{ "cells": [ { "cell_type": "code", "execution_count": 42, "id": "a3496b23", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Equilibrium Point found at: x = 0.4633, y = 0.2943\n", "\n", "--- Stability Analysis ---\n", "Eigenvalues: [-147.60596+8726.844j -147.60596-8726.844j]\n", "Result: System is STABLE at this point.\n" ] } ], "source": [ "from functools import partial\n", "\n", "import jax\n", "import jax.numpy as jnp\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import optimistix as optx\n", "from tqdm import trange\n", "\n", "# --- 1. Define Constants ---\n", "# (Adjust these values based on your specific model needs)\n", "params = {\n", " \"bias\": 100e-12,\n", " \"I0\": 129e-15,\n", " \"a\": 0.39,\n", " \"b\": 0.025,\n", " \"c\": 26e-2,\n", " \"d\": 0.5,\n", " \"scale\": 0.6,\n", " \"C\": 1e-13,\n", "}\n", "\n", "\n", "def system(state, p, input=0):\n", " x, y = state[0], state[1]\n", " z = jnp.tanh(5 * (x - y))\n", "\n", " # Equation for dx/dt\n", " dx = (\n", " input\n", " + z * p[\"bias\"]\n", " - p[\"I0\"] * jnp.exp(p[\"a\"] * y / p[\"b\"]) * (z + p[\"c\"] * (p[\"d\"] - x) * z)\n", " - p[\"bias\"] * p[\"scale\"]\n", " ) / p[\"C\"]\n", "\n", " # Equation for dy/dt\n", " dy = (\n", " -z * p[\"bias\"]\n", " + p[\"I0\"] * jnp.exp(p[\"a\"] * x / p[\"b\"]) * (z + p[\"c\"] * (p[\"d\"] - y) * z)\n", " - p[\"bias\"] * p[\"scale\"]\n", " ) / p[\"C\"]\n", "\n", " return jnp.asarray([dx, dy])\n", "\n", "\n", "# --- 2. Find Equilibrium Point ---\n", "# We solve for where dx=0 and dy=0\n", "initial_guess = jnp.asarray([0.6, 0.3])\n", "solver = optx.Newton(rtol=1e-3, atol=1e-2)\n", "sol = optx.root_find(\n", " system, solver, initial_guess, args=params, max_steps=100000, throw=False\n", ")\n", "fixed_point = sol.value\n", "\n", "print(f\"Equilibrium Point found at: x = {fixed_point[0]:.4f}, y = {fixed_point[1]:.4f}\")\n", "\n", "jacobian_func = jax.jacobian(partial(system, p=params), argnums=0)\n", "J = jacobian_func(fixed_point)\n", "eigenvalues = jnp.linalg.eigvals(J)\n", "\n", "print(\"\\n--- Stability Analysis ---\")\n", "print(f\"Eigenvalues: {eigenvalues}\")\n", "if jnp.all(jnp.real(eigenvalues) < 0):\n", " print(\"Result: System is STABLE at this point.\")\n", "else:\n", " print(\"Result: System is UNSTABLE at this point.\")" ] }, { "cell_type": "code", "execution_count": 47, "id": "7304fea5", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 50/50 [00:05<00:00, 9.16it/s]\n" ] } ], "source": [ "# --- 4. Plotting the Phase Portrait ---\n", "x_range = jnp.linspace(-1.0, 1.0, 50)\n", "y_range = jnp.linspace(-1.0, 1.0, 50)\n", "X, Y = np.meshgrid(x_range, y_range)\n", "U, V = np.zeros(X.shape), np.zeros(Y.shape)\n", "\n", "EIG = np.zeros(X.shape + (2,), dtype=np.complex64)\n", "\n", "for i in trange(len(x_range)):\n", " for j in range(len(y_range)):\n", " vel = system([X[i, j], Y[i, j]], params, input=100e-12)\n", " U[i, j] = vel[0]\n", " V[i, j] = vel[1]\n", "\n", " # J = jacobian_func(jnp.asarray([X[i,j], Y[i,j]]))\n", " # eigenvalues = jnp.linalg.eigvals(J)\n", " # EIG[i,j,0] = eigenvalues[0]\n", " # EIG[i,j,1] = eigenvalues[1]" ] }, { "cell_type": "code", "execution_count": 48, "id": "76a4009d", "metadata": {}, "outputs": [ { "data": { "image/png": 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37i13vsPhUNdff71q0KCBMgyjNKybO5TbE088Ue4cl8ulHnnkEdW8eXMVFxenTjjhBPX111+rsWPHqubNm5f7HWXD8j344IMqKytLWSwWHdZNo4kyDKUC7PGh0Wg0tZRp06Zx0003sWnTJr8RGzQajUajcaPFsUajOaJRStG5c2fq1avnN+6wRqPRaDTeaJ9jjUZzRJKXl8dXX33F3LlzWbZsGV9++WWks6TRaDSaWoC2HGs0miOSTZs20bJlS9LT07n22mt5+OGHI50ljUaj0dQCtDjWaDQajUaj0WhK0HGONRqNRqPRaDSaErQ41mg0Go1Go9FoStAd8kzA5XKxY8cOUlJS9LCgGo1Go9FoNFGIUoqcnBwaN26MxVKxfViLYxPYsWMHTZs2jXQ2NBqNRqPRaDRVsHXrVpo0aVLhfi2OTSAlJQWAjRs3Urdu3QjnJjqx2+18//33DB06FJvNFunsRC26nAJDl1PV6DIKDF1OgaHLqWp0GQVGJMspOzubpk2bluq2itDi2ATcrhQpKSmkpqZGODfRid1uJzExkdTUVF1pVIIup8DQ5VQ1uowCQ5dTYOhyqhpdRoERDeVUlQus7pCn0Wg0Go1Go9GUoMWxRqPRaDQajUZTghbHGo1Go9FoNBpNCdrnOEw4nU7sdnuksxEx7HY7MTExFBYW4nQ6I52dqCVc5WS1WomJidGhBzUajUajKYMWx2EgNzeXbdu2cTSP1K2UIjMzk61bt2pBVgnhLKfExEQaNWpEbGxsSK+j0Wg0Gk1tQovjEON0Otm2bRuJiYk0aNDgqBWGLpeL3NxckpOTKw28fbQTjnJSSlFcXMzevXvZuHEjbdu21f8TjUaj0WhK0OI4xNjtdpRSNGjQgISEhEhnJ2K4XC6Ki4uJj4/XQqwSwlVOCQkJ2Gw2Nm/eXHo9jUaj0Wg0ukNe2DhaLcaa6EV/pGg0Go1GUx79dtRoNBqNRqPRaErQ4lij0Wg0Go1GoylBi+PagtMJ8+bB++/L/AgJh/bWW2+Rnp5euj5lyhS6dOlSuj5u3DhGjx5duj5gwAAmTZpU7ets2rQJwzBYsmRJjfMaKebNm4dhGBw6dCjSWdFoNBqN5ohHi+PawGefQYsWMHAgXHihzFu0kO0hYty4cRiGUW4aPny4qdc577zzWLt2bYX7p02bxltvvRX0dZo2bcrOnTs59thjg06rukyZMqW0/GJiYmjRogU33XQTubm5AZ3fu3dvdu7cSVpaWsDXLPtRodFoNBqNJjB0tIpo57PP4JxzoGyM5O3bZfsnn8BZZ4Xk0sOHD+fNN9/02RYXF2fqNRISEiqN4lEdQVgRxcXFxMbGkpmZGXRaNaVTp07MmTMHh8PB/Pnzueyyy8jPz+eVV16p8txI512j0Wg0mqMJbTmOZpxOuPHG8sIYPNsmTQqZi0VcXByZmZk+U506dUr3//vvv/Tv35/4+Hg6duzI7NmzMQyDL774AvDvDrBkyRIMw2DTpk1AebeKsvizgDocDiZOnEhaWhr169fnnnvu8RlgpUWLFjz44INceumlpKamcuWVV5Zzq/B33S+++MInqojbxeONN96gWbNmJCcnc+211+J0Opk6dSqZmZlkZGTw8MMPV1mWMTExZGZm0qRJE8477zwuuugivvrqKwCKioq44YYbyMjIIDExkeHDh/Pnn3+Wnlu2HN15/+677+jQoQPJyckMHz6cnTt3luZ7xowZfPnll6UW63nz5lWZR41Go9FoNFocRze//ALbtlW8XynYulWOCzMul4uzzjqL2NhYfv/9d6ZPn87tt98elmvPmDGDmJgY/vjjD6ZNm8bTTz/Na6+95nPMk08+SefOnVm8eDH33HNPja+1fv16vv32W2bNmsX777/P66+/zqhRo9i2bRs//fQTjz/+OHfffTe///57tdJNSEiguLgYgNtuu41PP/2UGTNm8Ndff9GqVStGjBjBgQMHKjw/Pz+fJ598knfeeYeff/6ZLVu2cMsttwBwyy23cO6555YK5p07d9K7d+8al4FGo9FoNEcT2q0imimxBJp2XDX5+uuvSU5O9tl25513cueddzJnzhxWr17Nd999R+PGjQF45JFHGDFiREjy4k3Tpk155plnMAyD9u3bs2zZMp555hkmTJhQesygQYP4z3/+U7rutlRXF5fLxRtvvEFKSgodO3Zk4MCBrFmzhpkzZ2KxWGjfvj2PP/44c+fOpWfPngGluWjRIt577z0GDRpEXl4eL7/8Mm+99RYjRozA5XIxbdo0unTpwuuvv86tt97qNw273c706dNp3bo1ABMnTuSBBx4AIDk5mYSEBIqKikLnjuE6BEYa6PjdGk304ywAFFgTI50TjaZWUKssxz///DOnnXYajRs39mm+r4x58+bRtWtX4uLiaNOmjd/OXS+++CItWrQgPj6enj178scff5if+ZrQqJG5x1WTgQMHsmTJEp/p6quvBmDVqlU0bdq0VBgD9OrVKyT5KMtJJ53k4/7Qq1cv/v33X5xe7iXdu3c35VotWrQgJSWldL1hw4Z07NjRZwCNhg0bsmfPnkrTWbZsWalo7dGjB7169eKFF15g/fr12O12+vTpU3qszWbjxBNPZNWqVRWml5iYWCqMARo1alRlHkwj/zPYVgd294SCmf7dfjQaTXSgFPzeA+Y2gDW3QlGY6glN5djz4YPTYdYNkLc30rnRlKFWieO8vDw6d+7Miy++GNDxGzduZNSoUaUib9KkSVxxxRV89913pcd8+OGH3Hzzzdx33338/fffdO7cmWHDhoVPaFRGv37QpEnF1jnDgKZN5bgQkJSURJs2bXymunXrBny+W0B6+wPb7XbT8+mPpKSkSvdbLBaffIH/vNlsNp91wzD8bnO5XJVer3379ixZsoRVq1ZRUFDAV199RcOGDSs9pzL85aHs7wkZ9uUyL/4T9o7SIlmjiXZyl4MrHzY/Cb+01CI5Gtj2O6z9H/zxPLzQFhY+Bc7iSOdKU0KtcqsYMWJEtZrtp0+fTsuWLXnqqacA6NChA7/++ivPPPMMw4YNA+Dpp59mwoQJjB8/vvScb775hjfeeIM77rijWvkzjI+AlDJbY4GWwMGS5RKUAVQhJizAsw/BmPEihL3Fh1swP/MgWA4Fll61KAKKQe33u7fDMVls3bqVnTtW0KiRNN3/tvBH2alyQO2nQX0RcDt3rCI9rR22mHyWLlkgx7gOgisFXLmSb1fJdVQ+4PRaLwJV7FnHzu+/L/Bah98WzqVt21ZYjUPgAnCByvM5BtfBkvkhcO2nQb04cnJyyMvZSlKSNDUuWbyw5JgK8uI3P5InVGHJNj//B5VPbKyVNq3cnRlzSvIJrVumExsby/xfZtG86TkYSoE6zF9//cGkG6+SNF2HS/J1AFzO8mUG4MrxyXuszYXTUVAmn2XuIWexpFXwJbiqUSnbl/quu0WypQHEj4T4QYGn5U01bl/D6aBp+j8YefvB6q8ai5X/k2mYmJ5SyH1iFnFyX5bBcDhomvwPxqH9EFONql7F+k2vZhjmfjQZceAyK28ANgx7AU3j/sHYu6965VQWSwLUP9e8rAHsmwn2IK2KZcvfLZK3PAtJx0LjcWBLrzIZw+mgqfUfjJ375JmzxIOzsv9FRfd4RdttoBxljimZG0b57f62uee2VMgYXEnegsCeCxs/B4utZIopXTZcULd4Jcae+hCb4LOv7LHk7/KkWXQYZt8Ci6bDkCeh3enaZS3C1CpxXF0WLlzI4MG+D8iwYcNKB5EoLi5m0aJFTJ48uXS/xWJh8ODBLFy4sMJ0i4qKKCryVArZ2dkAxMRc6+fo5sB0ylYIimQMAohze1Yn+PgxmPQUbPP60m+SAc/cLPvZiFJxGJjz0lDEgcqhqPAQu3b+6bMvJiaG+vXTGXxKM9q1a8rYsZfzxNQbyM7O4667nylJYDeojbRpbdC0aUOmTHmQhx+cwNq1W3j6mWklx2wF5QT2ImJ2Y8n2Q0CRZ50cIN9rfyFbtmzl5ptv4Korz+TvxWt4/oX/8tQTk7zOcYioL10H1I6S+XZQyfTsUZ/ExHgm3zmZGyeew+9/LOetGe/KMS6vvKgizzqI8Ce/zLZCUIfBtVH+r6rM/9VVko5zI2VJiodrrjqLW2+/h7rpRTRrmsnUp94mPz+Py8f2Qzm3gqukEnVuBmcKqJIy807PtbvkGNnWolkK330/mzUr51KvXjppacnE2FIxVL7nHCcinrNvh5jN5fJWIRUZyV17IX+GTDVAORMwVEFAx8YAXZsCFfRZdNm6Yyn8q0b58J9eTyyF1et0WRFKgVF5Q0O1cMWdhCX/t3LbY4CuDYBqdklw2bphKVhkSt6UkYzhCCyedyC4EvtgyZlvWnoq7nhi8v+hawpQ/vGsXlq2RjjSzjQlX26sGx/EklP+f1stKvo2UQ7IXQJrJwWUTAzQNRZYLeuulH5YDpjXGVzZWmPkrTcnrZSOOE5eYkpa5cjejm3upX53xQD9AL4OIB1/Vd2BdfDhaJQ1FtV8ECTWQ8WmQlwKxKVCbCrKZzkVYkvW41LBGhfdorqgAGP+L7g2b4JGTcLWkuxNoNc8osXxrl27yjVdN2zYkOzsbAoKCjh48CBOp9PvMatXr64w3UcffZT777+/3Pa9e4+jsNDqs81uz8TpjMVuj8dq9XixuFwWLJYAO0ecfiqMGoHx6yLYuRcaNUD17QZWK5R8aCuXBcOwVp5OgChlwaVimPXdQhpl+Vrq27VryfJl8uR/9OELXHX1PfQ4aRzNm2fxzNOTOfW0q3A447A7EsGAd95+konXP8jxJ1xI927HMuW+G7ngwpuxOxKwOxJxOmMBQ44HnC4bSllK112uGFzKWrqulJWLLjqDvHwnPXqNx2q1MPG6Sxg//iLsjpJKQRk4XbGl5wDYHRJL2e6Mx+5IJCU1kbfefJw7Jj/Fa69/ysCBPbnnruu45ropvnnB4pOOS8Xgcll9tillxeWKwe5IxKUsWAzf/6tTlaTj9P//fvCB23A4rFwyfgo5OXl069qJb776L8mpmdgdBg5nXOlv8FdmgNcxsm3c2AuY+9MSuvcaS25uPrNnvUm/fr188mZ3uXCqWPbldMRmCdxdJsm2k+S4XeW2KwUOVwIH8tpRE48t5bBiGOaEJSwsTic+pqspaQEUFKWSYFp6ClzmvcAKDqWQYDXvtxYWpxNvUnouZcWizAs1mZ+bRKLFxN+al068SekVF6bw98yZpqTlplNcBilB50/RkMV+97iUQbarGUXUq3aq+fsTSVRl81ZeiRt+1Xn5bcV5KcSS7HV82WM86+XTVD7b83MyTP9fuIl37ueE2C4YODGUEwtOLMoh6zixKCcGjpK5n3Wc/n+eF4azGGPDrGrnzYWVgwfbobCQl5xJXnIj8pJK5smNcNgi2yEzZfNGBt1xE4YtFsvr/8fs2bPDnof8/PyqDwIMFTZHRXMxDIPPP/+80lHA2rVrx/jx430swzNnzmTUqFHk5+dz8OBBsrKyWLBggU9nsttuu42ffvqpwvBc/izH7hHY6tXzrWQKCwvZunVraYe/Ix2r1cqnn35a7v+ilCInJ4eUlBSfznQaX8JZToWFhWzatImmTZtW69605DyENfeB0nWFgYo/D2fKnRBzTCiyWg673c7s2bMZMmRIOf9rjaDLKDCO+HJSCts838GbVHxLnC0moxpeJE38AXDEl5MJBFRGSoFyYFnwGNZfHiy/O70lrqb9IasHFGXLVJyDUZQNxdlQlOO1ngNF2RjFJW51CtTmeAx7of9LpzRAZbSGjNaohq1RDVpBRhtUw9aQVDe0Vud/FhMz7jyMjZsovvUuvut4PKeMOjXs91J2djb169fn8OHDpKamVnjcEW05zszMZPfu3T7bdu/eTWpqKgkJCVitVqxWq99jKguBFRcX53ekOJvNVu4f7XQ6MQwDi8XiE+HgSMbfb3V3WHOXhcY/4Swni8VS2sGwWhVUTHrJggGJF2Ck3YNhOyYivXurnfejEF1GgXHElpNSYE0GZy4ktIJWd2M0upiYAEVxWY7YcjKRqssoFpSXb1VMAnS+FHrcgNGgI9VuA1YuKM6FgkMY+3fCng2we53vlL0HI2cvRs5eWO/HVScxHVr3AntT6HYydD0ZMrKqmxM/eVPwwpPwyD3QuDk0bIDlhK64lDUi91Kg1zuixXGvXr2YWaZpZfbs2aVW4tjYWLp168YPP/xQaul0uVz88MMPTJw4MdzZ1WhqB8mXS8eo+EFgC4+lWKPR1BDDgBO+guK9kHFmwJZiTYjpcDbs+ANaDoauV0BC4K5t5TAsHr/j9GbQ2k/M/YIc2LO+vGjevQ4Obof8Q7B9B8z/Fj7/r5zTtI2I5G4DZJ7ZtHr5WrIIbr8B1q2B5FTo2x8eeRYVGwshcnsxi1oljnNzc1m3bl3p+saNG1myZAl169alWbNmTJ48me3bt/P2228DcPXVV/PCCy9w2223cdlll/Hjjz/y0Ucf8c0335SmcfPNNzN27Fi6d+9Ojx49ePbZZ8nLyyuNXqGpHrXUS0dTHSypkOKv86lGo4lK6g6MdA40ZWl0Alz8ffiul5ACzbvIVJaifNi7ETauhhYLYNE8WLsEtq6T6cvX5bisltD7AujZH3oPhNjY8mkBHDwITz4ILz8rluOkJHj+dRh9rnysRaAjXnWpVeL4r7/+YuBAz0N+8803AzB27Fjeeustdu7cyZYtW0r3t2zZkm+++YabbrqJadOm0aRJE1577bXSMG4A5513Hnv37uXee+9l165ddOnShVmzZgUVg1aj0Wg0Go2mVhCXCE06ydTvbNmWexiW/CpCedFPsHoRHDoIzz0K6hFITYMhp8GIc6DvQHD7786dA1ePg5YtRRiPuQimPA6NTXDRCCO1ShwPGDCgUsukv9HvBgwYwOLF/nvqupk4cWLI3Si0RVUTbeh7UqPRaDR+SU6DvqNkAsjNhr9/hZn/g28/h7274dN34X+z4PAhaN4O4uOhXjrs2A4JifC/udB3QAR/RM3RPaNCjNUqrvXFxXrkG0104Q5pozvXaDQajaZSklOh/0h47GX4ezt8/gvcPAXq1AWHA3JyYNMG+OUXmHgzzF9ca4Ux1DLLcW0kJiaGxMRE9u7di81mO2ojNbhcLoqLiyksLDxqyyAQwlFOSiny8/PZs2cP6enppR9wGo1Go9FUidUKPfvKNPF2eOtNeO5ZyMqCgafA/Q9FOodBo8VxiDEMg0aNGrFx40Y2b67GKGRHGEopCgoKSEhI0HGOKyGc5ZSenl5pyEKNRqPRaCpkzRp4+AGYPQc6d4G+fWHynZHOlSlocRwGYmNjadu27VHtWmG32/n555/p37+/bsavhHCVk81m0xbjaEOp6B76VaPRaEDqqvf/DyZdCy3bQssWcPbZcPElYlU+AtDiOExYLJajYoS8irBarTgcDuLj47U4rgRdTkcpDjtc31mC+Y+ZDAMuAquunjUaTZRx+DBcfxWsXy9+xk2bwLSXxKXCm4I8SEiKTB5NQDt/ajQaTaQ5uAu2roJta+CZcXD1MfDDDHA6Ip0zjUajEb77Fi44Gz75EJYtgSenwYef+Qrj4iJ46HIY1Rj27YxYVoNFmyZMxFj3G+xLMyElC+Cq8qiAUAowsanWsIByVv80h4O6e1ZgrEmFGO/bzijJowmo0j/mYFh8h/g0gyp+q+FwUG/3coyVyWXKKcQY1hr9XyvEzP+FYQGX7//BcDiot3MZxvKk6peTxRp9ovPQHt/1netFJL/2H+g+CgZdAtXsoGk4HNTdsRzjnwTz7qUQ/1+Doob/V8PpoMHWpRhL4nyt9Wa6uVis4DLx+bJYwWlien5/p+82w+mg/tZlGEsSfe+nsudarJ7/q2F40jEMz7HV2W5YPNstFlm3WDzL7mPK7it7fOk+K9hiIcam3ZgCZdcuuHWSiGKAs8fADTdDj5PKHxsbB5tWQV42fPISXP1gWLNqFobSwU6DJjs7m7S0NA6fC6lmtIS3PBE2/GlCQkBsoox+Yxbt+sKaX81Lr1kX2LTEnLRS6kP2PnPSAjimP6z62bz0sjrCtpXmpFW/GezdUvVxgdLxZFjxk3npZbSC3RvMSatRO9i+1py0ADqdDMtN/K11GsOBHcGlEaJaeF/DjtTfZdI9B5CYDnmHzEmrTVf4929z0gI4pg+snG9eelabuLuYQfuesPp3c9ICOKYnrDIpvRgbFJs4YlmnPvCPif+HNt1gzSJz0kpOh4OHPOvWGPn9brHsnsdUse6eZ7YW14KUdEhNx5GYyt//rqfrgFOIqVO/ZHsdCYNWW6M0ffE5PPsU/PWbfDBefxPcc7+MelcRP3wCd46BtHrw1VaIT/DZbbfbmTlzJiNHjgy7+2CpXjt8mFT3wCV+0JZjE1ENWkG8Cc7oaQ1FEJhBTBzYi8xJCyC1ATRuX+3TlFLk5uaRnJzkG4UhvRE0LjAnbwlpkFzPnLQA0hpA1jHmpVevSZWW6ArLqSypDSDORH+utAxo0sHE9DIh1iQf+zqNweJbVSmlyMnNJSU5ufpRPdIyoGlHc/IGkFwXkusEl4bDXvkHQL0mkFS9VimlFEXWdFSzTuZFPolLgsI8c9Kq18TcYWTrNYKWx1X7NKUU2dk5pKam+JaTJcY8a2+DJlBsUj0HUL8JtDIpPasV7GUs7n5sZsrlKv/M+bOt1WkIzTuU7FOe45TXcnW2p6RD/cZSd7pcJfvcy5Vtc/mmA+UtxU6HTEU1LMtj+8Efv5SuxgA9AN5/3Pc4w5BBNVLTRSynpHuEs/e8cWto3BxatKl4aOZwcs9d8N67sHULjBkDt9wBJ3St+ryTR0OjFrBzE3z7Dpx5ZYgzaj5aHJuI4/4/oJ6J4uwIwmG382OEvhRrE7qcAsNhtzP3SCqnvVthfDPfbekZcPbtMOJqiE+sdpIOu52/jqQyChEOu515upyqpNY+c26B7HLJx47LCfZi+SB1zx1l1u3FFWwrcyxW6HIyZB+EnEO4Dh/k4JYN1I0xMHIOQc4hKCyQ67vXt2+qOK/JzWH7ZnFbadEW2nWCth1l3q6jbIuLC0epwUcfwtKl4iZx8y3wwMOBC/aYGDjvBnj2ZvjgWTjjilpnOdfiWKPRaCKNt5U9SFGs0Wi8cPsuWyyUSp4QPVdOu51fy35AFBdB9iERxiUiunTuXs4+BIcPwPqtMs/NgXWrZPLGapXQaW07eqb2x0GbY8zrV2C3w/++gsceg+REOO98mPJA9dM57XL4733if/zbd9B7hDn5CxNaHGs0Gk2kSWsA174k1q3B47Uo1miOFGLjoH5DmQJBKdi5DdaugH9XyuRezsmGdatl+vYzOb7NsbB+GwwcAqcMh1OGQeOsyq9REX/9Bc8/B4v/hkaNYcCAmg/qkZwqFuP3n4H3n9biWKPRaDQ1YOQ1kc6BRqOJNIYBjZvKNGC4Z7tSsGt7iVj2EsxOKxxeDl98LBNAx+NgyAgYPAJO6gOBuMG89ip8+gl8/z10PxFOOx0uuSS433LuDfDhNPhjDqxbBm2q3ycgUmhxrNFoNBqNRhPNGAY0aiJT/6Ge7U4n/P0nzJkFP8yCRX/AymUyzf8VVqyEUafD6LNh4Cnlo0zs3g033QB/L4J16+HKK+HhR6Fu3eDz3LgFDDsXcnfCmtlaHGs0Go1Go9FoQozVCieeJNPkKXBgP/z4vYjlLdvh0CH4v7dlatlG4jxnNYHBg6F5S7j+Gjh4ENq1h8emwn9uMTf+85AR8NpYWFwMo242L90Qo8WxRqPRaDQazZFA3XpwzgUyOZ2wcD588Rn8+hMsXwnFxeBwwHPTID8f4uOhywkw/VXo2s38/LTtI/PNi8BeCDaTQnyGmNoVW0Oj0Wg0Go1GUzVWK/TtD08+Cwv/htXr4T+3QU6ujHpXVAR33g0L/giNMAZo0ApSMyQE3sa/QnONEKDFsUaj0Wg0Gs2RjN0Or78GU6dC02ZwUi/4awlcd715YeD8YRjQpsR6/K+JIyeGGC2ONRqNRqPRaI5k3n4b5syBnidJJIq5P8MxJo4AWxlu14p1WhxrNBrNkc1r06D/MTD9Kcg3aUhljUajMZOcHPi//4MXnhfr8YUXwl13h9ZaXJZScbzA/5DjUYgWxxqNRlMTvvkE1q+BB2+BXq20SNZoNNHFzz/DlRNg6uMSoeLqa+C6ieHPR/Ou0hEvdz/sWhv+69cAHa3CTPbtBqe9kgMC/GJyKTArkoqZaUHNv/rsduIP7pORf7wDkrtc5oWNCTRvAf8GFfC/zLTrOuwk7tsNWzdCTGWB283OW+mfKo6LQNkpF+VuYoedpN3bYcPaKsqpojQDyVwVxxQUeJb37RGRPO0hGHU2XHwVJCVXP1+B5i3Aeyl5xxZYs7xmZeQPM59XMO+3AmCU3CvVxGEndesGWLHEt5xMtXAZmPvAVpJeZf8ff/tcqmRoZa/97iGXvbc5HSTv3Cajs9liyx+H4Vl3D9fsngxL+W3e+0qXy55n5svrKMLlgmnPwqefwoIF0LcfjBkD554bmTKNiYWWJ8LaX8TvuH6r8OehmmhxbCK2IZ3MscUffyIs/dOEhICERCjINyctgO594c9fq32aDRgGcG+ZHR27wMolQWcLgHr1Yf8+c9IC6NEffv/ZvPTadpQRjSrBBgwBmFJFWo2bwY4t5uQLoOfJ8NtP5qXXvBVs3mBOWi3biQj2wgYMrml6J5n8W73JPgTvvy5TTTjmOFi1zJSs2IDObTpie/AGU9IDIDVdfqMZHNcV/vnbnLQATuwDf1bfp9EGDPS3I8YmzdBm0LUn/P27OWkBnGBiejYbFFf9O23AKYGkd2If+MNE39IuPeSZsMVKXt3z2Fj5H3nP3fsr2peUIutp6ZBep/w8vQ6kpkmUh9rK5s1w1ZWwexf88w/85z8w5f7yg3+Emza9RRyvmw+9ghx5LwxocWwiymKAxYSvMsNi3sNptQbuWxTIF6XVKhVNNVGAy+XCYrH42gBjYiAurtrp+cUWB3EmxlCMsUF8QmDHBlJ2cXGQWHkFpQCnw4k1xlq5wT8+vuaWSX/YYiE5xbz0EpIgJbXq4wIpt6QkeXl5oRTY7XZsNlv1DSFx8fISDJacHHA6/O+zWiElzXdbQL81GerWDz5vlNxLsXGoeg0CazwKJH/JqeY9rylpkJFpTlog91vDRoEd6/VblYLCwkLi4+N9i8Bqq/j/W11S06FRljlpVZSeP0t3INtiYkQcl25XnmWvuVIKe7Edmy1G7idV5jj3ss0m9ZxyiQXTe6qJNd5eLK003i01NaVOPdi3v+rjUlOljP0JaO95VlPIbAwtW4XXh9cfLhfMmAGTboDcXGjeHKa/AldMiA4LfNvaFbFCi2MTcSzaC/XqRTobUYnDbmfmzJmMHDkSWyDjvB+l6HIKDIfdzreRLqcz+8EfZVpRBg6Hm+6DbidFJk9eOOx2fot0GdUCHHY73+tyqhJTnjm3iPYnmv2JaZcLHHYZtMJuF6Fst5cMZFFm7m+b9zn2YhkU4+AhOHwIDh2U+eGDnvW8kj4D2dkybauida7PQJg3VwxGrdtibdeeYywxGHmHoeNxMupcYmLNyqo6/PsvXHmF+Bif2APiYuG/r0H79qG/dqC06S3zXWsgx8QW3hChxbFGo9HUBG//1CgSxRpN1OLtjxyN2O0lgvmQRzx7z8tui02EhASxaq9agWXVCtoDfP6RpGcY0Kw5tO8A7Y6BYzrI8rHHi3U6WJSCl1+G11+FJUuklW3ceLjyyugr4+R60GUoWJ1wYHWkc1MlWhxrNBpNTZh4BzRtARdOgO69Ip0bjUYTLDYb1G8gU6C4XLB1C6xehXPVCrbO+Z5mhflY1q6G/fth8yaZvv/Wc06PviKcTzsDTj0d2ratfl6Li+HOO+Hpp6BVKxg6FF5+BVq0qH5a4aIBsOEHjOwLAHPcx0KFFscajUZTE04eKpNGozl6sVigeQto3gLXoMEsbdmWrJEjsdhssG8frFkl0+pVsHY1rFoJixZBYQH8+gvcfgu0P0ZE8lnnQPfugfkIv/02/PUX9O0L54yB66+PDt/iykhqCICRvwctjjUajUaj0WiONurXh/r9oE8/3+2bN8M3/4P/fQk/zYM1q2X6+WfYuRPOv0AE7wknlBe827bB7Nnw1FPQqBGMHQvjx4ftJwVFUobM8/ZGNh8BoMWxRqPRaDQaTbho3hyunSjT4cPw3SwRyt/PFmvz44/BrFmwaRMce6xEv7ntdomI8corsHo1tG4Np58O48ZF+tcETqnleHfUD0GnxbFGo9FoNBpNJEhLg3PPk6mgAL75Bt5/DwqLpJPd4cOwbJmE71ywQOL5t24NV10Fp5wS/a4U3pSIY/L2gomRQ0OBFscajUaj0Wg0kSYhAc45R6biYli1Cpb9Aw8+KPGZc3Lgqqvh/vvl2NpGiVuFkb9bi2ONRqPRaDQaTTWwWsUH+bPPJI5xaip8+JEMA11bKbUc74lsPgJAi2ONRqPRaDSaaGHZMrhyAvz+u8QuPvtsePIp8VWuzbjFcf5eGfQliolyl2iNRqOJUl58Drp2ghemmTO0rUajObpxuSQKxfXXizBOSYGpT4jFuLYLY4BEiR9tKCexztwIZ6ZytDjWaDSamvDpRxKz9NZJ0KEVPP+sFskajaZmuFxw+eXwxBPw009wxRWwchVcc030jXZXU6w2SKgLQJzjUGTzUgXarUITGpQqv+5yeaaKjgt0W03PC3ZbVfuqe07ZbXY7MXm5cOiQjNZUnbxF1TYXYFR+nN+y8rPN5WebvZiEvXtgy2avYZwDzZufY2vyWwu9hPDuXXDbTfDoA3DWuXDZBEhOrn76ZbdXVWaVrTvspG7eBMuW+g51beb/NZi0DMO3Lgg2PYsFnM5qn2s4HdRbtQIjLUVCZblx+bmHK0qzqn1WCzhNbEa2Wj1l545WUNM5SNlVNBmWkv+Vk8RdO2HTRoiN83Oc4Vm22SA2VuZHirALNVOnwq5d0LChdLi78srIRqLYuQWWLoTUOtDbxMGOEjOg4ABxjsPmpRkCtDg2kZh2TcFShSCoajtA5xNgyd9VHx/ItsREyMurfh4q2terL8z/peLzKsAGnOFvx/Fd4J8l1U7PL/Xqw/595qQF0Lc//Pqzeekd00FGSaoEGzAqkLSaNpMhS82i78nw60/mpdeiFWzaYE5abdrBv2t9NtmAGlfXZv9Wbw4ehNdfkakmdDoOViwzJSs24LhjOmK7fZIp6QESduqwSS+1E7rC4r+rPi5QevWBhfOrfVoM0NffDmsMOBzB5kro0RP++N2ctABO7AF//mFOWjYbFNurPgwYEkh6vfvCgl896zExIpS9J5v3ss3/dvfUrIVEbqhbF+rUgTp1ZTm9jszr1hW/3NoU0qwsP/wAn34KcXHwn//ApZdGOkewcDZMuQL6DDdXHCc1hP2rteX4aMIoKPBraKg2DgcUFZmQUElaZa0pwVCZoNYcefh74QSyLcbqa4Wr6LhA0rLZJManFwpwulxYrVbfRy6Q9GJtvlbd6pzrvS03t+Jny2qV3uXVTT8lWUbVCjZvyKPqSEhANcz0c2gN/68pKZCcUvExVf1/vdfr1YcWLWuWD3/b6tWHNm2rfa5Sity8PJKTkzG8j7XGBFZ3BiLKMhtBh45VHxcomY0lPXd9HMzcagW7vXzrXplJuVw47HZiLBYMf8eUplnGQu5wyJSfX7Pfelxn+Gdp5cfExJSI5xIB7b3sPc/MhKwm0KaN//op3OzbB/fdJyHb4uNFGI8eHelcCZlNZb5rq7npJkunPG05Poqwz18kD6GbmlbySlXcFFVZRexvX4Vp1TBvNdxmd9iZM3sOg4cOwebdxFvRuZVtr2hfRb/V7P9DKMvJbufbWd8yYsRIbDZbxeeFIm+1CIfdzsyZMxk5skw5hZNBfctbKgcPhTvvg169I5MnLxx2O79HuoxqAQ67nR91OVVJQM+cUvJBYbeLtdc9udftxb7bfY4pc6x7cjhgwEBplTlwAA4ekOWDB2TdfcyePTJVRtt2sGatWKQ7dIBjj4NOx8p03HHQtGl46kanEz78UPyKCwrgxBNh1CgYPjz01w4UtzjebbI4TpRYx9pyfDTRrDnUqxfpXEQndjvFqalQt57Hl1ZTHsNAxdikjHQ5RTfe/59Thogo7t0ncvnRaCKNYYhFNiYmPINUKCXi8kCJUD5URkCXFdO2WNi2XVwNly6VyZvUVBHKx5YI5mOPk2V/rTk1Zf9+Gd3uyy+hUSNo0ACefhr6+nXuiRxucZybLVNyauXHB0q9BqgmmVisxeakFyK0ONZoNJqa8J/b5YN4/AQtijWaSGAY0q8mMRGaNAnsHJcLNm+G5ctg+XKZr1gOq1dDdjYsXCCTNw0bwtljoFFjGDYMunSpfkdDpxP++1+46y5JLzkZpkyB8eOjsyUvMRlS0iHnkLhWtOlkTroxNoyiXdgSKugLFSVocazRaDQ1YehwmTQaTe3BYoGWLWU67XTP9uJiWLtWhPKyEsG8fBls3Ai7d8Pff8OCF+CuOyEjA4YMgbPOhkGDpKNqZSxZAnfcAd99J+tNmsDChXDMMSH7maaQ2dR8cWyV/iMWZVJn1xChxbFGo9FoNJqjm9hYcaE49lg473zP9txcWLkS/vxT3Ct++EF8m//v/2RY5wvOh6FD4ZwxMGKEb5ouFzz3HNx2G5xwAqSnw4MPwtVXR0eHwKrIbAr/LjO3U541TmYqut0qal0AwhdffJEWLVoQHx9Pz549+eOPisPZDBgwAMMwyk2jRnmCZY0bN67c/uHR5BSv0Wg0Go0mMiQnQ48ecN118MWXsP8A/DgXbr0NCovE4vz11zBuLNZbb/GcV1gIkybBJ59IJ8NGjcSNY+LE2iGMITSd8tyWY6oOHxhJasl/SPjwww+5+eabmT59Oj179uTZZ59l2LBhrFmzhoyMjHLHf/bZZxQXe75O9u/fT+fOnRkzZozPccOHD+fNN98sXY+Liwvdj9BoNBqNRlM7iY2FAQNkevxxWLECPv4YPv4I1+gzPcdNnw6LF8P69fDGGzBuXHT6FldGZjOZm2o5drtVRLc4rlWW46effpoJEyYwfvx4OnbsyPTp00lMTOSNN97we3zdunXJzMwsnWbPnk1iYmI5cRwXF+dzXB3vcGwajUaj0Wg0/ujUSTrWrViJGjmSuEOHML78Et58U0LMTZ4cvZ3uqiIUsY5riVtFrbEcFxcXs2jRIiZPnly6zWKxMHjwYBYuXBhQGq+//jrnn38+SUlJPtvnzZtHRkYGderUYdCgQTz00EPUqyQkW1FREUVeg3RkZ2cDEqPWbo/ur6FI4S4XXT6Vo8spMHQ5VY0uo8DQ5RQYupyqxvnzz3R+8UWM4mJcMTG4xoxBXXONuFXUQoz6jYgB1K4tOEz6DQYxxCCW40jcS4Fes9aI43379uF0OmnYsKHP9oYNG7J69eoqz//jjz9Yvnw5r7/+us/24cOHc9ZZZ9GyZUvWr1/PnXfeyYgRI1i4cCFWq9VvWo8++ij3339/ue1z584lMTGxGr/q6GP27NmRzkKtQJdTYFS3nAyHA1Vb/P1MQt9LgaHLKTB0OfnB5aLNF1/Q8ptvqFdYyP42bdjWpw9bW7aEmTMjnbsak3hgJ0MA547NzPzmG1Os3/WLltIHsFIckXspP8CRGg2lasd4wDt27CArK4sFCxbQq1ev0u233XYbP/30E7//Xvm49VdddRULFy7kn3/+qfS4DRs20Lp1a+bMmcMpp5zi9xh/luOmTZuyc+fOSi3ORzN2u53Zs2czZMgQPQpVJehyCoyalJOxYAHWEUNRJ3TFdfc9qFMG186mzgDR91Jg6HIKDF1OFbBxI9YJE8DpxDJ/Pv+efjpZr72GLT090jkLnuIibL1kuHj7DzshPXh9Y+xeQMw3A8i1NsZy4b9hv5eys7OpX78+hw8fJjW14oFNao0JpX79+litVnbv3u2zfffu3WRmZlZ6bl5eHh988AEPPPBAlddp1aoV9evXZ926dRWK47i4OL+d9mw2m640qkCXUWDocgqMapXT8mVQXIzx+29YThsFPU+Ce+6ToP5HsEjW91Jg6HIKDF1OJbhc0unu7bfh998hJQXHW2+xMi2NFunpR0YZ2WxQNwMO7MG2byc0qFxrBUScuLXGuPKwRuBeCvR6tUYcx8bG0q1bN3744QdGjx4NgMvl4ocffmDixImVnvvxxx9TVFTExRdfXOV1tm3bxv79+2nUqJEZ2daECqVkci8HOq/pPrPmVR1TXEzCnj0ygpO7+b+mea3OPsOQyt6sa6DAZUJ5KCVB+51On22G00HG4r8xrBawxlSRTsnysjKtRr//BqeOkBBLp54GQ4aWz1OgZed0Bvdb3cuxsVBUVPF5gaarFBank+YbNmBZu0bK0Iz702KRTkY1yE+5bampcPiwefd3vXqwb1+1z7c6nXTZthXrF5/7lpOB3MOl9zTVW/beltkQdvkadnyo6OOsou0NM2HvHtlvsfjO/W2rbF9MjMxtNrn/3EPXx8ZCjGfZsBhk/vMPhsWA+AT/x9tsEBcn/9vU1OqPIldbWLkSJkyABQugaVMZEOTll1HNmkXOjWLRH/DUw9C4CTz5onnpdu4OOzdB3iFz0svdBkC8OhzVwdxqjTgGuPnmmxk7dizdu3enR48ePPvss+Tl5TF+/HgALr30UrKysnj00Ud9znv99dcZPXp0OZeH3Nxc7r//fs4++2wyMzNZv349t912G23atGHYsGHVzl/MgH5S0QQrotq2g7VrgkvHvRwfL2PPB5sn97xbd/jrz2q/yGKU4lSXC4u7snfvO/Y4ES2BXr8y6teXl6NZ9OsPv/xsXnodOsCqVZUeYgOGBpJWs2awZYsZuRL6nww//2Reei1bwcYN5qTVtq0E2/ciBujl/+jqs3MnvPpfmWpCo0aShhkce6zEQjUBK9CkQ0es/51uSnqAjAR2+LA5aXXtBosWmZMWQO/eIlaqiQVo7m9HTIznQyBYep4kH2Nm0aMn/FG5K2HAxMZKrN4qiAF6BpJe337wyy8ijNPSoE4d3ym9zHrduuWPiVZhrRQ8/zx88IGMcJecDLffDtdcI/mNZMe7vFz49itoZ/Koe7kHYPNKyMs2KT2v91bedkhvYU66JlOrxPF5553H3r17uffee9m1axddunRh1qxZpZ30tmzZgqXMA7VmzRp+/fVXvv/++3LpWa1W/vnnH2bMmMGhQ4do3LgxQ4cO5cEHH6xRrGNj5SqxNgRLWjqsW2dCQsiY8wE6oAdEQQEcOlTt0wzkZV0Op7PW9uQNCPfHgGGAxQpWq++2MnMFuJTCYrXKrVTRsQkJ8gKp7Bi3pSiQfSkpIvKqc35lxzRqDFZLzc/3njdqLPex1zYFHD6cTVp6Gob7mS+1slVwjd27YNMm/BIbKx9+Ff1/KstjSoqMolXVeYGk26ABtGlb87LyOsalFAfz86nbpYvUizXJT9ltNpsIxuqmg59t6WkwYKApvxXDkOdh8JCqzykzdzqdrFm7lvbt22N1t9Z4p+3zO6q5XPq8JsJ551ElgRgBQJ7/MWM8rT1l5/62VbbP4ZB6uLhY5t7LxcXgsOMqKubQnj2kJydhcR9T9ji73fObXS44eFCm6uItrPv0gbh4OO44zwh2DRpUP81gcTjgxhth3jyxHF9xBdx7r1iOo4Gsknxs3yr/U+/7MRjiS+reQpN0xOb/lS5aFz8EA18zJ12TqVXiGGDixIkVulHMmzev3Lb27dtTUZ/DhIQEvnOPdW4Cjo8/EWEL1aqcy82tFk+TdDDpGIY8JGXFQwTmdoeduXPnMXDgQGyxsZ79ZfMXjIgCc39rRWUXaBo1wGG3M3PmTEaOHHlk+KyFCIfdzk/VLaeXX4Lrr/PddspguHeKvICPMJx2OytnzqTFyJFY9L1UIS67nX9nzqTtyJFYdTlViNNu55eSZ67K+6moyCOM3dOBA77rhw6WP+bgQTHAeAvrnBzYu9c3/YYNRSR3KhHLxx0HHTvKh2qoePRRMVrl5sKzz8INN5gnQM2gUZbM8/Ig+7BHiwSLWxwXmSCOD66E7XNKV41/34Qut0Adk63dJlDrxHE0o04eIH5vmvLY7RRkZEDz5mJ90mjCTXKyZ3nQKdIZr1+/yOVHozlSiYuDzEyZqou3sD5wADZuhNWrpUPt8uWwYQPs3i3TDz/4ntuihYjlESPlg/e448wRsIsXS8e7uDi45x6xGkcbiYlQtx4c2A/btpovjs2wHC95wmfVUC74404Y9lnwaZuMFscajebo4Myz5IXaoyf07x/p3Gg0Gn+UFdZlW3Vyc8WtYflymVYsh2XLYFeJ29TevfDNTLE+t2gBp58uU//+1TfMKAVjx4o4zsuDTz8VwR2tNG4i4njHNuhkUj7jEmReVBBcOrnbYN3/+WxSgLHpc9i1EDJN60ViClocazSao4PkZLjl1kjnQqPRBENyMvToIZM3+/bBihWwdCnMmQOzZ4tYfu45mdLSYORI8dUePDgwF4wLLpAP6sJCuPJKOP74kPwk08hqCsuXit+xWZhlOV7xArh8+xeV2vT/fgBGfhtc+iajxbFGo9FoNJraTf36cPLJMt1wg3REnz0bvvoK/vc/sSi//z5s2wYXXggjRsCZZ4prVbNm5aNj7NkjaWzYIBEqTj89Mr+rOjRuIvMd28xLM84kcVy4v5JrRJ87qhbHGo1Go9FojiwSE+GMM2RyOuGPP0Qoz54tluDPPxehfOmlcP75Ipy9cYfxS0gQi3NtwDtihVmY5VbR9yXodK24u3zfHQD7iJXYUrIgtuKR6iJFFAYS1Gg0Go1GozEJqxV69ZKIE3/+KT7EkyeL/3BsrMRSL0u9ehLLeM0a+OKLsGe5RmSFwHJslluF1Qb1T4D6nUV5WoD4ulEpjEFbjjUajUaj0RwtGAZ06SLT7t0Sm/nyy8sfFxcnA3x89RVMmSIW6GiPtBQKy7HZcY4NrxEPlMucNEOAthxrNBqNRqM5enA44M03YehQ+PBDuLWCjrrjx8uopitWwNNPhzePNcHb5zjQAWWqwu1WYZo49gqtp5zmpBkCtDjWaDRHB6tXQ+9ecMstEvZJo9EcfRw6BFOnwrvviuvEBRfAfff5P7ZePXjqKVn+4gvYvj1cuawZbnGclweHD5mTZukgIEH6HHuh3NZjLY41Go0mwnz3Hfz2Gzz9FLRqCZMmwY4dkc6V5kjFPTyz0ymWSqdTJpfLdyhnTfhYtEhCsn35pSe6xauvQqdOFZ9zySVw7rlSdzz2WPjyWhMSEmQgEIDtJvkdm+1WAR7Xiih2q9A+xxqNpvahlEd0uEWGt+jwN8/N8ZxfWAjPTYPpL8OoUXDNtdCyZflzKloOdn9Fx8ZYoajYlGtZnA5abNqEZdk/gGFOvq0WKLZ7ibsqzq1sW6PGMpJXZf+z6uxr314Ghyi7vaLlknmMUgwvLCTGZvPdD77nVTa578mKBO9JvaRzVyAEMjx9jx7Sqcxmg5gYmWq6nJAgy2lpkJ7umXsvp6VBUpI8c7URpWDGDLjxRmjXTn7PI49A69ZVn2sYIqg/+gheew3uvluGrzYrX3v3yjUaNDAnzVZtIb0O7N9b9bGBEJ8Imc0hOc2c9IBSu2wUW461ONZUTUUvp+rMi4qI37cPtmyRnsOl+1zg8v/SCmjuvQxSeQeThvc8LhbyC8xJy+WSl1BubqXnWJxOOq1fj+WHH6TCrOgaiYmQkwPUUJiU3deiBaxfX3NhUnZbRgbs3GlOWm3bikuE1zE24Awz7u3iYgnp9PnnNU8joyHs2W1GbmSQgX/+MSUpK5DVoSPWVStNSQ+QgRNycqo+LhC6d4e//jInLRDBs2ZNtU8zgDjzclEBfgRzhYcq37k/iookBq8ZJCVJM3wVuJ85lZJSuZBu0wbq1IEOHaBVq8h3YisogIceEjE8cKDUTdOnS14DZdAg6NkTfv9dfI8ff9ycvE2+HZ5+AibdDFOfMifN5ERYvA72mlQn2WLgwGZID2DQlEAp7ZTnMi9Nk9Hi2ESsl1wsFUGwYtItVCqwdFRrHh8vFV8w6XjTpy/M/7XaZWMDhvnb0bmzjGhkBg0ayFe4WfTvDz//bF56x3SA1asqPcQKtAkkrWbN5EPDLMz+rQ4HbNxoTlrFxZ6Yo6EkMVEsaYYhAwJYLP6Xy26rXx9SU6o+LpB9jbPkPq7suKrSKVl2AQdy86h7Uk8s1gp+V1Xplz3WFiM6ryZpld0WHy//10DLpqp9MTFSXxmG//MqWLa7nPzyy6/0698fW1ycZz/4Hl92gsD3ude969OyIriqufey20XD4ZBoCw5H5ctVHZefL764hw/7zr2XC8Tn1MjJkQ+kbRU02w8YAPPmybLNJmK5Qwc45hiZd+ggVv7k5MCey2DYs0cG7/jjD4lOMXQo3HZb+QE/qsIw4K67JK2XXpIoFnXrBp+/xo1lvtXM6BIlHegKTPp4spQIWTNbDQxtOT6qsHw7y2s8xCBQwN9/m5AQYq0sMM+RvtqUvByUxSLvVKsVw/sllZAAqamVvwgDfUGmp4tVIJgXrPe+5i3EUlbTfBl+8jdgQKV5cKJYv3ETrdu0xhpjq1xY2O01Kyd/8/h4uOrqmpdb2W1WC1BN4VXRfpDWBq9tdqeT2XPmMGTYMGyxsYHl+aWX4PqJvvdnZiZMvhMmTJAyOIJw2u2smjmTliNHYom09S6asdvJ2bRZRJsupwqx5+Ux59NPGXziidjy8ioW0k4nZGdLa09+vkR7WOXHKNC0qa9o7txZpsREczK8YoWEaFu/Xurep5+GgQNrnt6pp3qMOe+/D9ddF3wem7hDr5kYl9hdfoUmvfetJTLRZaY4jv4OeVocm4jjqadETNVE6PlYZ2xitQ0mnbIWEjPScn9tW60VW2TKzt1lY7czc+ZMRo4ciU2/gCrE5SVorLqcKsZux56aKs23gZaT93EZGXD7HXD11fKBptFoKic2luK0NLEEB/LMuVxiXXaL49WrPct794q1dOtW+P57Ob5PHzEKDRkiFtpTT625b++338qod9nZYi1+7jmxVgeDYcD118MzT8PbM8wRx01LxPG2UFiOTRLHbsuxieJYNejGgb3bSa2Ou1GY0eLYRNTYsRL6RaPRRB+nngpnnQU9esqLLSkp0jnSaI5cLBZx/2rWDIaVcarbv98jlt3zoiIRdF99JZNhiJ/v6afL1LGjj8HFL0VF4l/8+OPS8a5ePXjvPfPeyyNHwoQrJB+HD4ufdTCUjmi3Q1xcYkyQZCFzqzDPtc3IXUK9mP3Ytc+xRqPRRJjGjeGTTyOdC41GU6+eWIr79PFsUwqWLfOI4z//lPBpv/0Gd94pnfuuv16EcqtW5dP86SfpdOfu63DqqfDAAzI8tFk0aiQRLtavl+gjw4cHl17DhiKIHQ7pwOy2JAdDgtluFeZbjj0fOdFrOa6mV7pGo9FoNBqNyRiGRGu5+27pQLdtm0SVGDlShnLesEEG5GjbFs4+WzoQuzsofvopvPEGHDggluqvv5aYxGYKYzduQf9r9Tuml8NqhawsWTbL79jtJmaWOA5Fhzx356zKIrJEGG051mg0Go1GE11kZcFVV8mUmyuC9623RDR/9hns3i3RKFq1EmEdGyuuFy+9FFqXqT594e23YcF8c9Jr0hQ2bxb/65N6BZ+e263CrFB/oeiQV0r0imNtOdZoNBqNRhO9JCdLB7tZs2D5crjiChHHRUXiRmGxiEiePj30fQn69pX5779LxKBgcfsdm9Upz2y3ihB0yDMnrFdo0ZZjjUaj0Wg0tYNOnWTI55wc8fvdsQOaN5dY7W7/2FDSvr3EOD5wQEYp7NEjuPSamByxwuwOedZQxDmOfp9jLY41Gk10UlQkL7yEBAncP2JE1b3VNbUTl8szqEWg87LblJIBY9wDZAQ4WYqLafnPP1g2bJC8OJ1ynxUX+47YWNEIjoGsZ2SIC0Aw8b695+npkm5Skv8pMdGznJDgCcN5JJGSImHawo3FIn7H//uf+B0HK45Lw7mZ5HNsdpzjkFqOtTjWaDSa6rF+vXTMAemJfsIJMkrVmWdGNl9moJSvyPMercyfCPQ3VbHfKC6myfLlWLZuletVdl5FaXlvd7k84tPf/uoud+8O8+d7hG2wdO1ao8GTrMDxZTempUmoLrPo1w9++cW89I49VtwLAsVbLJcVz02aiL9uy5aeqUWL4MOUHcn06SvieMF8uPnm4NIKmeXY7A55Zo5SqjvkaTQajS9ui1plws/hkE4q3ixeDOecAw0bYhkyhAYtW3o816pKy3tKSpI4qzUQnH6PNwx5EQV6vHvujx49PB8EQRIDtGzXDuvataakV27442AJdFhwq1XCXVU2t1olzFaHDp71ACeXYbBr714ys7JkJEGrVaIjuAdi8p68rbn+1is6Ji1NBreozPrsXq5qv8slozl26AB5eZ4pP9933Vsc5efLtHdv+fJt0wbWrSu/vU4dH8FsadaMjL17xbe3TZuje/Ac74gV7iHLa4rZA4GY7lYRig552nKs0Wgqwp/1MD+fuAMHpOeyYfhaFMuKLLu9/HZ/lshA9qelSQeXmp5fdkpNlWbkis4Lht27sb77Lr1ren7fvuaEYXKTlCRixAyUktHHYmIqntyisIr9LquVwy4X6Z06ieirKp2q1i0WmbvT8t5fnbTcyxZL+bTcotW9XGakzVDgtNv5s2T0ziNqmG2XyyOKvUVzWSFdUABbtsCmTdK5beNG2LcPDh6UqcQabwV6ATz4oKSfmSmtOV27Sri1k04Kn/vGBx/Ayy9LJ71rrgnPNb3p3l0+oPbskQ+Ltm1rnpa7Q96uXfLBGGz4OdOHjw6FW0X0o8WxJrpwN/96iy73ctl52W3+BGMwy3XrwvbtVR9X1bp7uXFjidXpnd8y2ICAwsq3bQv//mteuZ98srgumEWjRlLZV5eyYiw72+9hCsjLyCCxWTP/wq+yyf1SD1RsVlec1vQctxg0Cafdzj8zZ9LkSBN9msCwWCTKQ3Jy9c/NyfEVy5s24Vq/npxly0jdvx8jJ0ee7/XrZajmhx+W+u3ss2HMGOjdO7Sd47Zskc54DRpERhzHxcHwEZCTLfVwMOK4QQNx04iNFcu+O+5xTUlIhF79oH5GcOm4MSzQpb+5H6mGdqvQmInb0ugtAKuau5f97Q80De95nTqeoS6rcV6M3c4phw4REx/vu791a1ixwrMtmB6xWVkiZs3CbMGYni7xOqtAlVjUDH8Cyi0Es7Kkgi67vaKpqv3168OAAdUXfdUVppVNZa2EO3fKC9ebunXh9ttxXHUVP8ybd+RZ+zSaaCAlBY47TqYSnHY782bOZOSIEdhyckQ0r1gBs2fLiHY7dsDzz8uUmSlDtZ9zjvhbx5gsNS65RK7z6afihhRsp7iakJgAX30hI/GNHFnzdCwWWLkcDh0K6P0QUHq//wLNWgSflju9ZT+bk1YpRslfLY6PCiyTJ0slEIgYrWx/27bwzz/+hW51SU2t0PpWI2rYscQA/NovGjUKrEJwizBvMVZ2W/360iu8ouMCXXav160rw4NWdVxF6/6EYxXn210uZs6axciRI7Ed7aIvPt6znJIiHV9uuklcQMyIL6rRaKqPYcjwz/XqiXvB2LESWWb2bPjkE/jyS7Eqv/SSTA0aSCfap56qmRXbH40awSmnwIwZMqLe99+bk251aNBA5v78uKuLu64zwxXC7NBr3gaLYP2rPYm6EzQhrdCgxbGJWF991ZyE3GF/AsWfULTZZEpOloekomP8nVPZMfXqSficQNLymjuAhX/9Ra9+/YhJSAjsXPdyGPwOowYt+jzUqQOPPAKFhXD99fLxo9Fooo+4OLGgnnqq+M3+8IMI5S++EPE4a5YM0GEm994rETt2746M9dgtjqvzrq4Idye6wsLg0zI9LnEIxHEteJ9rcWwiTrdVq6bC031MRdZRf8dbrbXiRlN2OwcKClAnnST51mgCYfLkSOdAo9FUh9hYiUk+YoQI4nnzxGXA7PdUq1YyIMjbb8OTT8JHH5mbflU0KPHpNcNynGBi+DVLiC3HZmCzouwG4DInvRCgxbGJuO66SyyrGo1Go9Ec7dhsEsIuVNxyi4jjTz+VzoGtW4fuWmUpdasww3Jc4lZhhjg2O7pEKMQxLgyLWS4aoeEIHDZHo9FoNBrNEc9xx0m/EJcLnn46vNc20+fYbTkuikK3Ch8BG70+wmajxbFGo9FoNJraya23Sr+UjRvNifYQKBkmulWYOapdqH2OjxK0ONZoNBqNRlM7GTgQmjeXeMsLFoTvum7LcXa2ROsIBjPdKmqDz3EtGD5ai2ONRqPRaDS1E8PwDOccTnGcnu6J3xys9TjBxGgV7oGEotrnOPrRHfI0mijDcDjg8OHS4aRLp4ICz3KbNtC5c6SzqtFoNJGnd294912YPz981zQMCS+5a5eEc2vSpOZpmRmtQvscm4IWx5rIcNVV8pU/YQJcdpl5weFDidPpEah5eb7CtbIpL086jBw44CtwywreggJi8vM5PZDBXm65RYtjjUZTuygqgtGjJW55MKPKlcVtOf7tN6mnQzl0tTcZGSKOg7Ucx0XxICBHqc+xFseayPD551Kh3HijBHO/6iqpMGv69a2Uf1FaVshWZ1vjxjJSoXtbMH5l6ekS67MKfALbGAYkJnqmhATPcrNmNc+LRqPRRILJk2VAkD//lA50KSnmpNupk2c02GXLoEsXc9KtCrMiVpjqVuEO5eYyZ9COULhVRHEINzdaHGvChuF0irtAcbEEindz+DBMnQpPPAEtWohFoWFDEahlJ7dw9bf9pJPEcmAWcXGwfbv/fd6itbIpKckzT0jwFbhlBW9CAnabjdnz5zPkjDOwJSXVikpEozlqUEoscna71GN2u//JLSJiYyXWb0Vzy1HU7eeHH8TYYLHAm2+aJ4xBrKUnnSTDSC9YED5xXN+kWMehcKsAEcjBWtFD6nMcvZZoLY415bHbJSSOv8luF/eA3FyPMPW3XGZbTF4ep1dleVVKrAkvvljzfIP0/PUWpmVFaiDbEhOl8nan5b0/Pj50otVux56cLMJcC2ONpmKUEkub9wdz2Y/nAPZZc3PpvX8/MffcI37+3iLXnwAOhH794Jdfqj7OavUvmnv0gK1bxUiQkeGZey83bAh169YOgZ2XJy50GzfCf/4Dp51m/jV69xZxPH8+XHut+en7w6xwbqEYBATMcTHRPseaWonDIUI0J8czd0+5ueIK4BazgU7FxRVfr39/+PnnamfTR+aV9qb1M3SkYcCxx4oVICnJ/+QWqf62JyaGz99Mo9FUD6WkTsrOliknp+bLnTrBwoVBZ8kC1LVapWWrRglYRNB6T0lJIl69BXZxcXnLm9MpU9nm9CZN4Pffq7621Qpnny11aa9eMnXtKh/X0YJScMcdsHmzuIPdd19orhOJiBX168v/KpB+IpWRlASNGkGsLfg8WSzQMFNeuqb4HRtQP1MW/b2za5pmlKPFcbhxWzvKVvTe68XF8iXqT+yWXa/qS7NFC9i0qWZ5tdmko5z31LYtpKV5BGlycuXLJXN7bCyzFy5kyOjR2JKTJTblTz95rhUXB5MmiU9aWlrN8qvRaEKLUlLvHDpU/alpU7HqBSsk/BEbW/EHdEXLJeuOuDj+WrmS7n37EpOYWF7ouq25FU3V+Rh3On3FckXzoiLYt0+iIOzeLXPv5d27xejhdMKiRTJ08iefeMqiWzePWO7VC7KyzC/zQFAKHn0UXnhBDB6PPmquO4U3PXqIMNy8WcrIbdUNJYYB27YF1J+kUlwu2LXTnEFMDAP27Ao+He/0DuzyLB8laHFsIpapU6Xi92fl8F6v6uVw3HHSqaA6xMRIpeOekpNlnpkp1t6yIreqKSnJ1y84WOx27CtWeFwS0tM9+y66CB5+WAK5azSa0FNYKOLqwAHYv7/iZaXk49otcA8frrn1KCHBt+5z11WpqZ55IMvuubuuSkz0xJutAcpuZ/fMmaghQ0TshhKr1dP3IFjsdhHQK1fCX3+JxXThQjGsLFzoa1Vv1kxE8qmnwpAhYtUOBzNmiKW4Z08YPx4GDAjdtVJT5TobN8K//4ZHHLvvl0DdbSqistbU6nIUCdhQosWxiVinTq3eCd4vB+8XQMuWImj9id2K1qOpGS0Q7rhDKq8rr4Tu3SOdG42mduJyiWjdu1em7GzYuRMOHMCyZw+dly7FOmMGHDzoK3oD9W1s1w7Wri2/3WaDOnXkIzeQKS1NpvR0T/1VG3xloxmbTZriGzWCU06RbUrBhg0ijN1i+Z9/YMsWmfbskTr36qvhttvEeBIqFi+GiRPF2DNmjFw31DidElpt//7QXwuiUxx7E6Wh11wNTmXnpsU0tNWNdFYqpNaJ4xdffJEnnniCXbt20blzZ55//nl69Ojh99i33nqL8ePH+2yLi4uj0Mu/SynFfffdx6uvvsqhQ4fo06cPL7/8Mm3btq123pzjxong8yd4y64f7S+Hk06SSaPReHA45MXuFrtVTfv3+/oV9u0Lv/4KgBVoUdm1rFbp0OU91avnu5yRIXWVW9i6p1B2StXUHMOA1q1luvhi2ZabK6HTFiyAH3+UD6NnnoGXXxbBevvtErbSbD74QKJGNGggnfDCgbtFMlg3h0AxWxyb4SMcyugSJqXnOuZJFm2Yycik6uuscFGrxPGHH37IzTffzPTp0+nZsyfPPvssw4YNY82aNWRU0ISSmprKmjVrSteNMhX61KlTee6555gxYwYtW7bknnvuYdiwYaxcuZJ4dw/SAHE9+aS8UDQajcZNQYH4iO7a5X9+8CDs2CFi9+DBmr2AUlNFhDRpAqNGQd26OOvUYe3evbQ76SSsGRnlBXBKytH9gX604O7jMXAg3HmnRHS4/36xKj/3HLzyClxxhYjkpk3NuabTCa+/Lh9vZobXrIpwi+MYk8WxMsNybHJ0iaP0I7hWieOnn36aCRMmlFqDp0+fzjfffMMbb7zBHXfc4fccwzDIrKDpSCnFs88+y913380ZZ5wBwNtvv03Dhg354osvOP/88/2eV1RURJFXWLLs7GwA7HY79mAfkiMUd7no8qkcXU6BEfFyKiyE3bsx3J2jdu/GqGiek1NpUqphQznWe1vdulC/PqpBA585DRqgysypX9+vW5Xdbmft7Nk0HzIEmz9fWnekhKOciN9L4WbQIBg4EOPHH7E89BCW+fPhxRdRr76K86OPUBWMXFetctqyhZjUVFSdOji7dAlePAaIJTUVK+Dcvx9XGK5pWCzEAK7iYpxe7//q3ksWpKXH5XDgDDbfTgfup91enfCDFWG3e9JzmJAekX3mAr1mrRHHxcXFLFq0iMmTJ5dus1gsDB48mIWVhPPJzc2lefPmuFwuunbtyiOPPEKnTp0A2LhxI7t27WLw4MGlx6elpdGzZ08WLlxYoTh+9NFHuf/++8ttnzt3LomJiTX9iUcFs2fPjnQWagW6nALD9HJyOok/fJj4/fuJP3CA+P37SThwoHQ5/uBBCurVo+HixdVL1majKD2dovR0Ckvmpet161KcnExxWhpFqanYU1JQVUVAKC4Wa/OOHVVeW99LgXFUltMtt1B/+HDaffgh6Rs28H1uLo6ZMys9JZByStm6lUEbN1KcksKsWbPMym2VdNy/n7bAxiVLWFHF7zCDpitX0hXYt3MHC72uV917qcXKlXQGdu3YwZ9B5ttaVMSpJcvff/cdjvjgOn8aTjunu9P7/nsccUlBpedNJJ65/Pz8gI6rNeJ43759OJ1OGpbpZduwYUNWr17t95z27dvzxhtvcPzxx3P48GGefPJJevfuzYoVK2jSpAm7du0qTaNsmu59/pg8eTI333xz6Xp2djZNmzZl4MCB1NNuFX6x2+3Mnj2bIRVZsTSALqdAqXY5KSWRFrZvx9i5E3bswNi+HXbu9Mx37IBduzCq6BST3KiRJGmzQWYmyj0gQ8OGsuze5r0vLQ2bYWADkk34/YGg76XAOOrLadQocanYto2hTZpUeFi1yunvvwGITUtjZAWW6FBgWbYMPv+cVnXr0jwM1zVypNW4flo6I0eOrPG9ZNklI7FmZmQEX15enW2HDhkCKanBpWcvhhdK0hs6FJKCD7UayWfO3dJfFbVGHNeEXr160atXr9L13r1706FDB1555RUefPDBGqcbFxdHnJ9mTJvNdnRWrtVAl1Fg6HIKjNJyUkrcGzZt8kybN3uWCwsDj/dttUov/qws6aiUleWzbMnKgsxMjPR0MIyoD2ev76XAOOrLqWXLgA4LqJxyc6F1a4zjjgtvmZYYpyzZ2VjCcd0Sq6zF6fC5XrXvpRLfZQsEn28vVymbOxZ3UHj8lm0xMaaGO4zEMxfo9WqNOK5fvz5Wq5XdZXzzdu/eXaFPcVlsNhsnnHAC69atAyg9b/fu3TQqsQa517uEa2x2jUZTNS6Xj/i1rF/P8b/+ivWll0QEb95cfpQxbzp0kHl6ejmxW245I0OPsqjRBMOuXTIwSYsW4b1ubY9WEY2h3HSHvOgmNjaWbt268cMPPzB69GgAXC4XP/zwAxMnTgwoDafTybJly0qbLVq2bElmZiY//PBDqRjOzs7m999/55prrgnFzzg6yM6WirFJE+kwdCRy8KAEml+7FgYPDm280KMFh0NitK5aBdu3w9KlvlZgr06wVqCcnctiEXHbokX5qWlT2af7BGg0ocftC+9ldAoL7tFVj2ZxHMpQbkcRtUYcA9x8882MHTuW7t2706NHD5599lny8vJKo1dceumlZGVl8eijjwLwwAMPcNJJJ9GmTRsOHTrEE088webNm7niiisAiWQxadIkHnroIdq2bVsayq1x48alAlxTAYcOwbp1nunffz3Le/bIMW++CePGRTKXwZGXJ79n7VqPEHbP9+3zHPf553A03y/33SdxUwcOlHI47TSJoFARBQWwZo2IYO/p33+loxlAmzZS9t5YLPLB1aIFrmbNWGu302bwYGJatxYB3KRJ6Ec402g0VeMWx6GIn1wZ2nJ81Fp6zaZWiePzzjuPvXv3cu+997Jr1y66dOnCrFmzSjvUbdmyBYtX3M6DBw8yYcIEdu3aRZ06dejWrRsLFiygY8eOpcfcdttt5OXlceWVV3Lo0CH69u3LrFmzqh3j+IhDKRlNy5/4Xbeu6hGIGjSovJk7WiguFmvl2rXlRfD27ZWf27ixjCBmxlCwtZnFi2Vo9K++ksligX79ZJTHY44RMewtgjdtqtiikZgo53TqJMOKe1t/s7JKX0ZOu501M2fSeuRILYg1mmgjUpbjcIvj2FiZR5M49kZbjmtMrRLHABMnTqzQjWLevHk+68888wzPPPNMpekZhsEDDzzAAw88YFYWaxcul4iVf/6R6d9/YfVqEcBVVTCNGomFr+zUurWneStacDjkdy1eDCtWSJP92rXy2yurkOrVEwHctq3vvE0bCa6vkbLwxuWCn36SqSLq1oWOHcUX2Htq2lQPTKHR1HZ27pR5pCzHhw+LMAy1FdVmg2OPhcZZwaUTGwvHdYaMhlUfGwidOsvcLLHd2uT0agG1ThxrgiAnB5Yt8wjhpUtl3XuQghYtfHv1N2lSsQCOVnGYlye/a/Fiz7RsmY/PKhkZHveP5GSP6C0rhOtG79jvEUEp2LZNRr1yT3/8Ufk5fftC166+IrhBA938p9EcqUTacux0ynsg1O8ow4AVy6GwoOpjK8PhgGVL5b1kRp5WLpVlMwwNhgEbl3qWjxK0OD4Scblg40aPAHbPN2zwf3xsrFjxOncWEdOsmUcAR7vLwL59HgG8ZInM1671/4WbnAxdusAJJ8i8TRsRwJmZR9VDXy3y8mDRIo8Q/v33gAaeACR+6jvvQJ06oc2jRqOJHoqKpK4dOjTg8HCmkZAAxx8v7lnZ2aEXx9pt4YhFi+PajlLiLrBkiTRj//OPWElzc/0f37ixVB6dO3vm7drVDr/NwkJYuFDcIr77Tn7ztm3+j83M9Ahh99SqlW6yrwylxK3G2yr8zz/lhxi2WuW+OekkmTp2hO7dPfsTE+H552H8+Nr30WG3y32WkhLpnFTMwYPR/cHh7q9QWwZEyskhcccOGbjC4RAf+YICuQ/KLhcWSmfT/HzP0N0NGniWU1Nr3z1vNn/+KcaYjAzpJxBODANWrpT/YzhdAI72//kRiBbH0cCOHeLfe8wxVYs3h0Mqnp9/hl9+gV9/hb175UXk3UkuLk46NXkL4eOPrzyKQLRRWCiWynnzYO5cEWtFRdCtm1gz3bRp4xHAbkGsQ6tVjcslgmDmTI9V+MCB8sc1bgy9ennEcNeu5UOiNWsGW7bI/+a99+SDq7ZQXAxz5sAnn8AXX8ANN8CUKZHOlS8HDkjePvwQfvgBli+X+iJacLnkHvr8c5kSE+XDKhpQSurGdeskxOT69Z7ldeuw7dnDCZ06YVuxIrD0Tj65Yn/62FipY/v0kXqpf3/o3VtE89HCzz/LvH//8ItGpeQdCeEx+GjL8RGLFseRxuUSh/6DB8Vfqk8fmfr2FWtcURF8+qnEef3jD5g/v7xVOD5e0ujdG447zmMNjqll/96iIo8YnjdPrMRlI140aiSif+xYEcKdOx9dL55gUUoE8XvvidByuTydZ0DupW7dPEL4pJPE77wq3ntPxNDll3t6cEczRUUwezZ8/DF8+aV04HFTpmNvxDh8WPL24YeSV+8e8XPnRl4cFxdLPj7/XPK5a5dnX3y8DNrS0KQORoGQny+tZsuXlxPAVDFkrAJUVhZGQoI0zcfHy9zfcnq6fAzu2yeGCfc8L0/K5OBBua8AHn1UDB6dO3siuIwaJekcqfzyi8z79Qv/td3CGMIrjoP9CNAiO+qoZerpCMVtLT50CL75RqbKSEsTAd2/v1RA3bqJpbg2sn+/vEiWLIEZM8qL4YYNJX7ugAEyb9tWN2HVhLVr4f33RcSuXevZnpYGl14KJ54oQvj442smbt0fddFMYSF8/73cb1995SuYGjWCs8+Gc86RD9NIkZMD//ufCOJZszxxn0H+N+eeK1PbtpHJX26u5Ovzz6We8v6oSE2FU0+FM8+E4cPD02F33Tpp+Zg5Uz5qevTwiLOyNGki/Sjc/SlK5vZmzVgwfz4jR44MbijbggIRylu3iqubu3VvwwZPv4i33hLL8kUXwaRJR16HX4dDDDgg76dw4/0BWRtcBcui321RgxbHkcZikZfxl19WfIxhiHi5+GKpcI49tnYPb5ufL+Lk//5PXrQOh1i9CwvFT23AAI8Ybt9eVxg1Zft2EVnvvefrhhIfD6efDhdcACNG1N4Pq0AoKBD/9I8/FtHpHZmlcWMRw+ecI8I+Uv7oeXkiND/8UESe9wdihw5w3nkiiN1DYIeb4mLJ28cfy8eFd9SXzEw44wwRxAMHhr7VoLBQRKdbEP/7r+9+mw2GDSsngGnZsuLOxcHGqHWTkCChCJs2lfrssstk+/btIpJ/+UXifM+dCw8+CNOmwY03wk03RbcPeXVYulSesdRUacUMN+EWx2ZZjjVRhxbHkWTtWvjoI3El8EdaGjz+OEyYUPs7kjkcZPz9N9aPPpIPgbw8z74TToCzzoJXXxUBoCuamnPggLjhvP++WNLclbfVKr3HL7hARrGL5g5nZlBcDM8+C3/95WniBrEennMOjBkjlvJIPldOJ0yfLqLpww8929u2FUF83nniQhSp58HpFEvnPfdIx6q//pLtrVuLGD7zzPCU4aZN8O23IoZ//FE+rt3ExEjr2ciRMkVj/ZGVBeefL5PLJb7j998vbkhHmkh2W+379o2MASdS4lhzxKHFcbg5cAA++wxeeEG+siuie3cRkeEOom42W7fChx8S88QT9HLHFQaJHHHhhTJFyiJ2JLFrF7z2mrxsvZvi+/YVQTxmjPSoPxr47jvpVLd2rbRENG0qv3/MGGl2j4YPzT//hGuuEYt+TIwI4rPPFkHcuXPkBd68eSLWliyR9TZtRNCdeaa0XIU6f4WFMvz8J5+IIPamcWMRwiNGwODBtavPgcUihoDRo0UkT5kiftIPPiguIhMnitXZTU6OuKdE+n4IFO/OeJHA7XNsGOEV57Xl/6MJGC2Ow8WePfDUU/DSS/JyWbpUXoqDB8tLcdIkjzV1zBix2JSNCFCb2L1bOqO8/DJ06ICxZw9FaWnEXHQR1osvFouTrlCCx+WCV16ByZPF/7NtW2nevfBCsVQ1bx7pHIaPjRtF0LldlBo2hMceg0suiR43pIMH4a67xGKslLQOPfIIXHVVdORx/Xq49VbxKQbJ3333wXXXhaejpcMhsbGnTJHoJz17iqDs3dtjHT7++Npfd3iL5M8/l9CH778vhpMZM+Qj6c034corpeyffTbSOa4ap9PjvhWJznjgsRyHy99Yd8g7YtHiONRs3w5PPikCpqBkFJ3CQnk5jhnj6ZAxe7a4WNxzj7wYosG6VRMOHoQnnpCmQnfzZ1oajo8+4juLhRGnn461NnaUiEaWLhVR5XbL6d4dnnkmsh3KIkF+vrgfPf64+MNarWI5vu++6BnGXCl491245RbPyIwXXyx1QzgjOlTE4cPw0EPy3NrtUoZXXy11UTjCPyolIvHuu8UvF8Qd4aKLxKWitrsbVITFIsaR4cPlt375pXzUfv65vA+Ugtdfh4cfhqSkSOe2cj77TD5oTj3VN+55OAm3ODab2v7RdwRRSxVYLSA3V4RKq1by1V9QIE26//ufhNK66irfnspvvy3h2h54wL8wLi6u3A0j0iglv61VK7EY5+dLJ8Lvv4d581CjR6MiHVrup598/RVrK7m5IrK6dRNhnJIilqfffgutMD5wwNc3NhpYtw5OO02em6IiOOUU8eV8+unoEcaFhfJMXHqpCOMOHaRT1jvvRIcw3r4dbr9dhLrdLkLtn3/E9SscwvjHH6Ul6eyzRRjXrSsf2P/+C9dff+QKY2+SkqSvwE03yfqHH3qsibm50oE5mlFKWmlA6qVIhXOsrZZjTdShxXEo+Ocf+XJ++mlp9u7bV/wgf/tNvqr9PUhxcRI70x9bt4oP18knVzwEdCQpKoIrrpAICK1aidvI55+LcBsyJDoqjunTYdAgsdaVHfGtNrFnjzQ1P/WU/I4xYyRs1MSJoW2WP3BAXIDOPx/eeCN016kGcQcOEDN0qMRpzsqSjnezZ8uIfdGEe1CRVq3EhWLJEonGEg3k5Ejc3VdekYFeZs4US204yrCoSAwIp5wiMdyTksRyvGGDfPxF+9D1ZmO1SqQNf8/xu++GPz/VYc4cMfokJEhdFCkiJY41RxzarcJMlJKICzfcINairCyxBpx2Ws0F4vffi//o/v0SfH7zZnnJRgu7donFZ8ECsXife6682KLBfxLk4+TOO6XJHcSa6HJFT/6qQ3a2tD7UqycfUi+/LD6YocYtjBcvlg5uPXuG/ppVUVhIj8cew9i2TQbDWLQoOqywZXn9dakTDANefFGsstGC3S4fV+6hfv/v/yTkWThQSgaM+fBDuZfPOEN8saPxf+hm3z6pOzIyQpf+WWf5/3j/7jv5MA7VtYPFXb9OmBDZUVgj5VYRDQYgjaloy7GJGK+8Ih0oCgulJ/WSJWJNremD88MP8jLdv1+G7P37b4klGi0cPCgvtQULRLh/+600z0aT8HzpJU/Fff/9YvWsrf5oN98sH0f794ulLRzC2OEQ0eIWxj/+KOHFIolSWK+5hrpr16Lq1BF3nmgUVX/9JZ2pQKIRRJMwBnFZ+O476fj79dfhE8Yg5fF//yfLr74Kzz0Xnf9Db+65R8LYPfhg+VFKzSAuruLRKJ1OaS2KRv76S95VMTFSR0WScItjiwX69IWOQdaJcXHQu0/FrcfVQSno0VcmlwmWbZeCY/vKdBRZyrU4NhHr1KnQooX4Xn39dXBf0MuXiwtGhw7yNT5/fnhfXoEwfrx05GnXTlwohg6NdI58WbAA7rhDIji89Rbce2/t/cL/3//ECmkY4p8eLiHx7bdi3evQITqEMcC//2J88QUuiwXn++9LmLFoQynxEy0qkpajyZMjnSNfNm2SfhCJiRIl4cQTw3ft99+XzpIgH6/RVm/4w+EQY0durtQjbdqIq5ZZA4iA9B1YtUrqrdtvLz88+NSpsGKFedczC7fx4YILIh8dJ9zi2G6H+b/CmtXBpVNYAAvnw7at5uTrj19lspog8Qxgxa8y1dZAATXg6PmlYcDIzpYe3rffHtxNpBRce61YoNu0gf/+V0Y1iybmz5ee1f/+K72U27WLdI7K88gjEh6vf38YOzbSuak5OTnygQRimQlnDNH33pMWguHDo0MYQ2k0ly2DBqEGDYp0bvyTkyMWRpDnN9peKosXy0fWMcdI61a4KCiQjrEA//mP576OdmJipM774ANxa9u9W+JUjxghcYrNwmIR3+/HHhOhvGaNp5MeSL+JlSvNu16wrF0rroMAt90W2byAdFzv2VNaWsOB2wUm2Odbd+yLOqKsxq7duDp3lgo/WN55R0YaSkyUKATRhlISCxXEbzBaRJM3S5bIkLwWi3ys1GZWrJBRBNu2lXBb4SIvz9NL/oILwnfdqtizByMnh/2RGJ42ULKzZR4TE53uAltLLFThbo1avlw6/9Wv77E41hYsFok/vGqVuIHUqyf++L17S/SRUNCunXTs3rJFPmT27JGO2e7BWSLNE0/I++DUU6UjdqTJyZFWzE2bwnM9l0vmwboSmimOjyLXh1CixbGJOJ99Vl6GwaCURLUAab4zwwfJbHbtEr/X+Hix4kUjy5fLx8Xo0SIqw8VLL8nL69VXzUtz1SqYNUtaEcLZgvDvvxJGq2nTyMUt9ce+fQAURfPIaDk5Mk9NjU5rkFscN20a3usePizzzMzo6ptQHWJjxV972TJ5PnJzxYL8v/+F7ppNm8Kvv0qYtH37pO+JO755pFiyRFxAQNzXogG3L3hKSniuF+2W42ise2oJWhybiRmWrPx8iUIAEgs5GvnhB2lOO/746B3e+uuvpSw7dw7vdbdskSFUzWxqdccMdQ+NGi727YMdOyQ8UzRVsnv3AlAcrhdgTXBbjqM1j25xnJkZ3uu6xXG0xKAOhkaNpHXqjDPEt/zMM8UNKVTUqyd1b+/ecOiQRJBxu6iEmx07xJd+5UrxH+/TJzL5KIv7ozQ5OTzXUyWWY0sUWY41pqDFcbQRF+dZdjfZRBvucELuEf+iEXfHkBIrY9jIypL5jh3mpenuXFJcbF6agdCli1Taa9d6RnWLBtq1Q0VrSCs36ekSTSQxMfwfNYEwapREXlgdZEei6uIWx9HWh6KmxMdLfG13/PSLL5aOeqEiLU3Ce55yilhJ775bOhuHk9xccaNwh1G88cbwXr8y3OL4aLYca7cKU9DiONqIifG4ZhQWRjYvFeEWJtEkmMridqX499/wXtctjrdvNy/N1FRpVg1F+KjKqF9fWgcA5s0L77Uro04djD17aPLzz5HOScU0bw5//ikuMe+8E+nclCcjA9avl0gkJZb4sNCnj3SY+vtvj5Cp7dhsMGOGdKJWSsJFvvhi6K6XlCQtY7fdJq4W48dLK2NRUeiu6cbpxHrxxdKhs0EDsZxH0wiG4XariEafY2+02K4xWhxHI26rSrS+PNzieO/e6B1tzh3eK9ziuGlTEciHDplnWe/fX158ixbJSFThxB1X+8cfw3vdyihxN2oxa5ZEDYhG4uM9HUEfeCD8Vv+qGDpU/FcLCqRTVbho1Uo6sR08KMNVHylYLDLc9v33ywipEyeGdiTJ+HgZkvyBB0QA/fe/0K+fuHWFkOPeeAPLzJly/a++isyAVHv2SL10wQXlhVu43SrMthwT5W4VR5HbhxbH0cj113u+yqORBg1ksJM6dWSY6Gjk2GPhooukGXf+/PBdt3t3sRquXi0vLjNITJRhm0GsReF0txk1SoYA/+47c63hwTB0KK4TTySmuBjLM89EOjcVc8014tO7aRO8+Wakc+OLYUiTPIg4njUrPNe12STEIsigFrt2mZv+vHkSDzgS1i7DkIFC3AO/XHGFxHQOFRaLXO/bb6FuXWmp6NpVhlAPxeVeeIFW7nfSO+/ASSeF5DpVsmuX/J9/+KG8WNOW46PW0ms2WhxHI1lZYpV97DFPx55owmYTgbx/vwwVnZ8f6RyVp3596ci2b5/EUg1HkyNI5eaO9/nEE9L8aAZ33y0V/uLFEms1XAweLFbwTZs8fpWRxjBw3XUXAJYvvhCf6GgkMVEG/4iPF3EcrvBSgeId3/jUU2HhwvBc9+yzxbUiL8/ce/mvv8SiePvt4jISCQxDLOJXXSUi5ZJLJB58KBk2TFqVunWTOvmccyTevln9HpSCp5/GUhKm1PnII3KNSOF2A2rQoPw+7XPsy1Fk6TUbLY6jkSuvlPiWe/eKFSQamTxZXAg2bxYRH408+aS4gKxaJU2Q4eKMM+Tl4XSK9ciMDlkNGnia6Z9+Wl6C4cAw4N13xc9x3rzwlmMlqBEjWHvWWbBxo4TRMtsCaRZXXgljxkjYrSFDostP32LxjMLmdELfvtI8H2oMQ+IEz5plbmeu9HTPciQ7/BmGhHS85BIp13PPlU502dlyP7z9tvnXbNFC/I8nTJBBRF55RVwebrwRdu6sebp//y2hKf/zH9SAAWwaOhSXGbH8gyEQcRwut4potBxrTEGL42jEZvMIzqefjk7LWFISuJu0p06NrlGb3NSt6xlE5ZFHxBcwXDz/vLid/P23p5yCZdIkefktWiSCMFw+6e3aycseJK51ON1UKsIw2HD66TKIxYYNEhkiGn303b6hzZvDunUy0mA0tQZ5CwyXSyye48eHPhJNjx5i8TRTDLg7jWZmhj9EXVksFvE5Pvts8Tc/4wwZ3e7VV8Xdxh21w0zi4+Xj5vbb5UOnqEg+Qlq1klH2Nm8OPK2dO+Gyy8RN7JdfICEBdcYZLL3qqsgLOLc4rl+//D4d51i7VZiEFsfRyujR4u/ZtatYHg4dinSOynPWWfKy79lTlqOxc9SYMRKPs3NnseaGuMNKKZmZ4lNptUrsU/dIc8GQlCQvuXr1xL/wtNPCF07vkkvEhzshQUR6OD80KqAoPR3H//4nAm/xYrkHo63jG4ib1OzZnnyecUb0RKLx16rx1lsSVSIvL+zZqTG7don/7aBBMg92MCYziImRZ3/4cPl/L1ok2/PzpTUmVAwcKLHWv/9erMiFhfDsszBgALRvD2PHSiz9xYvBbpfWjD//hE8+kTrrggvkg/jNN0VoXXghrFmD69pro2PgFnd4zmhwq3BbjqNJHHsT6Q+ZWowWx9GKYUjT2Nq1sHSp+ARG28vKMKTDycaNsGaN+KeGO65wVbjdAvLzJXLFySeHz/dz3DixtC5ZIgMEvP568Gl26CCd41JTZQCAMWPCIwgNQ16oZ5whvp39+4tFKdK0bSsdV5OSJJLHlVdGp0Bu21bcCFJSxMI5YUJ0WLor8iFfvFhGmawNOBwyrPOuXfKBPnZspHPkITbW/7DKr7wSWgufYYgbz/z5Ul+MGyeGgbVrxa3j2mvF8NKliwxv3qOH1CW33CJ+4PXqybYFC+D//i/8IylWRmVuFW7LsXar0ASJFsfRjNvilJ4uldyZZ4avY1mgpKdLr+FGjeRlOniwhGqKJlJTPcMvb9okAnnDhtBf1zBkWNXx46USveIKaWIP9qXYrZvEOU1IEGF4+eXhuS9SUiRcVd++0iw8dGhoh8wNlBNPFKvX8cfDF1/IPRhNvr1uunaVFoRRo+SDrWfP8A/CURZ/lmP3C/rCCz3Wzmjm0UfFApqcDJ9+Kh9K0cJ//+s/ZN2yZfDbb6G/vmHIc/rmm/JMzJwJ994r29LSxJJsGDLSaa9eEhXn9tulE+HChbIt2qjMrSISHfJiY30H76oJSonANsMyr1wQY5XJjA8wl8np1RK0OI52OneWCi0pSYTy+edH34hbbdvC3LligVi6VCwWBw9GOle+NG0qFrt27cSCcvLJ4gMaamJixGJ8xx2yfued4pYQbDi2fv3gs8/En3DOHGlKDabjTaCkp4sl6tRTpbn2zDNlAIRIM3y4iBCXSyza3buLv3e0MWCARB5p3Fg6ivboIYI+Ung3Bw8cKB+6CxdKB68NG2So4uefj96X4i+/SOvMwoXi49u+faRz5Iu7z4M/wh3nuV496atw//3yDB84IHVTQYGEaVywQFoCH3tM3jvBugqEisrcKkDEfrjEscMhLVXBPh8ulwhtM54zw5C0nE5z/oeGAS6nTEaU3hMh4Oj5pbWZXr3E4hQXJ5Xa2LHR0STrTfv2MlBEgwYiSsaPl+FFo4msLBHIHTpI3oYPD49lzDDEuuXumPfcc+K/G2zz//DhYhEqLBRx0K1beMJxJSaKML/0UqmAx42Dxx+PvIAaMgT++EM+gLZuFb/ZUMaZrSknnSTPSP/+8hyfeaZEFYjER+8dd8j/b/58eX4HDfKMYDd6tNyjN9wg/vrR1u/h0CEJL+hySZ04Zkykc1SeV16RZ71hw/L7PvsstL7HVWGxSKfhYK2e4aYitwqXSwwESoW/Q140uVVEuh4+QtDiuLYwaJA0HffsKZ08evYUP99oomNHsTyddpqI+a5do2tkNRD3j7lzxWKXnCwuAq+9Fp4KZdIk8d+z2cSvb9So4D9y+veXzjSdOsmL4eSTpUd8qLHZRJi7wzp99pl05Im0gDrmGAmbNnKkfDRceKE0E0dDfGZvGjYUi/+kSbL+3HNSplOnijC128OTj7PPlv9j796+2+vUkf/ptGmSr88+k+c53CM0VkRhofhtHz4srSfPPRfpHPmnd28RwDt3SifWp5+WutzNJZdIZzlN4FTkVpGd7anHvcP6hRKzxbHp1nrtw1xTtDg2k1Bbc089VUKSeTfJRoPPpzfHHSeVfefOUokNGSLNdOEc1a0qGjYUF5WsLM9LduzY8HR4vPBC8Rd2dyC78ELxPwyGNm3EYnz22SKqrrxSBgEIdcc0i0UGOnn3XbHAf/ihdPBZsCC0162K9HT5OJs8WdanTpVnJ9pcfWw2aU146CHPtttvlxaAlBSxMF9/vXwUR+L5MQyxGs+fLyHz3P6rp50mnUwjRV6e5OGTTyRfn34q/QqiGcOQuvGmm8SAsGaNJ8833ywGj3DjdEpL2vvvyzzaPiD94XJ5YryXtRy7P8zj48NnDdeW4yMWLY5NJGbgwNALg169RIj07StfyqefDvfdF13is1UrKQd3R7TJk7Gecw4x7p7E0UBqqnxYPPqoiLx33pGPjVWrQn/toUPFen322SKUu3WTfATTrJ6SAh9/DA8/7Il0Eg4/ZMOQZmO3gNq8WazZDz4Y2Zet1Sofkh98IB0XZ80Sy7Y7Fm40cdddIoK9KSoSC/gLL4i7QLiGd/bHiSd6XKUMQ+7ZE06QCBHh7lCYkyOtAnPmyAfms8/KB1lto107eVaOP17EzEUXhXfY688+E7/ygQPlA33gQFn/7LPwXL+mHDrkqVfKWo7dsaPDZTUG88Sx+/2tQ7lFDVocm4ixaZN0lLr77tA2i2ZmivVh4kRZf+ABCbEV6SZtbxISpLPHf/8LsbFYvv6ak2+5JSri45ZisYjP5Y8/irvFypXSkSscfoAnnijC5/TT5V65807xkQ1GnBuGpPPNN9ITfcEC+T0//GBeviuiZ0+xJl50kbww7r1XXrjhiitdEeedJ+UwZoz46w8cKFb1aBqIA6RzVqNG/vdlZMj/MZKkp0u9tnKllCnARx+JO8+4cRLOMdQcOiQflj//LB+3338vbkRmEAlrW3q6hMy76SZZv/12sdSH+qPys8/Eh7xsn5Dt22V7NAtkt0tFSkp567D7/VcbxXHI3Co0NUX/J0zEde658gX48MNi4Q2lVSU2VnpCv/WWVBJffy2Wz2iKTWoY4rIwfz6qeXOSd+0ipl+/0AyfGgwnnywvqVNOkXjIl1wirgmhHmAjM1MiFcyYIWL2jz+I6dGD1l98EdwLcsQI8UPu2FGsQYMHy4dUqN1+UlPlw+Ltt8Wf+5dfxL3m009De92q6NJF/MqvvlrWX3lFRN3MmRHNlg+xsXDrrf73de4c3rxURvv2Yo1fulQ+7FwuuX/btZOR37ZvD8119++X5/O338Qf+ocfyvtJ15R//qHv5MmwY4c56VUHi0X8kJ9+WupLd0tBqOoep1M6f/r7GHBvmzQpel0s9u0Tdzh/cZePBHFstluFKZbjo9NNQ4tjE3G+9JJYU+rUEdeHrl3hxRdDa5UYO1aatJs1k9BkF18sVqhoCvfWvTuO335jd9euGAUFEoD+iis8vmPRQMOGYlm87z6pUF59VfylQ23pNgyJ+rB8OQwfjlFUxLFvvYX1lFNk0JKa0ratCIkePWT9xRdFEH77rTn5roxLLhErco8e8sI65xz52MjPD/21KyI1VQYxmTsXWrcWq9moUVL20XIfTpggQ56XZfZs6Wj4+uvR4z51/PESC/f33+U5cThg+nTxf7/lFvn/m1Xv7d4tFv+//xY/03nzzLOkK4X12mupt3o11nPOCd+Ik2W56Sbx2Y+Lg88/lw/aUNyXv/xSeRQhpSTSSzQM8OOP3bvlAywtrfy+SIrjYEdkrC2DgER7/kxEi2OzGTNGOlgNGSIV7cSJ4iMXSt/Pbt1k1LIbbhCLzq23ilUl2I5eZlKvHr/dfTfOe+4R0fT662LZ/OCD6OlAYLVKzNTvvpOm7KIiKds77wz9S7NJE5g5E8f06dgTErAsWCAWw+efr7kgSkmRDl9z5og/8Natci9ecknoRzJs3Rp+/VXcVtwfG2efHfloBwMGyAfPzTd7fM07dpTOXZEmOdnX9/jCC0V8dukinQmvuELyHw6/+EDp0UPcG+bNE7egwkL5v59wgtxzkybJSI41/VjfvFk+YvLyxO3kp59EmJuFYeCcMYPilBQsf/0Fl10WufpozBjPoE8LFsC550q9biaBvofCETO9JuzaJfPMzPL73OLYn3AOFaZZjk30OTbdcnx0osVxKMjKkg4006aJJWDWLOmp/PnnobtmgwYihF5/XSqHP/8Uy/V990XPqHoWC6577pHe+R06yIhNF1wgPc8j7ZvqzZAhsGKFNN05HNJZ7rjjQu+7axioyy5j7rRpuAYOFEF+ww3SnByMT+cpp8iHklsQvvtueD5MbDYpuzlzJGburFlStuefH5kmbDeJifDUUyJAOnaU+3DMGGl9ibRP/PXXSz5OOkn89Xv0kGf5yScl325XlXvvFSEaLZx8suTtxx/FxSIhQYTttGki6DMzRXg+/LD8ri++kBavyoZyX7FCBPeiRdIa99NPUm+YTevW/HnbbaiYGHkmHnnE/GsESr9+Ui4DBoil/KST5OPcrDq8Ir/2mh4XbioTx7W5Q572OY469H8iVFgsImwWLRLLz/79cNZZ8oIIle+nYUj6K1eKGHE4pLNe167hGao0UHr3Fh/fKVNEQH3zjTT5P/989Pi61a8vHVM+/1w+dtavl6bOSy/1dAoJEQUZGTi//VZcIRITxSp37LFiOdy2rWaCNinJIwg7dZLfcMEF0pEz1IO1DBokvvHXXy/PxYcfipvAtGmRdf9xD3Zxww2yvnWrCM8mTaRcrr9eQtV98IE8x+GwKNarJ4Jx/nzPMMgxMRJPeuVKsaLa7RIN5MwzpVzDFRO5KgxD3B/efltaJr74Qjrr1a0r9d+GDdKp76qrJO99+0oHTn/89psIxe3b5QPmiy/EVShE7DvuOFzTpsnK3XeH1pBRFe6WjOHDpT589FGpw//4I/i0+/WT+7sii6JhiFGgX7/grxUK3BZtf+I9km4VlijyOfZGW45rjBbHoaZTJ2kavf12uVHffFNewPPnh+6ajRuLsPv4Y3EPWLlSBOlNN4Unlm8gxMWJVXvJEslbbq6IlL59xWIULYweLeU3caL8/955R6xXM2aEVixZLOKb/c8/8qLKz5dWgaZNxSrXsaMIpeuvlwEQDhwILF23ILz/fvkw+d//5B595ZXQ+rOmpUk+//xTrKE5OdLk3r17eEb1q4i4OBHpH3zgsf5s3y5xkl94AW67TT4iuncPz+AqIPeZPwtS8+by//r4YxGh330n4dXc/sihjmtdHRIT5QPjzTfFT3TuXOkPcdll0lJ00kkS8rFly/LnzpolrR0HD8pxP/8sgi7EuCZM8Li1XHxxZGM516sn8Yc//dRTh/fqJe+RYFoMrFa536G8cHKvP/ts8JZQb157TTprmlGegbhV1GbLsY5zHD0oTdAcPnxYAWrfvn2VH/jTT0o1b64UKGWxKHXnnUoVFYU2c/v2KXXppXJNUKplS6Vmzw7tNf1QXFysvvjiC1VcXFx+p9Op1IsvKpWSInm02ZS6916lCgvDns9K+e03pY47zlOWgwYptXatqZfwW05Op1K9e3uu62/6z3+qf7Hly5Xq2dOTxqmnyrZQ43Qq9corStWp47n2FVfIvRogld5PNWXdOrn3Kirj778371rBkpOj1BNPKJWR4clf8+ZKTZ9eWqeEpIxCzXvvKRUTI79n2DClcnNDfkmfcrLblRo8WK7ftKlSu3aF/PpVsm+fUhde6Pk/H3OMUgsWBJfmp58q1aSJ7/3dtKlsr4Aa309du0r6L74YXJ6VUqp7d0nrq6/K7zvzTNn38svBXydQbpqklBWlJt+hlAqijB55QKl4lJp4VfB5OnRQqUxkMuPZLypQaigy5WUHn56KbN3k1muHDx+u9LhaZzl+8cUXadGiBfHx8fTs2ZM/KmlqevXVV+nXrx916tShTp06DB48uNzx48aNwzAMn2n48OGhyXz//tJh7tJLxUr3yCNimfzpp9BcD8QCMWOGRClo1kx8V4cMgcsvj564yG4r6cqVYlWy28UdpEuX0FrYq0vPntK8/thjMgrTjz+KL/Ijj4TWamexiD9nZc3KI0ZUP91OnaR8n3lGLH1790qrxnXXhbbDnsUi0SvWrBFLIoh1qX37yEZkaN0a7rnH/74OHeT/Hy0kJ0tUiI0bJQxYZqb4+F59tUSMeOml6OlrECgvvihuFg6H+KV/9ZXHtSRcxMRIxKG2bcXN5swzI1+O9erJsPNffCH/59WrxRf71lsDbzEqy1lnifvO3LkyOt/cuXIvnXWWmTmXvP79t5TruecGn14gbhXh7JCXlgY9TxKf+GBISoaevaBeg6qPrQqloFsvmcywIrsUdOgl09FklQ6TWDeFDz74QMXGxqo33nhDrVixQk2YMEGlp6er3bt3+z3+wgsvVC+++KJavHixWrVqlRo3bpxKS0tT27ZtKz1m7Nixavjw4Wrnzp2l04EDB6qVr4Atx958/LFSp53m+WofM0apTZuqdd1qk52t1MSJvpbP119XyuEI7XVVNb4UXS6lPvpIqYYNPfm85Ral9u8PeR6rxbp1Sg0Z4sljp05KzZ8fdLKVltO8ef4tmu3bK7VjR3AX3rJFqbPO8qSZnq7UM8+EvmVDKaV+/dXXIt+ggVITJogVe/duv/dnyCwP+flKtWjhv5wbNBDLrN1u7jXNID9fqWnTlGrcuDS/rqwstfSKK1RxFRaSiONySUuRu5yvu05aF8KE33tp9Wp5BkBa3lyusOWnUvbv97QEnnCCUsnJSt16q1I7d4b80jV65u6+29MqFSxOp6dVYevW8vvdFuqZM4O/VqBcd41Yjqfcp5QKol568D6xHN9wTfB5OnjAYzk2o64qzFdqGDLl5wSfnqodluNaJY579OihrrvuutJ1p9OpGjdurB599NGAznc4HColJUXNmDGjdNvYsWPVGWecEVS+aiSOlVJq716lrrlGXCxAqfh4eUmEuinxl198hdAJJ4jLRwip9sNw4IBSl18ulWGbNtIEP22aOc1EZuFyKfXuuyKaQKmOHZUaO1Ypr4+v6lJlObmbDstOyclKPfKIUgUFNb62UkqpH39UqnNnT7rt2in19dehFwfFxUo99ZR/twbDUKp+faU6dFDq/POVKiwMbeX66ae+17/lFikH9/qxx0aXi4U3BQVKvfCCT5O5KzNTPnTy8iKdu/JkZ4thoGtX+T9PmRJ2IVrhvfT990pZrVKOjzwS1jxVya+/+j6ncXFKXXttSA0s1X7mXC5x4wOl3n8/+Azs3ev5vf4+2kePVqpvX3F/CxdXXyni+MEHlFJBiL4H7hVxfON1VR9bFQf2a3FcCYGK4yAjV4eP4uJiFi1axOTJk0u3WSwWBg8ezMIAO/Tk5+djt9upWybQ/rx588jIyKBOnToMGjSIhx56iHr16lWYTlFREUVeTW3ZJUPR2u127NXpOZ6WJp0jLr8c63/+g+Wnn+CBB1BvvIHzkUdQ550Xmt6mPXvC229jOekkLA8/jLF4MZx8Mq6zzsL56KP+O8kEibtcAi6f5GQZtGHsWGKuuQbj4EG48UbUiy/ifPxx1MiR0dET99xz4ZRTsN55J/z+O5YZM1Aff4zrP//BdfPN1W4WrrKcHn6YmK+/xijZ75w2DePdd7H8+SfceSfqlVfk3jnnnJqVT9++8NtvGDNmYL33Xoy1a+HUU3ENGYJz6lRxxQgV118PgwdjKzsinFLi5rFvH6xahf2ee7C3aAFU436qDqeeinXQICw//ojrtNNwPvww3H8/lldewfLggxjLl8PQobhGjMD52GOhCS9WU6xWcVkZOxb15ps4HnyQxF274KabUI8+iuvmm3FddVX43RX8sWYNMWPGYKxejYqJwfnOO6hzzw17BJMKn7kBA7A89RTG119jufNOnIcO4Xrwweiod3r0gD/+wPj2WyyPPYblt9/gpZdQ//0vrgsuQJ1+OqpPH4m6YxLVrcONhQuJ2bgRlZyMY8SI4KOqbNmCDVD16+MwjHLpxcybh3HoEPbExLBFcLHa7VgAp8XA5fX+r269ZLHbsQJOpXAFm3eHHVvJot1uD94Vwl4mvZjgy7am5WQGAd+/StUOJ5IdO3aQlZXFggUL6NWrV+n22267jZ9++onff/+9yjSuvfZavvvuO1asWEF8fDwAH3zwAYmJibRs2ZL169dz5513kpyczMKFC7FW0AN1ypQp3H///eW2v/feeyQmJtbsBypFo4ULOfbNN0ksCRW2v0MHll1+OYfbtKlZmgEQe/gwx7z/Pi2+/x7D5cJps7H+9NP595xzcCQkhOy61cFwOmk2Zw4d3nuPuJJYlns6d2b5+PHklIikaKDO2rV0euMN6pUMG15Qty6rLrqIrQMHmhq/ssM779Du009Zf9ppLL/8cnC5aPLLL3R8+20SSkbV2t+hA8svv5xDQdw7Mfn5tPv4Y1r9739YHQ5cFgubhw1j9QUXUJyaatbPKUfytm0MvPFGLH7C+u3o1Ys/b789ZNd2E3v4ME1++oktp5yCw0tI2nJyaP/RR7ScOROL04nLYmHT8OGsOf/8kJZJTTHsdprOm0e7jz8mac8eAIpSU1k3ejSbhg3z+W3hpNFvv3HCtGnYCgoorFOHP2+7jQPR9JHhRdtPP6XjO+8AsHHYMP658kpzozkEi1LUW76cdp98QsbSpezr2JH6K1cCkN20Kfs7duRAx47s79iRggYen1bD6SSmoICYvDxs+flkN29uaj11/PTptJw1iy0DB7L4xhuDTq/BkiX0njKF7GbNmPvcc747nU5OP+ccDKX49q23KA5TxIoTnp9Gs3lzWXHJpawbXXN/7WM+/D/af/4xG4aPYtm4CUHlyZabzchbLgXgy5c+DTrMnMVRxGmvngfA11e8j9MWHbqgpuTn53PhhRdy+PBhUiups48acfzYY48xdepU5s2bx/GVjLC0YcMGWrduzZw5czjllFP8HuPPcty0aVN27txZqcU5IAoKsDzzDJapUzHy81GGgRo3DucDD8gQx6Fi2TKst96K5ccfAVCZmTgffBB1ySWmVJh2u53Zs2czZMgQbDZb1Sf44/BhsZI8/zxGcTHKYsF1+eW47rtPwh1FA0phfPYZ1jvvxCgZuEN16YLziSdQJ59c5ekBlZPLJR07O3f2/d/k5WF5+mksTz4pw3QDrksuwfnggxLer6asX4918mQsX3whvyc9Hdfdd+O6+mqIja15upVgeeABrA89VG67q2dPXM88Q3HnzsHfT8Gwdi3WO+7A8vXXAKi0NFx33YXr2mtDVibVxedeAoz33sP62GMY69ejSuLZqn79cF14IWrgwOCHwA0EpxPLffdhnToVAFffvjjfe89/aK4wEcgzZ7z2GtbrrsNQCteYMTjffDNq/s/eGH/+iTFnDpYPPsDwM5Kiq3t3jB074PBhjDJhPe27d1fasaxadXhxMTHNm2Ps349j5kzU4ME1+j3eGO++S8xll+E65RSJA+/NgQPYSu4he16ehKkMA9bLxmF5/z2cjz6Oa9JNNX7PWR64B+uTj+O8eiKuqU8Hl6mD+7F1lg6L9o0FwX/IFeZjG5Mu6X10ABKSg0sPk/RADcnOzqZ+/fpViuNa43NcVFSkrFar+vzzz322X3rpper000+v9NwnnnhCpaWlqT///DOga9WvX19Nnz494LzV2Oe4MrZu9Q3fk5qq1JNPhraDlMul1Jdfio+v+7pduyr1889BJ22qj9H69Uqdc45v2Tz+eHSFfisoUGrqVMmbO5+jR1cZ+s2Uctq6VamLL/ZcNzFRqQcflE5bwRBOf+SCAl8/X/D4f4Jyjhmjvn/55ciHKfvhB98yad1a/CvD0Mm1KvzeS3a7Um+/rdQFF/iWbWamUjfdpNSiRaHz+d2717cT66RJUdGHIOBn7sMPPT7xw4eHJcxcUOzdq9Tnnyt1881KnXiiPD8jR5b36U9IkP9/FX0lqlU3ffWV574y61l4/HFJ85JLyu/7919P34twctEF4nM87VmlVBD19z2Txef4lknB52nfXo/PsRkdWwvyTPc5dq46XR34uY0qPvSXKelVhyO2Q97EiRNL151Op8rKyqq0Q97jjz+uUlNT1cKFCwO6xtatW5VhGOrLL78MOF8hEcdufv1VqW7dfAXJN9+Yfx1vCgtFiHsLu3POUWrJkho7+IfEAf/nn33LpmVLiQISLT3LlVJqzx7pKOMWdjExSt14Y4XRN0wtp99+U+qkk3zjmL7/fnDl43Ao9eqrvvF1hw4NTXzkuXN9o4GsWyc99Q1DBHJMjHJMnCgiIJI4HBL1JTPT02O+Qwel3nknopEtKr2XXC6JlXvttUrVq+crljp0UOrhh80Vf3/95Ynxnpgo8YyjhGo9c7NmSf5BYo9XM7JRRMnJkSgcixbJs7R3b7WMLdUqp/POkzK66aYgMlyGm26SNG+9tfy+P/7w1HHh5LwxIo5feF4pFUT9fdftIo5vNaG8aoE4di1qpdRClP1A8Ia36nJEiuMPPvhAxcXFqbfeekutXLlSXXnllSo9PV3tKgnUfskll6g77rij9PjHHntMxcbGqk8++cQnVFtOjvyDc3Jy1C233KIWLlyoNm7cqObMmaO6du2q2rZtqwqrYYUMqThWSm7w11/3FSSjRoV+wIbdu5W66ipPNA33lJSkVKNGEkKsRw+lzjhDKttKCFnvVKdTqbfe8glhpfr1k5dxNLFiha/Vpk4dv6HSTC8nl0sEcdOmnmv36iUfOsFw+LBSt92mVGysx6p7553Bh5Qry403ihjxHvRgyRLlHDrUt+Xg4YcjH40hO1v+p+4QYCCtMK+/HhELacD3UlGRWPrOPVci5oBEYDEjzy6XUq+95nk+27RR6p9/gk/XRKr9zM2f7/kfH398WMKoRQMBl9Phw577yMx6eNIkpU4+Wan//rf8vlmz5HqdO5t3vUA45ywRxy+/pJQKov6+8zYRx7fdHHyevMWxGYYib3FcYM4HsxbHIeD5559XzZo1U7GxsapHjx7qN6+wLSeffLIaO3Zs6Xrz5s0VUG667777lFJK5efnq6FDh6oGDRoom82mmjdvriZMmFAqtgMl5OLYcyH5arbZlOrfX0TrZZf5j/loJkuXeqwlFU0vvVRpEiEP3ZKbK2HwEhI8eRo7Vqnt20NzvZry3XcSCsxbPH3+eWklFrJyyssT1wr3/zHAlpQqWbdOwgK2aiUW3YQEpe64wzyLWgWVe3FxsZp///3K1aWLpywbNw5b3O5KOXxYxLq3RbZ5cxm5K4yuPzW6lw4dUuqNN8wZzSw3V5rAQcJFjh6t1MGDwadrMjUqp6VLpaXA7UqzYUPoMhglBFxOr70mhpz27c1txevXT8r7gw/K73v/fdk3YIB51wuEM88QcfyqCPYa19+TbxVxfMctwedp7x4tjivhiBXH0UjYxLGbtWs9Lx2Qr/TbbgttE9+ePWIx9ieM69ev8qUXtriGW7aU97d97DGx6kULDodYP7wHOjn5ZKX+/DP05bR9uwzdbDa//CIWaffvSU+Xcg+RNbe0nAoLJda0u8ne7YIRjtjMVZGTI+5J3v/nrCyJ1x2s/3cARHT46JUrJe43yEf8o4+GdWCP6lDjclq3zhPHt1Gj8Ay9HkECKie7XT74rVal3nzT3Ay0aiVl/csv5fe9+KLsO+ssc69ZFaeNEnH8xutKqSDupdv/I+J4sh+XkepiujjOPSrFca0bPlqDDG369tuwYAH06weFhTB1KrRqBU88ASWRCkylQQN4913/+9LTwU/P6IjQtCm88w78/jv07i1DEt9xh5TNtGmRHwoWpPfw/7N31eFRXF/07G4UCO4Q3N2Du7sULy6FQinFKf1RrFhLKRQoUqw4xYoWLe7uGtw1SCC29/fHYTIJJCE7OysJOd+3X7K7yZs3b56cd9+953bpAly5AgwZwlTUu3YBPXrA9OWXiK+kSLUF0qalDq7eKFuWqaj/+YdayC9esN2zZQOmT7ed7qjRyJTDly4BEyYw2v7cOaBuXaBSJSCK9PI2R4IEQN++TMs7eTKQLh1w9y7w7bfUEv/lF+D1a8fVz1ZYvBgoXpzp4NOkYZr1QYN0lQlzCmTNCuzdC+TLx7TG5ctz3vmcsXgxcPUq14QvvtCvXBGOHYDj6EMoabQ/yGFgcyhyk9YqQiiiYbpoaIv6qzNocsdQxLLZ6jNDqVIkVevWcYJ+8QIYMADIkQOYO1cduHqhYUOgZcvwnxkMnAxLl+b37/U1HY4SJbhwDR3KzcSTJ0Dv3iTL8+fr3zZa4OUFjBpFYterF3D4MIzLl6Nyjx4w9uihLgYxBQYDUL8+Zeb++gvIlImkoXt3JspYsoQydLaAuzvQpw9w7RrHgLs7x0avXkCDBsDx47a5bnTg6ckEJ9euMbFNxozAw4dA//5so9GjgfeJhGI03r0DunXjZuXNG6ByZeB9gqFYi7Rp2c9KliRBq1IF2LbN0bVyDIKDgZEj+Xv//twc6oVnz1TDRkSylM+f82cUUnQ2gbKOWCuDqJDj2LaBjMGIexIxHQYDrWQnTwLz5tFyeucO0LEjUKAAsHatOvD0wOTJ4TWFFy3itYxGWg3z5wc6dABu3dLvmlphMJCwnzsHzJzJSfXmTaB9e2oE//OPvm2jFRky0Kp98iTMtWvDaDbDNGsWra4DBqhWkZgCkwlo0wa4eBH4/Xf2l2vXgFatgCJFgI0bbdfuSZIA48YBly9zM3T0KMdA0aLsCydP2ua60YG7O8njlSvAnDl8vk+f8vQgY0Zg2DB1kY9puHaNG+QZMzju/vc/YMsW22qzOwuSJiUhrl6dm4I6dYBlyxxdK/tDsRonSwb06KFv2YqhIHlyjqMP4SjLsZLN0VrLsWI00MPS6wxrWixAHDmOLTCZgHbtSAp++YUk4fx5Ws3KleORtx5InhyYNYvXa9GCluTZs4GzZ4FGjTjI582j9bpvXy7+joarq+rGMG4cj/zOnSNZKl2alh9nQMGCCFmzBntGj4a5TBla4n7+mUfwP/0U847g3d2Bnj1JnEaOBBImpFW5Th1aE/XqkxEhQwZg4kQ+59at1c1b4cJA48ash6Pg6soN5IULdFXKnZunPsOHkySPGAH4+jqufpZi82Za6E+c4PywaRPvwZmyyNka8eNzE9a0KZODDB4MfP+93VNhOwy2tBoDUbtUAI63HDuVW0Uc9EAcOY5t8PAgKfX1pZ+fpydJSNmy+rk91K8P3LtH314FuXMDq1YBBw8CFSvyCOzXX+nrO2qUcxC7ePFoifX15eLl6anWt1Ytx1oVw+BZnjwI2bED2LCBFu6XL4EffqCP4++/O4fftCVIkID19/XlwunhAezZwz5Zrx5w+rTtrp0zJwnouXO0XBsMwOrVQKFCQJMmtr32p+DiQuJ+5gywfDlPXV6/plU5a1agalVg6VJukpwRIjzxqF2bpwHNm5Mg16hhWTlv33KuunrVNvW0F9zd6To0ZAj9zMeM4TO0ZQyBs8CWVmNAJceRZfp0lOU4XTqgWHHOadYgUWKgSFEgUSLr6yQCFCgKFCxmfVkADV7Zi/L1GVml48hxbEXixJycr1yh1TSs20PnznS9sAYpU0bsZ+XjwwCcf/8lAXn5Evjf/+CSOzcyb9wIBAZad109kCQJ/TyvXaM/rIsL61u4MAnUyZOAv79jrT4GA0nH8eNceLJmBR49ooUuVy769DqD37QlSJaMgaNXrzIo0GQC1q9nP/nySz4PWyFXLroAnTvHEw+DgZu5ggVp7TtzxnbX/hRMJtbh5Em6IuTMyfpt386TmXTp6CLiyDp+iMBAPsPevbl4duhAX/706S0v65tveKLTsaPtfNLtBZOJRH/pUm4Kd+3ivPLff46ume0QHEwDCGAbqzHwacuxo8ixry9w9Ij1pPH5M+D4Mf2MSKeP8aUHDAbg6jG+DJ8PZfx87vRzRbp09LcN6/Ywezb9lPv1Y6Ca3jAYaD06doyWlKxZYXj4EAVmzoRLgQIke86wCKZJA0ybxuNtJdBwyRIuZvHj8/jbZKKFOVEiHtVv2mTfOhqNrNuFC1R9SJMGuHGDLjQFCwJr1sS83Xy6dPRNPX8eaNaM9V+6FKhWjRu3Gzdsd20lMPDMGVo6DQZgxQr65zdrxnHiKBiNtDRu3sxFd+hQks1nz2ihLVCAgV9//gm8euW4ej55wmf155+s84QJnFMi8gWNDoYM4XjbsweYOlXfujoKzZtz/sufn8GXVauSQDrDvKc3liyhEcZWVmPg0+Q4XjwGpdubHJsVtwprA/LifI6dDXHk+HOB4vagyL8pi1rmzFyEX7zQ/5pGI610588j5Pff8S5xYhh8fXmUXLo03QacYSBny0bCrvhMhoXZzGPtly+B27cdR55cXYGvvqLVddw4VbKsUSOqlsREy1SOHAxcOnaMVsjr10mysmfn+5s3bXftvHlJyE+fptUWAP7+mwS0eXPHq65kykQf5Bs36LLQuDFPOA4d4klQmjRAp07AgQP2HUNnz1IJZvdu+pCvW0eVEGsW9cyZeaIA0OpqyxMEeyJHDrptKRbx//2Pp0GPHzu6ZvrB1r7GCqIixyKMITh7NuYG5NlCrSLOf9kqxJHjzw2K/NtPP1E54PVrTm5ZstAN480b/a/p5gbzV19h2/TpCBkxgouqhwet12XK0A3DGVCoEAlwmjQRf58oES2bjkRYv+khQ/j+0CHKZnXuHDN1VosUoQV//35aJIODGfSZPTvVHWypfJIvH/19T5+mLqsI3+fLp1rsHQmTif7wK1fSFWr8eJKuN2/om1y6NOu6bp3t67JsGcnd9et08zlwgO/1QLdu9P3396eLhj1chp4+tf0mKF48bvjmzuUJ1ObNPJnav9+217UX7GE1BqImx/7+qrtesmS2q0NE0CsgT0+1ijjogjhyrCdslehAbxgMXHCPHuWRcu7cjPb9/ns1WYYNgoBCPDxgHjSIxK5cOS4WBw5QG7RyZduqF0QXHh5cwCI6Ig4K4kLn72//en2IxIl5THvtGhUhEiak/27Jktx0OFLXVytKlaLP7d69PIYOCqL7RbZswNdfc+NiK+TPT8vxqVO00iquHm3a8P2+fY4/5UiVita5ixfpgtCuHcfQ+fO2XVT9/WnJb9GCJyvVqnETliePftcwGlV5u2fPgO++s217v33LwOLSpWHYvdt211HQvj3bLGdOEr0KFXhy5+g+ZQ0CA6lKAtjWagwwAByImBwrikhubnTPsScUy7FeOsd6ulU4MdEW11R4E5IKztz748ixjnApXZqR8TElUMpgYMT+mTMM8MqShUFfvXvTajdzpm0If7JktFZfu8ZgHDc3ugWULUtL1DGdAgm0In9+9ZhXgclEktC/v3OpRqROzbqcOsW2M5norlK0KF0uHKnGoBVlygBbt/LovnJl9sE//iBx6tHD+mDSqFCgAK20J0+y/YKDqW5RtizJ+99/O16ey2BgfebNoxLCrFlAzZq2udaZM0CxYryGsqnesME2Fjola+C5c+zTY8fqfw0F797xfvz8YKpdG2n37rXdtRTkzw8cOcJNRnAwYz4aNbKNS5s90LcvTx7r17et1TggQHVFiYocJ01qf0Kot5SbsycB0al9DeYHiO/2EAYnJvCwUzrrWI3QXN3s4iK5c4ssXy4SEuLoqlmGwECRGTNE0qfnfQAiWbOKLFggEhxsZdFR5Jy/eVOkSxcRk0m9bqNGIqdPW3VNq2A2i9SsqdZnyhSRefNEMmVSP0ufnu0V0T1pRJTtFB1cvizSurWIwaDWs1kzkfPndauj3bFzp0jFiur9uLlJ8Ndfy79z5mhvp+ji7FmRTp1E3NzU62fKJPLbbyIvX9r22lbCqr5kNotMnSri7s57TpNGZNs2/SsZEX77TW3rOXNsdx1/f5HGjUOvFTx+vO2uFRZms8i0aWqfypxZ5NAh+1zbCoTrT3Pnqs9o7VrbXtjXN3Tci9n88fdbt/L7vHltW4+IkCOriAki+/eLiBVjrlsnEQ+IjPvJ+jrduyOSGiLpXawvS0TkzUuRmuDrnb8uRZpPZhY5DAl6vkeX8ixBKF/z84vy7+LIsQ5QGvvZkCEiSZKok0bBgpw4IhrQzoy3b7lApUyp3kuePCIrVmi+l2hNGleuiLRpoxI7g0GkZUuRS5c03oiVuH+fRKhYMZUABwSITJ8uki6d2jZZspA4BwVZfUmrybGCc+dEmjZV62g0inz5JclzTMV//4mUL6+SGVdXCe7ZU+TePdtf+8EDkf/9TyRZMrVNEyUS6d9f5PZt219fAzT3padPuTlV7rN2bZFHj2xTycgwcCCvbTKJrFtnu+sEB7MPKffau7f9jBpHj5IYe3qKZMwoMmCAyJs39rm2Bij9KWj/fnXTNHy47S+8Zw+vV6pUxN8vXcq6lC9v+7p8iCwZSY7fb240j7mvOpIcjx9tfZ3iyHGUiCPHdoTS2E+ePBF58ULkxx9FvLzUCbdECZHNm2MeSX71SmT0aJHEidV7KVJEZONGi+/FokkjImLXoYPI9eva7sMaBAdHfK9v34pMmiSSKpVaz5w5RZYssWpx1Y0cKzh1SqRhQ7WOJhPb0tdXn/LtDbNZZPt2CSlTRr0nDw+Smvv3bX/9N2+4OcqRQ72+iwut9ceP2/76FkBTX9q9Wz05cnUVmTjRMfOW2SzSrh3r4ekZapmzBQIDAuRM+/bq8/ziC45ve+D5c5FBg8KfSmzaxO9+/10kRQrOt06AwMBA2TRvnpiV/lG/vn02EosX83oVKkT8/dSp6mmjvZExPcnxsWMiYsX83bUDyfHPY62vk0KOvV2tL0skjhzHQTvCkWMFT55w0osXT534ypUT2bXLcRXViufPaTVLkEC9lwoVRLZvj3YRmiaNEydE6tVTr+nqKtK9u8idO5bege3w+rXIuHEiSZOq9cyfX2T1ak2kQndyrODoUVoAwxK6WrV4QrBpEzdv27aJ7NhBNwZ7EE0rEBgQIHuHD5eQ0qXVe6pcWaRHD/tsokJCeCpUoYJ6fUCkUiWR9eudwqXKor5kNrMflyvH+8iePXTBdxgCA9U+mzSpzVyDQi2i8+dzjlHm6qdPbXK9CLF2rYi3t9qPmjThyYRyQnHliv3qEgkC37yRx3nzqoaAT5AL3TB2LK/55ZcRfz9yJL/v3Nk+9QmLdKlJjk+eFBEr5u/O7UiOfxlnfZ3u3o4jx1EgjhzbERGSYwUPHtCqpRxDASLVqokcPGj/ilqLR49E+valpa5sWZUM7Pl0B7eK9B08yDZT2s/dXeS772jZdhb4+YmMGCGSMKFaz6JFLbay24wcKzhwIHxbRvZKkkRXX2q9EdpOAQEiW7aIVK2qtr3JRPecs2ftU5kjR+j+E9ZnPlcu+qP767OYaEG0+9Lr1/RLB0Tixxfp1s15/Klfvxbx8WHdvL1t4sISrp127FD7Ue7cjIewF1694lphNH48HvPlY1s4EIr7idnLS+TCBftduEcPtsH330f8fe/e/H7gQPvVSUHqFCTHZ86IiBXzd6e2JMcTdPB7V8hxBjfryxIJT44D9DlRiQnk2MlDI2MBUqUCJk5k8obu3ZnMYetWSm7Vq8fEEzEFKVIwmvzaNdbf1ZUqE+XKAdWrU5bNFvDxocTXzp2M0g8IoGyZtfns9UTChBT5v3FDzfh17BgVJNq04TN3BtmmkiXZlps2RR0ZnSqV9fJE9oDBQGmxLVuYLbBaNUaQL1hA/d8GDZiIwZYoVoxJZHx9GcGfMCHl1r76CsiYkXVxVly7RhWO5cv5vH/+mZrTXl6OrhkRPz7Hes6clPKrWZOyk7ZCpUqUEkyXjhrXJUtSCcYeSJCAa8WePR+PvbNnqWPuqDnkr79gmjIFABAydy7TsdsLis65t3fE34dVq7A39JJyU3SO9VCrcIZ1JhYgjhzbC+nTc9G5dIki9yYTJ/0iRZh84Nw5R9cw+kiblovo1avUP3VxIfkrXZpk8MgR21y3QgXKe23eDEyZ4pzkLUkS6g9fv06iVLAgsGgRNw/lygHbtzvH5FWzJjczkUkQ9e7t1DqZH8FgILHZsoX9r0kTfrZ2Lcmf8p0t2z5DBm4eb9+mhm2GDJSgSpTIdte0Bps3A8WLU64tVSpudLt3d77nnjw565o2LefJ+vWpU2wr5M/PsZE3L6XyypUDtm2z3fU+xJkzEcsFLl3Kjbe9sWwZMHAgAOBi8+aQ+vXte32FHGfIEPH3Cjm2dwIQQH8pNz3HnrON4xiGOHJsb2TOTLH78+eBVq3YgQ8cIElu2ZIWp5iCDBmYpOHyZaZINZlokSxRgguYLaziBgOJZvXq+petJxQr+8aNQK9eTCqybx+TW1SsSCu4o1GiBDc5EaF3b5L7Bw/sWiVdUKwYk9ucP89+6erK9q5Rg9/9/bdttcgTJmRK5WvXqJFct67trqUFIkxBXrs2rbA+PjzlKFvW0TWLHBkzAv/+y43G3r3UCrZl0iVvb16nYkXg1SvqOy9caLvrhcWvv0b+3ZgxnAPtceL46hVTlLdoAbi5IaRXL1xq3tz21/0QSvIfZyTHCRIACbysJ8du7kDiJPoYfESAREkAr8TWlwXQqp0gCV/OYNixE+LIsaOQIwctikra2sBAWgby5uUx/JUrjq5h9JE5MzPHXbwItG3Lo6F160j4lSQjnyvSpmXGQSWTnZsbrd+VKvFlj+xcUaF374/JW7ZsTJLw669MDBNTSXKuXOyX167xPuPFY+bAZs2Y3W32bDXtrC3g4gI0bOhcwv6vXtHdY9AgLnqdOzOdfETJFZwN+fPzJMDdnf2xZUvbJuJJnJiEXEna0aYNkwPZmiBElJ3zQxQpQgOErVzZDhwAChWiIcdgAFq1gnn0aPv35TdvmDERiNytQvneEeT46VPg9SvrSe1bf+DFc/361svnwBs/fcoyGoA3z/lyprnMxvh87tRZkS8fydOJE/SPNJtpociViylHr11zdA2jj2zZgPnzefTZsiUn1VWrgAIFYGrVCl62TP/r7EiXjlm/rl1jKmTFmlmhAtNn2yNDV0QwGIC5c1VyVLgwXX82baJF8e1bkuTMmWkNjYkk2dubvpw3bwJDh9L15fJlEsMsWfjd69eOrqXtcfo0LedbtpBIzJjBzHfRIWPOgvLlmaHv7FlmMqxdm4TfVnB3pxGjXz+6nvzyC8myLfvLiRN053j2jNcJCOC6IMKsgXnycNyuW0dXtooV2RZ6uJoEBwPDhtGVxNeX1tqdO2mxdnOzvnxLoawZCRNG7p6ULBmQKZNjfI6d2a3CmWH2509ntkTbKUAwViNKtQpLcfSoSN264XVpO3aMmbq0Z8+G0ys2GwwS0qKFyMWLjq6Z43HzpshXX6nSUe9VTIJ277atWkVkOHyYGQEPH1Y/M5sp86aoBYTVFLZH4o0oYJWqx6tXIhMmiKRNq95X0qTUJ3/wQPe6OgrhFD1mz+azA6hjHAMyskWJbdtUacmiRa1KUhLtvjRvHiUQFSULR85jFy9yXVDmjwwZ+Hxr1hSZPNky6beXL0XWrOF8lCGDqpbRujVlPN/D5ko6EWHzZtYlsux3wcFq0ihHjF0T+Hp/bc1t1LoZ1SqmTra+TrdviKSBSGYP68sSEXnjJ1ILfAW+06fMwxA5DAm+NUKf8ixAnJSbHaErOVZw6BB1aMPq0nbpInLjhn7XsBdOnZKQBg3CJ/Vo21bk6lVH18zxuHGDz1VZdAF5ULiwBO3d6+iaqTCbRf79V6RkSachybos1O/eicyaJZItG+/Jy4uasi1akHw5gVaxNQgMDJR1S5dKSJs26nOrVUvk8WNHV00fHDkikjw57ytHDs1zo0V9ad8+dVPl5SWyapWma+qG27e50Qurkay8smUT6dlTZOhQalhPnUqCv2IFkxWNH09t8LAbdECkfXsm3vgADiHHSoKPqlUj/v7xY7Xe9jYohISo5Pj9mNLcRq2akhz/McX6eoWSY0/ryxLRnxy/81XJ8ZXW1pdnIeLIsR1hE3KsYP9+kerVwyfC6NZN5NYt/a9lQwQGBsp/EyZISJ06vI8UKWj56dBB5No1R1fP8fD1FenUScxhtXJr1w5vyXU0zGZackqVCk+Sv/3W7iRZ14U6OFhk2TL2xbAkIUsWkZ9+Erl71/prOACBp06JX4YM6oZ09OgYT/g/wsWLtHYCTOmuQdva4r50/364NOYyaJAuqeOtgtlMrd3x46k9r2y2FT36D18fEuKsWUmk16+PNIW1Q8ix8my9vSP+/sIFNVGKvREYqJLj9xZ2zW3UognJ8fSp1tfr1nXnJse+nUPJsfloIpFg++p3x+kcxxaUKkUZo7176ZsaFARMn07/3p49gbt3HV3DaMMva1aErF4NHDrEQL3Xr+nvmjMn/T+vX3d0FR2HzJmBP/9E8LlzuFmlCsRkotJFiRJAt25UE3A0FKWQffvot1q6NAP3Jk2i7+633wJ37ji6lpbDZGKQ3pw5bOdu3ejj6OtL6awMGRgPsG5dxBJbzohFi+BSujQS3roFSZ0a2LEDGDw49gXU5MzJ/pgnD+fCcuVsr2udOjWl3fr04fuxYymN+Pixba8bFQwGxq/0789n/fQp4z1at2aMQ7t2nHNr1qQqSenSnHMnTaL//dWrjImoU4eBq86AgAB1fYvMx1tRqkie3D51Couwc4Ez+hw7o/9ywHXgybzQtwazH/BomuPqExXsRNZjNWxqOf4Qu3aFT1nr7i7Sq5fTW7ci3FEfOEAfubCuI5072yf9r5MitJ3On6fricnEI2OAvuhHjji6iirMZpGtW0WUFM7Zs4u4ufFkw8bP0OZWrNeveQRdpkx4C1vatCJDhjjvacebNyJ9+oTW91GBAhJog6xyTocnT1S3n3jx6CsfTVjVl5YuZVZBxboZ0325o4DdLcdDh6rjzssrYreJNWv4vY+PfeoUFq9eqZbj95kwNbdRs0a0HM+abn29bvrScpwlnvVliehrOQ5jNQ59HU9uV+txnOU4tqJ8eUYP79ihZoubPBlo3Bj47ruYpSZQsiRVEfbvp0UyOBj4808ge3bKTd286egaOg6K8seFC1SNMBqZNKZ4cUqv2SrRiiUwGKjbvHevmvUxMFA92WjfnsoXMRHx49Patncv9ZL79qV16t494KefgKxZee9Ll9pWTswSHD1Kia8VKwAvL4T88AP2//gjVRZiO5IlozW3Rg3A35/ZR5cssf11mzfnSVj27FRWKFeOCiAK3r7l2FAyoMUhejh9Ghg9Wn3/6hVPUD/Ekyf86QgZNz0tx0r/cEbLsV6KEh9YjUMR/MQprcdx5DimQtHI3bpVnaB/+y1mSm4priP79jH9b3AwMHMmF5xu3dQMSZ8jsmcH/vqLJFnRkN6wge4WdeoAhw87uoYqSf7rL2rmVq9OiaP584HcuSl9dfq0o2upHblzU8Lr7l2mWa5enfe8fTslC9Om5cbUUVkuQ0JI2EuV4mYkOBhYtw7moUOtX7RjEuLHpw5yy5Zsg9atmUnT1sibl5vVhg25OezalS4Lb9/SXad6dWD4cNvXI7YgOJjJez50YYooDbsj3SrCJhKyepzp6FZhU3k0K+r3aAaASNzSHv2uvVwbIY4cx2QopGTJEpLLkiXpAzpxopq84eFDR9cy+ihdmr6se/ao/tUzZtAK2b27qnn5OSJHDpLNixdp0VR8kn18qPV66JCja0iUL8++eOgQkxSIMP1swYL023UGMq8Vbm5A06a8P19f4H//oz70s2fcmObLxz48ezYtzPbA9evUyv7hB5KJL75g0p0KFexzfWeDmxt14nv2ZN/75hvgxx9tr6eaKBG1hseM4QZ29mz6Qa9fz+/Hjfu8YyoswYQJEcdY/PMP4PdBYgvFcuxon2NrffmV/qlnTICz+Rx7lQE8cgHumSEGJk0R1zSAe2YgsZ1TkkcDceQ4NkAJlNq/nxmdPkze0K9fzCLJZcvyiHT3bqBy5fBBiD16xMygL72QPTswbx5Jcvv2asrukiUZbGOrjFmWokQJLmanTvFkw2CgVc/Hh33V0ZkBrUWmTMCIEXT9Wb+eVkOTie3/yy8kzYUKMRPdrl36pzoWYT8oUIAnLl5e3DwtX+6YZAjOBKORrmaKtXbECM4btkwZrlx30CBunpIkAW7cUL8LCFAD+OIQNSZMiPjzgAC6DIWFI90qlP5kNFpPRPV0q3DWxBqJ6wH5LwAFfAF3b8AEhGT+m+8z2uGEx0LEkePYBIOBPncHDoTPcDZhAkly//7Ao0eOrmX0Ua4cj6537mQWqMBAYNo0+nv27Pl5k+Rs2aj0cekS0KEDidnmzbRcKn3AGVCgAP1yL1xQLd5bt9KyWa4c6+ysk3l0YDLRvWX1avbH33+nFdFg4MZg3Dj23eTJqRbw668k0xcu8JRHC54+pQW7QwdG8Zcpw2u1bet81iJHwWBgNsRp0/j7H38AvXrRH9nWqFqVG/wPsWYNT8biEDWGD6dRJCJf+fv3w793pFuF7/vstXr4k38uahUxCHHkODbCYFCtiIoc2Nu3tGhlzgwMGBCzSHKFCsB///FVvjxJ8tSp9C385psYJWenO7JmpQTZ5cv00zOZVJk15TTBGZAzJy2dV67Qj9zNjcFuNWsyyHDNmpgftJQ6NTdtBw/ypGbhQvq9Jk8OvHxJS/qQIQwWy5OHklne3iTP//wTvWts2QLkz88jfBcXBi3t2sVxHYeP0b07N2dVq5IoV6z4McHSGxs2UPYvIrRrp/8pQmxD9+40inTvzvetWzPYdNs2noKGhSPdKsJKBlobeKwnOY7JxgYnQhw5js0wGIBatTiIN24kCfH3B37+mYvpwIGO1ea0FBUrqkodX3xBcjVlCv2rP3eSnCUL/RwvXwY6dSJx2rqVVsVatejH7QzInJlWPF9fBrF5etK/sFEj+iUvXx5ztISjQooUXNQXLiRRPnyYR/21a/M+EyTgInbnDsnth76UHyIoiO4BdeuS3OXKxXE9ePDnFXSnBc2a0Sc7aVIGzpUoAZw8abvrbd8e+XcPHvDZvXxpu+vHFig+2nnyAEWLMg7FwyP83zjKrSIkBJg1Q30/fqx15X0OPscxDHHk+HOAQpIPHaJVo1gxkuTx40lWBg1SJxlnh8FApY7ly7kIlStHS7JCkj93d4ssWSiHd/ky0KULSfLr17S4V6rEjYUzWBbSpaOLwc2bwPff02f27FkmVMiald99ijDGFBiN3Jh+/TUtvidPkhw9esTTnUWLuPGLDHfu8Psff6SrVI8e3FAULWqf+tsruNCWqFCB81/OnGzPsmXpA28LDB3KGInBg4Evv+S1M2VSv/f1ZfDmxo22uX5sgUKOozoVcZRbxdIlwLVr6vuFC8L7mFsK74xAmXIfk38tEAFKlgcK+1hfllJevvJ8OcPaYSdYTI7btWuH3TE9mOZzhcFAy9Xhw/R7LFYMePOGfpFNmpAkxxRLssFAv7Rdu0j4FJI8dWqcTzLABWXmTLoxlCgBuLrS6l6lConBv/86x0SXIgVlyG7epNvPnTuU7uvbly4HffvGTr1rg4H3XrIk0KoVs/BFhG3bqF28fz99mfv04UbQXlnM1q/neJo92z7XsyWyZeNmpEoVznsNGzIeQ+9xkDgxddpHj6b82M6dJHohIdzUZ85M5Z06dYA2bWKOYcLe8PXlz8jIcUgIlWIA+1qOg4KA4T9+XJefx2kv84YvsG8P1zA9cHA3cFJHZaBzu/mKbRk2o4DFd+rn54eqVasie/bsGD16NO5+zkfZMRUGg6qRu24dSfLt2yTJMc3dQrEkx5HkiJEpEwnAtWtsC3d3Eq1atUia1651DpKcJAmJ8K1bTKKQOzeF/3/9lc+xRYuYLQNnKcxmYORI+o0/fkzlC8X9xJ7YvZuBg1260MId05EkCYOVv/qK/b5fP5i6d4fBHn7ARiMDKc+c4SbHaKTbTZ48JM3OMA6dBWFTR0dGjp8/Z2xFhQr2VWiZP08l7mExd472U5ZQn2MdyGdcP9IFFj+JNWvW4O7du+jevTuWLVuGTJkyoVatWlixYgWC4gINYhYMBvowHj4MTJpEC9WbN3S3yJQpZpPksIF7WbPyKPpz1kn29qaSwvXrXJjjxWOQS4MGQOHClEhyhoA4Dw8mUDh7lsfOVavSKrNsGV0KypWjMoStZbkciadPOS6HDuVC17kzNzRZs9q/LuPGMTBKhGoYH0ppxUS4utLvfeJEwGiEcc4clBoxQrVC2hrx43PDun8/ifHjx5Q7bNQodriw6IFbt9jn4sUDUqaM+G+ePqWM4cmTDPC1FyZGIjUXGAhjWD9kS2CLDHlxsAqatikpUqRAnz59cOrUKRw6dAjZsmVDmzZtkDZtWnz33Xe4cuWK3vWMgy1hMDCC/uhRWhKLFFF9kmMySQ6rbjFtGo+u48dntH/JkuFfStKA2I40abgw37hBN5oECSgD1rQp22XxYucgnkYjrdtbt3Lxa9eOpGbvXqBxY7jky4fMGzbQnzo24fBhjr9Nm7hRmDuXlnRPT8fUx2CgG0eHDlzAW7aMXIkhJsFgAHr3BtauhSRIgBRnzsClbFn66tsLPj7A8eP0JXdxoWJJnjx0Yfkc5qKooPgbZ8oUOWFU3FFSpLBLlUJRqjRdZ+LFVz8zmQA3N0h6b21l6hmQZwtZuM8QVj2J+/fvY+vWrdi6dStMJhNq166NM2fOIE+ePJg4caJedYyDvRCWJK9bx4CfsCQ5pknAVayokuRixfiZvz+tkocOhX9Nn65ddzYmIkUKZvO6cYOZ3hIlAs6fp8JC7tyUXXOWk6CCBVmfGzcY5JQkCQzXrqHArFlwyZqVn8V0i5sIfcS7dqUaRbZsVKNo397RNeOCPWsWfaOVLHyxRa+3Th0E79wJ/xQpYLh6lRvl//6z3/Xd3YFhw0iSixVjEGrnzjwxiejo/nNBdILxFIONvYPx/pwDPHkObN7K91myAAHBgH8ApFNnbWXGWY6dDhaT46CgIKxcuRJ169ZFxowZ8ffff6N37964d+8e5s+fj23btmH58uUYMWKELeobB3tAcbc4ciQ8SVYk4GIiST5yhP6bkaF9e8dZ5xyJZMkoEXbjBn1ckyZlEF+HDozsnzlTvyARa5E2LYOcbt9GyOTJeJ0mDQzPn1PhIlMmHvvbUqLLVnj3joToq69oxf/qK25QCxZ0dM1UmEzMwNe4MftDgwYMNIsNKFAAu3/+GeYSJejHWr06FV/sifz51eyKHh50Dcufn6c8AQH2rYszIDrk2JEax4B6wqaHlKItdI6dmGiLWxK8Q2IInPeExGJynCZNGnTp0gUZM2bE4cOHcfToUXTr1g0JEyYM/ZtKlSohceLEetYzRsD0zTfh5V1iOsKSZEXdIixJjmkZ9zZsoM9qRPD3j52qCNFF4sTUgr1xg36mKVJwgfrqKzXRyNu3jq4lET8+zN26YfuUKQhesYLPNCiIygCFC9PCOXduzNCSvXGD6iFz5tBCO3Ys9ZATJXJ0zT6GiwuwZAmDed+949zgLElmrERA4sQI2bqVgZ/BwQxA7NfPvi5GLi4MSj1zhkFm/v4MgsyUiad3sUXaMDqwhBzb261CgaLH7uJifVm20DnWCzZw8TGYn8HD5QUMegQg2ggW12zixIm4d+8epk6dikKFCkX4N4kTJ8Z1pXN/RjAuWUJrW4cOwNWrjq6OfgirbhGWJCsZ92IKSVYW94gsDUuWANmz81jbGr3KmA4vL54MXL9OpYg0aRio1LcvkDEjLbcvXji6loTJBKlfn4oKhw+T2Hh7M3ivY0emn23ZkoF9zphYZMsWnsocO0YL/ubN9O93YosP3NwYlFetGoN3a9WilTs2wNOTPvfDhvH9r79yPrB3f8+WjZbjVatIAB88YL/IkIFxAg8e2Lc+WnD4sHWk6ulTpp7PmTPyv3GUW4UCPS3HurpV2NBy7Mxzk86wmBy3adMGHnoIVcdCmJXI+nnzmAWpffvYS5I3bFAz7v3yCwNJBg1iNjBnRrp0lE9SoBDmypVpfZw1iyS5SxfVevE5In58ZrDz9WUwY+LEXIyGDOEiPXCg7dPwWoLixfkcDx6ke0iuXLRuLl3KPpsuHe/n+HHHBzuZzdxk1KzJjUexYqxX1aqOrVd04eHBdN/ly9M6X7063UFiAwwGBsgtXsznMWcOn8/p0/ath9FI9YqrV7me5MnDth43jpbkr75y3rXl0CEGG5Yqpc3yLsIN1+nT4ZOnfAhncavQ03L8GZFPZ4fz2rRjIEKWLuXiXKsWB878+bGXJNeurWbcK14cyJtX1Unu29e5rRs1atCFAKCvZ4sWzLa3Zw8XxOBg+hzmyMFUzJ9zYIyHB5UirlzhEW/+/NQfVoI0nW2RTpuWGffOn6c7UK9ePHZ99Aj47TdaavPlo/uCI6T9Hj2ib/TIkVwQO3Viv4ssCYizIl48niKVLEk/3WrV2OaxBS1bqr7s167xPsNuqu0FNzeOvzNnqGZRqhR9kGfOpFW1WTOePOgFPeTsfv6ZP3Pn1mZVffqULiQGQ9Tyhc7iVqGnz7EzulV8pohxT2Lq1KnIlCkTPDw84OPjg8OfSAzw999/I1euXPDw8ED+/Pmx8YOUnSKCoUOHIk2aNPD09ETVqlWtk6Lz8eEx7qFDJJAKSc6ZUyUZsQVhSfKgQUwq8fYtjyMzZ6aerrOS5BEjGLw1ebL6WdmylA7bt4/WsOBgWo5y5Ih9rjKWwsWFvrynTpEUlS3LwCxlkW7enNZPZ4HBQIvfpElMJrBuHYmEuztJ3ODBdBOpXJmWuVevbF+nf//lUfGiRSQ5M2dyExZTT+K8vCg5V6QITxWqVIld81uRIrRg1qjBea1NG+CbbxwToGo0AvXrc27avZunIWYz8PffzPSXKxc3qkuWWK7c8vw5+2HVqnRFsmbTePUq3UEA+mxrgdKH0qePemw4i1uF0cncKkJPxuKs0FZBYhCWLl0qbm5uMmfOHDl37px06dJFEidOLA8fPozw7/ft2ycmk0nGjx8v58+flx9++EFcXV3lzJkzoX8zduxYSZQokaxZs0ZOnTol9evXl8yZM8vbt2+jXS8/Pz8BIE+ePPn4y8OHRerUEWGXFTEaRdq0Ebl0yeL7d3qYzSKbNon4+Kj36+Eh0ru3BN68KWvWrJHAwEBH1zL62L9fpGZN9V5MJpF27UQuX7bZJQMDA2NOO+3ZE75vAyLVq4vs2MG+YENobqcXL0T+/FOkQoXw9S5TRqRcOZEffhDZulXk9Wv9Kvv2rUivXuq18uYVOXVKv/Ijgd360pMnIvnz897y5Ytxc9sn2yk4WOR//1OfX6lSInfu2LeSEeH0aZEvvxSpXz98XwZEcuQQ6dpVZPFizmNHj4ocPCiyd6/Izp3s49Oni9SrJ+LqGv5/58+P8HLR6k9ff80yatXSfl/z57OMypWj/rvMmfl3+/drv5Y1WL1KxASRsqVDP9I85sqWEPGAyPq11tfr0jmRNBDJk8z6skREXj4TqQ2+goN0KdJ8PpPIKUiQ3z5dyrMECl/z8/OL8u9iFDkuUaKE9OjRI/R9SEiIpE2bVsaMGRPh3zdr1kzq1KkT7jMfHx/56quvRETEbDZL6tSp5eeffw79/sWLF+Lu7i5LliyJdr2iJMcKDh8WqVs3PEn+8kuRixejfZ0YA7NZ5N9/uYi8v1+zh4dcrVtXAm/ccHTtLMfBgyK1a9tlgxOjyLGCU6dEWrfm5kFpoxIlRFavFgkJsckldWmn69dFRo0SyZmThDUsQXBxESlZUmTAAJFZs7jpO3xYxNdX5OXL6JP/06dJGJVye/US8ffXXmcLYNe+9OABNxeZMomkSCFy5Ii+5QcH61teGES7ndatE0mUiM8xZUqSTGfA8+cia9eK9OkjUqSIiMEQvi/Hi/cxeQZEihZVfy9QQGTMGPbvSPDJdnr8WMTTk+Xt2KH9fn74gWW8X6cjhZcX/+7KFe3XsgYr/iY5rlAu9CPNY650MZLjjeutr9fFsyTHeZNbX5bIZ0uOdfAktw8CAwNx7NgxDB48OPQzo9GIqlWr4sCBAxH+z4EDB9CnT59wn9WoUQNr1qwBAFy/fh0PHjxA1TCBMIkSJYKPjw8OHDiAFi1aRFhuQEAAAsJoT758LxkVFBQUeQrtQoWAVatgOHYMxlGjYNywAVi4ELJ4MaR5c4R8/33UkbkxDZUrA5UqwbB9O4wjR8J44ACyrl8P2boVIZ07w9yvH4OkYgKKFAHWrIHh6FE+u40bgQULIMuWwdymDcy9etG/Tgco/SdGpWLPnZvSaUOHwjhxIozz5sFw+DDQqBEkZ06E9O8PadFC1xSvurRTunRU5ujfH7h6FYY9e2DcvRuGPXtguH0bOHgQcu4cDBG4XIirK4Jv3oz8SNdshnHqVBi//x6GgABIqlQImTULUrOmcgPa6x1N2LUvJU0KLFkCl3r1YLhxA1KxIkKWL4dUq2Z92Y8fw6V6dYT8+COkYUPry/sA0W6nGjWAAwfg0rw5DGfOQKpUgXn0aJh79+Zx+M2bMOzaBWndWh8/1OgifnwGdyp968ULGPbuhWH3bhjOnoXh1i0GTru48GUyAS4uCKlUCYbq1WFu3pwBfwoiaYdPtZNx8mSY3r6FuUgRhJQpo7mPmy5dghFASJYsMEdWRkAAXN+Py6BEiRySsMgQEAAXAGaTCSEftI2lY84kZhgBBIeEQKy9l+AguIKaFcF6tMv78oD392W2PqDZJAIDgODgYOvv10JE99kYRBwduh093Lt3D+nSpcP+/ftRqlSp0M8HDBiAXbt24dChQx/9j5ubG+bPn4+WLVuGfjZt2jQMHz4cDx8+xP79+1GmTBncu3cPadKkCf2bZs2awWAwYNmyZRHWZdiwYRg+fPhHny9evBjx4sWL1v0kunoVOZcvR5rDh2E2GvE2aVI8y5sXl5s2xev06aNVRoyBCFKcPo2cS5ci2YULAIAQkwlvU6TA44IF8S5pUgCA4X1XNJtMuFOxIt46KtDiE0h89SpyLFsGt9evkezCBYjBgLtlyuBy06Z4lTGjo6vncLi/eIEs69cj88aNcPX3BwC8TpMGN6tWxa1q1RAYRhPdWeH58CGSnzsHz0ePkPz8ebi+egX3ly/h9uoVTO99TteuXAmJgAS5P3uGwr//jlQnTgAAHhQrhhM9eyIwutrvISH2JVc6wuXtWxQfOxYpT52C2WTCiW++wZ2KFa0qM/eCBcixciXEYMC5du1wrUEDh0b1mwICUHDaNHjv2gUAuFu6NM507oxygwcj/sOHONe2La42buyw+jkCpoAAVOvSBe4vX+JIv364V7as5rIq9OmDxL6+ODR4MB74+ET4Nx5Pn6JGp04wm0xYt2KFQ/pD2n17kWvZErzIkhXHe/f59D9EAZ+xIxH/4QOcbt8FTwoWsqosr7s3UfzP8Qjy8MSegb9YVRYAuL57iXJraZTc0WQSYLLeplo1fVfEd32EXXfH40VgDqvLswT+/v5o1aoV/Pz8wuXn+BBx5FgDOY7Icuzt7Y379+8jWbJklt3YiRMwzpsH0x9/AADEYIA0a0ZLsk7WSGdAUFAQtm7ZghqurnAbMwbGffui/Htzp04Ied8mTovjx2EaMwbGf/4J/cjcqBGfncbsZkFBQdi6dSuqVasGV1fXT/+DM+PlSxhnzYJx0iRI9uww7tkDcXeHNGkCc7duEB8fzYuaQ9vJ358R9d7eH31l2L0bxsGDYTh/HggJgfnnn2Hu2jV69/n6NYxjxsCwbx9CduywOnLdYW0UGAhTp04wvp8/Q8aOhbmPFeQhOBjGvn1D58iQLl1gnjRJHwktaGwnERinT4exb18YgoMhiRLB8D5JhyRKhOCLF6ldHYsQVTsZZ8yA6ZtvIJkyIfj8ee3PRgQuyZPD8OoVgk6eDG/RDotTp+BavDgkdWoE37ql7VpWwrBoAVw6d4K5WnWErF0PQPuYcylbHIbTpxC8aj2kahSZXKODS2fhWqMIJFkKBB+7a11ZAPDqGVzbpgYABK14q8vG3XQlO4zBN/Eu/S6YvEp9+h90xMuXL5E8efJPkuMY41aRPHlymEwmPPxAR/fhw4dInTp1hP+TOnXqKP9e+fnw4cNw5Pjhw4eRJjgBAHd3d7i7u3/0uaurq+WLUIkSfHXpAowYAcOaNTAsWwbj8uVUAPjf/yKfIGIaDAaYqleHsXZtyr6FcZH5EMYaNWB0dnLo40O911OngFGjgBUrYFy9GsbVq5led+hQumRogKa+5GxIlowqJr17w7ByJeDvD8OxYzAsXgzj4sV0Nfr6a6pgxI+v6RIOaadEiT7OYCcCTJxIN42QECoI/PQTTHnyINpLSWAgMH068OoVjIsWMZGJDrB7G7m6Uic4bVpg4kSYBg2C6dEjSnxpIfyursDUqXQ7++47mGbNgunWLWD5ckDHUwiL26lXLyqi1KsHQxgJNIOfH1zHj6dqTyzER+0UEkJVGACG776Dq6en9sIfPaJyjMEA15w5+ewjwosXgNEIQ5YsjpsnFfU1V9eP1iqtY87F1TXye44u3lt2De/rYTXClOHq6qoLOZb3xgIXFxfesx0R3TaJMVJubm5uKFq0KLZv3x76mdlsxvbt28NZksOiVKlS4f4eALZu3Rr695kzZ0bq1KnD/c3Lly9x6NChSMu0GQoXBlavBk6coPi7CBMY5MtHHd5z5+xbH1vCYCBpmjIl4u+TJOGiE1NQsCAllc6c4bMyGKhJWrQoUK8ek6Z8zvDwAFq3pizW4cPU/fbwoJRe164kUb16Ae9dbmIcXr3iRrZvXxKFL7+kXJulm9pUqbihArhxjAnpryOD0UhyqGje/vorpdC0yqAZDMC333KOjBeP2QTLlgUcZDUMRbZsERP+KVM+nyRC//xDCbckSazf0CkybhkyRC3j9ugR5c8iMFLZDXpmyLNFEpC4hCJWIcaQYwDo06cPZs2ahfnz5+PChQvo3r073rx5gw4dOgAA2rZtGy5g79tvv8W///6LCRMm4OLFixg2bBiOHj2Knj17AgAMBgN69+6NUaNGYe3atThz5gzatm2LtGnToqENAj+ihfeBezh5EmjcmINm2TImX2jeHDh71jH1sgW+/pr39CGeP6eVKKalcs6Xjzqj58+TIBmN1AT28WFimEgCRz8rFC/O4L27d4EJE0guXr4Efv+dZLJSJW40YkpA4sWLfL5//00Ly5QpwF9/kcBpQa9e1NV+9Iha3DEd/foBCxbwmH3xYqBuXes0pRs0oM5vmjTcjPr4ODZ9dZ8+ajKKsAgKoiZybIeIugHq3h1IkMC68hRynD171H+naBw7Mi7FFuQ4LgmI0yBGPYnmzZvjl19+wdChQ1GoUCGcPHkS//77L1KlSgUAuHXrFu6HSWlbunRpLF68GDNnzkTBggWxYsUKrFmzBvny5Qv9mwEDBuCbb75B165dUbx4cbx+/Rr//vuv41NkFywIrFzJI/svvuDgWb6cJLlpUy4MMR0GAxMhhJ0IM2UiQQqbyrlz55iVpS5XLhKCixdpJTWZmACidGlmEtuzx9E1dDySJiWxuHSJVsAGDbgw7NzJZB0ZMzKN7507jq5p5Fi5kmT/wgVav3ftAnr0sM5i4+ZG94w0aZhgY8sW/errKHz5JTeJ8eMzyU7FitalmS9alImH8udnkqHy5ene5AhEleRowwbWNWaE9WjDvn3MCuvmps9mQCHH2bJF/XfOQI6VDHl6+L7bIgmIXpZjG/Rf8SyBx2/zQYxWbqZsCTvIysV6REvn2FqcPi3StGl4ncomTeySTEAPRKn/eOKEiLs770nRl96zR6Rq1fAJODp2FLl2za711gXXrol07kztXOV+KlaMMFlGjNQ51gu3blHjNFWq8M+9USMmLQijmezQdgoMFBk8OPyzfPBA32v06cOyvbw49jVV08n60uHD1EAGRLJksV6f1s9PTdJjMIhMmKAp+YxV7fTuncju3SKzZ7NPfPGFSJ484efpGjVE7t61vGwnQ4TtpCQg6dxZn4soa9yECVH/Xdeu/Lvhw/W5rhZM+o06x61ahH6kuS8VzkOd451W6EMrOHdKJC1ECqayviwREb8nInXAl056446cm6KrcxyjLMefNfLnp+X4zBla1gwGWq4KFgSaNKEbRkxFoUK0rP7xh+pm8WEq55CQmJvKOUsWWsGvXgW6dePx+86d1ILu2JGW09hsXYouvL2BkSPpR7psGVChAp/76tW0uOfKBfz0Ey3yjsLNm7R8bt7M9/37s5++P73SDaNH8/5fvWKqYEtTAjsjihfneM6cmSdBZcoAx45pLy9hQqYF79aN46dvX1ruFYuePeDuDpQrx3E8ejTda86do291gwa0qG7ezPn777/tVy97YPduukfFi8e21wNZsnA9yJs36r979Ig/ncGtQg/LsZ5uFbbwX/4MEUeOYxry5SNxOHOGRNJgoI9y794M5HuvrRrjULEiF7kPB3Tp0lxc9u+nyH1ICDBvHolSu3bqMVxMQMaM3ABcuwb07AkkTszj5po1qVjyzz/q8drnDDc3bgB37qSPfc+egJcXA3R++AHInRsuBQog98KFwPHj9ttYrFnDhXv/fm501q8Hxo/XTVIsHNzdOa5z5gRu32Zg5+vX+l/HEugRIJg9O9uvUCESnIoVubnQChcXYNo0+q8bDBxf9eo5PpjR1ZX95cQJKtY8e8Y+3aYNlRZiOp4/p7vMsWPAd99xPtYDY8eyzWrUiPrvnMmtQg+fYz3dKmwJZ6+fjogjxzEVefNSzeLsWU5SZ85wMi5ShDJSx487uob6olQp+mAePAjUrk2S/NdfnJTbtKHvakyBtzcD0M6eZd09PRlU1LAhXIoVQ9q9e1WrxOeOvHnZVvfuUdawZk3A1RWGixeRY8UKuJYsST/13r3p82uLdgsIYKBco0YkNsWLcwGvU0f/a4VF0qT0W02enOO5VSvH9Yvr1znWJkywvqzUqfmsqlQB0qdnDMXs2drLMxjov75qFcfSv//y5OnmTevrai3y5GEg7pAhtAouXAgUKADs2OHommmHCONAbt+mb/DAgfavgzOQY1sE5OHz8DmOCYgjxzEdefIw+GvPHqBly/AyYvXrW3ds6Yzw8SFhOHyYke9mMxecPHl4pBqT5MDSpaPE1Y0blO7y8oLh7FkU/+UXuBQoAMyfH3NUG2yNBAlIojZtAh4/RvD8+bhbujQkXjy6YUyaRCtkpUpUBhk8mCcsFy9aRygvX+bG7Pff+b5fP2DvXh7/2gNZswJr19KSvG4drXSOwPLlwP37vP8+faw/4UiYkOO4QgXAz49k6/vvrSu3YUMe9adOTQWJ2rUZuOdouLlRB33vXj7P27e5MejTB3j3ztG1sxjGWbO4EXF1pYHGy8v+lXAmcuxsbhVx0AVxTyK2IE8eSiWdP09NWaORi2mxYiSRR444uob6onhx3t+RIzxGNZvpd503b8zThU6Zkv6KN28iZOhQBCZIAMOVK1S6yJEDmDGD1ss4EIkSQVq2xNEBAxB8/z43g+3aUWdVUQYZO5b9IHduLt4+PpYrJCxcyE3miRO03m7YQNkqNzfb3FdkKFWKG2CAJP19wgW7YsAAVbJr4kRuxK3tk+7udIP48Ue+HzOG5b59q73MYsVIiIsU4VxYoQKfozOgVCnOUV99xfcTJ7K+McgVzuvmTRj79eObsWM5PuyNoCC6dQBxbhVR4TNygbAF4shxbEOuXFwMzp/nkb3RyEW9RAkeA8e2hBTFitGyduwYLUaKLnS+fLQ0nj7t6BpGH0mSwPzDD9g6axZCRo8mab5xg77YWbKQFPn7O7qWzgVPT56QzJtH8vvLLyRcX30FlCzJYKG3b9kPopvO99UrBn22aUM/3woVSGpq17blnUSNpk2ZVRKg9ThMynK7wGCg1XjRIloMly+ni4u1/rMGAzBsGE9JlHKrVFEtg1qQIQMtmg0akMC3acOkQ87gz58gAbMgrl/PIM5z53jiMXSo849tf38UmzABhnfv+Ox793ZMPRRdaaORrkeOgtMmAfk83SD0Rhw5jq3ImZM+uRcuAG3bciLZuFFNSHHwoKNrqC+KFKF6x8mT1IUGgBUrqObRuHGMss4Ee3rC3K8f/TwnTaL7xb17XIwyZSJJcnTAkTPC1ZWWrG7dSEAOHGA7XbpEMhmd48+jR7nhunKFY+bHH4Ht2/kMHI3+/ZkYR4T+x45IftGqFV1bvLwYMFmunD5a1G3bUtM5cWI+t5IlrYsjSJCAR//ff8/348bR7cKaBCR6ok4dxok0asT+NnIkDRvLljmtj6dxwAAkvHULkjo1NzOOcgFQNk7JkulDTLUilBzr6Fahq7U3znJsDeLIcWxHjhycyC5dCp+QolQpRgTv3+/oGuqLsKmcFTWP1atJnhs0cGw2LUsRLx4Dwa5do2tF5sxcGAYNIkkePpxR8HGIHCYTx0D16lH/XUgIZeJKlaKf8ePHJMXDhjl2AQ4LgwGYOpXj1t+f7lKOCDqrUkXNUnf2LNtMDzemihVJjBWpt1KlGLinFUYjn+miRVQ6WbeO6jfOktY5RQpu6Hv2pJLN7dt0BapY0fmkOVeuhGnmTIjBgJC5c3mq5Sg4g78xALi7AZmzWJ8VEADSpmNZJj2k3ABkygakSW99WUqBabLy5aQbN1sgjhx/LsiWjWl7L12iJqfJREtNmTIkDvv2ObqG+iJfPlXNo1UrLpRr19JXOaa5l7i702J4+TJPA3LmpM/dsGHUTx0wgHqjcdCG69fpOvHDD/QjbNaMJK1iRUfX7GO4uKiZMh8+ZF/287N/PQoVYhvlykXLcdmy+mR+zJWLp1olS7KPV6um+ltrRatW4cl88eLWke4Pce6cdtJgMNB6fOEC04V7erKuRYsyHXNEqantjWPHGDAJ4GqjRpAqVRxbH2chxy9fAdd9qWltLW7fYlm6WHsFuHEVeKDjmvDwGl+fUcDg53OncSCyZqVs0uXLQKdOXGy3bmUikZo1Y19q4zx5aDkK64OtuJfUrMkFPqbAxYX3cO4cCVKBAtSN/flnWts6dYpZah2Ohgg3GwULcnPo5cVTlqVLHevL+CkoSg9p07IvfPGFY1RNMmZku5UuTd/jatXoymQtUqak1FnTpryvtm25EbTGalW8OIN3ixUDnj4FqlZlYh5rceYMiWzjxixXKzw9KVV48SJPvMxmugZlz84gTHsmNgmLbdtoPClQAOayZXGhVSvH1CMs3rxhn/tUohBbI0TH9NF6ulV8RtZdWyKOHH+uyJIF+PNPkuQuXRjVv3kzUL48M7fpaVlxBig+2JcuMdjKZOL9li7NRT0mbQpMJhKHkydpNS5XjiRizhxuBho0iH3uMnrj2TMeYbdrRz/UMmWAU6dIxGJClLe3N4O64sdXXaYcoWiSNCkJVMOGvH6zZqrsnTXw9OQmRdHQHT6cz8qae0yXjlbZFi1INrt2Bb791jriefo0yciaNdxkWTtvKsGEu3axvBcv6FrVoAFP/uwl/SZCP+0aNThW/P0RsnYtxBYJbyzFjRvOMb/ZIiDvM7LMOjvinsTnjsyZgZkzGe3/1VcMavrvPx4pV6zI32PTTjRbNpLIy5d5VOjiwsU97KYgptyvwUAFhd27uVg0bMjP1q4l2Stblr87Q5S+M2HHDlrdly/n8x81isFlmTM7umaWoXBhBhoajZRxdFQWPU9PWoy//ppjp1cvfdQhjEbKhc2cSQKyYIFK1qyp6+LFfOYAMHkyTPXrw1Vru7VuTTeQnDnp2lSpEi3A1lp6y5enO8Mff5DUnz1Ldzhvb7r/2DKd+KtX3Hwrz7BDBxoP9PCt1QNK6mi9U7ZbCj3JcZyUm9MhjhzHgciYkcd4V6/S183NjUSxcmX6Y27fHnNIY3SQJQuPVa9cUTcFDx9yQ1CuHK3KMel+S5Vi4OH58yT9bm488m7QgP7Xc+fGaSWHhFB9YuhQEhkllfGQIfocjT56RCk5e/abKlXYj+PHp3tUtWqOCdI0mYApU6jXDdDqaK2lV0GXLnSF8vLinFSqFOcprTAY+MxXrQLix4dx2zaUHzBAuzpG4cIksp068dmPGkVye+OG+jcXLliu6mEyUXnlwgVuPLy96YP800+cr1u10l916MQJupytXMk5cfp0uuF5eOh7HWugkGNHBgUC6gYozq0iViKOHMchPDJkAKZN4+LTowdJ1p499NErV44LcGwafJkyqZuCxo1VUlmzJoOC1q+PWfebKxfJ0vXrPJJOmJCLa8eO3BD8/PPnKQP37BnVHUaMoJ9ojx4kAsWL61P+27ckbf372z9JR7VqPP1IkoRkqUIF21oWI4PBwMyE8+aRMJw5Q2u2tVrIAP1e9+8nQfT05Fy0e7d1ZTZqBOzbB8mQAQnu3YNL2bIMUtaC+PHpprZ0KcfcgQMMWly2jL7OBQrQN1mLX7KXF8eyry+VeMqVIzFbsoR9rnhxjuvTp7VZ658945xRqRIt85cu0Z99924aDpzNAuks5FhPyzF0JMcKbPHcnK0v2BBx5DgOEcPbm5YgX1/gm2+omLBvHxepMmXsb1l9+ZL+wQsX2iY4JUMGao36+tIP0cODihb16nFRW7UqZrknpE3LI+nbt4Hx4/n+3j36KHt788j0/n1H19I+OH6cz/Dff0mspkzhK358/a7h6clxAgB9+3ITaU+ULMlNbNq0PIIvU8Y666o1aNeOAYOPH7Md9JJPy5eP2e+SJQMePOCGfe5c68osWBDB+/fjae7ctJS2b89xo3Vua96cvuulSlFFpEUL6soHB5PUDR6sva4uLgy+3L2blur27bmZDw7muC5YkAoOjRoBv/3GmISgIL4CA2nFf/eOG7mnT0ncGzRg8qSuXela9Pgx58Fjx9innBHOQo5tkSFPD5/jmGTMcWZIHKyGn5+fAJCnM2eKBAc7ujq2wd27It9+K+LhIcLhJ+LjI7Jxo4jZ/Ml/DwwMlDVr1khgYKC2648dq143e3aRefNEgoK0lRUdPHgg0r+/SPz46nXz5RNZssSmz9jqdooM796JzJkjkiuXej9ubiKdO4tcuKDvteyAaLfTnDlqn82SReTkSdtVymwWad+e10qSROTyZdtdKzL4+opkyyYCiDlVKtkxcaL+fSm6OHlSJF06tkeKFCIHD+pTrr+/SLNmaj/u18+qMRkYGChr//5bgvv1U8ts1EjEz097HYOCRH74QS0v7GvfPu3lfoiHD0UWLBCpXj38XKW8EiWKuA7e3uHfFywoMm6cyI0bkV7KZnOTpfDyYp0vXXJsPb5sJWKCyMRfQz/S3EbeKUQ8IHL2jPX1OnFYJC1EimewviwRkecPReqBL50Q+PaubFo3VwIDXutWZnSh8DW/T4zvOHKsA0IbGxDJnVtk0aLYS5Lv3RP57jsRT091Yi1eXGT9+ihJstUTq5+fyOjRIsmSqdfNkkXkzz9FbDlZP34sMmSISMKE6nVz5hSZP98m5NzmC1BIiMg//4iUKaPeT5kyIlWqkPi/e2eb6+qMT7bTu3ciXbuq91i3rsizZ7av2Lt3IiVL8pq5c1tHsLTiwQOSHUAC48WToJ077V8HBXfuiBQuzPbw8BBZsUKfcs1mkR9/VJ9vvXoiL19qKipcX5o5k5tGZZyfP6+9jrdvh58nlVf+/LaZswIDRQ4coCGhVi2RtGnDz5dhX7lzc7M/ZIjI2bPRLN4JyLG/v3oPL144rh4iIi2bkxxPnhT6keY2Sp+c5Phc9J5FlDh+iOS4REbryxKxCTk2X80ichES9HK3bmVGF3Hk2I5QGvtF2F16zpwiCxfGXpJ8/75I377hJ/8WLUi8IiDJuk2sr16JjB9PS5Ry3YwZRWbMsC2xe/5cZPhwWgQ/JOcBAbpdxq4L0N69Ig0bimTKpN5TsmTc/Jw7Z/vrW4Eo2+nGDW7YABGDQWTkSG4K7IV791SLad26jpkDnj+XkPcbILOnp8iGDfavg4JXr0Tq1FH72Pjx0TptihaWLBFxd2e5BQpEafmMDB/1pUOHRNKnZ5kJEmgn9E2aRExMAZH//U9bmZYgJIQbwmfPOH+9eMHN2qtXIm/eWFycU5DjmzfVUy+9+pBWNG1Ccjx1SuhHmtsoXTKS4wtWbMYUxJHjKBFdchznc6wjgk+coL9WkiQMavjyS+rOLljgOBF3WyF1akbm37jBICQlI12DBvTvXLPGNr5PCRLwetevAxMmUM7n5k0GjmTPzmBCW2iBJk5MlYMbN4AxY4Dkyemf3Lkzr/vHHzFPDaJMGSpc/Pcf7y19evoiTpxIgf0yZejT+eaNo2safWzaxEQPAMfhxo2UvrKnfmiaNGxXd3dg7176d9vbDzBxYoRs2IAHxYrB8PYtx+WSJfatg4IECSg517Mn3w8YQBUGPRKXtGhBBYtUqRiQVqKE9QoOJUrQ57ZSJUrjffEFn6Elc3hICIN5I8PIkUDLlrZdF4xGjoEkSTh/JUrEYMEECZiaPiYirL+xo4PDlIA8PdQq9JRy01P54jNGHDnWEwkTciG+cYNyO0mTUk+3bVsm2Zg/P/aR5JQpGfC1fTsjquPHpwpAo0aUOFq50jaBbPHjA336kCRPmsRApNu3qUKQNSsweTIDT/RGwoRcKG/cIDlPnRq4dYtSS1myADNmAP7++l/XlsiUiUkWbtzggt6wIYNM9u+nykWaNCQzx445uKJRIDiYwU61a1PuKn581rdmTcfUp3hxZmZMkYKbyN697U+Q48XD4UGDYFaSXrRuzc2jI2AyMTnIpElctGfOpHqIHsopPj5UhChYkOSpYkVqGVuDlCmpXNGvH9+PG8e+FN10ziYTDQQDBnD+r1GD6hVhUx4vXcr3p05ZV9fPCc4SjAfoG5DnzIT22QNH18AxsJMlO1ZDMdM/efIk/BcvX4qMGRPe7ytrVgYJOTqowVZ4/Fjk++/VoIn3gWxBixbJmlWrbHck9/atyNSp6nEoIJI6tcivv2o6Qow2/P1Ffv9dvW7evHT5+OknHmVaCKc4uhSha8Do0XQdCXscXLgw29nB/n7h2unuXZHy5dU69uzpPL7Tf/5J1w6lXnY8Cg5to3fveG2lfUaMcOyR9D//iMSLp/rf3rypT7mvXok0aKDe5w8/RMud5pNjbtkyNdgtQwaRI0f4+YMHIm3aiKxbZ1k937wRqV9frafJJDJwoMhr+wcnWQKnmJvmzmWb1azpuDooqFOLbhXz5oZ+pLmNUiWiW8UVHYJ4jx6gW4VPJuvLEhHZME11qzijT/xCTHCriCPHOiBScqzg1SsGSSRPbt9gMkfi6VP61YUJZPPz9pagBQts64P57p3I9OlcxJS2TpmSfo6vXtn2unPnhieTCROKDBrERTSacIoFKCxCQkS2bxdp2VINVALoa962rciePQ4hWko7BW3cqPqfe3mJLF9u97p8ErNnqwT566/t1l7h+tKHAWw//ujYeIijR7l5VTaxR4/qU25ICImmcp9ffPHJzXG0xtzZs1TJAejjPGuWSNWqqp++lsDLM2dI8sLGTqxfb3k5doJTzE2KalHbto6rg4Ia1UiOF/wV+pHmNkrhRXJ89Yr19VLIccnM1pcVEiLSPZdKjr+vZH2ZEkeOPxt8khwriCiYLFMmTrQ6BnU5FZ49E/nxRzGHDVbMlcv2wYoBAdx8ZM6sXrdmTZFRo2xr9QwKolpJvnzqdT08RHr0iFawkFMsQJHhyRORiRNF8uQJb03OlUvkl19sK633AQLfvpULzZuLWSGdhQo5RjotupgzRyXI3bvbJUAwwr40aZJI6dKsS+PGPPlwFG7epOUYoCX5n3/0K3vuXBFXV5ZdrBhPFyJBtMfcixfhLb5hX0OHaq/rP/+E38w3bkylCyeDU8xNffqwjfr3t76syZO5Ht+/r+3/u3QWqVheZKUasKm5jWpXE6laXuTqVW11CYtjB0UaVxDp2ND6svYsV4lxqPV4l9XFxpHjzwTRJscKXr8mmUiZUp0Qq1en4kIsJcmBjx/L+ZYtxRxW7SF+fBKr9u1FOnYU6dCBv7dvTzKhy4UDqYlcooQa1Z44MRezp0/1uUZEUCTTfHzU+3VxEWnXLkp5KKdYgD4Fs1lk/34+L+V4vFAh+1mQb92SkLDE+Kuv6Fbj7Jg3TyXI3brZnCBH2peWLlVPAUqVEnn0yKb1iBJ+fpz7FGWR337Tr+zdu1WXtrRpI7VOWzTmQkK4ufmQHCdIYF07vnpFvWaTSS3v11+dxz1InGRu+vJLts/PP1tfVrq0IgaIHD+u7f8rVaDlePmy0I80t1Gy+LQc+17TVpewOLKfluNSWawrJyREpEfej8nxkMpWVzGOHH8msJgcK3jzhhNghQrqJJshg8gffzjVpKgHQieNJ0/oj5sgQeQyR8qxvZ5kS7HohrV6JkjAI9iHD/W7zocwm0V27FCPYBUS0Lix6rsYBk6xAFkCPz+6saxcaZ/rLVvGzQ0gDwoXlqB58+xzXb0wf75KkLt2tSlBjrIv7d6tyhJmyyZyRYfjXK0IDFQ1qUuUoOuJXqcQ165xzBcsSLebxYsjuLwFY+7VK9W94sPXd99ZX99Tp7hhAbixTptWZMIE27qERRNOMTc1b85nuXSp9WUlS0pyrFXLulwZkmM9LMdJ45Ec37iurS5hcXifPuQ4IquxTtbjmECO49QqHIl48YDvvqP81G+/URXg1i2ge3cgWzZGlsc0ebBPIWFC4PvvqSwRNnL7QzRrpm/krosL0KoVcOYM8PffjGx//ZpR6Jky8Tncu6ff9RQYDJSE2rqV6agbNeJSumoVFQ2qV2faVnsrGeiFhAkpo9e4sW2v8/Il0+U2bw68eAFz8eI406ULpFUr215Xb7RtC/z1F2W2Zs6kCogj0pKXK0c1kkyZmGa6VCngwAH71wNg2ubp06lmcfYs5706dZh+2VpkycL7zJEDePWKc8CgQaoMl6WYMgW4ciXi7yZNAi5e1F5XAChQgPJ/S5Ywvfu9e0xHnjEjFWWePbOu/JiOCxeo7pE4sfVlKWpGnp7a/l/pQ3qmj4aOa5616+eGKZF/t3GqdWXHAMSRY2eApyfw7bfAtWuUIEubFrhzR5UlmzLFNtq9jkTixMC5c7zXiJAli202BkYjdUtPnADWriVBffuWm5PMmSnJdvOm/tcFeK1Vq0gA2rThpLp1K8lz6dLAunWOIUrOjgMHKIM1fz6f3w8/IGTnTryJrO9Ygr17uRELDLS+rOjiyy9VgjxrFtC1q2Oee65c1AQuVowSZZUrs386AgYDdZAXLqTRYMsWEnZfX+vLTpSIZHPQIL4fNw6oVw948cLyskqV4pwcEcxmSnaeO6e5qgDYL1q0oAzon3/SUPLsGTBsGEly//4kzp8jHryXFUud2rpyRNQ11cNDWxmh5FgHnWNnlHIrVgdImx1IlVn9LE02IF0OoFA1x9XLXrCTJTtWQ7NbRWR4+1ZkyhQ1y5biMzdpkmMDaKxApMdNe/eqfnYfvtKnZzvY0p/UbBbZvFmkbNnwvsGdOukTHBEVrl/nEbLiCw2IOW9eOfrttxLoBMeoDkdQEFUVlP6RKRPVMUSnI95Xr1QFmU6d7K+6sWiRiNHI63fsqLuLRbTb6PVrZvKzhd+vFhw7xvkO4PN5/8x1weLFalbPHDlELlzQ1pdev2Y9FyygdGXu3OFdwmbN0q8/BQfTneh9SnAB6DPesyfdY+ykOuJwt4rgYHW8aA2iUxAQQJcKAzRJboqISLHCdKvYuDH0I81tlNCNbhV6BGIe3ku3itLZrC9LROT5A5H6EGlg0Kc8iRluFXHkWAfoTo4VvHsnMm2aiLe3OimmSUPFgBhGkqOcNMaPV+/PaBQZMkRdHMPesy31is1mkf/+E6lSJXxdvvxSu09adHH/Pn2fvbwkpFAhkuTUqZmu2pb+0M6Mq1dFSpZUn8WXX4ZTGdFtod6wQV1wx42zstIasGSJev327XUlOha1UVBQ+ECz3r2tr8v9+yR1WnDnjkiRIioR/OuvT/9PdHHsmDqnJkwoQWvW6NOXrlwRKVdObcMmTfQN+jWbScSUjfz79OCSPDk3V2vXWr4uBAYyXfa0adH4UweT4/v31XnZ2r754oVKjrXG9xQuQHK8eXPoR5rbKIELyfGdO9rqEhZx5DhKxJFjO8Jm5FhBRNq9qVIxUMOWhFFHRDlphISI1KvH+2rdmp+9ffvxxiBlSkYp29qqun+/SO3a4QPomjZlsIwt8eyZBP32m/gnTRreQtS+vciJE7a9trPAbKaqgxKwmSiR9UFUn8LkyWp72yuwMCyWLlWt423b6haMZnEbmc3cIISVFNO6Cff3Z3AdQL1zLVbU169ZB6U+Q4boZ11/+DCUZJoNBjnXpo0E6qEUFBLCzb6Li3r6tXOn9eV+iD17aDkOq/6jKADVr88Tl6lTqfu9Ywc1lR88YADt9u0iw4bREKCozQAit25FeUmHk+OTJ9V1wFo8eKCSY60W/gJ5SY63bw/9SHMbxTeRHEchORhtHNpDclwmu/VliYg8ux9HjuOgDTYnxwoCAkRmzuTx8oeEMaZnV3rzhkeUH3bYgAAeUYbVK06enJkHX760baWPHhVp2DC8m0e9eiL79tnskoGBgfLPihUS9NdfKrlQXhUriqxe7djkDbbE69e0EFesyPstXz5SbWjdF2olg5ynp8jhw/qUaQmWLSNBLluWiSt0cCXS3EZLllgv9RYSwgQ4St9t2VLbPYWEiAwerJYTjaQe0UZAAGUA35cd0rRp+LLfvtV+rSNHVFULg4HE3hakMjCQ5Oybb1RDQrFikasA5c378WdJknBe+8QJmcPJ8b//sr4FClhf1o0bJMaeHtrLyJOT5DjM5kdzG8Uzkhxb6y4iYjty3NCoT3kiEny7gTw+nlcCX+7VrczoIo4c2xF2I8cKAgM/TnBRtSqtPk7qq2r1xBoYSGH/bNnCT+ojRmj3GYsuTp+mhFDYFMXly/OIU2c/1Y/a6cABXjusX3bmzHQz0ZKVy1lx4YK6cLu6csMXxSZA94U6KEikVi1eP3Vq/VIaW4KNG1X/8/LlmUDHCljVRrt26SP1Nnu2akW1RlN53rzwST3u3dNWTgQInjJFQpTxVbgwn/2TJyS3qVOLPH6sreBXr+juoIxbHx9Ky9kKZjM39AsXUhqvUSO6eeTKRb1ng4GfpUsn0qIFT+bOnIm2NT7a/clWvvvz57Mdq1WzvqwLF0iOkybRXkbObCTHYXziNY85D/BlQTbVSKGQ47I5rC9LxCbk2Hw9i8gVSNArHeMJook4cmxH2J0cKwgMZLKMbNlU0mgvq6qF0I3MBAXRwpwzp7roJEpk+6QeIiIXLzJwS1mkAQbJLFli+6PwW7doiQt7jJoggUivXo7VqNUDS5bwOFghprs+raFpEyuWn5+asS1/fsdsPv77T025njevVQE6VrfR+fPqKVWyZCIHD2orZ8eOUG1qyZxZuw//rl1qUo/06XVzNQoMDJQ9P/0kZiVzafLk4ZP3fP+9dRdYtoxzFECt5QULdKm3xQgOpiVcI3mNdn9auJCnXmvWaLpOpFBiU7780vqyTpwgOU6bRnsZ2TKTHB84EPqR1eRYjxiTg7vjyHEUiNM5/hzg6gp06ACcPw/88AMlf548AQYPpn7pTz9RHzY2wcWFUljnzlGeKW9e6qGOGEEptuHDgcePbXPtnDkprXT9OtCnDxA/PjU3W7bkdzNm2E5yz9sbGDOGEn/Tp1My6vVrSv/lyAHUrw/s2MHlPKYgIIDyXS1bAm/eUNLuxAmgfHnH1CdhQmD9eiBVKupht2wJBAfbtw4VKwJ79lDi8Nw5SodZKw2mFblzU0avaFGOswoVgOXLLS+nUiWWkzUrx06pUsC2bZaXU748cOgQJeju3AHKlqUcow54mjcvgvfvp2Tgkye8joLffweeP9deeLNmwOnT1JZ+9Yoyjt98Azx6ZHW9LYLJRJk8W8qFiVDv+fBhjiE9oZeMG2C9jBugzg3W6hyHnbP1kHR8+F6v3/ey9WV9xogjx7EBrq5Au3YUSF+wgGTp2TMS5kyZgJEj9RHUdyaYTNQCPX0aWLGC4vm5cqlaoH362CapBwCkSwdMmMCELSNGAMmSUY+1WzcS9PHjbbcpiRePSTfOnQM2bwZq1eLkum4dUKUKk5vMnm1/UmcpbtwgWZj6Xkx+yBBqPuux8FmDDBnYlp6ewMaNTMBgbxQoQDKZO7dKAvfssX89AD6PnTuBJEm4mWnenJs0SzdhiqZymTKci2rWpMazpcialW1TtSo3VA0bcizqsSnMmJEGhQ/x6hUJsjXIkAH47z/OF1myAHPmcEM9fXrs0jY/dAg4cgRwd+c8pScePuTPVKmsL8vaBCCAfklAXr9Wf/e9Zl1ZALBri/p7TDKWOBniyHFsgmJVPX8eWLSIC9Lz58DQoZz4hw3TJnzvzDAagSZNaHH83/+Y0ODtW2DiRBLV7t1JxGyBpEl5zZs3aS3x9qZ1Y+BALoZDhnxsHQoJYf3CTohaYDAwu97GjczK9fXXJM5nzpCcG514aG/YABQpwkU0aVK+HzVKn0xTeqB4cW4yAVrmp0SRKcpWyJCBCUpKl+aYrVbNcQk6EiQAVq4Eevfm+++/Bzp3BoKCLCsneXJg+3agdWuOg65dgQEDLCeHiROz33/1FRf/FSuATp2sTxr05AlP4iLCr79av+E1mThfrFhBYvziBeenUqU4f8UGTJ7Mny1bRp0BVQuczXKskGMXK5OAzJ6h/r5xnXVlAcC1S+rve7ZbX97nCju5ecRqOMzn+FMIDqY/Z548qv9cwoSUVrK1f+4HsFukc2RJPdq3F7l0ybbXDghg4FDYhACKLqe7u6pnq7x69vyoCKva6dkzBrItWqTDzdgAQUH031T0i0uUiFSN4lOwS38aO1Z9fhs22O46UcHfX1VMMRiYFCeasEkbTZmi9uPKlbUFw5rN1PBWxkGjRtpUIcxmkT/+UOXIypbV5LOptFPQli2RqzwowXp6ISiISZ28vNQ+1qtXOC1vZ8Mn+9OdO2rw5fHj+lcgXz6WvWWL9WWtWkWf4zKltZeRMhl9js+eDf3I4jH3+rWId0rV5zhVIutiHc6dor+x8mpQxvoAyTif4zjEOiiuB2fOAMuWAfny0foxciTdLYYMAZ4+dXQt9YViUd2zB9i1ixa34GBg3jweU7dsqb8vnAI3N7q3nD0LrF6tWjjMZlq1PrSQWePHGBGSJAH69QNatdK3XD3w4AGfy+jRdAnp3x/YvZsnGs6KAQOAjh353Jo3pwuPveHpSUtjt26kaD170nLrqOPSHj3odpIgAX3cS5emH7ElMBh4mrVoEcfM6tX0Z7Y0JbLBwHZZtYopovfuBUqU0PycpEIFnmIMHky3j5Qpw//BiRNsez1cllxcgF69gEuXOEebzbS65s4NLF0aM4/Dp09n25QrBxQurH/5elqOAwO5Bqb31l5GkiSsizWndDOmAY/DnC76+QF/WOHCM3F4+PdH9gF7d2gvDwDEDCROCSTSwZ0lJsFOZD1Ww2ktxx8iJERkxQrqRIZVPBg0SLtcUTThUI3MgwfVJCPKq2FDapHaEsHBqrUjoleYKGcFDtcStQV27qQKhdLfli61uki7tVNAgKq7XK2a7U8fIoPZLDJypNp32rX7pG6uTdvo5Ek1vX2KFBH25Whh7141hXf69CxXCy5cUBV74senHng0EWk7mc1MyvD339STD6s3rocebVhs2aLqIivSnI7qa5Egyv709i37AcD20v/iVG9Jk0YfubPZs2k5rltHexmJEtByHEYtyKIx94li3ukAAN6WSURBVOqVSPrkqtVYeaVNqk1t6uzJ8FZj5dWwrHXW46f3RBpApJFJexkfIM5yHAfnQlj/3FWrGJn9+jUwdiyD+CLykY0N8PFhVPvJk4wcNxiANWvoW1qzJi1OtoDJxLJz5Ij4+6ZNaUmNjW0O0Bo2bhxQuTKtPnnzAkeP0gobU+DmRn/bdu0YMFi2LHD8uP3rYTAwwHb2bPar+fOpUGKt77pWFCzI4KvChakOU6kS8PfflpdTpgwD9RQFii++oGXaUuTKxfpUqcJAvUaNOLasscAaDFQN+eILBoMtXUqL+c6dvO/du7WX/SGqVaPFe8QIBrNt2wY0bkyf5Gs6BGnZGkuXsh94ezNIUm88esQTp0eP9PFldoaAvD+m0M/9Qzx7RouypfhtRMSfH95rvfX4M0QcOf4cYTRy8Th+HPjnHwZH5c3LxSRzZh7NK0dYsQkFC9K95Px5oG1bTmqbN/MYsGJFLkh6H2cmSsRj4/jxw3+eMCHJwJAhXFDatqX8UWzB8+dAgwbAoEEkyW3akLzkzGl92WfO2FfeLGlSBjmGJYJ6EiNL0LEjx2y8eMC//7IujtpcpUvHdqhblwFOzZpxo23pGMqaFdi/H6hdm4S0YUMG1FpaTtKkwKZNdD0BOLa+/FIlQtaieXNu7vLm5fxYuTL7hV5qEx4eDNg7dw6oU4ckefp0bq5btHDeoD0RNRCvRw/rA9QiguJykyqVPsHGegbkaSXHO6MIltu22bKyRIA9Ucgj7tlqWXlxiHOr0AMxxq0iMpjNIuvXh0876uEh8u23+uR6Fyd1F7h2jeljwyb1aNmSwRrRzBoVbSxfrl6jeHEGWkWQIjqkaFE51quXBDpZEheLcPiwSJYsvCd3d6Y81ytr1o4dIvHiiTlLFtmwYIF9+9OLF2qWRA8PjhlH4dAh1R2hTp0Ij+DtNuaCgxlMpvTjTp20pUoOCBDp3Fktp0sX7SmX//hDDQ4rXjzKeUxTEFWbNmo969WzOpthhNi5U83aqLyqV+cYsFUWuigQaTvt2aOOCVutgWvX8hpFi+pT3siRdKvo0kV7Ga5GulWE6VsW9aUL50XGjxYZ9j/VpWLo9yKjhomcPmV5ffZsF/l1hEjvDnSnyJ9C5NfhIlPGijyywhXFFm4VVxLRreLlVt3KjC7iMuTZETGeHCswm5nCNmx2KHd3qipYkalLxEnJsYLbt7kRiBdPJXU5cojMmkVfOr0wbJiIp6fItm3hPz98mD6kSupgQMzJktEXXKOag0MQEiIyYQI3GxUqsC31jlp/8iQ0a9vDQoUkUM/nEx34+4vUrauqoDhSGeTSJSo9ACJJk4rs3h3ua7uPucmTVSWLKlW0K1n8+iuVORRFDK3KOjt2sF0AkbRp1RiD8+dJMv/5R0Q0tpPZzE2fMmYzZWLqZlvg5EmRVq3Cp5AvXpy++wEBtrlmBIi0nb74gnXq3Nl2F58xg9eoW1ef8oYMITn+5htt/282kxibEM4HWlNfevlSxBN8+ftrq09Y7N0hkg4ilfNaX5aI/uTYbBa5ApErkOAHvfUp0wLEkWM7ItaQYwWKHFrp0upk7OYm0r27yM2bmop0anKs4OFDTppKqluAgWRjxmhb6CNCVBafR48keNQoeaMEtigSTw0aiGzd6hBrUbTx6FF4K1fTpvq12Yc4eVLMnp4igAT37Wuba0SFwECR1q01yavpjocP1c2sm5vI4sVhqumAMbd+vZoKPE8eEV9fbeWsXcvgTYCBalqD065eVaUsPTxE/vxTJGtWNQAwIMC6djp2jCmxlfafPt1249TXV6RHD96HIoXo5cWxtmCBNqut2czNwl9/ffJPI2ynmzdV0n76tOXXjy6GDVNPE/RAnz4kxwMGaPv/4GCVHIdpd019yc9PJcd6bPadnRy/2RFKjkNu19SnTAsQ68jx06dPpVWrVuLl5SWJEiWSjh07yqtXr6L8+549e0qOHDnEw8NDvL295ZtvvpEXH+hIAvjotWTJEovqFuvIsQKzWWT7dvUoGaBVsEsXkevXLSoqRpBjBS9f0nqVPr16315eIv36UcvThggMDJR/Vq6UoL//ZsR62CPVXLlEfv/dOh1MW2D7dkaRKwTElgThPYIWLlTbxcLxqgtCQmh1UuowYoTjNi9v3og0bqzW5aefRMxmx425EydoqS1fngoG+/drK+fUKZEMGXhPSZKwn2mBn59I7doRK8bMm2d9Oz1/zg2sUmbr1lQisBUePaJWfbVq4e/FaBQpV44uAxs20PXmyhWSt+Bg/q/ZzA3DrFl0IVNUZIBPKnBE2E6DBvF/K1Wy3f2K0P0NEBk6VJ/yvv6a5Fhree/eqeQ4jBFAU1968UIlx+/eaatPWOzdrjM5vqsfOTabRW6XDyXH5ismkUCNG2iNiHXkuGbNmlKwYEE5ePCg7NmzR7JlyyYtW7aM9O/PnDkjjRs3lrVr18rVq1dl+/btkj17dmnSpEm4vwMgc+fOlfv374e+3lq4ewslx2HEwGMddu7kEWfYiThjRvre/fADLa6DB3OyHDKE0kphEKPIsYLAQFpUwsqxuboyoci5cza65AftdP483VoUKxpAl4XmzSnLpyV5gl4ICuKzV47Ac+e2rfUoDAIDA+WyQgg9PUnI7A2zWeTHH9Xn0ru3/r7q0UVIiEjfvuH8fgPfvHHcmLtzh0kzFNesMBZti/DggZo0xsWFrgxaEBwc3l1MeeXNK4Hv3lnfTmYzE/CYTNwYFCggsm+f9vKig5AQEuAhQ8LLc2bMGPFGIHFiumN8+LmHB+f2T8xpH81NL17wXgGLpPM0oX59XuePP/Qpr0MHkuMxY7T9/5s3KjkOEx+iaZ179kwlx3q4yYSS43zWlyWikuPGLtaX9Wb7e1KMUIIsD23ojhMBYhU5Pn/+vACQI2F0aTdt2iQGg0HuWhAwtnz5cnFzc5OgoKDQzwDIaisHttLYL9zdGZiiUxCbU2LPno8tFhG9mjYN928xkhwrMJtpialQIfw91qtHnVYdEWk7+fnx+D5v3vB6qPHisa2XLWOgkL1w82b4LISdO9v1+oGBgbJm5UoJqV5d9XG9dctu1w+H335T26FdO24aHIUwGexCqlaV9YsWOW7MvXoV3qI6bJg26/rbt7RyKuV8951qCY0uVqyIdK4KWr1av7lp9251fjQaRQYO1McaGB1cv86TpSFDRAoWFPH2Dr+pBhi86eLCsTt0qMh//0X7KP+juemrr+hC06GD5c/DUiikfs0afcpr1ZLkeOJEbf//8qVKjsP4CWta554+VcmxHnPHnm3OSY7NZpHb5VRSHPpysav1OLrk2AaaK/rjwIEDSJw4MYoVKxb6WdWqVWE0GnHo0CE0atQoWuX4+fkhYcKEcPlAaqZHjx7o3LkzsmTJgm7duqFDhw4wGAyRlhMQEICAgIDQ9y9fvgQAGAICgMmTITNmwNypE8z9+gHp01tyq84PHx9gwwYYZs+GqXt3RNZKwTVqQIKCQt8Hvf89KMxnMQrVqgHVqsFw+DCMv/wCwz//wLBuHbBuHcylSsHcty+kbl2rZYYibSdPT6BrV6BLFxiOHoVh5UoYV62C4cYN6sv+/TfE0xNSowbMTZpAatcGvLysqktkMGzdCuOoUTAcOQJ4eSFk2jSIol1sp+cbFBQEmEx4N2cOPAYMgHHxYkjFigjeupXSePbE11/D4OUFU9euMMyfD/OzZwhZtMg6mSit6NoVhnTpYGrdGsZt21Du8mUEFy0KZMli/7q4uwNLl8I4ZAhMv/4KDBsG88WLCJk507K2MZmAefNgzJ4dphEjgIkTYb50CSELFkS7j5vGjo1Ut9T4zTfAlCn6zE0lSwKLFsHUty+MCxYA48ZB1q1D8Jw5lMy0JdKlA776ir//+KP6eWAgpRWfP6fM2sKFH0tLRuPew85Nhi1b4DJjBgAguEULiNmsn6RdBHB58AAGAMHJk4dbV7TC9OYNjABC3Nxg1lLe27dwff9rkNkc2n6a1rmgQLWs4GBuY6yAITgYLqCPaLAefTooCK46lGd4+x9c3u2J4JtgmJ+OQkiy6ZrLtgTRfTYGESufhB0wevRozJ8/H5cuXQr3ecqUKTF8+HB07979k2U8efIERYsWxZdffomffvop9PORI0eicuXKiBcvHrZs2YIff/wR48ePR69evSIta9iwYRg+fPhHn28ePBhF/vkHyc+fBwCEuLjgVrVquNy4Md7pIVzuZEi7dy+K//LLR58Hu7tj7+jR8Mua1QG1sg/i372LbGvWwPu//2B6n072Vfr0uNqwIe5UqACzq+snStABIkh87RrS7t+PtPv2If7Dh6Ffhbi54XG+fPDLmhV+WbPiedaseJc8OXVkrbhe9pUrkXvRIhhEcKdsWVxo3Rr+adLocDPa4fH4Mcr+8APiP3yIN6lSYe+oUQ4Zb6kPH0axn3+GKSgIj/Pnx+Hvv0ewNUkGrECia9dQctQoeDx/jndJkuDgDz84dDxm3LIFBWbMgDEkBE9z5cLhwYMRmCiRxeWk3bsXRSZPhikwEH4ZM+LQkCF4+2Ga5wiQ4sQJZNmwAUmuXIG7n99H3z/JnRv7Ro+2bnx8gNSHDqHgtGnw8POD2WTC5S++wOWmTSG20AG2I1xev0blb7+F59On8K1dG2e6drXtBUVQr2lTGIODsWXWLLzVYWyXHDECqU4cx/FveuF25coW/7/by5eo1aEtAOCf5Su1ax0DcHvph1pftWNZi1ZZbWBJfvEUyvz+I/zSZsTOIZOsKgsAPPyfocayjjAbTFjXfqXmcvKl/hNZk62P8LuA4IT499Jfmsu2BP7+/mjVqlWosTQyOJQcDxo0COPGjYvyby5cuIBVq1ZZRY5fvnyJatWqIWnSpFi7di1coyAuQ4cOxdy5c3H79u1I/yYiy7G3tzfu37+PZEmTwrBrF4yjRsH4PlGAuLrC3L49zAMGABkzRlnXmAbjt9/C9McfEX5nrlcPIUOGAEWKICgoCFu3bkW1atWibP8YhwcPYJwyBcYZM2B4v+iaCxWCVK4Mc4cOFie90NxOIsDJkzC+tygjKAiGmzfD/0nKlJCiRSG1a8OsWJiii5cvYerYEca1awEA5o4dEfLbb46xjiKCdrp9Gy7VqsHg6wvJksUxFmQAhl27YGrcGIZXr2AuXx4hixcD0SBvtkCwry+CqldHwlu3IPHjI2TRIp4oOAiGHTtgat4cBj8/SObMCF69GsiTx/JyjhyBqUkTGB48gKRMiZAVKyAlS0bvn0WAmzdhOHwYhgMHYJo6NfSr4EaNILNnMwueXnjyBKaePTkmAUjhwgiePRvIl0+/a9gJypir8/ffcFm0CJItG4KPHPnYCq03Hj+Ga7p0rMPr18xaaSVM1arCuHs3ghctgnzR1PICHj6EaybOL0H+AaGbKk3z9+NHcM3GE+agFwFWb9AMe7fDpU0tSM58CP5Xh2yez+7B9atMEJMLgpf6ay8nyBfG1zMBCYTxzXwY5BWCPZrA4JIG4lEJEq+e9XWNBl6+fInkyZN/khw71Of40aNHcuHChShfAQEBMnv2bEmcOHG4/w0KChKTySSrVq2K8hovX76UUqVKSZUqVaIVaLd+/XoBIO8s8BOLVK1i505G8Vqp9ODUePeOwuzKPaZNK9KkiRqkBYjUqiVBu3fHXJ/j6ODlS5FffhGpWTO8j1+5ciLz50c7cE4X32yzmdJXf/zBhAwFC4bXSG3b1rLyzp0TyZlTlavSGhSlIyJsp1u3VJ3qLFkc54N85IhIunQM5MyaVeTyZYdUIzAwUNYvWiQhVaqoPrBTpzqkLqG4cEF9RgkTimzZoq2cW7fYrwFKqS1cqLlKQVOmSIiSMCRfPio86AmzmYoqSZKoY2jcONv76eqMwMBAOfj997wHg0H3eItIEdanXy+U9KHP8Xuta4tx5w79jd3CKzhomr8fPFB9jvXA7q30Oa5aQJ/y9AzIew/zzcwivpCgV3bqQ2EQKwPyjoYRWd+8efMnA/L8/PykZMmSUqFCBXkTTXIyatQoSZIkiUX1+6SU2+7dDBhSBriLC0nLtWsWXcdp4esrkigR7236dH52/rzIl1+qSQEAeVSggAR9mAAjtiEwkEEjdeuGu3dJmFCkWzcmCogiKMlmgYv+/iIHDzJga6sFWYn+/lvVrU2fntHxToBI28lZCPKlS6r+bfLk2uXMrEBoG715I9Kxo9oX+/Z1nKqGiMjjx2owp8mkXYHg1SuRZs1EsmVjWYMGabqvwMBA2TV2rJgVWbPEiZkMSW/cu8eAOOU5lCrlsI2TFgTevy9vFQ34/v3td+GwgdB6aafXqyuSK6fIVo2bs5s3RIoWEikRPmOfpvn7/j2RkoVFShXRVpcPsXe7SI3CIh0a6FPe49si3xUW6aNTdkKJI8e6ombNmlK4cGE5dOiQ7N27V7Jnzx5Oyu3OnTuSM2dOOfR+8fbz8xMfHx/Jnz+/XL16NZxUW/D7HfvatWtl1qxZcubMGbly5YpMmzZN4sWLJ0Mt1D6Mts7x3r3hlR5MJkb6Xr1qWWM4I44dE5k27WNryJUrIh07ilmxzADUP3X2pBZ64M4das4qZE15FSpEkhpBylmnUfUICBAZPlytc6VKTDjhJIiynZyFID94oKZk9/BgWnI7Ilwbmc0io0aplsuuXR0rA/juXfgUzL17a7OkhoRQQlIpp379cNJa0UFoO924QcKqWEbf60XrCrNZZM4c6qYDlCGcPNmxm5VoIqRpUxFAzLlz65s5NCrs3h1+7pw2TZ9yc+ag5fiDrJLRhq8vLcde8cJ9rGn+vnuXVuP4Rm11+RC7ttByXK2gPuU9uSPSECJfuOpTnsSRY13x9OlTadmypSRIkEASJkwoHTp0CJcE5Pr16wJA/vvvPxER+e+//wT4OMEHALn+3q1h06ZNUqhQIUmQIIHEjx9fChYsKNOnT5cQCycqi5OA7N8vUqNGeJI8YECMsiJYisDLl8W3Zk0xu7mp912yJCXSYjtJDglhAoOWLUlMlPv38KB1fefO0DZwCnJ84YJIkSKso48PrUSOlCeLAJ9sJ2chyK9fq+mmDQaRSZPsdukI22jxYtVqW7z4JxM/2BRhCTvAdrKQ2IZi0SI1lXO+fBZl5gvXTu/eqQknACZX0VqnqHDjhqobnywZDQYHD+p/Hb2wbBnlAY1GCTpwwD7XfPeOiY/CkuNixfQpO4M3yXEYeViLcPkyyXFir3Afa5q/79whOU6gUwa6OHIcJWIdOXZmaM6Qd/AgMzelTUtXC6ORZOniRdtU1IEInTR8fakFraRABeizvHp1jLCeWI0nT0iQ8ucPP+lnyyYyZowE3rxpP3J88GB43VCzWWTGDFqzAJGkSfXTFdUZ0VqEnIUgBwUx9bryrL/7zi59PdI22r2bhAxgBrozZ2xelyixbJk6HxQqpDlFvRw6pGZqTJaMm85oIMJ2mjlT3cjmyWMbw0VICHWJw54mtmrluH4aGe7cCe0vF5s1s9/GPezJVdjXqVPWl50iOcmx1r5/4QLJcbLE4T7WRI5v3yY5TqgT+dy5OY4cR4E4cmxHWJ0++uhR1bqkWJhatrRZFjZH4KNJ4/59pmOOFy+8u8XSpTEuUEUTzGaRw4d5vB1GqN9sMsm9EiUkSGuq3Oji4UPVl3jhQpL2Ro3UZ1GlilMns4n2IuQsBNlsFhk7Vm3fL76w+dF0lG105YpIjhysi5eXyL//2rQun8TBgyIpU3IOSJ1au2/7nTuqK4uLCzd7n0Ck7XTggJoBLlEikfXrtdXpU7h7l1k3lSBmDw+mh7ZlCuro4uZNbg4KFhRzwYLyz99/24ccX7oU/pQt7Ovbb60v3ysBybFWl8azZ0mOUyUP97EmcnzrJslxIjdtdfkQCjmuXkif8j5TcmydoF4c9EHRosC6dcDRo0CDBpwCliyh3E/z5sDZs46uof5InRr4+Wfg5k3g++9VMf8WLYBcuYA//wTCyOXFOhgMQPHiwIwZwP37wJw5QOnSMISEIM3hwzDY+pmPGwe8ecPfu3ShpNbq1YCrK/DLL8CWLUDatLatgz3g7Q3s3MkkGL6+QMWKQBQyjTaDwQAMHAgsXkwpqhUrgKpVgadP7V8XAMiWDThwAKhQAXj1CqhTB5huHxH+COHjAxw+zEQVDx6wXsuWWV5OunTA7t2cR4KDmRTjm2/4u6UoWRI4dgwoUwbw8wPq1QMmTABCQiwvKyqkTQvMncv5v3x54N07YORIIEcOYN48mybXiBLHjvG5nD8P+PsjeO1aiL1kOP/5h8lLIsKCBVwjrcHbt/ypVYpS6U9W6BuHQrkXvTS2rW2bOABApEmD4uAIFC0KrFkDnDgBNGrETr58OZA/P/DFF8Dp046uof5Inhz46SeS5Bo1gKRJgatXSdiyZgV++00lcbEVCRIAHToA+/Yh6ORJXG3QAOYWLWx3vfv3gWnT1Pdv3wKPHnExPnQI6NvXaiF6p4KzEGQAaNmSG4/EiYF9+4DSpVknRyBpUtalbVsSvu7d+ez1Jn/RRcaMbJO6dUkQW7QAhg2zfLH39OQmREn2NGUKULMm8OwZ3wcEAFOnAhcvfrqs1KmBHTvYNtmzA0OGcJ568MCyOkUHRYqwn65Ywb56/z7nheLFga1b7Ut61q4lUX/wgEaabdsAeyb76dCBz759e2ZaBIAkSfgzTRrr2iIoSO3jWpP0KP+vJznWe87VMaHN54hYtALGIhQqBKxaBZw6RVIMACtXAgULAo0bkzzHNiRJQgvyzZu0zqRJA9y9C3z3HRfNkSNpVYrtyJMH5zp0UBcCW2DMGJKPD1GlClC4sO2u60iEJcivXnEcRYcc2QIVKpAEZsgAXL4MlCoFHDnimLq4udE6OXIk3//6K9CkiX4bUktJjJcXDQR9+/L98OHcUCiWvujCYOB8sno1k1Rs304r6IULQLduQM+e7APRscq6uXEz+eOPJEPbt3Mu3rbNsjpFt95NmtBaO348kDAhcPw4rd+FCvGk6fVr/a8bFpMmAQ0bAv7+QPXqwN697Kv2RPLkbO8//1SttGfP0pp85ox1RDLs3GctOdYj26HeluM46II4cuzMKFAA+PtvTgbNm3PwrF5NC0ODBjz2im1IkADo0we4fh2YOZPW46dPgaFDOUEPHGgbq83ngtu3gUgyGuKPP7gQxlYoBLlwYR5hlylD1wJHIE8eXrtwYVrtK1aka5UjYDAAP/xAa6u7O4+0K1QA7t2zrtz//gtvsY0uTCa69vz5J8nHsmVsn/v3La9Dw4bA/v3cYF+9yrlz3jx+d+ECsD7idLYRolUr9pt8+fjMqldnu2lx2fgU3N2B/v2BK1fUk7XTp0ns06YlWT5/Xt9r3r0LdO4M9O5Nwta1K9tHQ5pv3fDwIYmo0QikSkW3L2tJZNiNlmKVthS2sBw7q1uFDU4sxJQOrwLSwpkdQOLIcUxAvnzA0qXcObdqxYli7VqgWDEeQR4+7Oga6g93d7pWXLzIRTt/flpMxo8HMmUCvv6aBDoO0ceLF9xgRLaYu7k57kjdXvD2BhYuBEqUIGmrUsVxpDRtWmDXLhJIf38SuVmzHFMXgBba7dtptVP8TU+d0lZWYCCPxrdsoe/ulSuWl9GpE62zSZNyjitRAjh50vJyChSgZb5AgY9PTMaPt6ys3LlZl65dSRp++gmoVAm4c8fyekUHKVPSAn73Lq362bPz5GPKFCBvXm4aFi6kT7QWhIQAGzfS2JIhA7BhA0+txo+nD7q9fIwjw927/Jk6tT5EFFDJsbu7dgu0nj7HyumF07tV6FeeAXfgFe8eDE5sLY8jxzEJefIAixbRYtCmDQfThg1cxNq2dZwVzJZwceGifeoUSUzJkvQZ/OMPLhRt2+pvQYmNOHGCgY4K3NxoOe3enf6Xu3apgVCxHSlS0I+0dm0ulA0b0krpCHh5caPbuTP9kEeOBPr1c1wQVpkywMGDQM6cJHxly5I8WQo3N47XDBlIjH18aLW3FBUq0A8+Vy61Pv/8E/5v3rz5tHUrMJBWyA+xbx8M+/dbVidPT7o3LFnC57d3L10eNmywrBxLkDQpXcwuXuSGo1Ejzv+7djEuI0kSkv9u3YD589nmEbWJ2cyN2JUrwKhRPJmrU4d90Gxm3MGePbRaOwNxUchxunT6lalskLQG4wHO7VYRF5CnC+LIcUxEzpzAX39xomzfnrvXy5cZ3FO9Oie32AaDgVby/ft5XFutGieoBQtoQWnUyHF+m84MEeD337mpePiQpKVHDy4Qe/fSl/Lrrxl8Y0s/Z2dD/Pj0be3QgaSgSxdgxAjHLCyurnQh+uEHur1MmMBYA39/+9cFIGE6cIAW0devqdIwdarl5eTPT2Lr48N4gWrVqMpiKRRljWrVSIQbNaJlU4REMFEi4H//i7qMPn0iJscAjJ/638jQogX9gYsUoetX3brc2ESmsqAHjEa2w6pVwI0bvO/s2dkWZ86QtLdvT5KbJg03FRky8DQgXjyuFfHjA/Xr839v3uS4792bRoZduzifOgtsQY4Vy7FWf2PAud0qFDjD5iYGI44cx2Rkz04JoEuXuBC5uDCquXx5Lmz//Rf7dpEGA48St2whGW7cmJ+vWcNj106daMFxlOXNmfDsGdunVy8u2PXr0490ypS4iRMgKZ09mwoEAAOAund3jGuJwUDLoCL1tno1+7mj/OuTJAH+/VfdPAwaxHaytG1Sp+Y81Lw5j6I7dWLcgKXjM3FiWrC//ppz2sCBtHh26cI6TZwYdcCuj0+klkLjnj3Ivny5ZfVRkC0bN+y9evH9hAlAuXL2cfny9uaGbskS+mOvWkWLb5kydBlIk4Zrw+3bJO9hfW2TJ6dV/q+/SEAnTqTLiLMhjhxrLy8OViGOHMcGZM1KX8UrV3is5urKI8zKlUmU7S0DZC8UK0YVj/PngXbtGLCxeDEtOLlz09pl68huZ8WhQzzqXbOG/eG33/h7smSOrZezwWDg8fLUqfx9xgyqBViqjqAXFL/fZMm4+StZEjh3zjF1cXPj5uGnn2iBHD2aLiivXllWjiKtNnQo348fT8u4pYoYLi58TlOm0IK6aRNluQBa2WfOjPx/+/QBXr6kL/Uff9C6mi1b6Ne5Fi+GcfJkbfOkuzsVHlavJok/fJiBlitXWl6WVqROrVrU9+6lD/Ly5bQEHznCPnT9Oq3nr15xfdi5k+551pBEW8NZ3SoUn2M93CpijM/x54U4chybkCkTJ/5r1yhV5O7OibJ6dcpFbdwYO0ly7tyMQD98mPedKBHdTHr2BNKnpzXl5k1H19I+EKEVqGxZ9gflSPrbb+Mmy6jw9dfUl1XUGqpWtVxlQS+ULctnlj07+22ZMiTMjoAiiTZwIMnE+vW0jFqqE200UpZt4ULVMl6+vEp+LEG7duzbH+L331WyHBFcXekC0a0bT9yuXAF8fWEuVw5GAKZ+/UgWtbqzNGzIgMGSJUlOv/iCc1BEsom2hrs7+0/58jQi5MnDNkuZkopAegW32RrObjk2OqHlOA66II4cx0Z4e3Oh8PWlL5mHBy2JdepQUH7t2thJkjNkYNa9O3doXcqenYvUL79Q37ZpU+rLxsZ7B9QFuU8fWjbSp6f0VNGijq5ZzEDjxjxlSZyYR+VlywK3bjmmLtmzkyCXLcvnWrOmNn9dvfDFF7RCpkrF4FgfH/YtS9G6NYMhU6Sgv26JEvxpCXr0iDhxyt27lL60BJkzI2TbNpzp3BliMjHguUwZ+vNqQcaMzNA3cCDfT53K04C4eAhtsAU5DgkBypajK6JWGA2M8cmZU586lSwNFNJpnnZxAYqVATJn16c8CJCrDJCzpE7lxQzEkePYjLRpaUW8fp2BIvHi8VixQQNaUFatip2+uQkScAG9eJGWrqpVeZ8rVpBslCjBRdCWgTP2xqlTtBCtWkUL2ZQpvEdHapTGRJQrx9OW9Ompg1uqFAOdHIFkyShl1qqV6q/7/feOG7MlSnCTnT8/fVzLl2d/sxRlyrCcPHnoA1+uHF1+oouokiB17Gi5X7TBAN+6dRGyeTNJ+8mT3FBqTfLh6gqMHUu3j+LFGR/h48M56cULbWV+rlBOb/Qkxy9fAnv3WCe/9+4dN9BaN1FhYTYDB/cDp3VK7hUcBBzdB1y/qk95AHBpH3DlkH7lxQDEkePPAalT06J64wYDaxIk4ALQpAkzPS1bFjv1bY1GWsu3bqWAfufOPG48ehT48kseM/70E/DkiaNrah3mzOFR7tWrtJ7v3cuF2NbHdFEdYcdk5M3LhS8sedu1yzF1cXenK4LirztmDMmyI47qAVpG9+4FatXi8XSTJqpyhCXInJltXL063RgaN+YcFZ1y/vuPblRdu36srBAQwGBkDe0j5cvTeFCsGElZjRo8ddJ60lSzJjfnTZqwjGnT6Lu9eHHsPb3SE35+TLaSKJFtfI6dJSBP2ewadKJjcX1LF8SR488JKVJwcb1xg7JRCRMysUiLFmqiEVtke3IG5M/PoMXbt6klmzo1rV8//EA3lC5d2BYxCf7+tJR16sQJv3Zt9aja1li5kn3GVskPHA1vb5LAcuW4SH/3HceHI2Aw0F933jxaJZctY/KSx48dU5+ECema1bMn3w8cyPFj6UlMokRUllEUKAYMYDkBAVH/X7Jk9DueMYNj9tkzaiqnTs3v9+zRnlHP25v/r6h09O9Ptwit6bRTpqQixI4dPIJ/+JCuJdWqUUkiDpFD8Ws3magnrRdiu1qFgjgfZqsQR44/RyRLRoJ44wYwbBh9LN3cuAjkysUI9djkchAWKVKQEN+8SY3kIkVILP/8kwS6WjUGZDn7/V+8yGPtuXNpIf/pJxIEe6hRBAWxDS9fJkmLRD82xiNJEh6Jd+rEsdKyJTBunOMsM+3aAZs3qz7RpUo5jmC5uDCuYfJk9r/Zs2kpVeTUgoNp8b76iaNdRYFCKef4cW7ynj6Nfl2SJKFCzf37dIVIkoRuG8WLa/OL9vDg/UydqqavLlWKgc5aUakSXZ9GjWL527czacfQoY5TRnF2KP7+3t76lqu0t7OoVcRJuTkl4sjx54wkSajteuMGCUDy5FwAOnemysGUKbF34nZzo2vF0aO0FDVpwsV5505aY1On5rHtf/85l8uJCIl80aK0fKRMSbeR77/XXwooMri6kqRlyECCXL2645QdbA0PD1oo27Xj+0GDqHbgqBOWSpUYqJc5M8dqqVIMAHMUvvmGm7IECThWSpWiCsS331L5oWHD6C3W33xDF4RHj2hlLVmSG0BLUaUKVWty52YwV7lyJLeWwmCgRfu//xiEeOYM3S02bbK8LAXu7tSKPneObimBgTRS5M/P8RTbcPcu51WtGtIKOc6QQb86AWHIsZNYjkPdKuIsvc6EOHIcBx5v9upFkvzrrxSPv32bC1bmzPS7i616wQYDg/RWrCDZGD2ai9jz53TDqFyZk3OfPiTSjtyVP38ONGvGo2d/f9bz5EnW0d7IkIFWutSp6c9dqxYDXWIjTCYGtk6axP4ycyYtlY6631y5mOK5ZElukFq25NG9o1C7NlVgvL1pyS5UiP61AIngjh3RK6dWLSYeyZSJFueSJbnxsxSKfGHt2jwVatGC2eC0BDKWLUs/ZB8fkqrevUlwrdkcZclCd5IVK+hLe+0are7NmmmTtnNWrFjBgM3Jk7X9v+JWoTc5djafY2VN0cu4EScNpwviyHEcVMSPT99KX18ubhky8Mi8f38G4owaFbujrTNl4r3evs1jz86deYR97x7JUfHiTMs6dCiVDOyJPXsYPLliBY/yxo3jkX+aNPatR1hkz07ykiwZrXX16jku5bE90KsX9Xk9PWnpK1fOcT7XKVOSdNaty/7Zrp12AqgHChRgH8ie/eM+YAk5ypePLhFlytDXu1YtlWhbgkSJ6Bfdvz/fjxpFOTotm/x06RiQOXgwT0pGj6ZPs6Vaz2FhMNCqeuEC51yTiTJ0uXNzExYbYj8UWb2mTbX9v60tx9aQY+X5OLPPsV74TN004shxHD6GhwfT6F69SiWEbNl4bP6//5Ek//BDzFd4iAomE62xs2Yxfe8//9D65OnJNhk5kkoGhQszUt+WWrjBwXR9URZjJV3tgAH2c6OICvnykSgmTMjj/caNPx1QFZPRoIGq93v6NC2KJ086pi6enkz6M3gw348a5Vgli8ePI053vW5dxLrEkSFlSm5O27alha5HD55iWUoYTSaOz/nz1cQjWjWM3d05DpctY1/ft48W8rVrLS8rLLy8eFp37Bgt5a9e0TqtyObFVNy5wzYCuCnRAmf2OVYsx87sc+zEAX4hCQbh7J0OEFN63crUG06wusYixLYdlqsro7YvXqT8UN68PEr+6SdOWKVL04o6YwatO7//Tgvrr786LuWt3nB3B+rXB5YsoT/kokWUh3NxISkaOJCLty1w4wZQoQIwYgQtgu3aMWCpeHHbXE8rihZl9sV48UiUW7SIvTJvANv/4EFa+RSpt3//dUxdjEZaMufMUYPHKld2jJLFV19FnFpahOnLLYG7O9U5xozh+ylTOO60nFy1bRt+Q1O8OE9itKBZM+osK3JvDRqQzFq7ISxYkGRyxgzGgpw4Qf/tb7+1LhDQUVBSZ5cpo12GzWZuFU6mVvEZ+hxLvI649rgBYHLgyecnEEeOdYSpRg36ksU2kmwy0a/x9GlaX4oWpXXqwAFaUbt1I0Hs1Yu+uX37MqgttiFBAlrm1q+nhWz6dJLX1q11v5Thn39omdq/n5aqxYtJFvSUNNITZcrQiubuzoQO7ds7VyCj3siUiWSmUiUe1detS19kR6FDB7rZJE7McenjY3/Xn9q16ZoVEX7/3XILu8HAAMhVq7jx2rKFhPFTChgRoWRJxgwUKcJTrypVOJ60IEsWPvvvvuP7SZPY/60lsUYjg4AvXlQDQLdupatK/fr8PaasLda6VISEqC5LzuhzrKdbBWzkcxwHqxBHjnWE8fhxLpLFivEoPrZ1UqOR0edHjnzaD7BcObtUyWFIloyWsp07aSnVC+/eocD06TD16MH2LlWKpKJlS/2uYStUqaL6RC9eTNec2DYGwiJJElqMleP/r74imXOU32+lSrRoZ80KXL8Ol/LlkfzUKftd/4cfaNk9fJhBvPXrc0MZtn6nT1tebqNGatbCixdJ/LUkZUmfnhbjZs146tWhA5+ZFquvmxtPyNauBZImpVtE4cL6aGGnTEnifuIE3dhE6JpSvTpP76ZNc+4AaT1cKh4+5OmT0ah/XIWeOsfO6Fah4DOyRNsCceRYR4T07EnLyfHjJJGFC8fOFM0GA4lPZP52RiN9ZONgGXx94VKhAjL/+y8Mjx4xmGj3biqGxBTUrUvXE6ORPtt9+sRuguzmRiIzbBjfjxvHjYyj/H5z5iRBLlMGBj8/lBoxAoa5c+13fRcXui307UsDgZ8fLavJkpE4lynD0zVLUbgwSXfx4nRnqFaNriSWIl48EtgaNUKVR0xVq8LDEl3lsKhXj5vXsmXpUtKyJa2/egSmFixI6biLF+lznSABTwN69CDR79NHH5cLs5nBnQsXWl8WoI9LheJvnC6dPgQ0LPT0OXZGt4rYPN/aEXHkWEeYhw2jn+jgwZzITp1iRHKhQjxmim0kuV49yhp9CLOZ35Uvz4Uwtt23LbB6NVCkCAwnTiDAywvB69axH+m9MNgDzZoxiQJAX1Ml9XFshcHAYK158/i8li8HqlZ1XNBq8uTAtm0wt2gBY0gIXBxp0TYa6W515Qp9oV+/pkX5t98sX8TTpKHFuHlzWhU7deIG0lL3HYOBY2vjRiBxYhgPHUKFvn1hUKydlsLbm3rIP/zAsmfNYkDd+fPayvsQOXNS8ePuXW40smfnpmPiRP5euzZ1ztesoQ98dHHjBjMvZs3KU59vv9UnmNZalwrAdv7GwOejVhFnObYKceRYbyRPzgCZmzep7pAwIQXkmzWj2PvSpbHLF3P4cE6sClxceK+urjzCrFsXKFAAhgULYIjNQVpaERREK1vjxoCfH8wlS2Lnr79CatRwdM2sQ/v2DKICqKIwbpy+5TujdUTJYJcoEY+VO3YkKXQEPDwQMn8+LjZvzvfjxnFcOkpqT3FB6dKFJP2773j6ZOmc4OnJ4Ngff+T7X37hKZ0WzemaNYGjRyH58sHjxQuYqlVjVjwtfcvFhfEXW7Yw8O/cObrXzZmjX19NmJAbjYsXSexr1iQx37SJgYuNGtHSmj4955OxYxmguXQpA/3GjSOJ/vprWs4zZ+aJx40bLLtpU+vdNfRwqQBsp1QBOK/OcRyZdS5IHKyGn5+fAJAnT558/OWzZyLDhokkTizCYSCSM6fIggUiQUH2r6wt8PChSLp0vLdOnfjZnTsi/fuLeHmF3rd/smQSPH68yMuXjq2vs+DmTZGSJdV+0bevBL55I2vWrJHAwEBH104fjBsnkjmzSPLkIgMHipjN1pf57JmElCgh+3780Tnb6dw5kSpVRNzdRZImFdm92yHVCAwMlDVr1kjQvHkibm7sYyVKiNy/75D6iAif/4QJIgYD61O1qsjz59rKWrJExMNDpEgRkQIFRHx9NRUT+Py53C5XTh2H7duLvH2rrU4iIg8eiFSrppbXvbvIo0fay4sK9+6JzJol0qUL28BoVK8LiBQqFP698qpSRf25aJGIv/8nL6X0pyjH3G+/sdwyZay7r169WM6AAdaVExEKFRRJlFBk+3btZQz9n4iLQeSbHuE+jlYbfYjdO0U8IVIol/b6hMWGFSLpINKwtD7lPbgu0hgiLTz1KU80tpNOUPian59flH8XZzm2NcKmaB45ku8vXWJq1Tx5qMEZ0wXfU6akxaxvX1orAFowFA3gsWMhqVPD8+lTmAYM4FHZkCEMuvhcsW0b+8Dhw7Q0rl5NK5irq6Nrpi8GDOBx7ZMntFx17Gh9fx8zBsbDh1Fy5EgYtCoO2BJ58tB/s0AB+sdWrUo/bAdBWrVif1OStfj48DTLETAY6Cv7zz+Mz9i2jUGnWnxnW7RgQOybN6pEm5ZAvfjxcaxPH4SMG0c3kHnzGFCsVb88VSpayUePBtKmpeU2Vy66W+jt2pImDZMVzZxJN76XLxmn8MsvauBhxYq0rrdvz7H444/8ef06279VK+usqGGhh0sFQApftiyTLumNly/5stZyLKKPwoTep2AGA2CAfpboz9WibSeyHqsRpeX44z8WGTNGJFkydRefJYvIwoUiAQG2r6yDEPjypRzv0UPM2bOr9+3uLvLVVyJXrji6evaD2Swyfrxq4WnRQuTatdCvHbmjtilmz1bvuW5dkTdvtJcVECAhrVqp/WjoUH0s0nrjzRuRxo3Veg4bZtd6ftSXrlwRyZFDJFMmkfTpRTZtsltdIsTJk6wHwPlQq4X9zh2RYsVYjouLyPTpFv17uHbaulWdm5MnF9mxQ1udFBw/LlKwoNoHSpYUOXHCujIdhE/OTbduqfd55451F1PabP1668qJCGlSixhg3XMYNFDEBJHveof7WNP8vXMHLceFc2uvT1hsWCGSHiKNrLTeK3h4I85yHAc7IGFCBsfcuEHLaooUDKL49lsGV/zxR+zMMObhgVvVqiH4zBkqePj48D5nzKB1oGlTSsTFZrx+zWCiAQNoQWrfnj6JWbI4uma2R8eOtI57eFAnulo1WlW1wM0NIXPn4pJinRoxgrJcgYH61VcPxItHS5qSwnjYMMq+OWp8Z8tGDeSiRekbWqcOfWwdhYIFackuVgx4+pSxC3/9ZXk56dLRWtqiBU8lunUDevbUloimalXqIRcuzNOOatUY+KbVule4MMubOJFB2gcPsv1799bmJ+3MmD2bOtIdO2pXqQDY1tev83dbKPV8LlJu+Ewtvjohjhw7CgkScNG8fp0RyK6uPMb7+mtGD0+erA7i2ASjkYEjBw7wCLROHU4OK1YwwrtxY2DBgth371euMBHB33/zWU+bRmKs13FmTICSyCBxYiY3KVdOFfq3FAYDLrZujeBp0xgUM38++5KzEQ6jkZvgmTNZz4ULqVerVTrMWiRNSg3qdu24QevZkxtzRwUJKwoUX3xBMvvdd9xEWOp+4OnJ+/rpJ76fOpUBa1o2YEqClzZt2C59+gBffqk9mNHFhWT44kW6OpjNnPNz5WLAnDMGl1qKgAAmRTp+PHyAtha8eKGO40yZrK3Zx3C2JCDK849LAuJUiCPHjkb8+NTF9PVlFqn06SnZ8+233DX/8otzC75rhcFAqbf16+kv2LYtLUmrV/P3NGm4cNsziYGtsH49rWPnzvG+du5kpP7n6MtVtixVTNKlo9RV6dJWZXKTzp2pt634r5Yrx/HjbOjShaoCCRPSylmqlOOULNzcgLlz6RMLcCPeoEHEqZ/tgXjxSBKHDKGP7vDhJMtv3lhWjsGgSpolSEDtXq2Sap6e3HBNnkwCtHgx+6pi0dSCdOl4n5s304p//z6t3TVqAJcvay/XGbB0KWNI0qWz3t9YaeNUqdg39ITZrJ7cWEOOzTpajm2VPvpzXF90RBw5dhZ4epIMXr3KHXimTJxs+vfn76NHO59VTC/kz8+FaMMGHpFnzEgdz6lTqRFdvDgtbzHt/gMDuVi3bcu6lynDTFqlSzu6Zo5Fvny0HOfMST3TsmV5kqAVtWvT+pgqFTdaJUs6LuAsKlSrRotkxozqScKePY6pi6L1u3w5XV02bOBzUPRl7Q2jkZJ/AwaQvK9ezfpoOVlo0ID9K1MmBvqVLKkt8YjBwOQb27fT/e3UKWbUiyz5UXRRvTr75/DhTLe+dSvnwKFDY+aJmQh1qwGuYdYGFSvk2JZWYyBOyi0OUSKOHDsb3N05AV++zGP3bNl4BDtkCBfVYcOA588dXUvbIF06akP7+tK60rQpJ9qjR9kmadNS+P/AAec/Ojp3jn7VY8bQl7xHD1qy9E6FGlORIQNTAvv48Oi7ShVtBEZB0aL058yVi4SqbFmSGmdDvnysp5LpzcFKFmjalCcZysaiRAmON0ehTRsm1EiRgpnnihenX7KlyJ+f/1e+PC3i9eoBP//MeePOHZ7kfPNN9MqqUIGb2i+/JJFt0IBuEtb4jnt4kAyfPUvLcWAg1Yzy5eMJQ0zCrl18Vp6ePAW1FvbwNwacJ0Ne6FrmrBnynHyttRHiyLGzwtWVQUYXLtBPMXdu+mINH06S/P33jsvAZWsYjbSuLF/OheyXX2hlfPOGG4bSpbn4TZrkON/NyGA204pStCgXjGTJgIEDmRDDzc3RtXMuJE9OAlurFhetBg20BWQpyJSJFsPy5Wmpr1mT/uvOhtSpSUgbNyYp+vJLjmtHbfh8fIBDh0jMHjxg+61ebX25ItrcokqXZnCuUp8KFeiOYClSpCCZ7dqVdRkwgG3dqBHJ7pQp0a+ftzcDzvr04ftJk1jPq1ctr1dYZMtGMrxiBY0Dvr48CfniC8dZ8S3FxIn82a4dfdqtxY0b/GlLcuziYp1LhOJzrGdAnl4+xwri3DSsQhw5dna4uACtW9PCsHw5tVNfvaJFMmNGoF8/LiCxFSlTUj/5wgUeQbdtSwvFuXO03qRLR53OHTscn6b6zh2S+u++o1WpVi0enzZurN81Hj2iy0lsQfz41Lz98ktaY9q1o4VPK5IkYZYyRbmgbVsGaTnbSYOzKVlkzEiXj5o1SSCaNFEtrVoxdizVC37/XVt99u9nhs137/g8hw2zvD5ubnRT+/13ko/Fi8NbxsePt6ysCROAdeu46T1+nPe3ZIlldfoQBgPb+8IFznUmE7ByJQ0i48Y5zhc8Orh6le0BcD7WA7a0HOsRjAfoaznW2+fY2ea6GIo4chxTYDTyCPTECVp1ihRh9PSECZxE+vXTHvkfE2Aw8Kh8/nxK3yn+yAEBXJyqVKEk3Jgx/N7eWLqU1uzt2znxTptGNwE93SiuXqW1qlEj60mUiPMc37q68rn27cv3AwawP2vd7Li701Vh4EC+/+EHWg+dLX15REoW3bo57jQkYUISnR49VEur1nYToRXUbGbK4549LU/+4uXF4DqlXwwfDrRsablfrsHA6/fq9fF3y5ZZHmRXty5PhRSXjVatmIjD2tTcXl48JTt+nOP8zRvOK+nTM0DbGYP2Jk3is65dm6d7esCWPsd6yLgBMcPn2IktvYaA5ciYcgtgdt5EYHHkOKbBaGS2o6NHSb5KluRu+MgR6uV27uy4KHh7IXFiSt6dOMHj0W7duLBcu0Z3ky++oBrAqFFcaGxpUX7+nJb9li3p9lK8OOtlCzWK168ZpPnff9RItua++vfngjZ4sHNYGoxGEgPFarx7N63JWjcBRiMtl1On8vd//yWJ0SuoMzCQfvDWqBcoUJQsypalG4gjlSxcXOhuMGkS2+3PP2lNtjTOwWAg6R8/nr9PnUqpPUtPPUwm9os//2Tdli2jm8X9+5aVc+hQxJrOISEwKsFkliB9em6Ehw7l/c2ezbF/9qzlZX2IAgV4SvbPPyRzL19SNSNnTj6L9esdJ70XFi9eUPUE4GmZHhCxj1uFteTYFm4VTkxm9Ybp7VAUyjINhhAd5k8bIY4cx1QYDCQ3+/fTr87Lixae2bMZlNSiReyQQfsUihRh4pT79zlRly9PX72DBxncV7QoXS86deJRpZ6KFzt2cCFbvJiL+NChPJrWy4LyIQoVYgIVFxdalBTLqBYoFu2xYxmY5GiXFAX9+vHeLl7kiUD16tqThQDcRK1ZQ6voihWUetPDl3PIEJK/kiVJvKxFtWrsx+nTq0oWWlIh64VevdQUzzt2aEvxbDBwE7ZqFd1ItmyhRdTX1/L6dOpEqb6kSWkIUDah0cWiRZFawI3TpyOeltMmFxdas7dv53g6f571mjXL+g2n0Uhd8PPnGZxcty7bc/NmBhfmyMFTQz2Cs/39eWrx77+W/d/06UCiRDwxs1bbWMGjRySwBgODdvWGQo6tCcYDnNty7AzGjtgAO2Xsi9WwKH20LbFvH1PzKik8AZE6dUT27nVsvcTO6SJv3xaZOVOkYUOR+PHDt0fTptaXHxjIVMDx4rHMbNlEDhywvlyJZjv99Zd6PxMnar/YjBkiBgPLaddOJChIe1l6Y+tWkYQJWbecOcOl2BbR0J+OHBFJlYrlpU0rcuyYdfW7c0ekUCGW5+Ehsny5deUpePBAxMeH5bq6isyfr7koXcackuI5e3aRjBlF9uzRVs6xY2x3JS2z1jnpyhWRXLlYTrx4IqtWRe//7t4VGTRIpFIlkQQJws8JgAR6ekrgrVva6iQi8vChSM2aapnNm4u8eKG9vIhw7ZpIv34iSZKo1/HwEGnUiCnp//tP5BMpcUNhNnNMdOsmkigRyypdOsp/CdefbtwQ8fQUcXPTNw35gQOsi7e3fmWGxaZNTB1duJB15TRtwvTR06aG+1jTmFv3D9NHl/exrk4K/lnK9NFNK+pT3sPrTB/dMp4+5YmI+VEWkQeQoDcaU8Zbgeimj44jxzrAacixglOnRFq2FDEa1Um0fHmRf//lpOgAOCyX+rt3JFrffSeSI4fI3LnWlXf9ukpeSpcW6dpV5NUrPWoqIha009ixrIPBILJsmfYLLlwoYjKxrCZN2F7OgtOnuUgCIilTihw6FPqVpv5044ZI3rwsL358kXXrrKvfq1fhN6OjR+szvvz9uYlTyv3hB5GQEIuL0W3M3bsnUqMG6+LmJrJggbZy7twRKVLE+nKePxepXl17uwcHi5w7x7kge/bQcsxp0ojs36+tTiJ8RuPHi7i4sMwsWUQOH9ZeXmR480Zk1iyRAgU4p4Ul+gYDNw9t2ohMnizy998iS5aITJsmMmqUSN++Iu3bi+TPH/7/MmUSGT48yn4Wrj81aKCuK3quKYsXs9xy5fQrMyzWrxPxKSHSorl15XzTQ6RMKZG/wm9eNY25TetFKpYWad/aujop2LhKpEFpke/a61PeA1+RwaVF/qcT2ZY4cvzZQGnsZ2PHirx96+jqqLhyRaRLF1qglEmwSBGRFSs0LbbWwGHk+ENYc98rV4okTsx2TJw4+lYrCxDtdjKbRXr0UInGzp3aL7pmDcsAaP1680Z7WXrj7l3VQuvpybqKFf3pxQuRatVYntFIAmENgoNFevVSx1fHjiIBAdaVKcJ+OnhweEukhXOLrmPuzRuRxo2tJuzy+jUtndaWExQk0rMny0iaVOSrrzTPvYFnz8rL9OlVa/2MGZrKCcWBAySbSnm//mqbUxmzWeTsWW6UmzQRyZDhI4u4ZMv28WeASJkyIu7uIq1aiWzbFq1noPSnoFWrWIaLC6+vJ0aPZtlt2+pbroLFi2k5rlLZunLq16XlePaf4T7WNObWrKLluGIp6+oUWt4SWo6bVdKnvAe+Ik0g0jq+PuVJHDn+bBDa2IBImjScDJ2JYNy+Tcup4gYAiGTNygl19mxaUGbOFJk6VeS33/hTZyu405BjLXj7Vl2IAVqOr1+3yaUsaqfgYJVoJEokcuaM9gtv2aL2j/Llo388aw+8fClSq5ZqGZs0ybr+FBgo0rmz+jx79WJbWoPff1dPaipXFnn2zLryFMyZo1oiS5Xi8X00ofuYCwkRGThQbbdmzWjldlQ5IpyrChdmOSVKcDNlIQIDA2X9kiUSEpa0d+5s3SnK8+ecXxMk4JpQqJBurldR4uFDkQ0b6PZVpw7dpSpW5DzRqRPdMn76SWT7dov7aGBgoKxbtkzMCvEfMED/+n/1FS3uEyboX7YI1zsDROrWsa6cOrVIjufNDfexpjG3eiXJcaWo3VqijThyHCXiyLEdoTT2C8X6UKqUSIoU3NG/fOno6ql4/Fhk6FDV+hnV6/vvdb10jCXHly+ri6+yINjwHixuJ39/WoEA+obevq394nv3qn6+xYrps0HSy2IWFMSF8/1zCO7VS9asXKm9P5nNqmsKIFKvnvXuMRs2qP6suXJ95CetGTt2qGM2Uya6BEQDNhtzYQm7jw/9pLWWo5xqlSghcv++tnK2bVP9cNOmtdiVIbSdAgJExoxR/fBLlLBuPJnN9EUPO9927qy74cFeCAwMlEtffKH6BL9+rf9FKlZk+Vpdbj6FKVNIjpt+YV05NauTHC/4K9zH2sjxCpLjKmWtq1NoeYvjyHEUiC45jjFqFc+ePUPr1q2RMGFCJE6cGJ06dcLr16+j/J+KFSvCYDCEe3Xr1i3c39y6dQt16tRBvHjxkDJlSvTv3x/Blupxvkfw4cOMVHZxAR4/BgYNopj9iBGUvXE0kidndPXNm0xbGxXKlLFPnZwZixdTDePECbbdxo0U5Xd1dXTNVHh6AmvXqmmTa9XS3tfKlKFMXLJklArUIpkVFgcPAnnyMBGKtXBxoZrD2LEAANPkySj+88+qtuyhQ5STiu69GwxU+1i+nLrI69bxfhXVgqdPqY9siTRX7dpMiZ0+PdU2SpZkqnNrUakS2zJrVspclSpFhRpHoUMHXj9JEra7j482CTOlnKRJmeq5RAltCjtVqlDBInduPr/y5Tl2LYXBwDn73395b4cPU+1m927Ly1LKa9oUuHSJ0osAJely5qSqkLMoxEQXFy8i25o1/H3yZCqZ6A0l42C2bPqXDeinVhETpNw+I2k4m8BOZN1q1KxZUwoWLCgHDx6UPXv2SLZs2aRly5ZR/k+FChWkS5cucv/+/dBX2N1CcHCw5MuXT6pWrSonTpyQjRs3SvLkyWXw4MEW1e2jgLzAQJF588IHSyRMSGvs48cW37vNEPZoOewrWbJoW6eiixhlOX73TuTbb2mJVdwM7tzR/zqKZSnMkb7mdrpxg8e3gEiFCtYdCZ87p5aVLRvLthRmM9tN6fvbtmmvz4dYskTM732kQ0qUoL+1YvHWctS7fz9PehSL2OHDDLYERIoXt7y8u3fVwDN3d5GlSy0vIyI8fqyeEphMdIWKAjYfc5cuqT6tXl7aVQsuX1bnyvjxtZfj50dXAmUeGzzYIl/acO107ZpIwYKqb+2kSdYHnu3ZI5Ivn1q/UqVETpywrkx7IThYQt4HQYbUrm2bwG5/f7VtHj3Sv3wRkREjaDnu0sW6cipVoOV4efhgaE1jbsUyWo6rlbeuTgpWLaLluLmVftUKHlz7LC3HMYIcnz9/XgDIkSNHQj/btGmTGAwGuRuFj1mFChXk22+/jfT7jRs3itFolAdhjgX/+OMPSZgwoQRYEFQTqVpFcDAjhcNOiPHiMWJY6xGinggI4AQdmWtFjRq6KVzEGHJ8965IyZLq0fj//mc7iTMlkKtnz9A2tqqdTpwgSVH8OK0JPrx2TQ0q8vYmEbIUT5+qBNnFxSpZsg8RtGOHBCguDIrahrKx0+K/eu2aKhGmuAworzAqGdHG69ci9eurZfz0kz6E4t07kdat1XL79Yv0OdtlzD15ws0YQJ/r33/n5/fu8fPoGhqePaOvdoUKdGv45Rdt7RUcHN6fuV69T7q2RdpOb94wYE0pq00b7b7R6sXoT6v0XaORG3Fn8vGPCN99J+b48eV+kSISePGiba5x7py6mbaVqtL335Mc9+plXTnly5Icr1wR7mNNY+7vpSTH1StYVycFCjluUUWf8j5TcqzDmYDtceDAASROnBjFihUL/axq1aowGo04dOgQGjVqFOn/Llq0CAsXLkTq1KlRr149/O9//0O8ePFCy82fPz9SpUoV+vc1atRA9+7dce7cORQuXDjCMgMCAhAQJnPXy/eJJYKCghD0odB8kyZAo0YwrF0L05gxMJw4AUyYAJk6FeZOnWDu0wfw9ra4TXSBwQAsXgwXHx8YHj0CAEj69JAiRWBYtw6GzZuBzZshuXLB/M03MLduTTF/DVDa5aP2cSIY9u2DqUULGB4+hCROjJDx4yE1a3JptEG9DSVLwmXyZGDKFISkTQtzv37WtVPevDAsXw5TvXowLF/OMseN03a85u0N7NgBl1q1YLh0CVKuHILXr2cikujCywvYsAGmTp1gXL4caNcOIb6+MH//vdVHfkE+Pjg0ciQqDhwIQ2Cg+sXTpwhevBjStq1lBXp7A7t2waV4cRhu3YIAUGponjwZIUomsOjCzQ1YtgzGQYNgmjQJGDIE5kuXEDJtGr/TCqMRmDMHxixZYBo5EvjlF4S8fQvzqFEfHXPbZcwlTMhn/PXXMP71F/DNNwg5cwaGY8dgPHYMsns3gtu2pUtIVEiQAFi7FsbvvoNp1y6gXz+Yz55FyJQplrfXyJEw5M4N01dfwbBuHaRkSQSvWsUMohEg0nZydQXmzoWxSBEYBw6EYcEChPj5wTx2rHXH/t98AzRuDFP//jCuWAFMmgRZtozzTfPmTnccbpw+HaaJE2EAcKdSJST09rbNfHjxIlwASNasml0bPwXjmzcwAQhxd4PZinswBQfDCCAYgIQpR8uYMwQFwQWAGQaE6NCuhuD35ZlFl/IQFARXcBkM1um5m0RgABAcEhyu/eyB6D4bg4ji8OK8GD16NObPn49Lly6F+zxlypQYPnw4unfvHuH/zZw5ExkzZkTatGlx+vRpDBw4ECVKlMCqVasAAF27dsXNmzexefPm0P/x9/dH/PjxsXHjRtSqVSvCcocNG4bhw4d/9PnixYtDiXeEEEHKY8eQ8++/kfT9vZhdXHCrcmVcadIE/mFIuj2R7MwZlP7xRxjNZpz45hvcqlIF8R48QJYNG5Bh2za4vvfTCvTywo3q1XG9dm28S5bMIXW1CUSQadMm5J89G8aQEPhlzIjDgwbBX8kiZ0NkWbsW+efMAQAc/e473K1Qweoy0+/ciRzLl8P95UvcLVMGp7t21ZzJye3FC5QaPhyeT54gIHFinO7aFU/z57esELMZeRYuRPb34+5mlSo41b07xBp/PbMZxcePR9qDB8MRWQB4ni0bdv/yi8VFev/3H4pMmvTR5yEuLtjy558ITJxYU1UzbdqEArNmwWwy4X7JkjjdtSuCvLw0lRUW6XftQsZNm5Ds0iX4ZcmCQ0OG4F3SpFaXqwkiyL5qFfIsWPDRV1fr18e5jh2jXU6WDRuQb84cGMxmPMmbF0cGDkRgwoQWVynx5cvwGTMGHs+fI8DLC0cGDLC8775HsjNnkH/WLHg8fw5jcDBOde+Ou+XLayorLFKcPIkC/2/vrMOjOro4fHaTECEkwYNDkOBWIEWDFy1QHIoX1+KU4pRCoTi0UJxSKG4f7lLcvQSXYAnEk7Xz/XFy9+4mm2TvzI3ReZ9nH8jK2bmz9879zZkz5yxfDu6xse7vy5SBm337QnjevNy21SDH5cvw5YwZoDGZ4F7nzvBv27bJ9l2Fd+2C0qtXw6vq1eHyqFHJ8h1lf/8dCh08APc7dIAH7Tsw26k1ZhRkDngI58eNh7eVKnO1Kc/ZU1Bp8Vx4X6oM/PPjNC5bAAB5L52EL9bOg3e+5eDc4Pg6RSluYW+gwc5+YHB0gf913MRtDwCgfvm+kNHlLZy6PRM+hhdXxaa9REZGQqdOnSAkJAQ8EhtXUsSPnQBjxoxBAEj0ce/ePfzpp5+wWLFi8T6fPXt2XLp0qd3fd/ToUQQADAgIQETE3r17Y8OGDa3eExERgQCA+/btS9BOdHQ0hoSEmB8vXrxAAMDAwEDU6XRJP2JiUH/gABqlJWcANDk4oLFrV9Tdvm2fDZUf+s2b0fDjj6iLjLR+7cMHNPz6K5oKFZLb6uiIxvbtUf/PP3bbj4iIwJ07d2JERESqHF+Cj5AQNHbtaj42Y7t2qPv4MUXbYBg6lPrVyQmj9u5VpZ/0f/yBpthd98bWrVEXFsZu7907NLRrR23MkAH169ezHeeiRWiKTXdmbNAAdR8+MLcp6uRJ+Xy0ERKkP31amc2YGDRlyZJgiJFh7Fi+32PPHjTGhh+YihRB3Z07qpw7+hMn0JQtG9nNmxd1ly6ZX0uNa84qHZr0+3h4oC44WHF/mWLjyE0+Pqi7fp2tTU+eoPGLL8zjlmHRonjvsbufnjxBY82a8ljRvbs6Y0VYGBomT0aTi4t5HDCMHo26T59S7Hez+bh4EU2x4R/Grl0xIjw8Wc8nQ79+dK2NHp1852fXLogaQMOMn7jsmCpVQHQA1O/ZzXYuWTz0G9YiugIaG9VV5Rj1m9cg5gU0tq+nTr+9uI/YGtDU2V293+FtIcQ3gFGhx5Ltt07o8eHDh7Qfc/zu3Tu8d+9eoo+YmBhcuXIlenl5WX1Wr9ejg4MDbldQiCE8PBwBAA8cOICIiBMmTMBy5cpZvefx48cIAHj16lW77XJVyDt1Sq4+JcWgdexI1cHSEgYD4o4dcnyh9KhWjTaVJRGXq9OlwZjjBw+oxLTU76xxjrwYjRQjHCskjs2fr04//f23nCqrQQO+VGWRkZS3VfrdZ89m66s9e+R8yuXKMW901IWE4KMmTeScq3EfDg7Ki3HMmUOlqhOKwb93j6mtZm7elAs1ZMlC174aWMZLu7sj7t2LiKlwzW3alHDfLVmS9OfjcucOojQp9/Bg36gXGWkdO9y/v1U6RkX9pNcjTpokp3srUUK9sfrxY+uKiwUK0NiawgWbEJGu08KFKYa/Th3EmJjkP5+kqocrVyaPfUTE9u0o5njBAj47FctRzPHBg1ZPM/XRxj8p5rhpfb42SWxbTzHHHVWyFxgQG3Psro49TB8xx+lqQ97ly5fNzx08eDDJDXlxOXPmDAIA3rhxAxHlDXlvLRLrL1u2DD08PDBawW5/VcpHX7ggb+BxdKR8nc2bI549y24zubh6lSoYWVbey5+fBFMC2TjSnDheu5Z2xgPQDUnNbAosREWZN69FZs2KOrVy5B46JB+nnx9fjlWDgTYPSb/54MFsxTMuXaJy0ACUEYRBXFidT0+eUHaYbt2sC93Urs1WjOP1a9pI268fXYeSPS8vKs3OQ2AgZcAAoOtn3bqkP2MPHz8i1qsnT/QWLEBdTEzKXnPNmycsjr282ETe+/dUSlg6roUL2SZlJpN1DuM6dczXAtPYdPy4nNHFxQXx99/Vm1jv2kXCGADxiy8ok8e8efQbJzc6HeKoUfLv1rOn+RpK9jHcx4e+8+TJ5LGPiPh1cxLHSWR6SZJypUkcHz1q9TRTH21YR+K4WQO+NkmYxbFK9pJBHBuD6+KnxwVQFynEMTeNGjXCChUq4IULF/DMmTNYtGhRq1RuL1++RF9fX7wQu7M8ICAAp06dipcvX8YnT57grl270MfHB2vVktOlSKncGjZsiNevX8cDBw5g9uzZ+VO58XDtGuKwYfIgDkCiad++1PFqJkZgIBUVkdJgabV0w2jVCnHLFqud3WlGHIeGIn77rbWASo40bSwEB6OpRAnyIJcsqd7N8Px58lRKni6ewgaIVAFS6r9Wrdh28D9+LHtpPTzi3WSSItHzafZsKjUNoE4xjj//lPvP3Z2uRR4iIqy98BMmqHNt66wr/xn698ddPIVSlPL0KWWnqFFDLkdu+ahbl+04o6MRe/RI0POriN276TfMlInS4l27xj42vXsnV24EQGzbVr1rNiKCrjPLUB83N0pBdv26Ot8Rl+fP5RSGAJTRwWL1JVnHcJ1OzjrDUOXQbho2IHHMW2SkVHESxydOWD3N1Ed/UlgFNv+Kr00SW9eleXFsCvJBfA+ojzytmk17+ezEcVBQEHbs2BHd3d3Rw8MDe/TogWEWy8RPnjxBAMDjx48jIuLz58+xVq1amCVLFnR2dsYiRYrgqFGj4nXI06dPsXHjxujq6orZsmXDESNGoF5h6i5VxbHE/ftU7tPSO1u+PC1d8pa6VZuoKFoKs1y6BKAbUNeuiAcOoC4yMvXF8eXLcl5WrRZx2rQ015e6gACMlG6IvPmKLblzBzFPHtnLz5KazZK//5YFUNWqbPm7g4Jkr6BCL2qSN6Hr1+U81dmzUy5jHoKD5epdWi1V2uLBaEQcO1a+Vjp2pOuIF5OJJgexk+s3FSuiLjUqskVGknCYPFkuq81znCYT4i+/yE6DevXYS3Tfvi2HL7i6on7NGvaxyWik1GzSOF2wIE1G1SIsDPG336zTgQLQBGTjRuWhQ7Z4+5aqRUrXi4cH4tat8d6WrOL44UPz75GsTqCaNUgc2zg+RRQvSuL4tLW4Y+qj9WtIHH/diK9NEpI47tQw6ffagxDHAlaSRRxLvHiBOHy4vDQOQLFgy5apczNVE5OJlp3HjJFjK2Mfphw58FGTJqg/dSrlPeAmE3lhpBtYvnzxBrW0gk6nw2Pz5qFJylf87bfqCfinT+ViC9mz02SBh5Mn5dK4xYqxeWijohDbt5fPlWnT7Do/7LoJvXoll/52diZBz0NMDGL37nJbhw7l/21WrpTzKlerpl7xg+3b0RTrPTeVKsVWyEVNli2Tj/PLL9lLTu/aJY+FxYqxT/KCghAbNTL/lgHNmqEuIoLNFiIVjpHiox0dScirGStsMtH11q6ddR7uHDnIq75iBa062ivKDAZaAfnmG9legwZUvCZ2w3pcklUc799PbShdWn3bllT6gsTx//7HZ6eoD4njc+esnmbqo3WrSRy3aMzXJgkhjhNFiOMUJFnFscSHD+SFsVxm8/amQTgtJpA3GhHPnEEcMAAxdje9+VGwICVjv307+dsRHIw4cKB1GEBQUPJ/LyPS4Ko/cACxaFEKU2nTRh0PESKJr9jd+5gpE+KxY/T8xYuILVpQPLkS7tyRJ0I5clA8MSKdr8OG2bfpzGikynYAiFWqUJxjEjcXu29CYWHWsbA//8w3OTOZEGfMkO01b8630RGRfgNpklGoEOLdu/S8wUAb2eIs3dqL/tw5jMqcmezmzKmuR5OFo0fl4yxQAPHWLTY7N27I51zmzIpDcswYDIjjx5t/S2OtWuyiHRHx0yfzxloEIPFtsZ9FNV69ontBrly0mmg5tjo70zXUvz9NvLZvJw/zkiVUHW7oUBpPLGPpAWg/wp9/JjrZS1ZxvHgxtaNlS/VtW/L114hf+iGeZLumzHzVALHyF/J4FwvzhryqFRD79eJrk8SujYiNKiJ+310de68DEEdVRPyhqjr2UIjj/wwpIo4lwsNpc4a0BCZtdunblzxjx4/TDto9exC3baOB8eLF5G9XYuh0qN+9G5/7+5tTA1nF/I4cSZkw1C4ZeuMGbfLIlInCKZYuTXtx23GwGlz37JFDFxo1ojhENQgJoQ1JAGR/8WLalS4tVyvl1Sv5Ju3mRr+lFLvo42O/B23FCtkrWK9eovGbim5CBgMJdemc69WLPWZVYtMmEiIA5J3mjVu/d0/ekOTpSRtER46Ul7mTqPJmC51Ohwf++ANNZcuSHRcXyn6QmsQtOc3qwXvzRq7u6eCAuGoVc5P0mzejTopRz5OHrSKihMlEm71i07JhrlzxMhqohk5Hk89Royie29Mzfpy3dF3HfZQsSY6WoUPt3hCbrOJ46lSatE+YoL5tS3wKkeeYN8wqfx7yHF+5YvU0Ux+tWUme42+a8bVJYsta8hx3VimG+fVDxDaA2CWTOvZQiOP/DCkqjiViYuiGkFjqKenh4JDq3lLzoPHpE4n4Fi0ozKFuXeu2FitGy4QrV5Kof/6chIFSUbtxo5y5oGDBeINYWiXe4HrokHwcNWqQd0oNoqLIi27rfGFZqg4JoWVZAOvNpKBwCXPvXlkglyxJmShswHQTWrRIjn9NQnzbxT//yJtRc+dW7nWPy/v3tEkMwDpOF4Amdgox91FQEGLTprKtGTNSd5IYt+T0ggVs7YmKolLakq0BA5gmPTqdDo8sXowmKeQoQwaaqPFw6xadv46ONOnp0oXPK20PRiPF7m7cSBOrBg1onPX3p/CJ3r0p5O2XX2gVQWFYXrKKY2lj47Jl6tu2JJc3ieNr1/js5PEmcRxncyRTH636g8Rx6+Z8bZIQ4jhRhDhOQVJFHEsYDOTFinszjRvGoHCTodrYHDSCg2nZr08fxFKl4rfb8jmtljzkPj6J30j1eorRlj7XoAFf+rIUxmY/nT0re4UqVFDPwx4SIos7y8fw4Wz2dDrEMmXi22vaVJmda9fkZd8cOWx68phv1Jbiu0QJyprBw+PHZAeA7O7ezWcvKir+hFGaKCgUkFZ9FDcN39ix6oXqsBATQ+EzUntYM1AkkqLNXsz99OGDnPccgFbjeDbERkTQRERqm6cnTdBSeSxmJVnFsbRqwhhCZDdeniSO79/ns+OdncRxnNBApj5auZzEcZuv+dokEVsEBL9VaYPff1Qca1WqyCdILRwcANq3B7h5E8DZ2fZ76tYFMJlStl32kDkzQKtWAMuWAdy+DRAUBLB3L8DYsQA1agB4eQE4OdF7TSaAT58AgoMBNBrb9t6/B2jYEGDuXPp77FiA/fsB0nup62rVAE6cAMiRA+DaNYBatQBevuSziQjQvTv1WVxWrwaILRmuiPXrAW7div/8vn0AT57Yb6d8eYALF+jfd+8A/P0BYktPc9O0KcCZMwC5cwPcuwcweDDA+fPs9goVAvjnH4B69QAiIgB+/BFgwQLqXxYePwa4ciX+83fvAhw7xt5OBweA+fMBFi+ma2vmTLpWgoLYbfKQIQPAihUAs2fT9fzbb/TbfPqkzI5GQ9f5rl0A7u4Ax48DVK4McOeO8jZ5eABs2wYwfTrZXbYMoHZtgFevlNsCAHBzAxg3js6vihUBQkLofKtcme+c+9yIiQF4+pT+7+ubvN8ljWuurnx2DAb618GBzw6APFYkdF8TpApCHH8ulCoFsGGD7ddWrQIoWBBgyhSAwMAUbZYismShG+TPPwOcPk0iJiaGRMfr1yRmjh61/dmLFwG++IJujhkzAmzdSnbUGLzSAuXLU5/kywdw/z4JnIAAdntv3gDs2GH7tY8fSSArZeJE288jAvzyizJbefMCnDoF0KQJQHQ0QJs2AHPmsItOS8qXp/OlQweA//0PoE4dgC1b2O15edEkbOhQElLDhgEMGiTfQJUwdiyJKFvMnMneRomBAwF++AEgUyaAkycBqlYFePiQ3y4LGg3AyJE08XFzAzh8mNrDcl43b06C08eHJmJffgmwZ49yO1otwPjxdF54eZHNL76gsYiVKlXofFu6lGxev07H+d13AB8+sNtN65w6BfD8edLvCwgg54eHB0DOnMnXHqMRQKej//OKY6OR/lVTHGuFHEtLiF/jc6J1a4AxY6yfq1sXwNubRPHkyQD585MoOHNGHaGR3Gg0dOPMlQugeHHywFhiMgHMmwfQsSN5lYsWJa9j69ap097kpFgx+t2KFgV49gygZk3bnlp78PYGWLcOoFkzEkpxGTiQvLZK+Pln8nI7OsZ/7fffSdwrIVMm8ggOHEjn6qhRAP37s4nOuOTJA/DHHySqoqMB2rWj9rNeE05OdB6OHUvn7NKlZDs0VJmdLl3od7bFkSPKJxm2aNyYvN3585Mw/vJLEsqpRcuWdF7nyUNio1YtElZKKVWKRGidOgDh4QAtWrD/po0bA1y+DFCmDMDbt2Rz8WL288PBgc7dBw9oxQYAYOVK+q2XLUubK3s8IAJ07QpQoEDCDg2JBw/oX1/f5PWeRkfL/09L4lj67dU69vTgiUZjarcgSYQ4/tyYPh2gfn36v4cHeWWePQPYuBGgenUSFn//TcKqQgVa2oyMTN02s/L2LXmahw+n5ehevejmWKpUarcs+cifn0Rm2bLk/fX3p2MGoOX47t3tC2HQaEiI7dlDk4pz5+jcsRRmSr14XboAnD1LnucDB2iiVry4/HqjRsqXkx0dARYtopAAaanbQnRqrlwB6NOHbUXE3Z2858OG0d8//EDnkORdUorkCd22jW6+Bw7QNffsmf022rYlsfD6NcCmTSSoCheWXx8zhryavJQuTZNIPz/6/Rs0AFizht8uKxUq0HmcKxf9lvXr04qXUrJmBTh4EGDAABIJP/wA0LkzW5hQ4cJ0XXToQOPm4MEAffvyjZc5ctCqjHQNf/wI0K8fTVAuX2a3m9a4coXO+4wZacKcGPfv078pFVIBoF5YhS1HgFLSvJhV34mmwdgx0XhPdduqkUIx0J81qbohzxbv31Nluk2b4r927RqVmJVSF0mp4EaMSDD5uxqovpnjwAHK3SqlqPrttzSfps0e7O6n4GAqpgBA5XDXrJFzYFuUVWfin3/kVIHZsvGnPTp6lFJaSb8Va3WqnTvNmTtMpUvjqWnT0CTl8e3FmSN0yRJ5U2udOuzV1yQuXaI85AB0nvKkB0OkAhBSvnCtFnHhwiQ/Yte5FBlpnZt33Dh1i1coJSLCuj0jR7IXWvntN7nARaVKCabbS7KfTCaqgufoSEUySpa0O/1Zouj1iPPnU0o7KctLv36pnlkoIRSN4WPG0DG1bZv0e7t2pfdOn87fyMR4/pw242Vw4rfl7Egb8uKcU0z3ud8W04a8Tm3424WI+Pdq2pDXtYk69l7/G7shz0Mde6ZoxPeA+B7Q8KmfOjYVILJVpCBpThzbQ1AQ4pw5clUnaXBu2pQqJ6l8g1RNHEdHW2ejKFMmZYqJpBCK+iksjFKSxc1s4OTEX3wgMFAuFuLiQllFeAgLk0v2ajRU4phlMmMhOo2WGVpcXPizkuzfLwsVX1/+yeLz54iWOYa3bOGzp9PRJEA65kGDEs18YPe5ZDQi/vijbLdNG/VyarNgMiFOmiS3p3lzpjzPiEh536Vcv97eNguh2N1PZ87IEx4XF8Tff1dnQv76NWKnTvLxZstGaTpTc5JiA7v7yWSSc1nbU5XSz4/ey3t9JMWDBySOPVUQeY4aEseBgVZPM93nli4icdzZjomEPWxalbbFceRvZnFsCiqb4k4tka1CkDhZsgCMGEExh3v30pI3Ii3ZNmlCS1y//kqhC2mFBw9oqV/KRjFoEC0Nf85hFInh7k5L756e1s/r9fxL5N7elCGjWTOK1WvdGmDhQnZ77u4AO3fSb8YTP1ypEsCpU4BubqC1jNOMjmZbhrekUSMKC8mXj841Pz++jVj58tHnpU2FbdsCzJrFF9f8xx9kA4BiYL/+Wnlcc1y0WoBp0wDWrqXv2LqVsjS8eSO/5+FDgEePlNkNDaUwFVsZURJDo6H9ERs3Ari4UOiP0vAUidq1KVyjdGk5DOnPP5XbAaA23LhB8cjR0RQO0b698gwbccmVizZTHz8OULIkbdLr2ZNC32xlLknr3LxJ4VguLnTuJwaidcxxciLFHLu48NkxmeRrWI2wCils4b+wIQ9jAKJmmP/UmG4C6I+nYoMSIYXE+mdNuvQc2+Lff6mSmJRTt0QJKiBSvz55STi8kVyeY5OJkvJLxTCyZuXPJ5tGUdRPRiNikya2c1sXLqyO50mvp6Veye733/PZNZmowqOU+7VRI2VeQZOJCioAoMlWPm/WJXhLXr+mZXgAKgixYQOfPb0ecfBguZ09e/LnGN62TQ6NKlMG8dmzeG9huuZOnpTDc/LloyqTp09TP3h6Klvy79CB7BQqRGXGWTh/XvbW5shBOb9ZCA2lghjSbzBqlPlcUdxPRiOtukkhGwULIp47x9auuOh0VKRDysVduTLiV18h7tqlzrnN1TQ7+2nCBGq7PaWg376VV5MiI9VpaEJs306eY+cMfHZ0OvIaO0C88Cuma27xfPIcd+3A1y6JjSvJc9xNYX75hFDTc2zhNTY/PtZMUe+xCKtIQT4bcSwRFkZiWIoFkx5aLcVjLlkSbzkpKZjF8YcPFCPt5ERtqFePyhV/pijqp9u3bQtj6bF/vzqNMpkQZ82S7bZuzX8j27FDFndlyyK+eGHf5x4+TPyYWeOZ4xIRQVXFJLuTJ/MP4JYV+tSIa7540TquOU6ZeOZr7t9/qVIlAE1IPTzkfpg92347d+/KxR08PGifAAvPn8vlyTNkQFy3js2O0Yg4frx8LH36IAYHs/fThQtyWJqjI10jaoVCvHhBYTOSQwAAMX9+xJ9+Sv5Kewlgdz9JRXHWr0/a6KlT8gQjuenyLYljDfBdy1FRsjiOI7DYKnfOI3HcjXOviERaFcemaMSgfFbC2CT9P+aoOm21AyGOU5DPThxbEhBAg77kSbOMT65VizYGPX2apBmmQePQIblSWt26iDNnprk4PLVR1E8GA4mVqlXJw29LLCosEZsof/1F4gSAvvP9ez57ly7JmyrtLb9sMCCOH4+mkiUTFshJDHp2YzSSh1Gy++23fBXTEKmUtru7HNf88CGfvWfP5KqErq5WkwOu1ZqgICpXzuudf/8esWZN+qyDA02sWQgPty53zrNxcONGOVa/cGHUXbnC3k+fPiG2by+3q2FDdcVrQACdg5I3H4AcBR06kLBUw+N27x5tfExismbX+XTnjtxGe0rdL19O7/9KpVLHCWE0IvoUksUxj+MgPFwWx+HhVi8xXXML55I47t6JvU2WSOK4ezN17KkljqOWx/cam73H/qo01R6EOE5BPmtxbMmTJyTGpA0U0qNyZcQ8eRC//hpx6lQSAHFuEIoGjagoCu+Q7Pv6Il6+nDzHlMZgFjQhIRRqMmQIopTBAQCxenV1d7+fPEnZTQBo0w2vuHv6VC4TnjEjlXe2A51Oh/vWrEH9xo3kYZMyOQCQPRthBswsXy5PPmrU4J8U3LhBIQtSiNBpzhKqoaHW4TU//4xoMvGJY53OdhlrAFriV0J0NGK3bvLnBw9mK6FsNCL+8INsp1WreOLEbq5cQSxQgMJz3Nzw4siR7JuFTSbEP/6QV0Jy5kQ8fJjNVkJERZHHXMpQY3mujx1LIQPPntkvliMjEdeutZ4ALVqU6EfsOp+mTiVbTezcDDZiBL1/6FD73s/K+vWyMNYAYr267LY+fULMmQ0xW5Z4zgema27JAsS82RD7cWbckfh7NWLZbIh9Vdrg9+oBYo9siP05vfvh4xMWx0GF1GmrHQhxnIL8Z8SxJc+eIc6di1itGolXWzfRPHnMXjy7B43r12WxBIA4YEDq7pxPYVTL6jFtmnyzLl6cJjZqcfeuWVhg48bscaASHz9SXDsALZ8ncZNGTKCftm61zkxw6RJfuyw5fFiOxW/VCvH+fT57lnHNVaog/vknnz3LuGYvL8QhQ1AXHs5+Lv38c8KeeX9/5fZMJmubjRuze/jXrZNXMCpUsD8kJy4fPsjnHQAavv+eTbRL3L4tj10aDXm31UpdacmVK3I6zipVrH+brFkRGzSgVGp//UWTzU2bEBcvpgwgAwZQ9g/pXAagUJ/mzRFPnEj0a+0am8qVI5urVtl3LFIGm6VL7T165URFIRbIby2ONUD9yEJQkOw5jnO+MI3f82aT57hXF7b2xGXjCsR8gNijuTr2Xj1AbAuI3Tz57JhiEHWnEGMOoynYGzEI0BA2DzHmMKIx5UKFhDhOQf6T4tiS0FBa4ps3j5aeS5Sgm0OePOa3JDloSJtcpJtejhx2exE/J1TNB33rluyh9PZmvxnYIjAQsXNnsu3sbDunthJ0OvJ6S17poUMTXb5PsJ/ihhns2MHXLkvu3KFNRpIAPXaMz15EBKVmk9LHTZrEv0y+cCEJRgA0+vvj/9avZzuXVq+W46NtPVjDI7ZulSdtpUohPn7MZufsWcTs2fknQgYDGkaOlI+rbl3Ed+/YbCGSR7ZvX9letWrqTkwt+fiRcn/37EmTSmmDoD2P7NkpRGb69ATzP8clybFJ2g/g4GB/WsUqVShlJO/qSWLMmRNfGGsAsSPjBrh372RxHOd6ZRq/5/5C4vi7rmztiUtaFccWmD4VQvwIqI86o5pNexHiOAX5z4tjW4SGWu1QT3TQeP6cNihJA/fXX/Pn6U2nqF4s5eVLOdduxoyUw1otwsPpt5J+txkz+MSdyUQ2JHvNmtHmUBsk2k8hIZQFQ/LgseZUtsXbt/LStqOj/R6yhDAaEUePlo+5Uyf+OPF9+8yCOyx3btSxZor4+BFxzx6KefXzs45rd3Jiz9Bw+bJcFCZ7dvaVh6dPEUuXpqIcnp7MWUV0Oh1eGD0aTVKGiPz5+cO4Nm+WvbMVK9IqW3J4kS2JjqZ2L19OAr1pUzpXa9WizaV9+1I+6/nzycutMGY7ybFp5kw63gYN7DMYHi6fTzwTksQIC0PMktm2OHZ0YJu4BAaSMHbSxnuJafz+dRaJ497dlLfFFn/9IcRxIghxnIIIcZw0CQ4aO3bI3kI3NxrYP4NKd6yoLo4RSSxKy8cODpQWTy0MBuv48F69+EXA33+TN1paNrfh2Uqyn/R6xP795Xb16aOeOImMtN6ENXYs/0bRFStkz1+1avxi4eZNNOXPTzG1WbJQrDgvYWHkaZREpLMzbW5j4cULs4cbnZ3Z0+WFhloX0Bg7VnHKM/O5dO0aYtGicptWr2Zrk8Tjx3TeSW0rXVqd3yGVSPSaM5koVV6ZMjSG28PFi/IqYXLx8iWJYFviWAOUElEpL16QOHaJX2mPafyeMzNWHHdX3hZbSOK459fq2PuPiuP/QNZpQZpEpwMYPBhgyBAAoxGgShWA69cBevdOwzXm0ykeHlTcpWtX6uvvvgOYNIlu2bw4OADMmwewaBElsV+5kook8BRGaNeOCpBkzw5w7RoV47h+XZkNR0eAJUuobRoNwPLlAE2bAoSEsLdLwtUV4K+/AH78kf6eOZOKQURFsdvs1Qvg4EEALy+Af/6hY753j91emTJgOHMGPhYtCprgYID69QHWrWO3B0CFXMaPp2IazZsDxMQAdOwIMHWq8nMpb16A06cBWrYkO507s52TmTLRcY0bR3/PnEk2WQqjlCpFBUOaNaM29egBMHAgjVUsFCoE8NtvVLgla1aA27epCEmXLgCBgWw20yqnTgHs2kXFP9q1s+8zt2/Tv6VLJ1+78uQBeBgAcOQoQMdO9FztOgC//Q6wbj0V0VGK0Uj/Ojio00apmJFa9z01xnUBCHEsSHlevACoVYsqfL14QTe2M2cAihZN7ZZ9vmTIQFXzJkygv6dOpSpcer069gcNAti9GyBjRoCjR6ma2NOn7Pa+/JKqH5YoAfDqFUCNGlTJUQkaDcCwYVSZz80N4PBhgGrV+NolYU9VOaXUrQtw7hyAjw/AkydUDfLoUXZ73t5wZvp0MLVuTb9zt24k6C0rC7Lg7g6wYwfA8OH096RJJPikCmT2kjEjwLZtAKNH099Tp5LYVjrJcHAAmDGDqsy5uNB5UrWq8op+ADQ52bULYMoUOn+WLqXfhVXMarU0GX3wAKBvX7L5559UDW7+fOUVItMqCxbQv127xq/YmRCSOC5TJnnaJFGwIP2G+fLR3+XK0W/x7bdsFe7UFseSmFW7Qp5wMnEhxLEgRdEcPQpQsSIJHy8vupGNG0cCQ5C8aDQkQJYvp4F9zRrykvGWH5Zo2pS8gblzA9y9SwL34kV2e4UKkRe1Xj2AiAiAFi3YSlh//bV1u/z86PxTg65dAY4coXLsFy+Sbemmz0Lx4tS26tXJy92oEXkeGTE5O4NxwwaAH36gJ376iU2AxsXBgcrLL1tG/9+wgbzTSktFa7VUDnvVKhoD9u0jLzyLGO3UiTyY0u9cuTLAsWPK7Wi1ABMnUtlqT08qKf7FF3QuspI1K8Dvv9M5UrkyQFgYwPff01h4+jS73bTAkyc0AQWglUB7SQnPsSXSOe/qymdHEseqlI4GWRwLMZumEOJYkDKYTFBsyxZwaNIE4MMHgAoVAK5cIUElSFl69yYvr5sbwKFD5EV5+VId2xUqkLgrVw7g7Vvypu7YwW7Pywtg/34KOzCZAIYOpXAcpR43aUJWrhzAu3cUHrBlC3u7LKlVC+D8eVr5eP6cvNMHDrDby5aNPMadO9Nx9ulD3lVWj69WS6J49WoSoJs3A9SpQ78PL3360LFKItLPj4SpUnr0IM9+xYokSqtUoZAapVSuDHD5Mn3+40eAhg0pvIZlqblpU4BLlyjcIjCQzmVWWxKVKtG5snw5Tahu3aLzp2tXvlWH1GTxYuqThg0BSpa0/3O3btG/6U0cS2OP2p5jEVaRphDiWJD8fPwIDt98AyU2bAANIgmds2dp+ViQOjRpAnDyJP27aRN5eW/cUMe2FE/apAndkFq3Ji8j66Dt5ETe01mz6O/Fi8GhdWtwVOr9zJuXwnf69SPx2a4dwM8/q3MzKVqURI+/P3kFmzalJXlWnJ0B1q+n5X0AgNmzqR8jIthtdu9OAjRLFpoo8Hq5JerXtw4HqVaNvkcp/v4AK1aQ9/zlSwqlYZlY5cpF5/a335KXb9Ag+s1ZYoel37VdOwpN2biRPO88setaLU1Q//2XJhcaDf3Wvr4UnpCeQi3Cw2mfAQBNXO0lKEheHShVSv122SJaZc9xWhXHEmndXhpHiGNB8nLtGkDVqqDdtw+MTk5gWLaMboC8A5SAn0qVyBNWsqQc17tvnzq2M2Wi2M0BA2jwHzmS/s9649doyHu6dSuAiwto9++HGuPGKfd4u7uTp2vYMPr7hx8o9pp105UlWbKQJ75bN/LyDhxI3yPdTJWi0dDy/oYNFDO+cycJyNev2dvo7y97uZ894/dyS5QoQYK7Rg0Sjo0bUxiBUooUIaHdsCFAZCTAN9+wTWBcXGij3i+/yBsyGzRQHvYBQOfMpk10rVy9CvD337RCwhMyBEChFsuW0e9RqRKFNw0bRiEcZ87w2U4p1q6l37tYMQoBspc7d+jfggVprEgJ0mpYhdiQlyYR4liQPCCSCK5aFSB7dsBCheD0zJmAPXqkdssElhQsSF78evXIC9S8Oe2wVwNHRxKic+fSwP/772SfJ8a5dWuAEycAc+QAz6dPwbF6dQrPUYKUYWPJEvLirVlDYiw4mL1dEhkyUPjCjBn094IFlD0hPJzdZqdOFDubLRsdq58fn5dfbS+3RLZsFH8teWz796dNi0onB15elF1l0CD6+4cfKOxA6YY/jQZg1Cja1+DhQfHIlSsD3LypzI5ka8AAWnEoUIA85NWrk0efd4NjlSr0eyxbRhOsmzcBatakSZYaoS/Jhckk7wEYPFjZhrKUjjcG+O+EVUikYU8vasvC+0+lACHttlGIY4H6REZSDGHv3pQSycsLDOfOQUjhwqndMoEtvLzIY9yjB93wBgwgTy/vTR+ABujvvwfYvp1uSgcO8Hsq/fzAcOYMhObLB5rAQDncQikDBpAIy5SJluGrVqVUVLxoNLTJdPNmOXvCoUN8NqtXJ8+sFHLAeswSkpe7e3f6nadMUWdy4OxMHttp0yiWduJE2kgZFqbMjqMjpQdcsoREyJ9/UsYBFrHYpAmJzyJFZG85axx81aqUVrBNGxJJo0eT/Xfv2OxJODhQiMWDB3I6y3XryHM+cKAcn5uWOHCAQkM8Pek8UkJ6FsfpJVtFGkajuQHZs94BjSbtern/O7+GIGV48IA8W2vX0sU+cyYtr2fJktotEyRGhgwUOzh9Ov39668AbdvSREcNWrYkz93MmfbnQU2MggXh9MyZYBw4UI55ZKFRI/Kc589PN3o/P/WyB7RtS/maZ84kkcOLjw+FHAweTGECvGTIQFkiZs2iDZpqXaMaDaWMGzCAJgf/+x+J++fPldsaMIBEmJcXHXuVKmyeXynso359itv+5hta0WCZAHp50cRn2TI6voMHaaPnkSPKbcUlWzb6bc+do9CUO3fIq1+2LIWsbNig3IOeXEjp23r1otATJQhxLCM25KVJhDgWqMfmzRQ7d/s2QM6ctBQ8Zsx/akacrtFoKIvDX3+RcNq+Xb2sBgB0bowZo44tADBkzAimefP4YxbLlCHhVLkyeU/r1aMNUmrg56fqMYOXFy1lKxUjCSHFcvv5qWPPkvbtySOfMyd5PqtUYUuhV7++dTaQ6tUpo4VSsmShzCdDhpAXeeJEEsksm+s0GvL0Stks3ryh0Jzx461zhz98yOZV9vOjScW2bRRK5OBAk7hvv6WNpaNHq7PKgUiTweHDlYmqs2cp65Cvrxz+ouQ7PwdxnFZjjiXScFhFekCoFgE/MTG0U7l9e4qt9PenjXj+/qndMgELHTtSbKWUu/fLL9nSc6UnvL3JyysVzOjalcST8MLwUaUKnUNly9Iky9+fNrQpxdeXBHKdOjTGtGgBMGeO8t/H0ZE8nhMnUljErl3gWK0aZHrxQnmbAEjcXbxIQhmRYs39/Sl84/Jl2uxaqRK7AK9XjzahPn9OOcrz5qVMD7Nn02ShQQMqJnLypLLvCAqiuPuSJSn8Zd48gOPH7fuslAHk6lU61kKFlB1XYCCl2XNwoDChlKJIEYAaNan4DC81awGUKctvB4AmvDVqAWTLro49V1cAv1oA3nnVsQcAULIWQJFkmECnYYQ4FvDx+DENkNLAOm4cLS/mypW67RLwUaOGHKf59CnFabIUVEhPuLnR6sfYsfT3tGmUazitLGOnV/Lnp+wLUlnmDh3YSk5nyUIhDJIQHTWKlvRZMo106UIe03z5QPPwIdQaNQo027crtwNA582yZXTueHhQSES5cjTJNBjkKqA85M5N1S2fPKEwtcaNSTxHRlJMf+3aJLIKF6Z46OnTaeXn6FFq1+LFNCHo1w+gVSuyN3w4wP37JBa/+46eswPt8uUUd+3lJYdhKeHOHZowVKtGMeopxcWLAGdO839nTAzA6VMAD+6r067gYIAzpwCCg9SxFxUJcOEUwJtX6tgDBLh3CuARZ3aWdIYQxwJ2tmyRiz7o9RS3OGOGestNgtSlaFG60UvV2r76ijI7fM5otZQ6bOVKOo83bqSNYCwpwAQymTJRKroRI+jvSZPYJh5OTpT1ZMEC+q1Wr6awiw8flLcptmCIqXZtcIyOBscOHWhixJp6r21bEo1+fnS9WIY9/PYbhSLw4uhIFR/37SP7vXuTFz1/fnr98WMKxZgwgcR5/fq0ojd4ME32li2jUBCTicbu33+n1IB//GGXFzfDp0+gnTiR/pgxAyA7g7fz4kXyqudV0bNpD2k15hhU3pAnVrtUQagYgXKio8nrIKX8qlaNRIQ0QAs+H6T0XD170m/cowfAo0fk+fucY9p69qTl4m++oQmCFANaokRqtyz94uBAoRC+vrTRbuNGWpXYsYPiku1Fo6G44WLFSPhdv07hMEuWKI9hzZEDjPv2weOOHaHIrl20OfHKFcprnDWrMlsAdM7s2kX/xi1S89131Fa1vKU+PvSQMkUEBZH969cprC06mmJ7c+Sg/s2Rgx558tCEj6EIU6l160ATEkKVDPv0YWv35cv0b6VKbJ9nRe1Ubmm9fPTnPD6nAEIcC5Tx4AFlG5B2jI8dS0LJySl12yVIPlxcKJWWjw+VIZ4+nWIda9VK7ZYlL3XqkDBu2pQ8cnv3CnGsBr170/J/69byxGPvXuXCtlEj+vzo0TRxqVqVztMWLZTZcXSEOz16QME2bcCxb1+aDH7xBYUlVKyozBYAwOTJ8YUxAIUwDBpEXtrkIGtWilGuVy9ZzGvOnYP8UmiVlGKPhUuX6N/KldVpmD0gqu851qrkOU6uDXkCLkRYhcB+1q+nm8bNm7ScduAALUEntzC+eZN9qVOgDlotieJVq+jfz10YSxQvTmFDs2ZR7meBOtStGz/3MEt1xpIlKW2ktFGvZUuawDEsLWP79tSmwoWpTdWrU65hRUaQsr0kxIoVJJDVqMiYkhiN4DBkCAAAmHr0oE26LAQGUjVOjYbCOlIKvV4Wobzi2CRSuf0XEOJYkDSRkZSiqGtXyhFapw4t3X31VfJ/9//+Rzve+/ZVpyiFgI8ePehc+C+RLRt5J4VnR12kDBRSpb7mzSlNndKbe9astFFv4ED6+8cfKd6WJUd3mTK07N+kCYUldOumTMxqNBQH3bs3heT4+5NH3DKH9JIl6uVFTinmzwe4cwd07u5gZNmEJyFVsyxRQr10hPZg6cl3c+OzldbzHEuI8YoLIY4FifPvv+QlmDWL0jFNmQJw+LDdO5u5iYqiWf/KlbQrW8yKBYLPh6xZqVJfz540+R06lDbrWeYKtgcnJ8rI8PvvFAv6999UgpklRZuXF+VRnjSJ/l6yhEIVAgPt+/w331Ahj23bKD3grVsUD2ww0DiWIweFWDRoQJv4WNPIpRSHDlGu7iJF4Ebfvmyb8CRSI6QCQBbHGg3lcOchucpHp9UNef/Re64Qx4KE2byZwihu3SLv2fz5lA5ItV26dtCmDXliAMir9OOPKffdAoEg+cmQgcINfvmFUpJNm0ae248fldvq25fSl2XLRnl4K1emuGSlaLUUO7x7N6VnO3OGxsJ//lFuS8LBgSYBDx7QhkKtlnIYFy9O4WkxMey2k4v792mPidEIWLkyvK5Rg89eWtiMx+tRVbsISHrxHP/HPNFCHAvio9PR4B23qEedOqnTnq5dqYQqAKUPmjEjddohEAiSB42G8hYPG0Z5d48coRWrhw+V26pVizyUZcpQ4ZHatSkumYXmzclWyZLkOe7Viwpm8HjTvLwoFd21a5RPPDIS4IcfqL0HD7LbVZvgYDr+kBCA6tXBuHQpn0BClMVxanmOeeONAdJPWIWACyGOBdY8f043l0WL6O+xY9NGUY/+/akqFADFvC5YkLrtEQgE6tOiBeUDzpePQrr8/NiKzxQsSF7eVq1ost+9O+VYNhhIjPzwA5VitsdbW6wYbcrs2pVE1vDhJBp5c1+XLQtw6hRtdPb2polAo0YUlvHsGZ9tXiIjqe8CAgAKFKDMHbwp6F68oFLajo507CmJFH+uhjhOrrAKEBvy0hJCHAtk9u+Xi3pkzkxxdz//nHaKeowcKccBDhtGS7ECgeDzolw5uWz5x4+08XfZMuV23N0pbEEqWjF3LlXpmzmTxrUNG0iY2mtrzRrybjs700bhcuXsL7mcEBoNifQHD2hPhYMD5X0uUYKywqRGdcYnTyheOyyM4ov37KE4aV4kr3Hp0uqIVCWkZc+xtNFcrZhjiTTsiTY4HYQj55YCalJ4kqQAIY4FtPll5kyK8wsOpniwq1fpRpLWmDRJTqnVpw8VEhAIBJ8X3t4kPDt3Jk9dv340IZa8dvai1dIm4s2bSRgdPEheY4lffrE/TaRGQxkxLlygOOHAQNqoN2GC8nbFxcODxPv16xTGFhVFdps3p+eDVCotnBT/+x/FVl+9SquIR45QuIcapFZIBUDaFsf/xVRu2kIQEZUbQOOS2i1JECGO/+s8fkxegnHjaAlz4EDafFKwYGq3zDYaDd3Q+vWjQaBLF6pIJRAIPi9cXMizK6UOW7BAjoFVStu2FBoQ1zv38CFodu5UZqtcORJ6vXrRGDR9OsU1P3+uvF1xKV2aJgV//UXe41u3KBwkTx7yMJ8+nTzix2ikzc7NmpG3vkoVEshqhj+k1mY8gOQRx/+1DXn/MYQ4/i/z558A5cuTJ8TTkzyyixerV940udBoKL1Sly40ULVrl7Y2sggEAnXQaGiPwdatJGwOHKBKeI8eKbMTE0PZJ2zkStfOnq1ccGbMSGFdmzaR1/fsWRLN27crs2MLjYbyNF+7Rpk7Klak9m/YQPtBSpemzD0s2TziotdTyrmvv6biKQDkIDl1CiB/fn77Epab8dK7OE6umGMhZtMU6UYcBwcHQ+fOncHDwwO8vLygV69eEB4enuD7nz59ChqNxuZjy5Yt5vfZen3Tpk0pcUipR2goeSG6dKG4spo1qQpdmzap3TL70WqpWlubNrThplUrGtAFAsHnR+vWtKKVJw/AvXvk2Tx50v7PHztGTgAbaK9ehdysY0f79iRiq1QB+PSJ2jlggO3y0UpxdqZiIleuUMaMXr2ogMXdu5QPOndu2iT455/kYVaSG/rpU5p05M9PY+j+/XQf+Ouv5HGQBASQmHd2Vl4mXA30eio6k78Avy1HR6rsmCUrvy0AALeMZI+3OImEUwaAQkUAPDzVsYcIkKsIQI6C6thLJ6Qbcdy5c2e4c+cOHD58GPbu3QunTp2CPn36JPj+fPnyQWBgoNVjypQp4O7uDo0bN7Z67+rVq63e17Jly2Q+mlTk/HnyFm/YQDPfqVNpGU9NL0FK4ehIx9GkCd2MmjWjjTwCgeDzo2JFur4rVaK9EQ0aUFENe6hRA2DwYAoTsLHxqfK8eZTTlwUfHxLuo0fT37/9RiFqd++y2bNFpUrkqX79mlbNypShzXpPnpCTo2xZ2jRYsSLlUl6wgATvqVMAW7ZQ9qHx4wG++44ygvj4UErMN28AcuaksLotW8hjnRz88w+J+Q4d+ItwsBAWRpseIxJ2qNlNZCSJ/fAwflsAZCcgQL081/oYgKcBAGGh6tjTAMDbAIAPqZxBJYVJI2kIEufevXtw4MABuHTpElSKXZJZtGgRNGnSBObMmQO5bVRrc3BwAG9vb6vnduzYAe3atQP3OGUrvby84r33s8NopB3akyfT/wsWJGFZrVpqt4yPDBloybVpUxL5XbsCrFtHnhw1CAqi6lseHurYMxqpBLda9gBosFbL6wBAN10XFTdK6HTUh2ouG9pbztde9Hpqo1oYjeoXy0EUS6+5c5PHuEcP2mT33XfkSZ41K/H+zpSJQhEA6Pq7do28sX/+SbG1AOBYvTqNHSzOEScnakO9eiRWb90iQbtwIXl81frdPD3JM92/Pzk6JG/4jRskAK9dowcAVR+0tZGvYkU6l+rVo70bX3+d/IL15EkS9jlzJu/3JERajjmWQn3+Sxvy0gHpQhyfO3cOvLy8zMIYAKB+/fqg1WrhwoUL0KpVqyRtXLlyBa5fvw5LliyJ99rAgQPhu+++Ax8fH+jXrx/06NEDNImcqDExMRBjMcsLDaUZml6vB73SsqcpwYsX4NC9O2hPnwYAAFP79mBcvJgG2hRqr9QvydI/jo4A27aBQ48eoLlyBaBePTBu3gxYvz6f3agocGjWDDQREWDYvZuWdDnRjhwJ2oMHyV6hQvFeV9pPmv37waFvXzD+/Tdg1arc7YO3b8Gxdm0wDR0Kpn79+O0hgkP37gBGIxhXrFBFdGu2bQOHyZMh47Bh6pxPr16BY4MGYPzpJ0A7xpIkMZnAoV07wGLFwDR9uiopmrS//Qaay5epEIOdS96JnUuaY8cAXr4E7NqVu20AkDyTgYRwcgJYvx60xYqBw/TpAL/+CsawMDDNmGHfpDNDBvLs+vkBDBoE+hcvILJ5c8h29y5Aq1ZgHDMGTJMnsx1PnToAV66AQ8+eoD18GKB3bzBeuACmceMod7OaVKpEj4EDSWA9fQqamzdBc+MGaG7eBHBxAc3Vq4A5cwLkzAno7U3/+voCVqpE+Ysl7LiOeMZwx5MnQQMAhho1AFPhHqmNCAcHADBlcAYj5/drdTFkS6OJZ4uljxyMRtACgBFNYFKhb7RGI7UPTdzHCgAAej04AQACgEGl3y5Z9YCd350U6UIcv3nzBnLEybPo6OgIWbJkgTdv3thlY+XKlVCiRAmoFsdTOnXqVKhbty64ubnBoUOHYMCAARAeHg5DhgxJ0NbPP/8MU6ZMiff88ePHwU1ND54K5D5zBvIfOQI5r18Hg4sL3OjbF17Wrk0bSFKBw4cPJ5ttxw4doMqTJ5D95UvQfv01XB06FF7VrMlsz/3VK6j+4AG4fPwIhkqV4NyECRDGkcXDKTQU6mzYAK5BQWCsUgUujB8Pn4oVs/leu/oJEapNmADZ37wBTf36cG3oUO7yrkW3bYOSjx6Bw5Ah8PTwYbjdvTuX6PF8/Bhqbd4MWqMRPt24ARfGjQOdlxezPY3RCHVGjoRMr15BrdGj4UJwMASXKsVsDwCg1KpVUCQgABzbt4c7XbtCQKtWXF6c7NeuQbXduwEA4O2ZM3D1++/ByBHD6RIUBPVHjACtwQDBV6/CxTFjQK9g5SHuueT6/j3UGToUnCIj4d/9++Fe585cAt7r4UOoOH8+XB45EkJtTPiSjUqVIPfIkVDg0CHIsXw5RO7bBxfGj4cIhoJFmqlTodTatVB4zx5wmDULPhw6BFeGDwd9pkxsbevfH4rkygXeFy5A1hUrANevh3/btoVHLVqASc0VirhkyECp0qR0aZ07237fnTv0YEDpGO7y/j189fgxoFYLB8PDwbBvH9P38lDi1i0oBgBP3r6F25zfX+zefSgBAM9fvYIbCdhS0kflnj+HggDw778P4V8V+sbn7l0oAwCvXgfCVRXsuYe8gHoAoNPp4IDKv11y6oGEiJQKwiQFpiJjxoxBoAlJgo979+7hTz/9hMWKFYv3+ezZs+PSpUuT/J7IyEj09PTEOXPmJPneCRMmYN68eRN9T3R0NIaEhJgfL168QADAwMBA1Ol0aePx/j0aO3VCpEUWNLRrh7p791KtPREREbhz506MiIhI3u8KC0Nj27bycc+dy2fv33/RVLw4IgCaPDxQf+AAn70nT9BUrhzZc3VF/ebNfP308SMamzeXj3fqVNTFxLC3LyYGDVOnmu0ZmzVDXXAw1zHrDx1Ck5cXHXOhQqi7fp2vD58/R8MXX5A9JyfUr1rFZy8yEg0DBsjH3KMH6jjPU/3q1WjKkIHsffEF6p4947O3Zw+aMmWiYy5SBHV37iT5mQTPpehoNIwdKx/vN9+g7tMn5rYZa9emdrm7o37HDr7fgqVvzp1DU5481IbMmVG/f7+iz1v2k37tWjS5usrn6sWLfO27dg2N1aub+9pUpAjq9+xJ8T5S48E6hutXr6bzrFKlVGu7YcgQRA2gYdRIflsTxiM6ABoG9FOlj4x9eiC6AhpmTFXnWH+fjZgf0Diogzr99+QGYgdA03dZU/1cUuPx4cMHBAAMCQlJVOelqjh+9+4d3rt3L9FHTEwMrly5Er28vKw+q9fr0cHBAbdv357k96xbtw6dnJzw3bt3Sb537969CAAYHR1t93GEhIQgAOCHDx/s/kyycvIkYv78NCBrtYgTJyLqdKnaJJ1Ohzt37kRdSrTDaEQcPNh8Q8Jx4xBNJnZ7wcGI/v5ky9ERce1avvaFhiI2aUL2NBrEX381t4+pnwwGxO+/l4+3e3fEmBi+Nm7ahOjsTPYqVEB8+ZLP3v37iIULkz1PT8TDh7nM6T59wldVq8rHPGEC32+MiLhwIV0vAIh169LvzsOpU4hZs5K9fPkQb9zgs3frlnxdZ8mCeOJEom9P8lxaswbRyYnsVa6MGBjI1q7gYMR69eTzee5c/t9CKa9fI/r5URscHBAXLLC7DfH66cYNRB8fsuXqirh+PV/bTCay4e0tn68tWiA+fsxnN4VhHsN79aJjHjUqeRpmD337ImoAcfJkfls/kjjGoYPjvcTUR317IroC4i8z+NuGiPjHXMT8gDi4kzr2Xt5F7ACI32VVxx6msB6Ig6TX0rQ4tpe7d+8iAODly5fNzx08eBA1Gg2+evUqyc/7+/tj69at7fqu6dOnY+bMmRW1L82I45gYEoIaDQ1GPj6I//yTum2KJcUvBpMJ8aef5JtRz56Iej27vehoxA4dZHtTp/IJAL0esX9/2d6AAYh6PV8/LVkii7s6dfjF3T//IGbPTvby5EG8do3P3vv3iJIXzcEBcflyZlM6nQ53bt+OhlGj5D7s0AExKoqvjf/7H6K7O9nz9UUMCOCz9/AhYrFiZM/dnezzEBiIWKUK2XNyQly9OsG32nUunThBQhuAhDergNfpEPv0kX+LPn3YJ+QvXrB9LioKsWtXuQ29etF1mwQ2+yk4GLFxY9nWkCH8DoaQEMQRI2iCDUCTz0mTECMj+eymEMxjkzQp3rs3eRpmD926kjj+5Rd+W+PGkjj+fli8l5j6KNZzjHNm8rcNEXH5rySOh3RWx96LO0Icp2UaNWqEFSpUwAsXLuCZM2ewaNGi2LFjR/PrL1++RF9fX7xw4YLV5x4+fIgajQb3798fz+bu3bvxjz/+wFu3buHDhw9x6dKl6ObmhhMnTlTUtjQhju/dQ6xYUR7Me/QgD2UaIdUuhhUrZMHYvDliRAS7LaMRccwY65svz/GYTIhz5siTmaZNURcczNdP+/bJ4q54ccRHj9jbh0jerRIlyF7GjIh79vDZi45G7NxZ7sNRo6hfFWJ1Pq1cKQuOqlUR377la+ONG+TpBSDP7+nTfPaCg2myIq3kLFzIZy8yEtEidAh/+MFmH9p9zf37rzoC3mSiVRDpfK5fH/HjR2U2Ll0ib+348UznhbkN0jVfvXqS50OC/WQw0IqE1M81a7J71y25c4dWJiS7BQsi7tiR8t52hTCN4S9eyOf9p0/J17ikaNeWxPGiRfy2Ro0kcTxyRLyXmPqodzcSx7/O4m8bYvKJ497Z1LGHQhyrSlBQEHbs2BHd3d3Rw8MDe/TogWFhYebXnzx5ggCAx48ft/rcuHHjMF++fGi0MdDu378fy5cvj+7u7pgxY0YsV64c/v777zbfmxipKo5NJvIYxsbJYZYsiFu3pnw7kiA1LwbctQvRxUW+WQYF8dlbulS++X71Ff8kZOtWc/tM5crhgZUr+frp+nXEvHmpfdmyIZ49y9e+jx/lZXOtFnH+fL4bucmEOGWKLA5atVI8aYl3Ph07hhgb14yFCpEA4eH1a8RKlchehgyIf/7JZy8mRl5eBkAcNIhvJcNoJAEp2WvTJp4HUtE1FxSEGBs7zC3gd++miZQ0QVPifZ81Sz6mb75BDA9na8O+fYgeHrJHPJFVjyT7adcu2VahQkmGs9iFyYS4ZYs8CZPGkvv3+W0nE0xj+J9/0rFVqpR8DbOH5s1IHK9YwW9r+PckjseOifcSUx9915XE8VwVvNqIiMvmkDge+q069oQ4FrCSauL4wweKL5UG1wYN+GNDk4lUFceIFP8piadSpdiXbiX27EF0cyN75csj2hHekyjnz5tDGCKzZkWdRQgRE69eySsJzs4UQ8yDTof43XfyuTZwIJ+4Q0TcsIGEp3TzfP1aQXNsnE8qxzVjRAQJNOmYJ03inxRYir8mTfgnVpZxw1WqWHk2FV9zMTEUfqTGb2w5Qcuala4/e1m7Vj4vKlZkv1bv3UMsWpTsuLmRGLWBXf10/z5iyZI0udZqKXbVYGBrlyXh4eT5l47XyYlWpywcP2kFNuEXO2aMiO9lTVHq1SVxvGEDv61hQ0gcj/8h3ktMfdSrC4njebP524YoxHES2CuO002FPEEcbt6kdD0XL1IBiPnzAQ4cUCUX72dJzZoAp09TEYE7d6j4yb177PaaNQM4cQIgRw6A69cBvvySOTUSAFDO1QsXAH19wTUoCBzr1AE4eJDdXu7cVB3r66+p8lKHDlQRC5HNnpMTwPLlAL/8QmnOliwh26EcVZg6daKyvtmyAVy+TIVbbtxgt+frS4URatQACAkBaNQI4I8/2O25uVHVsDFj6O8pUyg1VnQ0mz2NhqqobdtGxQj27QOoXh3g+XP2NnbrBnD4MECWLDQW+PlRAQoWMmSgKmwzZ9LfS5YANG/O9huXKydXswsKooIT69bZ99muXem8yJ6dCnRUqUIFO5RSvDgVyWjYkArltG0LMGmSXHRBCb6+dDxFitDnJ08GqFsX4OVL5bYsyZgR4KefAG7fBmjcmPINz5pFbf/7b/brNa0glfiuXTtVm5EsRUDUyust/cb/9QI/aQwhjtMjW7cCVK1KpUOjo6l06dChqhQbMBMYSDfHz4nSpamMqa8vwIsXJKLOn2e3V7kyfV6yV706VeljpVAhMJw6Be9LlwZNWBhV/Vu+nN1exowA27cDDBtGf48fT9W6WKvLaTQAo0bR+efqSuVpa9TgE3fVq1MfFi9OQqNGDRKNrGTLBnDkCMC339JNrE8farN0Q1OKVkticcUKKjazcSMJvffv2dv4zTc0cfH2JiHLKv4k/P2pD4sWpd+ienWaKLOg0dBkQBLwBw6QvWcMpWNz5SJx1KYNib5u3egctEecVq9OYrR0aRqLatWiinhKyZwZ4H//Axg+nP6eOpVEcjhDGeGMGQHWrAFYv55KNZ86RZOAXbuU24pL0aLUTqk40KtXNKFt2xZg504Ag4H/O1Ka168BHj6ka4gz/zo3/yVxLMS2OqSQJ/uzJsXCKuLGGdavzx8/a4vQUNokAoC4eDGfLZMJcfJk1J89m7phFZa8fy/v+Hd1pfhEHj58kLMwODlxLd3pdDrctWULGi03rY0bx7Y5yZLFi60zWfCeNxcvyqmpvL1pIxUPwcHyJiWtNsnzLsllubhxzS1b8i9VHz2qblzz8+eIZcvK52ECy/52Eydu2DB/Pt81d+mS/BvnzEmhPywYjRQ6YBkfbW+MeUgIYtOm6oS2rFolhy+ULYv45AkiMi7xPnyIGJtr2xxDzpspRSIykrLheHoiFihA9nPlorE/ts2pgeJ++usvOTQmtSnuS2EVJ0/y2+rzHYVV/DQ93ktM51L3ThRWsWgef9sQEWPzHOOwLurYS4awCmNML3z9vDLqYm6qZtNeRFjF50ZoKEDLlrQEB0CekP37aTlVbTJlAujZk/4/eDDAjh3stlavBpg8GRy++gqy3r6tTvt4yZaNlm0bNSKPTevWAMuWsdvLmpW8lW3bUvnasWMBpk9nXhJFJycwrlpFS7cAFL7Rvr3s/WBh4ECAPXvI4xUVRZ65R4/Y7VWuTEvWZcrQ323a8J0nmTOTl7JXL/IsrlsHMGQIu8dMowGYOBHgr78oXODdO1raff2avY116wKcOwfg40Pe9+bNAY4eZbeXLx+t+jRpQqEvM2fSkjrrUnqWLBSK06MHgMkEmm3boPSKFexe80qVyHtbrhzA27c05rB4b7VaGrfWrqXwnK1bydv96lXSn/XwIM/siBH095Qp5FFluRZ69KCVnZw5KSytf38aB1goUoRWoaR2LV5MoVX377PZs8TVFWDCBPK6duhAoVuBgdSHPj40bm3fblfJ5yQJC6Oxb+lSfltxOXGC/mUNqVi3DmDAAAob4iV7DoCCBdXxHLu7AxQpSmFXauDhSfYysFfRtCKDM0ChYgDu9lfRTBQEAO9iANkLqmMPADRwHHLlvAQa+KSaTdVJIbH+WZPsnuOHD6kQg68vba5aty55vscSk0nOW+riwp7xIDTUnMbKkCED6nfvVredPOh01rmGx47l89Aajdbeym7dFBfjiOd52LLFesPVmzfs7UOkjVLSprVs2RDPnOGzFxIi55bVaCiPKO+mtSVLkty0pshDc/Ys5WkGUC9fs7RRz9GRK18zItKmN8vzpmdPviIuJhPiwoVoil0pMDZuzLfxLzSUzmUpA8W0aey/sVQYpVQpysN+9ar9n1250rpoCesm2OfPEaXqoVotGmbOxJ2xlf2Y2LdPzgfu5kYZEdRMyxYTQ+NAgwbyOSJ580eNQty/n/pCyXfeuIHYr5+c9jFbtiRzQiu65kwmyhNdowZ7akDpN5qtwka1HNnJc3zrFr+t7l3Jczw7fnYJJs9x1/aIboC4ZAF/2xARf/uFPMffd1XH3ovbiB0BsW92dewhoinGBzEGUB+jYKOuSohsFSlIsorjo0cRM2emQaJCBVrOTin0esoNLKWIu3ePzU5UFBpjK8KZnJwQN29Wt508xF1+79DBrsIBifLbb1TkQgphUFCMw+bgevKkXKihQAHE27f52vf6tbwknCED/w5uvZ6KmEh9+N13/AUTtm2T0xOWKYP47JnVy4pvQo8eUVoxgDSVr9mKRYtULeKi37QJ9VIYgY0+VETcKoxdurBfJw8fUj5qSUzu2GH/Z0+ckKsO5smDeOUKWxsiI0nwxx7Py2rVUMfT369fU5ib1D/t2ydPXt9HjyjMKmdO+p4aNeTvzJqVzpuhQ2kicfIkTQy3bqXUfGPH0jHHFdm+vojz5iUZ6qLomrt1S86UwxrOVKsW2di4ke3zlrhnJHHMW9QHEbFLZxLHc3+N9xKTOO7SjsTxUs785xJCHCeKEMcpSLKJ4yVLZJHl56co1ZVqhIfLZVkLFGBugy4iAl9IA7lWm2hlr1Rh7Vq5kETNmvwxufv3I2bKJOd6tbMYR4KD67//IhYpQvY8PBAPHeJrX3g4xeFKN8gpU/g9vgsWyOKuXj3lBSDiEjeu2WJiyHQTSu58zS1bsuflldi3Tz5vihUjIcmITqfDE7Nno8kybph3cm058atRg7zoLHz8KIs0jQZx5kz7f4uAALkwjasre153kwlx6VKasAOgqUQJxAcP2Gwh0uRo5kx5HClUiD1OOyl0OppA/vgj9YV03Vk+ChWK/xwAxaU7OlIhmWPH2MtsJ8b06fRdTZuyH6O0wsVbhMdkQnTQkjhW4x7asT2J44XxPb1M49K3bUkc/6ZCgRJExN9mCXGcCEIcpyCqi2ODgTxR0mD27bfqbfZg4d07WZhVqMC0RKvT6XDntm1o7NFDPi7eSmFqc+SInOzf15e/utyNG3Ku1+zZEc+dS/IjiQ6uHz6QcAfgLr+MiHQzHznS+jzj9Zrv2WNdAIK3D589I6+nJIS2bUNEjjyZOh1i797yMceW7ebir7+s8/Ly5ry+eZMKV0grNkpyBFtg7qOAAOs+5C0SdOgQbRYDoNAI1hWluCsO3brZf/59+kRFM6TPzpvHPNHRnzyJUdLqnIcHFf3g4dw5eUOzoyPltua9rpIiMpK86KtXk4e/Xj3Ejh2pHdWqIbZujTh4MOKMGTQBY6j0p+iaq1yZjp91jDKZyOsMwL8JMSaGhLEG+CfsiIjt2pA4XhJ/0zDTuNS5DYnj3zk3v0tI4nh4N3XsCXEsYEVVcWwyUSxY5coUX6fEo5KcBAQg5shBg1XDhuyxtDExiMOGyTe1n35KpgYzcuuWXLUqe3bEOOXIFfPqFU0opNjtJDISJDm4RkeTiFVzOX/ZMnW8gRLXrskxvmpU6AsJofhF6ZhnzUJdTAx7Joa4ZbsbNaLv4OHMGTpWteKaAwPljCpOTkz7DKzOpdBQit+W+vDnn/nGlTt3ZM8kb8EVy3CSmjXtP//0egohKFaMRH/79kzl4XU6He5fvRqNUsYZAPLI8hT5+PSJ2lO8OB1b0aLssbdpBLuF38uX8ooAa7nt9+/l34In/h6RBLEkjtWYpLRuReL499/ivcQkjju1JnG8fCl/2xCFOE4CIY5TEFXF8dSp8sCyfj2/PTW5dEn2CnbtqujmajVomEyIEyfKg9+YMfwTgHv3+D2AEpaC1tVVWUykLcLCEJs1sxJ3CR2vXYNrbHo8s71vvmESBVYcOiR7zQsX5i9jG7dC319/8dnT68nzFXvMxh49cNeWLXypAXfskKscli6N+PQpXxsfPZKX+zNmpDLKPEREUNozS8GmYCIU71zS6xGHDJHt9ejBJzzevZNTGDo40CSLlQMHrEs0K0mTt2qVvFGvYkXacKcAcz9FRFj3T6NGfOFVJhPi9u1yaBAA7eFQI+41FbBb+C1dSsdatSr7l127JocC8fL6NQljrUYdR1OL5iSO/4jvFWcSxx1akTj+I77YZmLpTBLHI7qrY0+IYwErqonjP/6QB1He/MLJxb59spfxh/jlMxPC5qAxe7b18jarB/TuXco/26SJemVXw8JkT5tGQ/GpiLR0Wbw4ed6UYDBYiTvs04eW+CXh3KYNotGobHD98095Ob9yZdlLM2sWbbhTugHrzh15OThzZsTjx+n5s2fJntKNlOHhiC1axI9r/vSJYhH791dmD5FCcWK9jO/KlEHd27f0/E8/kVBT6qm6fJlyyALQyogUI3rqFPWpUoH78aO8MUujkZf7g4PpmEeNUmbPaKQNWFIftm9PS+gmE+X8bdo0wTCnBM8ly5zX/v6yADx4kH6vx4/tb1/clYzhw2WP6+PHdJ3Ye01aeqM9PEgw28upU7LnPmdORasV8fpp/Xp5M2ihQpThhYeQEApfkmKRnZ1posM7oU1h7B6bGjak45w5k/3L9uyRJzu8PHpE4tg9I78tRMRmTUgcr14V7yUmcdy+JYnjFb+r0z4hjhNFiOMURBVxfPcuLR1nzEjJ3tVm2TLEnTvVsbVypXwzXGrfUlCCg8ayZfLydteubN7fffvkm1nFiuptXNTrEfv2lY+1Z09ZSLm5sWUTsNy01qABeack+/v3Kx9cpdRYABSnKq08ACAOHKi8fW/eyBswpbAeS/tKfx+DwTquuVMn6139LGEr//sfmmJTUJmKFbPeFDdmjHJ7L14glisnh77Mny9niClWTPmkTaeT0yAC0DkkFecAYMs2Yukd/fJL65WDuXMTaEYi55LlhtGiRa2zg3RRWDzAZLI+75o3J0EixU2PHGm/rXfv5AwMWi2FXCDSb1StWuK/79OnclGVDBmoz+zAZj9duyYLdVdXdVbx7t61zhSRLx9NONNC2Jwd2DU2ffokn6c8q0+//UY2vv6a3YbE7dskjrOrVMSi8VckjtetjfcSkzhu14LE8UqOlRdL1BbHz28JcSxgQxVxLMVUNm2q/mC5a5d84//nH3VsSoJEq7VLdCc6aGzYIHujv/mGLS7s/Hk512iBAvzVyyRMJvLESjc0y0cCoiRJdu+Wl/MtH02bslfrKlo0vj13d7ZY2shI2slu65hZQ0yWLbO9o16pEItFd/kyRkieQstHlizUfqXEDX2xfCjxYEpIcc227PXrp9weInnyJdFu+fDxsRkfm+S5dOuWLGClCao0KWLJp71pk7yJyvL89vJSlsUjOtoqzRr27i2HOWk0iWfwCAujzWfSZ7//PskJXYL9FBRkPXkdPJg/RaEUaiFVvgOg9Gu86RlTALvGpk2b6Jh8ffm+7Mcf5RVFXi5eJHGcPx+/LUTEhvVJHG/4M95LTON3269JHK/i3GAtseTnWHHcQx17ZnGcQx17mD7EsaiQlxbYv58eTk4A8+apXxO9SROApk0BoqOpqte///LbnDABoHdvqmY2ZAjAoUPstjp1Ati2jSqZbd8O0LEjQHi4Mht+flS9rGhRgGfPqALcyZPsbZLQaKgyWLly8V9bupSOXynNm1Plwbjs28dWta5IEaom5eho/Xx4OFUlU4qrK9krUCD+a4sWKbcHANCnDz3i8vffVL1OKWXLwtUhQwC1cYaw4GCAjRuV23N3p7bkyRP/NZZj1mioelrXrvFfW7cO4NMn5TZr1wZYuTL++PD4MY0fSildmirEubmRTJPQ6wGWL1dur317qkDn7AwQGSk//+kTwJ9/2m/H2Zkqa86aRX//8QfAtWv0f0SAhQsT/qy7O1Xxk6pLzptHY9/Hj0qOhMiSBWDvXoAff6S/Fy2iKokvXyq3JaHRALRqBXDvHsCkSQAuLtRn5coBfP89QEgIu+20wM6d9G/Llnx2pD7Om5fPDoBcTVGtinZS1U4HB3XsSdee2vd9ARdCHKcF/vmHBMngwSTu1MbRkW78lSsDBAVR+dE3b/hsajQkDr/7jgaL5s1J2LLSogXA//4H4O0NcOcOQJ06VLJWCYULU19Wq0Y35IYNqXwwL6NHA9y4Ef/5gAC2ScGxYwBz5sR/HhG0LGWsQ0IAOne2XWp58WI2AT9sGE0y4nLsGP0+SjlwwHaJbp2OTYgFB0PFRYtAY+vYFi2yFnv2Mniw7ZLGrJOWPXsA1q+P/3xkJMCaNcrtvX0LMGiQ7WNjEfCINPGzFLISv//OVp740CEqhR2XhQuV/SYaDV13HTrEf23VqsQnF1otCc+tW0kQHTpEk2fL0s7h4QAPHiTdDgcHgGnTSPR5eNA1VrEi22TEEldXEvD37pFYNhoB5s8HKFaMJgYs12xqo9PRtQJA4zkPySGO1SgdDSCXY0/r4liIbS6EOE5tjEbykERFAfTokXzfkzEjeUEKFwZ48gSgWTPl3tm4ODqS+PrySxoY27YFWLGC3V79+gC7d5P37/JlgKpVlXu5s2UDOHIEoE0balPnzgAzZ7KJJQlpwLfF0KHK7e3aJQ+wcdAuXgwOtsRKYly+TN5DW/z7L3nSlICYuPd1xAhl9gAANm1K+Df4+WfFQkzzzz/g9v697RevXycxrgSDIeGJFCLAqFHK7AGQtzShY54yRbkAOnAA4PVr268dOgRw65YyewEBdL3Z4vVr5QL+xQvZYxuXu3fpulTCjh103sQlIsK+caZ1a5os588P8PAhCeT9+2ncq1oVoEQJgNOn7WtLixYAly6R4Hj/nlbjRoywPRFQQsGC5FQ4eBDA15dWUXr2pAn+pUt8tlOaEycAQkMBcuakvuZBTXEsjadqi+O4K3WsmMWxSnKM514nMCPEcWoTGEjCwNERoHjx5P2uHDnoBpstG8CVKyRm9XoaPJYsYfOOOTuT+PruO7rZ9+4tL4eyULky3dAkEV+tGoVLKMHVlTzlkogbNw6gf39rz6oSYbJ/P8D06STe4w6w//5LNzMlTJ1KnuNmzcgbZYHGYIDa33+vTCzWqUNCrHNn22EBHTsmLKpsodHQzXrQIIAyZeK/fvAg9a8SZs4EmDgRwN+fzhlLIiNpgqXgN8FGjeD6gAFgatWKzue4NGlCIsZeHB3p2ujTh0RKXHbsSFhIJsScOQBjx5IQi3sj/fSJxJmSG1m7dnRtNWhge4m4UiVlE97ChQHmzrX9mwBQXwQG2m8vRw4aUxJavm7YUJmY3LAh4dcmTrS9UhKXcuVIZNasScKtSRMKubp9m/p++nT721OsGK2cSCFRc+fS+PTwof02EqJhQ4CbNwFmz6bQkAsXSGAOHEjPpwd27aJ/v/6avPesINJEC8D2eKYUtcMq1PYcS+Pef8rT6wZ6vRsApGEhn0Ix0J81XBvyzpyhjQcFC6rfsIQ4f17emd61q5x6p2ZNdpsmE+LYsfImk5EjrTYWKt6o8PatXGXJxYV9I9jChfJmIynV25MntImpdm3lmx9jYug3mzDBelPU+PFsqegMBkoPN2eOnEMaAI0NGtDOb6WYTJRHdeVKSr8mtY+nMMWHD9T/ltUNNRrE3xlTD0VFIZ48SZs6pZ3tAJTOzs70VvHyZt+5Q5lTSpaU7RUqRBkCWAgMRPz7b8quIdlzdKQy4yyEh1OhjB9+sN781rUr2wZUnY4qsc2cKWdQAaCsG7F5fhVdc9HRlPlk2jTaTCXZy5uXKj0qbduFC5SqsXlzOd0gAGWcsLfIx7NnlMauVi0aA+JuRCxf3v7sKTEx1pURLR668+eVb6LatYs2fwLQdct6Xtji9WvaqKrVUtpIACoI88cfTNVJ1SLR88lgoPuHRsNf7OTjR3lDJ285dkTEFStoQ17zZvy2EBGrfEEb8vbujfcS04a8Fo1oQ976Neq0b/EM2pA3qpc69pJjQ57eB9EAqNdxlgZnQGSrSEG4xPGtW5Sponx59RuWGHv2WN+kpQdvgnrLHfo9ephvXkyDRni4nEFAo2HP/bxjhzwZKFuW0nNJbTxyhM0mIonh8eNlWx06cJf51v/9N+qlHf+lSvGXTv33X/kGmzEj/e48REcjdu4sH7NlXltWLNOUWeZrToREz6fr19Wr3oZI2S+++YZ/ImTJr7/KGVpq1aIJCA8nTsjZWnLlQrx8mb3ENiKVsC5cmOy5u9sUAnZjNNJkUhI8Sot8IJK4PXcO8ZdfrIVy/fr2p1Q8csTmmGds3Zqtn16+pDzRkq1vv1VXvN6+TZk3pPzI0m/x3Xc0+VAjq1FgIOL06eay7ImR6Pkk5SUuW5a/Ct2tW+o6jFaupGvs+2Hq2OvcEbF2LZvjCtM1N7gvYoNaiFv/Vqd9qxchtqmFOGucOvae30KcUgtxVhN17KEQx/8ZuMRxcLA8+D14oH7jEsJopApGccXxpEn8tlevlm/8LVogRkWx36j1euucsaNHswmT8+flIgGWj5YtlduKy+rV8m9YrRrlamVEp9Ph8Tlz0GRZmIK3hPXHj4j16pE9rZby+PLcWE0m8jBKfdiiBb+H5+RJ2ROXPz+Js0RI8nx6/966ettyzjRJcSdC7dqxpYyzxLIqXJEi/Nf/kyc0oQJAdHVF/ebN7OIYkcamunXl82bBAr7z5u5dWrEBoOM+eJDd1rZt8kpLsWJJ992nT7avfwA0aTR4eMkStn4yGOhakMa7woWpkqiavHlDk4K46RrLliVnxKVLygqKmEw0mWrfXh63KldO8mOJXnNSKtIRIxQcWALs3SuvDKjBrFnkOe7eTR175cuQ51gtcdy8IXmONygvEW+TRT+R53j0d+rYe3YTsRMg9lehWmEsQhz/R+DOcywlhp81S92GJcawYTZvFFiokDoeiZ075Zyn/v6o+/BBHjQMBmXfYTJRBTSpjR07KvdOmEzWpXilh1arvJKcLY4epXyu0g2SMQG+eXB99EguaODigrhlC1/7dDryOEnHPXAgf7ntjRvl37hCBfKk8fDwoezVz5SJClUkgF03obhe7pEj+T2+a9bIXm4/P7Z8wJbcvi3nvLWsSsjKp0+IX31lFn23u3VDHU+JaJ0OsVcvuQ8HDOA7b96/p+V3adKyZAm7revXqZAGAF17hw4l/N5nz+Rz1cYjxs2Nr5/OnJFzRjs6UkgJ77kWF0nUfvutfCzVqskra0WKILZqRV76zZup+uOFCzSRWLiQCqh07kxFZCyPv2pVxHXrkhyTE7zmAgJkj7wapbGl8tNqFABBpII5GmDPLx6X0iVIHB87Fu8lJnHcrAGJ479UKDSDiLhwuhDHiSDEcQrCLY6XLKHB4Msv1W1YQgQGJniTQACKPVSD48fNVbhMFSrgvjVrUHf9Oi37NmyoXISvXSt7OmrXJo9oeDiJAX//xAXzokUJH6+CMtiJcveuvJyfOTPdyBRiNbiGhsolrAEovpTX4/vLL/KNrHFjtiIhlvzzj7ycnycP4tWrfPaCguRqclptgqE0dt+ETCbrCnotW/J7uU+ckItxFCjAX8DhzRtZsDg52V3ZLUH0ehKxUthAz558xSvinjdffcUWDy8Rt8jH4MHsgvvNG1kgOjjQdZ7QNfLyJeJff1FhkBo14hXiMbZuzXduBAdbFyD56iv+yVNi37VwIZVgl66/uI8SJWw/37AhHXufPor2ISR4zY0aRXYbNVLn2KS9K4MHq2Nv9GgSx99/r469EsVIHJ88Ge8lJnHctD6J443xi4owIcRxoghxnIJwi+OXL0mo5MvH7zmyB6nca5EitgdPDw/1vuvKFfPgHZ4zJ5py55a/5/x55fYOHZLL3pYsaV2OdcOGhD/Xs2fC4tjBQdmyZGK8fSuHqzg5kUdGAfEGV72ebhJSW3v14q/SZVkquEwZfs/548fyjThjRqoAyENMjPXmv6FD48U1K74JbdggbwyrWBHx1Su+Nj54IC9ze3iwVdGzJDKSlrmlYx43js/zaDKhYe5cNElVCevWZSt3bsmOHbKgLFmSLx7eZEL8+Wf5eBs1YhfcccV23772XSN6PeKNG2isWBGN0mdLl6Y4fVZMJgrhka6vHDn4rwd7ePOGYqrnzaOxrkoVWmHLm5dWOFq3RhwyhFYnjx1j6mub11xkpBwOpdZxduxI9mbPVsfe4MEkjsePV8descIkjs+cifcSkzhuXJfE8aZE7l9KkMTxmN7q2BPiWMCKKuWj+/WjAaFIEf5YRiXcv09xa5YbSwAQJ05Ur4z1gwdokpY/LR/durHZu34d0VJkS49q1RL+THQ0LTUOGGCd0UB6FC3Kv5FEIjKSYlIZ+jLBwXXhQrn8cr165DXn4eJFRG9vspczJ/3Nw8ePtDlKWuKdN4/fy20pnpo2tdrsxHQTOnNGjjvlyd4h8eEDbfSRJlhLl/LZMxrlsrkAirJ32EKn0+G58ePRJMXm+vryL3tfuSJfezly8Jejt5yolSpFEy0WTCYSU5J3u3Ztuzc56nQ6PDVjBpqk68HTk3/j6p07NPHMm5fColq0QHz0iM9mKmPzmlu7lvosf37+jbkS0l6Bv1XaoNarF4nj6dPVsVe4IIljG84dpnGpUR0Sx5s3qtO+BdOEOE4EIY5TEFXE8adP8k1n7Fj1GqeEDx9oQJduzsOHqyOQ9Xo0Skvllg8XF1pGZ2HyZNteYHsFz5s3NPhaLknWqsXenrgYjeT9k2x37mxXJotEB9e9e+VNSMWL8wudZ8/k39vV1a4d64mi01lvnuzXj9/LvWWLnJ2ANU2ZJY8eWWfv4PV2xfVaDh3KH8u9dq119o7Xr5nMmPvo0iUSaQCIWbPyh029eEGbpQAo9jWxFRt7uHxZTkeXPTvi2bPstvbulVeWfHzsyoph7qdnz2RhJk1qebz3kZHkqZVCwZydyXupRnqyVMDmNefnR8c2Y4Z6XyQ5UlhWFm3RuROJ47lz1bFXMB+JYxsbL9nEcW0Sx1s2qdM+IY4TxV5xLIqApBU8PakcMwAlgr92LeXbkDUrJZyfP5/+njuXinokUM3Nbn78EbQnTsR/PjoaYO1a5faOHqVCGraQ+jApcuakogrv3lF1MQ8PgFOnqGBDQIDyNsVFqwWYMQNg5UoqAPH8ORUR+fCB3WbTpgBnzlBi/JgYgK++ooIprOTPT/YaN6aiI1OnAvzyC0kDFpycqOzwnDmU0P7uXSorHhLC3sY2bQBOnqTfKyICoG5dKmDDio8PFZWpV48qKE6YALBgAfsxOztTud+ffqK/r12jcsBhYext7NqVqsllyULFQurUUV79zpJy5QAuXgT44gsqEjJoEBWNYSVvXqos9/XXdB4uX04V/1j78IsvqH0VKlDhljFjbJfdtoemTen3LVSIqkZ++aX91RJz5aIiH4MG0d9Tp9L5+/EjW1tcXakE9s2bVLglJobOk+LFqYgOa3+lFa5epWIlTk4AvXqpY1Ovl0u458+vjk21K+RJxWfSavlote2l5UIdyUkKifXPGlU8xxJt29LyedOm/JuleFi9Wl7Gb9uW4kBZsdykEvfh6qrcO23pkY370GrZcsbeuiXvNs+a1WY8GTPHjslxeUlksrDL8/DqlTkjATo7U9YIHvR6SuGnZlzznj2Uk1VaLufN1/z0KWKdOuZzhjtNmU5HGzGlY+bNwoCIuH27HCJQrhx5WHn49195s1kS2TtsEe9cCg+nLCXSMU+YwLcyZDDQUrVkr1Mnvjzf4eG08iCtFPDEXb9/T6FixYtTnPTPPyd4rDavuXXr5Hb4+FAoFw8mE8VsFywo95e/v/ICK6lIvH6Sst906qTelzx9SjadnNTL9tHoK/Icq1WoJVcO8hzb+O2YPMcNa5HneNtmddo3fyp5jsf2UcfesxvkOR7grY49TB+eYyGOVUBVcRwYSMIYgDab8YhSXrZtk5d3Gzdmj3+Mjkb99u0Y0KwZmqQ8rJaP2rWVDYTR0STeu3SRl4stH97ebPHDgYGIlSqRjQwZ+EWnJXfuyDdGLy+baYAQFQyu4eGU6kg65mnT+ENgLOOa1djAZblcniMH/zKp2mnK4sapfvUV/4T03Dk6VgBzMQ4u7MzeYQub55LRSCm9pPNGhcI1uHy5HDpQtSptSmUlbjhSy5ZU1ZKFmBgKDZNstWtnM6QhwWvu6lX5mnV1RfxThWwCkZG0GVqaRGm1NGFRK5wrGbHqp+Bg+RjUdCScOiVPSNTCvxaJ480qic8cWUkc2wjZYRLHDWqSON7Oma5TIl2I49yx4lilzFgKEOI4BVFVHCNSLJMUW9q1q3ob41g4eFAeBGvWZN5RbjVovHlDKZUsyiVjmzZsN2mTifLjLl9uneS/Rg02D3JEBN2QJTvTp6vX/2/fyim7HB1tpuxSNLgaDNY3/y5d+DcV7t0re3zV2MD14gV5UaUYc95NNmqnKUO09viWLk3eKx4si3G4ubGXPpeIm71jyBC7Nj8lei6tXKmeoEWkTAlSnu+CBWklhod16+TsIuXLm2PNmfj9d/lYy5WLt4qRaD8FBcmrNFLf855viBTv37atbDdrVmqnWpvakgGrfho3js6bZs3UvT8tX079kdjmaqVUrkTimKfKoyVZvUgc21gBZBLH9aqTON6xVZ32zZ9C4nhcX3XsJYM4RgMgGgANOpUykihAiOMURHVxjEj16aWqS2qloGHlzBnawQ1AabDev1dsIsFBY8MG2TtdvTp/Gd3Dh+WqY0WLknBWisFAlZ6kG1f37up58JNI2cU0uP7+u3yu1KzJ34fXr8se+WzZ+D1DYWFyGXAAKujCmcnCKk1ZvXpp08vdsCHZ02jIQ52M2TtskeS5dOyYnK+5YEH+fM337sklpxnCQOJx9qzshc+Zk7zyrJw+LdvKmpWK9sSSZD8ZDHIWkbx5KbyHN0xI4tgxmpBJv2v58tTWNIi5nwIC5JCTrSoJOgnJU585s3o2S5cicWzxm3PhlYnEsY17C9P4XbcaieOdnBuiJdK6ODYFWojj7urYVIAQxylIsohjRMQVK+RB8/ff1bWtlGvX5MwOJUooroaW6KBx/LgsvosW5fdWWlYd44kfXrrUOsyAN32aRNyUXRaliJmzMBw8qG4p4tevEb/4Qg4x4c1IYDBYV2Xs1o1rwhEvTZka2TuSw8vdv798zL17q5u9o2zZRHNU23Uu3b8vC1o18jVbprdTGAZik6dP5Ywqzs604sTK8+fyOe3gYC6jbvc1t3Mn5Q8GoPFqk0rZBfR6CmmSPO8AlN2Gt+Kkykj9ZJQm9/7+6nqNo6JkR4maufZ9CpE45k07KOHuSuLYxgSJafyuU5XE8a7t6rRv3uS0LY6N35vFsUmfA9GkUgpVOxHiOAVJNnGMKG+U0moRd+1S374S7t+XPYoFCypKlp/koHH7trwhLnt2KnvKQ2AgpcGSbqqsN7J9++QwgxIl2POw2sJGKWJmcYxIfWjpeWGo0GdFeLh1iMnkyfw3wyVLZC+3vz+zl9vcTxcvquvlDg2VY/5V8nLj/PlyXLMaOaovXCBPqhRfn0COarvPJbXzNcfE0GqL1IeDBvFtdgwNtY6v//FH9s1akZEUfmQxSdOFhtp/zT15Ihf5AaDNq2qlZnv3jiZQ0rmSMSOdf2kkHlmn0+HJmTPl1ZArV9T9AssNss7O6vVrLm8Sx7ybKiVcM5A4thHqwzR+1/6SxPHuHeq0TxLHP6hULltNcWwKRDS4mMUxGgDR+Bu/XQUIcZyCJKs4Npnk6m6ururlfmTl6VPy7lauTDdmO0WsXYPG69eIFSrIx7pzJ19b48YPswqd69epaETlyiRK1PJAIJLX3GJpW3f9Ol8WhriliNes4Wuf0SiXh5U8WrwbuPbvl3PRFi3KVJHM6nx69Sr5vdy8sdy7d1vnqOYtCGFHjmpFN2pb+Zp54l9tVcDj2exoMFAZYMkeT6lnk4ly3sauChkrV8YDK1faf83p9STQJRHr68tfUMaSy5dlAV62LAnFDh0oZEytDA4M6KKjMahYMWpXz57qGr98WZ40Sw+eVQJLPD1IHPOupklkcCBxbKPKJpM49vcjcbyH834nkZbFsYXXWH7kS1HvsRDHKUiyimNEWopt1Ej2jvGUN1WDN2/kFFOurnYVUrB70AgLo8wYkndi0SK+thoMiN9/b+3pYRGeL1/KNyweT7QtHjwwl/I2eXjg2cmT2cUxYvwKfePH899ULTMSVK9OXi4eLFPnZcmi2MttM01Zcnq5a9Xij+W+do0mWWp5uUNC5GsFAHHmTKtjVnyjNploAinZa9YsybjmJIlbAY83Vnf1anm1pWJFvnR5hw+bUyxGeXmh/uRJZZ8/flwu3JQhA+KCBeqFGRiNtO9EchZIj4IFKdsFb5pAiQcPaCJkR4VM/Zo1NEa5uzMXprFJTAxNAiyPEwCxSRN17OfIjuidk29TpyXZs1DGisDAeC8xV8jLmxXxf5xVGSUWTkcsnxVx8hB17D29jtg3K+LI4nx2bHmNU8F7LMRxCpLs4hiRRKPkHStcmH93OS+hobJg12oRf0v85FY0aOj1tLwoDZIjRvCLu8WL5fjh+vXZsm6EhSE2b67ekrsl79/TZjoANGq1qE+iP5MkkbhmZg4flmPDfXxoAxYPgYFyDKdCL3eCacosvYu8eXcRrb3casRyv3pFok4tL7dejzh4sHzMPXuaY7mZQ3T+/ts6rplXVMStgMe78nL6tJyZJlcuvtLnjx6hKXZDnMnJiSaBSnj/3jrko2lT/oljXK5codh16dqTxtzGjRHXr6cJh5Lx0WCgVbkGDWR7336b+GciItAUG75kmDaN52jik1C1UwcHcsTwoNeT11gD/JNbROpnB6CHDXtM11yNSuQ53qeSOJ47CbEAII7vr469p9cROwPiwFx8doyTbAtjAyAaiqjQUPsQ4jgFSRFxjEgDRaFC8jKlWhvEWNHpyBMrDWZjxyY4SHN7sdq04Rd3luWXWb1YcT3RamayiI5GY6dO1pMC3tROceOabXg7FHH3rnwOenlRCi8eIiOtU1r98AN/mjJLL3e1aup6uTNnJo8hD3G93JMm8U+yFi2SJ3916iAGBfHFr58/bx3XzLsHIG7Jad6cwY8fy1keXFy4VnJ0wcH4UloJAyAhquSaNplo8u3sLAt23uvCFhERlOLO319uqzS5zJiR/t+jB+KcOTSpu3+fhPWOHbThb9QoypRTtKj8eY2GVggOHUr8uydMQATAiOzZUce7mhAXaeJk67FgAZ/t0FBZHPPePxDpvJDEsY37L9M1V/0LEsf7VUo1l2bF8Z+IBi9EgyuaDJrYDXnOsd7k1uq01Q6EOE5BUkwcI9KA5+9Pu3nLl099D7LJhDhlinVMqo0bC/ONev16Enc1a6ojdK5epcG4SBHywLN6nZYulZfca9dWbdOMLiYG73bsSHb9/RFbteLfmHLiBIk6X1+Kd+XNQfvuHf0Wzs4U97piBZ89o1HejOPvb5eXO8nz6cgR8rQVL45YsqR6Xm4XFzrm1av57FnGcteqpU4s97595OUuWRKxTBnU3b3LF7/+9CkJ0IwZ6Zh503aFhcle1po1ESdO5JsUhITImyf9/Jg36ul0Oty5YwcapkyR44g7dFAeOnDjBm3alUTn2LHq5ES2xcOHlAaydWt58hv3IcWkx33Ur09ZfEaPtm+D8ZkziJkyobFePbwwejRfyJcttmyJL9qlx/TpfLbfvpXFsRqrfJGRsji2MUlgus9Vqxgrjv/H3z5ExF8nkjj+cYA69tQSxxaYTIUQEVCvV7GAjJ0IcZyCpKg4RqQNYlLOTl9f9eLPeFi1SvbW1akTb1bN5cU6dUouv+zjk2j5Zbt4/pyyBgAkuJnJLiyX3IsVY8upHAepn/SbNslL2198YXPzhyIePJA36qmRsisqynrT2ujR/KEvGzfKhR9is3ckhF3n0507csVDT091vNxDhlh7uXmPed06dWO5b9wwp6MzZcmCp3/6iU/MhITIZYIBEGfM4C85bblRjzfcx2Agz7sU18xQUc/qXNqzh8bULFlojFWaGzcigkpgW3p2ecerpNDpaEVnyxbqizZtSKS3b09e/8qVEb/5hmKLf/2V8kfbOxELDDR7do3t2uHOHTvUF8cS0nnRsSOJ9suX+ScXT56QMHZzVaWJGBYmi2MbFWOZ7nNVK5A4PrBPnTYKcZwoQhynICkujhFJ7OTLR4NJgQKpv0kPkXLtSmnPSpe2ilXkEseINPirmaYsNNR6M9Mvv7Dd9G/elJfcs2blTuBv1U9nzsixlXnz8qci+vDBHNesSsouk0lONQhAN2DWEuMSkpdbOq8TKExh9/n07h2JTgASoX/8wdc+o5E2OKoZ7iN5uaXJn4qx3EZHR9SvXMlnL25csxqhRKtWyR7PypX5N3itWSNPrMqUUZRyMd659O+/8gYxrZY2wCmdBG3ZQmFHWbJQeMrEifzXRkqj08njRalSqAsO5hvDk0KaVEyYoJ7Nu3dJHGfNoo69T59kcWwjgw3Tfe7L8iSOD3IWzZH4dQKJ4wkD1bEnxLGAlVQRx4iUzklKrZMzJwm11ObaNTmGLE8e8mShCuIY0br8spMTed140OsRBw6Ub/qsRRoCA2UPJecmq3j9FBBAoQEANPHgLYEaHU0lyaVj/v57/rjmP/+UhUmlSvxCxyJ7R0JebkXnU1QUbc6TjnnUKH6Pr2Usd5Uq/BuH7t4lYayil9vYurV8zGpkLLHc1KpG9o4TJ+QVobx5+dOhnTtHnlJponrsmF0fs3kuRUZa76f46ivlXv2nT61KnWO+fIibN6tbOCM5kVaGPDwQHzxQZwxPDKmi5KpV6tm8fJnEcb686tj78EEWxzbGTaY+8itH4vjwQXXaKMRxoghxnIKkmjhGpJuyVNUrc2a+Eqtq8fSpHHvn4YF45Ih6A2vcDVxqbGZasECONWzQgC2TRUQEeU6ldjGmErPZT8HBVKFP8mQtXKi8fZaYTBTLJ7W1eXPFS9HxOH2aBIkkAtTwcidSmIJpg6flrng1Y7klL7casdyWXm6lmRPioIuOxgdt2qgXwoCofvYOy8lfxoz8uc1fvpQnqg4OlI4vCRI9l9askUM28uShkAQlmEwUqy2tLklx9bFOgzTLr7/Kq4Cxv0myi2Mp5tjOSY1dnD5N4rhYUXXsvX0ri2Mb4ztTH1UpS+L4SBKbIu1FdXF8TYhjARupKo4RSTxJOXgzZlSvhjxvm6Rd1Y6OqF+1Sr2B1WhEHDNGvtl8+626RRpKlmTLZBE3lRhDuxIcXONmBuGtOoZIO/ylHfbly/PHrgcEULym5OX+H+cGk7iFKSy83Mw3aksvt1qx3NJNPVMmEo88qOjlNsevr1gRrxIjF7duyeXZM2fmFzMfP8ppxTQaxFmz+Ca8kZHWfdi3b6JhIEmeS7duyee1oyNlg1DavogImpxJ+wi0WvIqp9Y9IyEsQ2hKlSKRHEuyimOjUb4ueXNhW3LwIInj8uXUsff6NQljJ63Nl5n6qHIZEsdHD6vTxjk/kjieOEgde5I4HpRbHXsoxPF/hlQXx4jkBZNuMM7OqV9qGpHETYcO5pvU3U6dUMcrYi1Zvty6SANvxoirV+Wk/jlysFcjtGxXjRqUC9VOEh1cTSYSDtJNv3FjvqpjiJRzNnt2spc7N39J2OTwclum9Iv1cnPdqJMjllvycmu1dnkrEyVuBpiWLZm83FZ9ZBnCoIaX27ISo6MjohpxzZYhCLxxzSYTFUWRVoRq1UowLMKucyk01GoswxYt2FJpPn1qvfKVJQudL7wTXTX4+FEObQCIt/kyWcXxy5eyt1/Nvti5k8Rx1S/VsffiBYljFyebLzP1UaXSJI6PqZT+T4jjRBHiOAVJE+IYkcRoq1byIMObS1QNLFJWvS9ZEo09e6qb3ujQIQrdAFAnY4RlPlYXF9pYw4JUMKN6dUXLz3YNrpZVx8qUodhzHh4/Jm85AKKbG//SdnJ4uf/+28rLrXv8mO9GrXYsd0yMuuWXESl2XfKmVayo2Mttc6OZml7uyEhrwahGLLdlvuaaNRVNLG2yZ48cBlKggM2JkN2CxmSi8B7pNylUiGJaWTh+3DrVWtmy/JuMeXj4UL4e3Nz4y5Er5cwZ+u6CBdW1+9dfJI7r1VXH3tOnJI7dbWe/YOqjL0qROD6u0oqvJI4nDVbHnhDHaZvp06dj1apV0dXVFT09Pe36jMlkwgkTJqC3tze6uLhgvXr18N84WR2CgoKwU6dOmClTJvT09MSePXtimML4yzQjjhFJhEgbrjQa/owEKqFfvhyNkje1YUN+j6cllkUasmblL8sbFkaJ8aUb188/sy3z3r4tixE7M2zYPbhevChvPvL25qsShkhx1pZL27/+yre0nRxe7nPnzCkMTblz4/Fff+W7Ucf1cvMWHDCZyNsmHbMa5Zctvdx58ijatGbzXAoKksOd1PJyT5zI7eW24sABecLr40Mp+Xi4e1fe4OnmFi9fs2JBc+mSnDknQwaqDspyrej11P9S3LoUF8472VXCv//S5FUS6nny0AqaDZJVHK9fT99fp466dleuJHHcrKk69gICSBx7utt8mU0clyRxfEKlWOvZ44U4ToTPThxPnDgR586di8OHD7dbHM+cORM9PT1x586deOPGDfz666+xUKFCGGWR47FRo0ZYrlw5PH/+PJ4+fRqLFCmCHTt2VNS2NCWOEcl7Y5l66eefU7tFqNPp8NwPP6DJzU32eKpV6x6RYsGkjTjOzpQzlweDwTqnba9ebB5vy+VnJ6cki0coGlyfPZNvajz5muUvp/hMy1hN3huh2l7uJ08oFhIA9c7OqOctTKHTWefxHTiQ38u9ebMcW1quHP95/uiRvME1Y0aKj7eDBM+lmBgKW1DTy20Zy12xIi2T83DnjlyJUY283MHB1uWSJ00ye7mZBE1wMIVWSPY6dWLf1PrhA4WUSB5zV1cKq1GjopstTCZacZMKqEiP4cMTXZ1IVnE8bRq1oUcPde0uWkTiuF1bdew9eEDiOIunzZeZ+qhCcRLHJ4+r0kQhjhPnsxPHEqtXr7ZLHJtMJvT29sbZs2ebn/v06RM6OzvjxljhdPfuXQQAvHTpkvk9+/fvR41Gg68ULGGmOXGMSAPgjz/KA9+YMamaQsg8aJw/L3s8c+fmT99kSdyyvD/9xG/Tcpm3bl22TBaRkeQRktr1ww8J/haKB9eQkPj5mnkwmchrbJm9g9fje+mS/JvnzEl/8/DpExpjhY5Jo0GcO5fPnsmEOHu2fMyNGvF7fC3LL+fKxR/L/fEjVTaTPPvz5yf5kSTj1y2LcTRtyp+xxNLLrca1/e4dxexLYWK8Xm693rpwTWxebmbRZzLR5jxpRax4cfJSs3L9uhy7LoWB8G5qjcuff5onl1YrHIcPJ3l/SFZx3LMntWXqVHXtzppF4rhbV3Xs3b1L4ji77bzJTH1U3pfE8emT6rTRLI6HqGMvGcSx0VgLQ0Lyok6XdsWxI3ymPHnyBN68eQP169c3P+fp6Ql+fn5w7tw56NChA5w7dw68vLygUqVK5vfUr18ftFotXLhwAVq1amXTdkxMDMTExJj/DgkJAQCA4ODgZDoaRoYNA62jIzhMngzGmBgwpWL79Ho9REZGQlCBAuC0bx84duwI8OYNGCIjAYKC1PuiZctAmzs3OCxdCsawMDDx2u7YETRZs4JD796AISFgDAsDMBiU21m8GLR584LD3LlgDA1N8Lcw91NQEDg5Odlne/Vq0P74IzisWAHGkBD+Y+7WDTQ5coBDnz6Anz7RMev17PYKFQI4cAAcO3UCePYMDBER3L+5ftUqeNejBxQ8ckSdY+7RAzTZs4NDv37yMet07PaKFAHYv5+O+eVLVY4Z1q8H7Zgx4LBunV3ndpLnUu/e9DsPGAD48SMds8W4ppjixeXfWY1rW6sF+PtvcBg+HLR//63O7/zjj6Dx8QGHESMAP3wAY1gY6BGVX3MS3buDpkQJcPjuO4DXr/mOOW9egG3bQLNzJzhMngyaZ8/A8Pw5oIrjo/bcOXC4cwfQzQ1MnTqB6bvv6FwFAEji/sA0NtnbroIFAVq2BCxSRNXj1WTJDNo6dQF9CvOfOwAA0dHgUKcuQMaMYLRhj6WPHCpUAsiZG4wAqtwLNVm8QetXBzBnXnWOOcoADoXrAGTMbPOYWdBocsLHjx/B3d0Ejo4q3v/tICwsDAAAEDHxN6aMVlcPez3HZ8+eRQDA13EKErRt2xbbtWuHiIg//fQTFitWLN5ns2fPjksTidWdNGkSAoB4iId4iId4iId4iId4pLPHiyRSl6aq53js2LEwa9asRN9z7949KF68eAq1yD7GjRsHw4cPN//96dMnKFCgADx//hw8PT1TsWVpl9DQUMiXLx+8ePECPDw8Urs5aRbRT/Yh+ilpRB/Zh+gn+xD9lDSij+wjNfsJESEsLAxy586d6PtSVRyPGDECunfvnuh7fHx8mGx7e3sDAMDbt28hV65c5uffvn0L5cuXN7/n3bt3Vp8zGAwQHBxs/rwtnJ2dwdnZOd7znp6e4oJIAg8PD9FHdiD6yT5EPyWN6CP7EP1kH6Kfkkb0kX2kVj/Z48RMVXGcPXt2yJ49e7LYLlSoEHh7e8PRo0fNYjg0NBQuXLgA/fv3BwCAqlWrwqdPn+DKlSvwxRdfAADAsWPHwGQygZ+fX7K0SyAQCAQCgUCQdtGmdgPs5fnz53D9+nV4/vw5GI1GuH79Oly/fh3Cw8PN7ylevDjs2LEDAAA0Gg0MGzYMpk+fDrt374Zbt25B165dIXfu3NCyZUsAAChRogQ0atQIevfuDRcvXoSzZ8/CoEGDoEOHDkm63AUCgUAgEAgEnx/pJlvFxIkTYe3atea/K1SoAAAAx48fh9q1awMAwIMHD8yZIwAARo8eDREREdCnTx/49OkT1KhRAw4cOAAuLi7m92zYsAEGDRoE9erVA61WC61bt4aFCxcqapuzszNMmjTJZqiFgBB9ZB+in+xD9FPSiD6yD9FP9iH6KWlEH9lHeugnDWJS+SwEAoFAIBAIBIL/BukmrEIgEAgEAoFAIEhuhDgWCAQCgUAgEAhiEeJYIBAIBAKBQCCIRYhjgUAgEAgEAoEgFiGO7eCnn36CatWqgZubG3h5edn1GUSEiRMnQq5cucDV1RXq168PDx8+tHpPcHAwdO7cGTw8PMDLywt69epllZouvaH0eJ4+fQoajcbmY8uWLeb32Xp906ZNKXFIqsPym9euXTve8ffr18/qPc+fP4emTZuCm5sb5MiRA0aNGgUGgyE5DyVZUdpPwcHBMHjwYPD19QVXV1fInz8/DBkyxCp7DUD6P5eWLFkCBQsWBBcXF/Dz84OLFy8m+v4tW7ZA8eLFwcXFBcqUKQP79u2zet2ecSo9oqSf/vjjD6hZsyZkzpwZMmfODPXr14/3/u7du8c7bxo1apTch5GsKOmjNWvWxDt+y6xPAOJcArA9Vms0GmjatKn5PZ/buXTq1Clo3rw55M6dGzQaDezcuTPJz5w4cQIqVqwIzs7OUKRIEVizZk289ygd61Qn0eLSAkREnDhxIs6dOxeHDx+Onp6edn1m5syZ6OnpiTt37sQbN27g119/jYUKFcKoqCjzexo1aoTlypXD8+fP4+nTp7FIkSLYsWPHZDqK5Efp8RgMBgwMDLR6TJkyBd3d3TEsLMz8PgDA1atXW73Psh/TEyy/ub+/P/bu3dvq+ENCQsyvGwwGLF26NNavXx+vXbuG+/btw2zZsuG4ceOS+3CSDaX9dOvWLfzmm29w9+7dGBAQgEePHsWiRYti69atrd6Xns+lTZs2YYYMGXDVqlV4584d7N27N3p5eeHbt29tvv/s2bPo4OCAv/zyC969exd//PFHdHJywlu3bpnfY884ld5Q2k+dOnXCJUuW4LVr1/DevXvYvXt39PT0xJcvX5rf061bN2zUqJHVeRMcHJxSh6Q6Svto9erV6OHhYXX8b968sXqPOJcQg4KCrPro9u3b6ODggKtXrza/53M7l/bt24fjx4/H7du3IwDgjh07En3/48eP0c3NDYcPH453797FRYsWoYODAx44cMD8HqX9nhwIcayA1atX2yWOTSYTent74+zZs83Pffr0CZ2dnXHjxo2IiHj37l0EALx06ZL5Pfv370eNRoOvXr1Sve3JjVrHU758eezZs6fVc/ZccOkB1j7y9/fHoUOHJvj6vn37UKvVWt2sfvvtN/Tw8MCYmBhV2p6SqHUubd68GTNkyIB6vd78XHo+l6pUqYIDBw40/200GjF37tz4888/23x/u3btsGnTplbP+fn5Yd++fRHRvnEqPaK0n+JiMBgwU6ZMuHbtWvNz3bp1wxYtWqjd1FRDaR8lde8T55Jt5s2bh5kyZcLw8HDzc5/buWSJPePr6NGjsVSpUlbPtW/fHr/66ivz37z9rgYirCIZePLkCbx58wbq169vfs7T0xP8/Pzg3LlzAABw7tw58PLygkqVKpnfU79+fdBqtXDhwoUUbzMvahzPlStX4Pr169CrV694rw0cOBCyZcsGVapUgVWrVgGmw/TcPH20YcMGyJYtG5QuXRrGjRsHkZGRVnbLlCkDOXPmND/31VdfQWhoKNy5c0f9A0lm1Lo2QkJCwMPDAxwdrWsdpcdzSafTwZUrV6zGFK1WC/Xr1zePKXE5d+6c1fsB6LyQ3m/POJXeYOmnuERGRoJer4csWbJYPX/ixAnIkSMH+Pr6Qv/+/SEoKEjVtqcUrH0UHh4OBQoUgHz58kGLFi2sxhZxLtlm5cqV0KFDB8iYMaPV85/LucRCUuOSGv2uBummQl564s2bNwAAVmJF+lt67c2bN5AjRw6r1x0dHSFLlizm96Qn1DielStXQokSJaBatWpWz0+dOhXq1q0Lbm5ucOjQIRgwYACEh4fDkCFDVGt/SsDaR506dYICBQpA7ty54ebNmzBmzBh48OABbN++3WzX1rkmvZbeUONc+vDhA0ybNg369Olj9Xx6PZc+fPgARqPR5u98//59m59J6LywHIOk5xJ6T3qDpZ/iMmbMGMidO7fVzblRo0bwzTffQKFCheDRo0fwww8/QOPGjeHcuXPg4OCg6jEkNyx95OvrC6tWrYKyZctCSEgIzJkzB6pVqwZ37tyBvHnzinPJBhcvXoTbt2/DypUrrZ7/nM4lFhIal0JDQyEqKgo+fvzIfQ2rwX9WHI8dOxZmzZqV6Hvu3bsHxYsXT6EWpU3s7SdeoqKi4K+//oIJEybEe83yuQoVKkBERATMnj07zQia5O4jS4FXpkwZyJUrF9SrVw8ePXoEhQsXZrab0qTUuRQaGgpNmzaFkiVLwuTJk61eS+vnkiB1mTlzJmzatAlOnDhhteGsQ4cO5v+XKVMGypYtC4ULF4YTJ05AvXr1UqOpKUrVqlWhatWq5r+rVasGJUqUgGXLlsG0adNSsWVpl5UrV0KZMmWgSpUqVs//18+l9MJ/VhyPGDECunfvnuh7fHx8mGx7e3sDAMDbt28hV65c5uffvn0L5cuXN7/n3bt3Vp8zGAwQHBxs/nxawN5+4j2erVu3QmRkJHTt2jXJ9/r5+cG0adMgJiYmTdRmT6k+kvDz8wMAgICAAChcuDB4e3vH28n79u1bAID/3LkUFhYGjRo1gkyZMsGOHTvAyckp0fentXMpIbJlywYODg7m31Xi7du3CfaJt7d3ou+3Z5xKb7D0k8ScOXNg5syZcOTIEShbtmyi7/Xx8YFs2bJBQEBAuhM0PH0k4eTkBBUqVICAgAAAEOdSXCIiImDTpk0wderUJL8nPZ9LLCQ0Lnl4eICrqys4ODhwn5+qkGLRzZ8BSjfkzZkzx/xcSEiIzQ15ly9fNr/n4MGD6X5DHuvx+Pv7x8sskBDTp0/HzJkzM7c1tVDrNz9z5gwCAN64cQMR5Q15ljt5ly1bhh4eHhgdHa3eAaQQrP0UEhKCX375Jfr7+2NERIRd35WezqUqVargoEGDzH8bjUbMkydPohvymjVrZvVc1apV423IS2ycSo8o7SdExFmzZqGHhweeO3fOru948eIFajQa3LVrF3d7UwOWPrLEYDCgr68vfv/994gozqW4rF69Gp2dnfHDhw9Jfkd6P5csATs35JUuXdrquY4dO8bbkMdzfqqBEMd28OzZM7x27Zo5zdi1a9fw2rVrVunGfH19cfv27ea/Z86ciV5eXrhr1y68efMmtmjRwmYqtwoVKuCFCxfwzJkzWLRo0XSfyi2x43n58iX6+vrihQsXrD738OFD1Gg0uH///ng2d+/ejX/88QfeunULHz58iEuXLkU3NzecOHFish9PcqC0jwICAnDq1Kl4+fJlfPLkCe7atQt9fHywVq1a5s9IqdwaNmyI169fxwMHDmD27NnTfSo3Jf0UEhKCfn5+WKZMGQwICLBKk2QwGBAx/Z9LmzZtQmdnZ1yzZg3evXsX+/Tpg15eXuYsJV26dMGxY8ea33/27Fl0dHTEOXPm4L1793DSpEk2U7klNU6lN5T208yZMzFDhgy4detWq/NGGt/DwsJw5MiReO7cOXzy5AkeOXIEK1asiEWLFk2Xk09E5X00ZcoUPHjwID569AivXLmCHTp0QBcXF7xz5475PeJckqlRowa2b98+3vOf47kUFhZm1kQAgHPnzsVr167hs2fPEBFx7Nix2KVLF/P7pVRuo0aNwnv37uGSJUtspnJLrN9TAiGO7aBbt24IAPEex48fN78HYvOnSphMJpwwYQLmzJkTnZ2dsV69evjgwQMru0FBQdixY0d0d3dHDw8P7NGjh5XgTm8kdTxPnjyJ12+IiOPGjcN8+fKh0WiMZ3P//v1Yvnx5dHd3x4wZM2K5cuXw999/t/ne9IDSPnr+/DnWqlULs2TJgs7OzlikSBEcNWqUVZ5jRMSnT59i48aN0dXVFbNly4YjRoywSmGW3lDaT8ePH7d5jQIAPnnyBBE/j3Np0aJFmD9/fsyQIQNWqVIFz58/b37N398fu3XrZvX+zZs3Y7FixTBDhgxYqlQp/N///mf1uj3jVHpEST8VKFDA5nkzadIkRESMjIzEhg0bYvbs2dHJyQkLFCiAvXv3TtEbdXKgpI+GDRtmfm/OnDmxSZMmePXqVSt74lwi7t+/jwCAhw4dimfrczyXEhp7pX7p1q0b+vv7x/tM+fLlMUOGDOjj42OlnSQS6/eUQIOYDvIYCQQCgUAgEAgEKYDIcywQCAQCgUAgEMQixLFAIBAIBAKBQBCLEMcCgUAgEAgEAkEsQhwLBAKBQCAQCASxCHEsEAgEAoFAIBDEIsSxQCAQCAQCgUAQixDHAoFAIBAIBAJBLEIcCwQCgUAgEAgEsQhxLBAIBAKBQCAQxCLEsUAgEAgEAoFAEIsQxwKBQCAQCAQCQSxCHAsEAoEAAADev38P3t7eMGPGDPNz//zzD2TIkAGOHj2aii0TCASClEODiJjajRAIBAJB2mDfvn3QsmVL+Oeff8DX1xfKly8PLVq0gLlz56Z20wQCgSBFEOJYIBAIBFYMHDgQjhw5ApUqVYJbt27BpUuXwNnZObWbJRAIBCmCEMcCgUAgsCIqKgpKly4NL168gCtXrkCZMmVSu0kCgUCQYoiYY4FAIBBY8ejRI3j9+jWYTCZ4+vRpajdHIBAIUhThORYIBAKBGZ1OB1WqVIHy5cuDr68vzJ8/H27dugU5cuRI7aYJBAJBiiDEsUAgEAjMjBo1CrZu3Qo3btwAd3d38Pf3B09PT9i7d29qN00gEAhSBBFWIRAIBAIAADhx4gTMnz8f1q9fDx4eHqDVamH9+vVw+vRp+O2331K7eQKBQJAiCM+xQCAQCAQCgUAQi/AcCwQCgUAgEAgEsQhxLBAIBAKBQCAQxCLEsUAgEAgEAoFAEIsQxwKBQCAQCAQCQSxCHAsEAoFAIBAIBLEIcSwQCAQCgUAgEMQixLFAIBAIBAKBQBCLEMcCgUAgEAgEAkEsQhwLBAKBQCAQCASxCHEsEAgEAoFAIBDEIsSxQCAQCAQCgUAQy/8BU9TkVEYw4yoAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(8, 6))\n", "\n", "lw = jnp.sqrt(U**2 + V**2) / jnp.sqrt(U**2 + V**2).max()\n", "ax.streamplot(X, Y, U, V, color=np.asarray(lw), cmap=\"autumn\")\n", "ax.plot(fixed_point[0], fixed_point[1], \"ro\", label=\"Equilibrium Point\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.set_title(\"System Phase Portrait\")\n", "ax.legend()\n", "ax.grid(True)\n", "\n", "# cs = ax.contourf(X, Y, jnp.all(jnp.real(EIG) < 0, axis=2))\n", "\n", "# # # Extract colormap and normalizer\n", "# cmap = cs.cmap\n", "# norm = cs.norm\n", "\n", "# # # Get color for each level (using midpoint of each range)\n", "# colors = [cmap(norm((cs.levels[i] + cs.levels[i+1]) / 2)) for i in range(len(cs.levels)-1)]\n", "\n", "# legend_patches = [Patch(facecolor=colors[0], label=\"real(EIG)>=0\"), Patch(facecolor=colors[1], label=\"real(EIG)<0\")]\n", "# ax.legend(handles=legend_patches, loc='upper right', title='Region')\n", "# cbar = fig.colorbar(cs)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 49, "id": "d26bc778", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "System is unstable in 20.5% of the state space.\n", "Conclusion: The system is LOCALLY UNSTABLE but may have stable regions.\n" ] } ], "source": [ "# 1. Define a grid of states from -100 to 100\n", "x_vals = jnp.linspace(0, 1, 50)\n", "y_vals = jnp.linspace(0, 1, 50)\n", "X, Y = jnp.meshgrid(x_vals, y_vals)\n", "grid_states = jnp.stack([X.flatten(), Y.flatten()], axis=1)\n", "\n", "\n", "# 2. Function to get the Max Real Eigenvalue at any state\n", "def get_stability_at_state(state):\n", " # Calculate Jacobian at THIS specific state, not just equilibrium\n", " J = jax.jacobian(system, argnums=0)(state, params)\n", " return jnp.max(jnp.real(jnp.linalg.eigvals(J)))\n", "\n", "\n", "def check_divergence(state, params):\n", " # Get Jacobian at an arbitrary state\n", " J = jax.jacobian(system, argnums=0)(state, params)\n", " return jnp.trace(J) # Divergence = sum of diagonal elements\n", "\n", "\n", "def lyapunov_derivative(state, eq_point, params):\n", " # 1. Calculate the velocity (f and g)\n", " vel = system(state, params)\n", "\n", " # 2. Gradient of V = 0.5 * (dist^2) is simply the distance vector\n", " grad_V = state - eq_point\n", "\n", " # 3. V_dot = grad_V · velocity (Dot product)\n", " return jnp.dot(grad_V, vel)\n", "\n", "\n", "# 3. Map this over the entire grid\n", "global_stability_map = jax.vmap(get_stability_at_state)(grid_states)\n", "divs = jax.vmap(lambda s: check_divergence(s, params))(grid_states)\n", "\n", "sol = optx.root_find(\n", " system, solver, jnp.asarray([0.6, 0.3]), args=params, max_steps=100000, throw=False\n", ")\n", "fixed_point1 = sol.value\n", "\n", "sol = optx.root_find(\n", " system, solver, jnp.asarray([0.3, 0.6]), args=params, max_steps=100000, throw=False\n", ")\n", "fixed_point2 = sol.value\n", "\n", "v_dot1 = jax.vmap(lambda s: lyapunov_derivative(s, fixed_point1, params))(grid_states)\n", "v_dot2 = jax.vmap(lambda s: lyapunov_derivative(s, fixed_point2, params))(grid_states)\n", "\n", "# 4. Check for \"Global Instability\"\n", "percentage_unstable = jnp.mean(global_stability_map > 0) * 100\n", "print(f\"System is unstable in {percentage_unstable:.1f}% of the state space.\")\n", "\n", "if percentage_unstable == 100:\n", " print(\"Conclusion: The system is GLOBALLY UNSTABLE.\")\n", "elif percentage_unstable > 0:\n", " print(\"Conclusion: The system is LOCALLY UNSTABLE but may have stable regions.\")" ] }, { "cell_type": "code", "execution_count": 37, "id": "6f1a4b3e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "\n", "cs = ax[0].contourf(X, Y, v_dot1.reshape(X.shape))\n", "cbar = fig.colorbar(cs)\n", "ax[0].plot(fixed_point1[0], fixed_point1[1], \"r.\")\n", "\n", "cs = ax[1].contourf(X, Y, v_dot2.reshape(X.shape))\n", "cbar = fig.colorbar(cs)\n", "ax[1].plot(fixed_point2[1], fixed_point2[1], \"r.\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "fe176393", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "felice", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }