3xzsV/LQ0pugkG+uZdgXg4EAm7Jhd8XA7+SvsYzfo4BN7qOhpO3+73tbOUgTx1PyN7Ri10Xfd72w7Q34iPTQTL0hKGwTCepohlEBbrgxyBlGPA+OfNZ0IkTe7kgixNEFkl5orZhzDgTBkjDy3LAExdQXDdzwebslOXE5BtgoNz0j9JzVwInOJr8X3yoX2rW+v26JRq9ih9S5bWjurHY4cNPLb3PQsDAXi0HJgBxbUM0kyLcElLOxsHbGqlY1xED4i3h5Hokyqi19Xhvf1H/7+n29SIBNkC/EsD7vAza1N4gN2wTeZd+r87oGuVXhjzrSWntaeSZuW6MsI3gPTNO/PSp2HhQubP0m/cgAxqLPz0U/dHRkT7RnOgRLb6j+E0AjbAwvNqUhXKDXbweXdO0J3FNpy+g9tGymzvq7o6Nbwr+3nv2SH61mbcKpIhCGlHWMPvPG+Ym6X/o6sr+99dGq5KKdNqWQQOkHZ87y9bsAN+QA8BVwE4fgFXADyHVNAjocnLQTiKZzNXCT9blaM81no50wnp8zJj37FmjlsrD1mmz7HrCd5Ci4sGdjHWnjcQDB2F6pd61HJvPldis/VsujgZ3H3p+9848+c1pvSns8vpv2+231T4IUNXAD3MS66Tl0LbtPOEg2oXNHgBvpDOFja0txqnq1B9kXOZ+tvUGvcWvcAN//FFnVd/w3B565ri2+L/fBmFOmTJkyZcqUKVOmTJkyZcqUKVNeixwOjyKWjc1sKd6ElucQ2EfROIqvvZcheOGho7440fYK6XW16KC3ofs2fV56aUfy1VQVrlgIVGsueT9HKrUcRedjP+zvRSb9xjX20PccFiW8had07eK5ixfjzBvNRrrmqwGrETYV54sjw1bIFEdpb6GkVjTrNEgrz02gf5nXseQBOKF4MlaBtMd2xkKULJQ7I+ucmqiYP5mBcwPS3epTmR9iiBDiX0KWeA4ETlXcvycSURdouyvX4yFSAGe/vNMhUvH6uc0KaT/SNrUP6PAvACA6ZgwbZLrFlE4OhAbLxtLnfal1I//crBTFypHKHDYAsGLJn6X+brFrWmIzbNrMIOt3RWovT5uFtKfPy+e9Obd1U1tf7+nyI15afb3Sfo8VwtlKFDpK7y2SapdevluEmDXOrUMsm/61CiOssGw2oXdcqqDU9pTLe3z8Xcond73j+wyk9vMivMc8LAoA5aSLuoyt364XGmMJD49jfYDsA7FlS7/r32j2DBer4kztyaf3r7znXq/fOVTKg/LcUEVIzrbJ/dll29jSXb9R3pGsqwXbJva+XKxti2t24pjYOtFiF0pReVk6Nvg9Nsfjw3ce1c7xd7G3ht1i098iki1tHxtZE++9L/w6r+f+2L+9h3VTrgeIsM/A58xibahQKZNxP862EXkssYi9Se5fjnKgTtt7gEOhQxXLcQXfhwBkn5P9aa9Hek90jH2TO9MPkVK28V0hUqC9QLHPwUKkAKg2y371SLs3JCKmcsY0+w52+M7rA2xKPp0IekiDiAM2j8tfY4M1AAewRvPugOUBqvPUjIYh2H0f2bTcouRHNj/W5qCmXtNnvuktQE7exJPCyTH09BsCcWiu69w3vPwof3l1yJQF3tDn5jwooIfGtJfnxlXHYknwUk6UQj9i/0lpx673X2pt5MrkZ8zw4wqTEisy5XhPGfAyFwVQyfMvYlmX/H2lzPKYLbDKoitqscAU1l5LWlTzEXELRIgUAAFMqVwzN0tqpwUQ7QM0B9rJcqs+t423Zl6v/Gyk95on5GX63LlzbvsWwKZnZHJQ3QqBGgVpivTzMLWScOo1qWWwj4LMVr+PxKb3RIDFXCfmOWOPvcgdQkAHcu4vHVo90n7VD2dTuC3Apn9fa4m6jOXsYn2PQ+E2UD/XUtvpcmzOj8gtz4tedySII9fvPJ+sX+25tTYqgAgPKBcvwp0kuY2y9ghbw3gO9GZCjrnYHQtOaRyXdK1Tcrggr1c8LwLP5befnLiW4fU7vzcKvKku2LfFZZ9GpAfY7OvAFii9p8964axcHgUM3CtHNnvi846ztQfujiQnbvWrO2/5eWYAq5PnV3siAcbXAOzHkuzau5C6Jh/n73Lef7C5yOsgB2/0O0R7x3hu7bwdt1P1/JuAcBe4oYMlMbH1vJp2xtC9Lza7tQc4PsYbQqSAPOa63QNJifU8via5IaeNXjkXSLABsFD9+JP2jdCGsvbcyHwH6RgHPtRi4NzZNIxvWbzyQiVuSBusabKBGNC14NRdXI8ucu8GGm9dXxt9/Fg+xwRzgOjJU8+BAFk4iEPGa0paKnLfJKUWSh6MnPOGs2Iqr5YFFvTHyo2r+F28fjTc6BqXogBDRmLi78OWgZs4ZhpvLzFZu1/c8CvHuOGHNAcJMCEkGMDjKkoZXoRsaEYWRWHbWCCDAkFMabFtCDhBUaBmPh0rOdjtMppvJo85940b9BowGVgA2FxKMRb2DE5Z19HHpT7Ppw3qc9FsBY4AnH0o8nrltlf2t9Tnli631hvRB2vjYejzVjLhvtSGc8vQ5vqcH+utlz2jfVcOPNq3AAHmhkrlCInn8uPndOIm31PAfOZ6InWwN/tk5Teh8/m/+1KqVIA210a/603qUt3jW++tBiZG5RagTudg4GsQ38AFtR7r/tVgqdXyBus9K5vG1exPleuIjaMF3Ojx6b6VZ5We00u9hoJ011IAHZRztH0zoiut9ZvGbuaiOGjT3VYpygay+4BNzSKU42/bsqPP6S2sjhGbbk/usaN74MwoMGO1vxxdE/LF2r/zCnQBLJBG3n8O6or3zABUX5e0AAQuve+t8e4C3ga4yIHkoPYbcn3sAQ1bAVWg9wAjNnI5j9o9Nve2XtMVpfQanPu6swfpV5OSbd/Cton94W0xW7uZIHhcX8t2Rue1XTl3tN3Xu5OfMmXKlClTpkyZMmXKlClTpkyZcpMcZtqY5b0zcl7Hr+a/b2TZWPkOciiAYNmQF+F8GN3f61P5LL1L2uNghUIRw+ZYCXIAyitiIfGjrKHD3tk7hLNp9DGgjcLbmdVt5g1VaKJjLh/jYXPXOM8Z2i35BgIPPdMxnpBo/S2MGxESACSPnUcIl4KaM5oksW3i8RIn38om3+sX99bR/ND4BYWbsZjyNQPuLgNu9wcontgUsmSwfMbK8LVLgJvtw4gxtSS3O+LB4N+n32mkPbkVdLnxx+LkNRvHqlo1Wv6bX1frc84eoM8j0qLTZ30q5o3y1+zp82NMBSsUpujqvgdZrwMm++ggq6b1mxHm0AgdvvR9O8CwGL+ubIQuUB/njAyabwqFpWM8tET0Z2f9jk34SicKpqdai/a88zbNPb5K3HPIQ3jbfS731Hp3bGbVsXvgsj4ep4MfakMzUNkarb2sdf4bwGTfNNhQUi1bldeobab/M2u2ZszqdswwcdR2B/cKW+t3WdsZs7JaL4uHN7dzA9uGxkje+KqilHkBblsCo+W9ewyFno603jf+eTQtwQhD0uqP9bklrXtwD3tGXKeja4+yanSfFnNd2W/riPB5XFW/grLLPCx2Rcwd1mPrxfM6z9oDWDg99sMRFo5l3+fzBll8PTZ++lHzeSa7W7BTDjDuoxQ7tWb51Lqqzpcl5Ujbe3uQ2tZus1BG2P6l7YEQKcvoyHp85P1ph0iJVBDVPqcVWTD+zh5ORGyX95bCjZRRcMQu7X2FyHcgctggAzbOnfA68tf06PMiFArlQafkhDQ/GawRG5G4Iarnqb8Z2QOdxujVNxrnA8KNx2ZftKHLjBSh4DogTrPEdlYCSSsSeJN/u0ImpIoAjgM9MzQO2Tf6uyWW0Rf/pomhcZ9RwKZrBdwAqBIcRrkvObG1MMAtmTLo0gqyXwZ8X+Q9i4qNzwmnKlLpcQAM1FjLwrGrQGUYVrVYGTGmFMZU2gOshGS3iC5b3Ms/MxYWpkCZBA6Vdsq1rWOmNBbjIkcSn3eaaRj65bgHL5mcx5D14Fm07Sr9eczoD0HnSOvp81rkuHv5feqNS6uvt4I0lQHZ7PNBEOCezQt/7Bx7F4NxLItnb4EE70b7xo3nmzdznY2CBgMAWsJscLd1vzlQQ8fief3Qh26/85pz/5puPVPVdfm6KKjve+t3vWY5be+pPDVl3dBAK1Ct32kz0kpUnPuzA9zwPlr5mIAzYrl3sHUs5Ses1kvg6GaL99lev0t4ng3c1A5UDRjSvOn5saUGNPcBGzufEz+vAncObFhs23xMjgA2tzg6965/C0Bjfd+1RQ84tKrfuhU65KklKwdeUn/uAXLYlzeJpcOtNnrgZHVNwxkwbAcrvSKvaefA1HZs0Rd2jpso9oa/HmexJSUgXOsqCdxQv0kflufLWnvp/R6a97wH4TedAze87dtsk7x+azCFhUjRMR0iRb8/6igeFvX+ULt7Yz0I2jhAJB4G9rPTd/qsAJsiJUGllXQ4KyYG2OwtFCP9EX3iYEz6zFlAcfGmPrLEqkDVR9qE1H0E+EbEMtxbfW8tKq8TlNmTvbabnl/C/5SxUnnL8vcMoEkGDa9gEXBJ3zvwpLdUdSp7KLMiO4NwnthO/kllzLXHro2+okx5PgcRI6qAGwAsx41n4wZ4IjA9P7v9yYYfa5vHevKcL8FDVJQCynUUiDTSdhf1TvlY4rhCAVQUoFG3dZxtE9tYQMi3CZzsAhqWpGcoASotkUARa+OmNlX7FoOILUhxc7PHtmkDCUelD9gwgwCQferqyvEcNlbC4bY+v6g+63vYBrHk/IzladgDnLQOHd3kyTEck1YbVq4Er+Ynb9pdYX1YBmtLnz9CHp0j4cgmyfz94P2+JVcFn3+xEXrQJnbku9igPLeb/0bdb742Um4Y4X1Xa1X5jX6v6fcL4M7m+q37SH0TY4UBQgmwDgK4ide+iI1A6ZQXm6Hcj0GmbEv0pqf0b+y+9wDl2EcJpvLjdo5Jq13bEcnb6oEYWlqJ4+u2rb601zETXDkA0uzZPa1rPgqkuQeY2ZPmtQd8Wgt73zxf1vWG3QB/92RPv2mWC29b/94GbtrPkGTLSGBat637NJL4XO8NNNO33H+W40Y4EqRNSb+xgJt2RceGdMDoWwAsOwnyKFN0n+1fxmxV5xoVGwirRRddkSAMr2CbB85y6dxavfYxVtOUKVOmTJkyZcqUKVOmTJkyZcqUh8rhnDZ1DhnJssnndVA47YmVx1Rp706lKM6y6aH7h/rDPK6cCVTR51n/jufYqcOgNDtphFnzbrJqbhGrvxX7xkDorfj5VtgUAIT0u8i4KR69kO9fyXMTfweIXDco4VKtyhTtMXJPXWE6SG8dQ60Z2yaPsaoodcp94Sj/0fjWgvRLpDuzXVyswiVYGjvVpIbRdtZ2oZYvrJ0gUGgAovxf7aHkbBuJeNM87oVIFdj/PuS7GitK3h7OJOIyXqKbe6QBzug5Hn7VbkPexyPlvVXbij1psmy0DOjzR7Bsuvo8sSZ5f1osUovJ2erTqD6/hWGjx/lIaVUk4cd5hZEqVMfIdaP1eUt6Y3lUjos922Cvj3v3p3e/ewybvUowC5aK7XSrHKb8C28zo8nzNXxn/c7H1bPD15ISAl1XL5F5sCJLMR6/7K7fPQ85z7/A1/DYb+kRjxJDnQOu1fpCfTOZrYb33hIx14q5JsPH0jyI31n6yr6+1W8SybKx83yV67Ry50j9SH3ak1YeqjYj0pZ91sqRuemfM6rTbw1/ep0Mmz0p7HRZsbMlizJLfMsc0eaLlWpk0M7kLL9yeYvlp5gRTWFMZeN32ha3xMpzw/uRr2PmmpHvQPytrCiFvCew7dVme+m3LVYgRbn07MiQ7HMxxgbLR7OORB85Ez4xL+9J0VBdn/QkRXRYDJjdnJqj7H4awwE5yLY/XvIbgJXoDBhTxlyacbI7gIjLZZytheJewKb0SeZDKOFQse9beUBz/PCa5ybnZOjQ+/UC11vYHg3QHEleuCf39K0VN19O4Oey+Hm6NyK3ACntZGy4BTn8IStWniQ6JiuOJZP5y1bCpXjeqFzybsfYrY2+qFDrBGSQwE0+rpMTXwVwk9voLBZVnyoKuDKE0xy63H4aM0tMfJgWmedKh0hFMCUqT+qfHRr1SKmSIFtSbdxHJD07eTG0lXYZn1pgK6V9A2CkyppLMdpjfW8BNlaYR09qUASo6Km87Uov2vrcAj56gI2l0/f1Oa0zUYeX9mKflrzmlO/2gK2j+vwWo8QyPPd0u27bMooJGBgJkWq1YYXDWmOsSnSrcyxqPf2ut37b/dI6WerzFkC5C9IMvK8j66SHPzzn9cZ2f22XoMtt4A39VoxrYP2uzlP5jmiddfDwKSedlTQzhA0IGygPW2/9Hs1zI6n89Xppr98MkA6+YYT3yve2xbJ5Clij8sXBwQa9gVa4kK0/LD1en7//vLRzObWE6wI7HGpP99Tj3AfM98Gz5vc7zlT++x5Y0+3DuwjWaOF90flvJKgrnzEB9nMHZQv8zW203xH9bFrrBgdjW30s4UqtZ4s/k6UtDULvAv0KfC3Xa69Ven2rQJis54yxq+dLj5ODRRJgpn1UcQryPQBPkwC0QaseYGQmbGf7gbbQM9d2Gst5G0hKbArfV46JBQSWQiisD51y4/Hrvo67DbqaMmXKlClTpkyZMmXKlClTpkyZ8lrlONOmSd07zmwpnyVN/Z5KUS10vdcXHRJlljVU4VqxDaoMdWJtrljcqespdsYxOl6ufTu6fpRFc0siR0mJO+bZPXTuDn2S0Gs5hogmFw8cksdui99RGXm3oFSYiqFSpclSWYraqUKUOp4y06PMUWpFTaQqV82KUolu3UqS3GqTjlteh3JCGmMwqjqhpg3GcQN7Jfh427Lyhb5XgCiNxzO6J4TfSgrHUXeNqAvPQp5zTtfkXgTg0SFSeWxpLJkBI10VD5LaS5QTHwO5vT6TSSZJPMKyEd6gpnfWeubsSid7+vxWlo1IOkz6XLDMClMytnk2+8M92a0+tvp5n14fY9Xs6nOlUyMrxvagj7Bq2qyWsbFanmRRidDV1Or6PgP1+m211dbnvL13ivVq6c9b5pzP19B6vu/SrPo1dn7fc569qnwtUawTCn8OAZnhVipGXpRXeIse/xCq9VsnJ7aYsntsm9xHzrahRozknBRaEEUyh+hadN4tbBuaC8622ZcxpgKa7027qt6e7rbWk5YcYdnY89bXyXtr2sizPloAhK5lseaOsvhGKzq9V0QzDvRnmhMeMsVZN60qtHuMTLqO/p6/O3Sdmklns23q5yyep1kv97JtLBaf9W5z29s+Dti2Mhc61nqnF6XHyJ70rG9Sp9Z9MZ571Ou43bdkt5EeESyf2+xxwUhspWdohEgV4fsNqL9VJEFqpzD3DcpnJWP7jePVoxqGNv3dE067LJ9lvoP4wnqIHDYA9ipFjVINeV+4sZePMcAm0OY+sFLeN4BI8rjs470GYQ8wab0ge/SroXYHFChAhkndx2GDfiB2PrcD/XyVd2XBqVCoqa8hVpMKdK8zeJEAg8oYUwZa7uOg0cUUh84an99pq6IUA2xujZMXi1RSymZp0hCrSeUNfwZRVtSUwdtK4eV5SO3FcRewiIeKFTlOVzTbxkCIFIDjVZ3kgt/KN1M1Q0BK1Z5W4Oz6+fltlxUfFa7LS9/Hx90GbHiVEaYrKjB7XJ/v5bBpgfA+RMBW6/P4bOvQ1lK5Km4YJcXfKb3OZdSgb8mIXta61Br/rmjc7vbH57CMGl0V1TgUY1sf40LPYA5/E7KAqv9wvZnbbIRztKq+9OToGnv8/PueAzPsYAfMOyp7m7B0IJ0rQ6ec07nrohPGp7/jdS9l/QqbrIKYAY7Yh8XKC9fZbNXhSIPrN6P7F+EOl1L9hAM31M6IyM3PCu4DqG3NUbtY6vHcxwZgM6K7bwFsLNBdnNd8Hg2QRoHrok93ADTyesfyU7WAhtepWx4h9/av0ueQ+bnkOylt/nyNnfV/pJ8CwBFhWrLiqwYI5fXL/oKPjTsXes+O1i10rTYgbAFJyL+r1zJ781/fg06uzco+7xsJvXFb956D4DWYwscB2HuMfl5NCZLfGiKFfI2b7ZbhRsb3G8cTEStlLY93+sQAG27YF28oTWpJSjeadHgUsOl553jfyODLfQqU5PRUPNWJTUPeWN2fejFTC8odYM2ed9X2yBrHbmDYcNEJqIB6/i3j0AJyRsavy8qyC9bXhzeNvuKxY/0LALFu4rHIvKHfRbHy3NjKyO57P7lhqxR4PNczgxPi90fi5KUik4qTrhnHyNguIc5Pzm2D0l/pLRgDjPZKgEsgZS85GAmBRx22DWhsElgBUIAiM850DP2W41hYO9R2BIlk6W/2/aMkAW67eW3iydAMG3mpYyB8EZXgVwjXhXfqc6XzdJs+XNnG41rpc7iVbcjj+mKxJHUfe5uRR7Ewjuj49n2oxdIRtedvPFdWt62d5Mp7SXer5JUGSGMbScnxw2yKbKBm/dB/xsr9LrbOXn9jS/UmJHf/QXnkxlhH+8+DC3IORp+Do894qwABAHMdz/dUASDEvKFxxf+nNRvm+k1rmw+xrcWdKqx+ZLN1aP0OpXdFJFPWygcxvobqYzS/rnIO8nO5WPpZOi0BO4G8BNt7tm/s0f2AzegmqNX2yHpyRN+N5CMbBWxIxgD79jmPSk4O2H0/CixaYunEzLpRAGn5TQ38imveCORY4I3umyVyHgp4U+mHHdaNZs3RdeK10QCE+TtRzi12Ox9vXPP0fWvpEc3yMcEixrYp4673AtTX3rraX5vK3Op2j+bVFG3zea4AIhpQnQR5zEZv7GvcUlg9AJoRBQf2Gw/eMUyZMmXKlClTpkyZMmXKlClTpkx5hNwQHnWMSt+mzzPkUKHqhNrz0tlHKov0+mGFRHmizYty48VbHPPWrMnrJitXEYWe+lD3kaGcwrt3O7Omx6ppedpG2TdHpIek8s8a7R2lZrfbbeS96YVMZdZNZNwAKP/vlnTP6XoUSuFRSh0ClOdmAeUwSqcblGu7352KFCLk0RfGCwrqHc/NtJr0e0ZhPxInryjWoh0KIQKQQ5Z4jKm40n429/ZclIuZ+XQaVPOHhUjtUSYPUBbb7YTm59wMbqyaZTF6lIcCoHls57XZ805aYrE7enR66mO5brvyn9V+K7Zd6/UQrsJzK1iTXI8qfV7y1xSmTUuXv86Q1t4YxTi7YWG2cDaF8GY22DdHpMWmtOZmr+QtEMfCvbD5HKXrJfvh+HpW3dt8zyUDbek8m7ztVknuVs6Ze9bgkbW+d33zvd9h36TGdmXvnagrmNnsWe6Z5Ws4ELWFZM3SH/Fdl930AM7wuDIddzJtE2rXqjxzKLzAfA7oWsxDz9ocZcry3Bj2PR5jK/J+mbkcG3qgZYsfYdnshbbKz3X7RVphjfZadiuLsPVMj9o8t77rWp/UNr+9nowyL+v26rEW/VuzZB4tlj5vhUyZv++wb8x7ZYTe0vvber/ke+rB2TbUzkNy3LjWeL041y4D3mhTzK9ktUhZlH1OTPGahaL3IFabNlNQ7qNMBgw4m5DLfnoGyUa05lExYBoi7/drLP89IDeV/NaG69CiIDrPaMuh5IsBEkCSjSZWOlssElIZHwNsmEFfLVJXtPPXlHCoeMyO4W3FxcfvR3MbtEGaejzyHNtg21H6NzxY0cBgnxXFz4wxzpt+I467k2dh2ADk75x1PZULiqjWxfBb2I/TM5mVVjQQnYtUaxoHT2hJ4xk2vDRwk/t9BsXrU38dQtUfZLo/L8M4sFBQH5NS1oYoKU4AJb8No/MhOIAZnSMiF4p+iJQTulPTFVvgGA+Ros96sUiLUL4Wz4Egw5ZqymL6fVcYcCIAFSkSOGEglBpjN68Nk3vy2tiAcnucfZ3TD4uK123n/8rHG+1bepC3p+n9FWBD9zvr8/38NXwjz+VWXd4aCx+T/nskb0/rmq56foDQ2Jjfuqno6vOsF49teHh/WkBIbpu9n1GnnfPnKPE90ut3XqN26cj7dkZv/mKy3D7Idk+ocmvDK76zno2g3/mG3TIC5KjfHM1jZ+Wu44BGGoRa108oeW5WAJfci5izqgA3cY2+IIc5A0C45jWYjy821S9jG/tJzxXE+l3lagC/L3z9kmsotbnn/ODrN78XDuU+Wv2V/Y79qZ/Zlg7n7wAHNJnta6wlvL+iD833QT7L/LzaoSDbttawIyBST44C8x6yzPXeuVpawEwvNFJ/vgW0KeDMVX3WNsKKrQOE3DP2PYmOymOhptrpowEWy/HbAm7yvAq9od5lsu8NPWI6TRrATbGXuU7hc8bDLqVu4scsnVL6QaHDYEARb78tpR0rBFY+H2LOxbqtU1FQv/mcW6FZEjAa3Yvk6zsA+jnS5bhzmyPXjvuaYSdS3jTuJUCWclNOm1sM/PKZLQqBKkWxTUzOM9DKDdNQMjvt04LAF4PSn2s6p3hjo8eVHqaSoHLJTJtj+Q5GlP6eN04vZNb4quOmx2IzjnGpN1yWiLkPdW4MAnYkoNM2DMX1RJ4Wnqdk3/CzEhaTwiCPXTwvzlmV4DD3qzwPVpw8jyXVrJtRwytKrTTBQLGY5waxmlQ6SDlmorKXbZex7W+KCLgpv2fjygdTnqnUn5zfRsXy38y2QWyvxH7SnIfXxrZ5p6TkzVkA52UVKaA8OA8T1Y4Qe95Gjdm2XtEGVNvY7+nz2wCb0g+Zkyz2gxLbw62Q+cjOVf6aZTmZHtpbGJJ71Xx6xjb/jQSmaEzenH/Tk8WMqcIe0OyU2wEb3pZsIzdKAxLnHblmCHEDJHLccJaeeH5PccPhzkwv+upeuuyEsZwudR6bYwYhX7M3ASTSd+VZvW/ei9hrPwdU9fd6/XZuyQBN1M3qPeBgQes6hjrTQM6oE0av43wNB4DgPLy/ZucL9SiulXGdqj3SCbihvlYAC3vuOhtK/f60Nj3UdpSir3gyf+HwgZzfvedObH52lhKtR8R3JoBDYjMktS1H/RGfb7TPqU9auL6u31sDtDGBN/v5e1TOKZJRQGIEoGkBvdbxHsOLxL4vBtCl9jf5OAE2zD7n81rlI3uHZOTeWrlsyokQ33HgJn6un88CtEK+yx1buLLTBYhRbOOmfd67x4LtUvTNiG2eAazM8GH6NxS2DQBV1YnNV4Nt02qP67qyp7JsykewbWgOad6lfS4Wgq4cYNtwJ/hQO3298bGx85kyZcqUKVOmTJkyZcqUKVOmTPkWJjfktBkTmxWiynsjIFJYA3JuAVB4lF2Zqfx9G4rfzHcAQFcV4flrile2pmTe45m1PLItivwINd72vDLkjthN+nj8QbevaUDsdI68O0BQjdmcKBYOZ9Vwb56II+f0QuERpG4cY9yI6xhoercqBYBenDx57Gh6rPhWu5/SW0e/j0j3GUT3joi7R3AriBXmwobgVlA5cN42R7pvYb5oJLrKNfMw1LtTRQooYUvQdMUWm4i3X65feUlcndG9tKV0nKAsjjJ8FhyNZR3Pa6Ou7Ra0wrDEtQPyvAb2Aox6Ri26umbZSG+e9npa1Ub6bTbHw1g2Wj/yUs9FtxJ7otbnJadNHdr6qLDWFqtmrApQix3KdHvW6Yy5B8rbpKpTuOIZpHG3ntVRqj0PNQqBrYuacZMeO/LCLoPevz2pPaen9KdmINSsrntCJrjQXPn8HBZvOT2vNXuqH9qW+3qQ2dyzufizktfevHYztkKQjIp4PfvdFd5ia81z/M/jzNk0qOpaCMCyUF6aKyjXnAeQ89SxBTvmWCK2DWBVhDxanUQyZrWnmo7xNV6+47Edstcg2DbynHa7VgjkSP8txp54VoRYYa2yP621xGIR7tnn4jrVO9pi4d9mg49IKz9X6f/4nOvris8NhmXL/s/nVmtNa10uwtlT/Ji0z4HMamJMbs7I4/e5x6q7ZX7sc44zokZyaIl3rUqnwN5xxYrh4VIW414zQgXz03qPnXqmVOjlXmU6GQGwz6zh+w957VXpRf0eh2ZIT0uH6WclqPaoDZ5Xk+MFt1awPSRxw2UcHn/P6bzDTNrGfHI5Hh41sChYQEOzvDdCUvicup6MfLE4HFuM+L9D+Q7ixUFlxl2i0NOYOZ26HLs9d80eBdJW3vL7GqDhBjzKbwLfcOd4IdShZvubxurasXHEtCehun58/tNmMYFeGsghw1DnWqgM/zgA6gg7t5UvwTb6uOIYSXBIPxyLky/giVBQnedWvtwlRj5wOh9OcOEqAAtnKOsjZcAzhZMBW0XKAuKCR+DczxBEiFRpuwWmtMdbbSg5mEKGh6lERwEULTuAio4zPQBUV9IBVGSSYDWWCigC9sbKy5ff1NVBANw6VlOz24CNbMemtO/1owXCU6nnqqz7QX3e0+OthXhUn/Pj9Wfjt401FPl7CdaUMZ/E3Jf5aIeg7bVdvpN6Is6ZzhVzyoYja1x8zuDNwCOrQw2cW4VhTW3z8Fc+nmqT2djo6XtOuSn2jC8v1usNev2WtseVHbvk86r7SLqR38MOqGA7JUjflefThWsG9PLpQYLj9B6HZIfR/PD+xZ+xzYfa2Mjf8D7xDYy9Ga7BEJa3zgyTO6G7fpNdxNasHJpkOF2oDz3J66fjziovgJs4Rrqu3hwZCcCNZ3UEuElHmv3WOlo/k23AprZxHbPjbJCks5Z0nI97OVh0u3tpCe4p9tE7Zw+8OdJOy1Gr14s9EF/2Qe8Dyh6A2+chLHl9jJLscMC0z3kYLc15CF6GVDacrPfKKFDTA9e4WDm0KlOvAm74e2y0DV/pEfGONsKGKl3H+sLt+7gnqPUN/dsvAw60QqRa+w8OPFOeRieeq/KdbnsY2BBjZWM7FCI10I4BrluFUES+XcR15Ja8NnUHCOzU7SBN2Ph+4+ZExLcJGZtFUUWlsJZBGYambncIMFLtVPkOwhUBASElowMAnaDylvw1PYXRY9VoRdwDnGzjfTMVc+y7qzZL9jwOKDsLwXexnw6oNxMhpvoFABdceqvL/c7evSA98QTiiDnnSkcbbujPPSUv4+iuhapH0QkOgYBLipMvOZBin2h07Th5btzV/ZLfacUSj6XrYSlJerNnAOAVpY4CGS1lViPskW0T56IY+LWKKWyXfeS7w7aJnWFJibUSHUHY5fXlArqYcaYVuAmgThB8XLLnoJlv5pFS2gF0W2XjQCMc1ed13gNdKYpdO19Tv9eljyP6HKh1ZFsnXiVgI3KjcdZmAWwWxrQB7I273lSVv8f1ef17G8SxwR39jhT9F/8pyfqjtFhN9sZKG6EtwzQED6qsmA4Ajif/jgBDZDxckYGb+EXpsADcZZJhK4FlLzeENrZNUM2wgyxnS0taSUWtqi46h420Pa75WKxYaeTTI8cREIH6ph1UG9507fIsx17GZyo+59FBcYYz311U1+U5V3gCTytnAv83G+DM43pk/bbAjHyOcsCE4OFR1mSe16g0kapGBm4zXaGdHHrtJtlzQAjnQ/YWL7mfdWJPAs34RhigvHAa3GpJC0Q+KjZgU9vjFmBTn6+vK/Wabq8G37U+Ls8Wt8N5n46yIks/jrM2Rplird8cyVUjv6vzDskNfNmcRz3LznWmGmzuAWzgMF1b9bfS8aIB+mecYSfbff33p1vIRO0NeOEQfR8FcG04b+NhO2eV9R5LnRKvV/KElnaL+Hz+I9hlui+3sG0ApffF9XZA2uyIJF1ZbFkrn854Ts0dlv9OxElp444qUgPt9K42ZcqUKVOmTJkyZcqUKVOmTJky5T0mh5g2e8QdGy1mtGqiVgXuzV4SSld7CblHac8rWyPTjXwH5NliZb3Js1WzbEqbstLIMXS/RZ235kv3vXjkuGdiy+dwVo0z8u7wOc19bzJtgDaO1/C8sv7zY47dd5fRZ5/m/YpAz4AjRs0KHVNP9yDo+NmgPDKDIVM9RJ0zcDxiLPziTsyDd46gu6BMXhNjg1/SjpMfYduUvwuaT33MKHcea4jMlxSqBEBUkxJVmRq0yKofbA7kF0sJkaI5SJQ+zvI5RIvs0BUFAwYp55Wg/JNY3mFC0HvvpIF8AxCls5uUxcIm6UtqIz/P+95Qk+XTvDb1Bbglr82ItBggUazSsJItqeWIPtd9aDEnzcpJwjPb1+eaLdmKwddeIe05Jd1t63jDs7oTCkDtx/N5n2oWaotRY82x5bm3womQmAlZr2MBcInsj4plIZkQ2puYGpZsm3hRaDq7VUa25ZHj7El5/DZflGZ6cOHVUGwWUp3DxvpMx/R1KKQN6h0hhpjFNhB9Z6yOXjuFxWH3qTdG7TG2zrfyq+j1OwQZUlHWKBl+IlhDgkmk1nEHLOA56SLLq7BlabyXioFADAK+Xh5hyvLvy9/0ez2HPEcErSNlPSlsBs5cGysDzvuiRetpS3+Wk7nXvLBsOAPa0ptW25aus2zcVuUqaw/A9wY93b0nFoNjNzzL0p2NkKkWQ2SEZVO1m58vGnPN5Hr9sq9jrWfVYtzF43J+dLhST0bzf9G1Rp8LXkpcMDg7bBveH2u9syrTHcn3ItfB0q+qIl3FdmGhnyh90SFuvF9lDDJEio85M91R7NXSD3begb2AmBs+Z7nvnNlLc3w/k0iw1HQ4lk6TwNiPR7guNzEhd86/qeS32U4DsBHUPgRQ4uF4rVMGbjTVkdMwD7XNFoQq6TCjdgvAJlPkzyLh8LJQcuTj+Wus2FXdz4pGHa7GZiRS/gOby2jgrVgc77u1wMqNEp/DptE3IC2DLYgH2+fP/D4QLdtl8Cw+E57C1AIBaAs8NlDYFICUIE1utpoATCf+uEpUrBa9BSdRTpTG7FNzOkQpAg28O8eTE1eLnIplRVa41LTPiYkdbRhYYmKrBN9Q22pRkPGxTJElwFDSFUvpwygjdEW6P226ouP3GFyJyo2d3U4nRIqOgZKePbbkpy0LeMm/AqYoMKhahMfAIgE8DcioPi/H+nNkPVtH9XnVftPIN4AjF3VElFUANpY+t0JbW5uP8rlfxjl+vorj1rVGdDD1WR2trtED5UeMp2r9dtIQjeNYBMDT2ti31hIe80+f84bYMLbra3eA+I7cZDipfhzdhO1uLByQQ2rjwdxXfl613gHsfap/Y4+hDxpam0e4uv8mWKU35OyzlQsnrk112JzYoDB6v16z5BrKQDu2hlvrdwRyzohOAB5KZa+XR5wuvH+99bt2UrSekWNlwMf0qGWz1QnNa9DQykWW2u0ANq1+tOxzfR1rzdCATS8tgdyE6r7YeWX2RAMPvWu2fm+JeKYNh6revI+EzN0iPR05liC63z4Pl6nbvn3+WueM5M0q7Redkn+jgZt40fR9//3Oe6Eq1cD+/eFroh5z3COVfuQ9AQejRTimblODxO2+5LbA57WAhnQ9DuT0khLr9vTa33w/4KAt2hKWJfcqvT2H1Al1iNRt+wDLSdzZ0zjKC1Ta4XuAkbw2t73dU6ZMmTJlypQpU6ZMmTJlypQpU16rHGPa3ETDS+gZIewIDE2PlGBiicRjx72ygPQo1F7PwrLh3gqeeBiAKAPLkfwRZF/2xU5QaVGms0eWh3DBl2uwMuQLtWlUBml5JuR3RV4H04b/bVa/SgwNSoYY2y3MG0oMnS6A4DZQ2FTs8xkOPjNuaBxVlamDjJuKtp+OlXKiAJUU9fx0jrC7ckywbdK1RimD3KMnEOQABE6vZtWkipfGA4Eyzh3HYy0mEKd688RgFJol6YpjbBCrvfIZbC4LIi2rLY1cfS9JGPei0PPpwJP39st/j4j0SghmUp7L25KRDbWd7k2d+Lh4ZCyxvZOSZSM9uHpObL00KiPMSbvayQK+lmjW5Ig+b7FsWuFQ8vPVZAPV0qvoNMaiGTmnNSYtmRGZ1xo2JvasBJyUPgfsSmxthk/FtiFd1wgLUD9m37VLyVpJg/V7ywNnLCaV6G/jPPmbmpkmmhf6fIm6unr/aoaUxZraC+Xr9m2nypn4nWJCyJCf4jWn50Tq8421RRdMTODAQwJO9vqd52o/VMpkzKb12/toTywuhk954fkm/bFfeWWPKWsL9RfMG0/fbeyc4sUu45RlwLnss1dtsWwzaZ8j9ZeuzfWHrTvNd1yz9rjOMOxzS7gtq9eSwrhpJ4xvifX86z4fuV45dz88SjMKjuxv9DVa7R65lpY9VtIoI8mSfXbQeHgUl959k4lw+5W/NDNrv1odlM5o2EyGHkmdYn1rV3TSeq0OvVzr9hkDJevPtO6O7j8q25WxB6kyX7HPibkCcObiKLOobl/NFdmYjKF+GxYx3InSTqf897H3jDOdWDuAiiTYl5uqR2mxF4NkVOfvAtv4pQG4YmTLBfkYWMMXH74gyEpRm5joCNTEmHFeQYQDNnuGkt0fuShkcEaFQgGxgkQNLMmKVnArYh6DE/giSpT/PQMPwPACZxq7SqxKHj2jUC7Y9iIe54EqWrBqGogU5xzuEK4IlHcoXX/BCVWVKcqN49hC2YltrXIjmLGssSIKATfl6wXARWxkBHBD12vEt9r90dTpGGNKmePjOUl5Um4b0CJB9DtuaEPNxQ4t0qBlSpAjVjmJYFs65I7TFaUcyeiuKZmpf48WltcmNkMTcAycij9eMJLXBmgARqawhZXmt0txPpbXppkTI4ucB67LpS4ygIXG81BvIK22Oa2/bn9Un49S6nkJZ/pe6m4d2qr7KDdCuj9WnpIe0L4HNi3GfHclA88USsJCW3f0Of9uVEY2TABy3hMAWZ+zi0Dn9zkybioz7lnoQRxbfa+1fXNULGCtOqcD1uln1blFrNW74xVGfxyDBVo1q6Gp39eAT8p/xM6N6tquLifKiAcP7SRbjKpjcY2Wm93i4Gg4X0IJL4y/Teu3tYli47EdLF4ca61p0ulSdFQzR0TeILH5UdemeT3kWFPzboHevPpo7Hxte8c2+3Zmq12dp5G+twHtdu4cC2wfASyt55r6Zc9T/fv9TW7bprSvWefg2vsd9UHb57311B3I+RGU3VWvf+VzD+yOx9qAy5HcMiPXa907ve7KHDIFvLEAWP3e5Wp1DeAmnocMrvD1n76znLelQbLrd4AbQOoOdiyOidvnPgM3VT94WNdOu2I+Muic2gIgbLPsVKV25TVHqmbt5tQUBymUSMt+RSdrfDyfZo2h3LffqPdztYzb/A8CbWKjlsHqi4c3bKBcLOWlrI18kjHU3DYgC2CjACO3MGVWABvh9WEGtTaSR/LXWLkOioHv1THWx7BlsGZxZ0BsPCgZIT+2DyxZyr5laIwKnSnmnXuumOFPx/a81C6QB/eKkFhPIVySwip5iHzwCaDwIPZNcN5MWLyg5KLJY1TeOzkHnSRkeYwFuIljjP2MjC0+B0syYhNomFg3MhFbvWDUfZKbSN4vSkwcwZt0fiobS7lt6Dyd2KtvNLRLgIt8Oohsm8Ic4Wj7uNQeDpkcjNB8WW7cVm71AkQKXMaYVko0LwoLMnOoVY4v3d/7RLYj89qk7822xsCio3ltuLQ3qK0SwfwZtgAJeU7vedegNj8e+9MzCLme3NfnRwEbAdAkMJn6SPqd63OeH4L6VtouYBI/JubJWHP2jHcJ+hwsfetY3qcM2PSBnPzbDgjTA3is9ZuLBrGWRglsDdYcWs9C3xGhwbmeWDYD/6772QDi6Dxr/b75Xru4SVvAxqPuNSDXb5IQtvR7X/2Ws82AdI52aMAjeGKH0jiiA4acLwCiemSOl3TBPC98rZAGuOEd76zfdf+4bBmsLx5qzsjZLyxgrW28P3bC4gLcxN8AtH5J5sBtbJs8thZQ6hbUrPfWebbUa4edj6xIvW70bNwRBuEuEGmcuze23j5g9F60zhsBZPR73tY1tyVp1UzLcrz8vRhsW2lLnUx9eqwf3LZQOWZgPV/17+JvF6Gn8nFE5o3F4rN+n4Ebfp2K8b2IYwRa8/xUEjRhewEGKrX6YB2nfgSLbUPXFnrkqL6IOk8KZ/tzMMWXY6A5pT4cW5P5noOPIfaHJyUGA6dkOyP7q7ajeGAfUIkFFjWuz/cb+bepLceP23Lv7mPKlClTpkyZMmXKlClTpkyZMmXKa5C7mTZt7xNRLwvbJSLlJTzKQtOtnCz7berQIyqJXSowZZZNVSnqhBrJH89hs1f6NX8O11S+G0Aue13CgTjDhsrUAhCVT3o0Ue6FPUqbvMVjY6Hd3FubPXkMAbbYN3LOSgw63CmHTSExVoh1I0Km4EFVppZ8LJbqtmLle/Gt3apSGUU/gZ5pwqEDoCpK0T2lH0e0PYBXViqIcA/lL3+n6wnEPx2neaWQJXjwUtwWNrvnqet6NQgpVrGfPEQqHQIPkaKxtGUnRIoumnPp8Ps3xkKRQucbnozEVuEMGJnZXbFiBtvQLJh7WDHDknL1HG2nZk4COofMvhzT55YX1GIvlusV/cdZLPWxfohrxSigvxUzsLBqrkzHX7I+JylVEftsTtlPm2HRY2lwfa6ZKaNSlWPN+qRm38TxlrnSXtUgztvqalNh3xNf2uTjjzqdWBJRl7fXshb7JLTYdvn72BcfWPUvuueq381cRA3m1F6I8pH73WPq7EmwdLsrcwNAUMGLt/okGFdAucf5PWWezviOLPCgueT5+qgtD6SQYxqD9/T8M/OUrX2acaOlH9IQ2Tbl2Dn1oVQVpbVReOmVt5ifM7p+2/mfuJBFUdYy8lgf8VZr5o7WoZnJqNimnPlO/bbyyoy1y21fKzRLyp7uLues3Xmw9Lhm2Owx5nKfDH3aY/mMpBdoXn/nHbfWrqa+uLEcMtf3QsfnSoIbwBnsmaGXfkO6dYfJ1BMersp/r5nwdQ4tYzyt74x9QO89lhdF0SsGiy8Hloh3vQ5RspjKezZyzbSPZnFJm8D1la9YKEj3DOy3+yFSSzlXhEgBRV8pRk7wOMJG5+PvpmZIaRnKgPQe4F6xmEVo7Df291DDbVQVcvtyM2gjlKOiPIb0wMRyzhQ+kcAaxw2dlRk4bUOl2W5afLiRxQERhGKgtZMO60XhGGBj0b0LfR4oOVsKDTfmr9lSPyjvSQFrCEwqfV/yceoPB2nyeYbBaiqincVlKKmaVqwGxU8b/wTkBHh4ZQAFKvu9FIMyhk1d4SkUKgE4Dlfw3DcxYfE5gjeAoFvnkrma3piO9UKl2sANSTQsCbgBUBLlhk1skZ0DfEA2RHVyw96CwemBvMxgpkVmGnfKb5MAlNgfShJZFH1ZtAYMzjQHVVnUpKxl2NJjlGgZd+prpmCigCmoy43H3/QWvgIKWQu+VVrwoeIWPD6vTa+NNihVtdfR50VaNN0aOLGSqu62y4Ahi04vadNqgwGWv6ahz0do4xZgI0NkruzYJR1L+pyF/rqkzyvHAAPgRwH3Fi0+f+6AUXRdLRxsoesHtl62gBwAFTgff1tv8j17xyi0Jl1MXLNev+U77HBO7ZxKiIgjiru1vrWTSuexGhvH4uTx4n7r9bvM0cr0ef3Mlc+p9DyMe9vpvz63fN++33v3ml+fz8Ho/Rahc0Bex2kNp995f0WgtS2t3z6ksCgGcAb/Kq3fvthm6f85kEN5bkaSiubvusBNnBmEa17f4u84cJN+tpMPYmT9Fo4X1hc7DCD1jc2GDrM4GiJV6XNjHapt35Y9XLdZ62tmnwvQXYZF8XYFwN8A228BbKw1xioNreeCf9dLOaB/05JRXaXbrMI/UQM3pY1Gjp2GbS7lXNa/9Ex6+Gi3YwPcScylh1c6pNju5Vito3tAy2IYYN4yg7ITVNvI/JRiw0oA1ed3KP6WCp603ydxvKFXYm5NsDYB+bxvxabNax81wPtTl8bOx9WehOfT4UBvOYHW5SW3fxxo0ELPLFSIFFByzfBQUmbLN8bYa0c6PKXk0t/xBHBHcU+K/c/GkvYRdl4bYC9vz157QP/ZH7X572famLGPBNiwqi/ulBSKNPK1cIOn2aYy7nm+AwHYUHZmBti0klTytvse2ZEqIiW2Oxv3oeRmiQ/sCSXBMCoDf6lAGwnU6HlyqBe0EeDJEr0QmEpTiTb8qe+WMRjcJox9AnFcKGh62TAtcIGSCV6Z4VcUbpxrD4TUB+dzrhvvS18clhIrHzudNxAW6+bm5MQhGbqqeoYEWIoyG13sK5DBSYSd8tuEcI35bYCc34Znkqf5PeKdrTvF2Daxcxks6inRfaCoE2cKIGeQb2R1r2U/MVlB8otngdp5TBWpRpu6nfygsH6IRReoGUULekwhLbKddEwBNtVvyDOr+m8DJwWw2RPb82l7ZluATdHVDIRv6PP9/tj5ayx9HgRoQ/r8DOkUOGWAhsBjaxM/Crjv6fOWp9cyms3NvYj7L7pYX8OKubZYGzwhOgE4AVtmXiyJPZPzAYA2zCk3UNLn8ev4nAdX7k1Pb+6B0S2xWAkhXCK4ICr+nMWaXJwt9C8rGlABObc7VSxPuzVOLtZGCKjvdxxvAe6ANpjTcsTkzdGyZOcVsW/gF0TmzQogvTtAWb/pWcEmgLp47JrX7jy+htNFzEV3/U7XT8BNHH8x4MtGTwI3dEwDN3ze2kLPS+lLtbmB1ofGO4yS2FO8m8w2ps91Lhf+rhaARjpRbemCJsoehvjMbV8NQhTAZoRN3pOefU7H9sZm7QE0WFPp5j0bbocR2WPQ0G8X41ytK8bZPvZ5Xo8rPztL+p6DXZtYCzKT3gJyxPq9mqB5/K7W0TlpvLb3hFcUVTvlNA5i1L/ROW56wnWPBm6KPY4MpIjnMRTnaVUoRPWn1bY1Pufi+hk4yJHtWeRjtAfI85Ftc1t/yfYWobPieCgpMbdJ6drHbeQMgOe540AbXVvtAwwGDJfb2DCo2xmS43ltAPlIljHt9mzKlClTpkyZMmXKlClTpkyZMmXKe0luYtpotM+mXka2TUGLKca/pkBiB93n7XCvr/SEMoQvxz4m1EtQ1ZVnllMyb2TZyPw116qUN3lmM1q/PMEp5g/lrVkq9s+KlfW79FMya271wo7Ikd9qNNzy2HJ0npg3mna9JWYSR3t9WAC/gPLdADS/K0K4wOfcNxG7jPRqn8ZwAqiUqELbW0j7zRWlgJRDhGLnt9QrxlhgdOuRMuB57rinL6Pe5M1I4+WeP3ggOBA9Mp/HKZcNr3T+PiPfpW2NfFMlqUeFSBUhFozOF0LtI1M0j1IW9ySzVfLAifrJH3LNfGlJYcS8K3ltDrRTs1v63knuHeXHrb/7UudfsMJlZLWRYxX1WsJZNpw5SVWihL4RrAtbnzt3OsS8eBSrRs7T2Pc03lGGpZUzoSobiyXrdgCZdePdkh8nyjsWQmGW+uSt0iENwfmsy6u+38l6s9k3kj3LJTOlUr65eKyEMC/LuWJROcVI49c6IqPsmr3vRthWQGv9ttmzFrPKLUt+d+Lfke1aQp6XvH7naovBA4vUrDnUWXvKO2ybsfUbyGybdExXdeIecn6N0Yos2YOsPOXkIZeea0s8CmNVrt+t87kU+7zYyIVBKp/TKDXbpSXdd4ex4OvzWNl3oSel7t4LieL96KUr0P21mDJyX3J/rkj7vPrd12GTmlnDz+W/F993bK7W/bNYRys0C2YB5ZkJ8FgFI2+pmTdJH/ts6yTGupO5SnjIktFhU1bG2jFZNw22jfisdUDj2JA+VXqkMEcB0ilBMS2yLkG5hqVHuqFaXJeh2OL8/aVjdUhPCbMs54/asFrW+Fu3CPu85JohPVCe37sq4DXYKaWC7TGx9HEz95hgwLCIhWGGJZeyF8ifDzB6bs9pY9LXaULjRocvCiWXjaYJ9pVhbq9Be8t06lxqkmIy12zMUa6Y+F8/0Vn8rg3YVAmG0cpfw5LvhaDKeJ8FfZ7aLlR62+jjc3Q0rv2dkqOGIIE4mnbtQnyhPDy8v+Rzc6IqnxQ4iG69wOWEh5Qk1AMMTFnAjL/4Y+pQBm5iO3yuR5MTJ8MUC4Bzaj9dJ2wpXIArm7oMeGxntIwoNyxljCkot006MbgIpvRiTG8SrkQz71Pm0ykbKlLqvTwEjThTIAMlcbHbsBf/KeeRty3z2tC51XiwwA7TulPcgtee16aS9qLAAQr+uXstoNLl/Psj+rwFwov8aKo9DtjURv6YPo/XtkF4nYSW56+JhlhAK6k96ZYC2MS1ZxXrjtwQPAJwv40C3L/fh9YR1r5HzB0TGH1egPPcVowN5TDWaM5QGHW6tNpM5r7Do7VZsfTobmiUNqRY+wEnOPTvNwE23MlCYI3OqfToNfqoAczP5fNyO5CT1uW8gYk24RaucCnMzYdLAWyM9bvYcAHwr3KYM4Ac6hxBz36CYjnOkfUbyKYwy3HDc80I4Ia1q0Ocj6zf9eZghR0iVUtIm7DW5tfU6/kYTRjv51rrzwYgb/anEYqkj5Eer9pxte62AJsFBRDgY+0BNr33vpc7pwJT2DtdXce65+pd0s8nB4KsPDVWGNQeUHPEnrPOtXSqVtfpx/E7ZlL41OeAzQRYWrnTjE7IfhrhVEsAODiUf6feb339YuvJdnJfGsANzXsGo/j9Zu3KOU37FWF3S+KB+Q537PKsR/K+urSVTX4DTKHcLzEPEANQFACs9Ze0kVmIVPo9AR05jC5PCU+TkGz2gVQQeqyxbbkXyOPFlr6kRn2lu8kBtN8uA9ca4BBJHtsNTmINFInvBm39w6BNWwGWRYGzbEpHmLI2BjoC1tDDLg3+VCmqmy+meMXkomAlWesDNrxtXkkEUPlrsufGwS3PQJ5YgOU7YMYdeWPJ4NNGH/VZ9/NRxp9eCHtytM1dQ5DiQZkHjxv5S0pOvKVExTxhMffcUdwtwgLyiOfKP408N7IaCSmJNuumZfhR24sjtP0kTgnJGCz3UFaU4uj3nuEnjrH+ZMQdJddMVPAekW1Dv7I3M11jU7VTG5dLAYrysbh4aGV9e5xp7lQGiOJnBpDxneAhWVAZyqrqklCqYkF6jBSvCCDy2lB7wjMC9r3q+w4wtO+ZkCB8EQ7I8M3oUn1/kz5XgE0eDjP0Y79bRv6YPo9t2yC8TjrMdTq/ZkufSxD+nA3znHAe6PbxVn2+D7Y9RkbeW56DgCe99UlXrqQb02PL54P0eQgs6bACArXQ2pU3EI6ABcvRI5MN7617iztFQMKVtYmcP9b9zus3ecsZy8pKRNyTo/f0dT0DI0AOX8PLZ+VddQu8v5j3W67f16i/wlWsKPHb4s3Wa3cvQfGR4gJlTaff8rmtK8Hcsn7nzQ7fPAqWD/2K2dScZdt0flggPGPZ5KYK8536Q05Uq9+WcBYL34xy0NusFMXs8dw2pO62im1Y7cd/bZYkP0e3v5c7p5U3sjUf7U12L2nw41g1dznf1HXqKnkRNOF98OXL0segvkvf65xaPtuRm91vyzDR7Pj0LlX5bgzgBtWGv4Ce9HfOdalYNxZoGMeo3nFygpIOS3uCsh8oNkeUokc8rnGdMVmEY/uADKiAngUNpnBNKnWYE/bjMVClVKUi3R1Q8pNxm1ztOWDn5OL7jWYVKQA5Z21uD3gsw5+1OeAk7ksrT2ctIudkp0dTpkyZMmXKlClTpkyZMmXKlClT3mNyW04bQTncGLpdQjJ4iW+gIIYtz+xum8wrWxC4Ut6bezAsTyjljOlVFumVutZIPmfZyPwqlL+mUKk5nRqAyF1DHlii0BP6LhH+perboTwzu1TbY2EgG/Yzre/1T6D2jD7JSw4S2spDpohunfPXMLp1yCh4pFsH2HluSssRBeceu/hPP8eNVZGCPK7eXxO6rqVmEZRwJmA8Xp1+W3vqMl0RS3bV8RLgubuc6v2AEKl40Yh8R5ScQpmCgU33qzlpL0JG8+neBJ+cGqzkd/pbhmP1GD3jyLeQFNf6qLw2QLr/zgtGz6OE3wdT2HNT6/Mxr/0RxpTFsqH2yzErLMryjvYr/8Vj+yybWp8bzEnuScLS1OecVcEZk5oteS9L8ggr8l4ZCs3S77NFnXcpPBULfKoctOIUiQ0sZKqwLuSzYt3flnAvqvnd7nhKCC09p4vyBvbW78WdBWPAqjij56xVTYXknbznwLH1GwAoVIEzqwI8FpxFXqNlWTJjNh6z1++A9N5l3XARbJt4XsyJxMuBx3Nt++RIRUh+LOfkEOvJBstTTev3ETapDEHoCW+jvX7L6yR9HrxcBzKLRLI6NHuxJXZfdThUIx9ZYgJYqQH2Smt7tlboyjw284cN2diDkE6xUhLEc2t2zQirRktPB+yxbEakVxXrdQpnRND7xUPYYhhx6mO6H/R9K6phj32Tw4kcu6eh5EyjdAr8/bbyGoln0wqXYmFcmc2J8lxWoVJ6H7Cc4P216KUc/lhXpiPGPdLVeV97ekQy4AszNbdF10qVnHneMV0Br9emZgnyeRXfofDtOaNbh5fexbRX7eR+G3uAkf0GIJ+FKjw1Me5hMvuRfx+vNVKtFuCsoXhP6Lf7cgy0ae4p4qLAc9rIEt8A0E4oNkKlL11Q4VHBA2HLGxSX4+FX9vIfT1K5n+/gmj+H8DL/JoSryF+zLE+CPh+P2blruAFo9W3EgLaMOw3KtBT8kEHbMDC0orWSWLb6LymHtGglAMeIWSdFAUDQrSm5IRmC3peNK4E3fIZI/UZjUMbJ7wE3ecwGnTLSEqPipDbjcxlQEnaxxMQNw6tFjaTvre9KUrLSrRCuyCFSaXwWyLBH6+bGro4zjUp0ySBRbictrlpZH44zFaIU3J3lvwVQJIyAcUV6SNyCI3ltgPIc39euOwYO6TnhRr7YQCtgvnNfTZryzjl1Kdrj+jxetw6J0vlr5DHaOPJ2zkP6PB67P5/JiD7fk1sM+hy+wunvhoFn/5YKALDfhnStgLzO5ftg6HOx6eIGu3G/M/BmUPG18GfLQ27sWvo8G1c7Gz3KX6SBOb0B3BPdx3hM2iNH5BZQ/sj6bX1PoXFWXiN4lNLCvsynXr+jA4zG6hVwg/QXc7xUIddt4Aaw7zdSWIN0hpR1yAolHtn0lPbl+sc3CNQfnU8n/qE3I32ROlQCNjoBcfm3bW+YbShbvIAmfK7ojrF1QwGwpQ9jjslqDWHOXL0ht8ajgSkexprPOVjowxIrHCpe63gYh0dJHL4H8L5OuQU8Jj3An32dIyaf25pbrdezjS7XiCUAWOL64v2l6G61VohL82vQO8/CYVvvc53nZpX6Icj3quS34WA0wJ23APJ31r4gD9/cB9DzW/Yvpe2oA0qxkHj+EXC5tGE4VVH0dDmHdBelZhhrp7/foLOonU3uN9J3d+83xD6gFpnXZnxsXdFVaRpyPKeNYgxwFF+wXQhEUYaOeIgHjHu5aLPEwwCQKgzFi5GhyCtFyZw2lhfhSNJhz3LV8ITDpT8x4XDMYUMsn2eCWROPnZu5a44a+HVSNhugEZ5LXeljcAOZfhz7q5FY5ZEQLx31VW0AtFjVS0jhx6aL544SRZHnDgtyPGlOdLhEAwwAFp+ANjZfHhsczlnFtICbOK6x5MQlg/wpj8bnaSugjUxMfAZHv7m3js+plgwQVR5DiXznalLKK6ErYtzGuCmKlbNt4iFipTxC6nakgkttiUX86HjkghSvU9ox41oPGtPvnhhjQ0OfZxBe/76I1uX5+DAAf7BSFGureGXH9Hlsf6v0uTTyOWAjq2dUVaEySENJaGt93mJbjMroZr2nu1vGfQvwFZ+zB75sKIlhyYER55aoy3Y2Is4tArhJFzX1uc9rfXvsLV1V5bdpfN/sZ9Ln1oZtpAIYrd+WZ90Sfo8y+KTuvU6murd+9z2z+15Hfk0+z7R+jzzLeUMjnC6JTbPAXL+Ljb9k5k3JB0FOl5QbCbRex7XW45rXf+45vyU5cfaQC+YtLQVFh4j1U+SbkRuqniOERpJ/G/SzziemrG2abUOdN4ET/b7n53aFBCPG2GyaBRel6FN+jF8XKKx38e4YAI6ZR0mwJYo+9/7abFsC7jZD7mjesRG5N9ekpet957vq9weA/ZGx8VyTj5QWeFO1r/vI1hD67NwKj0vR/cs5rum4YGHsPIADiunn6nrElNE6hINnfAzeqT2P0B3l2Y/tL/K9yXlh6DcyD+TuPkDpMOoHsW3i9Cx571ESkrNKVob+qtoROqv+rmqH+oPIuCedGaXkMN0bn93gYuwDPF53XhsANzpQqV9bfx6xX+H1Y2G3MWXKlClTpkyZMmXKlClTpkyZ8i1Obi75XUQj20B0pZBn9LYS34BEQ6UHgZDCkNC7kktA0C85km94EY5XitL5axjLBshVohb3BCvfwZJoewsWQZ8Ham/eKMPG8kZqr5zlGZFeC+nBsKQOEyr9i329giiB9H2PfbPHuqHjIvaVGChQJcJ9PJ5jWeOPI2GA2luAXFWK3bM4F5KHcG9FqSpsBOVdyPGe4Ro9XumZLrGnkm3TkkwhzPRE7glcy2gixA1BV8zf19ffC5HK4zFo3FWcKYUtMRph+U27FJ/0MKzgHs7YvgPltYlT1s7s3qZFjue1EblhWF4b/t19soCX5M4Z5LsVpAB5DzmvCzgSgjUi2TPbuV8tkaxJqc9rlk9pi/7uVf6T/RjX58UzWzxvxLLR/Wjlr9nT5xbDxqY1R4kMk319bv2+5bmxyuNa0tLneV2isYWY0yz+ZhUVm0aEvJJpMKY+z3H3jryj9TxYwr/fbqHxs9Dccqz2/Bdbwl6/m2Edhr6pw7WMsGyeN3Bn/Zbj0fcUAK7t89SaE1muXjyznHElr1u3mcMgHPOmp/A4a/3OtkFi3nivtdomvLU+SLYN97qnAYAvSN1QZ65LMtM1zV3ykHfLgItnWq7fe+FSFlPKrlw1Jq3QKFnJVTJg7gmNojaLLtdMIZmqgDMlY78oD+Vivjv6WSeWjfdUIp6zbNosQmqTwhgBmHkke6xNq+S4JRYjI4+B9GfSMyL0qcOQ0fpDzMuObmlJ1OnSHq5Lfi9N1qYl1ZrT+e1ouJWed74niJ8XwcQHABc8Nlyx4AzKo+YC2a663RJSE0+UbJvS7tJl22ShfFNhEXluStoEvm9Oe4AcjsnyxHRCpPK4DVa0DJFKx1BCpOIQo/1o6ad+OJFkBsb51O2gMGDyHkCuDUeYNUUn1vsA0W8cz2sz2IEynkY6hjImmovXwfo5CNrE/Bj0gBXKZgFP+EbGpq9zGafSK8Wc296SwnXgiX8tI79ue9/AzwYSA2xowx/CNZWUdnCZavmUjPlnIt8BLRIrC9fidGrenx5Yo+mh1FeaM23QR2qgXlw3c8Hl82yJnkMNvOmwLkEh5wYvM/7zuDq0aythMZSRtCxRQWdmYlhjCT+UOHl4wFOSRLqH/lX+Dd/+xr+PJScWxzKokQx+npg4U5yJRshy26T2juS3qQy+DCCREZCUMz/XLXWIVKPtcVkyQESqtMTPvibKoiM9QGDKyO8G8trQMWNRaIsNgtXC4UFqQxrVryMhsXVNU5/Doy5nzox89vdxAN46tpnfSd1tgzTl+1abtj7ngA3X8chgBKPOd/LX7OnzVoiMHi/frGt9rvV0C8CwjP1W2du98CiuzzlooYEpAnB0yJQ1Zi4idCZdh9OrQ6KK580Nu28k1jyM5H2p17F9gIb+1WCO5QAaCYvQQA3vuwAXscH7q1jD99Zv3mf+uWRS69tCGuixHDH8WL7/eb0pgKcGKPPGZmf95iCOzHNzBW1wqPUKuAEkWLOzfufv0J5DylEnNyf0XTvB5m5Yg5MbJlFYIINDKS8FbXyQ/rXyPLDQKm6f29IOjRrV4wKEzxvPeh4rB6qyC7me6QkHbIoTl47zsBe5PlE7j7LFbwVutB3Hw0p3i4UYYZT8d3tgf0skSFuDVXGshk4Zzc/V6Dfv+57w5L9aLKCEv/srThm4SRdJoY8FGKVQbQmQngq4U4G/fRCF90frzwhqxH8BuVfjoUw6RKqc09hHizDJdG4GiOIYK8l7gLXovwxMj4PMUVg7bklKaSvHOo7ivXa4fua6UuS1oYMsr00+NKBbRHv82aB0DCj2OV1fpn4YH1sR2rDiUA7NW3doU6ZMmTJlypQpU6ZMmTJlypQpU16j3BEe5Y2/CTkiLKgfGtUTQvEFpT1cIJIPIyG+7pTbEp5Z7iE22CBmu8wryytF8cTDAATLxrmnONocHnUyk1T2qkONMGz22DWaWSO8EpWXWVJJe2ybNsvGmt9yzBveWpeysvPQKUKFRxMVW8kNRUk/+puTGpbordvY0AIuFduG/8xKTGyJc2vl2RPe44CCepOHJwAB8VkuCYkBSkp8pDye9tTFe2kh34xNcWOIFH1Pn2U298Tq4PXLqdx4xd44RlkUCDtDv6WwsCXykNyBfkcvpWL0PEoyW2HM29QLATvWbipfCM3oaXtm49yPJTDVUlH1BWvC9sxyLzD31Fr6vPyu9K9V+U97ZrmO55TWrK8Yy2Yk6bCVQF6/M2Um2qEwpY+2PtfXq5g0Lb2udD4da+lznjw/uDO894V9QedhhePvXaatt8MD9BxxvS8Tz5d3MYRYeYjGsyKuG96pMSqbgUtcKxgTRN0jPTbqj8XYvaXSjVU0wGJWZfYXyA4pVZR4aXq9ftfvYT2e3P/Gms7Pq9bvYK/fgnG1w7ghto0sDR7LwK8gNludnJhWKgpTirKhZtsAOVRKhTtYbJuxMuBxLiOThcbd9pJb3uojbFkpdXhwvKC9vhF7kacQyLPH39t8X477bcs7VlePaodGGfp8p7w3AFP/kd4ux6/mHJIO47qbWDZad8fzj6UmqOaF6XO6Fj+Xqu/x/vVCh0YYNXuMTH0dLnreLVahJz2pEvIuivnQkxGGjVXwg5+/V3k29hXS7mZ6ZUu6YcE56xWZlFj3syQ4X4zQS+/q58QqA+7YWCkpcc2AoXepjLjsAXxu+xgLvoRI0eeSJJh0A0vP0GAK9u9vbIMz/Mp+Tu4DgivJiON5xZbfq9LVFJfGw/cbeW9Tyx7zMUqdNoEq4+Ywfm6LV/uaO2WggtRB0CZSnqSRVEKjeMysZViXfo0Z+dzQpoVIVqk6AWIB0osCV0K9NmsavVwUfAZsgn9Fg8iAzbo8y/2hRYIAmjVXG6nzHcSZsvtlZcrntGlu1FMfybjjG6MY91uDNq2QiFZohtgwVgAcr5xRlEQVu+xKPDFfKLjxr3PetMAbixZJFEiKk08n5yF6AOuCLnATj0WtnhV2mYRq8arnaWkoWUWLTAaNzG0D5Pw2B6iR1eaE9SHGrKbFg28g3ZKVqNB5gyFSmlJeAJwCBNnBReOZ8cvYeoo0trOX16bVxhGhMKN3ooJUaUc/yPcI2wWlVlrhSSUnWfpovN+3APD71O1V6G4OwFv6vPcuasBGG/l1pSg7fw0H3DkAr/X5SP4abnwHQ3fv6fMWIFGLAe7k+bhAPgeA3OCfcx4P2vAEF/WPx1Jy+Vib+AzeytwnpRVbnwtxKZdZDmdNFReYzsmbHQ1YGfc7XxbSDqiADL4WKaDmaMn2XlXHPacL5WbjG1TK3wF45kBi6zfrHQ/vExWV2Dkt4edZ7521fud3IaBbIp70ubXR4nluOICTsZRUBjxWlaIKnkAN3AAix40B3NRjHi8DXjYYsada8iZL5L8ZW3toDeXlxpFDsni/NFgnuxuCV+8F2ebMXjM36m2dXtnlAnwHMlDE1kLTFmf6nMteLhvdNgHvum9lPMUW52OtHKgDtnivT60cNFXIvFvzbzWwudeOBe7mv4PHFq7mHmZvrW2tq86tMnyM2ee5TzRvA+C8Hg+NyRJr3uj3I04AvS9Y3Fnoky1VmVuWkwCEgWv1jJMe0XauHhPvV1UGnO8HQgFKBZhC72vu+5YAFQPk6+wDtOM4gie034hOWu5giV+UEKl4nme6a9zmLLYOlRnXz5xHLP19ux1b9hjI1+/mtQEebpeXRkbTMWiJe5keWF/SJNhyI9OGLwpsUyEmSKLotxj55W+2ECUDDoiDc6zEN2/HWoBaeWxapWBlee+UzyatkBywISN/TblsluWcX14O2IwkK2zFuOtkhGTc8bKHxQvHE7QldpACfGIpaAayweWNfBHj5QvkIb4geJa7hNB5tmj6QB5oXno9bgR8np9z0/jvsW8sw48bW0vqujAWEtNmTT8l8CZAJif2WNPVTwiZZZG+FCwfuww4jZUMZjL6RG6bNJc8t01sJj77sd90v48bfUUhJEaNW1A0Xnq/gkvN1tceA1OsTtB4AKTy38ITvzuKG4TQ6cN5bVb2eWdcXFIyYiAZL7nR2wCWDECla0bmFY1nDyAqIFlpWy1YIxv87jnHWTateSzHSZ8xkE8A/fVmoreRLtffhJEFoNLnBbCRY8vMmuyZJdCmGLFH9HkPrOHGN+Ut8f7C2J3cccANdmYMMmndBxPU5cZPuCagvjDfQvAIzkd95VPbCbRZ3AnB0+a6MDEsED72U/bX0udW34lJE09IHkyl4+EicKSTDpOzIgSZdJffW2esJRywGclNJNoMNCdy/ab+SPDMdrpo5wxfz+WxCLoJzz4cwBgEctz6WA105W/4JgFlk0HXWdw1PwdAXL9D8OW9YPebvNE9nWrlucnJRNnPMki3AOnxi5qO58YL5E2vkxOXzYvfXb+l0wMgB0rObQPq65LfT5k42H5Wuhsu9DbxPHEpv6DP/ShSnJtRkn7l+tPJ+3pEim5VDO688eTXLSD4wkEApjdi7/vvlbaFJdsMSifWawmBzAJwH3i/9f3o5Y+xhOsYzvDS7Jse84SPWzPxCKzxlX6IOoOzSC1dqJ0U9F47t5Rkvmnt0/Y5t4O9YXNp8KI3tq6wd9UCSfQ947nVOCBMiYhXnJIOuQh7Iuaf9LI/gUZQnLfBcf3Rfm51wn06f8FJWGwbre8sZxXtAYhtA6a7bmHb0Bgl2wYgZjqxbeg3e9LXV4kZCL7f4AwVvqfpM+15OyNOYmAz9gDkJI5922tP73sEOC+823RcXlPq+AckQDbkNcFQU6ZMmTJlypQpU6ZMmTJlypQpU+6Rw0ybgm5TYoRI4+f0S+kxlbLnma2p9BwV3BJaR2hvRItbntncJhYT1bMqAXAvXfF6vsxMDF4pilg2FB7FWTbFo8dDh8ZColrU+S33J6LrTdp0CuHKrBp3ymwA556wLJFCXVPFRzC82sORqdqMpun9y+K5zOFjZwR3wubL/CzhKrzZzhGafs5o/h5FUnjr4qQztk2an+WcQVli2PBQKV0KnPDb7NVLpf/4c9WqJoUU45nPNTx1Ob9NCInuzejZLEQqXrOAu6OeutojWLzeifpjxJkeQ4W5R5IzfCp6H0e/BVPkOBKdEfZOXpvY9nJHXhtqbGFZ3am/jxCDwfaapVlBSnlLSliWpUOlnh2Rlj7nDJIia82qcXZ7o/rcYitY3j3Ossksgjv1OUA5GWp6O7FrAGSGDdfnIVwZU5J7f2SllUy3dsvQPeGeWurhCLusMEmuMuQmROaFz89FYd4IxkqjamAVUgaD/YAtMm+YV9rjkvQqo4CH4onWnmYk9iRV9KMKVZLBtWZPfJXnwdBTVgneXhUwzsbhzBo+vzqsQd+bxZ1AedHEvBnv5t7zIMOrFBso+MhA9Ty86ZzYVadq/U6Bc/I9IU/uSDWe5vqdeuiWishIJcG9YhEUNk2pKEXe8pH1W5cBl97TsqbXpXvZOmis30fZsqUdn49TWzxMt9y3YL7LxTbneR/1s38sNMqyz/kYAIgqrnv6XIv1jnhPOtFn/VjGGNvQLEld5U/nHxth0ZX+yHdbzw0X55aqf9bz1mOitHSILPVtrWlWn3rjKy8WsTkKeykyXBb+bsYGo/7Ewt6XlV3xGMOmzdxm7dG1jXUjn87YElyvUDhcDpXSJtiCyCrN+f7S8x1SiJQrz6AuA77fH6lPCrMHiX2vQ9Tje1V0iGaY9Bl7nLWYbQeUUuOZ7cJ+K9YClWdGXLuSktcmNVTGS/opK0D9263Y8nlebsxrI6RmwHDZb0OlY8j7AOpnGUip/Ert3rLXiPuo0QpSt4VHcco2YmhMOzRqXylaL6xOoBtDo1IYDktgxv+rjg1MoMwVU5KpyfLekXbllmfQSYdXUd6bJalMc0CABLAftztKnSfj3gSWQgDy/DzFTQejTbvcP2MhHZyv2F49bxaNO4QLwvYmUkPwKawshGRMsY1ScFumsvYo19ZccjoiJbP0ZPgBpaQoe68oVCoDNwzsAi7x1eeAiCv/7s2XpljzGNbymQwpX1CZTNG029lTotroi+ezEKl0RQpbknGmRYkeo2Fy4avhgpJvho7FvhwpZ1jGEPuYv2PgUDPfzM1iACtp8XloO27BO56MuLqwZ4sPfx50iKuUESM/H6vAAfaMGLR9azNxJC8Z9aPeZFD/0kY+G/RFD3F9zktd5z7CzmHDRQPwPq8llIOgHNv8K6bPX6bzIgBOYS+x7XPeCPEwH73e7Sbbb4Tu1ACe/VxqoCGHgaLcQysJvVUyvBVzLsJf88UZ/T1R3h0WLKn9vHUNFOJMc35BdBjwkKvSDn/+CLDRYI3sT2NeOuu3FeYhQ6aMzbYBxLVy8hy5/7yv8e/yfmQnkCMb6GVeFz1epnt6QgjRDqL1e4XPyaqBFIqClDtEhVHs5qnLoHxZv+GvxfFSfqSAGwKEy+/5D/Ici03CfhnwDDa6AvqV/Dacpk//Lk07obd+8w1nfZy1kTcRKXeDvpYAxKNtXj9Lx9Z3CxSo7PN0XZFTSdnhR3PIaPuc9CQ/Xmz+kr+GAzYFRDpXuntvDWs5UnsJhB1W057p5ffiOoUDh7mPPHyQvU8LzgjY8ppl6RY6LvtY6xFLhwgAnu1rpO7p5y0ryXllCoH4N38/6zmNa+AqN/wBVehl7chIfaE8W2nORI6brFvI/izJzPMcOgDhKpy3dHyv7DmFvpXk/MigGAeBHc553xnPK3uAeF4Nqo1LGSTZVtkJSYl71R6A9NdeXpuWvirhnEwH5ZxXpBRv3V8Y/WDgEDmNJZjyKGH7JG2LW3r4VtFJypTckIg4GfiBGflKAbYAkzHghiscnuma0LsVZfIKy6bnMejlPhDgA/PQceZFCNeUbO8kjXyG5gPtmFlgHLDRrJqWF9YnYyrHqroVzp3hlidzI8LnhzYjlqJrKSKuULWRz/PrcNDGBpY2BP9hBOrj8gwhPBXwhuLSk/duFQtxNABb8a08jjYuzMgKykLYg4tXWZyHxwbKKeI544YQcQA6KRkZhj1vHc2tC4s0+gTyvYKSKwZQJQtK6IWsQPe8dZYSLeAR/y6CKchsG7qf9Vj2wRT+mXLZ0KKwZaAjXw/hNcAONF8obRmNtBH2OtFxS/KCoNt5pNJ+3VJl27dO0Ya21LN70tLn7UUeQpdrb7A0MvcrRQGQLJtqXbGTDlv63DFwh9ofZUtyZg0Q8xD4cMk5yADA+1dNfb5ofa4S3WujOs7jwKa9o89pHNLDblcipHlmF879cgxcSnWDYmL+lDAeLrEnlV6zAPl4DYj3reRYuKY2WRJrvskNG+DkZkM4fywGggHW8P7wXDR5vkA5Ny5i/c6bTdTzTGKClAwg5OdZG84j9x4ArBx5IXj45ZL6fYVLLJrynEbHUPCvEFwEcmj9DsHnfHVAXFtXd0pOxDpPXS8hNa8CQzlrlgXS8VJ+xIAbOsg8uPnZZJVg8qTZwE2vohTNs6gIqXSo3vCMrt+l/cKq4dVZStv6+ZGASs2oXKArudZAbx+8qIBwAkX5u1/pasupKnNgaalyPCn7HOw9y82mdYNXiiIdTfY4ncePt0S800ZuSX4OF9NO2tkHZEBJ3TJRYY0lYocrba9oAR1jTqCx/iu9aazDrTFRX6rkvIyNPtR3x8Cb9JkDN/S7lp2agRvE3xFwQ2B/cGtOTLwRCJQAkgLQcMBO7kmBNttGJ0fWOd6omlS+v0C0JcMVAUDIa1mcQRrTHvjLQT7qiXDgArByzRTARl53j52idZMcD7fRCDcgx+3+ekXjbTH7xblQrB5hl5cKoQ+RByQjjpc59r5+jOwypkyZMmXKlClTpkyZMmXKlClTvmXJ8fCojHYnxMwt0DGzdHzEM7sXGpWRbkL6GGpPDBLLYzCSx8aizeewqFCqTyzuDLc8w+KesIj8NbJSFGfZ7JUI7eU6IG8sgOyRJW8sAAT/Cj5coud1fSO1fcbint2Vk2HEC9T0QizSo8xDuoqn7jl8eIUQLvA+jsVvH0Vwr4rHLs1vcMmjQh672FFYpcHNUCmiJSpa5BKWSLNO/U5sZsADPl1m8ZFt4+AyM8an6/Ls8TRnvdw21A6h35wWGTPJp9hVovjl0A3mUjTClXrIt/bUaYTdwTMqoaYs1nGmPRFVOShzfPZWsHJ8nJmSqeOMIXMY/VYuV8XokXGtnKZJYufTsdDvfgk+ysDvxLGbY1sBwPnIgkKAy+Eg7Jo5xKPVhp6bBZy+Lr4LLc9sXx/seWbFMcHQkG5y6YXtt3ukvHfpC/fMlmetVSlK50Bw+dx9fR7b1JVOIuuCyjgX1uSrisEAAG55HttYnrI+LznTznXJWqbLb9HjvP+tiiV0PmdkxLFExhAcRG417m3zocwv6fMT6dlE7feOMs5I0YyqqNfptz55o1nOFUgGgePrRmJsSqZNzQJYEntHViipaf183ug7ut/XtD4DZf3mocPUvg5zIwZVtm/EeGR4Hu9Xr5pKS+he5r6z5xUAwuKzHbJReJR7Bh9eiec1+JdsrT4hgK3fbgOxq2I/S566VlVI+lxCqdI8pzVJhzXQScS2yedW61j07Or121pbgcK2qY9Lz74MkaJOechwpvH1uxVyIJisTIeL8rYIgNKxfF3SIdqj0gqNqlmaMTSqZoqNpSpopQooTO1SIZWuT/8ui9SLK2Mk6kpRkkW6mmyVln1uhR7xvvDP2sbuseHqECPG5FA5rEZZPrfKkevvMft0XjK6vq4YJ1mdFnOtsCzy75gesdZkurfEtgEgc9woPRKcL8xQn3L75HWPKtORdScryzoX9xx7IX/EFhF54cBDpFiH0vNf5j62fDxECqkNnWeJ7POyBwhp30R5wUrx0l57RR/R+HRlw928NvHEPOfjzzO3Z/l+go7Z6RhaYkcQID1vpSpu6TRvJ4rUT4+vIHU8EXEKDSiLgQRSgNYi2J4wvgAUpbgl6mXZAFJoFI+ZtQz/1gNtJcLicdyB0+nDtRh9qaw4D4+iBaFOvncMsOEGMBn3Euh4hc2/Ao8th1uxru8zQaR1eaoSr+nEimSUFnp4MRL3xLsybznpMMqC5hdm0C8y1GvzL+H9szi+lBvIh5fRCNzeRFjKuNflGQKeZeMv9o/R65kC3wVu0nkOq0hOHEhx+6iwMwXSeTiECNrlfA0xhMl7CEM7J24zkrGRcFqfoEU6ZGVdFj+KM73mTXnI9GiGfXQBG00ZXCS9Gkt6h0uIVDzPBhuOKVGUazjkdjgtkpcW1lTafUOWAUP0zgcPntcG7G8z5v+IaMAjASr3i7QYdKLgVuJgW24FiQxx5XnPhwYBeJKmPq+M/NhORafXm2ulU0s7BjUc3KjmZbPL4sk36xbAzY3ro4BN3mCwZMNR7/F8ZCkcioUWRJDmKa856/Is5ktjINLizrk/WcczXc7XvT1dTnpczhujezOdnj9Tedmcr+WEzV2x+Zf58fP+VQ6diElsz3k8Ac+ABbimpgt4g0KldgUg52LneZCbtyWkXDoJsClvWAHpSmLkBXoDx6/F263mDnwDl+YiARwE2GSgI6/frMRs2khyBwut2zx/Et3r6plUoM2R+079h2M2UNjymHixg5VAmyWt1T6Oa3PP8rNLz7H3b0XQhkJZlmcZzKEuhVDy1FEvKdR5b/1eUIAbCmvgOW4CA7VdBlHKhsAjhnpRuIOeN2v95raD2DCiGPOtEKn4ueTYGV2/S9tl7ZeOl3Rtt8BKxF/WDHqfanCSrn9k4yc21aDQKO68Xdk1JTBK39Ox3jOqN+9WjjIzH5lTaQCSnWsBJ80UAB1dx0FrLtquLn8vWDmABd4H5eA7unZ3AE+RyH3gulVCYGzi+q38XYevG0pIaVyrorNyo1QEDMThz0BuP/j83vPy41nHp3xnlf7mIVWAyHFT7le8Hg+BDi6m1t/CK3A9kstxO+mc6NnIIuwT0s6lpMTc5glpPxHt2ksMkcrnjtviMpzIV+9nKcvN3uOstwbbaIDMMgyrBn1lHp07ha6T0jHE/VQ/bml/HvdzaIrrgdI+3GGLu0UkPG7JTYmIc/JhUOc5anifSGQ7sBfjlBYgXvWojeK3vLJV8j22wRC5bJzLBif3ehbP7LlpZMWe9Y17nr8GQAZstmzkEdDxFkJi2JAXdl1eYEkJkLMXdjnjtDzLIA31IQNL7JiDMvCVwb8nse9FuYdk8HlXPHXePUXgBh4rHVueRaPWX7AlBenDM3j3lMdZ8gg9YQ0eno0xDSDOBQFNKc9ND7gBAMpxw5MTc4A2s27S55hI3qNUlIpe3pUpKZ7YsPcMStS5vCtk9Dl3ZovcGu+92JSsN6LrvC/SUyfZNkWiMhtDhpuotF7o3+m8Nh25HcVX12Hg0N0igKHXJxYQZI2DGxTVNQ7q+CqPB2MJ1UwH49jOM2/p87Kh5IAN29wTy0YY+XEzrPU5yYg+58wUzpikRMOxT69AFaFyPp0Evu/p89WdsOIsAJoVZ6YL6038nnDj2ucYd9JvmwDpt3ARG3vvLlgSGEFMog0L4N+OuQECY4cmfZ4mM57LvI05R1mo9aYFmm2IzJsAvllKucyWU3LGIM9bnFOZ84Jv7Pi1rXttViZDYXVlp0u639v2duxnWtdiMs0X8fruhHV5nkE5AOJec0BuJYAnAxLlHi93bP7yGh5/GO8vLji58kxviGMq6/cFV3/G6p8VUCo8YyCkhwexgT2Ceyaer+AiyLIsxIaJm4RWnhu+ftO8yfX7iuAi8zZWYaHfRZAm3rMCnMScNgCZvXvrNxe+AcqfU2tiIxQ8KI9CuHH97jle+Pekzy1wXzhVlb2nwZuWSNBEAyceMhlnakfp7iMsG8Gsh63PpS7n+nxpAtwWsJLHyEAZDb5r5njNlCt/8wTr3ObmAKvlHDVZN8Z88XddgrRprWK5EvV3PfHKZgrwAtDXa0I+3nCY1MfSeujKqOO9XVQ7HrwiIFBshrxHoucfC5awCD2yoAZuYn5ImbcMrgA31SwvUW8B8ZnaAlVtK3rEh+RkCOV95Oy9HvOHRDhxw1Ke5VBAWZffL5lDrjgs82Sa77Btm1NlMN1OLZadPGI7O6H3NDgkc9u0nMR71y2f4xjyMbhqLK9zr/HYZMR8r9G/xoOgrilTpkyZMmXKlClTpkyZMmXKlCmPlJuqR0Up9MsoBUkepdML1F54FohKX2hOxOi51TNrespy6VWiBCeWTS7vndgpohysjJnlCPsey4Z7ESgfQPZaZo9sYtr4t/LxZXnCsrzA4qIXlqjzp+VJMH9O7kmg+4s7Z08s98IuWAvFGMjxlUeQeeGhTdWXArz4fnOXOM4cCnXB4l7CLxd4H49d/UtsyfPtwxM8jdu/BYQr3PIC2csDn0qLyjw3nG2j519XlIo5XNJ3DNwMrtC44X2iW3tWBpxyUizsmrEahQzxaZcQ7XnqSlUpj3hi8W7VZfj2adaaXo0AgbBHdge9z5qyWMeZ7on2BMa2fY1+U1xrhUo/IPaTM3oOZ3a/oYKUboexSF6XPLbst+VjKR5TfmyEYWPpcxEaJe459wBzz2ObsSbbkuGl3Ctctw3I9amuwmTpc2p7RJ9TPhC76t8rscYAK9alDoVq6fOVVT8hfb5m5mTR5bz09oguj+OoQ4YBqdOB6Fk9uSdsuGBNunBzJ2whskM29zLPF63/3i1ZnyNVPHSe5WTBgmVZRLU+uDNc8qmWyiBGzjAk9gLpdJofd0IIsQSuW8jTV8qsZoYSz4cnvNjtMLzsiUcMJ/LhIkq5e5+qgrH8cwhXxCpgZf0+rc+xLk84Lc+wptAjYtisYMwqtnYXL719v+m7Eemt4RSuEMMDIvOGjvXW782fICtFXuLVfWljNM+NuX5TBRm3mOs3d1R6INHMuU6Pa1pg653IbyM81/1qkPF0Wu8oVwRfWwFwbzhre3T9Lm0XjzJf06V9QBKqYzIs6rZ1SYdGxdQFcq0r7dihrZmFstOHOr/klT2nMidZYc0VVovcG9Shha3xcX3OWTa6mlW8tqrmlsKgeoxIznDfY8jp93gJ8Zkn253/jv4nzlXXbM150WdSDyCU7wSbkK0H+VxxPWstiXPieX4gbPAusr0LczLpGFxA1QUj86awn0RbDoC/ZtYdMWCIbQM0GChYBdsmHvOZvRPSPcz5bbxPFaWYHsESdR1dM1WGHSoBboRZ5hAp9p5Gdkp6zxzpazr3aLqC0gOuR+Kegr4rewCd1yb2k37fu3a8js6dAySbWcSHpubYngbYz9cjc2hy/VjGkCtIUTtZF9N1H5hnplOtdlTaIWa23JCIuN406HhZ/d3QZRX9khL7lbwyPDTquJFPbXCqWclfk4zGtEj0yntXMbOK/jmSdJgDNhsl5E3G/ebfSkl647nr+r4cDkXU+WzwuadivCfjfkUpqbq4NRqBYRHAjEXTHImF5+Ph/yIZJMLId5Fu7bFF5Qtgc2cs4Rw3Ny4eW5YTrv6MxUfDz6c539wpxsn7N6E30xJggQBuYtttqrUATxIV04xnNcqAU2LinH8hJSNrxcmTjBh9BBBSQt/AqMDZIh0FUBpKQCrrWsGV8t91G7ctFGRJLwq6iWOMm3vZt15eG/q+jJG+BKz4/tIO/6yBIsBS4McU6SOTEUuR4UuPuaaUdE015zzGOh87cP9FWASFDKhrdcOjOuNs5bLxvjbycyy3K4lpI5X+JENRDH2+B9hwfU65u3KYUAJq6uSZJWG81ucE1AC2Pl/dOW/atT6/VZfTeOrxFUOd5vfqLlhxzgb2kgCcjeeKYfdQ6HMCv5mTxIUFW1jhONWcErM7vh9fzHseN/DFyIv3z2NZznCh6NwC2qyo1m9uSxjPt87bRmPQ5Yg3AujyvU5OkuVFCoOy1+9TAm0IrFkhQbpTOMMFe7PG5Z57nst9Y8OJNkwMxFnzmlzW72sC6eT6/QpOhAGmBJ7MMZKTd7LuxvV3YP1WyUtp/V5RHDgAUi6lExwHVtPmIG6GCFhFAmplW7c6XuhvHQrKN0FHQqSo3/mzyKsBlLw27P0NAXBrrc+rcJ62za5tZHGM7PO8ntM11mwfS+ftvvDQqKx3cn7JEqJOulznp1rcSSQejscKiGMCsSosiucj4/qc6xCgrIs6DGsVYaxnAbDH80hPs1BPA2CJM2rnqloSsFAfd2w9oH/lHk1/5kEx4u8Q31E6xoGdqBOY7R8g1vmeA2B1Z7GWEIhD+4Coiy/wWPL6QrKlUEe+R3RhQXBrfvQppIqAGyCBNwaYwoGbeOCM8uPUf1f2n4sroaTx+bykPUB5VhecMFICXItzSw6RWpIe23I4YgzBKbaTB+WmzDqG8vO0bGZmI9P7I+xact7S+PIe4L68NiWsDJChPyQeOq8Nt/3vA6a4rVDWYh221ZKRUCxUhU+OyriTWMtNiYijIpSxrIDcFO7FyrY/S5YNb2fEyN/zyspFyAuDmjKN88TDAJoxs9yTEHvYN/B5RQkCbGTCwrcQ/NtxQVreDwBYl+fCMxePPVVeWDLuV3fGKSSjLxl73MgjxQ9Yi8X+S+LhWcpc7anjccHRmCJjHwCWZABG4y8eW8MZi4veuqs751w39FwF/xb89ma5ZvC5wlQ+jQM3sWP7hl+cgLwhwgIRz0qJicnIjInTIvJNmeQpv41AlbMSbVST2jH6YlIyn04sypqzbeL1xpQbKRxe1YkAE57XhrqOQAsDn+C22GAKU0ZkWKYLEvvmPqkVHjF6SrKwAJGMmPpyi5C+CT4t1rcp291mct8XwHm4UECbfBO5dGNorYWSf1e3C/QB+JZI/d1iTeq2b2fZAGjqc56HqgA2Z+GZXVgloewBvkOfk4HPEw5TXjLSDbRhdylvjdbnBNjs6fMV52zA5xlVhnyZ6fZ95Jt2PcMceOdG+hqi4b2lPm64YMMlgjcpN8u1oc+dO4EnXqZ5i+wkuaHcQgSH6LHsQacLFmwsz0XcLKWcNq7W/9p2sObJSr7JkzLH3D6KWcXy08VNXf9+n1xZwwFksGbFGStV3GJrd16/G2s3H2NPaGz8nvM8Fvl+h5TjBufG+k33+2ViWtH9jmDO5pcMWBaQrqynec1c4rPucbl5/fa4xPeWNq4uVZjy/E7S/bnkTRrli9Dr962Ol9h1SsApdWK9fiN/PqpvidFiMllB+lzr2WOguxQ+R1QgJLbD3yduo5e+rmlDut92DRJJ+zxe75zbyPp8Id2tmC07gE0cWQFsSJ9vmYF/UW0X9k4Bhwpgo3U3OU0B+d5qAJaLZaeX39UATVqx2Lid+Df227a3QiBgRgI4Ecgq3/lkB/sQBIgDyDUivsdqbwePNURAhz8D5NSlsXhchG0s++kR3CqBQ5TCITQ/ZQ6pjViVkOe2Keevub0lAJQbLYM/S8wzGQHgBS7dx5Bzd12xMts3pDk6xLYBs1HA2PbpXYqsl5DfNzjK4Xab847ACK2rnHoCotM47cGVzjimryxmv7adH+iIZHsN4ZRuyNhY2F6Dzh1yEPPrP7aC1INma8qUKVOmTJkyZcqUKVOmTJkyZcoj5abqUZxOX+JFG/SsjhCaV/5mVHryLAs6875ndk90GFak0BeP6bI81Z5ZVt7bitcdqSxCIVEABMtm87HKhE9hUcvyhHV5H9aVKkU9w3l5EUuCEpXanXByzyvq/CmcsYaz8Da0KJXx3+OMB+4l8PxehMjA0Qg8eWiB6Jm9poojnHLtQopJTh5amt/Fn7BtJ2z+o3mOpNcnd0oAtrsVpXhcafKs8XhWLGkcvngGAZ/C1krp1uzdd7dVdrI8dc5R+BWn39GYOTLs0ytit6sZMNReHLYv7eS8NkALLW55H9vjIeZdYdbovDaRhvloGWPBHPMWGIyVu6mRO9e/SegajXGlUBK7ff4vZ00e89A2afWM6WSyJPUxyDwj5fp1XjK7ehQfJ5V9lXR6Yk0+Sp/nkNccBnRlYTk8FCrmrrlVn58CVRaSLJGjuryX/4T0+spyG3B6/JKqXKyIrAti3MR5XE19fnUnwbrgwu9jzJtyLmybONj0T+kz95bz0sxLqsQX3FYYdvm84nlvPWfaK8vDKHK+FxQvvEULd+6ZKCXfut8ncGZVZNgsWHO4D1+763XsNu1p3XePJd/rhemiq1t21+/VnXENb5v3e/OvAFYJM+ZIuGJTaijnqLtj/V5Rfg9POv6UnwHyKgubE2X9pgWqrJtGHiViywLsmZT6k2zUuLZSrEVZv/nvRtchzpaNfaM1lsay8JPFODj7PZ9ywFbROlWERrkFeb0A1919NhiJzhej9TmvFkVjIX3K80sS84VXbx3be0CwbHg+Mr6G8bZLGFZ8zk/LkwhtBJAZc9zu3ktLoFk14rvEruHMGjovM21cYdgs+To7OsIxJi/oaQqI5bkL0ybqu5BZNwByCBXZ/YC0/cs1ifFQxhfg4cKW3uXEXsQKR5UImd1x9UBYtvROs2p3gUI607oTlsr0WZAYNAPhMLx8OEDsnnMO6SQ9UkJnSjjdgiWnSTgaIkUhl6WKFFK48JqZI4VtXdjEpMNGbTO+15C/TaE/nI3FGNx5r5X1z157C0oOTT1nTNgeoLAP+2yUkbCld6KCFGf18/QFmdU/GKVgX3xha5Yth0GbErLEKZDHFoHqWKaPAqQmAgJijB+jed5o5MvygWwTnnIOEN3JiVKwLKcNU9ZOLFJjSSp10mEO2FCixuBfYVleYF1e4LS+kY388/pC0KkBRFq1os6TcX/CSVExbaNeJzG8RbKydj4bg9rg59RrhwVrOGfjDyiU6yte4rrIe3sRS1AcRfBv21tcvvddpOEXD9ULJVGtHVaZlDglsqTcNnFcG5zbohKlxR3rbSFSdA5qoy+W/Ys0S59je0ucKeXTEYvgYKxm6QeFMPFQLDBFalMWj7ZTxlWuJ1QqU3DFKH1AMmK64GtORgzQgnAkbKl1wRao8lixyn5b+Wyq3x0Ebrg+l8Lj9ceM+6oN0ueQ+lyuIxwYovDWUu5Z0+dba0i88mgS+avYoDosOZcJbdgp+SzX54s75w38iD4X1PcH6HEtLb2eN/bpWSAARzgzkvG54lLpc8r5wzdm8d+thDL5a9bfBJJEg3rJYDNJDZiUEFQzGSIP27AAm0Bg9iau3cpJx58Luj6F3lEp79Wdxu43KH/RwsKj6rX7dd7vxbn8KW7IlqH1u3W/KTSGh4Br4CbAC7AlDbi7fpPQ/S45KtJGg8q++5ITkdY02nDFtuP6F8Q6NO6koDkJYn2jpMQanKR2izNlHLBRzzF/tikkIMtS6/MKwGnrcw2clJti6fPFvHZpow6NMjdwkDZ6bPsKaa8DlLJA55dcllN+3kRbjdCouNlnDgY65inh9rWydeidXpaTyEXFwXYCYE9Jd2ugZgSgSbMav2uEQZ0yqOGyhcxtkMUVYCeeV01DmuP4LwE0LgSscAiuaE4Cca4J0PXpuj6F8S/s4hlsYfeMQGAN5NAz7NKzm9fjsOS1wGEV5mO+FgPVxH3ywLIsCCxxb1yjwOztOul8AAFIpCfiM+W9z/uAkibB5xCpAv5eQSXAy3ntPIlWiJQ+r4RL6fwsG+K2nb2je3ltwNY2pndyuzl0CXF/c2NeGz0WDoDTXiPoTOxCUggp9p3gXAfaDmq+sYBhk98bsqTvzSOEb2L7Z02ZMmXKlClTpkyZMmXKlClTpkx5j8nxkt8VbHucTi+8o5oBEzxApR2djeTfFBalPLM+VY2SnrJVoPkFyWeJznbGNlIpirNsqKT0sr6BdXmREg+/wJnCoxKqT3TqeKwkLCRKJnlkLXbN6/DOceHX115aj0L3IjqkTBq4Rmok1kytB8gTuuCyyfKKm1vgtzfbbBugIPM7FSn4dZEqUQApCRlD2WN/PJxLWezzM3PJJcBzGFUnZMlsW3mEM2Ux+1CQPGlO0CIpWXAvRIpfs02vRv4ihjKB0bnpq9s8guVL6Q0MmTnULsFJ1+y1UxB2JDT9lgpSQAt1745Jdvggo+c+kRWlHiM9j2m3L4q9WB1LdHrNzuTtWiFKI+3yf4s+5/erVDQhBgRvk+vzVvLhbqWowCpFqcpVxLKpksjfqc8tXZ6ZgwNempaYujEs+Zorik4nT/GGKxa6Z0yfL1hjkkmmzxd3xuJfwrtTZihRWAT9DUQ97RLtvbCgfKK5r6XiR2P8sczuilweWol+tvS4cz/ys8yKGFQVZ7hnb8l2wspCN9blSYRDAf37Hb32NbNmNKn0ERGJQeGrdXxxbmj9tu43T/RN9+EKybYBUCqCs+G5sCAnJjbW7/p+e7F+U//4+r3glKuylPt2SavBwtaSvcT+JRSPs2XrdaJ4TYk2X4c1eOFwPmQ35NAG694vkIzG43odYDoWyj5PTGDS19QmZ74fuj4LjZJtXmJbjPFenqm1VP5jCbsLM6boc/5+0Lubi4Ik+/zqX7LqUVfRHhBtQl7x7eSSfQ4KbZUJxIk1Z7FqSCx2DQARCkXf9UKhHFxmvMTv62ua4iKTZmXteIRUPrtQwr0DTmEBD3Qn1o1na8TijJcZFGK5iCMARBLjDdf0zsb9AAAgvA2455qsjSuA4GUScXpurp5taqlJd2ZlwOvngleTKkz2+HwF54UOIyYprzociG3v+POrktd2b4N8b0JgYYbBlWulctw8HcOxUH9lP4NYgZKhzG3m29j1WtheI0neA+xUkDrWNn9QWnuB8T0T78OuvIN7gBty2kgwBbBBlGE6vXEz4w1dUS8+RnhUY4HQJeLo38AMxrhoXrOBlamXCxn6JWZWL0hWaJSgXLI2daUoDtgs6xsAkMOiTusLnJZnOC3xONGqefz7OaQ4WsgcB7dS54MbfDCZ7F27GHWSYu8SPfCa7mGkW59wSdTIfG+XFS7I+GS3MSMzVZRqgTe5jCyjRcaYfb54yDKimaqa8tsE53NIRcxvcwJcWfBdymhP9EjqK6cs0nnV/GBRRl8xdosiTYojLlNCJ4yWD+3Rq2MoAKNGZqPyvrw2nJmYjdR0MLB8MPfFmrYrSJW/SwUpACne9D4A04qZjeLZgu/ysfc6mdECU2hDcAuQo0OUykXboa1D11X6vNCjOQCQNhQsLxawiOp/APKmWrffA2y0PqeQKAAxVCYk8J1ymbCwKMpJBtj6/BTOOTzG0uda17bWnTxXB/W5C3JjY4WSxgsnunm+/qnS5zxciutzCp/ZwgkuvCzzpvRTCD6CQWEpIDpVkgpglaJqkE309Yb3nAM1uT/p3vNKMhyw4Tk0Fiw5fCLf21Qh6pb7fQSoeeQ9p+vHamXIG0Jr/W7db1q/dZjA5hZ4/ypvjEN4JcKiAGALpQJYVqVGjhvaeNGakytBpmuR4yVe02d9UHRGHBVfv+EwtH6LuQS3h0mnLHk9kM4EHpo19owK5wQAWQmSQpzJjLFW1GJbjIh+H2UoSEAJwVqhbXECVOgY3S+9CRJAStblXJ9fUB4Mul4JjarykTkCkVhJbSjAJoOurLR4cqjyfFu0ceR7gNWdmoA72eM0vxxw530pf7etHgJstHDApoA5BbDJDloDsOmFRxFQQ+ctwUUwJ9B14lPlE6hBIgPyEogaCNiXDUbnbRBHCMghAGdxC664Zn0SOwS4kKpKFQw0hysJkCSUqq5b2jfARz0UsKHkaNmqvYBPIGS0cYujgNJiBLeVqneOAOdr7lAIsQQ4hUjRebodHqIkUjRQe1X1KMprw+1lCVbpkKee6FBOnQsm9puM91Shy1EImQSKSj8bbVkOTzYWaUVbYN+NctBBPHxZt6AA7MzZfXfZbwCpavUoQHQQtKnf/kMGveqUzH9QvLWUN2fUyN9bVIWRz1+0UEp8x+ucQepx0YtCTmjZLgcbr7tlIw9gSSrDFT4b+QWwWZcXAJABGzLwn7l03D1VSP6KM044pcSFZOCNsWpI+cgib3IBtaTyErjy+17b/Ngi2Dfx+Oau1HD22sVrpsVrKYrUEmLdiAR4YcllZMmQi+Xc6+tw4KYkqfT5GRDGUQJyHFv8gUtG2gFS6u33IitBzvBqGH0ILp9RAJUtn6eV9RHUPSqJGvSAyGsT29FyvB3jmeKxpsDdYEoRus5rKMvtltTfFpL/SFkA5+WCHRCPPWJxq0R6Zm8ReZ+5kQ8QAK89swADZZl+HWmHM1vKGlKAfg3A8w2EZvX0Nshan1Npb0pETIANsWsAmUD+vLwQ+chG9XkLrGlt2C2dPqLPSZeTHt+YAannZcGSDXrJxiCQvjBvuD4nJsYSLhmM9+6Czb9EgM/sG5rvTRmJlE8u6x0zZ5gCHzX4bLyztU2iQDpsLH9NPZcrAwit0u0E1hy539azKNboe+83FsBtYnPlle0pNjSBgLfx+03r93WxN65hK/31CbgRumehf8ihZr+f2vFCY+WOFwDR+eJ9ZtvQrFGeOAILnHs2tL7x/EnSO7woxwtSG3WuuKNectF+1QZ9UYPj/F/9NxduH0ep84QVHUtt7NvnLeEsu9o+90DwcEtJ6s1ZNhyg4WxEEvGsqWTiurz3llg2pM9pHDGJOOlzCdhkfd4BYGM/xtxSj2LDE6M6cRPzsZZwHfKI2gouLCaA3AZyyGYnMJjlgiI7mt7trPoLuM6ZWT7lQ+Omq57XNTkAWuBeBlhATFyfnzcgAZHuBI8tR0kQ+4XYNrFvPu05Bu1kbg8hAkDRdua2JoEPPLdlfB8jexG5j9X1GbjDQRcTYBaFQvR+I01sV+JNyOs3ZLtZVEGSeP1j4IoJpsQvchuxD7aDeIzNoxzEChgqYju847Xp/PtLf78O63/KlClTpkyZMmXKlClTpkyZMmXKnXJT9SjuzQQKnWsEVQzC08Holzlmlpf63vfM2m1Ib1lpp2SFR6ocFWnyKQyKyvktsXQgedGISt+SKv4dmygfGHMevMKWKkXF0t6lUhSAzLIhr2zxzD7P9EsqBXoKJ0GnBtpIvfbK6RKu/NhIbDyPK6d4Xcoav7iC7lt94iFTBTY/gejWmhpJwr111fiCTxW4jJC9hdFysZgUa9E/onwTO4eFR4kS4KxqjINDCOcUwgSGkEtqdy9Equmpy+MhGh73hNFvSlz8Pl2R/qb3kCpVEUvIIee1YfM7in63KX7S/WEHGHmUvDv3o9FZGrGmx7ycdF4byb9P+PxEHavz1lQVn0i6IV9Gv7W4Mb1tNq2o8+JYkOMBiqeU/ub/9tvR7Ic6F5rIL6JYa8SaLOsGMera1aJEu0qfU2lvYtiE4NPa8axU/VtexFBXpyv/3a7PdblVfrynz0XOLMMjTbp8Y+eQLrcYGJqFMaLPdfhM/H3U0T5c8iO0hSvzwKd/3QrvY1noHMLaKAvNc1nUYodLWOXc6XnachUbxUpM9gGtD8SwoX95+AT3xgP9+8373WLX0P3O56XcEBUDK322wjT4+k33Ox6n6jDG9KV+Hl2/8yHFCgWQQ6U8Xkn1enD9plDl+NtVsGVLewukZ7bYo4LhwUOkYuPdNVB7r0nv5PWW9Hnor996jkYkhzinfkZZxT0/ek2TEa/0uWbVCKaAk8+ybt9irRX7/JLPKiFY9I7J0KjSXmHetN6f3K7W55kFXxgeMZT2hFNizgGFIUksG6r6dsJTFQ5lvdd74Yv8+5hTRs9Zej9ZRTXiW/nAvncuPwcjlolXZ3nGTIjfx3NCLvldX5WvS6NS9AhJDJQ6hVOuTujAWDaMSUehUaeFvbcpx01m26Q2NrLH2Zq1sr9jy/F/HqWNGFkhQ6R42whXZnfF/EsUIgV2nRB8VQGP6wtiCvIcbDovGDHuQxwoKJ8lyS15bfLvaK+Rq91pZs8N+kinY8isfhbK2Qwt6leQqvsu7b54XO0wXkO+GV72WzTVYPQ8Uo7ntHHG5lifMvgAFeqlz0qC57MZMfKH6PSMepmTRyGAQqPKtU85YSWPmaVx9vLYUDu5HKjnSSojYBP82wCAZXkSSYcBCMDm7N4Q9Eu+MADIyQqPADUUhkTGXTT9WBlbVz7z8dRG/loSZDpJT12gypUmCrYF3vAyoz4p54UbAgF5IWaNl76JzZpH8G9jY/dry4p5yb9d3BkUZ5r7CEWxpnG7pKypJGFOSnaNuW0AuER7RoghUtQfniisJdHIpPwMLaOvbD5LXhtOuR6jI5uKlBSjMPoiMAT4vFAgUfsCWzRvCqHJYQ30zO3HmrYWIz2eYogrUOUmQKXEmY4Iz53z3pDOQusWtMqKy3mWujefoxZJLZY+p3bN+0hGzODzVIHwuT2A7r1zZ5ZXRpaCleGu9SY5XoUlxzX0uQ8FsOHvLCUdPqdwVyrzfF7eqOj0t+rz2D+5affO44prV59Xpa+jps6fl7BgdWfITceS8srIjYi1mR/R5xQ+Q8cB4Ar6F/mR9b7OI5Tj/ReUxJ5Mn2tZ0A6zo7wMloNC3G+aX1ZeVobxxY2d3NTF/xaccaZEpSnZ8Oj91kCNdb/5Gg7E0LMC2G3m/S5zY6/f1D/LAXPv+p3vhQfCIvvGk4p6vMrnObcAvl6/CbiJh9j6zW2VlH8thkix/CopRKqEMLwED5GKx+rSuD3J6yj9Xm0i4rEFCDxECthbv/X1JOAVJ6lshrjo690O2HBQXutzymczao9bzhyRo4yFSMWDHlAFQXRoFM852RwPWAgNpS7g+jyHuZZ1c0k5z9blSeYiS3qcQHcAIsxxL01AL6yRj2FxPulZ/t768m6mn28I8E4+QRuzeUbufGs1pz6GEPLn+BR48dnDNx3DfFyWM3cv8Xm2N8NSgBsAwW3wSwHV4zHKaeNLmFt6vzwWuKWU9w5Yko5o255x/3JOeqA4LumZX9wJGwGMKUxb59ihvDZc2jbtWtm0wIKc1wYQOoQ7sI7oKz1KEUuGuNZmuC44ps9uD+WMspOMGMjjvCftg3aAygbpubpnHI1L8z2AeH7v2SvZX9+QiDhd9w703vbGk4FW8tlUbQ5MgIiT1Rt75hXmLBsdM8urRZXjvc2lbHNjSc1ipahX8P5l9hisy/tE0uF47EkANhrJ38t3ABTj/qqMdzLqgWjgXV00RLcMYG3wedG0N6tOATQxu/o5HyNvIsWkciPwxPazlgEYEfdTShTLB4QKIfVL9JSEVT5DW/DwqToXGOhHSckoMXErt40co09Gp8/JS4P3WVmXSlExNlooXFcMkHLdJSHpHW9dx+iLSo3y2vQXgYfktRFyA9rOjGcNpji4KhlxOvV+cQvasaZAmTtrTHYFqZuly4BpSL7f4x6r+yUa4LkLnT63AJs6Vtk6j7y/3ABXDgDj/dDVhejvkBkQlBPLMwC+bK45y4bnQLAAeGtclj6ntjOg4UrSYTLyM2Oy4Zk9os81+B7hmNSftGHfcIEPxBy5HNLnlERzzZugNYINLA/QKZzgsWCETWnp8wgCxWSPm/GekZ9vTZ7MWI0rjT9c8+Y40JrD9Dm9N+RpjxWFWsBl6k+IWoDPkbzfZVOnnRfLcs7JrGWuopKv6BwS0yZVkbn1fgd4XF0BkTZc0jOwsfU7ruVH1u8F5wzarDjjmoA7YgPxPnOP+E3rN9tsZXBObdg9CggaEIFRLKjW75Z+yo6X1C5n2wBg+emKzglhSRuuK3K1lJSUWDtSrPWbHC/auSfz2gDl6YYy6NvrdQ8cL30ie0DaDLVepfxdHd2uWEClDxuoYlSUqF+zc8kAwnU/zbZUPhJtn/OxLIxpQ85UOlbabutzwS4PF1OfZ1AvtXNKuXT4+81Zc6f0ntA7soa+7cAB2HyM/b2xv0nPZoAkV5OibS4bZ5CASPz9bexfkeNKXaNAx0w3qTFZzyzlJotvHr2LvglsrUDRIeEk3pMMtuIptb/l/VMIG5blFKvT5XuLvAfgSX4520aOfykjSPkWF3dCwJajLigpcXBXpkfSjAUPuDIXlNemDFC+kzSu0qR8l2Rem9jD7FAl5g+IvcIcao2cmpG1g0r3cLssOmeTfa6Mcr0O3gQUZRuXHMSvS8gmeJ2s/gWPz23ZAZ3YGVOmTJkyZcqUKVOmTJkyZcqUKVPeY3JbyW/j2Aji1s1/wBNuEP1SeWbp34JINqiYCvktrJtNhKQge2ELwp6ZJDw0K3vI5Bh5SdjY3iaqRcW2rwj+LQAebnk/AGBdn8fqIuvzXNr7mWP5DxKFHhinXxLqveGaqdJXXLNnbkP0yl3D2zFjfriwDPoXgQxbMYmCdZS8sqUcYsqen7yM8ZrRU3tCqcC04mSi7CJOPoVXgXnNMjJMqCZ3NOQ8BFcE/5F4zL+F4E7RQ0tVqnhsK1HkWXw8Uaxj00SflHl7eIhUnPMTXHqmnOOMABki1Y7PlBUoaH4rT51b6CRIL1iJi49t95kS2jNQRFEjU1Z3oALb2bw/sILUzVKHMpUcMInVw2iLsQLTMQZMs+9aQmBelsVgLL13hM9ROdafEx0aVebEotOX4zrUVevUETH1ufACpz4qj7IOjdp7Xkf1Of29ZOakXdqbsyZv1ec8tNXS51u4ZF1+pVLayaPMc7Nw4fo8eq+jLifdHdkh5+xZBoAt6XgdAtvT5wvW/JAt8Jl1YeY9YeN2yYtJ8+x9/By8z7pf5yoQ7aPk3dFCs8E9oNb9pnLu9EzHUKjCyM25a1RVsFa+ohNnsw3eb2JUETs2jjve1w3XzLTx+Rm4mus39RmIIUZUSY36Tvd+5c8AW79H7/fe+p3vwWLoDO+xpRxRtG77sAyv39Z4+fodXAnn4V73EJBYesVzrUOcW+u32S5noWTv9ZLW1sLmJDuBr99AHebQC0mtv7uvuqslJVwp2QNO5rPh7AD6t8dg5KwMEUoSUuoCFsLg3BlOhEfJqlE5R4jhLSdrmOejKiwb/n6XXB70fp8SY/K01LnIOFMSAE5YzTLdOs8Lf7c528YMj0osCx6qGG1caqdtj1jhSrwd3kb8V7Im9+6dlVurlxuT29dZNxh6RLRLawbl53HyOFzqy7IJmyDmxuKluCNjL7JtljzG+N4s+bqcBZTnAisWeGypRLhzZJ+THjmBcqEGd0XMNXNBCCWHFoVM0fPJy39z4XltYhtMR/G9dXAIyWYu+4XqcsNi2raMra7DOYt+Kj1vy1LOC8gsSckscmqvcZzVb4pi3N9T9nvY/gcesJ8ZkxvDo2w6/egCIReaGClZwiRsI//I9YF6A+FT4uF8M9PL14uZLe22qZd88aFY2fhvXBQ2/xZ8uGBd34d1SXHuyzOc1xdYDaOP5zwAIAx8bSzxhJS0IJBhDwAX9xJbMubJoL+Gl9h8+i/TCF+m+WHhBpAbcycM1lMMBciblqcc3pXHk0qdngMvf+rjeIx4eSvBoVbWIeUJIGokAJzXtHAsz0Gb9237KODfqoyLHNvKko1xoXvsKTmwVtYoIVKxP5dEsd7yvHmsWNOLbsWjt4TTJS2jL9Ifr3kyckKvQYOyUpgNejXuTEbcFupjoqhr2qIAUx5RHu91UBcRjclwhIDMaeWPlftz6dhhqMPtC3o7YOazQfv5LyDLWJlvrs+1ruJGPqfT89AoDvb39DkPjSn6vNDpgQ2Le5LlvdfnWJcnPHMxpw2n09+jzz08Loi6e3NXXMLbAqAh3V7pc38ta54QFXKQ8rKsSafH8UTdfsLzAj6wMuVFn5+6+jz+ju5Y3Gwv/FlgBnnevLgLVneCx6WcB5+Am5PQ58GxNSIJf5Z6Jb8jYC6NsZjvQt5vCp2gNgGk0CgdHlUAmzOeDeWv2Vu/CZwjRwvAnC5pDQdQgMV8z2tAVSRzXer1WyfMprw8WzjhnI8td67fHiGBl6/Saefk9BB2VHiZ3rN6/caC7Czqrd88RIp+T06XkI/5suHK78kKHeLcd4Ss4jluAWbkkwxi/ZZ5bW7LS6H71wkNHJA6rUDqM+3AyKFqgOCj+WwoNKpsuAkIL2sHOVAF0O/4vmAV7Vv6PIbdeQa4l/eb7jfZT/ROAPx9eF4SiqOERa3hlEHYHtARnBepCijMseSFKfqoFFZeEVMKnFj+rTRC50UYFQk5awHknFcbrtA5zrjkvFZYS0ikiyAn6SxLdOgmpV/I7Siba2Njoj5QqO3J2QB2fo9DWj/IsclAoROexLscFo81PUfbVvoTUpLp/I65Ezyu0QbIPIG1bhue2Q0eHJwsNkXZG/nwEo49azGHEe0DGFEA7fec+sEduDmvDQBy3vJkt+U9uj3nTB3K+Zps5wF5zF6DyWBuyxHdazq9H1KQJJYUHwWIDoI2xci/dWGQnSpJJHOFkcZGYq89njyyWnSC5ZVdE1IqDYNVGPo7qDMlNiMjP720lKwytv0yJx4+rRF0II/sCJLfipflzBoAuLorNlxxcS9xCTHh8TW8xCW8iat/iWuqXHXZ3sLVv41teztXswrhJRBCNOxEAuY1ARIeCMWIhXNwLo4JiMyh0/Ic5/UFTunYaXnCGW9gwyUnZQzhCd55nMIJyAuFF4ZfHqmDNPzizRUoO93vc/Apx00xAkJ4ic2fC9gUFnic4cIFuToUtnY1ioTEc0M9hA2S/XWGc6naSfYQkafTS0OODMkdhWR51mIsKs9rk+4NQ7/zeQeEJyOO87EAPBkxENt1UYlnveTa7+Ou4lEouBSKNX08wPF40QDT65fXlfBYzvcYKyX3ybzXbPNGRn56b7gB3r+u1Oe1Xtf63DLyb2DZsE0L1+elUtQlg0NUKeq0PGUAviSmbevzHmCj9fmGCy6OAJq38Sq8FYEa/2Y85l/hur2F6/Z27qP3L1GqW/D5KPlgKOmr8/EcziShDT2xh+J4XrKcLbQW9PX5giUnLm7lPaEtxikb3xt8uGJZrnBpDQXiRh4MgFqWU75XtBmgGaWca5aOKm9tucfC4w+f8tC9nc9c3Yu0saMqk+e8di+ZnXTOgI2Vv4YzOXv3++JeClYsgXKXtFYTOEeOlni/04a3AlHj8yoYzsED7oRlecLi0vO7Ps/59Yj5e3JP8Ljg5J7n6644767fJf/N0l2/T7RWuw2nJSXSpgo+qYoQZ9qU9Ztt9jvrNwBhw1FSYqEfQvSYh/DKXL9LwuID67dj+Shoo4iUTFTkcSjXGV2/+ff9ZMTALU6CWpdHEF7mgKtBFMC2B6zx6Nxk5d+oz8v6tmadzhMO03u9n7+mVKCjvzdmm3umS0iXU34UymVzwlO2Xc/hKb/bxK6hPhGPiveBABvNkozgDQekaVbT8xCQOB42K0OOtbB3CDih9eIauB55mde2cr/W6FhAAZ7JwUrOVT6+dh84a2jL+ba0nEJJdO+dj06MwEB9xsAs7S0VcENzRGwTct5u7oLT8iyD1wAQQrrPiW0DxGcgvzPZ7t1gsW1o/AGS3RXcOQE/afscrok1whh7ZEewqQsGy9uyl7Mdg0XYw+S8FfY5NpAuvm0fQNcrn3Uy4tSpYVDZHFPWU/T8+aEKUvFcW7fo8XIwxWKT35c/k/Zb1IHWPqZm9NwKxrfkY2F3NGXKlClTpkyZMmXKlClTpkyZ8i1ObgqPOhqmVMRgwAQPlFTOTc8stTtMp+fepuyt3YBcuu2UaZGtmNm9dqh6RQmPinHlMYP5y3zesrzAkvIeAGP0SyvmNLfLvHSvXArDSgj7JbyJVyGxavybuGwfxavto7huyTO7fRTBv41lfQOn9X2pP98K6/IsV8XQ9zcEn+nZ3l+yJ5KYOteX34hXy3Oc1lgVCwCere/DdX2J8/IGiOru3YZz8s4+yxConecmjlt660LyyxI1kuaCUyMBYAkvsG0XhPAS3pewLu8vWJYlo/McQddCFaHKs+Dz80FVBsIW0fbgijcHOR4eXaSYt6Pp1RFFNjx14Mi0RYuM/oLj+WYeX0Gqd30SGTPbplbfjFITkp/zZdXXpj6OifZKsDZeiyygPDmFX19y5zwGcy+5qlqyz3JU+lxI7ZW9XQqTIOpzzjxiOSs0nT6tJ6TPu6GuTX1+ydeMOWyUPiedPqDPeywbqr53wcvsMb0kVs2r8Bau/k1ctrdx3Yh58XaurkTht+f1/VmfL5DzATAvIBLTJY2Tjl22j+KKBcvyFi5LbIdYGJR7DRjT55zqniuDJC+udx4I8TqlP7HUrg8XbEnPbp68aldQzgDvr/CLx/IAphvpbg+fQyfK+l2YSCIcGCUPDJC81Oxec3asft721m8KfaP7ffWvcigUr2aVc3Ccnot7LRkZVJ2pPNPENKAQ7lfXD+G6vYl1eY7TGhlG5/U5rstLPHMvsLnCvjmHp8w6iXKq2DYAIHLcGOt3PpaYVR4efiH2g8fmt8i28eXZHV2/cyWpFCIVf+/NcBsKPcghnXn93qep9ySHNoDmSoUcHAhraOW1kSHOvF15Tq9yVM3O8rKtZJ+7ZJ8X9pLt/d5jwFBbIgyL63NdWpnZ5/R3K7eN1aYPJdSx6Lmi65bEshHlvZMuX905M07o3dY5bLh9zvPYEMvmgvJ+X13MPaVZCFGHSH1xCidWyc2JNksoaXzHNpT7t7krruElXoaP5HXjsn0UF/8WvL9m2/W8vMB5fR/OiVkXr7fGCn9sTnXbLredqlgF5DWLnm5emZZkwyXryhzSw/TIyUm2TZlbxbZBCgELG1Z3zuGW2xJZTGu4Zj0SthQuiitjJV5AaRLoWetWknLIIVIAUoWqmOMsh0I5CoUq7F8q/035seKl1iaDKussFJZxmQWur1JeG3qfUtgYzwcT4BMrsMF+Y4x5m60C5A9iX7LmtaeccsQ+75T9BlBY/QdYPUo3Npn+ryHfTMyZeVTur1J7c8nvImPGeCtkgvLZlMXXNvKPAkWcEpzprsHnMpeSflk29rk9oTzK36VUZaHSZ0AjLRA+vERIBpFbnueSsLq8N+V9AVLiv1Qmu5Wkkpf0JkrkNeU7eIk3cQlv4eLfxKuUkPfl9cO4XD+C6/Wb8stwWj+A89O3wbP1fSKUKdLeYwLKRYFVPmwZeNlwjbRtFnL1avtobGf7cGwLwPX08Tif3sLT6QPwS/rtcsWGF3jCG/kFIiqmjm/lMfJU8m51p9gXdy4LvtvgF48TS6zs/RXePSH4t+Hp3voTvLuK8n+0SdMUa6KyWwqhlA6NwB9RI30+Vkr/caPkGIhS8tqkC4A2DyGXDw2mDhqNzayTEcc2eDJiAAjObmdEyvypsqRwHWrk4LWVcs5jyhTaezdzig65I/eHLklAiJIotz7Lxmva7REZCXUNQpdC6Fd5HlFQWYLDhl69LZ+NalsAEmmDkg3O/dCoMX1+Ze98CY3i+jyHxzA6/T36/OJe4lWIuvzC9Ox1e4uF7gDL8gzPlo+rQlP39Hk28hHz4/hwESE4F/8WNv8K1+3t1J8TTuvb2Nb35ZCplj4/h2dYnFeUd6bL6Ny0oT+HAsJvOGPFBRtLdL8sJzi/wG9vwyfASIbLUZ66MkaxfrsVPoW2BvVOcwOZNhMxqX1cv5f1jZz3pyTepzxAsrT3iQE2VmJSnsTz4l411299vz3Lq7Muz3J4Nd0Hyq1DpduPrt85ZDr9BwDX7Xm+39cl9vHZ8v68GfE5d92x9ZuHNsS5iCBdwJbthLgZWiNok9Y756/D6zcXHr6zpOSu5dlY8oarrBclrGF0/c6OFzrX3EhIIz+Y67cv/gVXxth1+oi2CrDyCCEgxWxXgUG35bPhYD9tgFU+MkggaC80qoRFUVL5rQCWTJ+XcZwyIMtDWxecc44qAPnddkqfi7aZPr+4VzncEUDORbaBtY0lX59yYJ3xhHN4hhNWnAOFXq55ZYttpeCVELBhi8dzmFEEM5ZQnostXJN9/tHsqF3OMQxqwSL2IGc8w1N4Gm774pgTIr0zG5saCgmLvyEdlNbJgJJrJzxjwA0HsApws6SEtadwgncxLQKFYp3cc2zuitWdMtjvfLTPfbjCEXDnrvA4Y2FFaSgp8V6IFP/s2bMfc2WdEmhDoVnnuAfg61TKWxK/bzsMc/7MXPK7OkWAzPckI6Y+8P7Esb5OZ+RxOQYOGc5VcbH77GVLeNGT+8Kw9uWxPZ8yZcqUKVOmTJkyZcqUKVOmTJnyELmBabNPp+9JLtUKgCcNcsxL0PLMNq8ZZOk3Tb+kUt8ODmCsmvJfoQSO0vg5lb6UFEzUS/8KFIa1Li8q+uWaEp1JT905UyJbFHrKRE9e2VfuLbwKiQIZ3sRL/xG83D6Ml5fIdrlcvwkIV5xOn4in88cDAJ5OH8Cz5f14cu/Hs0R7fhZe4Fl4liigtpdwo4RfidL96lTafnn6CF6dP4KX19L29fqNuG4fxXV7G9dz9Fo+rZdYps95PMsI+4tMk2x76yjhV6HU5/AoPGHDBX55wkoe8uWKEF7gGi7ZYxrcU0xwGQpTJoY1tUOkgNpTR8kM6bvoqTvBZYQ9lv8WTC9XvHfInrROm4anLlLNKRlxuTNUgYJ+d0RqejWxF1xB3tM3Vlb3o2FY9BtLbM/jqIyyYiSVvJbbqItdFsy7IjqcbcfzcIfU+ly2w+n0tzAnW/oc2TOU9Dlqfa5DXXuJHbv6nFG9KTSKkg8DVPkvUeoZnf4WfU5J5F/5j+Cl/0gObwWQWC8e6/IcT6cPAADO6/vwtLwfZ/eGqc8XuJRsmIUqGfr86l7i5ZLWEryV2v5IbvtyfTMxb97C+RS9tS19Hts5mW9SLP2aPqSktJGlFPXnCTEB7ro8YaXqSO6ExT3Bu5eA9qSzZI/Ry34ubfGqIIltI+95uVb8l/R2CaNe3FMqi86qyyBWBCN2FY2rtX6SkJd6Q3/9vlzjnFMxg/PpDTxLHvLz+v54v4nhlOastX4TA4C3rdfvy+nN/Ky9vH44tf12CoN+iS21va0X+OUC797PPOTH1m+4yAY4ZcbUBqoGeVoKwy2EK67bJb97IZwOrd+ljG4JTeAhzkDSDzkZcQlvRmP9PpKEk0KcY9uWx5yuf/v6vdePo5LDObKeTX10JWyBwlCPtl0zbpR9npmqhXFPTMxig5WQlliSuc+gpHXD+8Lg8iGGui45tLXY5vRMrjil0KhzqfrH3q2aZRMqfb7hipeuhDpeESu5Bmz5eT25JzgsOIcnPEfSqYnlcsYJ5xy+43ByC3ShGo+ALXhcwhlPIbI+X7onvIUnrEtJMPxseT+enz5esLbOKdT1yX0Az0Ns+0V4gafwLLVN7LiUOF+1fQ0eG064hBMuWXevsTpgAERlrDTuLY17ddfE1tvwFKIOo99Fto0MPSupEtIFXWT4BfjMEvLhEpOnLxexD/DhFbx/ma/pwwneXyIzhpUq74VIRaYdVQtjeoQx9uJd4iwLVtTghmTE+vv4Y5YmAeUd1cy1I+9+u22rWq0ufEJjb8mSz6vCsLCkh0m3rW3Xe2VpBDFRO4+oVNuQfO8fy425LaeN0YnbQ6Qkzb1c385nc0Qkpd8DbAEQ5WD5Is7yH5gUZ0Wn5iUFKTSKSnwDSLlsIpWeV4paKCYepXyqw05lEZaJngy+lyGFQm0fwsvrh/Dy8kFcrt8AADifPglP50/A8/Mn4MX6iQCA5+7j8Dy8Hy/CG3jhU9b4pKTPboVbirKkCBaPkJX1JWy4eI8LrngrUT/fcm/i7dNH8Pb6Ibx1+kYAwNuX9+Pl5YN4+eprc+y8P1/gT1f4lT0HDtnwW1j1CasihcfCFlEqsb3FChfOF3r1ckkG3lMs/w3AhZc5RMqDqqgQDboRIsVBFjL6IJ+XSI28ILgCfFAc6xEQIj/bLEs7N/oCEN+RrH9qAGLPsLSAk1a8fBEPHmt6vygAgeebeSBtkajoOmQpILAKNo8BnJpy63jcgjo3zINEXJtX6pNA5E3C+8yMfNH80Dqxmc+kBOalkS9BeGUU9ej0gYMAPlcYAcCo9B6Oyh4zIz/Tyt0ZC2J5b76J7+lzXlnkglc5HIr0+SsfQfDL9tGsP5flGZ6dPoCn9QNZnz+59+ON8HF4Cs9tfe6kPo9jBbb03l2DxyV4vAoXvEz5Vd5yb+Ht9aN4a/kmvL1+CADw9vJBvLp+GJftIxlM8KeGPgdijhumP3mVFdKzIYXWeFeqlfg0l2sCbgBg8S+xLM+wJAdHvl8PBiI5lZ02dcvyLOW9KCWyKTSK5yqKf7v8mYcTEEhGoRGv3Kvm+v3q+pFcBey0voFnpw/g+ekT8Hz5OADAC/fxeB7elzdYAPDMnXHGgpNbsC5lgxXnaX/9funexpunD+Hl+hG8tX5j6s+H8er6YVy3N/P7sIUrwsnDL2zuHRBYnhuqBtNavyO4VcKbN5yxuiu8O8PTRjqHNJTcgBTiQCFSdO29ECnHnjUAtb3nFiCseZ0ICEBj/aZcEfG3fUdPvVZQBSmZ1+YWT4XMPyHX/Fa+mT3pr23lmnruRmxyK58N/V3a9oA7S9tqOVX3i//bG0cIWwxHUvo8Vv9bcuU0Co0iJyoQ7fOoy3nVP4cWYOMh7fMLXuGle1Pkl/ThAspnktvBE57j/XgR3ofnIYY6PuGM5+6E87Jk4OSc3mkCTyRoA2w+4JLCmV75Z3jDv8BLfAAvXVwjLu4VtjVWdaLQoxUnnMMzPPknPKU168mteLauOCc9AgCrapfA3xBWXHzAJay4pLyRb4eU04vds+hmuODKQsN8uGBzEcgpXkHkPUDJJ1XmOwM3kOvGKY07uOfYcMXJPWFLem1bTlj8s2ifi9QJ11hFStjX7VBtx2wmHhZI+YEofDWGWRLIrKrPAUmntPPaiDZR3i8eMikrSNlyPA+kyp8pHHGPkWZeLhaGdU8qhj2x8mcenydL6PePnK9+nw6X/D4iciFgBjcdDz7eMBGU1zfyd5MDs3w23GNQ8tkoJJ9N0JENS07wl5KbxWORZeOSZxCI4BB5ZXNMfEbytdG39JNUZqOvGHwvt2hUv3X5Bry8fBDBv4XnT58KAHjj2bfC8/UT8b7lW+GNEI2+928fwAs8w/PlhOdrnItnq8N5if85AAsZXi4mvfKhYAUXf8LFB7zaAt72MX/D2/59eAsfj48sH4c3T7Gdjy7vx9un9+HNV8/x6tXXxT6yBVTc5gTckIc2zpuV3DAAhpEfF4Fz8Xwvsaxj8c4Cwb/KbBvyvCzLeNLebKCEYggWA6kYfT548Lw2QNlgtNqJSY839rlh9OEqd16wEPaIIPdiZntjbCPgQPFyA3DtzfAYyNFCwHV79yDgEUm38qy8FmkkPP5YlZEExDrfTNTnK2Do1Vs8yS19ro18rs9z0kSmz/eMpNLWJvV5eAlgyeW9iXVBZWEB5NxkazgP6/MAn/U5B2xIn9MGHvA4n94PAHh++gS8WD8BL5ZPxPvDJwAA3tje19Tnq3PR6Gb6HIhGftHnIenzZ3jl48bhrfA+vOk/gDeXD+Aj6wfjNd0LvLW8wJuvvh6vrnFj/9art1Oix028pgsWwAFPYcGS9VUBM8jwjxv6kHMUAJEJsuIMj3NJtLs8ZX2uDb97wZsAX+kp50p5Wlq/F3fKgNyKMxasmR1LY3bKQ5zbcHFbR0mHryj3++2NnBzfhJeXDwLY8OwUN1tvPPtk836/4Z7wwp3wbI3t6fWbNlxxfuL6vaUbvoXW+v0BvLl8FB9Jz9pbyzfireUF3r5+EJdrApb8NQKqJ1+t36WsOc3bzvqNAnjGDc6GLZVCXt0JW8obdd1oE/RSsG3isT7osWDBltasnB8llD5y52DI3uwLSl6bsfXbEpn8l5wtDFAJW3bQZNu4ZyPsOleOS/3u0GfGOkoJPGW/bKftiI4Fyjsn9Xm8Lk+6WmASYtfs57PxbC6zjZ5zlL1K9t45b7gJgF/cuU4iz+zz+HxbWYgKIEtJhzlgQ8mAaWO/Li9wTozI53g/3ggfwPvCC7yRQKTnS3yvn6d3GgBOS5yV1em2UUAbH+fo6k+4hICLf8LVR8fxJWxpxQwMBAHObsVpdTgvCRxyDqfF4bxAgTZFtlDavvqAi1/wdjr4tK142684sSIacFH/bbjAE3MyeCzuIi+cQF9aO9JNRJ3fJjJxaN3YiGmDmOB8+/+z96drjuO41ii8OMh2DJlZtXu/w/nO/V/aOefdQ3dVZkaEB3H4foAgQYqyZYcjK7NbqKeejFDYoiSKAAgsLKgS7DfRwesTfDAlaBNPCAmtJ4MpxGHpq3CRlJJooPdR6jqJJpazk/0jtWzdZiRsSiTLv+THxIg90ZAEGXFYrv4cGfESIUsiET3XBTp6exg6djm40UP1Xy1K6Nl3yiUk1I+We6XPV1lllVVWWWWVVVZZZZVVVllllVVWuaNcXR51beTuXISq7hx1K+Klrkuvxy0ZA+azmcA7O2VQ50qjMqSTa7ERSkvBVItNHSe4s8gmQTBLe1AJpZeZun4kv7QG5U4TMiu7H6kU6jj+HTEGPOz+bzwO/w4AeDJ/wzP+HZ/8FzwryqI+GotHY7A1GruEZd5oYGsoqs7ZWfE0KJqfIrs+Khw9cArAwVE09Ogt3vyAx7DFS4rub/UjXuwDjNriLT2L/fE/cBz/Xt9gCqhyhF22jm1jrQyRlJnZGEMFsQYIFmn0JpdIAUBIMG8VHKIutayaa8ojcss92fGktOEL+VhU05KMyNwa0aGui5fgmBKlJu6b89Hkc5k6rjftJRqvhf3Ja8rHPhIu0sLEK5l20PgZpcDpe8I5rV8DcnPbc+6VL02fxrnM8bn3/5I+J2kys6rDgXBpnEafVy1i01pWegvmzpGlUVqUR9lI6Iz36vOD+xMAMrphO/yOh+HfAABP+m94xt/w7D9dpc/5KhiA4aNCyNwEEWMATh45Y3rwBns34CVssUvomxf9jME+QiuLt5SlPpz+K+vzzCtiSuZxVBpIJTyciZSdSDgjKMtefSRb6UU7banPo2iz+hFCiAEr5rvYbznf1P7XFkROUz6Ru6wgiG4ylO09Qsx34oDj57jb/I9sv5/N/5zM97MZ8GA1dikbDwAbAwwasEpBqzojHyLhGZfY77fOfBu9xT7d93H8Ayf3rUZnvNN+2zikTHyZb+an8+EExW2Cw74qkaJnO2T7PcdLl9d+TPpACX4K1hmx2NU02EX7fW6c+fbc9bG5DlLX5FLrLLCqjtOR68tdS/lSpxMgCmpS8oedOw/93PrpRZ/T3xqqAtS6nO5pGZ8Nj0MomzHr85hQVDohJYG6E1zbyVWBOsEB0idUyevnko6Coiudot5Sy+09fEKXKKVh1BZb9YwHJNR7/ILn+IhnvcGDpXF2RmFnFLaGEC8Are0WNQkAISKh6BQcr++gMAZgjAY+8Jof8vpn4fMZrTAoMU7SI6xDtBizRuxFjEFhDAq7bDcUNl5jcAYmiOemkJB0id4hvsEF6ioVdfEDdeKJ2WZkniJUTbIZ/MyZF40Qe1yiRF2zDNouf/S/T2WWMb0PQY+ICxB7kteG5tEACTVV3kexD4jFl1bKQ/pJhGzz1Ts9p1PaDlIAUjkorUfZhe7aDlKFIwcC7Vf+1m0aldGG9+J+kTN6m7QImFkkz8JOtXcpl/qA1uKtvKPld3GWl0oxZg1sqmNs6PhyuKX8WZJX0jEPKFVB9HscCOzknx0r18xyeZTL9xPjEcSbU6DdWg+5XSgrGElyJp2+XjvYgACnHDxGHCFIC1PARgZBHrf/F543/wvP5n8CAD7Ff8OX8AXPeoNPlsZ+GjQejMKDRXH6dMSg2ThEGFW/4D6qrKzHQP+fgsIhrY+9M9h7jdfRYJscwW3YYNAbWLvLxlBBY3+aBm60KY6AEwpKK9UlNpROPpORcYkUQJwDWg/QwWanD8qkUodNNuKaodkLoM8qOYbMawPUZR858KEUvW9NTWtUdSvQS+/ZubahdN8s9bu/dM0U5dw6mI0yjTHVml7nTE7H6gdpimMY8CFkYB8hosa5JjM7J7c/v79aKi6Zc7xkSRRUs56mvARLxuOfu/q8dfIbXX5JchC+0ef0Pzv5R0DpxGmSgvCiNEqWyxA57fv0+cH9idP4Ld/PdvgdT8O/Z33+Jfw7PsVP+Ky3eEpOPuvznQW2ybvemVqfa15jmZdACecbaRPf6HOrsRs1Hhzp2W3YYKM2MHbo6nM5D8ZQm3EdTQnGKD+BuwOlRKq0hSZSYul8sz43cQOfXo3ePLNTDGUpGMR8OomEuHqvxNxX16M0gDLftf2u55vbufN9SOEyDa9oXJ946Gi+9ziFFxzcn5UtfNj8r8p+n5vv1n5TkC6mcob5+Wb7ffAKx2QaD8J+T+bblJI/IAVu0jvK8l77zWTUXG7o1ZiInzeZz8krnUukJmuWS2OapMuc9HRGSVzohfb7MqeNPGceN87bb5bJRuRKu353URpLG5DMrcv297Y8ip5nSd7WwZr+z71xShvnFIQPTuhzB2rxvSl8WWqgdw2l/FHDwEZLxLpVULbsU3IbcUSMKQDPxN5UFrXPJO4AsNFEGP+AL3iOXwAAn+MTPpkNnqzBQwq4P1iFRwtstMJGp7Kjztrmp0brWwRTAjByICctCB+nCRUFCszYZCMAYFAUtCGbwc+7jDlnN05pGt+cwsZFDErBuFSGlfp/RxXgdeG0OYVXeC/an2uTg3GaS5rjDgoh24w6CaJhYXLgxSuX9LLN3GNeDTB6C69PCDloQ+8DBW44EetTQv4Crw2QAiRaLuD0N1ojxT/30/dcJoCb93hJCQ6Ny9xYZz96tUhKg7w3kMEOyZPW7GHeFexom57kZ0M+Ho+3vLSeOXn4sqckDO9rejKzd1oYGLqH3EZE/C7DIDc4Ib/kczWzMvK+XJrgUIwpc2aq86nGQFy6L3YO6JQpii94WojkbIBWm1wzywTETFYJIGdlpdNXjSO7PSQm+lEdMSZSs2N4yaTD/MJzwOaT+d/4EihT91v8hM92g0+DwXMK2z9Z4NEqPJiIx0QgudHAVkcMmgI2mQMhvd4czQeAMSgcg8IpRLwlhby3Cm8O2BqDzZgcyVHDOg2jLFSqvQf5wXg7/n+pfh85Eq6MoWfEmQ2lMzFx6xBr6MoRsnHIaBsAmUXe6yN0oEGDorrWEF3u9BQiRduXdJHisZjXhp6PCNjEkgWK0QFVHevyekjFmYlKgZd7LTqU601l56Tr12VtLITCa9sF3CjF0W06VPEYHx0Bl2PMRMGvO7/GNfP50VIIeW+T93QsqTtHAVRfrTAllU8/LwnYdIN702B/ISGu9Tl3AJTjzW3i5vR53tzHAEJnWhGEL6iLjJyM1DlobhPf0+fUKarW53IzvB1+x/Pmf+JZ/0/8HtImHs/4ZIcP0+eH5OS/OeDVqUqf21HBOg0V9ESf70//ka89Bzi0xSi4YZjfJghuCEZeMNqG58oktE3eRKkBVm9S14+PXXuZZFIV+93LxEuiab5uibKRQTrOwrvUGeyYSKblfHPAZon9pjkHdvrj7LcdFQZvYEKx37yeDqe/l+AidLbfHKgD5u33NEhn4eOY0VV0bEgkogXxRGhTl4Jxy+03r0efMtzsd9HcSC4Ktt/s5J+335eQspMsMG99sw6c2u8ofNJrpP3OLbay3mAKfdtJ4ctk1SWRHDPVOBDjxAjo+SC8wnk9Lvls5DghoTkyj2IMUHrIvGQAMleVTkFYABllI99bubbl+vYQ/nnirzkF6roXwojBEHJto5/xqH7Hp/A7voB4o1iXP1mNpxRAfbIKOx2xM/Q/AFhFa9sqWtMS+QIk5CTKzz6jb8qx1s1SKTlrVQnaGFUCNjJxqxUSr2U55xgUnKVAPwf7d0bh1RBxMpsINW6gvCJkTNJXXo/w4YjR73FCCWxprWE0JbT52bLNkHPAaUWJQjEgPcINXvLc8v4iI/ZO2cYztyV3kmJeG5rn/vumwaTF/Xc1c2MF2gNUyaYc/DV5XZwLMEtUG32/msD0A62jmp/qeqT9JGCkNCQa/r2BjiKdfUCWOnG7lJezRzb/MRw0fG3puTTP6P3n9ouu/QPC8qusssoqq6yyyiqrrLLKKqusssoqq7xXrue06cR5lmVQRfRI/jyTmZ2r87t0/upfUZtbIqNT1MYlaVt9l2P8/8gXAaW3lI0V8EsujSqZugKl5+hxiybh9nguo2zeciT/6L/nTlEPu/8bAHKW7vfwP/E7PgEAvgwDPm8MngeFz6lw9clGPNmAxyozG1KmLmDQMeeatIqpJp5qVwFgDDpl6jTePF3zm1d4TbW4mYleK6qNdRo6pHszADYUEd0f/h+6l/FPgr6n7KzmOtGUtWZ0EouEWAPUKl2WSAEEi9QCGgkAKmypg1QcERPPQoxB5HhLln+ufShLZnkXR0p5lEaM1FZawiKXdJCS10DHBPywm6kD2rahS1AjvSwgUJel5POJCHuJfF8fDW/HvgdsUT6fcm7+6w9Ew/xAaORPKfwuVZ0A31fqdk6fz2dmC9qNZWkNdk+fR0TqLKIttBalOmrISAu60/L7OR4boOhzFw+VPj+5bwjR4WGT+MiGf88om6zPLenzz4PC8w36PD9bqIy8OHqNMSocfNHnD0mX74zC9oI+DxvSa4fTPwAAJ/cdVm9wVDZlPRmqbkU71zpzyugLOkZNoRW0KCe2CGqA1aV7FOvEubk04h0IQqeGM3pBchPYTvlEyfgnGH+TjafzlxbAdN9UCjfGQ27vPfoXnNx3hOiw2/wPAMDj5n/M2u/pfMdqvncmYFARWxNgVH++l9rvar5PCtp9ks19EAfyhfan/wYAnNy3yn6PXDqXUWd9bpsKWYUBDmO2q3mN6dLlR8ctvB/P2u9zQh0auQzH5WOT8iilKUuO6+z3MiljpxsAoVneccqPlKzPZdlp//6Xdo4qpxb6nMeQKMmMXWvKKS/w2VSohlwelfzzhKAjfV6oCjKSLnJ5lPyvp8+JpwoAnHK5+x+39z75Vzi/h9FbDIZQNY+aUDaf4xM+WRrn82DxKa3tTwOt2UcTM2pym5A2G03r26gIq6d+hkTShagyyoa9qfK3mhOHdUWqzEoovRqtJ8WFYjfGSDrk6FXWI3tPqD/ixOF5TOVC7gkhFKSNM0e4cILz+3x+rQboKBCNsISmSVpCCqM0daNHZEVDRuwl1B4ABKXBvDbMbZkRZhd4bQBZGlTew1AhYhhipKjE8sx554S63vXsVM2bky7+A/WHRmRdCaDwUIl9iQLmdII8j5pUD1wv7+ac+WHdXWXlwv3lHZw252VugurgzXkn/2K50gUS4ppIrTEKqhCdtU7+LJw+NlC3xH8QU901lMnlPgV+OeTgg42FC+BcaZSDFy1QyeE7pTp4ADiOXzG6f2C3/f9VpIVfwr/jd3zCbwM5NZ8Hjd+2Cp8H4JOlZ/FsA55twJP1eMhOn8dGe2yMh9ExO9BKRcSoyBAkp+/kDU7BEFllUtavzmCnNbZaC/I0BeKAUcBITmgIAdEE+GGET8/scPx/ofUmw9CzwoVFUBYu+mxUargqKw5dlUjR347Z2dYCBhuUya2/6zmcd8jqNnwBzGtDz0c4fbE4NSoD08v7KckM6bv6LMS6D5PrOH1KnnN6npsU3QT2F4BYB1d/erkrdPGvFH7mDKF/XzlULXyeaUnRNdxetdSB8Wug9OfHKvpcOvlyHPkvMH8Pks+mq8+Z7Baqq8/ZMezp836L73BWn5/cd/iwx8YW0uFnUwI2rM9/22h83txXn7ugcfD2oj43Z/R5HHzmCXP+DSf/CqO3sGZXJSoMLLUAn5QdFK4Q3dHnBgO8ctB6hE7PnAgdzfW6rSPl3THQ/K8W8425+VZi01DWJM85IJMuxHMBIJVOnLCxn7P9/pzKom613zvjYHW4m/02WsGoer4RMLHfJ/dHDtT17LeKIbd9ly3A+Rp79tso17ffUNX6bO03lzrOJV24VLfwU/T0nQbUvP2+RuoEpE5l1TL4UfuvvLGZTeyI5EpJWADIG8nrZaq/fZ1UvaC3ry15lWVRkmeltRMVobwgjp4fgxuFcHmL4LPh8qhc6lrzZdH6LnyWVP4oSziLcGkU66sRR4zxQElVn4Ky7hVKaWzMEx71bwCAp/gbnhOHzeeB3mnS5RSw4fVNAXj6f2foXrYmwOoAq1JQtuGcjFEhcHAkAi5S8spzGWCkYI4UnQIzRpV326afNfpjUDCIzumCxtFrHLzBLgd/NTZOZwJ8mjMAsHRdnluQ/wanD/DmiH0iah7dKwXHlRWt14nsPapQldXyvMgW5iZaOOWgYaqyWv5/UmYpGw7o1JAk8drQdc/75QqFjJg/KwP+PA8lCdmWCPqL64b3B/Mi/MIYAOUht/O3BjhIRzb7jI8SpUvg+u7C9z5z7g6v0EdKndz2eE9A58OCNkXKQ5sEV/C+zlF0jmnN7GQspTDZlHTGWbKxKOf3yVEozoJSW6hcQ1kiwKQ4THZaZFa2l6mLCHBp0VBWluplj+47HXNfMdh/w+Pmb3gyfwNApMO/xU+UnUue1+/J4fttE/HJ0nV/sh6fB48nO+LB0hg767GxDsPgoXWE1o3TF+h/ABhHg5OzRF6YSAsfzICNNhi0gdUlws7Bssg1quMn+OjgzAF+Q8ra+wNG9xVHs4NRW1izTfdNmQ+KcnNGO81TQtvQ89LleSomLBug4xGSm0ClutYYj9U7kwkpF3g8PXLg9j2iulY2oE2mTpAYX08uOHX6Ilx12UVRB1xyts6NRdd9Tul53Hp+Er5GIe/OGEhun3NS183e55w/QLpontvn+R5SiIFj/pen8NLGY3nXEanPS8p/bu2dG/vsPUSf+cnYWVLJ2dPJ0QcI9aGgYdTQ1eetLNXnRj/gYfN7RUL7OT7hyzDgtw2N82VznT63NsCYcJM+35mpPscCff52CnD+AKf3cPoBLjngHtsGbVOenBQ1o88NRniYHDwLM3PMyIso1i3rbXmsh7jh90lm+E3e5E3t93TsgrLhTikeI1wkZBVnlZ0/wJgdHja/n7Xfv20VvjTz/WXweLbX22+fNlbO6XfY7yf48O/wZiz2OyT7rTeL7Tc9Q97OlPnmAJ+LR+K6EQ0dlLKAsmBeOgB5rV6TzSb+ufrnFrFHmewp0qZOkMzoN2WA2Eet1khQ1ps1kvX9Qchl3685MAB+e6vPpE1xG3S/1JGql7DtBockhCvtAyY++ZV7gRZpkxhoaBRV+GxygCajbGwmx+bgey9gwygbx+tbuRyQZeLhEB025hO25jMe8TsA4DkQofjnjcHnDZ3386DwZRPx2UZ8sqSbKCDr8GhdDtpsLAXgrSF93gZU6H4TqsbTO0aBWj35e3muicdGBxHkxdnze6/hkh45eYOTo+DvjsnLnU2IICOQOskXhoE/Jt0QPmHUR5xMeWYn970K9gPAoHZwcBltw4Gpitsmd5qKsLC5+yBAwX7SK1boEULkR/G+58DvFXxpUo/k3/N7DBQft/Yfe2v8bKC2SgiLtcfoKak/cvCW/MKIUOu6s9L6+yWoXI6/DzlSEbmf5W75a/3aa+R8F9mPkV/jyayyyiqrrLLKKqusssoqq6yyyiqr/IvJlUib61LhsyVSnbjULaiX2XFztFBGDfvRxqXIntxWUqA0uF6W75NrsLlNKFDglwzBpKuZL40CgKACPBI/SxwT9PIVo3tJH3TYDr9hZ37HMwhe/SV8wWe7weeNwW9bjuRTlu73IeDzQJmBL8OIp8HhaRjxuCOI82bjYIcAuw3QJkKZBhrpFULqNOGOGm7UOJ0s3g4E496MARttMegBVsIQQXw4Md23ixs49wWjPuFkElR8eMXb4TtG94JRP2QuAYstPEYEZcGXE2c6STEPgmzJKuviaW4sVBgQwj7XOHNdK2VnBTTyQjvP/G5OIu18rEaSxJwjuE76rOj1Z+Z4YK7lminnX4Ys4czjuXV6mQm9h7i5H2yReXOuKyfi+78uq8AlcfzzbVJnO+Q5K8m1uX8FGcLtUNalelb+2/4M8PNl/ppS3iA7R7Fc6hyVW7dGl8uw8vNXAyEv9CDKKEzW5XfT56BuUY/mb3hKmdlPqXNQnZmd6vNP1uHTZvwQfW7UVJ+j0eej+4RR/zucIeSFsycq3w172LDPWdNRHesSKQCIOnO/KJExlbw2/HwVqPQ46rQ+wzx8OzaZunPvkpRc6qRFZjZxF0hehR6fDd8Hl0ZNkVWlPAoANvYTHs3fsv3+HD5N7PeXH2i/rRpSh5qp/fZR2u9POKoDRpPa1Q8HvB33d7Hf/HyJ48bktQeAupYlpKwsKwrRIWC4aL+JJ4IRdGmeI6GAahtm0PKtsf2W6Fj6eXn3qOvk/ZnmW/1nQqjM541rZKOZ/Zs83+T8XJYaGeGhJshJ+fO5rlEAKj1exuHy1zEfYwS8UgXVpcTa1hlJp2bH5NIo5igb4yGj6EZHa0Jri415wk59xmOk0sLPaofn1AXuU+Kn+rKJ+G0I+DIEfEqouU+DIxTd4LBNa36zSahJG2CGkN0jlUsMRWlmoP+DL75ii7JhUSpSOVQqs1Qak3Pz92MA/KjhnUDsnSyOo8VuLGVcg7awGrltdyq2go8aY6D3ZTztcIyfcFCfcTTf6Jh/xejeMOgHOE0dt0YcMGCbS6S4Q6sULdYjdaszlU9g1AAn3yVlEYBq3xY7nGcqscrMdZAKmFZtVO8vFGKMkxJsdg0Lim+KFJbckRX3ZMf/p3uPwDtKOOdsYkHXNuPdsLc4fw35oSCqe3WpkqIxZdAEaj37vpIloPjrBX3zEffyjvKo2yes54CfGedq4yMCNsIoZPhl4+SfP1O9qCcLEMSBwPWSzH/AJVGAgM5H0bpQ1Hb3xnRwGV7t4hEuHInczH0FAFj7O3bDb3jSf8Mn/wUA8Ky5NShB6IHi8P02OHzZkPH6vDnheXvEw8OI7QMdsw8BdgfoHaCoB2B9UR6ILm1ADgHuAGz2BMcG0s96C62kq2HBCruQIBqcwgbH8AXH5PSdhhec3Auc+wMn84jBUN2rM0d4tYOLLhNSSjKy/OyUzzwI+bmyI5j4hOTcBGVzTXxuldcQhsXoL5IR0/VIp48/a7LCfk/b73ObC/qMVEO3OYdLHMv78af8NefvSVtr/KsADmeDOADQcQIWnfPdhlc4Ffxfdc7l5a5z7b5zadSESO78eS+REM/pczQ6w1TlUcNV+tzDzevzBA0f7Bfs7Bc86N+zPv+st/g0EAntR+tzfwQ2bw6bTdokvG26+jzGnj7f4ST1ud3DhyNCcPDhCKcPacgHeIy5RAogGHerYzVUxWtD3x1glENQQy6NKbxiMnBSk9LmsmWYqjRKfr49B3/eiPlmPhs533MEpVwaJYN0Lh7yMwEAa3bY2d+q+f6kdxP7/WWYn+/HxxM2Ozrf8Bhgtu+13wH2FLv224v5dmFb2e+jJVLl0X3Fyfftd+H9KU0FLtnvQhBb+1YB+qL9npN2E1RLs3aF/aZz90p+zrf9LuMW8tCS3JEbotsD4dU5r/zbxfPm63s/oWZV8gpZ6gpA1XyT9TXI0pDLJMQ8Tki8JTG6fB9cLq9VCcJLPpu8N8h8Vb3yqJjJhwHkgOzJv+b30urnVBr1Bc+R1sOTHai1ty38VFQWFfDZOnwaaH1/2ox43h6x3TpseX3vPMw2Qg9AqhIkyY8ilu7pbCpDqB7xtOV3OYeIryBX+VQ3HkHUQAGpSzb8UWE8OGwOFptjInU+xhTmBUJMZaxRwQdgDMApl1YN2LsnHNQXHFLQ5qi/4ej/xMm/wqY26YN5pGA/LEy0OTDe4xsKsXAiyeAvzbkss0yck4IbixM2l8iIQY92ltqgSujm8qm67PAWYuKpiH3QO052dWA5c38u0wdtEOpfV+5b7nVj0Ob6C4hVfV/JJAPzhmW5sx9qo9BwLbQRfPq3R3x8noS4O2YM1X1QdsiKYEGph+djZ7uMKJci+aQdycnfw/m3rF23wxc8mN/xGD/jWZGC+2QtngdNxGbJKHyylKH7shnxZUtG5tMDOXy7Zwf7nOpaHxXUg4beaWAw4IJUpRUisZgBKZoeDgFmH2DfAuwLZfqMTRk+VYcRXLRwwVSdK07e4jg+4C1+BgAczO84Dt/h/Fc4/waXspFOP8KrERHbvOHRseWQZ0KyUhdPz9yAeW2YUJIydaSwITZqvfem995p6ExGLKUlwyROm9RBSp6XeW1mNgqtzClUSXRG752sNfWpCv2a9dlBu7SS+WZ+VJCjrau9Dwt7ReL7g4nIfnWZrJWOPpfSvoPXbh4m737FUdbJbInOUZdJlP0870IsTokco9LdV+jzkDKzY6TgRaXPk2zsJ+zMl0qfP1nKyj7/IH1uHgLsC9kcbeKsztkTWQABAABJREFUPvfR4Oin+vwQfwMAHPULRvOCQ/hK3UES0SRv4kMsJL2ywxM/S58c4lafK97Yq+Ky9AIx5XpLQEiSk54Tsg+m4qSbm295ze24AWESpHPcrACgLLz+jOf428R+P9sy35+Hn8t+H4PGyRvsK/v9BQf7FaOb2m/OlDMJd4hxsf3m5z3NZpvKfkspfp+f1e20FeercJDNBHicyBsuwWmTz3/FHmmSOYfuhNz79rvNsC8b8MrPN9LdXDV+8zXnl6j0s2NUgZmyts4hmVrJnT9R3g0mJ1aMqlE2zzejsiWJ/LmAUOGrSutb+uee9Dk/l41llM0znjWh2Z4GjadB4dMAPA+szz2+DBSw+byltfjp4YiH3Yjtk4N9THryAdBbBbVRUBtNgVm6obzWETKshv4J4lgox+p8Cn2/OibPyd+NEdFFxFNAPCWdc4wwe0d65JWuU+qQKL4+RpO6TdF5T0HjEDZ4i894U0mP2Cec3DfSIcz9pY/waqyeO83FNKAGCNSeDP6mwE2x6YUbSyZsqOOgSBypy1tjfj8lb5e8mlbyPkCg9KSdmh1HoPgzl06F7Bfnpwu7SuRegwNPH9UMtejE84j+GJcHh84PqMENSQoSvujce6OGJvIB+4x117LKKqusssoqq6yyyiqrrLLKKqus8hPK1Uibj4pIyZaLfe6ZK6NuAgFTzjHN/l4XzQ+lVCqDJT1UaiGtEiu9QkFfyHr4s9BOVUfxncjMjn4P519hDdXHbu0n7NRnPPtPeDQ0hU8DQS+fbMSz6CzyZRjxeXPCpwfK1D09HbH77DB8AfSnFCl+MFCPA7C1UBsDWAm/A+A84onu2xwd4tsI9eChNwl+bsZJfW2IwBgISn9MLPYHDxwHjTdv8ezpXt7MZ2ztJxzNJzj/ijFF2QdDHTc8trk8KoDah/bKELgunq65ZOmUOFai7Md6Dq/tQMHnVCFHulUT+ZaInuuyc2YShWZ4dT9T936ZwhhLhxce7+71mSICPif36aZxP7mJp+DGsqWfQS6V6HXlDvd5+Rn30WSX3pUp78GMPkfpWKPVcFGfz/HZSH0eRGb2p9PnBwf16s7qc5d0udTnpwDsrcajt3hM7VzfDEHeR79HqDr9jPBqhIfLXVqolev0+UmeE7rm0tGpIKoCesowwoPbSPekzLfsLiWeT8rKyizqkvkOCBXfBWfi+RmEOMKkrPtgnvGgvuDRP+X5fuDSiaGe70/WXZ7vJwu1sz+B/f5e2e+gRniMF+337HwL+13a9mrE9GzP2e/FGey2bAS9+pAid8vMdsY+J9d0m7xGut1WWU92SDIkAu1dY04Qy3M63Vx81hJh1SvDkigqk8uj+L2qUXTAGR60vL5H+CiR8Ef4cMLGEmpkaz5jh2c8xgc8prVI61uRPk8kT8824NPg8Hlb1rdE0ZmnVAb0bKC2hta41YBJ92NnnkuIhLCTcInQvGy6oHUU/6z7Hl50AcoHwAXEQ0K9Hz30i4ceArShZ6G04MGBQGMGjZNVOCSE5sFrPDqDx/EBO/Wcn9le/0Fom1BKz3wkHRKxKd2dZrhtPPwUsQdTlVkyqq7tnka/l7bZ55AeWS/FmletW+InEcrv5JzpctooRtuLIWP93t8ik7He3d11Zhz02WZ+PeGqgI+XH9Dy+4woNQ9jvaI0avq7b7gfzpeMXITTo7QLnbSJiwFaF6PApJUlWEAEewzDpKs5B8MMcGqETwrBhyNcOCCGA4bt/wIAbPQzdvEZD9jg0SSjYBQercKTDdnp+zx4PA0u18ADIIfvd8B8sdCfyIlUTxvgcQNsB2BjhULXZFxDhDolBXUcoR5OUK8nKJsg39oBcIixEB6SsjYJCknH9l5j74BHY/DgaexdfMZGP2OwzxjHv8OFQ75vrx2cGmHj9uz8aOjKUafnberNlh5yiVQIzRyiGH36dz6Yd4lvRjp9BY7nkxEon1sSkDhbE6o0PkSLwuC9NfY9WQaLlFDxe8mPU6ZZPsjAXSeX62jvfon5Bb/fHFb6XE2D8G3Z6+LzdvX5CMQIxeSnsgzrjD4H0A0kA2f0eRwx2EcA8/q8Ddp8mD5/O0FtLutzF/VEnz9ZYO+kPn/CVj/jpL9hDMRvA4DaRMcRAf5suYyKGsxzwi8o63OT2rXSvAlnthc0EyE6gq9PWxrzd+VxDhgUolJBOH1hvrkcLsDnTZ3HmJ8Bk/Ru9TN28ama7yfbt9/McfEz2O+DV9g7NWO/HzG6f1xtv+V8n7PfZS0OiGkMLnFo7fc1bm1bZin+cNZ+3y6lNOtOJ7yztGvkPCfZpcAYy7Q5CPL916VXdWnqNTIJwieyY5Wbgthc6lpzW5oJT1WPzwZIpPLKlfWd9DngMVgKXA/qEQ/xCQ/KYpsCLI8GeDARjybiKbX3frJEOvy0OYn1PWL4DJhPGvopBRoeB6iHAdgNVP7IQVmtAK3pXxmUCanxRVMeNRHdlEKlfUx1vhCgQgScB0YPdUj6dz9CDSPUxkElfQWdAtVe5dbgR69xDAqHoPCWLvvRAK9G48FZPCTOnxf1iME+4eT+aHTICK8caXO+pOShy3niY0xGDKQgiggA061Zeh/imwj2XZ+4BdDopikpd5ys774N6gkFofqflRxZ8twfIrlpQKcNvAgk3xbM1viw6/4nll8v/bvKKqusssoqq6yyyiqrrLLKKqus8i8g70baLIUulgOhRO1uzMwubUt8z8wskCDQFZzUg7qlCFIzEd3NxzpZuTZTR40WQ/5fRvK9P0CbR2xSZ4atesZDfMROl0j+g+1F8qkV7MPDiN1zYqL/krJ0X7ZQn1IG7GmXMnUbYBhEJF8DIaQoe6KNP56AwUJZDV0RljlE73JLwJOzOHmNvdd4S1H3BxPxYIGt0dglguCH+IitesbGPOFgHuG9iLLHMUNSAc6e1mTEnKmTwp1dKqgkuEPBIMrmfEbbtJ1Hlsq5TN0SWdqBoojI1NEJUODMfGgZimdRqY9S3Sj7vaUiCV7lA+SDshpdff6x8t5uKaxPWn3eZouW6vM5EuKz+lxvu/r8wRZ9vjP46fX5Lunzx4ROeogPGNQDrHmAC8eMd/HRISpPWdNYnr85Y/tltyaV9TfPg8klnJdkCQFx+dlUpRptp7BL4zAJMfsoPlKWWEGXrih4wEN8wKMesv3e/QL2+9Uo8jOsxs517LfeXm2/AVo/0oKft99lHiTaWdrvJe240wdn//4DTF66hqn9fo98XDnx9eWowJyvzkh4+f0bkDXirWkRDOyfQ6myljvE8rJzlMpI+P5EBEQ4OCqATCX2WZ+rLYbUqnqrnrELD9gZi13q5LY1Co824sEEPKYW20+Dw+OG1vf2Ma3v54Sy+TRAfU60C09bQtHtBmCwwCZ1YdOpUqElDgbq8rNzSBugrnaYEBsTUg+nERgdsE2lULsR2Byh9RFI5YoIAdGRDhk9rb9jMDh4gzcTcqnYq1PYGYWdttj59Mz0Mwb9AK1qHeLiEUFRD8YBhO7rrWwNVXWQomOmlFlKVAx08lVKV2CWqmQKHtfgGmiM+p0mv3a6BnhdXPJlpuvnY9Z3F9W/gMLgToPnsX/WHcBN1AgfJH9tedSdJArnGyg1fWiU9X2FW8T1jEKpvWepHZAZoyCg1QwD99HBhz2seYJNRmGjHvEQttgZg11ikt8ZhcdkEB6SUXiwDo+7E7YPY+40oT8Z6E8bcvg+0fnw6RF42AK7be30sUin73AEhiOxzvO9BWKXtyeP7ZE+9zgaHJzBgxuykXo0Cq9GY2eB3ZjKANwWG/0Iqx9g9ENug+sTDwBD6vn5mI79kR0opMh5KGUOulIS997IlprZskmuukdxq9p/IZBbXYLwMeVX/3TCpQ2/uLQb4EvS41ho9TmftzeWlKXQfZI0xgV9XnW2uXD+8/r8U1efb8yvpc+3mvT5ZqRnsXUbbNUjrNpCtlgOkfhsAnwVROnx2vT0uVYGiEDV+QfnS1WvlfKeiq5Wadw5+5271XDJV2Ix8ihcPsyPYBP33RaP2MYNNkZn+73Vv8Z8vxqNjQF2ume/n+D8dwDX2W9+9pMObThvv/OaXSjMe5HH7HHa5GN9+700MVJxUYB9gsWX+tdKDsLfqWvjRTv2vnGqjlENfYEMBsnOYdUaP6PHc1lU+o8D8BwwYn2+GX4vQZv4iC0GWt9Zn0fsdKTAbArK7ozDw3bEZudgn9L6flI5YKM+7eginna0vrcbCtjw+jamlEdVF11Km8qxZg5yKVQnYNOew3vSIacRSF2usD9mLpwcLHUn2DFic3J4SPpmP1o8WosHb7BLnDc7Q/ZtYzS2fsjPbNAPMGaH0/hHfrYx2U/u3VXmot9Biq5H+AnNfJfAr658jXYPSQmF9/jo8+/0fbkaU2DlB0Q77s5reVFYV18KbIXm9x9Mh/CD5aqgzdIJ+1ERqZ7Ddo0TdymYIydfZnWK9DcSvfaVs2NUzl4hw5SZ2RiPMPpvuSZ+Ex8wwGJjFDbp1BsdsdHARgfsTDIK1mOzcbAPAeYxKdgHQzXwTzty9gDg6QF42AEPO8TNpihvztSFCHVKypoNBZAVu3IB+uBgHqmVKABsDg4767EzHpvk4G20KdeZjNngLDbxAVZvYfQOo/tHvm82jhH1M5ojI87zwE5fQzBX5pr/nfITpRPQ3F/gW1KYOn1zQtm/3rGPD94sNRJzm6BWWd+tHR9wtmZ2lQ+SC5nmc7JUt8+9b0vemzrbdZ4/qtd+edEYXX1OZyrnmerz8qn+/S3T50RK+1Pr85PPraGBeX2+M7U+3/gBGzzAqi2MsplUkjfwLfJiyYZNchNIMmAP39WfjOCRm2ZpQ3rnZ9HNOKoz93PSQ1ZR0MbD6m0O2mzwgI0aqvnOz/HSfD/Zn9h+bzA6gSi70n5Pki64ZL/Tc+/Y7zmRgUQeMyyYY7bf53iU6jGmG4dekKg71g8i4J/qvo/f7JQxa9+ZpUXCz+nZHql8+wlqDq0m41QBmwU8k3mMFJCl9V04yhAd6fO0vgdsMCiDjVbYpKG2mnT6TgdsdL2+h11AAl1CP1visHna0hoHUtBmR0Gb3ZbWMIBo7fKgDf+um/tcELRRzlHg5nCs+XSAxHdD4+gxwIwjhn3A5ujKPY4+3XcK7KfnstEKQ7LVA+j5Gb0BxLMlhGZ57pekCvTn1t89bJ8k8G0TRMg6ZI7QnPRG+ujZfWTn3B8mNafXPfXI/QM2Z5K3nTbZ1+2V/rkTw/866f5VVllllVVWWWWVVVZZZZVVVllllV9Iflh51KWsJstHZhiuyZpdqoPntoXEaTMP2+9lgs+OqwKCgHmG6IAYUySfIu+buMGgNAatsE1B5EEDWx2x1TFH8jfWwQ4BdgeohxR1fhyo/v1xQ5BLgDJ0T48JXr3J0fSoNFSkmvgo6uSJmT4UyPXooPYj1N7D7mhsOwRsrMNGe2wTLHKrY77mIUXqB6WxiXRvFGWP+b4ZEhlyq7/zz66GRbalUqLkIWOce++kmIuZKHsr17xXt0ofXq0hs2P3aPV3q3x0dvBurVZ/mHA/g5+1SrfInM66JH19/iPm594dxq7T51NWjnnp6nOEX0OfP7jr9Tk0hkhZU60tkJA23FI1RF+Vy/Q6SLFI3gl69k1rbvQRDTRe4QorJRPnkQSyvXBdPmEu2gHZOSpEX7qTpTWitS2Z+Lih53TLfO/sz22/xXt+rf2Wz/se9vt2ub9+mQrrytp+L6EFm7YBvuMzWHCu8+j0/vd7x3ke55AKS9GNs+M0GXte39PuUZd9dEZQMnIyZCRdaoGthnp9J30+pFPatL43OmBr6vVtHiL0Nl3Pg6VOUQ/1+q6QdEPitLGpU1yLnmGEzRyXjZRe96jmHNE5YByhJEqPz+987kynTh76zcM8CMSeddgaT/ed9IjVpO8GrTCk+ck2I/GD8rMNDVoPSHNxoe03UCM0i/5I32vKz5euIVli2W9RX+updgbmOlSd858vcXDR3/rn/Wi5v9+/DH17tfwgbs4fIT8Bp00Nh7ybxAh1huj4Gr6DswtakE9JLoS6Rt8sGpPr4WV9JS0KC60HmDRdBhaDMhi0QkIpJyUYMeiATTIKw+BhtwF6B+hdGntridSMoZYAGYTdFthuEYcNGQMA0BoxBMC4XL9KF5rqXI8Jcr0dga2F3mlodvq2AcPgsTEegw7pGiMGDRglnT4DEy0MbGqXXqB9XGuanfwzgTRSptPnXW3A2FHKSnDewVj6PkqYZBFDCjvXhi861UWp4dW1w7fKKn+VlNa4HzmI1OfALcGhS5v2iJicuvP6vFzBcn2enfzgoGB+SX1ubbioz63SsNFAY6gc8KzP1W0bzBy4Yac7Pc+PEFled02AjqW13wBt6jToeVgY2LSpOzff1oZfz36n5xUCb7iut9/y2Dn7fW49nytvPi+89u9vv3vy43ki3if3SE5xK+72xt+7B5h7v6bv0Hk5xznJ41TrW1kYZfP6NtFg0DqtlbROdIRREVZH2LSerA0wQ4AeAJXWt9oYIhzepTUO5LUeOSibiIij4fKomXu6tjyq990QoCwFa6JWUFGUXjFX1jE1YtmPUDsNPdB98T1aHWDT/dOzoOcy6JiDNiYYaDXAKAs0e4DMZXMm+Es8aPObcjnvc+8ZldXeLt3zxriobHPR+X+KwpiAJVwzq3ycfHDQZmZTfMHJ/5iX8x7Gpon4dgzuua4FZ89d1T7KTJ3rGgWl6fmxUTCKlOKgI0yKaGsdoU2EsgoYktO7McDGUrQ+Rewper8hh2+zyTWzuSZe66wOVYiIGw81nErEf2OhNgZxMFA2ZR5MhE7XMqTroWuka+YYtFJzCptIyGJDsrWUB6GV3rzwe0hO9r0CIPd/d88Rbs47ffz5VbF+pPSyKf8K8mOZ9O87Vq9bxNz6WqLPz/Fr0XhSt/Sd/B+qz629SZ8bE2b1OTvkRimooGH0kEgf6+fXZk3LU6mP9Tbxc/Iefq05/pGetEG63iaRM/HtGAoahrtMBg2TAjbn5tuYcP1873bIcI2/0H4XvrjLJJm9DpCTz8ysQ+YQqo59SPb3x8iP4rM5ew3CP5dE8ufkYxHyNwROY0i+UX+zrnPw9/x52kBAUJxMLP65Uhpa23xOCjYCSpWgLAVsAKtCtb7NEKE2oDUO0Dof0vrmLlGbAXEYcsAmDimYY22t26sLlYij2TZpl7/rPaIrYazoEspk46ib1JA6WqVrV1ZBbQAziHvUEVYFpMaISY8oKKXKJYB4KLW2eZ7yHoDReuI2GMd8SZhIvtwy36ueoCGXihJ8aR8hl9BzsotejL9e4Pda+ZE68S5jfXCwf93RrbLKKqusssoqq6yyyiqrrLLKKqv8hPITlEd9hFwZOVXLypekfGSkFaijv1zzKyP5GgpaoYrkawUoRGhVMrPKRPoQw6OtoZ+tqZngrSmRewGvzlF3Pubd/Pe1yiAYlTJ1WsWclaPrpSh7bnDBVaep3lhGOX9ENv+aedTQCOqW6/rnZTJ/j/yrolR+RrlnJuOvzhQvlVvQdUvLZVoET13umjgUhD43SmX0BfDB+ty5u+lzjZh4gJifothRiYDhzkFS+JhZ+EyrrDkMNALCHbJZ0v7L1rDXSHt/sj2tHCOPkzLxKh+703wr9UPst9GMECr2m+6TM8CihKRCJy9Dyl5blvartHmVGfJ7nOvHIh7/OaSHzFuC2ugJPf/Unj5z4xSWw+Lnsk6PMJp5riKgI5UumqQzdVrrvCYBWrtpvUZjy1pudbuUc+2+803ry9/l+wwByobpNemim5RWiEaneyg6zOhA9816DWw7ynMnBhjWv0Y82+ukN49363T6LyKE7Gfhd2PVMz+L/JMGbX6k3HeD0oP69pwcdvqqY8nhU4qhy2XpVTXtqqmD1RqRj7U1ss2xqDRUq+yVMDjVNdK1sBMqt+jSya9lqrDvHyDj+/s1HL1VVlnlR8lCLqsLJVHnxSwKbL1Hn+d/P0Cfy+tTIp6Qh6BioIv3xxJVuFhi9rPKNRw9hWutPDB+dkoV+/iR9jsfk//eYL97Qu/07RukvKYu7p9X+73KjxcZlG2TqlI4oSrXdE/y+q6o2jhoM8M9I9fyXNCFj3HwZY63Zul3Y5wfS7Ycz8qs/FnqMCmt7ZA6cS5xe6k5zCqr/CvIGrR5t9xXkXS7JnSySDEiEeUVZRehEKJCjCp9RvwtCB6hGCaReBUDkRaGUCvs5piS3+V/OaPWsNXHdC2Br0dea0o1TTNOqWZWbWafyftlVf6rrLJKT5bphqACzM3Zcr8oi/gefZ7//QB9Lq8vxmmTEmIZWb6h/lUDNoC49gucLAAEIW95YPzsiJugnuePsN/8+erfG+x3T+id5udwvWsZFgfAVvu9yo+XqjvpGUR4QESI9Zrukefk9S3/FJJC7ZEI87/8s1Jljd+KtFny3dCxEdXfmZyYlVnnHhuJieg7f1V8SXYKrXiIVjaPVVZZV8Eqq6yyyiqrrLLKKqusssoqq6yyys8o/6RIm+tiUVwPHdTyaO5Ht19rI/kxBoRYWmdyNN+nALWPiqL7KJmxEBSiV5T84pC28/Sz8/Q/UH43bgqj5vagzl3+fog50Ra9QggpU5yyDXS9Cl5kZ7mpd4i+qoNvn8FHyTXzGG7uMrXGRnsSL8DtV/lxIrNbdznXL9DO4JZa96UIktwuXLQN539jylZKfe5jhA8RPunuD9XnMd5Nn4dUACCRkwxjl7pSY9o2vXfsnNTcKD7r4/dyFkj7r+ABDFeX5Lb3wj9TF6zabtB10zPLzxJ3mm9ry9x+oP326Xp8LPabnmXSI7pkyWsuomXzfQ1SC/h1eCvuyUGz8tncJr2OZgHxpsI+RsLLrnhB9DQrfi7rdAUfaA2EoICgCOHmC9pNMdqG16dzeb0q7RDdTElTdUMLukfNlU813aPgHJR3tc7gawrFmef7iCGCycZCoPsNUWXbxs8loCBsqNcXd+Waou2XSq/t96/Cd/WzSG37Vh3zs8kHB200epOuLsFsEX7Kkhhu3Zl/79xH2+5z8bkr6KUphIjKAtHBR4eAEQDglU/QS3KaAAre+KgwBgUvFGbwCtEFYExO1clDnRwwjvQ/AHU6IVpDRGJAl7hSjSc6Np6gTqfq+zg5xJMHRo/okhL2Oilsuia6xuTwxbJdj5HuJ2CEjw6ILt+3gpk4Y7e+F7154fnrtaa9Xe6v5M5tIObX0hoo+hHyrxp4IhLMHzXafd9lcrTTz5huLKUs0eeXOFlq3aJ/WX3uvZ7V5yV5EBFVgI8jOeHsMKdW0JKwUwoHOVoC3yXCY9yiw69x6PmaCjeNnlxnIdOsx4igZwIgPZ+Ynx3Qn2/v9S9rv3nNLpmTJbxAc+uwUL6KY3dP9vw4W/ozkLhLnyLGQPrtwnc+si1vmfvl56dW5QrSH6v4URaue+ZayVcQdbXGlbKUUA2uCsJzUFYG4V0AXNTV+vajQjzFvO7U6KmV9jgCp7Q+BwtlLaJlkvR0P1zaNMdZ0ytlmuPKmftuCBSwOY2kO7LOSNc3jnS9QNYf8QT4UdxjUHBRw6VTsh6JMWYfggO/ITiRQLLZXrQcckuJo9t5Lu9AKP7/le/trXu8xee/EIwluyqS279Chuwd8iN14l3GmhK13lV+AqQNZ+V4od7ptErlDZXqLLKAsNgESCd/IpHixUDZXMcYqvrsUsteO32tUK7OpCCCyMxGhxBGeJBy9HAYo8cYbDYKYwDGoDAGjZOn84+jgTtqhENAONDY5uiA4wgcT8DhSAMbk5W3CpE6TCCRVMZAEXV2+g5HYH+gf4/p2HEEji6NQ4fcUWMcDU7eYEyZBbo+clDHFJ0fo4eHgwfdY8xBG50Mr66c5DmpO3dI4ymzs2muLijFaxZuf3Ph6d278+KtlfkaAV/l55Af4jRU+hy45f3nDeScU6SgFulzlmv0uVYDHdOWUCK/oD53Tl/U5y4GONAmPqQgBT37os9vEdbpPyJrKjPx1yI+AEzsNwCEOOYgnYOHiwGjQFb15ts5/evZ7/S8tLbQarjJfstj5+z3Ob1zexKG1/797XdPfrUN1z2aQiilETvP9r3Iobn369qmFgGxGxTQUQMJjV+t704QfowhrZW0TgIHbhRcWk/OafhRI4wBMa3vePJQhxHYjsCQ1qel9a1UQuUwH5n1fdLiHHBZkFWR5OPyPPIcjoJI6iR0zvGUdNBI/6drj4eAMAJ+LPfogoYLqtJ1PkbSeWlu+onb1DWXUYtnEiM9hI2UCqU58569lzOne16l7hZ0+OiOxcvkfWTzq7xf/vqw/iqrrLLKKqusssoqq6yyyiqrrLLKKhP5YUgbija2kPqANmr3sTDLsDhaSbXo81k2pTSgNEGf43wUt9S5hkXxSR0psswZSa0soBR8OMFFSoOd1AljoEzdMV3iGIBjUDgGhVOgkU7Owo0a7gCYfYrkv41QDydgsMCQouY65RVCQNz4HH1XuftEpCg7QFm6/QHYH4G3dOzthPg2Iu4DHGfqRo2TszgFg2OCgx5Tpu7oZaYu4KTp3nw45eyWVjZl6abQyDmpWjI288zzEmMoGXt1vvXu0sj7Ne/VrdLPDjTQ/IZt/0fKR4/7M8DGrxP9y2RRW527tDx1WiJVUCofK/dHW1yjz69BX3T1OfTPr88P7jZ9joBRneDiESFwqQyXKxhoZaCjEc9mfo2UUqmEshHPnfjPztnnYm0VNL3TypxFWVIZE2XT5Vgh8eecs98aiu5H0T2qyOUTzF/h4CLNz6hOKRN/w3wfHNTbT2y/xXt+rf2Wz/se9vt2+REcGFNdufRelqAGbpZzqHIx5ty1kk3oUCJ0Ps/z2HIZlr/Xxwgdf/4ZVeMoXa131u1B+GuJkSmfH+gjJ1VC2XBpVEZOprLPEMfu+ubSQpfW9yloHH29vv1ewRwTembvEDcj1OZECBsaJD2AAOU9kNZytLZuuZ0fVMyfr49fKI+S5xHnUM4Rt41E57EO2Z8Q9wlps3cIxwC/V3AJaXNyFkdv6L7FsyBkYcxIm2wzBDpTK0brNbQUM/qknUf2yyViL9uMGOj94HMuXHvn9hh0/qmeknJu3czJojX+T+P3f9B9/Lha/g+Xq4I2S297TnHfW9gZa48tFVpY5wxQgdNneHf1WQ2gKBm+Z2kUQpw6INUYkZ2cmJ17BQOTjILRWyi1hQ8HuEBG4WT3GOFw8hGndOpTUDiFiFPQOCSjcHAGp5PFZu9g35JRePBQryco2yj7RFioBmEsWJwv9e+HIynr72/AK3l48fWEsPfwbxFun5T1yeLgDA5JYdM1iuv07OQ7nNQezh/hwwFKbfN9m0ZhM9njpRaxMdXHSoMs56c4S/SMe3N7Dl4tFfNS6b2XH01mnce5wRmsvt9srO6qqP+JlOkvI+/QzTz3F+uuZ8pdl/CPLCUulcFSWe5aeFTO8cz09Dmdqb0Hqc/Lp/qb+GX6fKCgzc+sz1/dIn1+8LU+P8WR9Hk8wkeX51mrIenzEsBaqv+k891zzNvz6M752Vfgv8mEDM+tShw1cpxrAvIqz7fO863VAKUMfCxBm5Pa03Pymzzf+Tlemu9XB7X5We33CUq859fa77ZE6rL9LoGxpQmLNtDHa/vSHF/zzs4FE5f6Cz8qQTH10w0AN/fxu41JG4nzpUxMZk96dvrZNqk6fWYpSUws3vUYMiCrAhB5nPNpVS71o/VNWyejt4CyKQgvgzY+rRP67jGtnUPQOSjL63s4eJjXZBcHBzVowGqoNojiEt8Nc9twWeSSoE0bwOFgzYKgDZERe+KwyUGbI/B6QHw9Ir6RbgkvDv4VGA8ap5Mt9xhMum8O/gInD5xCxJjWCgdtKHFbnq3Jwd8+F1orFU1CmtspBw0FVMr55oM3c0HCVi/Nr+3rA0O3S8P/ecfx7p+APBMY71z3dXulf27i6V8tfb3KKqusssoqq6yyyiqrrLLKKqus8i8hPwER8ftFEv/FyBkEDUlyfH/kj07tW2NFWMmw7ZLtpX8q9M0MdSXDq40aMvzSKAujH+DDHi7sAQCn+Ia9OuIQdji4FLX3wJtXePMae0/PYu8s3g4bDIOHfaEIud54KHuC1iJ2GiJl4o4nYBgELDPBq2Wm7ngiWPXrAfE7ZRbC9xPCdw/3onDc03W/HTbYO4u913hL1/PmFQ4+4uAiDoGez14dcYpvcGEPH/Yw+iHfN2dnJZy+J9wucJKpE/OQ5wYhozuUpmzMPaW8ayGfW5LW/Sh0zc8kdRbznzsKfjf5J2nnWrqP6EVlV5z9PafP+by9sWRCaAmcvkjSBfG8PufSjRp9M0NEfFafv3b1OZPQ/ir6/BhIn59SJveoTjjiDS4eEaOH1gVxYmChYao5UXHa9runz3NL6Q5C5l5C76epM/GyI0zHfueuVxGA8mDyaZNcK0LaaIRQyieOeMNRnXAKDzikrjHH4deY74MnlE3ffr/eZL/52Ut0U0hr7pz9hrrOfk/9g/nyhjn7zXIpi123p/8I//MDJcMj73PNZxt5AHivT0Bd3Gr/ipFX0vcvLaXb8sf5++TyzYwSSyg6Ln/M+twfMCZ9fjRvOGLEyW9xSGvn4DUOAdh7hbfksz9Yi/1xoPX9mkqzhghlx+qtViECJwfsUlnkZkgXp2gN9BAy8n2bIyTm78l3OZdiifOEmDpFuUw6jONIKJtvR4TvCWnzGuFeFU4Hui+6b4s3Z7D3CoeEtDl4hYMPOPmAY6pUOKo3jGEP7w+VDmGUqrQTPBNzUpcw+ebf4p+3frlc0+8lJT73Tt8XcRN+CGE68FeQpi/oPNiWr/9KevZGeXfQ5hIHzQROrzQwmXx/1aWUsqULyj4b93KtLfzyGpmwxsMgIiJyK0/hzFcOSILpVZfWtInVUAgdeLXRWxizgzv+gZN/BQAc7Qv26g2H8ISjp+e2dwZ7q/DmFV7ZKJgBmzFgs3cwNsGrzQhogsDqpJiVC6SQtyOwsbUyz0o7wWaPI9XAv54QvpMj6b86jF+Bw4vFPjl9r+OAVzfg1Rm8eTrf3ivsXcTRBxwS38Fev+EYX3Dyrwj+DcP2S7nvDpy+Vda9dqFBhUntcoZBx1HUmpoJQ/21UjZ2of3Dovfr+i4XzTuv1AROuAwmvlC5/aDypV+F/+XXlQ8yZl19/rFyTncv4UST5RqV46Y0IlA5+Uv0eUCcuBcX9fnpW1ef713R5weLn16fH5I+fwtkA/d6jxF7OL+vypGyAx5t5Xyfk6y7VdmwS26CUoJ3/jy91tzVOLF28iN0tis830v0JW/sTLS5JbBRNpVyBDhPm7rR7LFXe7yFRzyJUqif3X4fPLB3wN7N2O9wxLC5zn4D084v5+13mQdZFlUFAi+9VwtLO3+IdOz3e+TjOCHnguSXgvCm8zwNFFRTtnJ9YIvXWC8ZwP55PwhfugFyED4i5DUfZri2NBRsCjxbWcZvdhjd1xK0iS84qD0lVdP6PvqINwc8mhIE3Y0WWz1g2Puyvu0I6ABgzOsbJw/1MFBkdzA11w2XR8nATNs96lzQptc9Sp4vcWJR4NeXTlH7EfFtpDLa7zTe+AIc30iHvJ1Yj9gciH5jFeQjJW+Dw0GVZzaGPUI8YrBFh1i1pecNeyFQExFVXerIXGTtvq8EfmveMaAtqb3ONy/J2nJVdI4OR9ICv38Jj+W9pDvWj9KDnET/ifcAP1Mw6K9F2sQIihT2/rTM+LR1uRTVZ6PAcr5mudS09xcS8xIAbhLJl+PHGKjtpa4j+jk7m4yCinNYG3L8bBxyps7oLaze4aR3GN0LAOA0vOBgX7DHF7x5Uo6sFF+Nwi4p34022GiLQW+hDZP3RQAOCA4xZfn0wUHtR2BroTamWxMfc3GuI2W99wjfUz3qV+DwzeLtbYOXIxmz19Hi22jw4jReHU3wm4vY+4g377EHOYwH9YKTf8HoXqD0Dlbv8n0bWNg4XHTuAzvWkIY4/c+8FGHMyrvdqBWn0uT5npNL2d3clhRSCU0JE98dWImBYQgXz3OdfAwSZpnS+zHO5ofLD8p8nJcF79e9h8yByuuC8Oek0ud3DML39fkAKFWC8MLJP6fPTZwG4Vlm9bkaMLo3APP6/NUp7H6EPj84hFd3Vp9/Pw1dff7qWn3+iqN/yXw9RqfNDQrqghEXPSc8b5xEMJ71uY9jFTzL3+nYbybBlfMQMOU3mBDepgCdT++AURZMhNzON5r5lmTEOUgXBxi9xRj2+ZkcwwsO5hV7fMrz/eo0Hjr226oBgw7n5/vkf4j9fnU4Y7/foNRwtf2W833Ofpe1OGb9qhKKqbXf18i5pItS8/b7dhHv34fY7/dKe5/hrG4t5L3LAuXV+WMhIi6HamTVVTpd6bwZzsgJoc9DdJNgIBPLBxUQ0vUY0I5B6icNBQ9CixlYGJQgvNU7jHjB6CgIPw5v2KtX7MMnHNP6fvMaD17hzQO7FJTd6oitCbCnAP0mgy4O0QWYE123HgPUwUHtRsBqwKT33c488xCpNbhMuLWBmxzYVYU7p+XGSRJdAHwAXEA8UOQlHj3Ci4d/jXAvKaj7Qjrk9bTBq2O9ZnPgd5+Cv2+eAv376LDX6ZnFt/T8TKNDBgr0NwnufFvtLk+VRgE9ImJ6B0iH5H0A9E2k5rVu8tO/TRK3y5H2l5MM7d8/CMF/JmlbBbhu0o8/TyDkV5J/vVqNVVZZZZVVVllllVVWWWWVVVZZZZVfQK5Oh34U/LJky0J3jBj9daUkSufMLAc7e/VvUfnF0c9JJJ8RODFFn6PLdbM5sqtCieane5zrOsIdRwwGWEXRZqu2GMwDrHmC898BAEf3HQfzDS/6Mx4DZ8YMtsZgZxS2KVM3aINBD1T6qkrENEaF6B1syr6ZxwC199A7jTgY0TJUUcQ+RIJGAgiHgLgP1GmiibB/32/x7bQBAHwdB3x3baYu4nUMeAsOL5ru5RC/4ei+w/nvsOYTBvOQ79uqHYzI1F3qPCEj7BkWWdWyOiC6ClFzS5Q9n7PKELUZ23jTOumV/HFk/aPaik9RMNN2hXeHLi5A3vxsbb5vgkj+ZPdwjbBevOq9u6HsdDLuRQ6E/lq4lJltOwfN6vMMp3cIcbyoz4k7p+nc0OhznTKzv6o+/+5s1uffx6LP9470+VvKmO7jV4z+BT6cYM1DbolLnDaEOMrIiA6fDT/Prj5Hw3HC89hA2s92JuP5jgHcKadC36RuI1HVXDaX5ltDIyT+JZmJ12rIrWtzeZR/wV5/xZv+hLc034/O4NUZbHQ73xH2FM/P9z5APbifwH4/VfZbY0jv/nn7PTvfYo5DHMl+55KD8/Z7Sblzl9MGvSx2kbvZpKtLgT7GjpT7kTo3HYt+ok9Zx0YxD7eMGRsdn8tWGomRyhXpezNI+HQu1SCi6JnVSHjPOr3DUcbSW98A6Sta30NG0lm1hdVbGL2BD9SN7ei/4WBf8Kb2ePO0nh6cxqvR2Blgk9bnxmkM2lY1AQAQg8LWO9gx7ReODnrroTYj1EZDWfp+VKK8KXPQJPRSEMdCOVY3v6XvV8fkOfm7MSK6iHgKiCc6VzhG+D3g3jSOr6mk9zCQDjlu8H2kYy9O48UrvDrSHwCVV755jze1xwEv+Zn5cIDRG9iEzrSKSixNTGWWZzixpG6uOvdGjxBH+LxHY9SNniBFKqTmhRbcXT9dIHrKiZZ1tZsdC/N7jHQQaNbF0k56Z8ed3MfHIAJ7bdF/TflxqKEbMez00l8jRETJLQV5M+CgwIGg6XeuKZHKG4xMXCk2mgJqKWviubVcGc8jqL7BbzcSeWEoPYF0huAQNCuOcWIY4oxZ0FAw0cIpl50+MgoPsOYRzn0FABzHr9jbP/BmP+MlPAEAts5gMyoMWmNIl2+1hlW2upsYFYJX8E5jeyT4pX0LsDsPvfNQ1k2jSh4Zih0OgDsAbq8zaeF+P+DlSA7f11TL+m20+O40vjvg20jffRkDvjuHl7jHm/5G33V/4Dh+BWKANY+wujh9BqSsTbT5+bQiSSulsg4JSh9CrawpmFK3Cq3meEbIiewFVDwmwZsYqiBHW461ROYCBDX/Qmwcp2VtEWtZoGzy4vxRAQg5zm2OYU+qwNMvHEz5K6TlJuvpcwn9L0F45O9d40hIImI6IPSvLFtq9DlzktDYc06+gUKYBIbm9DlD6vm+Qlyuz3Vy9IcUhHc4Fn2eOG1O7jsO9mulzx+cxWakDfxH63N/BMY3jdOB9CyXybT6/NtI+vzFTfX5i/4TAHDwhavHSgcc28xnMxeoyffU0efsEIfkfIdU8jD3TtUcJ0QuzNwycyI3jjHSfUfVn2/AoEd0LXlt+L6t3sLqTQ7anPwrBenMn9gFsnfSfm/TfBk1P9/BK2yO9CyGfYDZfpz9fhH2+9X5yn4f3FecHAVwWvs9qB0F5s6Uw83Z77asQZKCS/stpdjZeZshyWjpvH5aZsk29oaS5mqsSSKn9+7Vtk6Wa149Zt6335ZYZb+5PmftNyu1/Py83iZlFJN92rTUkdbW8jJbpSh5qsXzy0F5mVRN8+0heChVQBA6vtf6W+eCS6YaF/65IX2e6Qscre839QUvaX3vRgrIbrTCkPypQRkKwItxeH07p7HN69vDbGMiKQ5l2yKnID1CrpxpK2jaeZUunYzbdbm9Az3C6IBEXQZ/VBgPBseDxfGYAjTHLb6fBnwfB3xNQZvvzuBlVPg+Aq9Jj7yOAS/hhDf9gkP8lp9ZjAGDfYY19R5APneei57k4K8qa9ljzHqDjqXErQj0Sk6sa4ABOaDcTSJN17osx2K5Nricf+7sD24N1LTn/0j+lqXn/ojgePH/31vWdYV8wPlvJh5YSgI4FY3auY9nE7PF+V86jtRASozhITO07BScO2vuDCEMVW1MNZSyCKlWPURH/yNkpzKobTYMMls7x4OgoWFh4Runb2Oe4BJBl3N/4DA+41U/Y6sfAQDbsMFm1Bi0wsCZNqj0PGxWISECY9A4OYvHkRTU5uBghwC7pdp5ZZrIv1cIiTzNHTXcqHE6UWcLIJEWjhZfxwHfkrL+Y9T486TwbSxO3/fR4yWc8F1/xWv4OwDgMP4J5/6AtV+wMU8TJ58IyKazJAmIc/ZbKGuegxyBT3MTo4NOY3AHsGnwxixSppkcscrOeYoeK372LNcgeS4rtjpC/X5lfW6cjyQI4/v4kSRkPeX9K8jZrMQ7DPb7DFfR53R9kYKWpbXNFcH3Hmkl84Zp4WmWc58TCuTMjzunzyUHQogOPjqYdMzHEVZtF+tzolAMfX1uiNPG+e84uK/Y62d8F/rcjqTLzRl97oL6Yfr86zjV59/DAd/1V+zDHwCAg/sTzh9gzS4RSSZ+gpQxpcBN6cjSCvMSRAQ4xfMwwqf/eyhHXs7t+WqOm7orFH8+iHPlf5XPnDY6jjDKwqkRJgVymP9iGqSjDmkm2sJpowZY0LPQmp6l8wcc3J/YqIc835tgu/ab3ssZ+30iXpl7zPf304Dvznbt9zcx39/CsZnvrxllM2e/TcfNvGS/fRyrDDmvRSBAqfP2e07ON67oZZZr3dDK0g2e5KDI71j6j1fCe+ScHX+Pfi/X936OsnwNsSBgykBTkulyDTKg41O6uH8/8j3QykKl/0Pq2sZBX0La0Hm9KknVvDdQAaETaGQspo0WA+gdHLHFoB9In3tC2rhwwNF/w5v9ihdF6/vBW2ycwsaYvL6NBrTS0MqWfAQUfFB4cA6nRB6+OThYG2BsgBlCNmmMvouxXCPHHIMvATj59/p5RQLWmLTHEgGcCbIvAH7U8C7pEUc65Dha7JPOeHUDvo82oTLpc9+cwnenCKXnaJxXP+JFveINX3H03/IzU8piY54wcOAXWwxxC5tsRhusYe+b56xw2NA654BNiGMO9nPilt8PgN+V8zqkBOwLGrCVCi2W3+Upouf9snz/fE6uDs5cieD5mch7/1q57z7j19q1rLLKKqusssoqq6yyyiqrrLLKKqv8i8iV4fPr6s/azk75OBgBI86cIak80rSN3+JxJdoGQJvlkCKjo2dbl1PxUkHfQENrixAHAeUfqTQqjAhaZAnVCI8xZ5wYxtfjQYDyxFAvMnUDHuHMEYMleLXzrziOf+Jgn/BiKSo96A2s07BKiZpvBaTsrEuZ3jEonILByWscEov9znpsrMMweGgdoXXpVBGjQgj0PwCMo8HJWWpR6kqE/dto8N2ZHGHnLN2fx4hvqfb+mzvhq/6KF/w3Dp4ydcfxT0BZDPYZg3nCkDITnJmVrPGX6uEZ8uoxpuj6iJDwnCEQa3zuEgNAa5tBr2phadEcfLA+VpcP3voeTzqbnFlLk+M38eksj4zLksTbz9f5+x3hhIxMuQ7Nc1s51n0QSS2cfkbf/qUdR2qdeo0syfqqhFZQZ9ZPQU6WNcLISdXw2vRKWPicUp9zto3mv+hzKneljoA0DumZkLpI8Rjv0ef+tMdx/ANvZofBJqSN2mV9btR5fe6i7upzawOMCTfp8xdn8HWs9fnXjj7/pr/jBf+NN0/ISS6VGfQDBv0AmzLSQ9xm1KRqOoFwu1b5LDn7zcciPGXJU7lrKWXoz237+xLEbi7RCg5KczthnxGVk/lWChAZ+YCYuYxssvVD3MKlbLxLGWTnDzi573jTG1ibno/eYHC2st/ozLePt9lvz0gbp6+y399O9Xx/V9/xij/yfB9HsuP3sN9VhjzxSLH9zp2jwGs0lTWkluqX7HdVfhfle9WWNviJ3pUty9tjc/K+LPP7beD1CHUSKl+a+uf5vEK/Uqmarv7WK1mTCKeq66pAwk/LXQulwdxaL744oKsZRi5/IV+vIOH5vIykk+iM3AY8RqiOPgcgeG3S+lY7jNjBmoesu50/5BLIN/UMAPgWthhGQtmYXCZDaztEhQRCwRg0jl7j0RvsEoJlc/LYGA9rSJ9LFEx59gkTlRA2ISr4oCd/L88ndcrSAVqxvsDZ83uv4ZIeOXmDkzM4eIO3rEcscZ45g2+JB+vrSeH7GPEyBrwkXq1v8YA3/R2HWEppqTTqkUrNEjpzUDuYaM/y2RQum9I5SvoEPo7Ve8WIG+48Rz+Xec5lUphH22fUzaR0U7y/CW0/RfNi8nN5xq2/3+lI1ZGCyLxezndVjl3f+d4lRXkMpT8IcR9m/HN5H++nYWjH+KjqgR/Q8rs4+W3NLN1UXXzJUNKlL0br5Gc+GzlWjNkA9IxCHhuXydXkQq/JK9nJd9k40F1zmU7rhKbtRG4DLp0/XTl9HiMG/Yit/QSAjMLx9H/wdtrBJKiwtTsYZWGchhIFqxEKEQou0DVS0EZj7zUeUlu+nfHYaDIMRkehxJPTFwmyCSRlHUhZ75MCf02EhS+pBh5ACdiMAV8dGcg/1Xd8V//Aq/s73k7k9I3uH9hu/je29hMG/Thx8lVyyaREFQosEqUePjC5XCqLkhwIMbX6k87dtSTEvSBKG8Shmnhq9dcq6Wucvt44JOXfVilUpII3ynScnrxXwfWCNe9VcEtblV/zbD6m/flN0m29+NcCJSfcYeJ9bIPw+XiGD8+XF8hgf63Piy2ZXXsV/8KSkqyiz4kw1iLydaVySobUA4CPDlaRM2gTr4HU5z1em0v63IcTRvcV+9MfWZ8bO8CEj9fnLmgcvH23Pt+faPPu/QGb4XN2vi3fjyiNOsdNMKfPfXQUMMv6PHGbNKeQTndf34b8uVYLMfdBVAYaHCRxMOjb71YP6rQJ4xIpIJVHqS1s2tgBgA17nMZv1XzP2W905vvgp/O9Mw5Wh7va72+niD9PZb6/qVd81f+NF/efZb7DHoP9cpX9pmc4td9yI82EsdJ+MxeFrsoarmwi0OGHmHDapDBAb5N1aawY/cRP6I0NpM3W3TdDdcJoTphbplyrTr50fX0xlbtyUFUBuZRp7npb/jN5rAxQguN0zYm+YLJxDZM1PntPqDfIxT9PwaH0PvnocsGhj5RQ9WqAS++agYVWCiHW7y7rLguDyOsbFgMe4PQB3hAfWQgOPhxTiRQnVbcYgoU51XMOKIQI+JjWd1Q4BoWDN9gZ0n9bF2B1gFUBRtWk5HRfCiHfI+Ai2Uyf7GVIQRwpWkVoBRhVSplt+lmjP4aPlCAAyG4cvaagTdIjb17j1Wl8dyqT1X8bYw78fks0Ei/6O97wRyIfPqbrKaVRA+iZmWhhIxVY6o4eaYP9Dg5euaxHqJyWdQnrkTGtuuKP50DilT759Hd+j4GyDqckwa1cJD2W+2P2fXrBlAasoBoddl5anTUtU3+vXCRVvuNYP0r+CiLlDwvazKJsZDCl2qjxy14u6VJmljgQ/GQsMkgmv9ABMeXB2kh+IqFTpQvFJTLiyUJXFkpTbXj0bxUPAgCYOCKoLQLGXKNv4oCgKCvcy85asfEwasCgdggo6B03nBDCCafTf+EtjW3UAGU0dNDA+Cnd44AIgzEojMlpOwaNQ1B48xqPqZZ1ow22OmLQAYOmbQFAij1Echr5+2PQOKaNQlHWCq+O/i+kw6Sov7oRf4Cyr1/1f+PF/yfexv/G6fRfAIDB/hu2wxds9DM26iETdnKWzsLMZugAVPwHmUcoBcqksg7RAdFDmcdcyyqzPnPvWYmqc2bfi3eokBgWhZRqZqEgM4J5fhvunDnpK7UmiJDWz/k1coMC7PCK/HLEvf809bRTR/9+woo41MF0NUW7tMI6d0pe2Q/CR/UO5GSjz2OMgApTJ0DVTv5cEF5DIyhANcH+rM+Tfgjx2NXnXvCc0DGhz3lNJp3FyAsOOHX1uU363H3DvtHnCKj0uY8G/kZ9np8VyAEHgKPXGCMFAnr6nPlrvs3o82/+/5A+d98AEBmtdL6HyBwnU5QNwLwEJQjf0+cZORlK8CxG4qO7R9281OchOigEhJDeATXCK9u135yRJymbCp5zvm8K1NHGDgB84r84uW9402yLzKz9vjTfO2MwqAFbkzZ1nflear/Pzfcf+j/x4v8T+/Efeb6NfsDGfpq13705p6TLvP2WfDbSfrdcFK39Zns6lyEvJNOdwI2w34gxBc76hMdLRY7XS7qwXMrAt+erzyk3dNfLNMBiiq2P9XV2rykH5y/56RL5I5EmNEzrR+UGD0r6XnrWZyLf3EDF8g5obaGCRWHuDYg5GFgj4WVQ1itH6EiU4GLh4aJgDj+3AVt45eDwCG/oXfXRwfk9Tv4Vb4mg3ZodBrWB9RpJjQCwKbii4NPknYLBwWgcTMDWJI4yHTCoCKMirJ7OckjnoJ85uELrnq5H5c/JxlCsK1IzKhhFAV+TAjqtuFDsxhhJhxy9ynpk7xXePPB9VIL3LOLb6PDdn/CiCFXzqv7Em/8zo2wAYLBPGMwzBvWYdcgQtxll0wvYyH+9chkxxYj7jLbPnefoG0g6hDnGMlJvQQCY9438M/1biPKrfWi+5hqpt4QL6yqUekYIi0Pv0lk/KFnZ6K/7yoXz/uD9TD0f70t6/2I7sVVWWWWVVVZZZZVVVllllVVWWWWVfw25GmnTy8Au4iqQaJgcyfcJ9t9mR/vnlO0ee+cHGC2TxuNjUaG0/a4jcJc6SAElMyujnxoywzPwRSDGI0LYZdhf0JsUzR+gReaQuVR4dN10HuGaWYuAGLcIysNrihZvzYgwjNhHh/3xP/J9YwPAACGkjMH4CS5uMAaDMdW3HjwIWm0iHg099JKZraPsKlXpyUj+GFTK1FGGDkgRdhfx6qh2FUidJtwJf6rv+Kr/m475/4OX039gf/wPqFTfvx1+w9YQtHpQj1Vmdq7rBLcJBUCQSKTuIijtYEMc4cNRtPw+phpTWctat5+9lKljCZMoroiwx1S21KB3LrHT99uJ17BIPn/6IyFtOjXkl2QC7TwTlb4E3742ol/V/J4Z65pz1b//BQibbunSv5Dkd+A8cvKqU57R55R+7XEglLbf5bvnO0ix9PS5wgkhHBHUpnBj6ZS9S10B6U6Jr0wLa2Kqc6v8HFifezVikPrcjjiOfxLHF1Cyfhr5lQ7uGS4OGIPB8QP0+SGhMd4c8OqwSJ+/nf4Lh9N/Qacyn439hME8Y6ueEydB4vIRpVH9cldRTpyy3qzPuVTGCX3O35uby+p3ZXKpleTBaEVmS13iwdDawscBXpWSipB4bjKvDQDJbcMlUnzfBV1F/BbeOGwSuuqQEKcKGnqjZ+23nO+DV9hbhVf9sfb7ux/xFS/4Q/8nAOAl/Cdex//Gcfwzlyht7Odsv63aTez3uTbf9HNqywvxDgg+usxhFI5U1nDGfp8TiZSVxyZlljFku3qN/V4mHaTsz4xgzUh48Xxm1twcd9j8qYU+Dy4jJyXyqdf2e0kHKf5XZbQN6aAY9pkXi98rnxBeHmNGaBjYvL45r12XSRECHABi6iTl1SMCd7szzKM4YvTUBvxN/QGjB+igobwoI4aBjxqOkTZWkU43BrvUBc4qjUETIkahrO+QvuNjwfsxaofRNnys1/LbKDqnYX6b9LNGOQYQOick5A6fk7jUFA6erhcg+/HqIl7H0imK9cg39Yrvmkoq38IfGP0LYvS5ZHRjnrBRD9jIPYAojWqlIDRrPeJjg9hLc82IPcQAlTr5tSjbOWFONSnMdUY/S5SY8M/1bTpjur8Qd936uB/Kb9hSMNSIHrq3Jfd3nzbi79a/P4wL8mN1+k0e9ZIgzbwYAOx4aUS4HKQB+LkWZSm5EW5q+51OGuGhZGkLJBSzHFtCRkynDNBqgFYOkeH0akgQ6xNCIJi7CydodYSOA0z6HLcPZUg9XalYDLFw3ZhoEVTIEGsAiNojWFJEx5G4YfYnCt5gA0TD9boOzn3BKWxw8jT2cdDYO+DBAq+G7nWjY2o1WhS3FAnfHAP9fwoKh3Rw7yL2PuJ1DPjuaG5fApEOf1f/wItPTt/pP7A//QeU0tgOvwEAtvYztvo5Q+k5UMNO/ix5oSpzxtBqrmV18QgXTklZn9Iceyg1ZN4KANDJAbyVhJjfITomnMJ3tvueKrgOrBtRlH7cDrerx/LyDzefszp/cSd6gy86x7uUdV33c4fz/1xlV+8tl3ov4Xts9DkicRO0QXhgaXC/3/a7/pff/zQWylrMZMQo+vwSGTGNW/R5DuMriphEWaYRXOXoA1TK5KODVrroc6WaEqlan2/iA5h4lfV5RMBppLITJniNQyj6PPw7RvcJLmxx8nTdrM93FthqGm9nan3OTBVK0XIIKPrcR+DoW32OrM9fXSKPDEd8TwGbVp8DwGb4DADY2k/Y6ue8gd/ETZq5KcxdlkZVm/jES+BFCYMLJ9H2+Q4O3Ixkvo7M3XCCVkPmvgAAn0h2mccIQCqT0mAWjdwyWEVs4oaCUGlTt9XPCJbeIQ7a9Ox3DAGuO98KDxbYCfu9NSrZ7vPzzfb74BWOadd3EPb73HxTwIbeyzLfxX5v4sNF+80BOrbfHg5Bhf5mK3FKkQQKpEBfZb9bAuIYy0av+IDSfrO9OG+/L5U4zCZGqqRLbb/v2bDg2vXBGzAKdAt9Gz1aE8MbVCp5Pf8cNDQ8OmWoUWz41FwQPv0veEt6xOPMT6UREMU4Wg9Q4ZTfF680JK8NAJjoErH8WN7J6GBhaVzmhUkl76y/Qi53peDkEClwAwAhkdaf8JrHOYUXvKkBOnEJAUB0T4hxAx9Qyh898GiBjVfYpFvtrW26JpXWN4o+D8DIQZv0Wvg4TZIpKBilYHXx9wdFbchpnDI1POac3TglPfLmIu0FXMx65Ls/UcBG/YG3+Ed+Fj46aD1gk3iANvo5J22zDoHNNqO1GwBym2+g6BFpl3meQ+KzpBsi/UEBvSG/K7IhCb9TPcnk5TPval7faQ/Q41k6d34pvZKr8sc0EYq4oeYIj5dI//z1sfuV5Z8rvbo+AQ309d/HSHPtdx2nLrk7Jz9xmH+VVVZZZZVVVllllVVWWWWVVVZZ5V9X3kFEzFHG5RGx0nqTP1+yGzIbW2dpL5+7benJkfzCWG8Qud2f6kTy+V6UT/H0+eyBhO1TNN/m1npKbRHD9xzNB5Dbf3OJFADoFA3m6C4AcCcpmZ0FKFNnU3Z2i8d0nQHB1BG54/h3vB3/P8roDQlxYg4Y9QnH8AXHkVA6b97i0RhsjcYuzf5GA1vDKBuKwEshuGXMP1OEPeKQsJJHH/DmPd6Cw0ukNrbfU2vvV/d3vI0Ep98fGWXzNzwM/wYA2JrPGNQjtniEwQAbBTlYN0tHWVnH0HlRGiXJ5UIY6wh79FD6kc6sp0SGlyQmiGQ3wi7RMTEmMtOGtBrlvVkic9HjaVmRgHBfg+iZLSUK9RiKux3cHt89Fz1uydp+CanuZ2m0/Re6v0Zyhz6xTuo5nepzfkaMnCykxXz8PKLxoj6fW4vCfpwTSUZcjZPIiOkatxlS7wMh9rzewkQHF4/QSZ97jBljcS99PrqXjGpgZIDXI07qhGP4hP0V+pzXGMPqfSzQehcjISd9zEibgw/Yu4CXMGZ9/qK/4wV/x4v7z6zPGSWyHf6Gnf0tjV2jLlgnmdiHuU+RF6VUodXnPpwE8mLqukgyWkJkiFauyiSIfyqdS90fW3VK75CDD/w9K+x3KW/2sAjKVsgqCHuV7zUS2a6BxSbSnAV4eD0i2vL+Hse/Y3/6j8p+ezOd74Mf8GA1dk5jl25vY4BBA1ap1BFGZKUj3eK19pvn+9X/HfvxH+kaC8qG5/su9jv972JpzezTmqvLGh6ybS3zXUiIl5dKdXxAQRRMpKS32295fj5nHu+M/WZpfZJr7frdUWgxAKpkgs9VGfTGJ73fb/tN39FT5KREFQu0PZ3/PBkxAKikbzIZMQClLKEmw6miL/AxdR0S5VFOObI5DcqzEBKna0fAEDeEnszob4+oU/t6HieOOIYXGG2r5xN8hI8bjIlA+RQUjl5hm9Y0gISYJLSNbtY2lT6SHqfxEpouRvhQ1rxvUM18PqMVBiXGSXokVdpCizF5LDpnTKi9iGO2G2RD9s7jJdnLF/WGF/UVe3zFMbzkZ2GUhdFbDIkmgUujbNxiyOhMVa1pST5M3aI8nEr7rERA7FFQVIUiodgNJUiIq06DF0iIu+9j9Tuh9SRSb25/0RtnCcIiI/o/AEnSvT+mYGik1UfvRcJXKJ58LlF5cpXv3JaxvZ+GoZXu3ukHUiRcz2lzpVGYstOLv0GBPOz6IfBDWTKO7CAlx+GOI/SLRowRKjrEVGNfjLVHUKyQefxpByl28vkdUKnWMoggQIwWUdnEg0B1mV5ZhEAcBsxpw51HVNRwmXeH4KK9lrGAxSYib0bYOLQfPo5/Yn/4f8oGY3PEyexxNG94iwRnfvaf8OA32GmL3ZjY6Y1KcHpV1cwqpRBjzI4fQEp6DJGc/EAL5BAc9jhRKz9N8P7X8Hcc/B94O/09d4pS+gHb4Tc8DP+GrUnwavWclfUmbjI0cq4WPiDACQMrS6MynD4khy8QJwXdC5VFyVrWzBqPvtNHbcP97LEaFpm4cxDTuzg1Aks7R7H0nT/eZLatI/vjLJHe2uy1FLybnDU69+AO+Hg53+pPf8xz+yC5zdGn0iEppD2m5+49iogAxPl1cEmfcxlW26Eldx1BCcIjYpY7QgnHTafSC6nPGVLPTp8PR/ikS2R3I6U0TByyE/lefa6gcUqBmzyOPWI0bziY33GIvwEAHv3TrD4nx7zW53QPsavPT4lLZR8d3uIRb/oVL6n7yT78gb3/E2+n/8bJ/QG+4O3wG3bDl0qf8wZ+iJvM/SC5bIrz3dnEp9KoMKPPeb6v4c+4RmIM1EEqvUPSfsv55hbBMkjXlkghXamFAdLGDgC2eKTkkSlBJIDs9+H0X4XHZeMm8/3mn/AYtnhQFptUDlfbb9qIlfuJnc1W33735vvg/sToXvK9bOwzlUS9035nTjo1TubbhyN8OKZEW13WoLUobxb2e34+OZAsky6N/W78Tyyw3+fG6f99zv9t5T22O06PJ5/1Fp8dkfR5lVTlkg3Fz87X32nOU/Q3B1NDukx6xvw30rE1p43sIEX3RPxkl3hteGylNJW8au4GOOT1zcFAH13uCCjLH3U0sLDwKViFSNq87SYVUqc4LoEEgMDdaLXByPoh8XId40uxeSqVg4YHjCMFKk7e4mA0dmlNA4DVqRC5eV24LMoHCqAAgAsRY4wYQ4BLQZsx+vSGR5SgEzAoA6sVhqRHBqXS7zHrEFkqBRQ9EnisUIL9Jx9wCA5v8YRXRcHfN/Ude3zDMb5k/algUsDmERuVWqKn0qhN3JRgSpzaDPo5wKuG90yU1JYySyfmmgOwQ9IhNTfWnLR8NrXuELolv7v8vg+o29rXSQV5rCeZbwv1mqB/y7Mgnq/bdEaPimE2eHQXTi8pvQD2dbL42n8EDUM5yfvPcUGuDNpc95Ar8uHk5EvyIqo/TYXX+V4b4rEmM3uOjJg/x3W5MpKvlIzmA+xCTNooLg4WMdJmgObIbmr/HfwrQs4abeDCEVrbTMrIpMRaGXHMAdFWXAgABB+CzUSIiA/leYlHoZUlx+/4/9I5/QGn4RWn4QUH8zsA4M18xi4+4yE+4sFRYGlwFoPSGJRJNawq3SNNTUDM7/0YPcYYMMJhr+ge9/oNB/WCQ/yGfXLoD4lUc3T/wGATqmb4LTt8W0WkjBv1iE18mBAXymcga5q9cvlfABXKxqdn7gK36j3mzZY2TyJwI2pZl9ZNxp7ynEbYc224eM+vJSHuKx92HjhqWMgS63NfNkTz1xFwvg1faYF63lFekgkIaT2eU3Lva40nA1w/RH4Y0dmPEYl26Ul5D1jPIj2DfhD+lrbfc/qc+BZqgkzJawMASujzJUSZOWOfOcosoW3iMQfCdcrMMtqGvmegos7oSeCyPg/QsODg0Haiz/laRv+aN80+nDDaPY7mBUdDx17MMx7jZ2zjbpE+p/FK5tXFgBEBpzjiqOge92qPg37FPn7FwVMQ/uD+xMl9h/NvMDrxEIgNvNTnVjjfvRbfLIyykUH4kjEtaFWpz8uD3JTn9I4AjuQcyNcVx3yVbL+N3uZr1BjzdcqkC6Nt5Oao/C1mfh+oaaBOgd67k3vJ5KWvp4DR7nGyexx1IjQ1X7CLT3iID9g6Ot/GDxigYZUmZJVQQ0vs91Ef8KZoY8X2++i/4+S+I4QTdGpDP5gnbFN7bznfQ9zCJlTVYvuNwl/jcISLx2ojXdBt7P9ts/3OAYALNm6Oz6a13xUXBa633z2pNludpAtP0lIuinPNAm4VCoTL8yddCxEcT/NZ/HCg5x/EGCaJztlxUfsthUOnCcJDkhHTfmEJrw1/tgRumANpg6hGAL4QEacgfFBbuLQeDAZoaDhlBUKSeKraYKTOSQFgwIYfZtHn6VJDHFPCL2DEW3qWmrY/CHCMuPMDdsHi4DWG9HwGrbIeZ5+cn1YO2qTvn4LHMXocMeKY7mdUJ/KR4XMagXh4Nti6LbYgf3irDDbaYFC6CdqUcTOfTEwB/xgwpmD/ITocMeKg9tin9t4HvGCMb4gxZGSqTsG0jXrAkHiAtvERAyjoa0TbdimSy6a1Gx6kRxhdw3NL81yS+lptkg4R6y6nFObRejUPlq/1SC/wK5E2C+1TQKsvyl9Yir/DmZgUYBZ+GN/Te4IQMf3XVp1cs19acqwndwme3BGN9HEcObfJz5/SXmWVVVZZZZVVVllllVVWWWWVVVb5F5TbukfhDm2/s2hUdXqKzx+qczJM8pqsmqxJjpEg9Tw+QaDtFJIpIPWB6zpFOU3I2Uq6Nh1FJF9bxLhFVKUsJ6gtvLJwYYBOkW8VNYyy8DDwYgpyuVXT/puzsybVixPkVaBtAGijM4qEM2Oj+4q3w3eC2Q/fAaDKlG00Rbk38YGgzdHChH6ZEMNEPRxO+oST2uMUKWNwjC84+Rcc3Xccx68AAOf+AJTFdvO/sR2+0NiGOosM6hEbVca2sBe6TcQ8P7nFd87MjnDxkDtGAahKo0p0f5uh1Vq8F/TvfGlUycpN24My1JYydQkJo8xV0fV8n02UXUItJ50n6I4m57i0/vplUJeiyHq2tOQ2acaTaeE7jhPzO1Ojebgd+1UdvW6NtN96Px8Z2W/g9EXH8ntHf7kp25HLlsQ46jxysnsaZZoMcDou123khsbTUsWqNABsT6aoLanPVbJpRlnEpOtIn1v4OOYyjRBO8MrmEimAOMpkySufO+N7OvrcilJbqIRMEPZNaw1l6XpOnrKWzh9wOP0do37FaOnYYJ6wZ53a0ec6quqagI4+Vyc4dcQxZYBH7HH0hPjgsUf3lsZ7xmAJaTOnz7lMpuWxkWVR/HsPOUmoSSf4IFzR53qb34H3IGx6IrOT0n4HvaGMfBrbJPvTImV1pBIpmvmCKJLZeHpGecDyGWG/R0fP3IcTDqc/4MMRY0JWHcy39MwfsE3P3GI7a79DQrjx9fTs9xjf0ny/4ui+p7EPADSsecwdXgbzhK1+xia1c6d7Kfbbwly034yycarwFXFZQ50hP6U1xxnyUhrFXTiX8Nn0uOFaTpsKKZvKDXrvFpdRX5JZpGx7/Eb70JZiVHwUyXe+Nh/b981ZmrFUQRcwiuocDyR3kKLP6YzwmfrnjW8VHLQaaoTzAl4bvh6NAUYFBOGfhzgQfUHqKhrCBl4njrK0lh0OudxVM0Ij1uWP5d6I7y+i9c+R9Dldp1NHsiOiVbTDEQekNZI7V20xxgGDtxjSPRqvYJWukJI0KxE+hoycA4CjOmGv9zioVxwjreVT3GMMb9W+jUuTtvoTdpHW90N8wNZvMMBmlI9ROiNt5NguBnhEQu6lsUdF6J4DXrMtcTgiJLSrTYgeowZYbGHVFttIOmzAJu8Byn6r7hjV2g0Pl/WIiwdC7cVj4bRJ3WNjDNluSB3Ce4Nr+Wwyai+htQpFQll3LScWvRa1HT4nvc5RZc2f9w+v991kxUnhlbqnzJaNIorn83FI9R4v533KvT7CVz9/zhuCNh7AMkLJnlTwS0iDyV56eimFw83fmz2ncPLZAZbwVkQimqJADS+0QSxAcmCD0hWk/tJ9EIFVMSBa2VwiFT0pLR/2BOsN5OjT5wY4HKFgMOb6YRDUOgKAzS1iJZGlLYXFOXAjAxDKGFKIKWhzNDuM7gXO/QHnv6ZjnzDYZ2zME2wiAbN6C6t2VJ6khorAEQBC9AgZhugoSOKPcIHqVk8Jwu/89+yYWPsFg33OQSKADMWAB2xBEHq608sOH9etMhxyTAYQQFbSXAdPz/wEH/ZA9FDmMT2fAq2Whv2S4185ERzIaZ2+6LLTR8/OTOCXrMQXOX0zjiZDFumcANeF39wqNEpFXf1hokDnatavH6sv71PY59oISrl0vbeVY723Nvf+0t7nxwWBpvq8BICA9O6qfhB+cRlqR59zgIjLH6Oa6nMa26fyKj8Jwrf3MavP1ZCDNj6coJSFE9w3THpJJS7pu9EU5/0Gfa61gVYDjBpgksN50q9wfg8fDng7HdLnvmKvdxjMQ1+fY4DWU31eWqWOqTRlxJj0uQ9HjGGfiH/pc0ZvYM0DNuYpk0fO6nNR5tpKGzDiTXzmKMORfg/C+ebSqOhRlWg2zna7cQzpPSAS4qmOUKjLbMr5TA4+hnhEiLsqiOSNhcMRWiRdaGPq8pz33rHyTFKp84z9HtPzPXmab+cPuTzv5F9x0t8qEk+tBli1hcGQykGus9+j38OFA0IaAwCM3k3me6OfSznUzfabSF+5tNDFY7LhR7jKfp/Sc+GN1XX2u+Wjk3w2lf1GQCG3BiSfTWu/l8hc0qWfrHyf/V5yHddz2ZTNZilDFRs55ZPuvm5sSW/AvxfuHAPiQ+vQF7QcZQ2vDTC31nQukeJyeB1dKpEq8+HDKfvmTpWggmwWksfI+nwauAmNPg8qYBsf81osiVrxroHejVEd8/4lqJDSkgZDCiIZGOgo2o3n4HekIk1VSqGO2OOk9jiErziEb3TMfcdx/APOv8KmAOx2+B1b+wlOH+E16YYRR2zVA7ZxW8aOBpKjqze2S3M2qhNO2GNUx+p9N2oAMAi+qwGD2tXtvYUOaW0HB2yk3cjJ2yj12nGyD6B3dYBO5bQcGJdBlfPtvdmX4BI9oUfyG1j2scWPrXUIS289XvKNKz89BoqcZR0/T3i8RM4FamvezGQXIe/h0nidoDL/LPRjLffWhXM0DDzOeykYzsiVyeGl8o7uUSwBSzpIzUXyazJioJ7o6518Hot5EMrYhdeGxiWHP8LmWmrFjjbq7KzkQ8jZSlVnZwEyKhltozk4dESIW/hQjIJWRzidnM5cM2ugo4FOgaOSYZp2ILGKIv/ZkADpOgYYXSLIRm0x6geczCNcCiI5/4px/DsO5hEmOWNG72D0BloPMMpOnnOMQUSvx+RUHSgwAiD4Nyi9gzWfYFOQZGOeMJinLtmYwZDr+9nBn3P46s4iLhOOORSnzwdC2bCjR9H1I5TeQKtphF3WkM+hbPgdaJ9DiIVEkZw9X0WLZT38klr1VqZZwHJVrEiB+SDHkrHirMIU5GDq/DhLpI7ey+OxpGxuPXeczg3A2Y57yNJAEMn7swTN/TSBoLOBoXdmDJZ06et3kALa62YyYhlc5OwsjyXPhzNkxPmcWZ+X30m3l+w1jVHzlAWEi0H4ZfrcIuT3geyGDye4kDaUMPDGQmPEGA/8IGjzfqU+58wuB6qMpg05ABi9hTNvGP0BznOA5YCDf8Nx1BlhqZXN+lx39JDULQFBdNorek9Bw+hNDhhZvYFNupyv55I+bxEfAOCVyDSnTbwMwjPKJghCyRDo2kifp0BZdV/T90e+0yE73B3/QyR8+D3TyiKmZ8kZVe4gBSTy0hRo4qQLB+kYMSWXa5rZ3LFLK+o4M2e/2/l2sttNcDiEr9X9Z4Qtps675HKh74+5KxMHaSJCemcoUAMAg9nl+WbeCau2GOIWA7a5S9S19ntUR4zxUHFRtPab7WrFR3KF/a6uo026VFnlls+GZqtdL5cRrL56t5Z0fpwjIW7n72JSqRqL+Ubu00GqIBo748ZQBT+i4A1pzyFtNXVtYx0o/HNlAUH4npHwKO+uTvd7ideGTpqCegLtx2itGIvPT92kHLwmQmKAUBtGWYzqmN9rl5IHxG3DV1MCsXJ9E4pyQ7qc1zw0XGpG0tNDvEbGeExoIougCumx1KfZP01rbFQnjEgocyZyF/rPKIvBPsPoXU40GEUcVAGhBD7UgDGeAFWCM5fGJrRLQtrgmO+DxYBtpE7BG8DGASYOGV0DQARsWl+cZpx5bGguSvI2iDnLtiOUuZXznn/OCRrJ0Xiez0bOWdYjbEOjK4FfgQLkAGjPTp1H9kxJiFvJ+4A7rPNJUIUDQz+RXHefF/YAd0HY1CIDQx/NoXn/q19llVVWWWWVVVZZZZVVVllllVVWWeXdchunzZWoF/4OQ+clKqHqIAWASqOIV0aJSGOO2Iss1tkuUqizFZQ1MAVOHx2iGhCCg9IFutlC6s+NIyH1AHInqag3IpI/IoQ9girlUZ7Zy0VHFA2G2HOmjqdm2jZWdpTi+nindELqUC0vAFizhdVbDOZpAoX2/gCX+Qr+QSUxygIV0sYACQ4I8dygFJTaZqTOsP0C24HoD+oRFttc/85wSBtt1Rq0zdIBEhLpSjvYlN2kbhOU0ZaQSM4chnSvSm2r7HOBRXL7yfPRbgACHlmgujmSz9Dq6OnZoWRrL51fjtNG1Bk1UiFVMiyysMZPIZG3I3uqYxM44e2x3XPQz16d6eQz74mKxxo19P5zd+7lQzMSnYyHuvzMrpPL5a6XkDgTfV6VovSRk7dJU64Q5bz2OadanjIAs11OzunzGBipwJ2kNHQopTFOWShdkJrn9PkcZxlgC0JDIbWdHWA0Zyi3OKktrD7CmYScDCdRQkM6cQxH0tcTxF/Jeuax02dkK2WrH2CUrUpwrNqm/3c5e7pEn7eZ2Yq/RqBsWuSFzJiW92bIelbrkjF9r/A5dHoOKlDXMKQrAkLOxgOADseMrOJ75RIHyq5b8R5QZl6+b5fst0320sYtnHqA08eqdI1LtXJ3LX8AIFEP0paMNbIyBkBZaL3NJQODIYQNo6kAmm9CVVEZAwCYOFyc79Ip6pL9Lp0eff6/cNIxD8Ut9lvy0dX2e6ofGFEpM9dtJ5ZbpI+UFXJFScPlNuK+OtYirdhnPlviHHkcUR6VrhOpdIkOlnLX3vXM6VY+5pMtqcrPotDnDdKYeW0AJF/dUImKQKkFzI8ZlUXUqUwSATo6KnkVaGpZIgUkVIgeCEHJ6PiEgkckJE2IcpSCtgHob5mzTCDpVCReF+ZhmRPujJTtFaj7XPseSJ6XjKqJBalnTUJE6sdc1iNLC7mkMiP7oi3oxDwW6SouRpO8ZDFdZ2iuS0Hnc7LYOGQ9YTBUZZUALqJsHHxlNzLi/oweYYQtl1YCyaY33JZzc9ArqWTUJ/8LFHSKbL8t33Gpp86iebq+ctulKu0BJmi8zn63I+wT5esWxyci/OaWl6c9vkx6JcrCn+2UU16SOVTjdKD7o19uo0V4v79ydctvJgFbwjXTkxouaQA4kLPPDlqkBdA848sbB5O/DtUaLwrYQMAVaSGOgLLlJQaVAamYoPtZ4c6TWBLx4JDOSTDjqAJMhldvEcI+GQQJ603QOS3a2zXklHQCcgBb56hy9PPvZBjYoRoT4ZczR7jkjA1GKDdusZkcQFJQpeaWniG3Vi1BCZ0cei4jMHoLo7fZsQeIHNGogRz7VB9bCIfnW4NKo8AOH5dCjeooSIcLaeEYeNOSyrXCEVo/UImAqmGRWg0VXPEcgaF0vHwqi5Kt/cghZgLiEuiaQJx5rm/gs6FxCp9N/S4ua316aax+nWmrSM2s4m6v9fyg5/7+vjaFP1buVYa1XD4KdlnryoBryIj7Za8UnKeTq24Q/hJvWKvPZYC71uf8DruK14aO+cU8ZVKf51r3RDIfVUBMepA2paVECqD1oLWtoPgOh3l9filwg6LPDUrbWaMGaAwIaoRLJadOH+FMR58HV8O2xZ1Oy06GHKQBkHU78+IAyMEaE20O2lzS5+xw088EpQ8qFCg/t/ZG7XyHOCKEuoxAp5bPbFelU9wrb+3NtCQBLU9DI8hyG+g8BlAg9hFURgYAQVm4cITSJpezeQmvV0BpY0x8RqGNvZ6x38yTY9QAq3Zw8YAh2W8i3Gw43LicLM95Kf8pcH1hB/XUfpegXConTrwTJloM4GP6LvY7iM0Wc9lQoIbfVQ/moWjtd7XZX1AaJcsAc1JO6KBS1jC135JI9BoS4tmkC0qZpJTFG5Qq2DTdeNXS2PEFMtXlBlOespADQdUGUE3J3nvJXRqj8Nrkf5M+z3+r6AvG/DmdAjbnSqT47knnU4kUQCVBgXUIB+GTjvThJOgLBrh4hKQvgAzCcFAGqEql5DVUgRtwYD9dd/KHQ2cTq0UA+ZIkbVWoEkC6aYjb3OIbQEV0nL8bmfLX5BIlDQ2d9g9znGTTa9BZp2pQqalptpU68TbxNdoUHJI8WHUprQgMiYAN2w0usZTB3xBdLrGUNi+XCrOuU7YqjQKwqDSKg78BASGVuEl9RRQJxGcJAO0egI+10k+a9oLLNHpZj0VfnTv/ZWnHFxQJ0LcFUnr3VN1DCnjMJjyXJNV7ASfJYTY99115M2f17u36fancyGlD2VmgVsznsrVSSiSfI/sBxatNBi/WG2Q2KNfy2tB1kZMa4HNnEB6Da2f5+nN0NaFt6Lg/m53NWTVtofMiTzX+CaVC6I+kkIPFyA5IrJW0EoGlNEDl6APFUaIATRpbqay8mS3fxIEcY7WDlyzr2uUuHQASq32o7n/6LGX9J9WnakHcZmCrLKyJFiZSRF3nCHu//h2oM7EAKodPMsRL4kKAkEPMscMIG60GGP0ArTelljVF2NvIt5ScFW5Ix/hYzv5k1FF6P5WpnOJebfolaZVQnalLKAW0xGDLg6Z9DhjgVhLi66XOOk7QPNUY9yAH+6CgSgxdgzAvHxeEen8QpwThbxqfdXLW5+Tkq+x2pVE6QXg+LgMbZ5GTjT6nd9Iipi4g1HlkJIde6EcVTY22oQs9q89Zr0FD6HN+nzaZE0QxMgAaozdQMDhpeS7zbn0eEHJgwEUHAwuvXEZjMEol6LIRZscyZJRF71kWsmXW5cw5wATGRg2wmZBySMd17eSf0ecAMkklZ2V9IpAE6iB85q+JLgfIi+isu6U+7zvBhVsjdjZF8nO956L1UM13jGUjm8mbo6OMfRzhUE14nmsOiCBSptxKVXdmvml+bXoWIT2vbbaBHg8Iasw2nD43Jnvuuvab743GobnWKNlwrQYKyKV/gdp+L53vS/abM+OnuM8BpzGRLIe0ptLTS5xMdmK/tRoW2W/eaFWcNrEOZMY4ZudbJqWusd89pOz0M+VvLbHnFPV2vdRjc4D8tnPx/dO1Eo+YgkJskfDZ95HXcQuvDRISgrhVMgKmG4Qv+4KMtknnk7yTclwdQXw5IH3A6ztEDpYWBIVPZL7LkPA0BqNuurZEkBMHpICsQKYYWBHwKN/n4Ikkyu3xhLEYAENatyHWgXKW0LyfmedHTODc+fM5ELLNIssI6AhY1lcI1T3V4yyzG3weAFXAxgm7IdH2Ofib0fYlYEOB1tR1TjOhua4CwHNjA/y++f47WCFWXEaMaBEkL4mF2q+ZR8E03I95XNGRM0aoBgFz7V5jMi7EGAD+ioQky92TtguR8Mt0fR14uub856WgQZfIr5LWXmWVVVZZZZVVVllllVVWWWWVVVb5l5IbkDY9iOc1HaT4HCWqn3ltgBS5ChWkng6HErEXrfV62dnc6USiV0AQTP58CA4KDtT6mxnrKWIpu46kE0JhGs1nSH3OFMPAZDh9inYrC6UfEMMbItele4rCjl5cuy7nqGD1aXzOzgKYQOuBArfWGOC41WlC3bjoEBPEmbN2URXWeIaNc4vFnmSm9RwnNzkzq6AzIzw/c0bYMAxSXmcrPb4DmaWT7UFPcQ8XqIMKkNqD+kN6tmm+9QO4jrWggRIsEiXyXUMyRYRdwBNlJynO0pVyIvqZovg1LLLlVOrJZT6bOsIOUctaR9flez4v3Uix+F12jrqE4ngvbw6P8z6ZvqsSBdOieRTqWuAlsjT6DcE189Hs8e+VHlLoUrlrW7ZXsqcFOp/1uYCM0xxMkZMEp1+ImuzocyphNWU+Oful2qxYXSJVrnMqS/R5VCGVu7iCDAgnKKVzJyEAcLqPwCi/L9XnpkIqemUzAgOgrGNQAV6NuUtSwHiVPjcYMnqSnoPJSIsW0i5LY/g6W+npc2rtnThsMEVOFpj7mHVvzjRrm0vQevp8Mn6lzad/mzyLvG7LfPNpQ3D5Xa1RGyNcL1Oski2R3EQgtJW+cr4DAiyovTy32CbkLJU+8HOMitqmX2O/NYbcjthgIJRPlG15p6VQfJ2TZ7rQfo/xLXPQVRw9FcoGqbX3dfZ7ck2t/RYZ80lZsCLUCz+fpfa7O67wHaS9JZ1bo2pa+83H2/OdG6s9MvnMFej0nmSfPdlqKmtgXhtUz5JtQsh8TtNxqcCp8NoA4pmrodwTIycjdXuiMQoKHgLRoeDRlmbphARh352ODTBJlxstbYQDUBDULhxLSdxF+gJAq9h79PSxWNY87UGKNzw3t62eZQRMuqLJ+9iWMoUbs//yPKG5IVrdqqBYEaiTFnRGK+kz90N/L+ieVo9Ijc2tvdsSy1HxPqBQJDBiz2WOL4no4tKoISMfiR7B1GjTrg0ppbR9xL0jpB5A/nl6f1Xjn9/CZ1PpKPG3zGeD+yBSur7tBBXI40gqhiVjTznWJmh/xPSM6uqBd0tbKVLdx5WnWur/A3fYzyyTm1t+Ly2FYpEQybacioSdfAfgNl4bOreZwDS5/TddQ4FkRnggjgJOb8nohBFa61JKFWnhzhISZ4eotIzl71J9PG3AQ2q77cNr9Vzou2bq6Kex+fe2Tr7n+AGoIJkmsrNPBomIBLfsYqUhqOY1wNdw187zZqdSQVObU0gjU0Mg6d95GCRQHD7mO2DSQunwjTGRbor23tzy1vk3+PCKGB10ajdOrWo3uUUoP+ceVLG6llhgaqyomcdAlkZFEexSohyKn1APsnipBGWOy4b+1uOz4fNOIcFLpV9P+34S4lpJn2/3fdcAx+I609493aMkS8gtRvUaA3E34TkqOnnuHcptutvjrT5XGphsHqdB+DaIQnq7hRIXfS7th8pkkgx9J4eNgvp1oFWWSNFx2kTPlUjJ+2r1OXR6RsIpCTjBhw6/ik7rXhBS3qLPGZLOupc38wAQ1CYH5ef0+STgRpq6XGZMgRvBL3AOon9O5vQ5BxvGeEDIQZsSsJHttFv7rRUHbUoQqafPY6LL1PJ5t9cXy4aAy6d69ltuKNlxlu8pc9+1jEF07mJHQ/RUcnTFfMuSKS6ryG3sU9BOtqHlwB393XfnOz/LGfstkyz0uT5vzeR5LrDfzGnjIgVrKj6ecEKIp+r5ls3W1H7PCXPWAKhKo/IazSV3Tdkx6xIxdsW1ws+w11Ze+gtR2rwm6SJlob2uKQSmUpc3zyV9hN9dlaFOx+QyTqYs4GvIgXFZHiX0rNyYXcNrQ+dP15jaf0v/PFMkxBJMUVHDR+JBCXAwaU74/ujK+4EiukadNvCh8s99oPG4tCYo4kdhbhs+B5e7VuuBA/AKZ9eLDMqWgIjkg5FrtC6FksEa/rk8y/r3+r4vy5zHwdfIZXFUnB9zYIYDOBy8oWMl2FyuodxDvuYZfTJXYukxwqkxJ5mLzaB5Amh98/xxqaPUIVokmM/z19SlKswR5nNiv/CGtfvXtrSQ7dM1XDb8t7yOuQwxXSE5FXWQuaVKmC+/CpBBIDlWdT2y4YmQ95EQ87nnEsf3lrJ3mu4xeK7e6/N/xD1cPuf1QZs08WzEehv7pdH9bBQg2egVprw2oM+oKa9Nz9HvjVNqVBNfQXQIMYDRNnQul9E27JQBaeOAkB19oK7VlAzuWg2ZCyFfYxNpDAkVopSG8s1z0vwdJhHbZWPa1slrFbuGQjp/sZO942vKjh7f24IXRt43n7Pn6LXXJKUlLLzEd5AzdWGfSIf3uVOKD3tBPEzknJqDNqkOHkBVC98qbdltIl9jUtTZWZYoG8Fpo5WhCLvcTCwwlzIjOq9ExbsPRr+UyPetfDZA805OFCkbBhaz+L7mL+L66Pc54zP9PbQfuvYKk8zzYHSvpWsU/ko580zPBIXqgHqoHl/hCDmvH3r6PGdmMR+EX0pqL4NDFdoGQLEZJQiPoKE0kVsy2ibfh0BPAo0+r7KojT4PKRAfKFjD1xPCabKBV0oDAYlP5/36HCCdzpt5ADkof06fy3mbBuF1pcv5M3NBmh46cYk+Z6e7Jo8cc8Amd+SL5V0om2fSPzKYconbRM8s/3M2TtpvflegSxBfCs25y8ut9LkKsCrkDXJgXo6F810930jzbWAKcjfGKmBDY2xyIKe6xs66mrPf7eZqSaCG73ep/ZYoG5eQsiGUgA13s+LNVs9+98iH2/dcomxkYKUQNcvuPeS8txuepRuS2Flj+W/8DuV3ern97nVFaZGy/Sxwe6wEYZbIJDiOlPDM9wm6H8lrA+Qg5Tlem/aaK58p++clwMLol4pzUqBtONALNXRJiWmM0tGPkFohc0/SOClMILhQQvL9ObAIEHJSBuCrZ58CsqyTe+ua1y9QBzCmvWFRIWv48zJgw5wm7JFJ/0Mree7LfkmLqGGUTg6dKWKoY32a71H4ikyyLpML5ySmgLV8JhyskXasRevJ4G/msBFcaHw9hQfLVlyWQLEll7oOFsLh0kEKELpFonoEqqZC2nTeyZv4bDrol1ZP3Ya8CZOfWxLi951fypnOURcC2deNfcZHvQM6afbUcq11EJRXyYXk7cfdxSqrrLLKKqusssoqq6yyyiqrrLLKKjfL1Ugb5igokTNGv5Tk9rnIWOG1ARg9AzCvDZDC1iDoqmCIR4EoFxh+PzvbQtJzZjZD6oGoLBQiuEQKIE4bBK5l1RkSR3fZ71ZBf0solgRB5dr49EeYNKYRmZIYDvAz5wu6ibQpjvwmaLdK8PiGFwGYZsh6kGu6Aiqdop+nqKBWehna8vPl7BxQsg1zEEivRGY2ZemqThMJZUMlUVQeFcMBWm9ztygAGWXDdfB8/UtahAJI3TgIpp8hsyJLV2D1FuBOA1X3iTrSPocEq+pV5buBJsIu+Gymke9lzPEyK9ZCq3N0/Z2do+brP+uI/sdCFhuZqTN9d/T+Lqzx/fO3vDxn5ex9LIBvNsjJa6RkT8t4E30eUztMFHiu/OwSVGarz1XUpPurbJaeriUVJiVSAHJnwDmU5iV9nu8h/3NK2drTRKdHHaapkYX6fA7lwgiMfFwpAKbiMuihbOpL6KEvpijJnr6s7MUZSLvU54yy4Q5CdB8jfDhW8HOg6MuMqknZ09yNC/P6nHWz7/BczHWTaudbC24NpTTpful3JPHR5XeAeXByBl+Vd5Ge0bL5lrx5LeoGKEgriDILM4OqkrJ0vifPpNVNC+dbomwkfw2VR1G3KL5eRtlwq3XOkF9jvyvkKjqdHsFIvAbx2ZQyy4z5Jftdxp5DyvL1sGN83n7fks2ukbIs0m++ruuqvA6JuGn1ueS1AYovI/1zLj9tx2c0o5yziX/OiGZFrb8B8s9liVRBOaX7VRIrTP+1pTqEgSn6PPOVaVRovxAI5cHX7dLY4DIzgcZkFJ2N3EWJRgOKX37xmcfp+pQiUTYFgUMZft2USLHLswRpIz8RI6M4Y0HPpJsNChV6UWpSaZeAGlU0JxKtB0wRezTGWKFsXCR0HqMznegWxe8c8Z4VdF7LfVbvW3Qzfr9brBf8daX7nPDPlSW0vUCCskxKplHrC8lnI0sN+V/ymSTseervX6s3at0k9/J0RUVu1Eezx+q9Rl/Ot/ueXvv0bxOf+QO4ZngM/pf3Mz8CdX9l0OZ9RGeqcXzK7wSpJ9GQvDaAfJHZULSL4HyJFNfrynpUKpMKmZCYzqMBZStHn8fOLWMz7LmvXLmdoU4t+IBiGGJyStjlYY6bViJ8Xi/J3YPFFiGXdvE1BGEokpkSCnOuthboOf0syzZvlwI0+V5mIJCuIqgciaAyOfaA4DsIb7luVQZs+NkpvYHm9t6NstYVMVj/vmRplKxnZYdPbjKpRagTBmLIpVH1ZuJcYKhHnlsr7vy/UAzkvNZBjQ/hs1FMDHY+8PqecdJJ0r/3Bvstc5Jukh9Wj5vGaLl/1Pl5eZ8Uvpf3tIst8y2C7UhBeFwOwmOGXL43jlJWlDyxDSlOSIgul0iFOJY1ysEjwfNwjt+GHK+iz/P+RQRvQiyBGym8aeBAfE+fczBros8TzJ51bY//gO6T/s0El6kktj46L+dKoFoJyQbTz1N97hsOAtbnXArl4wjPQZvgKqc1X09ydKtSqAZu3ucYaYOf169TDhDKMg2lDVQc8/nkNXOwSUEj+gCtRyrd4LlVHh7DVfNdNkwzG7kU3Onb8Nvs91zJEd3D9fPN9rtLOhxO1dxoVbf3Nno7sd9zUtlvYUNzeUMuSeeNl+SAIXvKrYHzs1mUBJmOyVdUNkLTsgYp7yk5mOXMyYHx4je3wfE5n73mtQE4VEC6tZSfkDT8YWncHq/NnFRcUrGUSPG1RGjE6PKbzpyTNSExrVFaD/UmPPNf8fUo5Jb2LIZJx0O5tbw+BWcKfV1zpCTbjViVQtKzsLCppEwWEU2TnFJ4jS31q+ekF7CZ27PGSJ/j4IlMvN8qcwGbSRlWta9D5sOKaT8AoNoTuHiAC6W9t0vk5ZUeSQEbo4m0nXUI8dqUlt/t+yl1nbwuWRpV6RYO3JwN9OqLfkz13Ca6pKVIAPqllUv3Ha2eagLMVbmfbETS7jeWvJ/TBEJ3H9A0PLk5aN3Vg/X7NhdMWTZmc/7Z5PSMTgVwz2T0R+0AVllllVVWWWWVVVZZZZVVVllllVVWeYfc1vI7KgEfJtj5+8iI24xEISOuM8AtOTF99GyJVPqMLJGiQ4Gi4cpm+CWinmRn6Vy6zs7SBU2yswzHVAmqyfdnlO2Gx3pomxgDopFZLo+ofd3KVgUYOJhoJ9F9RtwA8yVTk2f1zuh+T3qlUJxddIKwkCHVMqIOUAs/H48Y/SF3ivLhkFE2KkOpH2D0LnWMKhH2DHuey1ZimqXLWTmRpcvlUZmI2ImsnM7vlHzXS+T9TKcqMWZVulRl6dL8YdqC+74kxOchkdeQENfs9BKyPoVFvg9KuLzddx7nDqie+XIl3bmfnz8mXspdy7W25a7A8iyIJCOuB5pmgOeQk93zNvq8lEgVfU4lUnXWG4pRkzp3guPhdOrqQ983VXaW/i5agEt9jrotNA8VBYw6+rZEgomI+/qcy2e6+lwxOaTKJTRS2lKWW/T5uY4a+R6ETgdQdQy6pM99dJk4ktEpkuBRlkRl/S3ajC4pb62u9ULr695955+VeMZp7jWGnNlXkdqX1wSVHlEZhJDKoRhJqgMMxsXzzZ2l6PmG2TK1Ftr/3jnvETS3pVC32G8XTqUtrz9klE3JSBPChlvzAn37fYmAmDLgpQNZCGPOivOni62V2fDafsuM+dJM+RxStp+RPQ//756/9RGq84aO3Wsl6cbsT1zwBxtEDpMR03cTIjkqFDLidB2K/fOy9mSJFJ87RtKzXlxPeebSP2/2ANwoRJRI0T0nVETldxd9nvUi0l4loeEBQmfQlkZcM0SZVH6nNFQ8FkSOIF5GKnflzqlcLiXJvr1458+hb6IKCLHnqyYbIJqh5N2TsE86KihFn8/nPIOekQiYGJO/HmN+p5KVRoxM2Tw9mSSkb88p/57HEeiaXGYJhwA/KbH0cBllwwhNKlcaq3VAJZa26jjHBMRyHcs23zUtRJ9wmEujsl3PaD06C41dSqOkHuFx5DXKPUYZx1f72rLeuQSrvL9lz1Gfd4nIqoHp34R/3lAxyPtZOl4XWVPtcyRFwh395Ba1e6FqYPFpJ/skvB+WJvdHs+idqVwZtEmefGUVqF0sO/p0AecnVnIhqBx0KXBkwNDmGDUHQlaUC43PZExxXZodbzSOVxwJbsk1rEDdAvwCb0/l6AO5G0WzL8qS786/VYEDvqbBFNhpgYNSe1fuTMHPRCktnL9SMgXlJ5DMewZq2hKo8nOBgQOo4I9OFa6DgLFq/wqk+ndP9e8ut0rfI4ZDLokCUAVspLKW3SaA85B/djQKlLo4fDEr67GzwSDoZQuLvOrZtQZNOHzF0bFZidb179fx2dSKwcsP0DlFcONaWN9ZpXOlIl0C86x/nnOQ0Rmnd+4ZzqGlivQDambPDveuYFdf5LO8hf+AziG/L8pLzpSV9YLw15VIFX1OZ5HOnEeIjnRydNVmhEtes68CKrE9G7gB6fOAsXDcIN8qQgByZzmE3FGq0ut6qs9l+cxFfS46kwDoBnFukblNe/l76Rbkq9JWN9HnDsdcDiX1ed5MC+dUQssBet7kgMuOfGXDXr9vtQNMx3x1finSaWbb0M53vo4cINTIfAd50zVS63XBy8EdaJTS9HfNwf4RQW8XzbdRttr8SdudN7h3tNs9vpryt343l579nptvDth4bssrAjZK2GoO2Mj23ufs92S+G/sty1vyOyI2W8WGFvvNckn3VW3Fq6TL9Onmc0JN7DfSXU2PLZP5cXnsutx1aRJVStaxYn0SRUDa1MdSKikTquXYZR2ef0YpkQKQO71GsTnPQaG00c2liamUKkB0jWu6A8oxdQSg6nJXC8CJj7blJCGMFMppfXm1A+Ih++MAYOOAAA8tOLiYYwdAN5Aj/RKtAjxC7oJI3+T0ioZle6DoRnPgBiVYQzqjlD31JIrvAMicaLHadVHAxgmNwMdlqWx1nioYUgI05XOh6BaU9cQlloEDwk3AJrf3DmOlx+keKWhj9bbqOKfVkG2KlF7Ahq+JjzGvZWW/sx9N7ydfQ2vH5lp996RNGvPTpfUUkd+NTiL6Pnw2rR65/fx9ua1z1PVjz/uZJMv3aNcEUdJJr/v8O+QmImLk7CyAKw1Cy2sDyOwsAHC7WEWOdH6BmhaDEBte4VRXUVX+ucmUAkCMtMgDfAmGRIcYDQIois9KUymdSQe15lNSEKjHhTDXNlY8sokEILUCL8qB/x1iQNQh8yJ4jLBqR1lLcHZqgI1Ddvb5OjjaH8Sgc4Gca6UN0Mjr5ii6VISy9j1nMJJi5kysJB324QTvD/Dhlc4ZjtB6m9E1AKqAzZL2oNW1Ci6bEFzJAGeHr46wM8omO5yKiCTbYMpclq7dULT/Iz0RpGuqkSIUzLymjeCc1MahZFUu8dncpsBrRVpF2MXmns59h7rPGh5y5ZeXt/tuCcgqueU5XWskbpQuUiiG6prfhZxUkqcMkIgxkho5eU0GOI8ByqhmYkiQPm9RPjlYCYcYdUbNKa1LC/CcCOCgfp+Y+Kw+pw9BQcPzsVRvzy2NZTA+NvqckRhL9LmNFl48K4nCuZfM6XXW6UwUKTOjPulzRlu0+tyFY5WxBISzK/S0DLhLHgL6fJkbCrLVvkSFmoTv+hmS36KdbzkOH4/wMKBNId9jmX+HyJ+LjPag+9NMXKns7HxHsell5I2GyRscabsLCsinv91/vqWtBgCn3M3226VgjQ+nkvgQAZuKdJg56BbabxZpv3nTxcdDYCSURHXxvUm0S4eLYqEe4nvip1h+79mR2r4t3tB17EIV5J78PYBQMPU5qoClmvfZOblJvyAFjFt97vPPdZC5vXYm3i4+8txmaMoJYot9yLqzTqgy52QIDkob8uPSNdCanZKRcwtwnYP1Oq33AK0H8QhbpGRACCP50Y0vHzFAT5DwQw540fcNSkvwxhcHP2cevtbtMQVwSvCmBHAlQTGdTyHGmGxENm6zEitdX6NqwL9nLSBQdw0Kj68TmAZo5L/5fuCrgDDbEA+pW8YcsAnBZaRsqfKokS3EMSkQmijcaL0AYoUIQ0G8AMj6g22WTN5Oxp5B9k/GE0mGNjnffq6L7Kh0SLvf6I/bS3JO1qAcK/PMXOePd/VUdSwFoM6iU5ajEC/x5cg9Df3QnvO9e42P8NeXnfN+aZtVVllllVVWWWWVVVZZZZVVVllllVXuJjdw2gA5mg+OsN/Ga0MRfzpf+Ry3F2RSBQFLUwGSf6E35iWpy1g0EE2GuVHmYARSNB+hRHGhU1RTZBY4W8fR/V59vGwjmv8s4ZXVdWlqBS4ydkHvEE2AiQ6WW5MnuLVXA4wqMGyPIWdo+ZwM0ZRtRCXcXsq5rBZLL7JO91mQNfw3jqZXpVBxJEh9brM+5i4Tbf27DwfEsM9RbkLYUKcok9t7F5SNruCK8yibHsSZeWwApKh+afENUISdoukDckR4QXT9nNQgVBEFj4HefdFhaQ5aPXvuCxm6PE4LF2jkmvsr5y91wXR82oLvY1rjLYtUX4cY6pzzA9t93y4X7ukslF5y0Fxf7soi4fRlepM+55K/yTt/PXKylClq8bmUNUdBb3FdOHchiekeArdq1oBB4SG4VZ8Tx0L9fHxARtvEeEq1U8iZu1afe+Vg1faiPg8q9wmkcYAJkrK95p6cK6nqcQ5IOLvPnYOm2VHZNUjqc4m4UKIMhv/NaCKBsukhbFiIn6KUNfN1M9eBRF7k5xE1VC7doBIcQuHq6rztOOmH3HnGx5Hagks+pkwJQOiOgFO+1958c7lURlaluTYYcmtwabvb0orefNN3zq/TbhmcyHjL+fYYL9pvbr87N99TZFUqh2o6RXFJVPncdfabS+8A5K4yseouU3RG+971MtW3ImVleXM5mUbPV7gObdMrb65RPunDyXUuf6NxbvOba70KOkdU4PIoiA5OjBzLY6v+2kU+k9CpQC6R4nE1LLzwUcr5C7cNf1YxCo4fwwX/SOqWyac0kv4Yq3mFQkbcK0335RIqR6Og5mL0CPDQymSdIct5ongmeR03Nkf66T4/D0LWqKpsSjXHVPUv3Wvf14qxoGnK9RRkDf/OZVAV0qZjI+jztX7Jn4NHu18gu5HQWCh6pfAIjWQvEwq+LXutdIbSVbcoOrasRInL7ULiyuH7CGn82BkbMGKcokMkN9uS/VRBhtaoNdlSPCPupR65Fl3f0RUV+jBmR6qxh81++aKU+5HjTETsAW5FHbJ/Vx3rwMruvdeou/qKdQZ+du/AwuSSuHm5OmijUjAlKi4P4Acn4ZfnHX3JLcC/19DVBIvk1t9pnPIyzDj6dGBicDOJpZg7JlfjEin6rqHWsAlOn2vYk4EIYazmIxNZnmkbKzkRWMGgtqH5GSil4ZVGCEfE8JL+QsZZKhQTHYIeYVRpI8oBHAmxZ6OhYzG6bZ2tvM6lxSGXII/0LIpSllDq7PhlxVzXvnPLXB/2qVxMQ5tHum/R2rtq6ycg9fQszzt8UgEzMaasky2kw9Timz/LLUi1aomIa5jmOYevde6m5VGlZElVUMhiDKRcrsGfd/gYrlgptXwvt3HZ9KGXyEbhPgp0noS4LVsqivQdUgWfPgIWCXF+0BiCDBBACeBJOXtf566zdawKeSW/L9c4BbU+10n/t/q8dRoomHIpCB+j766nOjBU9Dkd5yA8r+mRRk1BeOhic4pTOd6szwNGCv7oGtobos4bV+b1UErCros+t3qDoEZYRXqtp8+NGuDhuvq8F2C6Vp/L36WzDSBv3iNC0d3gTfxY2rHO6nP6lzhEkJ6FLqUxYsPOARtJGjl3zTW/SdnAsyPO166gEVUpLzWw4NIzPofB1C6W8ZDfN4MhB27y2Crk9r+yTAoowYvWfns1wiY7FjBQkC4Fb/hZ2Djk5Es6mGH/Ut4z5zIgV2/G/KQUin9n7poQx2a+Oeh4ykm7srnhlrybXIoiAza32u9sQ/naYy/pwo0oBsgARM9+96RbxgBps2VwqNW9Pfutm9+XSxUk6jj4hVyerkfy2tw2ZtE3EQZQFohjCdwAoEhGPQ+kY0uJFJ3pTCAF9Ty0/jnd95gDRLncFTpzThbeqcRv0wkcyYAv6/P2qiS3SfV79Km0dpx/XJmYeMjXrpPu0TC5vJQDsPKdo52UyYEaFkl1MD2uJoTlVflknJZTtoGa8nMJ0PDvfP9tEF8+FzomG0/UARr5dwqu0zpm0mG2K3JvwDpTBmoBGSQxEx4ssi+13ZgrjarKlVCX1IYwihLLkPVIGYuoEfL1LExucmmUvJ+2HKroMw6k8H6D7ddt/mwdFAKqfUCWaSJFynW6Q/Jm1vv2dry7iNhrLNlnLLuX9h7m5Nyzul+7b+AWpI1SKZta5Jyjv9RQ5BdeAcXIBSC/3AoRI6LSqPh0bnT0C+mZzeejzFmkjGDUCGxoJb9N5Fr3UIgsz3Qgoau8TE5cEwwaxJA6JvlXxOig40NxiDQ5fVY7eFEHbtUWXg3QOKZxyQmkrKKs8zTZYMhnrxe8XKExYkBx8FgZAzTv7NRnRZ+cvRDHfC+y9j3EUwrUgPhr1AClH0T9+2ZCWriUdFgamaK8CslYyxAvu0UB5HBCWTBTPB0TEfYzymeJw5eNQqR3vo3aX4V4mVEuvZrWiCgcpY/js6mDKbXTvGScfnCIlfScMm3P1f5+prvXWQU9HeejOkfV572jgWvPmbOjJYCSfQYRlFn6HhQnP/EpQFfzlIOJqI15G4TvcziZyZoix902ZMAGBS0UUhIAyPw24tTUEarW57jEWSb0eb5uGYhnuxGA0pFkhI8BMdqOPt8i6MKbwvqc0TcuHrM+54291OXyWS3R5cB5R7vaxKd6/5ZzgDt5FC4T2sA7f6j0OWKA0hsotcmbeO70UaMfTA7Y1ATB0zlvndDMbRI4Q1r+zno6jy02eezU0/s9TfjE6GnO80Gy9Ur4HkbR+0PBG5f9lhhOcPFY2e9oklOuBV+McjAYc/AGSMEhjHnDB8zPN/9tiZyz4V4EORhp06Ji5+x3jazxYKJfzfY7BW20FvY7B+gu2+9J4iPNN7+D+fkmtJPU4ZyIaEmQ5/RLT5YkXSq7IRA9wHxAqDtWx95VXDaA0KdV9g/kN2cFmr9fBdczp9OZzUbShfK7edPIaBuxAWTS94I4WWYvJGdY7uqUG4VoKJQgPIDcDVAiJ300k0Qo1JADN3TuaRchJH6bNnATlSe9LZ5ZrHxbBykRIWsI4sGqkXgUaDeVL+5nbFy7juV61xJ5WkI5+R77tqA/B93ASwdxdw4tU5+vb0sA5CAN/c2XQElkcvZiS0rydMwBeHlPbCN0svn0N5MDNjlYIwL/UloOrJCCRZLXUqL1KrQgB34rdGjpUtVLiJ8TibKRupPXlYIStrFGCfIzOecztwihflI15KTgR/HZTEVPko7yPm7bb/TGuv6cZ/ca5eAN1yZlOX9mKx+xC1hllVVWWWWVVVZZZZVVVllllVVWWeWdcn3L7wwR4Sw3lx8UaCISHce1rb/p54BpiRSdtC6RQr6GKqqrlmVnuWY2wEEzr4Eq52NuGwCF30Y3iJgA6iZ1oW0sUGcTMrRenM8nyLtPmYzIkLiwR4xHeD8iJOh8jA8Zcl9QKAOCHnObOwDQ8Zhb3mkumUKJ+OdrU/2uRHMiETV0PSFHzyc1ofJYglKHMJY2oNEhhBO1806Qa7of4q+RnSYYVs3ZWbr2ZZ2i6DpLe1AAObLOtasF2k2w6hjHEoFWA9oWoW27UPrc+SzdXKauvMuyNKqG18m60kt1rVW5VV4zc3BFhnuV8a7NDs7VsPb4bOqxWH69zlGTcd5bhrVA7luf2zsXvSe17g4XdTnQ1+cEc0/nVRCIHqAukQKuQU72Sl5L5ri8uzS2h7RPxDmCaWa20ecM71/SIRCKkI38DAI0fDTFXgQ+ntA2YRTPyy3S59QSeoBSJpenMPIGQIWmXCpV5lSUEyGWjCgf83EEt0Klz4+VTgeQUBcHQl6Efda1Sm2h1ZbKWxkdqrncVNgs9FE20+sufDZSpzL3gdTnLFoXfe05W49iD6B0+nmq0xltA/BrE4CmPErrIZ1vk6/Jq4AYjwiekDXpSefMPT9LKo8bMuIGABwMlYrFUg5VdUZp18Q7bTgja/i5yuw3cN5+h3isERlqgFab3NIbQNUlSgmbtrTTI19n136HptNja++STZuWMrddi/qlzb3nx1dYjxVQuvHV9vQa+13GFr5Btqu9Eiy6o+Kf19+nsTrInAUi6QsyJ4vShCar0G4BEJw2zEMpzWVPl9Z3wL4IUmkUBI+kAety4iVLz1JrojVQNeckd5Nq24D37o/RNvx0Qky2gH3CGbNLiA0qreVW1Ty+xpDvlUozE4qoQrnPVAQ00iJs8nEuIRX8Pu3fzklo/B7JbyX/3kPOtK7dBAmGoqdbKgXi/ZnuF7jkEaj9yLbLH6NscgmtQNmc9YsFyqbSKbHmteTyO9IpjR5JaL2W0+aSyNKolhuLbUK+7wr5XNv196JQ+qibsgfoo3gujdlBSwvJnaMav7ylYrj0HNtz91AwsnqATip1MXDXcqU7tPq+DtV/IxEx89oAQFRcP/uemll5bp0h9SUgBDIQokSKPkubiYoQMMnZEin6oYzH9aDJSAABMZwQGY7Jzn0Q3y/7mdwGPEQ6zIEb+tgUpig5EaqXkC9N6eyAKKXhw4AYj4jhAABwcYSO5ATnFqPBwutjJvbj77JDrJOTL6HnufymqYc9J3WZUVHIc5BDdqQBwIdjVoQhO31HhHAEok/w+cRVozeZv6ZA2gv/QcshsyRgQ5BHn535yuELDiGmawpHCtjECJUcTg7YyJKeS2VL55w9WR5CY3EQNJVGCVgk3+d7pIUrdvlscN3a7cMIO8GPBkr4S5MQ83nueQ9XKu2bh2m9LNB9VG3fAXCZSOYmEO/etTpe6vOYNzPyXLcF4eX584Xn35O+AJUlceCm1LC7vLVh3UcOvgaCq/V50j2X9DnzJAQumWJ70QQ/iRtNI+AILr0kPXSEVtu8GTZ6Q0EbUUriRc0+H3NCl8uEwrWEtFKf898ndf9ChwJl0+xTO286diqOrrLQ6iHfjyxvBVB0OURQooJIT+13j4ulBHDSNSZ9HmMJwmtFpXN5HjQTp9Y8GAbEcdM+v27SJyJ/l+8pqtBUq7D9HsG6kTacB9rYCc40oxy0HuHFRsQ1GxEZ0FKYBumuteE0ts/z7fP1FGLOHKRLwRpJKk3BmlJCrJP9zrZbF/45udGSZKFz1z3hWmrsdy6ZSqUFcr6LbRLEoMpCiUTLNWXHl5Iu58qigCsDar1yg0kgBmj522L1+Zpzknlt+PtVqVRzrfmalc4B6ZiDAsVnVuxHyHFkkIkDOBcIiYEmCJ5upgT0hD6XupxLeVIAtuWczN/JpUOYXAvrbV7PQCmVyoEbUOCIeJ86cxMFVQKAgLEkCPhdiMV+xEqvuWXvxkw1xkRPXbEBptO2dqAOxpwjrL/qvNFX5yqljYXThgOy7fvflhyVdVvrkTZgI5+FtBHSlgGlDKvltZSBFFTBoaakl+2vuo58uLrvyncOKCS3bUlUG2Se23v0fHOel3qcnpwtmzx3b3Gqp3p8NueoGC6dt/z+40mISdgvbs79rqRtmPl5KjcREcfEa0O/B1B9a6kH72dL5+tbyaHnn9koAER4xgSj5AjS33ihF9LLa9E2eTOBUhdJTl2gx6JK1FVBgYmJQ86cgpAyydEHSMETd0NxRi5y3OToPgUi2gwtG60QLEJSUDGc4P0rgjpCx226twE6bOD1qeIM0HrIzhKdzwhj2BB2XbEou10cGoeKuQWKQ+8SQeFIgRpQVkyrAco85kxsuXY74a+R189zuihDh3J9VWApSP4a5pVx5bpkND1nCafO2BzCpno+lXMnCc7ExgMJZaMs2i5VUoHPjnXG4WuVKEeki/KZX5/XSWeczhhTlNISA+Sb+yjKep7N/R3S1uberXPUNDtw7vfz8s57rAbmwEpBHJDu5kTJ5bFm9TmmxlsiYGQQvrr9zL/Q5xupjkFnnVqILEvgho7zmpB15OnS9JAdbKg6EE8fmdHnyf7xXyI0lDZEWKnroI1SGipooRcpcB1wBHcyDHELH/pIBaU0vOia0Qaur3Wu+L4qckSh0/nzxeGt9WdEIQXlOVBqC6XFhkvocyvuh4NQvaBEfb19Phv5cwniMBdBsTEhYVij6BYWEGiuVX1e+Z71kj+Z30ZsAPmKraaOMiWWSM+g5VgBUPEqRR8QtIWOJSHBmxDJzdBDhegzOnVOZIJFcsXITHPhK+Jkhks8RUfUxJwDtN7exF/TXn9+No395oBNlRgS/kUbUKG1LjgmRMJlKY9Nr0tVL+nSR2lq3GK/y9i1n0BymRSTgvD0PfqcyrquJgjmYMrC4LsI8tD8UcJRCVvMyBolnlEJ2IuA8Bm0TRknJa8q4l0tbAmy/qQAC+vXmnOS/fE87qQhSY3gAFBx3OTgSzqfagN0SaLUI2kMH0ehH+g5ePjyzC5I7L5XfR/vPYny95z/UjAun1Py3YjASYU46QRs2kANj9nbw/SuUdovANW4E9vW4bUkEfZJBHrrBMP88w/yHmN9PXXytqwl9l1r4vTr5rk6p7jPXjCl9s/fx2dDMocGZMN4Z5+1XNCiQM3l5zjf7IR/nuw1ALzLF4/zQTQpd3xyq6yyyiqrrLLKKqusssoqq6yyyiqr3Etu6B6lUzSLiVyiKJHi6JSusrPAmUitqJfNx3K2VEb9OMst2cyZjyZkPhqGVdbdT2Q0nTtF+HJN4hqJ5wa5kxRAGUUdUgktX2r6WUEDqX2liqm+VQ3V2OfQNrlzBWecNWVjvUTa5Owsc+9soeIRMZwQ/FsayCAoAxW2dYtNTRkvFcr5GH3TixTPRc7bSLn8l1E1MrLLnAKxil4fKdIcfcnAmidota2uFUCVpSvZsrpLFD/HVtoMIl3PmCP8zL8gS7VCep78Wdktiq+njbCXf+dbfMtn1nafyDDuWBAcFMmXNfBzqLH5eGsFUa6ydAKZEgv8so5610imS1LDYOtMyXnuFz7/rfWlTRR/goDRMz+zzLznXaTSuej3PTtHsQ4TsHfVieBfzBK0z+YM9FLpBP2OzWfOl7vOIScv6fMyTSnDlBE4EFnZuU6EzI9yoQV4xUlT/lbG9hlBE6Q+L7cOgDpKSbRNvvIZjhv+W74GwXMT0t8ZRUl6vbSsDVFTSW4qgfVxRFADdNzmUlKV0QuiRXaCZLeZyEtyTp/TY2izdAWNUUOt23eB0K+sQwrCU1flrXztc0hJHlMKl/CU6/P19YhMIqNtAJBe10BUw/SzUicnDgwFL8y8nlyHlLpEjngsrEZlvzVsRiS1zzn/rIgPKMDVWd3G3kkI/jX2uxWZ1ZYIqswxIRCoEhFGpbzFfiu9KVxF6d0ECirsGv4aFon6yr6D7BQVShehnp8hUTbFjk0z5NeWNvOzkj+X90/qvCl3TitLyxr6x8vPFZqU6QRi6epEGeH055xVF0pugTAqnYQcX9Kt0iGm6+KW3Pl3USJF55p/PxmxCCQdH4tPzndNIzbIqoT0Y24bcTmALqWLYASNQIzOoVnaDoGM9oTq27hW8j0LlA8i7QOkz9SWqZVLr3Uv32f72d71X7q2Oena86ZVfY36MADcZC3L87Q2pRyvO8Gdu45Wty3VI21JlBxXdpuTXavqDnTF/6n2VGIvUJ7DstLUgmBtbRYh7mtp0UPz+uSyNNUokH5t2QPUJV/STz9/7nLO6ZzO8dmQTPkzr0ONzfm29XO7HuEofw8TNE9/HJJ6rPu2+wZuJCJWCIhpAgguGQAYccN96OWlEin6DMAlT4WQmBZsBEFky3kLkaV0ftpxlhJZMh+CBkoQKJ+j0wY8/SvtmYFFgIRFXgjcNEaKeW74+qmR4EBQYFVqtlWwiILThgIiIwVycqvoASrU5LkqBXC6wYeFSofG69VlFgh4RebLDpBSdE36sRtY4kANPxtZDsXXt7QGvuVfkA5fqWUtzl7b3lsSD5djPSLDy8SF9eZAbngokCINbyEgbmG7t5dGVZDI9KTq0qh5ZbnUuax+n1VwWARdvF7EeGeIweaf3w0kxO0494R7frRE6Ym2jjd/pC53hSCXBy4b1jl9XhPOs7BTyrocVRCeL7VwMhR9XgXhZeAGABPNAxaILv+NS6VkMCbzlgGVPtdRQ2tkrhqldHH+Ozqox3PDwXgAOSCv1ZA3GD4F5Emfl5KeGEcE73JZrNZbRGXhQx0MkZBt+UzmpFcGRcdbZ2uZ8886kp+PdKplqU9Pn/dg7a2tLBwsbVC41p1tEKc89ELqXgdtiHcnVu+fqTaZMnjTXg/fL4DCb9MhpA4IZNc75TbyXuTf0i8TmYPKXzP/dP9TMsy6zI3JnI+0dpACAMpA6W3mrmH7zVxFfE2cbNEC3n9pc9Mr15L8SbLkGuglhvhdkOUTkt9vykXRe169TXIb4DtXGkXnv95+l/HrpEtvs15Ls0FBaF4dvk65Boq/TAfn7f/Ub9fp80MZJzrIEik6db1BpWHSfC7Qn3yOfC1gLh2d/Xw6J+1BiCsqfVZrhJSQYIJgTqZKcuJz99wjm6drKPrhkuR7j2UfIO9VJj6r73WTfrV+k8S2crypvzfV5T090tMhbVJABk5o79dwEaE8W5ZL91Zd10zgqNJ1nYDNOT+1pXKQCVy+nkI6XCckyjMRzyj/Xz+jnsjkh7RPrR7Jydt8Q2kP0gaZmz3b3D33OLhIpmVLLb/MNfsAOebk915ALi+c6wMptf6dltLRZ3okxCx3DqDcTEJcl8hdKzcREZdoPgiNwpH9/IDIQJCyR7rA+Ym/lJ0FkkME5tIpiJ5iPKcOUInuz78c0tFXkY0BcyGw8CIoUXwfAKPp38rZF44+QM6+Qq3cemSWQMfRBzIvgtbEdQMAOloE5VLwhp2sTQmUpMxsjEeEsEdQtiyW7Lj0aiWXRVWnmdZE4BVd3tTG6LKSV+YxjVHIfEtGjiPXZoqq6WQazyvHZRw7Pj8fl0gVUwYxd4oy1bXy88kbpCsi6jROQKusy+++doqkUbgYxe2Mmxyy3qa4kB3fB2XTl05wqDEKPYV9OTh0XY3p+6WjUCUC5l5yheL+mIAXwGgbID3HyLq8cMD0kS/Xo22Kg8nBIkbbAKxnlXDIOVupVMlQnuMrawM3MtMuA0BdXgSpy5EuTw+Q5MQ50B/R1ecsPdJ5+jo9sxAEogJa6POEpkwdcLJuBelZn5559IWovs3sn5NuAPfMO1jO2QsO9Z391tGne5zqlnPBhZa0kq9d8pHxvbSbAqUYnVoQPaXrxzRAJDvOBIyAGqqOM/S5yyLRAdJ+6zObrXZD3svCXpqjco/TeTkntUM/zQDz+leCg4gDIa39voY7rye3cuS13BN836p9/2bs6rluj/I5TZIulT2XczNdE1Iubbbmj9d8Ntne9c4n/HPKEhdem3INrbI7Lzlgnr8XqneOuGP4PSqck4y2qb6f1kiP3L07rvDP///tvVmS5LqyJKhkZN5aQX33Hnr/a+g99Hev4L0MJ/sDMNiMge6R51QVVCQlwzkB4GAwKNQM51kSiksSHqB79N0S/zYC56yKSQBSBa+SE8M/F0ncAHCqG5nUOax32F/qyeMsyW886cc2ROZI4RWXpELkW22LBrhkE92ELpGb7dn8ditwlYK4jVYBO9surkf1JZKVvUqx+pvt5W+TbbW5c+TiKFKxR8pMea4kft0kycS3E+XVpP/1OMCobA7bn2vCag3GjikypX4gAbExMx7M+yRLDNHftqzPoI0DRD6bn54c/mwSYoNB3szP38GNjY2NjY2NjY2NjY2NjY2NjbexvnpUk8XV8Ki2ktQNzhoPrIZIyW0t/O0GbpHTpjCxHK9b2PazyerpXFp9pLG4jd3vrz5C0ndi86WAplz7T662AXjyuM7OAigztGJ2FuhLQ2kVEsnqn/hdM9czK00hU/dZGeTrG8f9jfv+D+4qXeaZ2u/Grhb1DWUnF1K1cNaGGiRwU/6LqzGCHGrzxbNq5/8Q8j4tUZYrMMn8OlZ+uaqysZno1UpRQmXTltqVKhtAzMz+j7a0n2XYJUa5bLysT0qFX+X9RXkWPMsQzQr3Z9JjmWAwWwv7vEhZ9Iy7zeSKLgeMy2dDWJcrtpnNgVSc3+c3eGn5rn8Un77eGL2lHdXsUptBYAVMW/5bhCWvriRl7TmHWmlFGK/2cZlrzIW8umWZZYgUvulmOHn2dX+napv7+GrVWbHnQN0uZpVJRUkKjFKED4GlmdL7/k+7FzbUgLbRjFk2QePtkFyBjdWRfD9PyNBQupcyxARAs89SHh7ZcTpWlxHfsyjXTrlHsY23yiE1O9q26hBXWS+lLqnL9sole2k1KxmynMGFU4BVN3f1h8px8az5fb84BwhQ31tzH9oqhzosotg7ap9XnPQQ9R/l3F84Tq3gOcVsPAClsIlCmWeXIM/6b78E+bfIOyFVNqLurb+Uyt1f7j6MQpvlfXFKWRj1i5r5j/vvGVhllV2titsoVi5p1z6cPS/X0DknaflvdZxQNFrIa6rZf+OfQ9W1vL9f9VybxyUbBxCib6n45aRQrCGv9R5R/9TC+6TzXv+m1AUy5yTZ7if1KY1JT3Fjn+h9kykS5HFNNUpliFQOpHp5oSiYbhglU+S3u99n+Hez02Lb7Cp2tl2lVPncTSgz+P1OozAm+w1C1me4VfHCMEvznoJtCI9Xfql+b6U+kTrvuv2qgnYMYPus0TggD7+ldAzeUYhUs72yGJFCk8pkBQw6+Wyero5Vrh350v1rjMswirBb3zOp6teKm6djjWtprPEsPEpIFtGSnl3ATTrGEzJECmAnfcXRZwlmKfOuLzMNuosMlOSz9ajjVylTSOyljC/NbQME0r9f1Fpc1OFRaE2NkyXihv6+D4rrrcnPLuPo1+tn0nof08vhUtK5PO4L5ykkpjVHgnUsSid2uQ9aSybrIPi2H7RxCuU9w+/q0AE6hpyfFxs46fT9Tp38qCMYxb8DTJRwG9nhixIrvkT4WMm5c+M4/wO5PK011lJavZLHhv4GLuFwF4fzxl2dhV+QicCsLPKpw1cgQ6PkdpIqJp3lAxk3l9MOBIVG/VhoTy0HQNIxRKDnly8j3MUh8gB9wGhHJCiXY8uOiFUJef9nySFpz6NzOB+CxYiEj2XZ3I9LoqE5MwdCEp4vgjro6NtzFU51ANzdlQT2Og8G0uTEMq8CLuA4SsJZa8+zhIxWZt8Lgb3wu50T2XMd0tJDfpwaAB5nbYa003EYK9k/mXdshaShc+L62Npr++7ab5Z/lqAEyPftn0ckL2955arfYPvqF+p7VsvuOekuITX4ebf21PexvBd+SXWS7dPg9rrPNhj9OmrS6vsP/LTSVb8rm6MlyEli7kvbI/62fXrWf49CmTXZashSMbBqg30ZwiAGWzKHTTlO57E5xeSQ7b9bmyb67yjhtp100YMi2Wd/Ies7VyZdNJKca2H/XfJANvtJ+9WAlMNQV/ssTkp84lCTstU/p2+o1ruR4e2oX86ezywBXhsDTcSfbbu4Wtl0kx/O3xNOQ9zUc22oVAY1qSrqNIMe6RDmZ5Rdv8yng6uQywCO+6zfCU9WnPjF5ECnDyh18t83fR9f6lti/7ydK76jKXtoyJsWUjUcYA9I/sCe8D4mbOg4Imx8Xyp8hVZ2f6KihywE1iZ3b6FE9+XGAIf5vp+ERukwrMv4d+SXl3H1LPr26iXKMb4fhN88MabxpJPdJ8avrRDrM9N9nMnzdgV/6/GMvbaFbtfnkxDHpW5sbGxsbGxsbGxsbGxsbGxs/ON4sHrUF2SiSApDuCVTCJLWM+suWUIvtRQlWClmmzUVMwh03v0CoJOs+b+56hlT2dhcKUFsbH75ddQZUJ64+G+ltgGK4uaqzVZFydnZWhcpzyyXzdl3OTtbqpnN1P1qDG/Z9sJ9xrNGVm7bYzW9zNMrQXqsvZQR9mZmZyWQMmmhbJOTQIpl/aTK5m4rtGiVjUxc6Rj2jspGQt5fy3Kr2bn7Auqy8zpRb5wwc2WWLppFIFUPt0WGRnnJ6wgzzHecHFi3bU7RkyUh7pXDWJZcZvXJyvnQ9dUlWzmfvLZ9V7w9b1AzpmLFDCECehoiRUXHy+q+irqmyabhyqbzSW1TjptYBry1p4RKFbUNl0srSjVlzVVmas/jl3oMvEJgtWsmuSWgJfeyT4sSW8pjhvY8kiGbZ2eTqKq/jwvAf9S2zJ6fh08MfzobHyskZVtHiFYXidrhVo8KbJ/sT1w/NrA7so/kMIGv9mxoW1PeCAxnzw+xUiRoVTZWW9EMOiloAZ6tPW4OR7rubxz3L8iwOaq7b5OX1rfqJH16NJs+6r/ls59Z/nc0G97rv3U4gVbZcBtYZZPJ/iUylY1Vymp1Tax+0eXOzyq7ctx3bmfJubzWf4ttrLChkAhOIcCrrq6FSFF91N/t/a0rvbrkwNSW2h6xBLhMPDtaXdXWo5TLykmvQPxuvjipBe/7wgvfzX4DcKFSVG4GWydpB3Robh4yZNsS4Us+m0OH11K76V6SuobrcZlvLFfayHpZu85/57Z9VjFhV9/LVmzL/OuVMMt2TWFXOMzyahEInLzZhygptd7h/fGsTq4vQzz2cu+rUtV8OYW/rFcEazNkmQUyNIp1b7DXN7ZrFvr+Re/b+bafXMow6vhA6pYmaP8kfnDlqCyVAeFheBTgg0bFoO2mm6aXGXzs6IOMdFli8GhETl0C/EZ7SKNlY9lRjo2DdPTPlnU+iBI9NXEDFPLmPC598Cnrz383ueFEhxGGTNUBv3X6TkAZBOn0l21aigzoFyhdiq/T4USEhnTwtVHIVxEZGWa7JCjVnZx5aZjJ4eOVJv67Onycw8YSNmoZ8mR50AjZ8qnS4WoxpS0Om+ShX0BAGFlyowdVTuRUOqniaf7XmCWIUiMqZYTHkRjRNengyHktEGFYDzqedn0AKsP+IJv7I3Qlph4fCy+776RTaIbK1Y1sdy9ECsidfR1GQCcVR98SRq2faIMOgEN5ILahETflvIllwFUYLBM3ACp5U4ibtrIUhLRf2PP7fuE8f6tVSQ58gVYJBHyuBDt4pVw35fyrDZaiQTzVXzrj/luMiM3s2JzsoL+jAXuUt6Qc3x+sZ+Xa1TVau5vDqR0ceX52H8jpzHLQRHa8kQn13ZdL8R4iP54cZMpn3c5Ff2D2JXyhstMPxmROm7OG+SrS7/7V7b9tmfZ3tvJadKxdjj0i6ej8GbIG0OFQtM/23xS+YAdWTNjId/1L9NUipMP4Hlm43szy3prE8U63Jk7iQc/KpItGvLRt1r+R38zhHpcKkeK2yhAphNfKwCsBsj0v91eXjXq/dM5JMbiU4ff1WwiJmyBUSE+qcr4yT158K9t94ncjbkoN/yz54q1OgZ/8hKiJVkyKrnfQvTo0QXMdsQ0t28Y+RmQbZsiZXr0lbrwUySevmZFfFqMJ3FZWkCaB7Eqz8WJc0LObaiUtQ1zR2KZfl2rnHEGj7Yh8ORVpJsYA62FR5bqubOGHAeRTFtvVI2qHZQQEoRoH0BhAXfOD+WyUf55fY+76/QliwPjinyaHJsYaS6TNAU+m3DjbErHSGVFqm3rySlLiyBlDHTi0Tojy2xxnGwxTiac0bmHZeSJL5eiDOoiEuDHJiS+8yjiPjCn8bG1bEtzEzgNz5I08Ts7WSoef2n0inp3MmPh49tsbVevc2W2WrW/bOx1DhJncBpRwWC7h5+Pf/wu3yCkDwBE2OqeNN5gzuWx0/aijqEuxqyXROZfNiBxacfh8EjJW2XAZB5hh94OwZ6BOgfMi+aW+PwlDpizns9GI7+UKWTPbTjOAFmWslTePNAkxAnvekuyKTp7sriAQIHLSRLOwrqzIpruyA5tU89voRy0GhG1wEg9GI3vOdpedfVbdvISNOPG6L5zHpez5efxSasrMnkviRtbd3guVrNja80PfizOZqckcdK9iiY/L7Dnbhv5gfcXhipZCtY72DEHj2yAHOU+TnJcEn3ydSlrdJ+hdaaSAdHYnklJzPcW9bkQiP//2PeFUS4bLOq7MpAP9OmUzuTP99yxZQ3XO8s+N+++Sv0bbGE3YyH5stv8udQhsv+tDba442d5ngx5PRkYTPmW7ItLVpI4oW+Q9ke8QMkUj+P5IGyNtUNQmSdK3cRnOlITngWptYyVC7aTq6H6pb+1AW5iDbDlPLhD05O11fSviBqjLgQd5rACtnCRkhE2EFcJmrCQR+2u9CslVQHluJFZJm6hec3XTUGSMiBCIyJuZe0lkXnRsqJITfSQRNjK3pfXPuW5RpICekJ7/pl+iPob8vb0tscRvNGnbGwdE+e58snSDkNSOyWDbPo/nk8SjcmLlsP0fZgyw5pdENqv8kPXQ45r381lyGSsLnvzUiGpjY2NjY2NjY2NjY2NjY2Nj4w28ER5FIP2J1KFcKCFSADNwZ2PCbzmbOJydpb8BktRL6WdR2bzEXHKph4yjBbT6pPyXrz4yUtsAmhNrKwJd/w0cF64T4LwIfNJdlyW5j98l/PfwsfOoqz+0VaE6Ek0AfpWK+6XuZzRbe+OlrjrDyFtkswY9KfZqvoNsRvY2M48U/84SyO8qgfxv9WyKKusAhyJplY1efWJeZRNKqe9o26vNepXrC3miYbrXZunsjN0Lmimm7fKa+TfXK0+316i4rKKjaaeZvVczClMKIi8Pl0uXA8CzfDadGQhbHyiZBzzL/i60aqgooQKVkmuL/G2+4QffdA+R7Zb77DYJaeetPYe6Jn8rUvlz4bsqJ+s2sfqIrkeymhS4LD6YftsVpazy59J2v/5QM2iBPadcCZT/hOxdz9bakClrz2WuFag6mra1Jr7CrzxXDIjfndWgTmUXT3W8Ld9C5h3I7LlceYOvZWYmA8XmjLKkpzyKcungLmVdoqwDJ877TPvvTG0Tqn+kj1HDvFsdRcic9F9G/Xev7+iHY0R19n3g7BK3QD/PBB1v89dQaJRcZYX6cdl/WJXN7EqPXFe/vLeetWZ/IurvpNKl13/3nkeo8Lx5hvypb8Ztq6p33KK/LEZM2rAo/LXrmxu/ku6BD4+q9619J+XZltXdvLonUprLcBqptqFcNdf1LewhnRXMzh9kX/6A8ku+8N2+ZdrWlEqq2/9qdZhBV9nWUbL03lfOH1Tq8KWu81sde9+vsE8IrzvI0xiVneG+X04VY1fPk4hCpSKM8p6x7y/GAeBcl1J9En9TXvEeLe8t62zrJ/ssqbJpy9C3canwz+sVleLdqH16iNsSqXmsAp7KTex+d/wR2UpfjlK+TKqGMkib2LYFCvJPpGJIKiAKiT8sqQD9SSyTNmys6++af4BCpIB6g4+z2GIpZ2qJzlCPm3P0+VgyHmRcgeMGbnyDJaBHExrxlUv86ymbS1LSEXFTjwWYuEG99o0Tl3hAN1647j84L7D08wRUQsu6jfIinDd9OKXTKI65zo2AVqa/V3ablXSmRI4+qGx/KKcsl8gJmqyuFpFhtkaBDDAd24t/v67/QlsS/v5TnbsvHMf/KPURTl+UdDhrR295UHLwnMN5y3e0dtyVNJKdhZVo9tCkx6ZDskQKfUcy30vkcD6DkRHet+oUPkdu+HI0TmOw35ArSlgyxWKx8/nnEH/boT2XIVLqfGlDLmHLNYEzktUXnIq4Kedq4kbWR+ZfIKdf9dkde16uw0uBF06sLqds8iLo5MT0ff3B1XJQXcBVQxtFZ2DtebmteiDPLR+/MxkpX+6TzgWRoyastM9+4pP8dH4DJmPsEqixPY8k5KrsIOS5V8e2X7wzodx+ouzjOHHhDPtv8nHkMsIzJIrM/WBDpsIlw/VFunhi35/03xK9/HMUDgX0++9bDLbY/sRLe8v+G0CXsBkt710GWTbcoE/YHEG/M0/W6EGQhvjtfATbfx/N3tyNdIUPkbo5nw2TKTK9Adq2CDZEqtSd+xK6B0TgKAKsEfCmrQf5qvW4gPiUZIC05+f5SxE3XDb9LfxHsvE1F+Vxn8D5G+cN3kaEjSX5W/vH9i7Kz7OCnm2b8m2OD8zHB4i8iBGR07/e3Lk2DYEla2RYbdSXsG2Rtl1/q/JbkoSNRI+wsfXisuzYwPpBdpJ4nvSlMr3fb2zW7e1IsyGJ/XLldMaHYTlUHGQ+GxnCPDfOiQuMxgE/5YtXm/PWWMZPEESQi51kyRLWvuy0ztVY38Tk3SD1C5NSr5SkmXf0ZcdQyr1rR363nDZEtmh2v8W2Jo5+KU/O2n3xdlGmTE4MlJhSriHFZP+p1FGZmS2Ejc+LcF9XmaWFeYHVQOZqxkMauJECRyIiciRuof6YxajjeuLgybpYR4/+tjGqZJBt/DvlGqJtRyNIdMJh6fBFs8oW0ytNNEYd9ferfJDUmR6RsWbMqVCifTVLPNXzfqEpegaGeVSmbmOksrlqG8V1EuXQ3LuWqWHsIPSD+WxaW+djTJexMHv6UUVPmoQ4K1w/I6uA4YHz1bbNqCfpWvQ7Ugo4tRXOZrufriilVDf1eLbn3yjdIecJuFAJVzOAy+w5LuCmMq4ykG+5T1rHf06tUkKYsecjPMnvkpU/893aBMIAKy5IaUH7M3uuFTAimbN73n51o9l6npVciUhv63zLsqnPCPtvnG5FmlO8b1z1seLlvnngF5F3P4knA84sKah8H/iZl21Z/hr67mSNbO45eidsstCyb42wCVeKauX3SdKVvs2+11YNHvWt5aJrz4PfobIYCKltSjk3pNqGyn6qtmEEhFH7XukdID/iUjltSB0kn1tGfNj+oQ06DdES+UoRWXRdfxpxI7eXiduv9psvEt0N/85Zf53upVqEYhJKjfMXvn8LqvOsMiY61/YH4bFJTk1LDEm70n5XwoZyY0WrNUXQyjw9BqD9ETL1D9fPK+5l5AlfWxMnvXGBvH5Uo1a2IruBLM/kOmHin4NXDhlSrI4BZtEfbwTlOP//A+ONW983C54g/iBRNLngyU9RUxsbGxsbGxsbGxsbGxsbGxsbb+CRhk4y7FLS3mQ9x1F/X8BNUp+rqFfAapfHS4BTboOarb4gYjN5z3n8Ylk9+BpSZm2Z/nTpWFCoVJmdlTOz5ZJHmzWiWYULL3CeGw6XotkG+vvr+AUbK492f/k+vTtbq3DMZ8SfLXOEnrqmbONcB8S80gydnIktf3+L2TmgrRJ132XWEwCFItmZuicrRUXLg8q4VblaFJ3Hs8U0C/ULmmFfkwrGM4J1u2CkSfkiFRufC42CVo2o0KhMJdKfJbIzCI1dN8y3lBG2sqbZ9fl8NuaCiEO+Zu+hVSbVbasKmEkMryll8M6e17qNyujMxLrijKyeypBhqGWbXia0nUe3/QZAyhi1DV17zvXwectOlKWUWXHDWdpaeCNKfe/Ent/H1foXGS7l8iXUNr/gFUEfsed/GTZfQbPNxsZf9zdk/prX/a3CYwC259Ku8XLCZ7u/PbtV7FpiZyZCgV0egvvCJfrf4zjdipAlzKKsRkPLCAP1HRKhUrYes/i3PfOnOSay5237b165jvpq7rubsmqh787qKGfEqWy7jY7Vds72n7r/XpnB7r2LGmZ2vqPS5WvWFZ1QUxig9gs3h0iVbZSTRqtQZkKkZP0OZX95bMB2n8rid4DCm2zI63H4ZcApREreXxX+H4TAWsgxCB17XX+aSpJzVsl+MVHdtEvIPEKyDZwLx64kSEpB2Ubqs1T+sgm87ccJrIQ73cbGA8buB6oxm6typnyt6tbKPbpm+f0Kv2+J6BuVK87xcVrFGbWBy3kpu6bCLIViT/o/BV+i3HnFPd+LQWiUUqQVH1mWHZWRRcPYv6Ol5aXPmY05PoFP5bNJxxt6o4kg6D2nWRWcHdPMf3PrOW0SQ9hCpIA6eLtLYw+Z/KyESKnBQjvFvsxQv9l5ZzWUTHymDKpKTAwAX5CxtHwc+G+w4V1JTnwfF2p+YXwdJ667OJe4qd5/WoLiJqcX8np28q+anM3nuiGJPSeNY6l2tizhKn7SKZxdqq/8rQ2ylTvSkn3NOEqHT8TE4zjakt4AO32AdvyfEDYqVKL9liTSVZ0/EaLUBhKxsZ6JYc0cEN5eQ6Pqt1faKEOjcgcsgw0doHIiqSITKfJ6T6WKHahstnDlPUNg08hYh17a578Xzjlk76Etz5ZtO5l+B8DtyUgdWrrVXv9St55z3+htlpxRZXfsOcnbibhpzbl1EmQuUzvAs/a81KOXt4zz3DTiplWmftd3bM/JRsvwGSe1bjl6zEADz+35029qfsA4f3wvnwmFxwBloCTDY8pxegAPEAnzG+fxn7A8u0R5lBSf6mAHXuetl/h2bXG5Vagv8c+7zA6JZYSBkti6DsBUXqPPc7Q/9g6M+m/A9g9Qz9oSOOnzbhNd1ebWiRYAirDJFgyYSTqc9d9xnx4lA+Z3S064rPbf0aRLHgYAU0ZvYFAslifC9TUpREra+NUQKRWuKEh/ej4XvhGR/8Wv+27HESHviXkmbrh1yX2mcF3Rv6jrmvIjst/a4fM245JetzlB5Fjbfoqx0GW3m2vS/hNxeJUmuJ8jJEwQkTGeeGl23/Td3TCiAUFj60D77cSAJE7ib1lD2404NUL0zluyhtpzh9+yD/VlsB2hcYkKjwr85t79cSHcZF/cy3rC2jDevgYlkGh14jdVl6mR5bOxhJCGJqHYeP3khAZ9V5/JZzMCL0KC1D1/nK3KdgpqZRFcWm0DAPfhOgXpjFtn3pUXkEVMovxm23sDnJiYVD5/6jEXIBNPdnIizCYnxg1NvIAeM51/4safmueGc5y0mdrrEsdxrptLGA9S38h2Uyx/61TEi/spIucJZh083sfOPP0GWFUjjS47ezKx2B/cxrGW+Wv0rFy+ykT5vZZ0mH9/G4P5pxiXJPFwK3uBWbf3B6ozEs6lMdasstFO36dUNq1TEKN5mfCYMZestMA7y0qZgrERtbOijE5CMNmeBeZ7CQuD5I8mcU7iZcmGaHveqyO9h0Dk4BOxM2vPWXFTr6eIG+pXKK8IWtnFdrMqhuo+a8/LtcU24UBTnhsi5ImML2WfwPXfxYm8c3sulZRSUXkcJyj3ilt5CGKQsGjPNamwMEObTsIs5i1IBvE9Ej7OZ/JfzZ5zkt5f9dkH/X+nXdG23rt9QKzSZJ3zqhKifVddwUl033zaiXDSReY1ilRWM8j68VXCZuWZ9/pvupZVxcqZb5kEVCpryjbuv1tb8FUnXDj/HE22uNwPWFghKu2/L0hltCZP0MpSK7w8JGxk/+2RETYe1o+J9tcGNYK45Xikfu6+RB8t84ZpMlwqcLL2abXmZbadqv0yuby8FzbXjCRu0I6MB+CyrXab7EYdgYPLEU/0+yWIdUmyKsId+hx7ba0ICtTyd1XgiHo3kxIo8xS5o3aTrQzuT2IzMkWNVU5ewfMZqWpGSvqyfa78iHSTyX+pjOj7tvDfr90WE/7RqoNupShL/t5sS2Q7YpIozqfj7o1pmyzH5eCS9gtWZaPvgb0/tjy6C7ocJqcsOeRVL+sqGzke8O/KRRUWhUp7HK8qmcMmas9nVd7JZ9PzP9IJYoO/M5Lf2NjY2NjY2NjY2NjY2NjY2FjCs5w2ZsaKZ0uJ/TqBGiLVjjtOIcekbQCsSqfDivFsJP2GYNLrPpJ/3S+WEd7lsDIJRk0WOREW1TblsEAueQBFUn8WtQ+3FAcOlhle/4XjeOE4vnGL8B3KjaAkwLhaXZj1PyHz3pTj1mdrM/TiN0eYnZVTvwVzbtnrS6lYvpN8Md/1nvXz11jZ4VOVjWa5v1s9y7Y/ZlYWwPEFuVoU4GfqZthgOQsnpZ9KfVO/ObnsNjPefhZhSsqNaMbAzpJFoVGfgJFEBmX9SCZ3CHWPCMP6bD6b+PdPYbYcG7bUy29jpebOBglFzRhry4Cz2gZoXdmi2obb/OVmZUlFSQpKoN6Fs5RL6gC255fIUcbhr/fNYbDHfeI+Si4rq8Yo1eUZ06fqG6dI7c6eMXoydrU9VGPYb3ROeSFl5LxNl8t2el6ZuAK+z7Jcbaf1EsJlRZ4L3/iS4RioOZEuBPkx/DMuf8/PjANIl47vKa0+raop2/M+nK4jw5kBNEWVzl/zp/XfrEJN+m9Efei6ysbPUn+rbaPlvXnb3LvnVTbivhnFQAw9ezx+51nvTcdbv/toZbJyEs3myG1oNjSCtVFcPvvnMvekmj2na1bFJC3HzReHsuUzYwNr+9NtBqr+tg+BVsXEFciuq0OZrF0n1R2vbHiBtDb3IexFU+TwsS/IMUDtd4L6WeVKD64PAH/Pdr/NVxPlqonynozqFH0nrmzTT0S5XQhWXULbZkOiovpFuXPsWIVyy/i6fA3tSK8eNgQM5h7LbVr1rtWCjKd9qFf06Ot5JeDMqlwpEgXMU0V6/J4ltjhKWYCn/kegGppcOQp4IzyKICXFklQpIVJfOERejxs0EODl/zIHY5a8kR0D2vWrzSUC4Hgp4gYg8qafzDJbCpwrW481jlue54ZK/1Pux/0CRF6EQth8Ozk9OSstBrg6/bhlPP+c41/29180OyDInHd1TMeRzxw8vU0nGJahR9qhr6RIG6yxk8dkTD9/TTuv4/StJC1UORiIsLnvQtaAOgNOPFy2SSlfH1lnxESK6Cxpie82aLChUdz2t0AG9FZelZFFzksVpTMX46IDW1lzmAk/kMSQLufn8tkE5UQ5eoYdbEKmJASNLodD6CQxECXu88QNhUFp555I+BlHwBI6pQ6CuKnXlMQNHaeIGwAqVCqx5+P6fEERTwfZKp2c+MaJS+Wn+gPOo0YOJodLHTXktVSlhnlU8oa2kS23YbDlfy19d5Mm9biMmI/yp8zkGdP7tLPuz73c39EgXhE5Lf+XHSD/Fn+j2fZRSIitzyx5IXEcJ45b2suST6c8eE+MSMKcBp0XvhsZE5F0wLcbMKg6wE4WaXKm97xdslPkky5PnrclIKKcEgAaWUN9OAA14aLzvXE4MyATDAdJh5XTPxFy2+2/mbCJpPh835mwke+FPGbeeRdldydDCLGPkH0HbBsscSLtLNeDEz7XtldblLWpR8DbnI9ktzn3pO62b1E2TejKZcBbvSaJm7I/XzxEXndIPCf5a8Kk4ujfFyovIodb/i1Fhmi770gcUU8XJpt8E9bOpKFRxte3eWosSTMiaEZ9xcy+K7qusDW0L7tuRBQ8sSVcTi93jh6/qHpI8tf4yLY+WdlpnRRBJP1ZQhySFRErcXnefray1P8VD3xkO/bT2wP/PCFSVDUe++pmvDGF6B1KxjMJATXTpk+MPjY2NjY2NjY2NjY2NjY2NjY2PozniYiNxA9ixlUuMXhXar0cd4ESEsvjeHYW0EmKYzmSnAkhwo1klZeU9ddzympCaGobQIZKGXY9mJ3tJrJM5Jg6OfFZZ2e/Rb1p+eo/9dRXUWlUlc1x1OUQhWJEtpuY2dnZWv795Vj2JzOSofIjSSCWzcqVc7Rs2S+dfTkVS3k3SDbNKhZeVcIvBRqx2TMqm4hNl9v8yhdcP7u89ylmDm22+Ll7bJOs2WX9Cntb2smySMnwA/ksXVRunJhRl1eu+bnQKFWOYaRlsq4o4XGfWe8kIa7X/lFMfFeEx0mIw1mQifI69pzv2+muSaqX8jeM2oYmRPIQKW/PhdoG5VpSbUNlKrUNqNzvWscgVEoltuyHSdkQWFoOHK31JVzqbveM7TkrCC5eBvy4xLdeVDdRmOYt+pPj0OFTqo7ShslVBRHb/ddAHj8bAhP9HSVo5L/j2dCo/2nJn8Wz17abbTqfl9hvlOV5Z/ooXY+v9p7y/fvV1FV38Bxc34nL+QT3fSllVT2wnCuOlapZWw7//dVm7SO11ehZtzrC28DZ5x09Y/tsm4rljkKHudG0wuMhVlmTq0RFM+NTCpvObPgtlbuh2oVnxWXZNpRhpf+m2WI/mxwl2QR8Xzrff0dgtSQAXKXPtM+fZrTb93dB2VeQasbb8mbjI7WN2KZXBmTFPS1SItU3MGX3FECyDuVvv+Ir1Vuq1TK0Y9uMu94fqtwG7kOkvIhWfbLqm4v23/Tu17FB1eCo+yESuK8i+/5nw54iNU70u4dYATpXvkUWipONA7pKKVGHLKE5jL3xKgsZYtkbl+TjsTglQh4a9m4y4Bh64RPtN88tfDJXDxuqm4RGdZT9GaSyUv3OFDBUFoAnqRhmvoFZn//98KjDy3ELqrFs8v8SSnEfdzNGTaapHOo5R7+cT+VqR4/jc/kcSdygFleGBwA/AJPjRl2zv3QsHQfjcLY4d/xS8e9FXv8HUs7ZVpi6OdfNffzBcfzG/frGTH6WC8YIiRCqss0/qyehMqFDHBr6fuypXcGBjXFdDUrkhyEy5Dx/g43eb+Hc8b3QBMmc07e6UpQkbGwdSxnGaAUf+6rDZ+XeKnP7LXK9GBm3xTC8oDfgJ8OWhkZJp3I2Dh/oLo1nyvLtetIZ5W3kZWdN7pzl8uzA6B/IZ1OXLl+FlNOzQ03tJsnq6D5QGNWcPXeDURrYHvx90jFaNnsCx+9qu5MVAlXunTgEpdQhXlWqlPKrhb9KpxrVnuuwg0I4l1CpGvJDpMDxi+0RhePcImzmFrbcDFY4zKa01Q7myt9rjnsvBKa0UYc66XN7xI19/2NfgdvAsPZbDeKT944HWwOiKnGiJFEHoPXdakA5gCRuFAmgQno1YUN9d9mnw0nl86b+OyPu5uoXrM5n2paFJFD77Lk5ISKXS+cBtey/6dk2b0ysEiWfd++bVe3rDKzUSo+ufvq6uuy4317pv8cQtkyVszbY0jbU5wkD+cg1T0upJJE1r9bVMpEiL55/e6HtpvaYcFc/IKNvpr+6q/pmhn1JsuKrQfZdy/7qxqXGAdE7s5L7sVyUjw9turH7JbcN25BL9BW6Lg9JmyRcMiJm5PbMdjxFPLZYI2wA33+0v4NxwOg7ziaZ6RiyK7Ed9uRvZD9mfHLr9/BvTpPAIY8xOaS+y6Rca7M1wQ21793QKEtKeVzCTmmC6LNI3qcfzWeD5p//NdKGYNn0Rr7QQz++cN/fOFrsf70X1ElYsiNx8FWZQafN9fiNu6lYLoA6FEXE/KnDjufJiUs9/AyafPnI0ZcfAue6oW1/UJIV32p58Ps+cRyVsLlZqUNOTjwTpf+/pMMTzVbcVM/xS9hjwsvfcS4YLsozxZzL5gWZYJiICiKrzoOXzW4DGHEfrJOVMeoRHicdxgWZkK2USUxzvry3nTWO6+QHPJohroRYu+d3HQwKokE4fTPkXDxLopcivSvlqQ3NMwMal2dZb6voieHvJz3v/hKSshzdKUSFfKKj0OVYcigva67sd4ggOROpO9AvM3A9YRPg6QTBfD06Rs+Exp0gH0dbr+bA3snz5Dr8wY2vKXtuiRsq1w88dILitv/kdlPi+Vuee7BNoLoBpQ0Hzkbe0L1s9oDuG5jIkfen3BFj04xqo9jx76F98fcP9fqeoMnsudy3ipENtDNz2bHUJ41muiUa8Z7UvfUvQmVllTbd63eIrHqALi9TcNy+/86InKl6Be2OyLhUjWMGJmrywPSXXkVy4jhrbjfVV2sVVUTOZQOsHqk06r9zlQvg88/V+k8MsrLB7Pj+lDL0tWXS6vkBXh/Wlus6slL9ZNsSHpeQN2LCsiBWTkrFje03mg/Qsd1zfYmZVKVrTLTDQhI3XA5Nus59g1l+SDrb+ullG9mimDi0f+PGEmk/s8Q21zMmc3hbX8m4il7eLX/9fGDt/e81wmacG8uSGlRva+uYSGnld/y6HqEI0D3J7VhkR+YRXVOUdbNfbic21ydsGbltFL+bSkMTU7x7psxO/sylXDbAs3w2luyq48Z6D7MafJqq2tjY2NjY2NjY2NjY2NjY2Nj4AD6itJGzs2WDUNs0CTirXVrsfc1vIyWY9FvmtqEysrLLcfQbYmb0d70mSliUml34U2XFnRWlErVNKSfJ0h5IMpucX8zY3TfluqmqjePEff8G7j9qdoBWmbqPFzNwxy/cxx9kLO6KvJebdw54bMaMHD6emY0Z6fu+0GLdJVN/fLlQKJb49UPFqE3c3rHK5ulKUXK25oBXA/WeTVwfzzBrGWQ9hmY4SYVCKh81K70eTzqUKJYKQK5EJEOjLLv/HuuNgPU+YWNZfwSG+ZblL2NyJg7oq4k05PMYX1+vHDVTD2nPtR0uv0ltI9U0Qm0D1FlRoEjyzXKnA7VNOY7bKbfxTLG0PWX71RQnxZ7fd11Friu1F/lMzEx+lLvMKjBaXpumRqN7Y99rnlVu9xQnWshCprige5nMtso6X81ezn1/mdJirJIE4tm4/sxX1gaLqI/ifTzDzQqkecVNNmMcPetI0Wth71O0b/W+ZepZFTpXCpzuT2xfl9cvVtvIvlxu88dyKCPDr8LUVDapajifER+pwWyOPFbZRKs1yfscL4v7XGXT8Xvqfl8HxqxK1p7D9YhX5JP5a0D+hPW9D0Dltqnnj3LblMPOdv3IP7fd+n1zfaJ8OrL+UimZjRGk2obLeCkVae/bnvFbsvFAT3HSU4yENqa2+4W+YoS3PfOHRsqZp4pKQI+dwv3mGU1d06hi5XZbdlROpiDTv3u5scS4xoUO6ZAoLs9HBYzqEqdEsHbG+OdNgTKXlyu7B7IOke1v12kfrlcS9drZ6zd5R5RnJvLLgbV8Nv7+xSr198YbMyq8lRyWa6TNI9W9kCTeNw7c3IjjxHF/464x46WIszn6cknwkYzROvRS0g78VsQNXQ81xw01q3RvxtGX7Zb3tXVCE3luzLnUaZCzT/WREvvjIMfiu75ML1zUOd3fdRnRo+W+KVLqr+bU6fvSGQiIOs1i1imNjI4kacq+QtS0BLoHJRGlv/tS6k+TNfQ/O3y8LU86fLIcVRA2kbEeQd9LXR8tTSwkVyFBRYhSYjRnEBszEeYhvhR6Xrqs94xZa7MqjxzAFp8yefWR8TadXKkAumFYy86QHQTd4d8/g6t5xVGHV3bEnUnkDJVtgByMaeJGXFfkRWAHW+7vQzn+Byebt4MOnW+hOjM3y/uvSnKcxy9c13doz22yedvPRI6/7lukPT/F9/sNImayAXLrs6je6l5y/+eVun17noXJ9mC//dAmClLKniPrQzZZ9t+ybtHgd6b/yXOR6Xq8EL278wMO96zFdVzZkO/p1c6J+0jv+PuyT/YtZH/XvllxD0W4dM+c9CZV1LYBqRQO6tL3IU+ce5jwp3iSqb/sOf+dLxog++8oBJsRT3LwtrnJFo/oedsBKdlQ286ccH06KJfkLyezpp3gfrfZXoDJ9nqqsZ0RYaJ8dkHc0PnWP4/JgjifjiVuuEydZyYngs2kKvhevIMZomEl91fvvJGt/CRpk9WhV4+QPBPnR+fNEjWjsrL6jUKzIrIGYLtiyQtrz7O6RXbEkrAjwsaOCXR5QRhRMN6IJu4jZMSMHrtZ/1yPAXLiewxVjqrDJYzHD8Plz/RYb1tExrJ//nOkDXLyJGLY9YofKOz58YVDqkiOL8PkX8rRZ4Z+ZQUS7+Qr4qZuk8QN6uEXtKNP1zztrVrIc2Oz2PMO0cG12doLEPlvLnwBxwu4L1DsOuV7ue4LBxEIx4EDX3VFE+Fg3ID6gMRsbfziZS9j34nLZtrUx1fJJzU4Pk7g+Cr5aozzFCUYjgzeU7KG6m2dVnbwZP6aC3HS4UrYNPJMqoHmnT7fgQ86ikp2FQaYVhugXDqeYZ8u2ziXmkih55iv4CTL7pXJGHTWLkmXZb1H5Qzy2UB2Pn8DTKYA9f79g/lsZu25c/KT52avRzZ2xZ7Tfnk91V+LmVo9mLiqjeHZdeA3Lnzn9rzN7Pokk/Kb1QMCkUcGwqEVA5Hj+E/7duSqTqzE6Q+ACawU8PeGyoxyb9j6t3Mjhzlw0GIb9AfWnpeLSvL2d+sbXb3TWcb+bHF3MDEzWJqeuc378aw+RNaXd8evNpM959afmHtp++8DFyeqBtAcf8TvgC3H1lc65VH/HbWxtXVgy/PBiO6/Af3O+vPG6prydzyw6vbfkqxXg5t8RnqGsJnpv7PjPb7Cb3am/7aIyXXjJ6PaTyJurE0NcpRRu2ZzUOrvx/vnjjgM+gy5vf2N2A/v3xOhZAff32HOlE4fPKO08XnifF17uaQYf8tXkciJGPuupj7F5P3L7PXMcwr7nUmy35ad58Yaf9+ZHVkhTrJ3JSJyyndrxxuxYlDWcVQPXwf7O/bHJUYqm9F31181al7Zb8muuJzVb2shlw2AKJ+NHAPMkDfv0csbGxsbGxsbGxsbGxsbGxsbGz+CJaXNaA43kkXKWNYbZdWMu9L75bgLuA+hQtGZ5JVSZ6C2addMZmZJbQOghkqVPASNsW+hUjw7S2Vf+C7MqeS5bKwt+rN1MDMGagaX2ndoRcVXPUauPnUcFJYjpWpF9nsLFcQt2Ltb3bNs5mYmw7hf8q/AzBgSm2hDTo4Dh1qOW7PCs/Gf8UzUSAIZx/Nn7DXP2EGpbPg51JWaakhUq9viTF02S2fDynRID4coSbWLZdhHs3SqHhnLTOywlPNR+wI10QzimaQLOq6UlB5ZLpaovJl3OG7nrT9kvJfPxqgRJvAol81kGav5bABvz/PVpOielL+lnF4+DyuzH6ltqA7SppdtUGob2sa2lGdry+z62RSUBb+aPbeKGyS5EuS9KNtMCKyx563Oh52Fo3c6Uj9421Sgba7M81Ngv3EdJmsVD3pbNOM4yj1GStkbOL5wmOtFdlqqbKS9ts8+WsHwUuEVsdJCoq9iQKubra+cre/Wq+6TeXHaszehc1EYiFauif7yLlkrmnoHv0ArorV7hmJ3b7fMr34/GXFeIi+rp7+jd8TnD8rzEvnzn/bf2TsahTXrvppD+Sj/nFaM2jL6uQFtXSx6KhuN6J7bMsw9WOi/qXx7rFbbxPaTV2uS59J7AqFqYVW8UlsECotmu+FVGbF/HthCp6ZEGxtwQVR+rHqPwDbeK25W0MttKSH7ChtSGala9bnC5xuqcjL/PKt/PAbw3+fVvgu6tnvPgnc1txf5cxqpblae08qKVT2VjR0bRCoUe8+sHYnuRWrjnLIH0LlzXm1buZB/jtF4ypYZld3v//O8L3ztD4VG2fc3WXr7KeQ4Oy4L0Eqip21aBN27hHB5lIh45GjnOKvBpdCY2igVosSxrJGcShm4hLzpOfkqOXF7YNUJOF6VuLlQHPt6Pk4gcO5bearjyjuOMFa+yel1B3cf2kgcACC2tcHAQQ70BRxXIcXU075w3zduuudcoHf8JgaN9tq1Qm2fzj1SnvcpSIUZOXLbrvbx9lJXuW0m+dSYsGHDzA5fi3+/ObSLkyBTSFc/6bCst69X1PHCbJMGU4dmWeJkFTF5EiVJ5PeqhWGF78tPhUbR/f1QaJQlh+z3oQp4v6OISMyfQ68c4STQ/5P2XCeWvJAvAy5tNJrTr52tC5K4KcfGdfD9gLXpvO3GNzg3w6sMMqjcSqyWXCC/ai1qyBSFoKhQAL+cq67vgj03jjrMvaD/bbjBLQZJylFT5DgNTPkbuRsx/qVtJU7VhgjZvlKfX3y9A2Bi/be6vs3Fou25HhhERI3EiRPZ0txWmh450+EAQ4YciTCLrPzR9guijJS44aXoSyJred0TaO9Tf6CuSVHeZv/2pH/9m5L+G+Kv2FZRHwDjCYC4rr4/9Nt5WxweF/eJ+fK74/6bkudTnTlnXm+yqAfff2eD6pywseSYrM9s+e+C/eXo22HCRPrndJ4/PiZu6HxdHtvyKLcMETd0XI+4qSeIssd+YUTezJ6zAllOOPErYe0H6Dmfpr/V3zb/toNr9gecf35Lf+p0BJkmHLx/XppwBsdC7ZP3YAV/4/msjA1GhM0oj+UoVMhuk8QC/86W+O73G+9AERwCvdCoXt6eGbtlJ29beUA4lozKibGy6ImHtddjBG1dXlKcsZ7TpjqWU8SJcvLZ6Oo8NzUxMb30IjExJSUu1wR4Frf/YCRxI8vWxvA37vtPLYca9ypOv3kYN75A7uUtZi8PnKHzN9NxZOob/lN0cod1TpnEaU6DIHQOlY+kHNcubY25bOfMi6S8RW73gaPjzGkn3eZ7oX3WWel1AitEDaAdKOnUSsNI22mFiaJc4vxLpeAvUTYTNj1jPXpfM5Y7crR5RqYSJ5U44nLmV4uyzr0GM9BSZVMv6Njnp+1Vzm57NzPWW+JpxzToLCzD/g46HZNzntRO/x0Ni3qTCJqx59k2trM0EOEBiXL6FSFSjnuSbL4cK2w6yrX9iigvuBXpoO25IuMN8WLJG25jVDef4DKy5+Wy+rvT949A37lQ3LV7ywNXUqrK76YoWr/F8cLJMIOd7HlT+1vd5Cy9Pd7Y84hwl4SNJWtm7IUlbuSqHrE953tYjgfcoAOBcvbWz3u2jrRi1WV9gEBNUN65SxGK1H9HmLHlQE7W2BlFm0Ayyw/gJ036tj6rZ3ZM2TeXb6KXcLg8c1bahP13K1AOPvOkw+uEjScO3aRLqV0rp7Q/JrtG22T5YkvbHl1Xkusp6e2IG7LRpP666jdixh2ClO/2JXVMkPnnvfwWlkCK/G1JwI5WelX1MnlusmP6+x/4JIYckQo8eR9ZsUk2vdr+g9+3AvL5X3x77guKj3X11YNen7Q2V4vYb6X3fa98Uxazq0vNEjb2Ghn5HxEnadmBHSl10vfM18XYumRcou26rce67Y7LtyobcZ/U2LFf9iyi+x6qbEQbniCenOZyokkMQPeNc0jezbQctDHA7Hjj85TcxsbGxsbGxsbGxsbGxsbGxsbbWFTazM/mWlkkzYQqaSUuXk2qhSjJ1aT+gCXtNMtnV/JIpFlmJjhbUUpJC4FSj/tlWlrm+A6cKs9Nu46ZudRZ9ftsfySxp2vIdshYV6WqUeEKzLxT3Vzc6wGvxGmV4fZq5PeYkcXC2uNyufRIRl22P1PYlO15JniXvwZXuY5k5KvKpi1L/ubyoNGsMLPcf9Q+tVoU1aWpbTzD3qq8wnoH0ktihu0KTjFmng3PPnYOamW7UKyuokeW34nttooet0KVwAPVy5PVHf5mPpuW8wq3slVArnaJZO4scbfLgMt6co4bmRtBqTg6M7Nhe+wMbb0e2XTKY1HKLLmg7ht8r45fVWfwCwCtLnOWJcHfkNyHKwbK64j6q74R/r7b8Nh2mTrjqvbXWdVIDRXNovI+wti+j95Or6jxs4yksjkf2qcMLlwmWJrc9yessHqSy8KCnumJU+XgkWoG+e3Y3HVvavoAXP69aj7XF5pqE6y6tf13pBiVx+V9cv95PunDgbgft8oqWtb7vuVKUZR/Ts5qsip1lH9uvc/Uv+MVGAFru63SIbq/MyobrU4plm3Gph7Hqfxh65/r+lJb0HxerXy83LdE351Vakq1DdXD+eeiXTL9ANUrWlFKlRMobrjdz8N04n3z70tfAQUcqIrNqq4h0P2l/wFWKaiQqQOI/I+4b7CIlXSzuWpWVTUR3DsVHjNWRVlEx0f54zIVfnYeYMc53mb27GX0HUeKH94etbuXcqKPzDYVRApB0Y6mQvFYydsjy+N9XpGiywtCzz7gS9QLJZvXrt9TZeVlj8t4tOS3lULOECf8m++JTEzcDHglTJxUsxlmAEHHkJUvjxktG0sFUVJfdqi+al9yttdIJgRUjqnMjSCOnUmSNop7tYMcZXQSIqf8ean62I5ttORaWNeOISqYNfQxwfEkFjZz8uj/XnyqIklEwmGu8xdKot8SB091jpy++H7YunpJItXbSzKJSLxFfQ7IxMO2zNnyYxm3lCdeACW3ri/Wk+X28jrQPfehUWsJiP+diOLKAaQdw/sw5SgkAwBD3GRQRDh6y4CfkHlagGBAENjzkaxe2ilJ3JTfUMRN2feHy7xfLQE+JZwnIh5AWxJcOanCls+S8Fy/xJZzg8zx5h40sss779pJ9yGyupjIJozt7wp69lyGs77j9FzNLvplnpWNV/lMpJ2nZ+nzGqn+zwwcr6OESPX8jAjq2CBHRXuf3+iD2+VvHqiXcvU3Wq5Pz0HXQdd3Jv9M/33p2ZFPkDW9BQOIrG3JsmuibC57nH9OE5WnqoOuo/cj6Fg/+SHPt/dnbXlvVw957cGcqrYx0kZDECnRoJBJEp2jTG7nezUzCWDr48YGd5T8HuodT5cCh9ku24isjZ/HKFcX4Qr6gtJ+MQlApNnh70f2e8amjPz46N0s2/sEzXTb37B7EWaebUaO2H3aB5/pW58lL5fl6v1ZmGVGZnl7HfX1PVgb6/1zoJdXJiKpRuXpv+XYQyK75vpEsZ+UBmReyzks5LMR926unP79e5yIWDPZE3lmlAGmBlcCSMXWXq0zKB1E7Yjx2zj6NBB4vgIJ1emSHRKuVh9+uHf9J41oSfB4Hr/GnccbM7b2PHk9O4gqh3oiB9AvqlbnOH9yGuHgqku+5Abk6WwcwIZ6lTlndY3PX8MrM9V6iMSeZ0tEHLO+s8a6GWbDpiulT6lpUB8iiuLVJnqICRuCMTKkQhHElCdsxtDl9FU2YcLjIatO96GTfNh2CFbRI/LLaOXLbDvltXNnJL12QnyG1xd4J59Ns4tyoDfraAvipmwjm02DAllntul0rLXnoxniKJklt6P+FqsBurxlzU58g2kbSkhM1xddorDlskw7e7tky9EhckSb9H31jnhk20czOyOC/C3iJr3maEW/+F2zhE16vlEZyAS00n46W3n8xkGqBDeTr3HhasRNaVO/vhbH8aX78E7/vQJZn+x96Sl5PjGhkuFpMtD22/RN0aSLTTi8nn+O+/HZNvpvzfff+eDK3ttnhE00wCy/6XvisqLvi987mXiWfXOdjDYm36WCko/ld1G2JxvwOjW58c9bo4L2S3LS5bip59mxweg772FlZSpgnrRIjxXPTCU5h7mflmiTk7MPSJu2vbOSG2GljRnoGivkzRPSLSZF+O9okjcjbFYjCHz9Y8LGlh2TDd6mSNJEl98fk8yTzjmisrMyc0IxJorVtcREsb32M78lIYdsfhlzH/tIIlgyhCtUjfH+V7exsbGxsbGxsbGxsbGxsbGx8XE8yGnzglac9KX1dmZWKlgas14C8us2MVtwH4I5fqnZWT7WzFh1ZogV6y6ucTaZdJVdghhSMXNDeW6IRTt+gcKluP0cLtXYWDWTbm6lqt8z5Y2bRUhm70KJb2fFihlEz31VfcPHrCtr2u9E7hhJqTWrXiX0FP+uZs9/Qa/MxLN0NszgEyobzaoTC8x1b8x5oO7xoQgTapuA6Wa2ncOUwrwyCs/imK0UMsyd80OhUWEG9whvKA+4nPx3K+ap1i2YUQ+vG+SzUZcxs5Ez6kmWcNsZU6m2sYhl9lCzq3p2NpLd27w6uh2/qoICKMt5c96ydvfDvGWAXlUKypaH4aqB3H5lmdkuEhs/q75Jy05sxBM1xbCspJ00q3rCtyU6jo6JlnvunT8D7RNQ3w53/0ltMyovmzGWeRie5hxrdTZKs+Zb2fZg8A0/VNU8yQliMZNjwitQ9Qy0WyVqIv/cWf02bku++k1vdr4g7r9nQhiipdT1fo/wm0/fRdo+v+IqRMqAss2qbUxdAl9ctmE4NjB23PvnvD0qn9sUh2lF3a1UAkV16SELjZ25v7Juq/iydsde5/i1pFQZoaegeUeNSRjZ6/h5z6trRiuQ2TKiPmW0WlSmsslsyaiutmxvVyxkeVE+sk6ZA79R7VP+uVS8cB1kmSOFot9mwkjvaIWqrD2fyKF50YHd6+h7+sZS3x/Ao5w2oYFecPI5FEoSL3Zb6RSOJk//1o5+2aiIm1E9YrkWS0TRrq0TFAMizw29nDeRPMXZL0fRhxMsDW5fvMTxX3X6e45glAOC2/0Zxzy6vto+Kb+cQS/BsPpfyaiFURTSv7LtuxqJZ/lr2vYZkqQjq+7VicqQiRR521riYSfLTIymjLuksKF3koDpcscJiBmfCo0iw2zaD93GmJh68I1EneLty/oRLOWzYRI+Ir2niXBYe5NJ7PlvlePmqT03hBHXu7b4+AUKf43ylvUSzrfzrfT+FnWK8pQEzuWnEl9Sksqyv0/k9K/dH5h/YlAewT7L0UBDk9wvRM543OYvlAGf/A1E4aTyGuodat8tH2dzT/QQhoR86L7K96Bc14ealOMmBurquj/zHvQGXDP9OG8bLBjQcq75/vts4c3zYQy6DbP9d0bYJGEMD/tuvY3u793IisjXte0m/5faI4mbco4mY/S1ctutyhgQNwDbcTv5Komb3n1I91EKhPBbNPdngciJSPrItlnyY2Vs0jsmas/XT/kTpuwZZM8o2m77AO+j9smamRAwP1mqz10h/y1ZI7etEDYRQZ2NVXS9bFnRYijRcVyWq4shx7PQqDhEKc5Vl70vc7nb9DFxDs11DMkhOQYIiKk+8qW+7aInsiwAWE3F8LNf+sbGxsbGxsbGxsbGxsbGxsbGIzwIj4oTSkpGe3ZmFm1WVRNQ913mQpsEE6Rs+dZsvkhkqRKhzcpBqVWS/BISUV7lipITn9DJLL/KrHqT4J5VYv/LzDQjlPe3NrQ/eaZ2dpYrS3TpylHnjGcZhuUu8H3vzNg9CYXi/ZGU+gJoaVARElXCKuhl++VY5GiliXLeqsomY9O/68FC+dNeDrlcqWfYZ+piZxg0o85KlHJPRDJgpSzKFC5raGUqtluERv3gilGN9R5lcF9m9GMVzwjRUuYF9re4vnqWz5MQAzxruhLyKuFm9ltoFCnUjNqmSbyDmdyBPY8SSY4k9hT+eotzyJ7fhwgDbOX+Ad17Vt0Y5WSdkXb9XaC8KdeeTVo8nu1fCZVNyxkoKlZns2YVPivHjuy+nB2UYCXv7/C6PWWFDKmIwixW++YVvB12ECQ67pY3Gfa0JrW3+/ohUPL8qH+K+0u7KlgNJz6+XP99HL9NyMBCstBUATSaDa9q1TB8QocSP00AbkObnd8zGXKqcba2xf65f24j201lrapt+PondDfdUxUW1ZBW6lzqW8hUN7Kuqo0T6htpE+S1j0OHVPLxcWLoFXwiROknIX0CwkhlY1WVEVZVNdm23upRYZh54ps9UezJ8qlcO1YZJQOWtsSOAWT9XLnBN+PHTnoF2Xk/9olKMBl/DNpR0F+tdlrdP4FPqMzGhcyXsb56lOuQ6mZhmEcyQGvcXHgULtzHV1n+Wzj5krihY2Vn0bYFZfbqYp186kDY0ac8NxeoF1DhUq3QIsu+8MJRnUZy+tUy5fVeZSFT9SBT13lHceZYNZB4c0D8SSc2c9Z5v3HenYQa0Mboj9gnnDzwe0py6n7+GuC9VaK4Xrre9T1q2wVhQ8uV4oB1/FaII1lmfADtD/LKBCFKWT16ZeeZ1QeywUN/O7o8+d51QqOiTgM2d86HQqMUmBz62aW+Mynr4beloOfjHe0RCa4cbUXc8H4XJlUd6tGKUtEKgdEgoCexZzKeBvLCnt9kz2+UFUJkH/IHcpVAqk+zG6bd7j6ZAUM59vnAf9p5GPGRC4PzKL+BlbRHTjqQO9/uuKUwqdyptv13hJ49z8qIcie5607Yitn7PnvPZX3UtSf87CcEzQxW+295TNSPXzTBEjj5PDk103/P553IB3W9gZUhpWuZrjwzuFua9HGD3NnByIWoL/Pf7RkSNDrc1e7jfiPzxTPC3dXHhLsycUNlCmIpvG/cTnmuJbMtedMLOxoRORkx3yYLRR9gc2JZgirD8XBy7KdxJ+/fiLC5gu+r/B6TvL3r9vaPVo+imln8FGFjiWA5CdH7ti35q7fPkoEjYsH7zHGI0k+GRvkVnN4PjbLk0CWNFKKxjkb0HXZWvpL3cGo58bn2PVryO0ooOWuYJbSjLa6HXzju70bcAPWmC+JGlh3NLGgyZo5EsvVozo/Ic9PaKJQ3VB/gwoEv3Irx/y0IGnYgAD34cE6/HV+FZNRzY/5TeQtWMevkyb9HqhqeqSsx72WjV7A0dY1Q1pTtef4a+X/epqhTypYG5Rw2tJ0Im57yB1gj2yKHTxkyUUc54H8nntQSNrIcy6prouhnMKWyedQxRA57cGlBhPXLfFAHSw71rkflVSJF5pChhO/Wno8cS0A42k3tQNWSCUKpbHIMmBzP7HmUbH5E3NhbM7Tn5KjUfkaed9+U1BjNLhB5Q/Vpj1bc/hV7Hs3UziAacKza9lniwO7rLsXdFKl9Bz4+t3PdDmFE9nr2XY3+jnLZRHUaDubsbDrmVLTZfZfbR6TZJ55/D73B1tzgyPdHWV+ZzQADUd+U99+SZCU8IWyy/ltfOLqfa8pYXXZO2Og+/IZasKNuKuV4QkPWIbQ9TXWu90n/pt+GOEHw0+TEpUy+dlZmQUT66H6Nyut925ktskSQqnuiviECJyJveraffMN/A3mTETVA/q0D86qa+bxl/fKz6+V17JURf7Orvngv4XF4fOe9lETRDHESladtrJ9U1ROb3s62sqaVPXpMYO35nKpnvPCJLvepymbdB4/fP5HPhpBOEtPuftnvT61sbGxsbGxsbGxsbGxsbGxsbHwc66tH4VVVJvW3mI30kt1c3dKOcbGsXm0DgEOlqtqm1CVfUSqKbx3VR7VTyDx1uBSxghDhUq92UlHdHI0VL0ymia8WqhubK6HdEyOhtKTcJ1cq+VuYiVXNlDVym1WI2Fm5prARChaaoimzXfUeNfaY5dR0TMG7+WsI2cxhsFKUVNnUkIyeymZW9aP/tnGr+h5BhCjZ8KSCudCouB5SZWNUL5aBNjOlUR2oPb4cLsvVxYUqfTY0Srbt/WW+Tf3NTMh71+Yy9Iwoq21KOXPLgNP5TW1TKqP6iHBmqX3n33X/b2fPoxWlemobWZ9yTmbP/7T9ONi+y/siQ6ZkaKusDy0PblezmrHnkQrDHT+AD3V4D1E+BtpuEc2c9vIGPMmh1oNTULwhoyashGy5+oz67/at+VXb5P2dvf9P8Y7CZjbXnNwXX4f78lhJGyhKRP9M7fD5a8r+SB27lsMGiPpv6WPEeJ5/Tpcd3dt8papiG0W32kKW/Mx7XAe2gcdxCrUN7X85tU05VvjhVl2TKF1mQqWiMUW5njy3r1bojUuiuozsaGprJ9TxgF+F7hyGs1I//M8pbiKFjVfcCVVR95ufU+bNbI/rOlbrzF1vrLAB+u9x1L6oLrGqMCovW957Xe3SzcmFsR9pbZqsj2tj7xttHwod41dweqdPjxU9l3YKk9AoacPn8KB/XmzbeiLi+8Z93DjooTinvGybcfIVSaEa+1WJm7OVo3LckPMtctxECdF68a3DOh06CZpMUlzA8np+ceUAnPPcHKCPUnxot+3IT+X4R06/qnvwPWVEjm7fzxn8mRwGPYPad1T44yMjx9uyhLqvZhAaWeOIgGjJvMDRe0SOcB29DNEsN95e6q9mPCKD8W7iYd4nyBMRWkOScmuwrSxytuzREt9q2W3xvy9bYu0dVp3CrcvTBT3pGPid6yFd6vvtAaYhvtp1dVljIofeVd/xrnaY0qnlHDe+j7Ahcke17WVA9Fscp89VNjpwupUDbiYEuI6o9pzz3LTQAgMaCPFvQIYNHG2gI8l4vncje64GJ1P5SPwA7B1kz3mGIGDb7R1x6aD2kz+W0hj+fesRM+/mZBsNHOL7yw6mrVf0vGWdmQR9IVsyuJTwnDiaQT4wyJz9eLC11n8TPFGjj4tyoEXvQL//nnlPVpIOU448G+LbCyOIB1lriN/JhYGssmHaL6Z6cRnsz0rippwDWOKGEYVmletF79qIvIkIeE3c6Pb02q7K7dRFlj263gguVJeIf0PQr5I4va78XUJnNk9NtG01BGrmmrPISIH5Mvrj1PDv0XvXJWzysUFW9mh5b3uOb6cnjIZwxEmcx6aHKFePJVLmsBIa9U7y4dn2JZPFETlE+ED+zEXS5igDuzZLSY520OEL4qbUNTHM4czsBSZuvls5veTE3IH9NsQN1ckMJmbIJMXQl+vJmFtW3vDsYtkvk90W5Q2RN+U4dvJv6tih895Igscl2MwIscSY61mE9zJpz2LWiI6dev17SEAAILKmETWgDrIX+w48IWt6dbaMdjfHjkw6fJw4jl+wRuo9wsYexGoX7Xi+x3JHhE1IqMEkPHbqHmBsyLLkw8AwAbFNePwB2BmDdSWMba+p/51fd3oVqeGzlKsDCtXHpD1vxdhBqyBuynZU+83v343bEDdAZM9nkxMD7Pj7QakgbkB2Vtvz1nbxf7mOIXcOPtZ+o+W8IB9PYs+tUsc+VpsnoYcVW79y3aiMLEeJJ3C8PQ/rY+yOVfLK47gNObFD5fn6i4Tb6YRCTjD4uvj+m95f9Q4FOZCeYvU5x9fokzRAr4/u77PPXB4flx8nrbeTGJ4M0f33CmET9eHj/lv0m53BzSphk/ffucKGjtb2W9hZp0yZIebJHorzG3nuFTfONiYTqISR7Y4Q++az9jDqB+KJ3EdqwITwBxDadrI9Nonxy5E9seoxrsJ4Yjo9t3MfP03QZGV9UoX5Lim0Og5Q5QzsobUtkc/Rs3eMEXlB0DaFj+kkUnc2Nc9lM/oe+2MQCTn+eI/o5nLN+JDa2hkDWLLsRxD5MxNtfX43NjY2NjY2NjY2NjY2NjY2NjZ+DMs5bQ4ckFLLG2dR3ihlC+dzWV0GXC8ZK5YaxLdS29A1SW3Ds51/AJzA8Vsx31FeBCo7qxOBJZn6eqAZXyEnLYzpCdSlKilPAitu6C5+QebIIdWNzntTtpc6nHpmwkhEe7Pg77Dvq5hhWbNZttFMbMYM33gBMtSmKmyyvDCeIf6UwgawLHrZ90cxvmWfVtlIeXVPZTOqVz4brONWm9qF6lAu3mG550Kj4vpIlt9IBqdjSglPQqPoXelMa0+rewji/oazCFY2H4RGvQ1f7vpS3/F1rT2Xahugb89V2VJJeejHzjkQaJapLMWN+xYzxd6er6woVdofhKwcJ7R64wKHAcjjvhBLbeXMGG+Vs6mqT2vQSgw61ipOpfImktjPYnbm0qqEVq9vbSGrE7RdzJUDBdzH6b4wypsX2cRMjROrrQLFk2vPfL3Lu5uHPYfqqSDXzSxWZqWjpYlnr99T1tC256oawjg0wG6LVoiy587km8hUNlH/fQtbVXCGM9IrylhVp1S59Arvsb/A1bGzsi6strH3wCL2z0udhorfSdV7FirlUyfoc7k9YxVFL6TiE/5xN2+Hse1UnxX1TTvOtNOqcJ4oJi1GucvK72eqmk/nNLOYfZez/VPbArvSH9cANiQqq6u1e6uKPX3NuF8u8Cs4cSXG4+JR2aMxiK9jb8ntcR5N2z8PKur85Dh/Z4ZkqW+r6HHjnAhrtmd9yW/qBVplLuA+wo7CGuMRcQMI4yaIm3ZNXGly4jZIavX4g1s+aJtTAWJAMXgRY0mm6PykHJSImOag0aCVQ6Zw37jwR8mpyz2UeW04bIr/l+XrDzgaLMjzo07ukwjJmo6zFhmWPklTj7uZcKBjaKA6CoUCpKMHZPK7JcOUGGQpedQOn613TC7ZOq/Ua4boyoiTdxIPd42mfN6VYJsPE4qQhUbJNnJ5AGBDoz65xPhseJLOfSBhf086Nmmy4+Ae9p4f3S9BYujXg4l4YGzPVbGHJ5RVAnv6JhqJrcsme97yzwS2vJUj7pvNc+NCj2TzRfird6ozR+9l/tfXa38HdbJEjrXnksTpOfkjrDjw0eBo9trWWeOBvLeLUV4Q+i7u2s/JkIoeZgfqdpuc+Jgd9PVDcsnZvJAl0haVQfTJzkyuPB6QTZq63oArylVU4Ccq+nXNnGpPyI9IuizZsDxeYpwYVJJ0f9oxtv9uZeNQdYhyPjwlbBim/24nCD9z5vqtb4yJmxjluNg/L3XzoG1M9lvCKEosr+qIPuEWhWO8G0axOlG3XEZA0AC6z5H72295T277bjGhk6FHVg3rvJA0uDdg/wSR9KnnM/ueTH+3HYLLfreeOAF69jAnf2fq5stdQ2zXouTDPWIuG4P0fWaf03N9shiIxoz1YsjGAM/KmUVOTM2Wu07atFmvanBucGJilXMA2jBjbgUSPzNLN4Vy3JRVpQAU1Q2pBcKyeZtn/H1Ss1G9yrXiwQcgjK8isGimljpJ1P9vlNwr31RC/XcKBxCaxBEdn1XiyDapezmYpXDtzGIkJz74kLhx2y63vRu3HTCX0sk/jl+JOmSNrHkyCJKGQTpcEdlEDp9+f+gD/hUaqKc5bPQ2z6ZT8mGZeBiAMmCrBjMibNJnyIXosg1hFM209mE7jtttC7HUERoE5KN6R7sM+3o5n1sxql+OXElp3Z7L3+J9v7XjyisF1nfgrnnC7hdwiLJx4cYvtJWe8IUTv9TAPrLhVnljc5e42d5oUkQR8mKzmFBgvJK/5XmUA0YnF4+UlVQvN2ACYO28Lyd/70e2PCqjh14i18guRnm96Btk1ex6/iRZd73/C3ZWWKpv5gYv5juXdQeA4xR1j/N6WCLPKRhcOZ36dJ5hSFY8eF9sXxL1d3Rcl7DvYo6o0dsDou5twobbeN3fUP33/Q2vELULBvT8DYK3i1SmrWPYf7eDBu/IwBen688PTrgv8P65PM4++xcUcVMaqIgbdU1Tn9lB5uw3/NOY/nZHProdFN/RN0AX+x4/xwd5s2Z8+RliZvW5/MSE8hMM/d3k3fTjgyeEzWgM8JxU4D5Y++cKNDYRdq3tGvQtM9s1LvTGADOYI8AGSMuNxh25yuZv4N/xhWxsbGxsbGxsbGxsbGxsbGxsKCyvHnXgwN3ky5Wxv1811wzNOmmGH2BGeXlFKVGOVNuUYi5RDs1YlTkRnp0V9VAyTbpuXH56B4LZCpvrRsXGNyZRMJy4quRR6qRJRUK5b0TIym0ZyBo/b9Q3pf1aeWNx3/k95/r2kTOofaY9juOMWV85s6VXaShhUKMlNsvx8dJ47yhs3IwrmEHn/XV2jBRhTVV1K7Y8CuOiOr2vsplbXUtJBNW9fA43eykVL0opZcuufw7L76waNfH+vLvkXqzoGSFu63rZovwoNGppVSw6lpUObbZAqB+g7CwVk+eQ0dCztO0VBNvOKG8Z57mhvuVb2fPr1goVa4dlHbm1kQpDqFiEepL363OVMsfNNMpf8Qo4/O58g1U1aDbAK4NO2Pw38v+4DI2u6ibZ99QGZGoMDX6vDnwVtYKxQU+WFrWQKyVFapu1a8n3qygHirLGfmtxna0a2O1fkK6PntkozG32fYhUKGu5VoxiwKg3bd0i2X10vdnwo17YAv9t89fk/XcpLF7l0bajr7KJ0e2/gWRGXF5bJo7JfXGIMFC7DHgO8c12/PNMbaPaqMKz1n3wCFYJv4qVkJm1MtZtc+Sjt/rd/W1t34oa41Edo3NW7/18HX/u+ayXEWE0PgDsfc4VNlSXLBx0Dpka0qebUEjGAEshQ+49SNT+ALL2RGOi6fKNzYwV9z8TGhXm0Ex98vVxKPAop83JMnYQSRItA86dBdU/ch6miJtSkLiO/ltvkyQSdbrUQfgltq3EPpNqZnW0sBJ7GTIlOz7gVQc9ENsuwMhwNYlDRppIHO/4NzKnnDwlG5bnj7Aiu89DZgAr97XyYxle0nLVpCE0PaepP+AZYcaJXSVJSh00YRM5r/MhSXbbIA+QJU0UkdR3rPt1ePk63dqA9cOGsnKkRDEbeD3oqN8ZFEaD8ak2zsCTUHTdx+i2lR1oHKcmbtq5finZRlwY4tjnSjDETWmMIm7KPknciIKcPf+lifh6vSjZvA2XSm9Pdk7EifEFzU6xS+XkSb4JJZ0GKKcZ1YeS8Y4SGcv6q2ImHOtc2px996NvZvQd8uICOP5T+3iGtId2OWcZKjYzKHlC0siBaLlGfebyXcNv+P47JiVi5IPV6DiJ/oAkJgrWQqN8fze9RKxESMLHyYTzuvXf8W6/1Ll3llgMk3O2kCgIwuZQ5OIzwsZ/f8M8fsAEYSO2B33TyjLgfRRbHvnnOXHD91z2Gba/0MS56S8msUJmP7l+r4wZ4mg+ZMSe58uP7ccbPk1SdinrGREiMbrX0f5PPp+n9coQhx4R9BhhXJ/PEjatvJ7tlgjtSTwu6SEinkd4Z9L47dCozI6uhEU9LvMZlpU2qE4NqWru4yh5beRMEk5F3ADsUPvOolOaYE11DLq+ZnGqGksC3Dfu+7vdHIo1H+e5EYORgaNj61nOzWdrfUJJMVACwE4gdXy0TyoGRP6bu15YMHjk+KMdJ+/V2a5WELyUj8eEESlD8APQiI20A11e/UkbrZ4qZaSqiX5niA2ydvp67LXMd3DgqPX8CgiSZ4SNqtvAqZYrRVF9mgOqiKT3CBtGUDbMBxEQRnF5+QAoGgz38h+pchVWjKh5L4YfTeBUPy7blw8AEUE0m+OGbZ10oA3uSxE35Tw/sNeEB11HPl9jUwVxU86XxE295vFSxA2Aprqxs8eSuInaOXs/4vbQtuhYet/1vrsNlnggw/1OtMqAJ+blqoFQJI4e1EyrJyZJG2rPiPTv3Vfbf7cBmxqoB+c5W9B/dnZAuO5cjnAycdPKOcO6E+buU/9ZzDn7nTIDm7rynsxMALBTlU0A5ApSXbe5AdvqAOvRpAsRNpL0o8mjNvGjCZu5QdbgeWcDq/SZJX2mJd7dPXsp/5ev8Yy4AdDITiZuuCyptmkTo4LsL+WX61qyZnYCNcI7yonVMux4gX/rPsKOLUZqsBADl+NTJMQqwu819ety+/jJ5/ZT70BO2Pgxgj9G+sre117t/xi6rGGuMTUpx+iNS2aQjp3uy/nLo9WiuD7jcmxZgBlrNsyuVJsjH3uQL9cuivfHHJ86c2NjY2NjY2NjY2NjY2NjY2Pjx/Bg9SiA1DYA6kzL1dQ2AM2WktpG8kKC4QerT0azdaWYS6ltWtFGJs+rWcmVHcrBozw3arspW/6eqqua3dL7AW4LM7E008F5b0rVpfJGspRafVOaQmFUBKPCaRWVahy44/tI2Hg3SyhmkdtGk18EEExkxLpaqVxvZqvPms6wqCO5Y1cuLuPf67HcRqkakvWOl9FbqWvKphumWdeHFHNcH8bqalF2W8Byi5cvDsuaQSePjShTHcPTiHWLKO/RDIyYvbTbw9w5orgp5Ytn79uf8tsX6jSPoF3dttY8YXJm8IBvo1DbUBWc7R3a81xtQ7+l2gZge4771Wa+OceNzK0GpbZp1X6gnLTHjcNL5D5p77TiphxTVDesqqS603dCbTxcnyVDfF3flIW9hrP7g3DVBqvU/FL9L7WR93uMlDp9rNtEVvOMMSudJyWafK/W2jFXhyznWxa+xLB94BdVsl2vV99sNrj9bfq2cCZRhftyHay6Zra/tnhHYcO//Sw49+HVH6IZU6WykStF0beo++6RkiCrXxiaNVLZBH5E3YE0R5myQcI3FSrBp2obao8PLbSqG94uv1OfX0fb1Ce2+9OQ73BkXzKFZqS4icY0MXo+j4R915PDljBnzzMl9JNvvjsONOeuL1/9GcTKPcDaFiCz54Bbkak7Bniusonrbrabcpw6crL8PI9NrVugsvF4mk8zyx84g77Kx5ah8aC8D6hHl0kbZ0RREhMTcQOgGeAbp3JMS+X0cpgybKjXACpXGjnl5Mtr3ldbDrzVB/c4z00dREQJA1v5Ezd4POCl4/ij4I6MjTsjyn+TEDmiAE/otBoGtSrPZg7By5oMJNUA1uanARKjAfTi3yMJ8hOSRlc/MsaZ3HAxf40gbFSowyJhE8nn40GYDr1ohI0gL95Z3ltjYDDDECWJXtvJeM7lsYnC7ixZEoVkPcFs8mFduH9v1xA4i2+ERqlzrJMpJPaNjFIkvE9OLO25Dh3K2n01m1vKiZITX4WgOWTI6NUmBThk9ALwuxE33C5LqgiiY5G8kcj6LB8+pfusKGSKyazMsZF2yNzzVlhe/yiMsRvy0sB2gvpLej623fa8dzEKjbGLGtD+VcctC0mKJ2A8ifcc8TWG/Ys6j/qP8l1KH6ucj9aW3iAnfz8Sguiw/XceCpWFC81M1K3iyaTLff9BONFgk0cev1Qbc8Imq3s8qAufN+Bt76Scn79PYcddHdiGtPe8hitp4nn+OeT+ef6ey7KzfsNPgP49AicbsI6Wk+/7cOI6beJbX4fvW+b/5KReNlkaIpjMYt/Bvj/54PbTPvoMUdDGTT9M3vTeX8YKYaPxdNJWw5PR/Ltjz8WzfWcMEOXkmsEoPcPcWCj4Nob95QdDozoT1G1CwzlnI36g/878rNXb2NjY2NjY2NjY2NjY2NjY2HiEB+FRXwiVLVVtA6AobmrYVJy4UidlVNLDjppFsvm8ka7LrDRJz9VKTiY5Me5b1Kltqte7wCtL8b5Pyez5tz3GzzjoJcMJculwQmXm76vNupZJ54hxNIWra8asfHf2/uDZ/kNJ68w5AWv/VFnjz38289JT2FiZoQqHqseVFUp0kl9S2fA7+d6y3raewEBlU+tUNwo1Rqb8Ga12ktVlzHL7lZROWIYdsO3v18cx0VIpECa2Fu1+hHxmK094jMUykxkd+z2KMCyNJ/w71Y1VH26mFqhqytpGqcQRaptaNaW2oevlkntWb5QLaLVNOR+48UvZc1alnKI+qLPma8pJ+XsFs8erPghoM9E6IW+1K86eW8gy6dtb+3Z/AjOzqtm2dyDDK4DnCpiZVcVG29JrB3WicCsbKvHPw9rz+u222WC5vYD6DztjHMn73+2rM+QKG913Tyllhcok6r+tfzIXxtBX2bj6mlCCaKbW+k0S0n72FF1WhZit6pRD+6XWP9eqkbgOsuys38hVjf66n3qvVsMfM/VNvz7S12db5tRFTn0vfD7od+cAqo8illk/Jn36h/65P3b+m383zPSTipsZG5yFqlqVy+h643EOsJKuYjxWyZAv7/2R5MOAs2fl2ll6hAdKn8d9Z16+xgdCoz7oDz3MaWOIB0ncAJWsqeFSRy7JlDluVogbdVyV6/KD+4IlY3AfLs/NUV8juVQ5d1JfxHiIcnOn/4nMPmpjlBthzogTXuZekKOljXh8rjx+EWH75wbkmYHInKFPDAZGTp40wJKgkE5e2V9i3/WAPc9fI+u6skpULrv0oQ6NsJHkBRE0oaRdY06SiLDscGWRclFk0sRx+7O47oeGesrJ7uOvhEZF5JDBcFnxiXcrkmI3p7/ZT/n+iVCpUglHzEt7rp3SnLihurRbK4iW0J5Dh2PK1QqjPDdUv9aOJGRKbnuC/Fx9Pw5J9B68GlFOiErENnSmTpZEAmjABIyIomyAHh/n67XkBC583387v8HSQMPl+JDfnBn0Nl+m/m7fE4eZ62efD670tkEVnQ3Q74dHb8XD3LZ/akCdE2GEBZLEDSj8pIJ879fyTuSDOl0XHtyUY4L+xdUH8AOcA0TA64nBqC/ReWRUqNQU4U7Qvqjyi8m2DIiWtg9X0m9wWSOfezYc5ZPIiNfQTlieRNkCOy4wpDS9O+odDNp86L5j3qfPbcfqKlBPCZrZd+UpnlzTnxOPH2b6oaf31SMnh2LCJu7bM1vyfi4bHidJ9AnoifKCMQgjGIPIctT4p/75DjkUkv0QnefnQ6OAR0t+A+HM7MGOvHRAG8l7+BwI5Ybp5MSllLn8MYrZd6oYQbIQqWTz3NyvlvCxXE+fq+Lb5aABZobigcPvCZs4eTEfq507T+Sw4eeOuPOCm3dpxZj12zgeUPSXQ/08SUN4StbwPq9i+an8Nba+PkbWx6pKwqYNZiVhI5zMVSc/J2wsm24Io9RlyMpaUA4oJ9e0W6hsnitsgFxlY96BgED5J1Q2T/PZSNJb51oB209RtiVLavUUcVNOtbOJGXEDcM4UoaY0NlnWR9aj/GDiprRL18WS8FTn/F7wthGyRIn54ELuixSW/rysT1whEdqMujrHO16MuSVJoxnVleXBCXLAp7YnjnJ2/gxmJoaiuozO1xVSF/K7LYmmfCHZ71sHNe9nH81eu7rlPliPuBjNrEf1mxnszBI1cns+86xJklIn6YDG/fcnCJvhJJBBpEqlOul62H3yfbHkB9VPnusnUMd2W4LLkCSGTbQb2Vdt9wTh4wgaTW7Ia85i1rZLAinCE79U9WvqRH8NSeS0c5tdJVztfN2ux3Pxqg6MfltX+6TVMdKI6OvhHeInPtcTwlE9Riqw/jhgnbDJl/eOyRoN05csEjbxBLI8Liehddv7Kpu8Dxg9457PKfGmyibNHfW5MSywc9psbGxsbGxsbGxsbGxsbGxs/CvxxupRuZyeQqWkdI9Cpax8Xalt6PrBzOOoPj6OVk580zUv4BYSqRoudTSpPUS4lF5anNhsnmXkNvh7s86kWVlgxL762QWtvqFzw2susLcrdXX7lhn2iZm5N1jJXF0DzMWDGiVJDYcCyizYcfwaqlg+q7LJctjU9ij1T61PKPf29Zupiy072NFXu4T1IFimO1qaGMikl4rRj8KGhrOjY1jpZaZ8iaSY02UPZK1TapqH9odse7QMuFbbCFUlHXfUY5MVArXNymyBzoMgQ0Z02FM9NpCseuXPCy3ktR1H7dblR/bzkZJySXkT5zaYLXu5r0lmcLmus+qKUveeyuZpPzijpOnJ1rPzvfz+dPtHfsdKm6zqAJA+ivExyOewPkWgdIj62Xf6yXAy1CqOEkVsb9b9nZwVY3UNkIVC8ZAuD3kAABZYSURBVDbfX9q+I1pRsLTDL1veUwWP6mTr082n0+0v837b+udsx7W/SOX1VO+x3e612/ikVjUJfvdHsKFSXEfffzxV3fhr53X4BHrKs54CKA8xk9+d3ffhOi6oad6yQwvIVDZP70F+Xl9FM1oCXm1fiDLo1WNkW3IFirXVn1gtKqjnvZ7HZg2BAubOQqN6Nn4OeWiU2Z7m0JyweZPv7SMdXSSnb8QNIBz8UxkTSdyU6wBWHtwS/grihsqcqY+V1fMxgCOWKFyKwjkoUfF9o5vrhtoj2kd19/eHt80i7EAmiBx/rid15PWe1s+if+6aYf+Ewe87e9rgdJfHMw5VeeaHqGMe/y7bsrqc31jeTXgargVXxzkEEkgl7RaJh8vF4UOzaFev3CyPDRATJvwNW0Ppy15pLxN2DsK4DHPLzJRhLz8TGvU0yXKnc5BO/5wjyHaSluA+Du5W7kqijJcCJzBxQ+f7XB+lz7FhtVEeoKivKRvoHNl2fbYPUc2d/KGc3u5LH1dvoNI/x5U5ITOO+ov+QCX+jiPp90oIQdQfdWXxA3s+c03bf/dCgrK6P2mPzPUhn7NfSn30PNb70JzMSk9x5fTInNVBbjTgmSXm5P74uU/kdRiQNUD2Pj8hbGS9v7uDDFdNUS9fl7pN7JP+uSZuuI66PkFS7NBu0/lrxA3Xsb/8vKqTsam+/5Bl8jEWKz6XPV6FdgXljK49OyE2MxE6IphmypvBJ0KbZo6fGaTG4TbvkzVzxw5s08JENzAaB/Tua04axbYlq5e1Y+Pk0hZjO3uF/uVsLptxf5qT8MMJ1G45+YQxo/O8tUpEFDTfxqly8JFExMXBd8nPBHFTjtfEDR134AKUw+KJGypndvZLOvq8je5pvZ5Q3lB29UMob3yuG2IuxQs/ob6hur0zG5CdM7onEakzrkP/g1/BTDs/xcqPDRc7U0NVDYAwoS8OtETDQEqGPCVrZL2nlT+2jlSnQR1n6xQZywJPajkGdok0YeXeuFI+4XG6StUHEeXO0TAEylLHjJB0sPgJlY07PZytRbPpAJoaEXWVQNrGxA1d7csRN1TGiLiRdRnmLQMSIqSUUWylPt+dE3FitT7Wfkf2fGVmdm322Qym7LUm+0W5Lb5Wf/DTu177+4MOv0Vk0/v23J5vHNaw/x4PkGbgBsB2vyBu6DhHBGYh8ovPW9Yj3z9/vZVZ9wyjHBC9/ju6jt4e5VcQfwf9kXwv+v332G+yfbge3HzXg3z/HU9yxCtPZojeq1A52erL29hGfvG5od2m80Zkon/n5Pc2lcsoIG7sNfvqzf4APfOro312tbresbP4lP/7SUVQt5wP1beHTxI1K0ROQZ+oGdXHYi6v2zphE9uWxN6JMjJb8vz98WOnUj8zqQmgpxrU2zT6k/AWiS0QZWuM89i4srpk+3ry4bCMDv7Ol76xsbGxsbGxsbGxsbGxsbGxsYT30ozDzso+WFGqzs5CqFSs2gZgtn9WvSEZ/XoBaLl7MHsswqVIcVPqXtlCdQ2aaeiHTFGbqF50nKzrU6zL32fweR7vJ9j5MfvqGeo+O21kdmYpb6VgGcyCvbNqSik/q6eVAmrVR7+OcPWcrc/s8t6zq0VFqp9xPVhh5I4JVS9U2IzKJ4JVNCWXb+qe1Xc8Z9b1iki33ybURK0Oswilq16yHkvs0WxdU1EecqaY7fmNb1FVrbYpzXq+opTOW8YKLa8WiGepSrn0TqsboRHmvcntueyvyuXWVDd2lRV5bbktvc5ov+kPR9cazf6s2vV0Bntgy2NJdnZOVTOo89kuaeVv1IbLbe+Fave2rWD2eS89Ywh1QEdRMHPdtD4fVNiM+u/++YPZ0Yaob+7PPD9V2dg+VL6XSmUTKlP9zHh2/53tFtukf67DXaXahtpgFYk9uw1zfmbD835lVnGTKVyib7dfn+DaUX+YqOSkorJtG0QCvKvEicr/3wHZ95kp6Z6cu4b5a/4dlU3e7ti2ZLbT2rHnKptsBVt9kPw2hJMRKl1Wc9mM1P4e66kZNKLxoTmALhoUvt5/z4TKvk3aUEWknH6UnLgNRGoHYZNZZtJ3m7BrJBNWx3bCpbhTuEDhUr1cN+VgCumSgw4vuS514TJ7dRy1aRZPnemfLOMTWCFqxmFG4hxDQJTnR7lrxMCYSBFDOmThAatkDdXXGkVJ2DzLsVPqOVuvnLCxRIb4RlR4kr9ncdn9ONJsgOZk5a2s50nAGKIs975pkszCd1ISgzpEZfWun+GpTNuE6wDWef3SNlmFv9bnVkOlpD3nUCkeAFB5mrghxPVX700Q2hSFFGchHxF5Ex5vyHiuiz8+CpmKBhs99J7BKkZlzsSuPyk7SiAKrJEaue32x4XLKAf2vNluce1oSfiIUKJn2Rug9dq04vhPkScL9iw69qffray89tv2eYGdH5M0hCxZvYXtDwlx/z13b+L3s0fYhOHEXR8jJmxmv2+dOylKTpy3pWe3fZ3s9Qh94sbWdQV9QmSOtOtd1147JGjNpHJ03riuGn8r1OnTeGf57Yyk7537jKSZP+fRuCh4du+ERPXHB0AWCtwjp7PxSg8ryd3d5K0sb4HIGE4cO9C22RCl2SW+Tb3+wdAo4EOkDWANcT85MeVAOG5N3JRtlyJubHxtuVSf3ZZ1IljHW6pm7KokLtdN+1AufgGJwJFtFOob5RgNZmzje+jb8FP4tzL4c4Z6xXEyH7xw7n2H6xUrvO99ZY2s72xyr4hYykiSiBxZI5FGq25oAiNfKQqTZWfGkp8VoAmbbtmm/KcYEjQfVNnMJx8O6jGDbIYKhpQws7dqdrQROWCbLgxoZM9ljpt8VSmCdf5zp9/PKNMRrPhsbRzYEkvglP111SnAlEP3y5f9SfXN6iBmpow5B8lfY6UuvdwPq9eQ5yriuIfjdPn0soToMfSqOpK4AfwAbRY/8TypjmF5SR1/6t1y5S+oaqJBW4+gya5rEd+bWWWNhN028jtk/+mTDsv+u59/rk/YTM/6R6Syum/Zcy02sB0bku4EHjSt1oeuKTFLeq+pWWbfe088UxnhNmPjMz9+ZtL506tW/TSekDUzRHZO7kZ4Zs9cHSbsuvOPHvS3Hvk9ysYHOXJbtjyh3yOQkv44zum4NiaZemeMTaVydGVO5IR9jmhiPzjID+pbmWbTim0avIP/61iGjY2NjY2NjY2NjY2NjY2Njf+DsKi06eSOgGWTxytK4biU2qaUcAZqG7RrRDNes/HYTpJpZn/tUrKt6Jtm6OSMUFXduJCpwj5yu1+4qwS3zQioGUDdvvhexu353wVr0vKYfY/CoPT5Vl1TtulZGqtYASKFTU9e+FRlYxl0xWIHiqBc2fJDKht5HO6mAhkv752Vm8ez5oy6qUMP5vnNQZRrmfZSsQehURPlD95xd/3omiuzCKN7h0xtA8R5y+p1j1dqz0uOG873xTY2W5mEQN9lrrYRleZrK7zC9z+f+Zfl2HN0WWVjqbPuY2K7MDtD91QJ8RQjVdITdcY7bVibZSXo3EuH2M6IFZO9erjZ9QVx27vI3pF/qv/vqQDml+8OVFQTs8mjd6B/T+Lw4LW8E+PZcPI9ZvvvA1+qr+qFRT1RX1g1YqkjwEr4vu/FCsQvta2X52lW9TBjc1YwOxaYQ9SGSYWddAU6oaLdcCrb3/3L5td7tv3nlTU/0zeuqCefqh8Zc+qkkV2cVxl+uTq9v7w37RzdNz8e6ZbbVVhG4ziNuTw2s6FR4h7I0NZyUXHcemjUE7Uu8CA8asYw6hjafnJiSdwAQFlu+0sRN3xdJm7K+brjoHJ69VLtaOSRbB89C3HdVmfZwYqQqXYBGrgKYqoNONhJlHHGUa4Eqseo/qM2/tsweknj/bMkDZAlzC3H+7AagMmaKGlWZvTeJWra7yBONK27SYwckyQ/lHQY8GSXi/nLCZu+wew55nwP9DYRFtXq8INLfKvfkjADlGF+Is9W76fcnoVGSSf+3dCoW/ylCWX5dxaCJG06UMgbSdxQlS0R37YL4qY0eZRcUmPOnlM/JDEXPhVvJ9utQ6esPc/ymMm6/xQx0wsr+OzA5rnj8ezaycDukMd/tcmXGPpdiMJbdVlRaODPtPlTz6U7EP/AO7cyYHP2vG57ZzBiMQqBsset99992xDmVQp8jxYSVQoVhI3tJ+cGWCsJUWMC3vqc8WBbh45+OeJGH/cMIwJpFmuhUqt4QOREXfREWgTazqck/v4PkzlP89Rkvm73mAn//6fwKZv+ifcun9AFvH/eq8McUR3WISl7KmwIUHaNy/d9bx/9yeNWh4ZnOWXisgQ6BFEcjmU2fTA0KihxY2NjY2NjY2NjY2NjY2NjY+PfgEeJiNfVNkBvRSlS2wBlVuK4XyW5ZbBaU7SqVPlvjfGXs2bRUrLlGDqaZiouXuWqzZLwzH+51t3qXup1QYZN8b2pCd7UNqm88TMG2aytbc8M/snZ1lnZY1+ZQgjCiQC4JFUinIfb7kOLgD5Tvbo6lG3Lk6TDsu6xsmVc71G9utuC+vC16b7E4TvPVDb2uU/eCyBU+sxBM93RstuAVdmIbSFWv7FISTChpnkjNMrayyj8YSyxbwcqtU07UK4oJRQobvWeUgFVziyi8FOqk2xrgX8Hc/vZ+z68PZeqD0pWrBVK/TZEeGrTM8XNk1nFcULCDHbf036nM7Mo7B/Xc8IHmKrL1a61dt/W2q3e38H3uFqXbLb8E77C+F0YJRlO+u8QPYVMrqxpv4P7uGpn8rb0V3osviz3HVJl8ySMYbSymkWeXN765z21DSATE8vvLQ+VmseM8vGn8LS8KA/prVyH4J64kNu1xMMzCpxPY16J+llVzZPn8k9EG7xb5vpYZ1SHZ6vOjcouGKhCQpVNr66i7NF4JFSm99Uuc6FRFmuqr9XVavtq2L6z+Hj1qBkDrTuBZEUpANFKTceN5uwDWM5zM6pbVEcrr7ehWVAd3xXWHbSCSr3xjsABapvYoS9lMYmTyv4DIkfeh14b/fE/a+zXHPncaPl9keGyThJt0ysMuVCoMKwIGMWTvxsOxfsWltN+o+6z9RutsKXqg2DVpK6x7i/vHVcwLrte3B//IcJGbU/z2BiyajU0Sjn/a6FRy2Fgg299lbgp1eEcN4rIacQNsfAvT9yUCzoSXkrunwwAIuLFEvK23ZbA8QOHSsy3jcbugOw5/WbitJV587Ga9NJ1f9cmZxL7yIlecd6yMqLQl15douNcvR48b7VtMu/EmpP9Hulhr3EEdkq+7y4cC/59zvAuQfPk3Ow9yGX+cT/jENynngOevQ9u28MBVo+wGU26lIK/3CTRJwmbES/cX1pb+uf5d8+hUkzc0DVt/pZ3w6XktVbPW8Hnv42sr8nvj50UUcclpPvfIidSwmaSZFmbCHkfT32Hv/GuRRgTNuOw0RGBDTzt82dClGQhs/5/UHZKEgFpqgSbLkCMizzGeWz+7aFRwKNExBzLD3iH30Ib3yA5MVAdfXaAiyNfBkxZgmK+vnGATY4EWYdRHVt7klw3VF5B/chNwuL7uBt5w3UoscxyaVxN4BBkvgTCiMjR50aQHcbPY8XBq9sGBI3e51/wbGAfqmqMIzirqpHbZxAZYts26+jJtqiBpyRsjFH6DGGzlgtIzxj2lEoZPGETlZ2BSYuIxHhzxqPj+tol1vvw32cf0cD6p1Q2V9til3SNnHCuz0py4vr+HF+ivD4Jb5cDL9uekzfqfOv4ho41/SXbExA3MO9Jtdc6lxnb8lsMxqwCR9fzb9loYObVAmaccOtg9ux5UpVh3zZ6/s/tdMF7fVZ2TFYn2UbNPeuFFXwfkJMyo3r83CRNRiBoUkMfY/sXjbFqc52oyY6dQd4uoJd0WBSMmfxz2SSRLdvX66WOGSZJrXbc2x/rn8ffviVuqO5W2fdJ8iarT3TckzJmvo8VVcuMj85lGttg+6Vksjbr2z6BJ+Rvj8TPzn2iFHo/CfD4vJ9617LrT33bQ8Imt4urZH9qt4HYP0/HVf168bUlkryasP1F5P/z9qw8W46vR0YQeUST6CN0vyHbdwT4i17ixsbGxsbGxsbGxsbGxsbGxsYsHq4eBayobQDJZkvWTcwwmjw3x4Eyu9/Y5JIr5hBSc5nnRi5J2K71gPH3M6K0g9oqjwX0KlNnVdnIkKlaX9GWtuKUkQn5VafKsZn6xrYpm6XkMn9WUjmUUXdnYCfym9wmTrwcqBUgYGWK3JYrQT4TCuXrnbXXx76XY1+qPaP8NVy31YzsXmXjZkjsfZ5a3runspld3lsz3H2VT7Ti1yr0u+X2he0G1yMte1AX10b6cfttZpWq91eMMocYez5UThqJvQp37eUtg/6esxWl2uytvL0m5OVd1Y1sR9sHqXCQ50NvOwDcVTlpvxETCivDYGXYVGtbFAH3YXxKwTMbAsPbxqtcABB9m7ARpv+m60RhRdH1ZhHNdBf01SN6++yKR6bPCd6BbMWxFel+Fq7xU+jfn17fwv13bs/nQn9/Yln0ccgC0FspSqOff251VlzXwy/Bu6K2ab+Vfz7K80XwS4FT+bIdM+ODGfyk7zqjsrD3LAO1dxQ+ZNMeUD18+fFzmFXfvYv8+X9OTTM1hvwhhc1PX8viicrGYjZM9ElIlLLp9nlOqGyiOtl65Uj8hrsXpuTr0bs/fdhnkylfxqvVjtubjW37eCMRMf2ac/aByCB9xdL4O0tQDNzHC63jE05/L89Nuey51HmshUxxMrcyYDlb+FM5kMKmCJLEoQ7uCPPflLZ7IofqmJE5UTuoLa6tD5z6WUPsMVjiue2QTpDYb5fsbiFQp9oWydV6JMc7oVC2HT2poZXgpflibA6TjhM7W+eIKJtxqvsk0qj8PJdNOhCcIIx0wfPSxKi80OEe5LLxZU+U0zvGjNSihMcOb4VGiX3GnlunMwxXEQ6sJjui5MQ6bEgXzgRNFCpF9bADeFnuLHrS3Dx5MZ1LW3xSeuqryjvzLS7yBU5ET+cTieKJ9z7pHqNnh7NBAZXFmC0zdu7y0M8eKVo3K2KLScDR+0fI3oF+qHB8TF+2PEdIxJWRYXbQczWCoGL/RD+bOcLm/QHUyrs3GmhEUvMbN3C/piYAVsKW5b530btno1AvjcgfeZbDRtZB19G+g7c7vvvtdImbcn3aLsvWfrReClweH+W5sdf7N6JHVmXEjRuIz0yYDOxyZL9H9YuR3e95sicrazavzUoZfyPk8Z/A2LZIxH5yz8d+RP527PhU/5aOs+YQ3hPZdwB5vwo71tP16KMzDh2+v9JXXCt7/G2Mv53jnlnWgg4+jv8PwP87fcLGxsbGxr8V/zeA/+efrsTGxsbGxtvY9nxjY2Pjfw/8X/d9/0+7cYm02djY2NjY2NjY2NjY2NjY2Nj4O/hfR1u2sbGxsbGxsbGxsbGxsbGx8X8QNmmzsbGxsbGxsbGxsbGxsbGx8S/EJm02NjY2NjY2NjY2NjY2NjY2/oXYpM3GxsbGxsbGxsbGxsbGxsbGvxCbtNnY2NjY2NjY2NjY2NjY2Nj4F2KTNhsbGxsbGxsbGxsbGxsbGxv/QmzSZmNjY2NjY2NjY2NjY2NjY+NfiE3abGxsbGxsbGxsbGxsbGxsbPwLsUmbjY2NjY2NjY2NjY2NjY2NjX8h/n8IkA68Sj9wrAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(-5,10,0.05)\n", "y = np.arange(-5,5,0.05)\n", "X, Y = np.meshgrid(x, y)\n", "disc_func = AiryDisk2D()\n", "z1 = disc_func.evaluate(X,Y,amplitude=1,x_0=0,y_0=0,radius=1.22)\n", "z2 = disc_func.evaluate(X,Y,amplitude=1,x_0=5,y_0=0,radius=1.22)\n", "z3 = disc_func.evaluate(X,Y,amplitude=1,x_0=1,y_0=0,radius=1.22)\n", "\n", "fig,ax = plt.subplots(nrows=1,ncols=3,figsize=[20,5])\n", "ax[0].pcolormesh(x,y,z1**0.4,cmap='magma') \n", "ax[1].pcolormesh(x,y,(z1+z2)**0.4,cmap='magma') \n", "ax[2].pcolormesh(x,y,(z1+z3)**0.4,cmap='magma')\n", "\n", "for axs in ax:\n", " axs.set_xticks([])\n", " axs.set_yticks([])\n", "ax[0].set_title(\"Single Airy Disc\")\n", "ax[1].set_title(\"Resolved Airy discs\")\n", "ax[2].set_title(\"Unresovled Airy discs\")\n", "plt.subplots_adjust(wspace=0)\n", "plt.savefig(\"Images/Airy_discs.png\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "016115b4-8d06-4d8e-9ed7-6e84c87a2af2", "metadata": {}, "source": [ "## 4 branches of Astronomy" ] }, { "cell_type": "markdown", "id": "06049621-4d63-4942-a4b1-852351fc7c80", "metadata": { "tags": [] }, "source": [ "Now, consider the folllowing three wavelength regimes:\n", "\n", "- Radio (10m-1mm). Take a 40m telescope and lambda=1m, then $\\theta=0.8^{\\rm o}$.\n", "- IR (30μm-450μm). Take a 6.5m telescope and lambda=10μm, then $\\theta=0.4^{\\rm \"}$.\n", "- Optical (300 nm - 1 μm). Take a 10m telescope and lambda=500μm, then $\\theta=0.01^{\\rm \"}$.\n", "- X-ray (0.12 nm - 4.1 nm). Take a 1 m telescope and lambda=1 nm, then $\\theta=0.0002^{\\rm \"}$.\n", "\n", "So, single dish radio telescopes have very poor resolution (we'll get to this next lecture), while X-ray imaging should have outstanding resolution. From our viewpoint on the Earth's atmosphere, we have access to a limited window, covering the optical window and the radiow window.\n", "\n", "![Atmosphereic Absorption](Figures/Atmospheric_Transmission.png)" ] }, { "cell_type": "markdown", "id": "b6b9434b-12d9-4daf-a0b9-81e3ede34160", "metadata": {}, "source": [ "## Telescope Designs" ] }, { "cell_type": "markdown", "id": "7d5ed32f-de5f-46eb-8b2b-3e956e04e34f", "metadata": {}, "source": [ "So how do we design optical telescopes to maximise their effectiveness? There are three optical designs which telescopes follow: Prime focus, Newtonian, and Cassigrian. Each of them is capable of having active supporting units under their primary mirrors, which allows mirrors to keep their shape when at an angle to Earth's gravitational field.\n", "\n", "![Optical Designs](Figures/Optics_Designs.png)\n", "\n", "![Telescope Designs](Figures/Telescope_Designs.png)\n", "\n", "In combination to the optical design, there is also the question of mount design. There are two primary designs: equatorial, and Altitude-Azimuth design (Alt-Az). For equatorial telescopes, one of the axe's is aligned parllel to the Earth's rotational axis. This means that when the telescope is point at a star, it then only requires movement around one axis in order to track stars. Very common for small, commerical telescopes, but for large telescopes, they require huge counterweights, and so becomes expensive The Hale telescope for example: https://sites.astro.caltech.edu/palomar/about/telescopes/hale.html. It's a 5m telescope, but requires a Dome which is 41 m tall and 42 m in diameter\n", "\n", "![Equatorial Telescope](Figures/Hale_telescope.jpg)\n", "\n", "Alt-Az telescopes are significantly more compact in design. One axis is perpendicular to the Zenith, the otheris parallel to it. As such, they require motion around 2 axes in order to track stars. See, for example, the VLT (https://www.eso.org/public/images/potw1036a/) These 10m telescope only need a dome with is 30 m tall and 28 m in diameter.\n", "\n", "![AltAz Telescope](Figures/VLT.jpg)" ] }, { "cell_type": "markdown", "id": "526681c8-a04b-4d19-8a0b-3ec5ee7e506d", "metadata": {}, "source": [ "## Optical" ] }, { "cell_type": "markdown", "id": "043bb9b3-d9ad-427d-a923-11d94ada2d00", "metadata": {}, "source": [ "The human eye has a very low quantum efficiency (QE) of about 1% (this means around 1 in every 100 photons is actually detected). At optical wavelengths, we typically use CCDs, or charged-coupled devices, for observations. This is due to their very high quantum efficiency, meaning their response is nearly linear - that is, the number of counts you observe is directly proportional to the intensity of light.\n", "\n", "They also have very high dynamic ranges - each pixel in a CCD is capable of registering up to ~65,000 counts accurately. Typically, CCD's are Si based. As a photon interacts with a given pixel, it causes excitation of an electron into a conduction band. When finished observing, the accumulation of charge within a pixel can be shifted to an adjacent pixel. As such, an image is read out pixel-by-pixel, as shown below.\n", "\n", "![CCD](Figures/CCD.png)\n", "\n", "Now, assume the number of photons reaching our detector over a fixed interval of time is $N$, but the arrival time of each photon is randomly distributed. The probability of detecting $k$ photons over a fixed time interval is then given by a Poisson distribution\n", "$$\n", " P(k)=\\frac{N^k e^{-N}}{k!}\n", "$$\n", "\n", "It is easy enough to show that for such a distribution, the standard deviation is given by $\\sigma=\\sqrt N$. For large N (>10), this becomes a Gaussian with $\\sigma=\\sqrt N$ (see below)\n", "\n", "$$\n", " P(k)=\\frac{1}{\\sqrt{2\\pi\\sigma^2}}e^{-(k-N)^2/2\\sigma^2}\n", "$$\n", "\n", "As such, any process which involves a large number of events has an ideal error on it of $\\sqrt N$ - this is called shot noise." ] }, { "cell_type": "code", "execution_count": 6, "id": "10184bc0-08c7-4ff4-aac4-4ae8a00b3648", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "k = np.arange(0.0,30.0,1)\n", "\n", "#For N = 3\n", "N=3.0\n", "P_k=[]\n", "for k_i in k:\n", " P_k.append(N**k_i*np.exp(-N)/np.math.factorial(k_i)) # Poisson Distribution\n", "G_k=1/np.sqrt(2*np.pi*N)*np.exp(-(k-N)**2/(2*N)) # Gaussian Distribution\n", "\n", "plt.figure(figsize=[4,3],dpi=150)\n", "plt.plot(k,P_k,'C1-',label='Poisson')\n", "plt.plot(k,G_k,'C0-',label='Gaussian')\n", "\n", "#For N = 10\n", "N=10.0\n", "P_k=[]\n", "for k_i in k:\n", " P_k.append((N**k_i)*np.exp(-N)/np.math.factorial(k_i)) # Poisson Distribution\n", "G_k=1/np.sqrt(2*np.pi*N)*np.exp(-(k-N)**2/(2*N)) # Gaussian Distribution\n", "\n", "plt.plot(k,P_k,'C1--')\n", "plt.plot(k,G_k,'C0--')\n", "\n", "#For N = 15\n", "N=15.0\n", "P_k=[]\n", "for k_i in k:\n", " P_k.append((N**k_i)*np.exp(-N)/np.math.factorial(k_i)) # Poisson Distribution\n", "G_k=1/np.sqrt(2*np.pi*N)*np.exp(-(k-N)**2/(2*N)) # Gaussian Distribution\n", "\n", "plt.plot(k,P_k,'C1-.')\n", "plt.plot(k,G_k,'C0-.')\n", "plt.xlabel(\"k\")\n", "plt.ylabel(\"P(k)\")\n", "plt.title(\"Probability of observing k events for N=3,10,15\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.savefig(\"Figures/Poisson_vs_Gaussian.jpg\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }