{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "0d72e622-37c4-45b7-bda8-e9d34535a406", "metadata": { "execution": { "iopub.execute_input": "2024-11-23T11:43:37.514334Z", "iopub.status.busy": "2024-11-23T11:43:37.513581Z", "iopub.status.idle": "2024-11-23T11:43:57.837601Z", "shell.execute_reply": "2024-11-23T11:43:57.836133Z", "shell.execute_reply.started": "2024-11-23T11:43:37.514230Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Matplotlib is building the font cache; this may take a moment.\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import agama" ] }, { "cell_type": "code", "execution_count": 2, "id": "aa01de61-6847-48fb-ab54-076862681976", "metadata": { "execution": { "iopub.execute_input": "2024-11-23T11:43:59.592785Z", "iopub.status.busy": "2024-11-23T11:43:59.591106Z", "iopub.status.idle": "2024-11-23T11:43:59.600110Z", "shell.execute_reply": "2024-11-23T11:43:59.598382Z", "shell.execute_reply.started": "2024-11-23T11:43:59.592702Z" } }, "outputs": [], "source": [ "# Set the default font size for all text in the plot\n", "plt.rcParams.update({'font.size': 16})" ] }, { "cell_type": "code", "execution_count": 3, "id": "2185a8e8-5b7b-41e3-bcab-ea312a69b838", "metadata": { "execution": { "iopub.execute_input": "2024-11-23T11:44:00.642765Z", "iopub.status.busy": "2024-11-23T11:44:00.641490Z", "iopub.status.idle": "2024-11-23T11:44:43.785619Z", "shell.execute_reply": "2024-11-23T11:44:43.784760Z", "shell.execute_reply.started": "2024-11-23T11:44:00.642703Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "20000 orbits complete (463.8 orbits/s)\n" ] } ], "source": [ "# Set up the logarithmic potential\n", "v0 = 1.0 # Circular velocity\n", "log_potential = dict(type='Logarithmic', v0=v0, axisRatioY=1.0, axisRatioZ=1.0, scaleRadius=0.0)\n", "potential = agama.Potential(log_potential)\n", "\n", "# Number of snapshots for plotting\n", "nt = 1000\n", "\n", "# Number of particles\n", "N = 20000\n", "\n", "# Fraction of Tcirc to integrate\n", "fracT = 30\n", "\n", "# Radial and velocity ranges\n", "r0 = 1.0 # Starting radius\n", "dr = 0.3 # Radial thickness\n", "dv = 0.3 # Velocity thickness\n", "\n", "# Initialize positions along x-axis (y = 0, z = 0), directed radially inward\n", "x_i = r0 + dr * np.random.rand(N) # x in [r0, r0 + dr]\n", "y_i = np.zeros(N)\n", "z_i = np.zeros(N)\n", "positions = np.column_stack((x_i, y_i, z_i))\n", "\n", "# Initialize velocities directed toward the center along x-axis\n", "v_i = -(v0 + dv * np.random.rand(N)) # Negative to indicate inward motion\n", "vx_i = v_i\n", "vy_i = np.zeros(N) + 1e-32 # To avoid passing through 0,0\n", "vz_i = np.zeros(N) + 1e-32\n", "velocities = np.column_stack((vx_i, vy_i, vz_i))\n", "\n", "# Combine positions and velocities into initial conditions\n", "ic = np.hstack((positions, velocities))\n", "\n", "# Compute the circular period at radius r0\n", "T_circ = 2 * np.pi * r0 / v0\n", "\n", "# Number of time steps for orbit integration nsteps > nt\n", "nsteps = nt + 1\n", "\n", "# Integrate the orbits\n", "orbits = agama.orbit(\n", " potential=potential,\n", " ic=ic,\n", " time=fracT * T_circ,\n", " trajsize=nsteps\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "id": "1b6c0eeb-e1a9-494a-abdb-65f309ee425a", "metadata": { "execution": { "iopub.execute_input": "2024-11-23T11:44:47.150136Z", "iopub.status.busy": "2024-11-23T11:44:47.148477Z", "iopub.status.idle": "2024-11-23T11:44:57.735212Z", "shell.execute_reply": "2024-11-23T11:44:57.733517Z", "shell.execute_reply.started": "2024-11-23T11:44:47.150092Z" } }, "outputs": [], "source": [ "# Adjust ntimes to ensure it does not exceed nsteps\n", "ntimes = min(nt + 1, nsteps)\n", "indices = np.linspace(0, nsteps - 1, ntimes).astype(int)\n", "\n", "# Initialize arrays to store positions and velocities at ntimes\n", "positions_nt = np.zeros((ntimes, N, 3))\n", "velocities_nt = np.zeros((ntimes, N, 3))\n", "\n", "# Extract positions and velocities at desired times\n", "for i in range(N):\n", " trajectory = orbits[i][1] # Shape: (nsteps, 6)\n", " positions = trajectory[:, :3]\n", " velocities = trajectory[:, 3:]\n", " positions_nt[:, i, :] = positions[indices, :]\n", " velocities_nt[:, i, :] = velocities[indices, :]\n", "\n", "# Extract x positions and vx velocities\n", "x_nt = positions_nt[:, :, 0]\n", "vx_nt = velocities_nt[:, :, 0]\n", "\n", "# Define consistent axis limits for vx and x\n", "x_min, x_max = np.min(x_nt), np.max(x_nt)\n", "vx_min, vx_max = np.min(vx_nt), np.max(vx_nt)\n", "\n", "# Number of bins\n", "nx, nvx = 500, 500 # Fixed bin size for analysis\n", "\n", "# Compute the number of particles in each phase-space pixel at each snapshot\n", "particle_counts = []\n", "for t in range(ntimes):\n", " H, _, _ = np.histogram2d(x_nt[t], vx_nt[t], bins=[nx, nvx], range=[[x_min, x_max], [vx_min, vx_max]])\n", " particle_counts.append(H.flatten())\n", "\n", "# Convert particle counts to a numpy array\n", "particle_counts = np.array(particle_counts)\n", "\n", "# Compute the dispersion of the number of particles across all pixels at each time\n", "dispersion = np.std(particle_counts, axis=1)\n", "\n", "# Plot the dispersion over time\n", "times = np.linspace(0, fracT * T_circ, ntimes)" ] }, { "cell_type": "code", "execution_count": 5, "id": "51195b01-8546-438d-be20-a4b4c7c895b7", "metadata": { "execution": { "iopub.execute_input": "2024-11-23T11:44:57.737409Z", "iopub.status.busy": "2024-11-23T11:44:57.737107Z", "iopub.status.idle": "2024-11-23T11:45:00.052015Z", "shell.execute_reply": "2024-11-23T11:45:00.051194Z", "shell.execute_reply.started": "2024-11-23T11:44:57.737386Z" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABVsAAAKgCAYAAACFq60oAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOzdd3gU1f4/8PeSTklC7xBAQJp0RFFBlKuUK5arIopiuxZseFFB8YqCYr+A6FVRwWtFFKyIBQEVkCK99yKdAAktgSTn9we/2e/k5JwzZ1s25f16Hh6SnZlzPjM7OzvzztlZnxBCgIiIiIiIiIiIiIhCUibaBRARERERERERERGVBAxbiYiIiIiIiIiIiMKAYSsRERERERERERFRGDBsJSIiIiIiIiIiIgoDhq1EREREREREREREYcCwlYiIiIiIiIiIiCgMGLYSERERERERERERhQHDViIiIiIiIiIiIqIwYNhKREREREREREREFAYMW6nEmTRpEnw+X4F/ZcqUQWpqKtq1a4eHH34YmzZtUi4/cOBA+Hw+dOvWrXALJ7I0YsQI+Hw+pKWlRbuUsNq2bZv/9Tp79uxolxMy97FIVtLWtbB169YNPp8PAwcOjHYpRFTIdOd5qn9t2rQBUDyOuaGefzrLy//i4uJQtWpVdO3aFS+++CKOHDmiXD4tLQ0+nw8jRowIeh2IIqmkvvebzheLI9OxrDita0lZD4dT76RJk6JdSqnBsJVKDSEEMjIysHTpUvznP/9By5YtMXHixGiXRUSWSupJNhERUaTk5OTg4MGD+PXXX/HYY4+hRYsWWLx4cbTLIiJLDMnMisMf0yKlpA7AKSkYtlKJNn36dBw9ehRHjx5FRkYG1q9fj2effRYJCQnIzs7GnXfeiXnz5kW7TCIiIiIKkPs8T/Vv/vz50S4xKtzb4PDhw1i8eLH/D5W7d+/G3//+d2RmZka3SCIiohIsNtoFEEVSUlISypcv7/89OTkZjz/+OGrXro2BAwciNzcXzz33HL799tsoVklEwJmPMAohol1GoShN6xoJpW3kAhGpyed5OqXtmCtvk/bt2/s/zTVp0iTs3bsXb7/9NoYMGRKN8ojIZeDAgaXmU1vFaV0nTZpUokYTl6b3wKKCI1upVLr55pvRoEEDAMCsWbOQm5sb5YqIiIiIiCLHfT/Wn376KXqFEBERlXAMW6lU8vl8aNGiBQDgxIkTSE9P1867cuVK3HLLLahbty4SEhJQo0YNXH/99VixYoV2mdOnT+Obb77B3XffjU6dOqF27dqIj49H5cqVccEFF+CVV17B8ePHjTVu374dgwcPRqtWrVC+fHnEx8ejVq1aaNOmDf75z39i2rRp2mVzc3Pxv//9D71790bNmjX9fXfr1g1vvvkmTp8+7bGFvM2bNw833XQTGjZsiKSkJJQtWxb169fHeeedh6FDh2LRokUFlpG/fOHDDz9E165dUblyZZQtWxatWrXCs88+i5MnT2r7PXLkCN577z3069cPrVu3RtWqVZGQkICaNWuiT58++Oyzz6z+cpeVlYX//ve/uOyyy1CjRg0kJCSgevXq6NChAx599FEsWbJEu+zmzZvx0EMPoWXLlkhOTkZSUhLOOuss3HnnnVi7dq33xrOo7bnnnkOrVq1QtmxZVK5cGV27dsWHH34YUDuzZ8/GgAED0KBBAyQlJSE5ORlt2rTBk08+iUOHDmmXk+8N9cEHH+Ciiy5CpUqVkJSUhObNm+Pf//43jh07pm3j9OnTePPNN3HxxRejatWqiIuLQ6VKldC0aVP8/e9/x7hx43Dw4MF8y+juueTcj2jOnDkAgPfff7/AF4A4fyXv3r07fD4fOnfu7Ll9Ro4cCZ/Ph4SEhAK12MjNzcUbb7yBjh07onz58khNTUWnTp0wfvx4zz/g2Nxfavr06bj66qv9x54KFSqgYcOG6Nq1K55++mnlvuZ+7nJzczF+/Hh06tQJqampqFChAjp27GhVHxD8fi7fW/eHH37AlVdeidq1ayM2NrbAFw0EcyyxuX/v8ePH8eKLL+K8885DpUqVkJCQgNq1a+Paa6/FDz/8oF1Ofm5ycnLw2muvoVOnTkhJSUG5cuXQtm1bvPrqq2E5lhJR5Hkdc+Xzk2+//RaXX345qlWrhsTERDRq1AiDBw/GgQMHtH2E6/wkkurXr48KFSoAAHbu3GmcN1rbIJj3BEdGRgZGjx6N888/H1WqVEFCQgJq1aqFq6++2njctyWEwCeffIJevXr5z69TUlJw1llnoUePHnjxxRexY8eOfMvI+97Jkyfx7LPP4pxzzkGFChWQmpqKiy66CB999JGx723btuGll15Cr1690KxZMyQnJ6Ns2bJo2LAhbr75ZixYsMBqHfbt24d///vfOPfcc1G5cmUkJCSgXr166NatG15++WXjfhHseaWtXbt24d5770VaWhoSExNRq1YtXHPNNQHd8i3Ya6DZs2f7n6dt27bhxIkT/uepfPnySE5OxnnnnYf33nvPuA8fPHgQTz75JNq3b4+UlBTExcWhevXqaNmyJW6++WZ8+OGHyMnJybeM7suWnHMdx6233lrg/HfSpEk4fvw4kpOT4fP5MHToUM9tdMkll8Dn86Fdu3ae86ocOXIEQ4cORZMmTZCYmIjq1avj8ssvx3fffee5rNcXSwV6/ZCWluYfQAUAF198cYFt5D7mB3KOGsiXFu7YsQODBg1Cw4YNkZiYiGrVquGaa64x3srGtn3VOa+zvz799NMAzuQG8nrL93G1uffvjh078PDDD6NFixaoUKECypYti8aNG+Puu+/GunXrtMvJz2t6ejqGDh2Kpk2bIikpCRUrVsQll1yCr776yriuJY4gKmEmTpwoAAgAYtasWdr5+vTp459v//79/sdvueUWAUB07dpVTJ48WSQmJvrnc/9LTEwUv/zyi7LtMWPGKJdx/2vatKnYtm2bcvnZs2eLcuXKGZcvV66cctmdO3eKdu3aGZft2LGj2Ldvn/1Glbz00kue69e7d+8Cy9WvX18AEE899ZR/O6v+tWjRQlvflVde6dn3FVdcIbKzs7X1L1u2TKSlpRnbqF+/vnLZsWPHiri4OO1ysbGx4u233w5quwohxP79+0WrVq207d9yyy3iqaeeMtaYlZUlBgwYYFy/atWqiQULFiiXd+Z55513xLXXXqtto127duL48eMFlj969Kjo3Lmz5/M0ZcqUfMtt3bpV+dp11tf075ZbbhFCCPHRRx/5H1u9erV2O+fl5YmGDRsKAOIf//iH+UlROH78uLj44ou19Vx66aXi7bff9v8u062r47777vNc50GDBhVYzpn29ttvi0svvVS7bNeuXcWxY8e06xfKft61a1f/czJ06FBl345gjyXuPlRWr14t6tWrZ2x3wIAB4tSpUwWWdT833377rbjwwgu1bfTs2VPk5uZqtyMRhZ/teZ6b1zHXfX7y8MMPa1/zaWlpYvfu3co+Qj0/cZ9/BsN9XmVSoUIFAUA0b968yG2DYN8ThBBizpw5okqVKsZlb7/9dpGTk2OxNQvKyckRffv29azvpZdeyrece9+bNm2aOOecc7TL9uvXT1tfamqqsV+fzyeee+454zp88sknomzZssZ2VO+roZ5X2pg/f75ISUlRth0TEyMmTJjg+d4fyjXQrFmz/PPMnz9fNG/eXNvGXXfdpex/9erVolq1ap77yIEDB/It5z6muTnra/o3ceJEIYQQd955pwAgatasadzHt23bJnw+nwAgxo8fb3hG1DZu3Cjq1Kmjreff//638VimW1chgrt+cI5bpn/uY34g56i267F48WJRqVIlZd9lypQR48aNU25L22O+ar9376+6f/J1orzPyKZMmaLNPZzXoW6fcW+PNWvWiNq1a2vbGT16tHF9SxKGrVTi2J6EN2rUSAAQSUlJ+d6UnANf7dq1RWJiojj//PPF9OnTxb59+8Tu3bvFu+++K5KTk/0HMdUb2n//+1/Rs2dP8dZbb4nff/9dbN26VRw4cEAsX75cvPzyy/4DUOfOnQssm5ub6w8JqlSpIv773/+K9evXi/T0dLFhwwbxyy+/iGHDhokWLVoUWDYzM1M0btxYABApKSli9OjRYuXKleLQoUNiy5YtYty4cf6TtYsuuiiokGD9+vUiJiZGABBt27YVU6dOFVu3bhUHDx4UK1euFF9//bW47bbbRP/+/Qss67whNmjQQAAQ1113nVi4cKE4ePCgWL58ubjnnnv8z90FF1wg8vLyCrRx2223iQEDBojJkyeLRYsWiV27doldu3aJP/74QwwePFgkJSUJAGLo0KHK+rds2SIqVqwoAIiEhATxyCOPiMWLF4uDBw+K3bt3i5kzZ4ohQ4aIjh07Flj2v//9r7++Hj16iG+//Vbs3r1bHDx4UPz666+id+/eAjhzwvvjjz8GvG3z8vJEt27d/H3cfffdYvny5eLgwYNiwYIF/uDT2X66sPX666/3v8HfddddYt68eeLAgQNiz5494vPPP/efQFatWlV5weT036hRI1GmTBnx8MMPi2XLlon09HSxevVqcfvtt/vneeKJJwosP3z48HzrsGDBArFnzx7/8/T222+Lrl27ii+++CLfcrqL4ezsbHH06FFxwQUXCADixhtvFEePHs33LysrSwhx5oLAOeH517/+pd3W7pOU6dOnWzw7+d18883+5a+55hqxYMGCAvux8zypTihNF/4///yzf1r37t3FjBkzxPbt28X+/fvF0qVLxZQpU8R1110nHnnkkQLtOss5fQ8aNEisWLGiwD4EQPkaFSL0/dw5KXSOc7179xZz5swRBw4cENu3b/cvE8qxxHTBlZ6e7u87Pj5ePPXUU2L9+vX++i+//HL/+t1///3G56ZRo0YiKSlJPPPMM2Lt2rXi0KFDYsmSJeKKK67wzzNhwgTldiSiyIhk2OqcGw4cOFD88ccfIj09XWzatEkMGzbMH1DceOONyj5CPT8pjLB1x44d+Y7vRWkbhPKesHTpUn9I0KRJEzFx4kSxZcsWcejQIbFixQrx8MMPizJlyggAYvjw4QFu2TPeeecd/7b7xz/+IebMmSP++usvsXfvXrF48WLxwQcfiN69e4sxY8bkW8697zVo0EDExcWJ4cOHi3Xr1omDBw+K2bNni+7du/vnefzxx5X9t2vXTgwePFh89913YsWKFeLAgQNi69at4ocffhDXXHONf/nvv/9eufzUqVP989SsWVOMHTtWrFu3Thw6dEhs3bpVTJ06VQwYMEAZJIZ6Xull//79/qC8bNmy4sUXXxRbtmwR+/fvF9OnTxdt2rQR8fHx/vd21Xt/qNdA7vPCRo0aiUqVKomxY8eKTZs2ifT0dPH777+L888/3z/PTz/9VKAG5zw1KSlJvPjii2L16tXi4MGDYsuWLWLOnDni2WefFc2aNbMOW0+cOCGOHj3qn/bmm28WOP89ffq0EEKIBQsW+Of75ptvtNvaGcCQmJgoDh06ZPsUCSGEOHnypGjatKkAzvzR/fHHH1fux86AlkDD1mCuH44fPy5Wr16d75xe3kbua3Xbc1Qh7MPWBg0aiGrVqol33nlH7Ny5U+zdu1dMnjw533WA6nw5lLA1JydHHD16VAwbNkwAEPXq1Suw3vKAGKcWVdg6d+5c//G3Zs2a4r333vOvyxdffCGaNGniX16+fpO3R6NGjUTdunXFe++9J7Zv3y4OHjwoZsyYIZo1ayaAM6Ht2rVrjetcUjBspRLH5iT8448/9s9z2WWX5ZvmPlnt0aOHcuTTZ5995p9nxowZAde4a9cu/xu+PDp2xYoV/ra//PLLgNp98MEHBQBRsWJF7UFs2bJlIiEhQQAFRxbaGDdunP9AefDgwYCWdf/18dZbb1XO436j/fTTTwOub/r06QKAKF++vMjMzCww/bLLLhMARFxcnJg9e7a2HefkxbFnzx7/ify9996rXe6GG24QAETLli0Drv2LL77wr/uwYcOU87hHFqjC1mnTpvmnT548WdlGRkaG/03TNDoSgJg0aZKyjV69evnfkGXOqIIrr7zSsLYFeV0Me41ocDzwwAMCgKhevXqB59HhhKV16tQJ+I8Oixcv9td5ww03KOdx78eqE0rTujojiqpVq2Ycoa3i7nPEiBHKedz70B9//JFvWjj2c/dIjOuvv175RxMhQjuWmPaFhx56yHhCmJubm2/01cqVK/NNdz83MTExYubMmQXayMnJ8Y9OUv3RjIgix32ep7qwdv65R+/bhq2mY+e9994rgDN/xFGdX3jxOj8pjLD1n//8p38eeXRRtLdBKO8Jbdq0EcCZUYu6T228+eab/tp37doVcO1XX321AM4Ewbr3NRX3vqc7rzp9+rT/0zKxsbFi586dAdf36KOPCuBMkCg7duyYqFy5sj8YMq2/fN4UjvNKL/fff7/xuiozMzPfSFPVe3+o10DusLVcuXLKT0dlZmaK6tWrC+DMKGS3jIwM//Jy4O7FFEAK4T0i0eGcl1x99dXK6Xl5ef4gVHf+avLKK6/4a3nrrbcKTHfvx7pjmWldI3X94GZ7jiqEfdhatmxZsWbNmgLz7Nq1y7+/nH322QG1r6pZtd97fdrRzbQftW3bVgAQqampYvPmzQWmHzx40B8e16xZs0A+4t4eNWvWVP7RZceOHf5rDN0fHUsahq1U4ujC1ry8PLF7924xbtw4/0f0fT5fgYOy+2RV92adk5PjD0ufeeaZoOp0RpjJodqSJUv8/S9evNi6vWPHjvnX68UXXzTOO3DgwKDezIQQ4tVXXxUARHJycsAhlXMin5CQINLT05XzZGdnixo1agig4KgLW1WrVhUAxA8//JDv8XXr1vm37aOPPhpQm86bWeXKlcXJkye1823bts3fx7JlywLqwxkxWLVqVf9ITdmBAwdEfHy89o3VeUPu1auXsa9JkyYJAKJSpUoFTjSc+k0h0ueff+6fb8eOHfmmOSd79913n7EGWbjC1pUrV/rbUf3BIjMz0/9aCWaEy6BBgwRwJrDfu3evch73fqw6oTStqxMWBxPYO23WqlVL+YciIfLvQ3feeWe+aeHYz53nKSYmxnhBF8qxRLcvuI/Nl19+uXb5v/76S8TGxgoA4oEHHsg3zf3cyBdTbi+//LL/wl0X6hNR+LnP80z/UlJS/MvYhq116tTRvp7df2j79ddfg6pdd34iROTC1tOnT4t169blC7QqV65c4Dws2tsg2PcEd0i2cOFC7Xzu2wcFGoYJIfyfaOjTp09Ay7n3PdWnphzuwRbPPvtswPU5o/tiYmIKjGhzgmYg8E/zhOO80iQnJ8d/+4C///3v2vm+/vpr/zrI7/3huAZy70emIMi5zVPDhg3zPX7o0CH/8p9//rmxBlm4wlbnDxZxcXH5bpHnmDlzpr+tn3/+OaAahRCiRYsWAoA455xztPO49+NAw9ZIXT+42Z6jCmEftqo+aeZwnhMAYu7cudbtq2qOVNjqPq4///zz2uU//fRT/3xTp07NN829Pd58801tG85tHLt37+5Zb0nAL8iiEs19k+wyZcqgVq1aeOCBB3D8+HHExsbitdde096UukGDBjj77LOV02JiYtC4cWMAwN69e5XznDhxAq+//jouu+wy1KpVC4mJifluWj1lyhQAwPr16/Mt17RpUyQmJgIAHnjgAaxatcpqXefNm+f/0q3u3bvj2LFj2n/nnHMOAGDx4sVWbbu1adMGAJCZmYm7774b+/btC7iNbt26oVKlSspp8fHx+Pvf/w4AmD9/PvLy8grM89dff+HJJ5/E+eefj8qVKyMuLi7ftnW+vEHetjNnzvT/bPpiHRXnW3u7du2KnJwc7batXLkyqlSpAiCw7SuEwNy5cwEAvXr1QkJCgnK+KlWqoGvXrsppJ06c8H+JQI8ePYz7gPMFcYcOHcKWLVuU7fXs2VNbb7Nmzfw/y68BZx+ZOHEiJk+eXOhfItSyZUt06tQJAPDee+8VmD558mQcP34cPp8Pt956a8Dt//777wCA888/H9WrV1fO496PA+Vsv1WrVuGpp55CRkZGwG38/e9/R1xcnHKaex9y1sURzv28TZs2qFWrlrbGcBxLZCtXrsSRI0cAANdee612vtq1a6NLly4AgN9++007n81r4NSpUzh8+HAQ1RJRUdOjRw/ExsYqp5ne9xzBnp+Em7vPuLg4nH322XjttdcAnHkP+Oqrr7TnYdHaBsG+JzjvW1WrVkWzZs2071vHjx9H69atAYR2/vv999/j9ddfN36Zq87VV1+tndaqVSv/tYX83uxYvHgx7r77bpxzzjlISUlBTEyMf7s653W5ubnYvHlzvuWc81/ni4xshfu8UmXlypX+8xzT9unZsyfKli2rnBbuayCb9355/69YsSLq1asHABg+fLjxi5Ei5aabbkJiYiJOnz6t/FJd55w4LS0N3bt3D6jtw4cPY82aNQCAq666Sjufez8OVGFeP3idowbCtN9ec801/p91r+toc58Hm86dr7zySsTHxxdYRhbM66ekYthKpUpMTAwaNWqEO+64A3/++ScGDRqkndfrAOy84Z84caLAtI0bN6Jly5a477778OOPP2LPnj3Izs5WtiMHKWXLlsWoUaMAnDl5aNWqFZo0aYI77rgD7733Hv766y9lO+6T1g4dOqBChQrafw8//DAA5PtGWVOw4q794osv9odIEyZMQK1atXDuuedi8ODBmDZtGo4ePWrcbkD+k3WV5s2bAwCOHTtW4Fviv/rqKzRr1gyjRo3C/PnzcejQoQLf6umQt61z8pmQkKAN0nWc7Tt16lTjtq1QoYK/ZtM39qpqdUIi2+0j27Jli//EZPDgwcYaO3bs6F9OV6fpNeA+4ZVfAyNGjEBycjKOHz+Ofv36oWrVqrjiiiswevRoLFiwoFC+jfnOO+8EAEyfPr3ABdvEiRMBnAn9GzZsGHDb27ZtAxD88+Tlpptu8n9D7DPPPINq1arhoosuwrBhw/D9998jKyvLsw3b2px1cYRzP/fatuE4lsi2b9/u/9m58NNxpsvbwC3Y1wARFY5Zs2ZBnPmkXoF/zntqIEJ5zYdyfhJpCQkJaNu2LYYPH45Vq1b5/9ikEq1tEOx7gvO+deDAAc/3rWnTpvnndWRnZ2vPf921Dx48GHXr1kVubi7uu+8+VKlSBX/7298wYsQIzJ49W7uebsG+NwNnArxOnTrhrbfewsqVK5GZmakckADoz39bt26t/RZ4lXCfV6q419W0fWJjY7UhXqjXQDKb14Bq/3/llVfg8/mwbt06nH/++ahXrx5uuukmvPHGG9i4caO2zXCpWLGiP9xzznUdmZmZmDp1KgDg1ltvDWg/AM6cXznn75E6/y3M64dgzv91TNujVq1aSElJAWA+34wm59w5MTHRuF0SEhJw1llnAQj93Lm0nDczbKUSbfr06Th69CiOHj2K48ePIycnB5s2bcKECRP8f9nU0f1VXyYf+HNzc3H11Vdj69atKFeuHJ544gnMmTMHO3bswKFDh/z13HDDDQCgPDn717/+hc8//xznnnsugDPh7bvvvovbb78d9erVQ69evQqMCAjmxN0don744YfaE5O77ror33Kff/45XnjhBTRo0AB5eXlYuHAhxowZg6uvvhrVqlXDoEGDkJmZqe23fPnyxrrc090n19u2bUO/fv1w7NgxpKWlYdy4cVi8eDH27NmDjIwM/7atU6cOgILb1qmpfPnyAZ9kBLN9bUIxx7Fjx/w/B7J93IK9eNPVGexroEGDBliyZAkGDBiAsmXLIiMjA9988w0ef/xxdO7cGQ0bNlT+xT2c+vXrh/LlyyMnJwcffPCB//H169f7R2ncfvvtQbXtPFfBPk9e4uLiMHv2bDz++OOoUaMGTp06hd9++w3PP/88evXqherVq+PJJ5/EqVOngu7bmX7y5Enk5ub6Hw/nfq4bgeIW6rFE5j5eeG2DChUqFFhGFuxrgIiKp2Bf86Gen4Sb09/Ro0dx8uRJZGVlYcmSJRg5cqT2ExmOaG6DYN4TQn3fuuuuu7Tnv+5zldTUVCxatAiDBg1CamoqTpw4gZ9++glPP/00Lr74YtSuXRtjxowxvh/YvjfL70uTJ0/Gs88+CyEELrzwQnz00UdYvXo1Dhw4gMzMTBw9ehQrV670z687/3Xe92yF+7xSJVrnv7pBMID9a0D2j3/8AzNnzsQll1yCMmXKYOfOnfjoo48waNAgNGnSBBdccAEWLlwYVNu27rjjDgBnRgy7R+9+8sknOHnyJMqUKRPwp/uA8DxPXgrz+sHmHNVWsK/rosKpy+Z5C9e5c2k5b2bYSiVaUlISypcvj/Lly4f1oGoyZ84c/0f/P//8c4waNQoXXXQR6tati4oVK/rrcT7uonPNNdfgjz/+wL59+/Dll19iyJAhaNasGYQQ+P7773Heeedh69at/vndB8jDhw9rR3rI/4IRHx+PRx99FFu2bMGGDRvw/vvv4/bbb0f16tWRlZWFN954A927d9deTHitu/sN3X1i+N577yErKwvJycn4448/cP/996N9+/aoUaMGkpOT/dtWF84kJyf72w903Z3t++CDD1pv2xEjRgTcPhDY9tG1MW3aNOs6dbfSCEWjRo3wv//9D4cPH8bvv/+Ol156CZdffjliY2Oxbds2DBgwAGPGjAl7v47y5cvj+uuvB5D/r/vOzykpKcaP/Xi1DQT/PNmoUKECnn32WezevRsrV67E22+/jf79+yMlJQWZmZkYNWoUrrvuOu3ytrUlJSUhJibG/3ik93NZqMcSmft44bX9nemBXnwSEclCPT8JN6e/8uXL+29NFWnh2AbBvCc471utW7e2ft+aPXt2UOtYvXp1jB8/HgcPHsSiRYvw2muv4aqrrkJSUhL279+PwYMHY/Dgwdrlbd+b5fel119/HcCZ2xfNnj0b/fv3R/PmzVGlShVUqFAB5cuXN37k2jn/DTTsKYzzynCf/0b6GsjLxRdfjJ9//hnp6emYPn06hg8fjvbt2wMA5s6diwsvvBALFiyISN/AmU9tOSOA3bfScs5/L730Uv/tDgIRjufJRrSvH4IR7OvaduBPpP8459Rl87zx3DkwDFuJwmzZsmUAznyUw3RfJPdfoE2qVauGvn374qWXXsKaNWvw4Ycfwufz4fDhwxg7dqx/vkaNGvl/XrJkScB1Dxw4UHsyMmnSJO1yjRs3xs0334x33nkHO3fu9N+a4c8//8S3336rXGbt2rXGWpzp5cuX998XEvi/bdu9e3ftyIwdO3ZoT+Sdjz5kZ2dj3bp1xhpkzvYNZtvaSElJQWpqKgD77SNLS0tDmTJnDuuRqjNQ8fHx6NKlC4YMGYLvv/8emzdv9j8PI0eOzDeqMtycWwmsWbMGf/zxB3Jzc/2jXPv374+kpKSg2k1LSwMQ/PMUCJ/Ph5YtW+LOO+/ERx99hF27dvnvlfXVV1/5XxOB9u1Md9bFEen93CSYY4nMvT6rV682zuv8UUzeBkREgQr1/KQkCPc2sH1PcN631q9fH9RHUydNmqQ9/9WNAIyJiUGHDh1w3333YerUqdi5cyfOO+88AMD48eORnp6uXC7Y92Zn21533XX+8zyZ6brCOe9avnx5QCFjYZxXutfVtH1yc3O1H8UP9RooElJTU9GzZ0+MHDkSixcvxsyZM5GYmIhTp05h9OjREe3b+eTWJ598gqysLKxdu9Yf8Ab7qa769ev7w8HCOP+N5vVDoEzr64zsBwq+rp0/hHnd/3nXrl2hFejBqSsrK8t4v+Xs7Gz/a5DnznYYthKFmfOxFNObwNy5c/ONSg3EjTfe6L83jPvgftFFF/m/VEn1pUCFIS4uDk899ZT/d92bz+zZs7VfKHP69Gl88803AIDzzjsv30mlzbZ1f2Rcdumll/p/fv/997Xzqfztb38DcOY+upH4Ygufz+e/h9r06dO1HxFPT0/HnDlzlNNSUlL8t5748MMPC/2LqWzUq1cP//znPwGc+RKF/fv3Wy/rfOGT7QnWueeei1atWgE48xf9GTNmYPfu3QCCP9kEgAsuuADAmdexrn73fhxO5cqVw7Bhw/y/615j33zzjfYv4e59yFkXR6T3c1u2xxJZy5Yt/X+0+Pzzz7Xz7dq1y/+FdBdeeGHwhRIRIfTzk5IgktvA9J7gvG9lZWXh448/Dqr9UFWuXNk/ojU3NxcbNmxQzufcM1Zl9erV/uXk9+ZQt22PHj0AAPv27cMPP/ygnU9WGOeVrVq18t/T0rR9ZsyYoQ3Ti8I1kJfu3bv7v5Qq0DDS+Vi27fnvwIEDERsbiyNHjmDatGn+bVK5cmX07ds3oL4dFStW9N+L1XY/DifT9YP7C2GjEcKatodzn1yg4Ou6Zs2aAM7cLlB3/+V169YZ748a6LWRivs82HTu/OWXX/qvT3nubIdhK1GYOTeWzszMxKxZswpMz8zMxL333qtdfteuXcZh/CdOnMCePXsAnHnTdCQnJ/tH8n388ceeJ5xZWVn5vkzGlukNAUC+b0B11yf3/eijjyqnPffcc/71kwMxZ9vOnTtXOWpg1apVeP7557W1NW7cGL179wYA/Oc//zF+K6QcVA0aNAiJiYnIzc3FgAEDPEdmBDpyFgBuu+02AMD+/fsxcuRI5TxDhgwx3mfqX//6FwBg69ateOCBB4zPFRCZb0T2WndnH4mJifGfYNtwRjk7gakNZx/69NNP/R/DO+ecc/wf6QrGrbfeCuBMoDpkyBDlPO79OFBez4nNa2zXrl144YUXlNPc+5CzzzkKYz93hONYIouJifE/P99//z2+/vrrAvPk5eXhvvvu87/GneMmEVGwQj0/KQlC3QbBvif06NHD/z0Mjz32mOenGvbv36/9g7+J7bmNXJ/bggUL8NFHHxV4PCcnBw899BCAM8HazTffnG+6s22//vpr5cjU999/Hz///LO2tv79+6Nq1aoAzrzPm74JXD7/jfR5ZUxMjH99v/76a+V6HDt2DEOHDtW2UVjXQCYHDx7UjmgGzoRhTmhme07jCPT8t3r16ujTpw8A4O233/bf5/TGG2/0h9LBcM4Zly9fjnfffbfAdPd+HIxgrx8qVarkH3UbyDVCuIwfP1653+/du9f/pddnn302zj///HzTO3fuDODMrS++/PLLAsufPn0aDzzwgLFvZ984cOBA0LcbaNeuHdq2bQsAeP7555Xhbnp6un+wR82aNf37F3kQRCXMxIkTBQABQMyaNSvg5W+55RYBQHTt2tU4X9euXQUAccstt+R7/MiRIyIlJUUAENWrVxfvv/++2L59u9izZ4+YMmWKaNasmShTpoxo2rSpsp+JEyeKlJQUcfvtt4svvvhCbNy4URw6dEhs375dfPPNN+K8887zr9/XX3+db9mMjAzRrFkzAUD4fD5x0003iZ9//lns2bNHHDp0SGzevFl8/fXX4r777hNVq1YVL730UlDbJy0tTQwdOlT8+OOPYseOHeLQoUNi48aN4t133xW1a9cWAES5cuXE7t278y1bv359AUCkpaUJAKJfv35i0aJFIj09XaxYsUIMGjTIv24XXHCByMvLy7f8rFmz/NPbt28vfvzxR7Fv3z6xZcsWMWbMGFGxYkVRo0YNUalSJQFAPPXUUwXq37Ztm396YmKieOyxx8SSJUtEenq62Lt3r5gzZ44YOnSo6NSpU4FlJ0yY4O8/LS1NjB8/Xqxdu1YcPnxY7N27VyxcuFC89tprolu3bqJ8+fIBb9u8vDzRrVs3fx/33HOPWLFihUhPTxeLFi0S119/vQAgGjRoIACI+vXrK9u58cYb/W106dJFfPbZZ2Lbtm3i8OHDYufOneKXX34RI0aMEGeffbbo3bt3geWdZSdOnKitdevWrdrXmc/nE5dccol4/fXXxeLFi8W+ffvE/v37xZ9//ikGDx4sfD6fACCuvvpq6zaFEOLll18WAER8fLyYNm2ayMjIEKdPnxanT58Wubm5yjrT09NFQkKCv10AYuzYsdr1snXzzTf727v22mvFwoULC+zHzvOkeqs1rWvXrl1FixYtxMiRI8Xs2bPFrl27xKFDh8TatWvFmDFj/MeXWrVqiZMnT+Zb1r1/+nw+cf/994uVK1cW2IcAiP79+yvXLdT9XHdslIVyLDH1kZ6e7l82MTFRPPPMM2LDhg3i4MGD4rfffhOXX365f/3uv//+gJ4bN/fxaOvWrcZ1JaLwCeY8z+t17ZyfqM4b3HTvj+E4P7E9/9Rxlg/28i7a2yCU94Rly5aJcuXKCQCifPny4oknnhCLFi0SBw8eFAcOHBCrVq0SH3zwgbjuuutEQkKCWLRoUcDbJy0tTZx77rni5ZdfFvPmzRN79uwRBw8eFCtXrhTPPPOMiI+PFwBEu3bt8i3n3vfS0tJEXFyc+Pe//y02bNgg0tPTxa+//iouueQS/zyPP/54gb6feuop//R+/fqJxYsXi4MHD4rly5eLwYMHi5iYGNG8eXPjPv7111/7z79q1aolXnvtNbFhwwZx+PBhsX37dvHVV1+JgQMHirvuuqvAsqGeV3rZv3+/qFKliv/5ffnll8XWrVvFgQMHxPfffy/atWsn4uPj/fuA6r0/1Gsg2/d09/FHXj4pKUnccMMN4uOPPxZr164V6enp4q+//hIzZ84UvXr18i83btw4qzYdffr0EQBEo0aNxKJFi8SJEyf857/ytZLju+++y3fuC0AsX75cu142Tp486b9+jY2NFcOHDxfr168XBw8ezLcfO9d5qmOZaV2DvX4QQoiWLVsKAOLcc88Vq1evFllZWcptZHuOKoT5mOxej7S0NFG9enXx7rvvil27dom9e/eKKVOmiEaNGvnn+fHHHwu0kZOT499WqampYuLEiWLPnj1i3759Yvr06aJLly4iMTHRuN8vXrzY38dTTz0l9u3b51/vnJycfPOaru/mzp0rYmJiBABRu3ZtMWnSJLFr1y6xb98+MXXqVNGkSRP/8l988YVxe5g4xzLdNWxJw7CVSpxoh61CCPHJJ5/4D1jyvzJlyohx48Zp+3HXb/o3dOhQZV179+711+b1T36zD2T7mP4lJSWJadOmFVjWfSJ/0003aZdv0aKF2Lt3r7L/e++9V7tcxYoVxW+//eZ5wbB8+XL/m5vun+5N4N133xVJSUme26BSpUoBb1shzpxwOicMqn833XST5xvVqVOnxH333ec/KTH9U52wmN6MHaYLV5t9r02bNgWeY6+L4f3794uqVasq2zOdNN1www3++RISEsTBgwe189o6fvy4uPjii7Xr1717d/HWW29pTzy8wlav7Ve5cmUxb968Au0609966y1jfV27dhXHjh3Trl8o+3kgYWuwxxKvPlatWiXq1atnbHvAgAHi1KlTBZZl2EpUtBXFsFWI0M9PinvYKkRo2yCU9wQhhFiwYIHncR84E8QtW7Ys6O1j+peWlibWr1+fbzn3vjd16lTjOd71119fICAR4sw5R8eOHbXLtWjRQixYsMDzdfHJJ5+IsmXLGtdB9b4a6nmljfnz5/v/mCz/K1OmjHjrrbc83/tDuQYKR9hq0+9NN91U4Dn2Cqpmzpyp3fa6c/Xc3FxRp04d/3wdOnTQrlMgNmzYkK9d+d8TTzxhHVLKbLaf6vpBblf+5349RCJsXbhwoahYsaJ23zVdb8+ZM0d7vp2YmCimTJniWbN7oI77n3yd6LXPfPbZZyIxMVG7HWNiYsT48eOVyzJsVeNtBIgioF+/fpgzZw769OmDihUrIj4+HnXq1MF1112HX3/9Fffff7922euuuw7ffvstHnroIXTu3Bl169ZFQkICkpKS0KRJEwwcOBDz58/X3ly9evXqmD17Nr799lvccMMNSEtLQ1JSEuLi4lCtWjVccMEFGDFiBJYvX26sQ+eFF17ABx98gIEDB6JNmzaoXr06YmNjUaFCBbRt2xaPPPII1q1bhyuvvNLYzgcffICJEyeiS5cuqFixIpKSktCiRQuMHDkSixYt0n65wuuvv45Jkyahc+fOKFeuHJKSknDWWWfh/vvvx9KlSwvcD0flnHPOwdq1azFu3DhcfPHFqFKlCuLi4lCjRg106NABQ4cOxVdffaVc9rbbbsPWrVsxYsQInHfeeahcuTJiYmJQrlw5NG3aFP3798fkyZOD/nhS1apVsWjRIjz77LNo2bIlkpKSULFiRXTp0gUTJ060ut9ZXFwcXnvtNSxbtgyDBg1Cy5YtkZycjJiYGKSmpqJt27a47777MHPmTEyePDmoOk3+/PNPvPjii+jZsyeaNGmC5ORkxMXFoXr16vjb3/6GCRMmYOHChdrnWKdq1aqYP38+br31VjRo0MD6o1B33HGH/+e+ffsG/PEtlbJly+Knn37C+PHj0aFDB5QrVw4VKlRA+/bt8Z///Ac//PAD4uPjg2r7/fffx4QJE9CvXz+0atUKVapU8T935557Lp5++mmsX7/e/2UcKvHx8fjxxx/xn//8B+3bt0eFChVQrlw5tG/fHuPGjcPMmTNRrlw57fKR3s+B8B1LVFq0aIE1a9bghRdeQOfOnZGamoq4uDjUqlUL11xzDWbMmIH//e9/+e7zRUQUinCcnxR3oWyDUN8TOnXqhPXr1+PNN99Ez549UbNmTcTHxyMxMRH16tVDr169MH78ePz1119o3bp1wOv2ww8/YNy4cbjyyivRrFkzVKxYEbGxsahSpQouuugivPLKK1i1ahWaNGmibaNixYpYsGABRowYgRYtWqBcuXJITk7GBRdcgA8++ACffvopYmJiCixXtmxZzJ49G0899RTOPvtsJCQkICUlBW3btsWzzz6LhQsXolq1ap7r0K9fP2zatAnDhg1D27ZtkZKSgoSEBNSvXx/dunXDK6+8gmeffbbAcoVxXtm5c2esXr0a99xzD+rXr4/4+HjUqFEDV155JWbPnu2/X6dJpK+BTM4//3z8/PPPGDZsGC688EJ/3wkJCUhLS8P111+PGTNm4IMPPlA+xybdu3fHzz//jD59+qBGjRr+e7ialClTxn9bJaDgbaOC1bhxY6xcuRKPPvooGjdujISEBFSpUgU9evTAV1995f/YfDBCuX4YOHAgpkyZgksuucR/zlpYOnbsiCVLluCuu+5C/fr1kZCQgKpVq+Kqq67C77//btzXLrroIixcuBD9+vVD9erVERcXh9q1a+Omm27CokWL8I9//MOz/6+//hqPP/44WrVqhXLlyvlvqRCoa6+9FuvXr8dDDz2EZs2a5TuG//Of/8TKlSv9X1RIdnxCBPCVhEREIUhLS8P27dvx1FNPYcSIEdEuh0qJP/74wx9M/vDDD/4v0yiJnBOsiRMnar9FmYiIiArHtm3b0KBBAwDArFmz0K1bt+gWRKXG888/j2HDhiEpKQm7d+/2f4EoERUOjmwlIqISbeLEiQDOfJPppZdeGuVqiIiIiIgia9KkSQCAa665hkErURQwbCUiohLrwIED/m9h/ec//4kyZfi2R0REREQl13fffYf169cDAO6+++4oV0NUOnnf8IOIiKgYycvLQ15eHrZt24ZBgwbhxIkTqFChAk82iYiIiKhEys3NRU5ODv7880/cd999AM7cS7ZLly5RroyodGLYSkREJcptt92G999/P99jzz//fFi+GIuIiIiIqKhp1KhRvi8uTUhIwGuvvRbFiohKN36ekoiISqTExES0bt0a77//Pu69995ol0NEREREFFGpqano3r07Zs+ejXbt2kW7HKJSyyeEENEugoiIiIiIiIiIiKi4420EioC8vDzs3r0bFSpUgM/ni3Y5RERERFEhhMDRo0dRq1YtfqFdIeP5KBEREVF4zkcZthYBu3fvRt26daNdBhEREVGRsHPnTtSpUyfaZZQqPB8lIiIi+j+hnI8ybC0CKlSoAODME5mcnBzRvlavXo0WLVpEtI/SjNs3srh9I4vbN7K4fSOL2zeyCmv7ZmZmom7duv5zIyo8hXk+SkRERFRUheN8lGFrEeB8VCs5OTniJ7fly5fnCXQEcftGFrdvZHH7Rha3b2Rx+0ZWYW9ffoy98BXm+SgRERFRURfK+ShvhkVEREREREREREQUBgxbiYiIiIiIiIiIiMKAYSsRERERERERERFRGDBsJSIiIiIiIiIiIgoDhq1EREREREREREREYcCwlYiIiIiIiIiIiCgMGLYSERERERERERERhQHDViIiIiIiIiIiIqIwYNhKREREREREREREFAYMW4mIiIiIiIiIiIjCgGErERERERERERERURgwbCUiIiIiIiIiIiIKA4atRERERERERERERGHAsJWIiIiIiIiIiIgoDBi2EhEREREREREREYUBw1YiIiIiIiIiIiKiMGDYSkRERERERERERBQGDFuJiIiIiIiIiIiIwoBhKxEREREREREREVEYMGwlIiIiIiIiIiIiCgOGrURERERERERERERhwLC1FBNCYMWKFTh+/Hi0SyEiIiIiIiIiIir2GLaWIidPnsR7772HnTt3AgAGDBiA1q1bo3fv3lGujIiIiIiIiIiIqPhj2FqKDB8+HGPGjEGnTp3wwQcf4KOPPgIAzJkzBxkZGVGujoiIiIiIiIiIqHhj2FqK/PTTTwCAvXv3YujQofmmzZs3LxolERERERERERERlRgMW0uRypUr+3/evXs3UlJSMHDgQADA448/znu3EhERERERERERhYBhaymyb9++fL+3adMGTz75JGJiYrBs2TK89dZbUaqMiIiIiIiIiIio+GPYWkoIIbBt27Z8j8XFxaFhw4b417/+BQBYunRpFCojIiIiIiIiIiIqGRi2lhJZWVn4xz/+ke+x2NhYAMD5558PAFi1alWh10VERERERERERFRSMGwtJZKSkvC///0Pl1xyif+xmJgYAECLFi0AAOvWrUNubm5U6iMiIiIiIiIiIiruGLaWMsnJyf6fnZGtDRo0QGJiIrKysrBly5ZolUZERERERERERFSsMWwtZSpUqOD/2QlbY2Ji0KxZMwDA6tWro1IXERERERERERFRccewtZRRjWwFgJYtWwIAVqxYUeg1ERERERERERERlQQMW0sZXdjauXNnAMDs2bMLuyQiIiIiIiIiIqISgWFrKZOYmOj/2R22XnrppQCAuXPnIisrq9DrIiIiIiIiIiIiKu4YtpYy7oA1JibG/3Pjxo1RqVIlnDp1CmvWrIlGaURERERERERERMUaw9ZSxh22un/2+Xxo06YNAGD58uWFXRYREREREREREVGxx7C1lNGFrQD8YeuyZcsKsSIiIiIiIiIiIqKSgWFrKWMKW1u3bg2AYSsREREREREREVEwGLaWMjYjW5cvXw4hRGGWRUREREREREREVOwxbC1ldF+QBQBnn3024uLikJGRge3btxd2aURERERERERERMUaw9ZSxjSyNT4+Hi1atADAWwkQEREREREREREFimFrKRMXF+f/WQ5bAd63lYiIiIiIiIiIKFgMW0sZ08hWAGjVqhUAYM2aNYVWExERERERERERUUnAsLWU8QpbGzZsCAC8ZysREREREREREVGAGLaWMl5ha1paGgBg27ZthVQRERERERERERFRyVDkw1YhBH7//Xc88sgj6Ny5M1JTUxEfH49atWrhmmuuwaxZs4Jue/78+ejbty+qVq2KpKQkNG/eHCNHjkRWVpZxubVr1+LGG29EzZo1kZiYiEaNGmHIkCE4cuRI0LUUFnfAGhMTU2C6E7bu378fJ06cKKyyiIiIiIiIiIiIir0iH7b+8ssvuPDCC/Hyyy9j0aJFqF69Olq2bImjR49i6tSp6N69O5588smA2/3oo49w4YUX4uuvv0ZCQgKaNWuGTZs24d///jcuuugibdA4a9YstG/fHh9//DFyc3PRokUL7N27F6+88grat2+Pffv2hbrKEeUOWFUjW1NTU5GcnAyAtxIgIiIiIiIiIiIKRJEPW4UQOOuss/DGG2/g4MGDWL9+PZYsWYL09HQMGzYMADBq1Ch8++231m1u27YNt99+O3Jzc/Hiiy9i586dWLJkCTZu3IimTZti0aJFePTRRwssd/ToUVx//fU4efIkHnjgAezatQt//vknduzYgS5dumDLli24/fbbw7bukeB1GwGfz8dbCRAREREREREREQWhyIetnTp1wtq1a3HPPfegYsWK/sfj4+Px3HPPoWfPngCACRMmWLf50ksvITs7G3/729/wyCOPwOfzAQDq16+P9957DwDw9ttvFxil+uabb+LAgQNo1qwZXn31VcTFxQEAKleujI8//hixsbH47rvvsGTJkpDWOZKcmgH1bQQA3reViIiIiIiIiIgoGEU+bE1OTlaOwHT06NEDALBhwwar9oQQmDZtGgAoR6Gef/75OPvss3H69Gl89dVX+aZNnToVADBw4MACQWW9evVw6aWXAgA+//xzq1qiwb0tnZBZxrCViIiIiIiIiIgocEU+bPXifJlVUlKS1fw7duzAnj17AABdunRRzuM8vmDBAv9jOTk5+PPPPwNerqhxh61CCOU8DFuJiIiIiIiIiIgCV6zDViEEpkyZAkAfgMo2btwIAEhISECtWrWU8zRs2DDfvMCZ4PH06dP5ptssV9S4w9a8vDzlPAxbiYiIiIiIiIiIAqf/fH4xMGHCBCxduhTx8fF46KGHrJY5fPgwACA1NVX7MXrn3rDOvPLP7nvHei2nkp2djezsbP/vmZmZFpWHB0e2EhERERERERERRUaxDVuXLFmCBx98EAAwatQoNGrUyGo557YD8fHx2nkSEhIAACdPniywnGlZ1XIqo0ePxtNPP13g8dWrV6N8+fLGZUO1e/du/8+7du3CypUrC8xz4sQJAMD+/fuxcOFC61s0ELBz585ol1CicftGFrdvZHH7Rha3b2QV1vY9duxYofRDRERERBQpxTJs3bp1K/r06YOsrCz0798fQ4YMsV42MTERAHDq1CntPM6oU3fI6CznLOv+3bScyrBhw/Dwww/7f8/MzETdunXRokULJCcnW6xFeNSsWROtWrUq8LgQAsnJycjMzET58uXRvHnzQqupJFBtUwofbt/I4vaNLG7fyOL2jazC2L6F+WkfIiIiIqJIKHb3bN27dy969OiBPXv2oHfv3pg0aZL2dgAqzkf9jxw5ov0YvXMbAPftAtw/624ToFpOJSEhAcnJyfn+RYNu/X0+Hxo3bgwAWLduXWGWREREREREREREVGwVq7D10KFD6NGjBzZv3oyuXbtiypQpiIuLC6gNJ0TMzs7O95F6ty1btuSbFzhzH1OnL2e6zXJFmS5sBYCWLVsCgPI2A0RERERERERERFRQsQlbjx07hl69emHVqlXo2LEjvvnmm6DuJVqvXj3UqFEDADB37lzlPM7j5557rv+x2NhYtGvXLuDlirK8vDztNOejgqtWrSqscoiIiIiIiIiIiIq1YhG2Zmdno2/fvliwYAFatGiBGTNmoEKFCkG15fP5cNVVVwEA3n333QLT582bh3Xr1iEuLg5XXHFFvmlXX301AGDSpEnIzc3NN23Hjh34+eefAQDXXHNNULUVNtPI1rPOOgsAsH379sIqh4iIiIiIiIiIqFgr8mFrbm4u+vXrh19++QWNGjXCTz/9hEqVKnkuN2bMGKSlpaFfv34Fpj3yyCOIj4/Hjz/+iJdeeskfOm7fvh233XYbAOCOO+7wj4B13H333ahSpQrWrl2Lhx9+GKdPnwYApKeno3///sjJyUHPnj3Rvn37UFe7UJjCVmfd9+7dW1jlEBEREVGQhg8fDp/PB5/Ph1GjRkW7HCIiIqJSKzbaBXj57LPP8OWXXwIAypQpg2uvvVY5X82aNTFlyhT/70eOHMH27duRlpZWYN4GDRpgwoQJuPXWW/Hoo49i7NixqFatGlatWoXTp0+jffv2eOmllwosl5ycjE8//RR9+vTBuHHj8Mknn6BevXpYu3YtTpw4gbS0NLz33nthWe/C0KFDB+00J2zdt28fhBABfQkZERERERWetWvXKs9diYiIiKjwFfmwNTs72//zxo0bsXHjRuV89evXD6jdm2++GWeddRZGjx6NefPmYc2aNWjYsCFuuOEGPPbYY0hMTFQud8kll2Dx4sUYNWoUfvnlF6xcuRK1a9fGVVddheHDh6NixYoB1REN69evx/r169G1a1ftPNWrVwcAnDp1CkeOHCkW60VERERU2gghcNdddyEuLg4XXHABfvnll2iXRERERFSqFfmwdeDAgRg4cGDAy40YMQIjRowwznP++efjm2++CbjtFi1a4JNPPgl4uaKiSZMmaNKkiXGexMREpKSkICMjA/v27WPYSkRERFQEvfvuu/jtt9/wwgsvYM2aNdEuh4iIiKjUK/L3bKXo4X1biYiIiIquAwcO4LHHHkPz5s0xePDgaJdDRERERGDYSgbOrQQYthIREREVPYMHD8ahQ4fwxhtvIC4uLtrlEBEREREYtpKB+0uyiIiIiKjomDlzJj766CPcdNNNxvvwExEREVHhKvL3bKXo4W0EiIiIiIqerKws3H333UhJScHLL78cVBvZ2dn5vog2MzMzXOURERERlWoc2Upazm0EOLKViIiIqOgYNWoUNm3ahGeffdZ/vhao0aNHIyUlxf+vbt26Ya6SiIiIqHRi2EpaHNlKREREVLSsXbsWL730Etq1a4d77rkn6HaGDRuGjIwM/7+dO3eGsUoiIiKi0ou3ESAthq1ERERERcu9996LnJwc/Pe//0WZMsGPm0hISEBCQkIYKyMiIiIigGErGVSrVg0AbyNAREREVFQsXboUPp8PV1xxRYFpGRkZAIAXXngB48ePR926dbFo0aLCLpGIiIioVGPYSlrOPcD279+PvLy8kEZPEBEREVF45ObmGv8YfuzYMRw7dgyJiYmFWBURERERAbxnKxk4I1tzcnJw+PDhKFdDREREREeOHIEQQvnvlltuAQCMHDkSQghs27YtusUSERERlUIMW0krISEBqampAHgrASIiIiIiIiIiIi8MW8nIuZUAw1YiIiIiIiIiIiIzhq1k5NxK4MCBA8b5hBDIzc0tjJKIiIiIiIiIiIiKJIatZFSpUiUA8Lxn65NPPomyZcti+fLlhVEWEREREUkmTZoEIQSGDx8e7VKIiIiISi2GrWRUsWJFAMChQ4eM8z377LM4deoU2rRpg19//bUwSiMiIiIiIiIiIipSGLaSkc3I1qNHj+b7/cYbb4xoTUREREREREREREURw1Yycka2msLWFStW5Pv9r7/+QnZ2dkTrIiIiIiIiIiIiKmoYtpKRTdi6bNmyAo+tW7cuUiUREREREREREREVSQxbyci5jYDpnq1O2Dp8+HBceOGFAICVK1dGvDYiIiIiIiIiIqKihGErGdmMbHWC1datW6N58+YAgA0bNkS+OCIiIiIiIiIioiKEYSsZpaamAgCOHDminWfr1q0AgEaNGqFevXoAzty3lYiIiIiIiIiIqDRh2EpGFSpUAAAcPXpUOf3kyZPYv38/AKBevXqoU6cOAIatRERERERERERU+jBsJaPk5GQA+rB1x44dAIBy5cqhUqVK/rB1586dhVMgERERERERERFREcGwlYycka2nTp1CdnZ2gelO2Fq/fn34fL58YasQovAKJSIiIiIiIiIiijKGrWRUvnx5/8+q0a3OLQRq1KgBAP6w9fjx48jMzCyEComIiIiIiKi48/l80S6BiCgsGLaSUWxsLJKSkgCow1bni7OcL9IqW7YsKlWqBID3bSUiIiIiIiI7/GQkEZUUDFvJk+m+rYcPHwYAVKxY0f8Y79tKRERERERERESlEcNW8uTct9U0slUVtnJkKxERERERERERlSYMW8mTE7aq7sHqjGx1biMAAHXr1gXAka1ERERERERERFS6MGwlT4HeRqBatWoAgIMHDxZCdUREREREREREREUDw1byFOhtBCpXrgwASE9Pj3xxRERERERERERERQTDVvIU6G0EKlWqBIBhKxERERERERERlS4MW8mTaWSr6jYCzsjWQ4cOFUJ1RERERERERERERQPDVvJkumer6jYCHNlKRERERERERESlEcNW8qQb2Zqbm4uMjAwAvGcrERERERERERERw1bypLtnqxO0Avnv2eqErceOHcOpU6ciXyAREREREREREVERwLCVPOlGtjq3EChbtizi4+P9j6empiIxMREAsGPHjsIpkoiIiIiIiIo1n88Hn88X7TKIiELCsJU86e7ZqvpyLAAoU6YMmjRpAgBYv359IVRIREREREREREQUfQxbyZPXyFb3LQQcZ599NgBg3bp1Ea2NiIiIiIiISgYhBIQQ0S6DiCgkDFvJk+6erbqRrQDQuHFjAMCWLVsiXB0REREREREREVHRwLCVPOlGth46dAiAOmx1HpMDWiIiIiIiIiIiopKKYSt50t2z9eDBgwCAqlWrFlimfPnyymWIiIiIiIiIiIhKKoat5MkZ2XrixAnk5OT4H09PTwcAVK5cWbvMsWPHCqFCIiIiIiIiIiKi6GPYSp6c4BTIH546I1urVKlSYBmObCUiIiIiIiIiotKGYSt5SkhIQHx8PID84akpbOXIViIiIiIiIrLl8/miXQIRUVgwbCUrqi/J4shWIiIiIiIiCgchRLRLICIKC4atZMUJWzMzM/2PcWQrERERERERERHR/2HYSlZMI1tVX5DlHtnKv1ASEREREREREVFpwLCVrCQnJwP4v7D19OnT/lGuppGtOTk5OHXqVCFVSUREREREREREFD0MW8mKPLI1PT0dAFCmTBmkpqYWmL9cuXL+n3nfViIiIiIiIrLFL8siouKMYStZke/Z6txCoFKlSoiJiSkwf2xsrP9WAocPHy6kKomIiIiIiKi4463oiKg4Y9hKVuSRraYvx3LUqFEDALBnz54IV0dERERERERERBR9DFvJinzPVtOXYzlq1aoFgGErERERERERERGVDgxbyYp8GwHnnq2mka1O2Lp79+4IV0dERERERETFFe/RSkQlCcNWshLMbQRq1qwJgCNbiYiIiIiISE++RyvDVyIqzopF2Lp161ZMmDABd955J1q3bo3Y2Fj4fD6MGjUqqPZ8Pp/Vv/fffz/fcpMmTfJcZsaMGeFY5SJHdxsBhq1ERERERERERERnxEa7ABtjx47F2LFjw9Zely5dtNMOHz6MNWvWAAA6d+6snKdatWpo3LixclrFihVDL7AICmZka6VKlQAAR44ciWxxREREREREVGLII12JiIqTYhG2VqlSBX369EGnTp3QsWNHvPPOO/jiiy+Cbu/333/XThs+fDjWrFmDTp06oWnTpsp5evbsiUmTJgXdf3Ek37PVJmxNTU0FwLCViIiIiIiIiIhKh2IRtg4fPjzf759++mlE+hFC4KOPPgIADBgwICJ9FFfyyFbnC7IqV66sXYZhKxEREREREQXK5/NxdCsRFVvF4p6theW3337Dtm3bEBcXh379+kW7nCIlmHu2pqSkAAAyMjIiXB0RERERERGVFAxaiag4KxYjWwvLhx9+CAC4/PLLjSHi8uXL0b9/f+zduxfJyclo27YtbrrpJjRq1KiwSi10vI0AERERERERERGRGcPW/y87OxtTpkwB4H0LgWXLlmHZsmX+37/66iuMHDkSTz/9NJ544olIlhk1Tth67NgxZGVl+Ue42oStR48eRW5uLmJiYiJeJxERERERERV/vJUAERVXvI3A//fNN9/gyJEjSElJwd///nflPKmpqbj//vsxd+5c7Nu3D1lZWVi6dCkGDBiA3NxcDB8+HOPHj/fsKzs7G5mZmfn+FXVO2CqEwM6dOwEAMTEx/lsFqLinFYd1JCIiIiIioujx+Xzw+XwAeCsBIiq+OLL1/3NuIXDttdciMTFROc+VV16JK6+8Mt9jbdq0wf/+9z9UrlwZY8aMwfDhw3HLLbf4w0mV0aNH4+mnny7w+OrVq1G+fPngV8KCE5QGSgiBMmXKIC8vD7/88guAM/dxXb16tXG5xMREZGVl4Y8//kCdOnWC6rs4CXb7kh1u38ji9o0sbt/I4vaNrMLavseOHSuUfoiIqGhiwEpEJQHDVgDp6emYPn06AODmm28Oqo2nn34a//3vf5GRkYFffvkFffv21c47bNgwPPzww/7fMzMzUbduXbRo0cL/RVSR1KpVq6CWq1ChAjIyMvxvgDVq1PBsq2LFitizZ4/VvCVFaVnPaOH2jSxu38ji9o0sbt/IKozty0/CEBERwFsIEFHxxtsIAJg8eTJOnz6NtLQ0XHDBBUG1kZycjBYtWgAANm3aZJw3ISEBycnJ+f4VB85o3a1btwIw36/V4dy3NSMjI2J1ERERERERERERFQUMW/F/txC46aab/PeHCUZcXBwAICcnJyx1FTVOKBxM2HrkyJFIlUVERERERETFmHwdzlGtRFSclfqwdfPmzZg/fz6AM2FrsHJzc7F+/XoAKLH3JnVGtm7cuBEAULVqVc9lnC/JYthKREREREREKqZwNZQBUURE0VDqw9YPPvgAANCpUyc0bdo06HbeffddHDlyBDExMejWrVuYqitanLB12bJlAIDGjRt7LsPbCBAREREREZGMISoRlVQlNmwdM2YM0tLS0K9fP+N8H330EQBgwIABxvkyMzNxww03YOHChfkez83NxYQJE/Dggw8CAG6//XbUrl07hMqLLidsdTRr1sxzGd5GgIiIiIiIiGS2twrgLQWIqLiJjXYBNubOnYu+ffv6fz927BgAYPTo0RgzZoz/8aVLl6Ju3boAzoR727dvR1pamrbd+fPnY9OmTYiLi/MMZfPy8vDpp5/i008/RWpqKho0aIDY2Fhs3LjRHyT27NkTY8eODW4liwH5i7zOPvtsz2V4GwEiIiIiIiKSqe7T6jzm/MyglYiKo2IRtp4+fRrp6ekFHj9x4gROnDjh/z03Nzegdp1bCFx++eWeX/ZUrlw5vPjii5g3bx5WrVqFzZs34+TJk6hcuTJ69+6Nm2++Gddee22J/ihEvXr1/D8nJCQYg2wHbyNAREREREREMneQ6g5ZiYiKu2IRtnbr1i3gg+6IESMwYsQI4zxvvPEG3njjDav24uLi8MgjjwRUQ0lz2WWXYeTIkQCAtLQ0xMTEeC7Dka1ERERERETkJo9aVV3vM3glouKqxN6zlcLv3HPP9f989OhRq2U4spWIiIiIiIiAMyFroLcHKMmfHiWikolhK1mLjY31jwR+5plnrJbhF2QREREREREREVFpUSxuI0BFxz333IN//OMfnve4dfA2AkRERERERAQUvDWAzb1anWm8rysRFRcMWylgVatWtZ6XtxEgIiIiIiIioGBgGkhwypCViIoLhq0UUe7bCAgheL8dIiIiIiKiUirYwNR9HcnQlYiKOt6zlSLKuY1Abm4ujh8/HuVqiIiIiIiIqLDJg26cL8qyJYTw/yMiKuoYtlJElS1bFrGxZwZQ81YCREREREREpY8qJA00OA00oCUiihaGrRRRPp+PX5JFRERERERUyoVyKwCfz8eRrURUbDBspYhz7tt6+PDh6BZCRERERERExYoTtDojWznClYiKOoatFHFVqlQBABw8eDDKlRAREREREVG0uINS29DUGc3qvm8rR7gSUVHGsJUijmErERERERERERGVBrHRLoBKvqpVqwJg2EpERERERFQaObcC0P1ORFSScGQrRZwzsvXAgQNRroSIiIiIiIgKmxysBhO0yrcgICIqqhi2UsRxZCsREREREVHpFmpA6r5XqzxKloioKGHYShHHka1ERERERESlkxOGCiH8o1ODCUg5spWIiguGrRRxHNlKRERERERUOjkhq/xYMO3wPq9EVBwwbKWI48hWIiIiIiKi0iHYkatebbq5R8m6fyYiKgoYtlLEOWErR7YSERERERGVPu57rapGutou71CFr8G0S0QUCQxbKeKc2wgcO3YMWVlZUa6GiIiIiIiIws19b1Y5+AxHCKoavSqHsLzNABEVBQxbKeJSUlIQGxsLgKNbiYiIiIiIiIio5GLYShHn8/l4KwEiIiIiIqJSwH0vVUc4PuLv/oIsmy/L4i0FiChaGLZSoeCXZBEREREREZVcXvdllcNXh1coahOaum8x4L6dARFRNDBspUJRuXJlAEB6enqUKyEiIiIiIqJwku/PKo9sDYXTjuqere553GEvR7USUTTFRrsAKh0YthIREREREZVM7kDUJmR1z2ea39QeA1UiKqoYtlKhYNhKRERERERUssnBqO1H+nWhqu7WAzZtmtolIook3kaACgXDViIiIiIiopJF/mi/87s7ZPUKUd2/m24VYFuP++dA7g1LRBQuDFupUJjCViEEFi1ahJMnTxZ2WURERERERBQkVZipC1hVVF+iFcpIVPf9WoMZCUtEFA4MW6lQmMLW7777Dp06dULZsmWxYMGCwi6NiIiIiIiIPOhGnbrvvRpooOke0VoYQh05S0Rkg2ErFQpT2Dp27Fj/z127dkVeXl6h1UVERERU3Agh8Pvvv+ORRx5B586dkZqaivj4eNSqVQvXXHMNZs2aFe0SiaiEkj/uH67gMpAvwZIfU42OdU+zua0BEVE4MWylQmEKW1NTU/0/Z2dnY968eYVVFhEREVGx88svv+DCCy/Eyy+/jEWLFqF69epo2bIljh49iqlTp6J79+548skno10mERERUanEsJUKhS5sTU9Px+eff57vsblz5xZaXURERETFjRACZ511Ft544w0cPHgQ69evx5IlS5Ceno5hw4YBAEaNGoVvv/02ypUSUXEmj1x1j2p1jxAN9yhXt0C+XEtmqsdmxCwRUbAYtlKhcMLWjIwM5OTk+B8fP368/+e77roLAPD7778XbnFERERExUinTp2wdu1a3HPPPahYsaL/8fj4eDz33HPo2bMnAGDChAnRKpGISjgnXHVCV93H8wsjwNT1YbplgBwUux8jIgoVw1YqFO4LgUOHDvl//vPPPwEA5557Lu655x4AwPTp07F+/frCLZCIiIiomEhOTkZsbKx2eo8ePQAAGzZsKKySiKgUUAWsTlCpGykaiQDT3ZdNH+5aVfd3ZchKROHGsJUKRWxsrP/erM6tBIQQWLJkCQDglVdeQevWrXHZZZchLy8P06ZNi1apRERERMVaVlYWACApKSnKlRBRcSYHkapbB8hfRiUvH6m6vPqQA1n51gdERJHEsJUKjXzf1jVr1mDXrl2Ij49HmzZtAAC9e/cGAMycOTMqNRIREREVZ0IITJkyBQDQpUuXKFdDRCWJfP9WryBWNerVdG9Xeb5QeNUWjj6IiHQYtlKhkcPWr7/+GgDwt7/9DeXKlQMAXHTRRQCARYsW8a+ORERERAGaMGECli5divj4eDz00EPa+bKzs5GZmZnvHxGVXsEGj6qAVL6Hqy74lHmNWFUFtV5fdKW65YC7Lncw7A5hGcQSUSgYtlKhqVOnDgBg69atAM4EqgDQvXt3/zzNmjVDXFwcMjIysH379sIvkoiIiKiYWrJkCR588EEAwKhRo9CoUSPtvKNHj0ZKSor/X926dQurTCIq4uSw0R2iyoGkzUf65XaCqcdpX75tgapPU5irql8VDnPgDxGFgmErFZpmzZoBANauXQsA/vu1tm3b1j9PfHw8mjdvDgCYO3duIVdIREREVDxt3boVffr0QVZWFvr3748hQ4YY5x82bBgyMjL8/3bu3FlIlRJRUaIKTYH8oz5Vgar8BVk2ggkwTV+ApRv9qnrMHdialuWoViIKB4atVGicsHXNmjXYvXs3tm/fDp/P579fq+Pyyy8HALzwwguFXSIRERFRsbN371706NEDe/bsQe/evTFp0iTPsCAhIQHJycn5/hERERFR6Bi2UqFxRrAuWLAAEyZMAAB06tQJqamp+ea76667AJwJZXNzcwu1RiIiIqLi5NChQ+jRowc2b96Mrl27YsqUKYiLi4t2WURUxMkfzXd/vF73cXr5I/imUae6/gJl076qHpv+VLckCGR5IiIdhq1UaJo3b44LLrgAp0+fxogRIwAAvXv3LjBfvXr1EBMTg9zcXOzbt6+QqyQiIiIqHo4dO4ZevXph1apV6NixI7755hskJSVFuywiKoHcQSsQ+H1NAwllvYJOebp8z1V3f6ppuvpM94YlIgoEw1YqVFdeeWW+31Vha0xMDGrWrAkA+OuvvwqjLCIiIqJiJTs7G3379sWCBQvQokULzJgxAxUqVIh2WURUDOju0Woif4GUV/uhjGT1Gl0a6pdXycGx87Pcrm70LsNXIvLCsJUK1cUXX+z/uVmzZvm+HMutTp06AIBdu3YVSl1ERERExUVubi769euHX375BY0aNcJPP/2ESpUqRbssIipG5FsCOD97femULuiUv4TKdmSoaVqooapXX6Z1kX9XbQN+oRYR6cRGuwAqXdq2bYtXX30Vq1evxvDhw7VvTE7YunHjxsIsj4iIiKjI++yzz/Dll18CAMqUKYNrr71WOV/NmjUxZcqUQqyMiIoy+b6kALQ/uzkfsTeFn+6P4aumeS0X7mAVKBgeu/tSTZOXsRnt6yxDROTGsJUKlc/nw+DBgz3nu+CCC/D555/ju+++w6OPPloIlREREREVD9nZ2f6fN27cqP3jdP369QurJCIqBuSQUfVzOIPPSIWotu2rptkGqXI/8jJeo31VyxBR6cHbCFCR1KdPHwDAvHnzkJubG+VqiIiIiIqOgQMH5vvSF92/bdu2RbtUIooi98fcVfcf9RrVqlvOPc3UrzzaNdz3YA12OdtbF5jWXf7iLdWtBhi0EpVeDFupSKpfvz7KlCmDnJwc7N+/P9rlEBERERERFRtyIKgK/1T3JpUDWN39V1WPu0eNmj6qHwm68Ff1mCpQVbHZZqo2iYgYtlKRFBsbi5o1awLgl2QREREREREREVHxwLCViqzatWsDAP76668oV0JERERERFQ8yPdiNY3e1C2vY/oSLdt5w0k10lZ3P1Xncff2UI3QVW0v0whdd1u2o2uJqGRj2EpFlhO2cmQrERERERGRHVXoKP+um6b70inbwNAr3A1n8AvoQ16v2wd4hca6e9TahMqmoJaISofYaBdApFOnTh0AHNlKRERERERkQxX0uUdeOvN4hYbB3m/Va75Ag8dA53ffq9amTXnbqPqUt4VqGXlZ0zxEVPJxZCsVWRzZSkREREREpZFq5KnXR9TlL8VyuL+wyvldphsNq+rPNGI2UOH4iL3utgE2vIJZU5vubSFvF91tDXTtEFHJwrCViiyObCUiIiIiotJCvpeoLrxz032EXTd61dSnuz3bkaGqWgMRjpGfXh/jV00L5VYG7m0kh9qB3CaBo1+JSi6GrVRkcWQrERERERGVBqqPv9uEmIHcH1T38XjVCExdv4F8QVakBVqje5rpvrSmWzHIj6nCcdPtGDiKlah0KBZh69atWzFhwgTceeedaN26NWJjY+Hz+TBq1Kig2hsxYkS+G3er/q1bt067/Nq1a3HjjTeiZs2aSExMRKNGjTBkyBAcOXIkyDUkFSds/euvv/jXPiIiIiIiKrFsQ0xT6Cf/rKMbUel131JdDYUVIOpG4apqCaYmUxBrE3zLt2tQtaXaxvK2ZSBLVPwViy/IGjt2LMaOHRv2duvWrYt69eopp5UtW1b5+KxZs9C7d2+cPHkSVatWRYsWLbBu3Tq88sormDZtGubNm4fq1auHvdbSyAlbT5w4gYyMDKSmpka3ICIiIiIiogiQAzp3eGqaV6b6EizT7QhsP8puCmJNIznDyaZdm9sgOHS12nyBmPt33YhW5zGvfoL5IjIiKtqKRdhapUoV9OnTB506dULHjh3xzjvv4Isvvgi53dtuuw0jRoywnv/o0aO4/vrrcfLkSTzwwAN4+eWXERcXh/T0dPTt2xdz587F7bffjm+//Tbk2uhM4J2amoojR45g9+7dDFuJiIiIiIiIiKhIKxZh6/Dhw/P9/umnn0aljjfffBMHDhxAs2bN8OqrryImJgYAULlyZXz88cdo1KgRvvvuOyxZsgTt2rWLSo0lTa1atfxha/PmzaNdDhERERERUcjk0ZC6UZO6j/ObRr/KIylNH7cPZCSlarRsIKNaIznq1YbNdtE9rhp5rJvf9p6tqvn4pVlEJUOxuGdrUTF16lQAwMCBA/1Bq6NevXq49NJLAQCff/55oddWUtWqVQsAsHv37ihXQkRERERE5E11303b+4267zmqupen6jYBgXyxljvMk7/kSZ5HJvfhFUrKj4cSIIbjPqY297FV/e7+uL/t7QlMNehu5eCeLrfH+7gSFS/FYmRrpMyaNQurV69Geno6KlWqhE6dOuHmm29GjRo1Csybk5ODP//8EwDQpUsXZXtdunTBjBkzsGDBgojWXZo4921l2EpERERERMWB7RcsmUanmkI9VeCqoxvNqRsNa2rTq79gp9kIV1CrG3VqGp0qt+V1X1jTCFXbL/gK9j6u0R49TERnlOqw9ddff833+xdffIERI0bgjTfewMCBA/NN27ZtG06fPg0AaNiwobI95/GNGzeGv9hSiiNbiYiIiIioqDN9xF71RUiqx3TtBVOHKhD0CgoDCVpNH3eP9kfhdSOAVfPYfJGVm2o+1XKmWwTo6vC6HYTtdmXgShR9pfI2AjVr1sTjjz+ORYsWIT09HSdOnMDcuXPRs2dPnDx5Erfddhu++eabfMscPnzY/3PFihWV7TqPu+dVyc7ORmZmZr5/pMawlYiIiIiIijLV6FHdyET5VgFu7o/2u8M5r4+4u/+FMrpU99F29zTTbQjkadHide9TeRSvO4CWt6dXkCr/rgpU5b5UferCeLkdVV9eo2WJqPCVypGtd911V4HHzj//fHz33Xe45pprMG3aNAwePBh9+vTxH7iysrL888bHxyvbTUhIAACcPHnS2P/o0aPx9NNPF3h89erVKF++vPV6BGPnzp0RbT/cnNHEGzduxMqVK6Ncjbfitn2LG27fyOL2jSxu38ji9o2swtq+x44dK5R+iIjCyWakoTOf6mP8qmDN6wuYVCNpdW0Fw/QRed3voX7U33Z5mxG4NqGz6XYPctgtj5TVPWe62zTYBsByjbrw1tR2uEdLE1HgSmXYquPz+fD8889j2rRp2Lx5M1asWIHWrVsDABITE/3znTp1Kt/vjuzsbABAUlKSsZ9hw4bh4Ycf9v+emZmJunXrokWLFkhOTg7Hqhi1atUq4n2Ey4kTJwAAR44cKTZ1F5c6iytu38ji9o0sbt/I4vaNrMLYvvy0DxGVBKqgVP4YuXsUpSpY04WvpqA1HEFaKIFcMMvahKOySN0b1nQLBrn9QEYJy4+bglh3Le5puuXcdavWRdUPA1eiyCuVtxEwadKkCSpVqgQA2LRpk/9x960DdLcJcB7X3WbAkZCQgOTk5Hz/SM25jcCePXuQl5cX5WqIiIiIiIjMvD4qrgrGdPfzdP7XBZJeH2F3fxzetvZgRSLEC6T2QNoMZprXfKb717qnqwJdr2DXqy75dg66W1d47S9EFB4MWxXi4uIAADk5Of7H0tLS/I9v2bJFuZzzeOPGjSNcYelRo0YNAGduJ5Cenh7laoiIiIiIiPKTA035np+AfkSjHMCpPkpuey9P3WjXYO+hGomgU2YzQtQrxDSxDUVNfana1NWkG33qrsU9olm3Hu6Rz+7a5NsbyNNU66e71ytHuBJFDsNWycGDB7F//34AQJ06dfyPx8bGol27dgCAuXPnKpd1Hj/33HMjXGXpERcXh2rVqgHgl2QREREREREREVHRxrBV8uqrr0IIgZSUFHTs2DHftKuvvhoAMGnSJOTm5uabtmPHDvz8888AgGuuuaZwii0lnFsJMGwlIiIiIqLCIo9Wdf/vZvqIv+6LkUwf+ZdHPKo+im4a2Wn6giSvdVHVbyPUj+YHOoLWZju45wsH+TlR3aLBpj/3fiGvh2q0szwi1vlZNzJWdf9X3a0EdOtpc9sCItIrsWHrmDFjkJaWhn79+uV7fPXq1bj33nuxevXqfI9nZWXhueeewwsvvAAAeOyxxxAfH59vnrvvvhtVqlTB2rVr8fDDD+P06dMAgPT0dPTv3x85OTno2bMn2rdvH8E1K31q164NANi1a1eUKyEiIiIiopLK62P+ui8iMv1ualt+XPdRcK97tdoK5B6gskBCzWADyED7Nn2c34tNSGlazv3RfdsvnlJ9vN9pM9DnU95PTAFpMF9AFuwXgBHRGcUibJ07dy6qVKni//fpp58CAEaPHp3v8Z07d/qXOXLkCLZv3469e/fma+v06dP473//i5YtW6JatWro0KEDOnTogMqVK+OJJ55AXl4ebr/9dgwdOrRAHcnJyfj000+RmJiIcePGoXbt2ujQoQPq1auHuXPnIi0tDe+9915kN0YpxJGtREREREQULqZQSp4vkBGBpnlMoaDt/T/lmnQjGFV9qOqR7wvqNb8t3f1jg2UzEtNmfq9tE8ioVNXjtgGu7n6+uvpUX7Cmu2+r7g8C8iha1T7E0apE4RMb7QJs6L4c6cSJEzhx4oT/d/mj/SppaWkYOXIk5s2bh3Xr1mH9+vU4deoUqlWrhl69euGOO+7AZZddpl3+kksuweLFizFq1Cj88ssvWLlyJWrXro2rrroKw4cPR8WKFYNbSdJywta//vorypUQEREREVFxogo0bYNDOTBUfXRbdZsAm1GaptGDphA22NGT4ZrfEUgArfu4fKhstreqT10gGci20n1RmW4Z060gVNtHbs/UtymkDWRZVVjLL9MiCk6xCFu7desW8It7xIgRGDFiRIHHU1NTMXz48JDqadGiBT755JOQ2iB7DRo0AABs2bIlypUQEREREVFx4B4J6P7d6+PtphDNFF7Jowd1Nej6MoV9tvN5zRPMx9V1ywYaWAe6XDgFEorqmNbfJpA0zS+PXNX1KbdlCmltRijbvCZUrx8Gr0TeisVtBKh0a9y4MQBg48aNUa6EiIiIiIiKOq/AVP4IvS6oUn3MWvXRc1OwJX9cXPdxb/ln0zTbddeth3uarg3VutjOG22FXZNqlKzX/KZQ0+a58gpiVcup9gdVyOueR/4jQihhPVFpwrCViryzzjoLALBz505kZWVFuRoiIiIiIoo2m/DG9h6aqntgOo+b7sWpClFVbevuyenuzzaM8rrHpiqYlUNeL17hodfo4MIWzL1XA2nPhk0Y7RWiysGnPPJV3ufk/lWBveoPCnLNuj8iqNrV0W0z3oaASiuGrVTkVa1aFeXLl4cQAtu3b492OUREREREFGU2H9nWhZ/u0XryKFN5ZKD88Wndx/ODCTHd9QT6sfxgP84dzAjFUNY5XMuZ2tPVF0w9NiNGTW2p5g3HOnu1KY9EVd3WQv7Z648FqteCze0JbB4nKukYtlKR5/P5/F+StXfv3ihXQ0REREREREREpMawlYqF6tWrAwD27dsX5UqIiIiIiKg4UI30A/QjNeXfdfeydNqQRwea2lR9EZF72XCM9vS6xYBumUD6dm+XYD5ebrucVzvydlfde9e0nPOzzfNoSzcq2r3Ophp1t5uQ9zn5Z/fv8j95Hd0jteVaTbfLMK2HXKd7Ofln3fxEJU1stAsgslGjRg0AHNlKRERERFSamD4mrvsIvipEAwoGnO7HneXkaTLVbQfcoZLqo9q6Or1uT6BjcwuBQG9LYCvc89veDsH0EXdTP6b5IvkR90BuRWAKME3TTfWb7u3qtbzpnrym/dV22/I+rlQacGQrFQsMW4mIiIiISh9T0CpPV43ck0fkyaPz3EGp3IduNKxX0Gf6wiGbEZheI1RDvT+mzajEwuIVNOqE+36xch26+XSjN1X96PYpXVs2AbpuVLGqT5swVbWsLkz1eq2Y6nbPF8wfF4iKG45spWLBuY0Aw1YiIiIiopLDFDLpgiNT2CgHru6gRw5mdcvLfejak5dTjWC1CWZNfYdrZKjX/PJ20m37QPuzXcY0ulg3KjhQpgBRFd571WkTetuObDbV6K5TN4/tSFLV60A3elVe1rTvmtqzqc9rNDlRccORrVQsOCNbec9WIiIiIqKSwyZkMY0cNX20Wg5f3fOrRry6lzHVo7qHpSms8xr15w7BTP2bagp1flXoqArYbEdLBltjIH0GWodtf6Y+Te2bRiGrnlfd7Sjk9rxGnKqo9lV3u/LrQu7Ha2SvvL96jRKXf/caFWxanqg4YNhKxQJvI0BEREREVDK5QxrVR6G9PuJu+si2HDSpQidZICM7bT52bvNRed2owUA/su3Vj24eXUhsG3TZjKwsjNAs0LA6mPbd/dh8bB+wG52r+10Vljr/m/Y73ShW9z/bbaUaxSrXavPacs8r/4FCd4sBXbsMYakoY9hKxQLDViIiIiKi4iOYQFAOYVSBkTxdF8TYjrqTl3P3o2IauWoa2Sj/bBq9J492DSTQ85rHmc80cjOYkZQmth/Rl/sPtb9A2rTdL9zTghlpGkj/uumBbk/3cnJQq9o/5RG3uv1W97oxhbmmUa26Pzio2pfnZ/BKRQ3DVioWnHu27tu3D3l5eVGuhoiIiIiITLzCPNXH/d3zOI+rAlN5Od1IORNTuGoaOagKq0wfBVetu22Iqlsf1fayDVB1fbmnhXt0aCAfDY9E/8GGxqrlbAPtcDI9t14jTU2jZZ22dfuHaX/StW+qTxdo66aFMlqa4StFG8NWKhaqVasGAMjNzcWhQ4eiXA0REREREREREVFBDFupWIiPj0flypUBALt3745yNURERERE5GYzGhTQjxbUfdzevYx7lKvp9gHuPuVlVaNhdbcb8Lp/pOpxm49C69qS+1f9rlrWa4RhICM7gx256bWetttRNd1rtLDttECei0D7CkQgt63wmibXFUiN8q0CVPua6jXhVYdp1LI8v+52GV7rIb/edKO/OcKVooVhKxUbaWlpAIAtW7ZEtxAiIiIiolIo1LDKacMrlFHNq6tF9/F/+WPScq1ymOkV3qj69Qp0VCGyKfiUb0mg+l3VRzhDpWBDx3CGs/I8ptsK6LaJalqoH/03hZLufm2CwnCGu6r90FSLKbTX1ed1mw45OPXqU3W7CNMfKgLZv+XXqKkWokiJDVdDGzZswPfff48tW7bg2LFjxjend999N1zdUinSpEkT/Pnnn9i4cWO0SyEiIiIiKhW8RrPZzqsKwLzCG/c0OZTRjbaTg1bd46pldO2YHrOZx1ago0pN6x5u7rbD0Yf7OfQaLSz/7LWegdQXzEheeTuoAnubdm3Ww2s/1I3AlmvVtat7veiWNb2OTW25p6v+YGFTt8220PEKYG36IgpEyGFrbm4u7r33XrzzzjsA7Ia4M2ylYDRu3BjAmWCfiIiIiIjCTzUaU/Wz17y6eVTTVMGqV3gkB67OY6Yw1B1MqcJDr0DRZj1stkeg7euo1lX10exAA1nbQM22Pdv6vWoKJOy1rSvYdTGNyFQ9ZgrqbfZ33WO60aA2f/Twev3Z/PFEtz7ux3Sjx23DUd36BBsOm/7wonuMKFAhh62jR4/GhAkTEBMTg759+6Jjx46oVq0aypThHQoovJo0aQIAHNlKRERERBQGplDNdjmv4EI3+k8VCnrVZrucabq7LpuPqdtQBcCq2lV1yj/L6+DVjq5NXVhmE/CZ+rQJ4cIRVNkEfvL8Tn02daoEOq9u5LSuHt184dpe7n7cbav+GKEb2ar6Y4Q8LZC63f2owlF5G7qn6epUtWsbVtsEtKE8HwxqyRFy2Pr+++/D5/Phyy+/RO/evcNRE5ESR7YSEREREYVPMCGevJzNSE5dCGUKJlXLmB6X+9S1qwulVH2bws5gR6h6hcfueQINbUzbUDevKjg3hVtyu4H0aaLbx1R9mkJk1WOBhta25HptgvZwbS9HoKNi5WmqdZBDVds65WVtltcFpqq2VO2ZAlfVH1y8QtxQMWglR8jDT3fu3Im0tDQGrRRxTti6Z88eHDt2LMrVEBEREREVPzYf3TWN/nKCDd2INNUINndw4g7z5LblZeSQRDcCVRXKmEa0yaGSLtCzZTuaVbVMsMFqIDXpnhOZLkT1CqS8tpVuv9L17SWYEFoOD921BTOq2bQfqkZyqraB7XYzTdO9JtyvU9Xrwz2P+3dVOOn1BwWvdXLXovqne/3K87jrUR0fVNvHvYwczOr+EOQlmP2FSp+Qw9bq1asjNTU1DKUQmVWsWBFVq1YFwFsJEBEREREFw2aUpirM0C1vGl0abLgmh2NyPXL4ogpedKGPKjhWrYscxKrakYNSm0DT3b7NfLbTVaGZuy/TKFWv59Q0XRXQ6YQSKAcacOnmV4V6XoG/Kig1vUZU7XoFlqq+bUamuvuyfR7kdrwCSF1obFp/OUjV1atbTt5H3X3L66+qVbXP24xitQnfOXqVbIQctl511VVYtWoV9u3bF456iIx4KwEiIiIiouDZBKjOY+7wRjcyTzdqUBXm6YJN1Wg3r7p0fbjrMoUzqlGtqlBRt71UIZxudK1pZKdNAGQzPZwjQwOZLofewbRnI9CQLFx9qvY3ebpch662YMN4uR0V3QhQrzbcr2HTSE/VH2TkkFcX8OsCUHk9VdvHFFir+lW14+7b5pigq0XXti2OiC1dQg5bn3nmGZx11lm44YYbsGfPnnDURKTFL8kiIiIiIiIiIqKiKuQvyBozZgwuu+wyvP7662jcuDEuv/xyNGrUCOXKlVPO7/P58OSTT4baLZVSHNlKRERERBQ89+gu08endcvpRpGpPvKrW8a0vPOYbhSsvKy8PrqRcHI9NiNKTTXKP5vaM2073ejDUEZmmkb62TznwfZtM/pUt3+oRlUG8jH7wvhodyCjkFX7ZKg1m/Zn3X5kU597mk2NqttMeH3k392fbl+zHSWsWh/dY6b10T2fptdIMNO82qWSKeSwdcSIEf4d6/Tp05g6dapyPvfBgGErBcsZ2cqwlYiIiIjIzOsjs7r5daGg18eCVUGuHK7YhiWmEE5ezmu6V3/yenoFWKrAyCs0DSTU0bVhmsdpL9DnXJ7m/rh0uEMn1XOm2z6BBK2q6U4b4Qy0A3m+bJ5vVfhswzaoNvVn05fq9WzzhxpV3zahqGqaqT/dNlCtp+p1YRPye62vaf3cQv0DChU/IYetTz31VDjqILJy9tlnAwDWrl1b4GSCiIiIiKgkCTXw8gq9dKNSVfN7jdRTBbKqsMZdo2k95CDFtB6mx1Vhka4WXZ+m0X/yvRxVgaIp8FOth6k/0/oGMnpWV4NpXwjn6L1QwqdAapD3Qdt+Aw25bWuT6ww29DUFp6EE1aq+VMuGY5SyKcjUteXu0xSM2h7bVH26fw5XQKo7bjCALbkYtlKx0rhxY5QpUwaZmZnYs2cPatWqFe2SiIiIiIgiwhRC6EZsycGkasSYKkjwGkmqE0gooQow5bDSPV0XRumCWtPvcp26gEo33TSaV7U+8rRAP7KsqtlLoO3LdXsFZKbgO9ARpIGGwqH0aXq+dML5vISb1x8E5PncdPu1e5ouFDQta6rBqyZnWdM+ZwpeVX0783v9Ucq2fq8/nHhN86rXtg0qPkL+giyiwpSQkIBGjRoBODO6lYiIiIioNPEaGWUKgUxBoju8cUKKQEYy6oILVTipCi6cx1VBsrseZ15T4BTsiEO5P3l9dOsqs53XFLh4jeoNhqot3fNs2odM4alNgKWqyfb5MT3ftn161eI1zTa8s6EK63X7vXsZd+Cr+uOIexnV/mR63k2vV7luuQ95mk0orVpneX10fZro9g/VsUS3jW37UtXn7st236KSI+xh68mTJ7Fq1SrMnz8fq1atwsmTJ8PdBZVyzq0E1q1bF+VKiIiIiIiCYwoAdPO42QQaplGIuhFn8j95ZJscxAYSIugCPVM9XuSabIILm7psRgCa2pTrCyQANAVUpsDUpt1A+jL1qZseaNAZju1iG+Z5hWe2oxJV7bvnCSU8c6+jKkx1z+d1fFD9wUP3mM02VP0xQ9W2TRuqx2yOO6r1c7dlCk5t/iAkh9VyTXKw7XUcV62TLNg/DlDRFraw9YcffkC3bt2QkpKC1q1b44ILLkDr1q2RkpKC7t2748cffwxXV1TKNWvWDABHthIRERFR0acapaYblakK/VQBkVfAqRth5jWaTa5RFSLpRtF5jdI0jVzTBbnu2nShi2oerzBUt12DDdvc001hUqCBsO65ctesWs6rTdO8NvuYPL9pBGGgbQXDZoSjTaAYSg3u5XX7qXser2m6EE8VbJueR7k/1f+m6e6+3K8TU6Cpa9P02pD7lB+3DbtVgbDpeCNvA90x06sG9zLy8286vkT6tUHRE5awdcSIEejVqxd+/fVX5OTkIC4uDrVq1UJcXBxycnIwe/Zs9OzZEyNGjAhHd1TKMWwlIiIiouJCvniXf5epggF5ftOILlXgILclB0JeYaMcXKhGs6nCADnkUtWnG7WmC5tMI8VUAYfcpiqECiUEUfVvCrzlfUDXj2o+XRCnG10oh0mq/U8X4Hntp6ppumDYZjSgrp9AnwfbMFu3TqYRiIEwhbu616iuPnm/N81r6k/3POv2HzebENmrTdV+K6+f137urkcXqMptqf4Q414fmzBe1bfcnq4Gr2Oke5ppn3H3w/C16As5bJ0xYwaeeeYZlClTBvfeey/Wr1+PrKws7Ny5E1lZWVi/fj3uvfdexMTEYOTIkfjhhx/CUTeVYgxbiYiIiIiIiIioKAo5bB03bhx8Ph/ee+89jB8/Ho0bN843vXHjxhg/fjzee+89CCEwduzYULukUs65Z+uePXuQkZER5WqIiIiIiM4wjTbSjQBUjT5Uzafqx2tEqGrElm6UmzxSTDcaTNev7ag000d2TSPsTKPzVP2oRpzJo81MI2S9RguqRsmqtpnXcrajOeVtYxotJ4+S080vjyj0Wl/Vetgup3oO3Oum4/U8yPN4jVBU1WTTp9dr23Z0uFdfNqNebY8zqmnydHl/UPUV6ChQr3pN+47umKVqR7UupteDaln5uOWebho5rzqGu382Hc919diOyA50+1N0hBy2Llq0CHXq1MGAAQOM8910002oW7cuFi5cGGqXVMqlpKSgVq1aADi6lYiIiIiiJ9jgTBX2eAUhpv50H9nVfVxb1adNyKMKYd3r4lW/bj29tptqnU0Bins5m3DPFD7rnj+53UDCVa+gxCsw062LVy3yNF0QZLNtbUMfU3iuEuxHpFXht6kmr0DdK9gzLRNKmKbqU35uAg2gVXW69xW5XffP8h8oTLyOAbp9QD6OqJ5Ld+Ar/6xqW14H3fq7X8uqbaM6tqrqVM2r2xa67RhoyE9FW8hh69GjR1G9enWreatXr47jx4+H2iURWrRoAQD45ptvolwJEREREZVWtgGlVxsqcqCgG1Glu0BXPS6HKboRXbqQwDbAMoVEusBIFW4FO4JPNY9tmKgKT+TgxxSKhCMo9JpHN6pOXodARvq524jkqDmvdfXa/2y3r1fYGErgrZvfK5TU7YOqfUcOBFVstkUgwbluuu4xW/KxRnfcVB2HvLan17Y2hajyfqUKf23ZzB/MNvR6f5FrUL1Ggj0mUWhCDltr1aqFdevWeYaox48fx9q1a1GzZs1QuyTC3XffDQB46623InoyQERERESlWyCj5WzakOdVBUny/6owRB6JphqtpgsbVTWp+tatuxycqNpT1S8HLe62dCPTbOpUMQV0puBVF7TI21ZuSzeKTvdYINN1tXj1pwujggmTVH0HOq/q+bdh89oKpN1grh/DEfK657EJ8VX7llco6q7VK6j0CuVMrwPTcVEX+qle+7ppcv1er0t3G3L/pvWS/6hiOraa9jU5vFVtD69avNbNZh5dbYFixhK6kMPWyy67DMeOHcOdd96JU6dOKec5deoU7rjjDpw4cQKXX355qF0SoU+fPkhMTER6ejo2bNgQ7XKIiIiIqIQKZHSkmyqQNLWtm+4OD5x2nWleF/9yre6wS7deqmBHDkjkgMIUFMmPmcJPuQ/dNpDXX8UUUAUaNJpCLq+2bEN4233BZt5wj7LTBWymoNsdXIU62k4V2gezHqZavdYxEuGT7g8Quv5stqNq29gcr9z12NauWk73Rx5d26r1loNPVbvux+RA1L09dYG/7nnWhaKq9ZCPg6ZtpVond7s220bXtg3bfUBehoIXG2oDjz/+OCZPnozJkydj9uzZuPPOO9G8eXNUq1YN+/fvx5o1azBhwgTs27cPKSkpGDZsWDjqplIuPj4eHTt2xG+//Yaff/4ZTZs2jXZJRERERFRK6IIQeZpNeKEaSWUa/SWHm3Iw6X5MF3yo+jAFp/K6qcIvmxFaXqGwribVNg00/FLVoAtvvAJSXfBqM7/q8WDWJxjh7McrINfN5/W47nVk27fN46a2bJ9br9eszb5s6iOQP2A483vN49W+e1ogbdnUoVsf1R+P5N9V209+zOuPWqrwVFWr17rLIa17XtX+rwpWg30NhnLMCOZ4WRjHpJIs5LC1bt26+P7773Hddddh586dGDVqVIF5hBCoV68ePvvsM9StWzfULokAANdccw1+++03jBkzBvfeey//8kJEREREAQnXqDU5rHTa9LpgdYd7qkBTniaPjDIFGvIILVNgqetbtW6mUEkXMnitv6o+1c+6+uU2VcvZzGsTfHk9n+55TOFIqEFroEGRV+02fZiWDzYEV7WjqkMVzLnrUk2LVFjkFbjrfg9kG5le57r5VbXp6vbaL01s6pJDRtuwWfe713bzCnfd7ej+oKU73qrWx9SXKtiV+zHVb3ptm2owtanitR0oNCGHrQBw7rnnYt26dfj444/x448/YsOGDTh27BjKly+PJk2a4LLLLsMNN9yApKSkcHRHBAC444478Mgjj2DTpk3YsmULGjVqFO2SiIiIiKgYkMOYQEcMmQI9+aLXdMHuFdjoatFdaOtGf6nq8Qr+bEeo6frzClFstpMpODMFiqqwxP27qk3dttL1pRqFJz//poBbVa9NSKZaTtWfbTsmgYTZNv3bUK2TatvJ+1w4w6FAg71Qlg028DLtZ6a+VdtRF+4FGtrrXv+m50gXmnvVrutH17auXa+Rqqo/oKj2UZs/yATy+lbV57X9bKep3v+8arTpj/ILS9gKAElJSbj99ttx++23h6tJIqNy5cqhU6dOmDt3LubMmcOwlYiIiIiIiIiIoirkL8giiqZu3boBAObMmRPdQoiIiIioyLP5iLntqFb37/LyppFjuhFFcpuqUbDyyC/dKCvduqhGX7rb0a2HaiSU13bQ9eleVlerbjSj3K7pMXe/po8Ou/s0jarUPVemdVTV4/7dXVcwIykDHWEW6Pxe6y3PGwrda8Shex68Roqq+vGqVdWm6vlU/Szvc6p55Frlkdheo8DdfQX6+vAaCepu26YGU9s2+4TqedYd71T1qKbLy7u3q9ex1+v1bnuccreh+9/5We7TXafumCEf01THUtNrRnX8sTk+2Mxj2n6hHieKE4atVKx17doVAPC///0PK1eujHI1RERERFSUyKFHsB9/1IWfpotsOUDRtaMKId3TZXKA4K7HXYNci81Fri5E1U1z1yNfwMvbXA5OTEGK059NAKkLHuSfVcGx1/5h2h6mUFD3uGkdQqF7bgJ9/lX1yTXaBtC2TK9N3bb1qtkr5JT795pf9Zx67Zum0FTeX+XaQwmUvban7rVpE/ibtqVputdzJh8vVaGvTVitm66ryfQcqZZTHQtUx3f5GGM6FqjmUQW1umO9XIccvprWzzZgDZSp3Uj0V1QFdBuB7t27AwDq16+PiRMn5nvMls/nw8yZMwNahkjn/PPPR3x8PE6dOoUXXngBH374YbRLIiIiIqIiQL4IDmZ5hy5ksRn9JYd8uvpUoZZuOWe6rk13AKG6iDeFAHKAofpZV6su6NJd+KvWy3ncdgSVHFjL62BaR1Udunq8QlcVm+dX9zyr1jNQgSwTaB+q8Nrdllf/quUC4RWkqX4O9HfdMUD1GvGiqynYEFxm245N8KmbN5T9w92+zXE50G1sE6o77cjHAN1rU7VOuiBYPgbqjheqWm3a1R2zvF63cmgrT4vE64/OCChsnT17NgDg7LPPLvCYrXD89YvIUa5cOUyePBlXXXUVPvroIzz22GNo1apVtMsiIiIioijTBRK2F4iBhH3un1Uhpc3oJvlnVXAq962r2Wuknm7UlPyzV1vyOgbKK7A0hZRyHbrfVSGGLohV9ataVjWvrj15uk1AL/MKMkPd1502ggnabJ4PuS73PLZ1mmoLlNdz5tWPbl/Q9eU1r+1zafMaCDVvMf1BxXa7qYJMuX15mu4xr7DR/bPuWKXbXvJ2levTrZdq/U3BvM3zZgpuVQGxri6vftx/cAvmOBjqH0lKk4DC1lmzZgEAypYtW+Axomjp06cPzjrrLGzatAmPPfYYpk+fHu2SiIiIiKiQ2IQ3XuGI6mJbddFvusi2vZBWTZfbkUMDXeDovnDWMQUachgczGgv3fJyn6p1cY8C8wrtAg05nWV0wYkuGDeFEF4hkjyPqj9dmBQIr2VU/dgsF+xzrJpXbk8V0tiGdqbXdDDbUA6z3I/bhuZe89nUGUgwqnvtmEJxryBN5t4equfLq37V601Vt02NpmOlajmv7W76I4XXNpSp1tP29a/qT14HUxgtz6vq12v/cD/H7v9tXkc2r1fbx0u6gMJW5/6YXo8RFabY2Fh88skn6NixI37++Wds374d9evXj3ZZRERERBRhpgt73fxeoZ7zuxy+ueczBaOB9idfFOvCSd38cj26dVK1q2rDNlxw96ELr2zrkNmEErr25XZtAhmv+UzbyxTU6GoKVSABu6mmQJiCa6/+A3lMNd0maA8kMAqkL9V8pu0QSD02tZrWMZig2mtkYiCBm+71oHp96tbDFFzr1sndj255r2O06ngrr6PpDy6m45bp+OR1LFUto9t2qvcoUx+6dVOFroH8UUWuwXScDURxD2n5BVlUInTo0AHnnXceTp8+jWeeeSba5RARERFRhOkuNE28LrDleU2BhGoEkk344a7Bqw7TBb2uD9MFqk3IortwNwUsTr+6i2/5MXk7yOulChvc7cvbUNW3V6BhCslttrsufDX16a5Z14+KLrxS9Wtar0CYtp9Xuzb7tqkfr3lU+6L7NWnTf6DbxtSXrsZAAjCbmrxCPnle07Eg2H1Dt229wjX39pKPn6p6VMdJ3R8RVMcDd7uq2nR/oNIFhqr55effvby8jjZ/zFJtE3lfU+1XKqbXqmqbqNY9mPcn0+OBCuS9siiKaNiamZmJyZMn4z//+Q/mzJkTya6I8PjjjwMAfv/99yhXQkREREThpLuA1l18m5ZTTTcFVqr5VKGB6jH5Ilmez1Srrm+5fdP2sgkfTH3L88sX4Krw1CuI0oUnuudSFXrINdnsC6a+TfOp6lHNKwcrtiGcF9X6y9tbVafzs26f0vUVbOBnmsfUpk0Y6BW6qF5/ttvYNK/qtaPa/wNdD908gYR77sfkY4tpH5ePHTYBsM1xyZbqNa+qxbRNdL/LxyPTc2t6PdscG+RjvXuafPxTrav7cdM2VB33de8h8jK69lXhdDDbQa5LV0OoYWmgx8yiIuSwdfLkyWjXrh3eeeedfI+vW7cOLVu2RP/+/TFkyBB0794dAwcODLU7Iq3zzjsPALBhwwYcPnw4ytUQEREREREREVFpE5awdfny5bjooovyPf7QQw/hr7/+QsOGDdG3b1+UL18eH3zwAb+8iCKmcuXKOPvsswEA3377bZSrISIiIqJQyaNnHKGMWnOPPDKNwFONJpVHU8p9qeo3jaCyrdk9TR41aTOKy6Ye3cdVvUaWybW421P1Ly9rGoGqGsEq1xwIr1Fu7t9No3NV87rbCaZW1ag+Zznd6Eib0WK6fUa1vG6kpte+q6vdqz/bdVDVp3o81NFvgY7qlUcFqpa3GUFqM0JR1b97WXkbePWnev2Z1kd1LNQdH0yvFRP5+OE+TutGeHutq3ter1HI8vxe66HahqbjmWn9dMsH8jp0LyO/3nWjS1XPo2oUrW50rO3vpVHIYevy5ctRqVIlNGnSxP/Ynj178NNPP6FevXpYuXIlpk6dim+++QZCCLz++uuhdkmkdcMNNwAAPvvssyhXQkREREShCuSCzfRRRVMI4v7Z5mLcNsRw/+78rAsqdAGS6aOaqqBBFw7LbZg+VuoVkqrWRZ7X9FzI6+313JgCJ1UYYAqETX3q5rUJH+U23D/r+lOtly6Atg2JVWG2O2gy9WkTWOn6Ne0/8n5sWgdTH4GEsjbkfUh+zPnddCzQvY6DqdUmWHXPa9qHQwmeVccM3XrZ7De6GuXXq+64owoknflt91vVfi6/NuT9VDWfe5rt8UC3b5hCbblPr+ON7pjudfz3ej2ajvOBCiY09ppW1IUcth44cAD16tXL99isWbMghED//v2RmJgIALjoootQv359rF27NtQuibR69eoF4Mx9W/Py8qJcDRERERGFQndRZhqho1rWfcHrNWJHF7TIF+LysqqgTtWO1/rII5LcbZuCD3e/thf/pprd9cgX4KbAVhWmegVW7nUMJMCxCa5tQwa5dvlxVWCrC7rldZO3py6skUMfVTik6lPHtP/I66wLu2z3O3k9bR6X+9IFrKZpcq2B0gXRgWxnVZumx0yvHx1VeK6abhuKqV53qn1S7lN+TnQhvqodeTm5fnd/7nZ0rzdVGKw7jsjzmV6Tctu6gFV17LF5bnWvOd0+rdufTO8xqnWy3ad100zvvyamY4tuumnZ4iLksPXUqVPIzc3N99hvv/0Gn8+Hiy++ON/j1atXx549e0LtkkirTZs2KFeuHI4cOYLVq1dHuxwiIiIishBIuOb+39SOV3AjX0i7p8kX66YLcfc0+XFVUKYKN1ShgSk0VQXB8jKqkESuSV5e3k6q0MB0Ia4LOeT65O0pbwNTeOruT/eYV9iio1rOvbz8vy6A1G1n3XKqMEbVv2pZ3T6v27fkOnV1y7U60wMJP2xf16ZAyfnfNsAKpm/dc2QbYKr2G91rSlWrV80262IbYKqeX9Uxy2ud5X3N5jlUtWv7+lbVKM/rFUDK7ejmlY+XumOi7phqeh7k5by2h+l9R3fMV7VlWkfVdpTrl7eXe34V076seu8qiUIOW2vXro3NmzfjxIkT/sdmzJiB2NhYdOnSJd+8R48eRUpKSsB9bN26FRMmTMCdd96J1q1bIzY2Fj6fD6NGjQqq5qVLl+Lf//43unbtiipVqiAuLg7VqlVDz549MW3aNO1ykyZN0p4oOf9mzJgRVE0UHrGxsWjXrh0AYMWKFVGuhoiIiIhs6IKHQAMJ3UWiuw9TSKmbx31Bqwt05BFENqGCLpwx0V1Me/UlTzddiOsek0MNU3CjC2YDDZXd/To/64JMd5um7W0KJ0zL6upQ7S+6YMIUtNiuh7teuU13X/LPuuV17anqCYXN82zqWzddVbMpELJ5zt3b37S/6drQvUZM62DaZ037pm7dVLWonmNTyCqvh+l1bUMXYqqCT91rRrVtTcdFr3p1r0l5m5uOm17z6t5f5GVV+74zj2q/Va2j/Dy711G3fQJ5fdscj1Vhrs16lCSxoTZw6aWX4p133sH999+PwYMH4/PPP8f27dtx2WWXoWzZsv75Tp48iY0bN6J169YB9zF27FiMHTs21FIBAJs3b/aHcQDQoEEDpKWlYcuWLZgxYwZmzJiBW265Be+99x7KlFFn0dWqVUPjxo2V0ypWrBiWOil4LVq0wG+//YZVq1ZFuxQiIiIiMtBd/OkeMz3utCcHeaq+dNPkYMP9mKpNdz26C3pVmKurWdWeHPaY+lNRXeyaatBtH1VQYNqW7nlNIYJNTe75TdtS99x4raNufXXhgalv1XKq/1VU/elCQN062vah2s90y3q9BnT1ydvXa11U/XuFaKq+dPN7Pe41j+61ZxPuyfWGm+q51z3H8v4tB7C6dZcDaN3rS65LXlbVtq4/uW/VMVoO9my2sWl7yX2qllEdz1TbVDWPrh7Va0F+b9IdI1T7nO714XUM8XpNmuqzXU4llNeHavtH8vVmI+Sw9YknnsDUqVMxadIkTJo0CUIIxMXF4emnn8433zfffIOcnBxceOGFAfdRpUoV9OnTB506dULHjh3xzjvv4IsvvgiqXiEEatasiYceeggDBgxAzZo1AQB5eXl444038MADD+D9999Hhw4dcN999ynb6NmzJyZNmhRU/xR5LVu2BADeRoCIiIioiAv0glSeT9eWVyiqujiVH7MJKU396UYX6dryCvBUNamYLvhNoZkqjFS1aRP2edVlU6tpe6vCUvlxr+dPtw66Wm3qMgVKXsu427YJjVRhgtd+5dWuLsz3Wh/dvuMVeNg85/LrVtWnvG6menTL69bLpm5dDfK8um3rVYtNSG2apnuNBrLfq+Y3LSvv06b+TcdPU8BrWh+v/dcd0Aayz3sFw6bfVf14hb5efTtteB2HdWGoO6TW9aH7g4zN+5GuRtW0UAJSVW3RDlxDDlvr1auHRYsW4ZVXXsGmTZtQt25dDBo0qMAI1tmzZ6N169bo27dvwH0MHz483++ffvpp0PXWqVMHmzZtyjfqFgDKlCmD++67D6tXr8abb76JCRMmaMNWKtpatGgBABzZSkRERFSEeF302Fy46UavyG2YQjibET22F8ZyoCO3rQv+dIGDqi7VNjAtqwtUVWGpqS2b4EK1zbwCZdNzpwtcbANdVbu651QXKtiGhqrtpQuCAg1JbMNNrxDO9JzIbXiF6KagxSbMUL02vZ4PE6/A0zSv1zHDFBSa9huv/d/Uhm6a1/6heh51bdkeg21e7zqm17BuedOxQnfs1tXnPKbaHvL8qm0tbz+b4NIm7JQfN9Vn+16oW49gH3e37XV8tF1nmz5t1zkY0QpagTCErQCQlpaG1157zTjPG2+8EY6uQpaYmGic/re//Q1vvvkmNmzYUEgVUbg5YevWrVtx/PhxlCtXLsoVERERUVF2+PDhgG4FtXjxYnTo0CGCFZVMgV6k285jc/FnunCWl9WFpqrfVQGCKXyzvfDThZBefavqNdWu2gZeF8W2daseV4V7XuGsbh1sQxhdyGIKK7yCebkfU0DjVYeqZhNT+GYTkOr2D1MwF8g+oQttnX5N4aZJIMGhTeipC5N0vPZXUwDu1a/p9a1bzhRcml7/unVTLW8KWm2PZV6vU9O6ePGqySY01NUrz6d6/nXBviqMVbUtP6Za1tSPvD6m5111LPX6Y4ypL9162xxPVNz1eb12bQTafySE/AVZDRo0QOvWrXHq1Klw1BN1WVlZAICkpCTtPMuXL0f//v3RvXt3XHnllXj66aexefPmwiqRPFStWhXVqlUDwFsJEBERkbdWrVrhxx9/9JwvLy8PI0aMKPAlsEREREREjpDD1v379yMhIQHx8fHhqCfqPvvsMwAwnkQvW7YMn3zyCWbNmoWvvvoKI0aMQNOmTfHss88WVpnkoWPHjgBgdeFEREREpdvu3bvRs2dP3H///f4/vMs2btyI8847DyNHjkRMTEwhV1j8qUb6BPuxQduRX85jgYwe1I2A9Rox657H6VP38VP3uqs+tquqUV7Oq31TO/IIItVoKFV/phF5pnl0o5S8Rh+a1kMe3Wrqy6Z21Whh3XbxqtM9is+mDhXTc2JaD1vufdT9s/ufPFJNtY+aRtO5a/Z6rXttV7k9p3/3fPI2D2Tkpc1rVzWC0r2tdLWq9gXdOur2ZdXoUNWIYdMI1WBHD6vW0bRPqqaZjleqflV1qY5Nck2qfdjdhrztTNtffl0401X7iGo0rOqf6VioqkeuX14/1TLu2lXHenmkrrxtVO3Ij+neJ1XbQ7UutkI5T9DVFK72bIQctjZq1AhHjhwJQynR9+OPP+LLL78EADzyyCMFpqempuL+++/H3LlzsW/fPmRlZWHp0qUYMGAAcnNzMXz4cIwfP96zn+zsbGRmZub7R+F19dVXAzjzxWxEREREJu+88w7Kly+PN954A+3atcOSJUvyTX/99dfRtm1bLFq0COeccw4WLVoUpUqLL10warrwMV3ImS70Au1f9bjqIl6ebhMQqpY11Si3axOWqAICVYBk6lMXTKguUG2DMedx+fmyDeDc7cpBk1Oj+3/3z6YadaGIzNSXVyii61f1T55P1Z4p5FGtp027cqCq2nd06yg/LrfhnqYKC22CD6/XgSo80oV/ute5Td/uNgJZRlWrrj3Tc2Bz/FC95t2Pq8I51XHDeVx3/LAJ+VRtynTPnTyP/LNqH5P3DdW207Wr2g7O/zbr525DdRxVra/ctlcoabPfqY4RNvusfGxyr4tX36p1lfehYMNN075TnIR8z9abbroJw4YNw8KFC9GpU6dw1BQVO3bswI033ggAuPfee3HRRRcVmOfKK6/ElVdeme+xNm3a4H//+x8qV66MMWPGYPjw4bjllltQoUIFbV+jR4/G008/XeDx1atXo3z58qGtiIedO3dGtP2iIiUlBQCwfv16rFy5stD6LS3bN1q4fSOL2zeyuH0ji9s3sgpr+x47dqxQ+pHddttt6N69O26++Wb8/vvvOO+88/Dkk0/illtuwZ133omffvoJPp8Pjz76KEaOHIm4uLio1Kkyffp0vPrqq1iyZAmys7PRtGlT3HrrrRg0aBDKlAl5XEVY6S7MVOQLOd0FqVcAoXpMdcEu96sKH1V1uB9TXUjr1sl98a1r012HKiCwvSA2PaYKclR9mkIGmS4sUD1nuvXQzSO3q1tWF8bo1lG3X8jL2uw7puVU8+j61dWk69s9XV4/m33Sa33kduWavMIa3f4q92GqQV5GF3CZgi2v/dNr25j2FVPgZhPU6Y47Nkxhsup5VK2jKQRUtSPPKwd/7nm9jlc2Nav2Oa/XoqofVTCpqsGrXd3x3Ou4rnrcJND3Cd2xxtS+7mfdscWm1mACU1X/Xn0G03ahECHKyckRffr0ETVq1BBffvmlyMvLC7VJT7fccosAIEaOHBmW9tLT00Xz5s0FANGtWzeRlZUVcBsZGRkiISFBABBffvmlcd6srCyRkZHh/7dz504BQGRkZAS7CtZWrFgR8T6KgiNHjggAAoA4evRoofVbWrZvtHD7Rha3b2Rx+0YWt29kFdb2zcjIKLRzIpW8vDwxevRokZCQIMqUKSNiY2NFmTJlRMOGDcXvv/8elZpMRo8e7T/fadiwoTjnnHNEmTJlBABxxRVXiNzcXOu2IrHtw3CpETZOLc72cj9mWsb9z/SY3I/pZ6/a5PblafJjXlT162pQLSevp65OU9vh2BdMz53uOTK1pVretG949S+3YzOPV326591Um6kd3fKmx3V92O4bNv90y+pq0L02TM+r175j2s42xwyb14duW9rUq9ufdNtFNZ9X/17TdOtqWg/TOpjqNO0ruuVs9kmvfoNpWzWvajnTdK/nyXZ7mNbd6zkPZJ9T/R5onaZ2bKYFO69NTeE4Jwp5ZGuPHj0ghMDBgwdx9dVXIyUlBY0bN9Z+A7zP58PMmTND7TZsjh07hl69emHNmjVo3749vv76ayQkJATcTnJyMlq0aIElS5Zg06ZNxnkTEhKC6oPspaSkICUlBRkZGdixYweaN28e7ZKIiIioiPP5fLj77rvxww8/YM6cOcjNzUVMTAzGjx9f5L4Ua/78+Xj88cdRpkwZfPjhh7jhhhsAnPki18suuwxff/01Xn31VQwZMqTQawtmVIvtyBXTKBuv0UzuZWw/XqlbXtWPbhShbsSfuy3dSDHdqDDTiD/VKCd5PeQ2VI+Z1lFFrkdVi1efNlTbTLcP6La5vD6q58I0WlauV94/5HpV89psS9V2Ue0nqnX22u/kem22ga4O3bym0Z42xwmv16lct027NuunG8Go23aqPlTroNo3TNvV9Lhp+3u9jnX7oLOfe71ede2otplci+54ZVo/3XbWjSI1Pb9exxt5lK6pJt36yjWbXp+6/lU1ey0TyDYzkfcB03rolvWq13Q8Vc1v07/t+4iptnAKOWydPXt2vt+PHDlivI9VYayUrezsbPTt2xcLFixA8+bNMWPGDOPH/704HynLyckJV4kUgvr162PFihXYvn07w1YiIiLy9Msvv2DgwIHYtWsXqlatihYtWmD27Nm44oorMGTIEDzzzDNF5hYCo0aNghACd955pz9oBYDWrVvj1VdfxY033ojnn38eDz74YKHWHGyYppvuFWbYXrB5Xdx5hUqm0Eg1n65dm6DGVLtX6BNIWOp1oSwvYxNWmAIfr3Z19QVyYa4LYU0/q9pQzWNTv7sGVU1e20TXtleYqHtevYI7Vbuq/VIXaKrWT7cuNkGRKvzTBWemY4PPp/+DitdrRPW4LoCzCcPkvryCQdP2MIVOqudR97zpalIFn7owXtWeKXQ1Tfd6j/A6lrnbMa2f7jFTW6oa5H3MtA42AaiqPXkZ0zSv96xA11v1PmNaL3d7gRx/VMuYQmyb166tUJe3EXLYOmvWrHDUUehycnJw3XXX4ZdffkHDhg3x008/oUqVKkG3l5ubi/Xr1wMA6tSpE64yKQRNmjTBihUrsGLFCvTs2TPa5RAREVERderUKQwdOhTjxo1DXl4e+vTpg3feeQfVqlXD66+/jsceewwvvvgiZsyYgQ8++AAtW7aMar2ZmZn4+eefAQC33357genXXnst7rnnHqSnp2PWrFn429/+Vmi1mS54Q2lPFWqYLvAdummmi0KvsEkXKKv6VoVEcv+qi2mv4Eq3Lu4LUl0ApApLVNtEnl8VxOjmVa2rKhDw6tu0vsFeyHv1qVtOFUTollW1YwoVTAGDvD/oghXVzzJd4Kfq02tbee0rOrp+VPuNLqhVra8pHNOFw3Kbpn1KDiRVNcs/y1QBmG57qbaPzTHPtJ/aBJ+m6aq63I+ZwjlTW7rXgYrt/m0b4preX0zBpKo/d5um5eT6VcdwXa26Zbzew3TPlzwtkPftQI5vujZtjivFVchha9euXcNRR6ESQmDgwIH4+uuvUatWLfz888+oVatWSG2+++67OHLkCGJiYtCtW7fwFEohOe+88/D5559j3rx50S6FiIiIirAOHTpg9erVKFu2LF599VXceeed/mmDBg1Cjx49MGDAACxatAgdO3bEM888g0ceeSRq9S5duhSnTp1CYmIi2rVrV2B6XFwcOnbsiJkzZ2LBggWFGraaLr6CaUtmc4Ft6lt1AahqwxQ0BRJgytNtgwtV3ab2bMIb93qq1tvUt2n7BBqqyuugqstUs1yHKaSV+9A9j14X/LYBhCowlJfThVy6/dcU/Kqm69pzT9MFSqZg1xR46tbXa9/x2td1QbJuXvlxXT267aKqUV5exaYu0z7rtc296lEdo7zq0bWnCw116+K1jl77kinUdddhOg7ojoNe+7kX0+tOVYuqbdN7hW59TMd707bzCoR1/ekes3k9y/3ofvfq14tuu5na8uon1HMUL0XrK0rDaMyYMUhLS0O/fv0KTHvwwQfx0UcfoUqVKvj555/RoEEDz/YyMzNxww03YOHChfkez83NxYQJE/Dggw8CODO6oHbt2uFZCQrJ+eefDwCYN29eifoLCREREYXXqlWr0LlzZyxfvjxf0Opo0qQJ5s2bh3//+9/Izc3F0KFDo1Dl/9m4cSMAoF69eoiNVY+daNiwYb55iYiIiKhwhDyy1W3u3LmYM2cOdu3ahaysLLz77rv+adu2bcOpU6fQpEmToNrt27ev//djx44BAEaPHo0xY8b4H1+6dCnq1q0L4My9Y7dv3460tLR8bc2fPx+vvfYaACApKUl5Qu34/fff/T/n5eXh008/xaefforU1FQ0aNAAsbGx2LhxI44cOQIA6NmzJ8aOHRvw+lFktG3bFgkJCTh48CA2b96Ms846K9olERERURE0cuRIDBs2DGXK6MchxMTEYMSIEejVqxduvvnmQqyuoMOHDwMAKlasqJ3HmebMK8vOzkZ2drb/98zMzLDU5jW6yvYP4LpRee62TSNrdCMFvUZT6h4zjRR1RpKqalL9btOmm81IV10btvWoalKNEjONoDSNptStm2kElTy/XLdplFMgI0R17ZtG7qnWTzdazlSDjmkEqGnUnu55cP9sGvEa6AhN1XaQH/MayWpis6z7NRjIsqr18Bph6u7PdLxRtWszKtKmL7lN1frZjJA0jVx1t2kaeWo6vnq1665HVbPp2C7X4Tyu20fdy8nHa7kmuR5VX17rouI1XbVu7uW8jq+m17xqX1FtG7k/uW6b93ev9wDdeuqW9zp2mo6nXsfaSA/IC0vYumnTJtx4441YvHgxgP97Qtxh64svvoi33noLs2fPxoUXXhhQ+6dPn0Z6enqBx0+cOIETJ074f8/NzfVsy31SuXPnTuzcudOqhnLlyuHFF1/EvHnzsGrVKmzevBknT55E5cqV0bt3b9x888249tprA34DochJSEhA+/btMW/ePMybN49hKxERESm1bt0aeXl5xrDV0alTJyxdurQQqtLLysoCAMTHx2vnSUhIAACcPHlSOX306NF4+umnw16b7oIo0I/6mS6wdMGf6eJYvmDUBUW6Gk0XuPJyuotg2/XXBSW69bANSEwX56r2VfW4L8Ddy+iW1+0LumV19dkEo+7+dUGkLkSQf9dtW6+Q0iaUMFEFR6ZtIf8vh15yvaYwSkUX0OgCQV24F0mBtB/oOuv2bd1xxivk8wqLTMcC3TFMDjnlfcf0GlftH14Boul4retP7sN2um79Vetpei3r+jO9Nk2hpO64a6rF9F5jE/CqjjG2x1qv58w9v3z8UL1eTMc51WOmOkyPq15/4QxIw92eLOTbCOzbtw9du3bFokWL0KFDB4wYMUIZag0cOBBCCHzxxRcB99GtWzf/k2765x7FOmLECAghMHv27KDakjd6XFwcHnnkEUybNg0bN25ERkYGTp06hT179uDbb7/Fddddx6C1CHLfSoCIiIhI5YorrkDNmjVx9913Fzh3VElKSop8UQaJiYkAznyxl44zwEBX67Bhw5CRkeH/ZzsAwcR0LixftHldJDrzeF2A2dYhB57u/3Xn/3KIIT9uCu1UfTl12AS8Nhelpu3jnsf5pwpl5La9Lsrl+t0X0XLYo7rQ1u0jNhfatkzPo+m50m0X97ymQEjuy2a9TfuNPF21fu7n1xQuy3XpwjrV60CuRVejal0K4/pY99qV/9c9f6r91b2NvMJHuYZA9nHVPLr9RXfckF/fqvZs6zVtH1WN7n8m8nFLRV4f1XqrXq9y++7fVcdBVX9yX3I4qKpN97pTvea8to17Oa/3Et2+rAp85fcoXSisWg8Tm/dg07FLtS97HX8jIdJ9hRy2Pvfcc9izZw8GDRqEP/74A08++SSqV69eYL5OnTqhQoUKDL2oUDlh6/z586NcCRERERVVbdu2RXp6Ot5++21ccsklqFOnDoYMGYI///wz2qUped0iwD1Nd6uBhIQEJCcn5/sXaYGGZ14hpW5+U1gkX1ibLuy9QjLVxazcrukiVxeqqS5ITYGSKgxSBYByW7qQRRXeeAVxumm6QNjdl7wO7nVTTdO1YwqBdf2o+tQFqvJjukDZPU0XyurWU67VtE/rnmNVqCrvE7aBiin4U+1XodDtr/I88jTVNleFZrqAR97uqn3eFBLpXnNyfao6VPulu02vUNjEFF6p9jHdvLo2dc+DKoi1CdNU28YUWqr6122fQMNP1etXXm/TPKrjuXua6Tjg9XzJ+6q878ntmI4RuvUysdmvVNO81tHr/d70XuLu2/bxwhBy2Prtt9+iXLlyePnllz1XpGHDhmH5qzmRrfPOOw8AsHLlyrDdi4yIiIhKlj///BPr16/HU089haZNm2L37t149dVX0alTJzRt2hRPP/001q9fH+0y/Ro3bgwA2LFjB3JycpTzbNmyJd+8hSGQsMXmAsgrbPRqUxeMqabbBAHysoEEQu6LbFUgpLuoN/VjGj3kFdLZho6qoEgO4XRhteoxeZ28wkY5INSFVXJ/ulBEFdDI4YUqZDQFeDbbWA6BTM+bKjRVtS3XJIdbgQY7NsGNal53Xbr91eu16CwfSJ+qbSq/jlXPvSmsVAWupufAq155XeV2VeGX6nXm/lm3DVTbUfc61wVxck2qbaDbd03bQW7Pqz5V/6r5Vfu76liuCz9t2tE9H3Jt8vrp9hvVeuqWUa2LvN+b3m9U6yG3ozrGu3+3ed9VbYNAzgfc62pq32Z/sX28MIQctu7atQuNGzf23xfKJCEhwfgXeKJwq1GjBho0aAAhBBYsWBDtcoiIiKiIaty4MZ566imsWbMGS5YswZAhQ1C3bl1s3LgRzzzzDJo3b4727dvjlVdewV9//RXVWtu2bYu4uDhkZWVhyZIlBaafPn0aixYtAgCce+65hV2enynUMwUe7nlUAYPqgtDr4k53wWYT4rrrNbWr68v2IlBeV9U/ORxx/6wLCWzCCrkeVUCl+l23zrpwwyvgUvUhByGqgFAXOqn2Ia82deun425TXl5+/k3tyG2qnhdVbTJT4KF6XlQBni70MfWnC4fd20YXGqnaMAWK7pp0+6RXWGhqV7VP6l5/unrkx037nOm17W5D3naqY5/8mrDZ5+TXhlyX/E+eJi8rbzdTf7ptp9pe8v4RyLFF3g/kbal63cjHFnmd5OXc66B6Ht0/69ZDt/1s36vkdVC1baI6bpmWN+3LpnMAU7te2664CDlsLV++PA4cOGA1744dO1C5cuVQuyQKiDO6lWErERER2WjTpg1efPFFbNu2Db/99hvuuusuVKlSBUuXLsWjjz6KBg0aRLW+5ORkXHrppQCQ7wtpHVOmTEFmZiYqV66Mbt26FWptugsjr9A12D6c323bUQUhqpBB5hXw2oS9chjlFWapLjZ1oaluOa8LZl2IYVoPVaioCiScn3WBgtyG3I88jy6AlutSXfjbhDKmbasLFHRBjC5MUvWrqkMVAOmWU4VRpnnd/6va0a23LvwxPVeq4EYX7jrT5HV312kKYVT7g+659HqOdf2r2pdDx0DCTfc666bJ6+p+3D1Nd4yyqcNdv9ex1OvY47U/6PZt0/FDnk9Vr6ptuQ7Ta0TeH1XbVfW6Vm1DU9vyNpSXsdn+umOYbn6v5U2hr+3+7fV+ZlOraT7ddrFtK9RlghFy2Nq2bVvs3r0bK1euNM43Z84c7N27F507dw61S6KAtGvXDgCwfPnyKFdCRERExU2XLl3wxhtv4M8//8Tll18OIQTy8vKiXRaeeOIJ+Hw+vPPOO/+PvfuOr/H8/wf+OtkyhYgZYm8qVomWKkXNoi06qGpLtUZrVKlRWj6UolvtGqVVVOlCVK3axCxqxCYyhOyc3x/5nvM7uXNd932flZPxej4eeUjOfd/X9b7HOXJeuc51Y/Xq1ebHjx07hnfeeQcAMGbMGHh5ebmqRADicMfaNzqiN8lawaasDlmYIAoIZLUo31TK3mRbtqN80yraP1n/sjfmskDA8mdln7LjIAqzZNTe9KrVLVpf9Jhyv/QcW+U5kF1joqDOsg1Zf2r7Irp2bAl8LJeL2hcFiFrPK7VjLKpVLTwUhaPKOkT7IfpXz3NA2ZdagKrcP2V7ooBOb+Ck3F70pXYs1B5XuwZEIahov5Tbib4X9Sk7TjJ6z7/smlS+Nqhdx2rPP1EwKlpmeZ6VX6Ia9JI9d2V1Ko+x8lwqA2NlnVohp7J/tfNras+yTdlrtmUbym1Ffar9/6w8Zlr/x1jDkW05mt1h66uvvgqj0YiBAwfixo0bwnUuXLiAgQMHwmAw4LXXXrO3SyKrNGzYEABw9OhR1xZCREREBUpCQgKWLFmC9u3bo3Llyvj9998ByG86lZciIyMxdepUZGVloV+/fqhatSoaNmyIiIgI3Lp1C507d8a7777r6jKJiIiIihwPexvo06cPfvrpJ/z444+oU6cOOnTogCtXrgAAJk6ciBMnTmDLli1IS0vDSy+9hI4dO9pdNJE16tevDyA79E9JSYGPj4+LKyIiIqL8KiUlBT///DNWr16N3377DWlpaTAajShWrBi6du2Kfv36oVOnTq4uE0D26NaGDRvi008/xaFDh3Dz5k3Ur18fr7zyCt566y24u7u7pC610afWjkKxHPEk2165TDbKyvSzaBSn7COUyn5E68lGeekZEWjZhmx0obIt5Wg/0chE2T7I6lCOnhKNxJKNqBXts7If2SgrUW2i9dWOnWh75fein2VE+yk6Hpbtyo6DNfWrjaoUtSm7FmUjGi3bkJGNeJOdF2U/sueb2ug5Ze3Ka0i0rahd5T7I6pEdH63ngKxt2XFRHhO1x2T7IqO2/6J+RPuv7F+rbdF1Z8trvXJ75ffK0aGi1xbRz8o+9R4jrdd+tf0QtSN6vVRuI9sX2XNcVoPaOVK2rfa6oUb0/NWqR+vcaPWj9n+6I+TVaFi7w1YAWLVqFapWrYq5c+di7dq15sc/+ugjGI1GeHl5YcyYMfjoo48c0R2RVUJDQ+Hv74+kpCRcvnwZNWvWdHVJRERElI9kZGTg999/x+rVq/Hzzz/jwYMHMBqN8PDwQIcOHdCvXz8888wz8PPzc3WpuXTp0gVdunRxdRk5OPKNjOyNntqbfFlNWiGKWg2yn0WBqFb/shpkQaWe9mTL1AI5vaGpGrXQRRRQiY6B2pt3WTCutW96axfVrRbSyMIfPYGo1jWmNzizdplaDaJ90AqstY67nkBX7XG18yyrTRbgadUj+qODsm9Zv9aEULI69AbwWsdbeS0rn+OidWX7ZNmGrBbZvojCRsv21Wi1K7oG1J6PaqGt7DyLapLVo/aYntddtUBSVLvoWtX7+mLZplaQbO3/HaL9Vns91xsca61fEDgkbPXw8MD06dPx7rvvYsuWLYiOjkZCQgL8/f1Rp04ddO7cGWXLlnVEV0RWMxgMqFKlCo4fP47//vuPYSsRERHlUKZMGcTFxZnfRLRs2RL9+vXDc889x5u7OpAtb5zU3gyqrSPr29aw1nJdrTeMolFFymW2vomUhRiy/dEbOinX1Qor1LZVBjayY65nxJWsfmvfsMuWy8JELdaExtY8LgrMtPZBVpsoVFO7/rUCIz3hv1ooqta+7Nzb+jxRu+ZkIaXlPsrCRuW+KfdRti+i9Sz7sTYAFa2n9ZjycXuCdlFYqTdg1RPWypZZ9ikK9WT1i17bZKGgnuteVqusTuV+6/1/Qe35IbpuZK+9yj5lIbPWPin3xZEBaV5vlxccEraahISE4OWXX3Zkk0QOYRm2EhEREVm6d+8e6tevj379+qFv376oWLGiq0sqVERvbLWCFiU9oZNakCJ786w3uNXTluiNr/JNryyoUXvDrEbPsZO1pxVsyN6kywJCU5tqAY+yHlm7avtk7Rtr2fqycyc6v1ohrdr1phaoqtWqFgrpCRPViNZXC/6UNYn2Qyt4Ubue1MJQPbSCNbXjJFpfq13Z/sr200TP9SFqT+0PFWrHSXataQXJateB2jlVuwZkx9xyP/XUYEvAJ2pDdJ5lIaRoO60/Hlg+btpWLcyUXXdqQaxWOCvbVq0NZf9a/yfquQaUNYi+Fx0ba17L8iOHhq1E+ZVpNOv+/fsxdOhQF1dDRERE+cmJEydQp04dV5dRaOkJlWxtSy00Ea0vC3JEb0plI5P0hg3KN49qgYBsXa3gy7JvWR2ibZTbqQV7ymMg2la2j1rrq62nto4tb/BF/auFF2qhvKgPa+qS7ZtaH5br6rm+RdtrBapqdSifB7LnotZzW2+wqhYyitrWE4yrXeNqNSvb1wohta53a0NXWciqp03Rtav2uqLWrtr5snxcFuKL6A2OZbTOhWi/1F7n1P5wotw/rSBVtr1yvy37Fi1Tfi+qV7mPsv/jlK8dsmtJ61iI2PJ6J7pe7GHta68zuTmqodTUVCxbtgz9+vVDkyZNULNmTTRp0gT9+vXD0qVLkZKS4qiuiKz29NNPAwA2bdqEzMxMF1dDRERE+QmD1oLHMvQ0fW/5ZS1RmCh6A225XNSPLDBVW09tXdE+Wi4TBSHK9i33Q9mOMtCVHTut/dLzBletDrX1ldtZ7rtomWUdeoMu5Xai70X7rBa8i/pVHjtluKJWo1pIqDw2eq47tfOtvM7VQhzlNrI+lX1ZnjfZtsrnoPI86NlntRq1rj/Zc0zt+IjqVPYn2gdZPbLniSik0hs6Kp/vyv207ENZm+h8aj3fRM9RUR/WvP4pt1E7drLzYbmOLIxULpddc7JrwHKZLNgUnRNRnaLH1J4fsnZk/48pX2+V15bW/0Nafao9X5Tr2/L/uLJWV3PIyNY9e/bgxRdfxOXLl3MdqMOHD2PNmjWYMmUKVqxYgcjISEd0SWSVyMhIeHt7Iy4uDleuXEHlypVdXRIRERERWUkUgioDAbXwULlMLVxTbqNWk1YbSrKa9a6vfFz2RlzUhiiAsXxTLapHa7/UQhbZz8r+tPZHuY0riGoVLVcGMqb11UIGWeiodm5FtVgThGoFpKL1RNeG7GdRQCmqQet8ykI42bZqgbqedvVSC1MdUY/yMVn4ac3riehcqj0vRc9JreMm+t4ybJO9/qg9v2TBpey1XOuPArLXUbXwVLnPoute7TklCjJFgako0FbWZ1mT6Dkoe221bEu0raxu5T5a81wR1aD2nLD2eal2TbmS3WHryZMn0b59eyQnJ6NMmTIYNGgQateujdKlS+P27ds4ffo0Fi1ahMuXL+Opp57CP//8g3r16jmidiLd3N3dUaVKFZw+fRrnz59n2EpERERUAOkNM2XriIIJtXW1lukd0SN63LJdvSGc8g2yLHC2bEc0EktP+KMnyNWzb8q2LL/XCkRkj+kJYkT9aREFH6JlauGfqB49IY5aeCvaN1lwIapTLQTUcw1o7b9asKMnlFHbd73hnKgey7as2U52HtWOq2W9ojBNuU+y/ZYdA1H9omta7foQtaHWvnJb2Tpax1W5rWwftWpRo6dO5X7rbUutfeVy2eufMpxVLtPTh2wd2fUkev6I/g9Re72VnRPTv7aEmrLnh6wtrddGa6+VvGJ32DphwgQkJyfjxRdfxKJFi+Dp6SlcZ9CgQfjuu+8wceJE/PTTT/Z2S2S1atWqmcPW9u3bu7ocIiIiIiIiIiIqZOyes3Xnzp0IDAzEggULhEErAHh6euKbb75BYGAgduzYYW+XRDapVq0aAODIkSMuroSIiIiIHEU5wlM5ok02QtU0ukk5uktJbRSj5Zdlf7JRTKJ21dqx3CfRyEblCC3RaB9Ru6KRXbJRTrIRcsptlcdGtr5o5J9sHdFxFD2u3C+1kV6ifmUjF0XHQTZqUjQ6TXQulMtEZP2LRlYq91t0LYuuE7VRYHquKz20zp2eY2DtcZKtJzv2aq8Rou2VIwJFo2G1Rrgq2zMtV9Yja9NyfWv235oRgGrPddH2Ws9pa2sVvaaLXrvU+lLbT9Fri55zb/mv7FxZLpM9F9X6F70+W+6P8v8t2fNb+bPoetRzfER9qW0r6le5D8p91kvPaNz8wu6wNS0tDTVr1oSPj4/qej4+PqhZsybS09Pt7ZLIJqabZK1evRoPHjxwcTVEREREZKIWUOoJLfW+yZe9ATW1I3pTr/ZGUdmW8k2k7E2lVlhgTZhg2b/sMWW7WstEbcpCHuUxU6tN9CZdFg6Kvrd8THas9bwRV9Zmy/VjTb2iY2C5rii4EgW6onX1XGPKdvQEJbI+rFlH9NxUPq+sCeZkrxHKZVohm6xG2TpKatewWo16iF53ZOvorV10bJTXlOy6UvYjCvVkobKsHstlyrDasn+9YaioTln/ovOmdu0oz6fW80r0WqcMNmX/pyivIT3Xu3If1F7/tF53ZeurtatG9npfVNgdttauXRtXr17VtW5MTAzq1q1rb5dENnnyySdRrlw5JCUl4fDhw64uh4iIiIj+j9pIGa0gStSO8mfl6CNZn7LQRG/4IntTLQs5RW+utYI40bZ6RhqpvblWC/dENaiFnbJtRH1q1as8bqKgSK1NWfAkC6vUQiXTY6JQ3XKZsl7RtaesTRSWiEJJ0XkR7aPsuKqFSGpEAbtoe73hjVqNettTrqc8d3q2ldWvFqhpUbu2tI6P8mfRHwXUXg9EzynZsdF67mnto9pzSxZOioJL5Wus6LVIz/Usq0X22qtcR1SLrF3lOsqgWc+1rfb/hHId0WuFrD3l8Rbtv/I1Tu31X3aetVjz2mBNW3qPb35gd9g6YsQI3LhxA/PmzVNdb/78+bh58yZGjBhhb5dENjEYDGjWrBkA4MCBAy6uhoiIiIispRaGWK4jGpGj9w2kMiwRBXDKsEk2yshymYyyHz1vpPUEENaEKWrBoyw4sWRNyKZG9KZfeV7U+tZbr7X0tmN57EXnVRYai/ZNdj1qBeF6QlSt55FaH7JrTysIl7HlOrXsU1aPWo3KevW8roj2TXk+baUWoJn+lV0fomtItk+y1z3R65We1y9ZoGzra4/WHw5kIb/a+VcG1XrOt/I1X+u5qadWtf8zlNuKahXts9prvSgA1vNaIapPbT/1smYbUShfENl9g6x+/frh2rVrGDt2LP766y+8+eabqF27NkJDQ3Hnzh2cPn0aX375JTZv3oyZM2eiT58+jqibyCZNmjTBhg0bcPDgQVeXQkRERERWEr1ZFL15V35vzZtzJVGYp7a9WiAqqke5njKEk9WuFqZY1qkMBmSBi2gbUb8iskBH2absDbsoNLAmWNdzjpSBi1qAYrm+cp/0EAUFsmtGLXBR1qFcR3SOZX0p+7V1uez4WfYtumZltWrR+sOCnmBZz/NdT2CqFjprhdBqfWqF11pBq+X3aqGisj09r1Fqx17rexlZ26LnsnIbrTZltYqe37LXO63XP9Hrgtq1rfWaLltX1r+pb9m5Unst02pX63HL/mXr2fvHB1uem/mR3WGru7u7+fuNGzdi48aN0nXHjh2LsWPH5nrcYDAgIyPD3lKINDVt2hQAR7YSERERFQayN9FqIZYtfZja1XrTJ3rTrvbmWW3EmGg9WbAoqkMtwFSrS1aTWmglOuay4Nea4yfrVxYM6w1rZdtZtqsWfKoFHcr1Zfsg2m89oaBomeh6kR0LRwUX1tSsdj3KatEKx/X0pWcfHHksRGTBnOW/orb0nHfZY2p/KFC7TvVcR7JQUStslj1PletYE96pXVdar2PKQFpUmyzMtoYsKJe9xsuI/uiifK0S/d+gfC3Teg3Tc01qnQ9bn1N6/zBSUNgdtjpixwvqwaOCp0mTJgCA8+fPIy4uDsHBwS6uiIiIiIisJXtzqDdgtTdkkQUHsjfqsiDB2uBRuZ3W6DqtgEdPkCwKrmVhi9p2otF4avuiRe08q9Wltz3RCEDReXTm+2Gt0Wt6rytHv9/WEw6J1pfVpfUHEmsCOLV9t/a46A2U9Rxf5XNN+ZiefizrsjxeeoNOPfur51pUa0sWCtrTploAqOc60HptEb0OykJitT/uaPVh2abyDyDKOmS1WT4uWl9Zl2V9ylr1Xhd5ldcVtlzQ7jlbs7KyHPJFlBdKlCiBKlWqAAAOHTrk4mqIiIiIyJFkbz5F65nevMpCQLU3t8qQV/ZmXy2YVBt9JWvLcntZraI33sqgVPml9sbdcjtRm3qCIuWx0huoqREdQ9n3avWJzovyZ63wSLSNnuBfGXqIrjlZraKQTe/1pBZ+6W1LWY8WawJJve2p1ShaZk1AbOrDkQGQ5XNN7TmhJ/xSu76Uz3dRm8qwUrSO6PmpFW6KXlst2xc9P0ztWvO6KKpZ1q4y4BSFm6I/rlj2I+pf9H+IqH5lsKqsXfR/hShkVW6ntsxy/5Rtaj13LGsWPW5NKF6U2R22EhU0nEqAiIiIqGDTEx7obcOWsErZr+gNt2U/av3L3qjLRidphaKiGiy3V/avFkxo7YdWraLvLdvTqlMUDCvbUDu+sqBJVLNoXb1Bi97QWBYA6wnaREGwKByThT1q58qyPWvOqS3PFxFbQxo929lao559VQvWRGSvWXq21Tr3svWtCcaUYaTa89a0XLSu1rWjDAwtX4vUXtuVfVr+rHz+Kvdf9lovCj5F+64MKJX9yZ67asdSuZ7ec6r8Xvm6r/baKwp81V5bRG3pfe5r1VLYMWylIsc0lQBvkkVERERERERERI5kd9iamJiI48eP49q1a7mW/fTTT+jUqRMaNmyIgQMH4urVq/Z2R2Q3jmwlIiIiKnxEH6m1ZvSdbFSj1igvtdFYso+YykZLikaZWo480vPxT619NP0rGnEk+iirntGlyvr0jLoV7Z+oTuWXaMSe7LhaM2JS7yhRU3+y825Zt/LakY0aFhFtK9p/tdF2snrURvrqPWaiUYSWdcj2U2u0m9q2atvo2R+tkaWi7U3fi/ZVdqz10rOt2r7JlovWkb2OiZ6/stdSZduiEaGW6+gZ8a31Gqt8XoteE0XnVe3aVKPsz/LYyV7j1epR+39J+VooGjmqNnJW7fVH+b2oTeVri9r2luvJ+lUeG73XQGFld9g6Z84cNGrUCL///nuOx5ctW4Znn30Wv//+O6Kjo7F06VJERkYiMTHR3i6J7BIREQGDwYCYmBjcunXL1eUQERERkYPJ3kRqrS9iGUBYE3Qq35Sq1SF7061sS/SYLGwThZuyIEEUFqgFmLLwRta/LDyVnSetwE0WRCqXq22jZ5laaGoNWWChJ+zTCuSsCROtCRtlNWmFf6afRaGM8vpS21arDq361c63rG7R9tZso9xeb6Au+lkUtimfE8pQUbS9MvSSBZNaQa/e11GtcyJ7nmqFosq2Za8xsn6VRK+PpseVwbPaa5VoP9T2S+16V/Zp+bNa/bJjokXP/0laZOsVtWBVxO6w9c8//4S7uzuee+65HI9PnjwZAPDee+9hw4YNeOKJJ3D16lV8+eWX9nZJZJeAgADUqlULAKcSICIiIiqM7AnDZNTe0CvDTNkbXtEyZRApCxmsDcZE4YCsLlGooIfWCCq10MG0jexxUc2ygE4WmIjCIrXgQu28KevVClVkfYmW6wkN7WFNICLrTxm+i9rUqlUtGBatq/f46Tmn1tLaTu04mbbX+gOA1nJZm6IAVtmfrftvzTmSBaCy1zDZHwq0zp/WH0hk17EoBLWsUStQVx5ftQBf+QcGWSirFtoq+9Tz/BK9hmiFz0qi/vQ8/9TWc8TrVkFnd9h66dIllCtXDv7+/ubHDh8+jMuXL+OJJ57Axx9/jG7dumHt2rXw9PTEunXr7O2SyG6mqQQYthIREREVLba8CdQaMSR7c60WTClHZSnDANEoJ1ltWjWbyEIPUXtqwYky8NET7KgFuZZv9vWMplPuh/IYyUJZy21F31vun2wby9qU59CyHeX2sv1Qq9NymSwcUgvjRedIqybZOVfWqXa9i+Rl+GJPX3rPn1pgZ0uwbc1zXPnHHa2+ZduqBZWi9UV1ia4XtfBUVIvsMVHILHruy+rU26dyv0Vt6QkwRcfNktbrpCg4Vwu/ZeGv7PjLXkv0Bqtq9NRQ1NgdtsbGxqJMmTI5Hvvrr79gMBjQo0cP82MlS5ZEjRo1cPnyZXu7JLKb6SZZu3btcnElRERERJSX7H0TqBx5pPbm3ZY+laOfRP2IQi7lKDm1gEQrZJGFMVqjwtTCCdn61o6gEgUvsnVFtckCQ60gRG251ug7PSGatedYjez86wmyLZeJwh9lH3pZGwrqXUdPX7ZsKztWynOkXGbNedJzDmTLtAI5reeG3vOvfL6ZHpfVak0AbbmtLLwXPS/0BLyiP8TI/jij7E+2vXJd0TI9dcn+71C2pRYWW54LtfOpfE0XLVPrTy+Gq7nZHbZ6eXnh3r17OR7buXMnAODxxx/P8XixYsXw4MEDe7skslunTp0AANu2beMfAIiIiIhIc7STJdEbbWsDV9EbXcs3+LJwUFaj6U23bKSYMkBR9mnZvihgUbalFeqIalYLHtT2S9SPVgio3E5Zh2g9WTtaQYJWkKRnG7UQTOv4is6j6Bw5MhCxJlSUbe+IdURk51S2ruw5bm1N1pxvrfq09kHtDyrWhr6y54Hs+aonCJb98UDtOIjq1gpGRduqvTaJlilf65Svw1qvEcr+lfshC4JFy7SIQmNRbZY1ieqx9/lL2uwOW2vVqoULFy7g33//BQDExcXhzz//RMmSJdGgQYMc616/fh2hoaH2dklkt2rVquHxxx+H0WjEL7/84upyiIiIiMjFZKGd3m2teeOqDDyV/cmCU8vtLf9VPi6rRzYqzHJ7PaGxbJSU7E28qF5RcCsLWkS1qwW1am0qj5FaIKL3vGodV9k2jlpXFESrjZgzraPWhtZ2ekNyvcusOXZaRH+0UFvXltBJb72iP5pY9q0V9qqFvnrOq2iZKFTUe/3qDZRltenZZ71k64v+uGAZ/mq9Tqq9vil/lr22KB9TozdYt6QW4Ko9RnnH7rD1hRdegNFoxFNPPYVRo0ahbdu2SE5OxosvvphjvcuXL+PatWuoWbOmvV0SOYRpdOsff/zh4kqIiIiIKL+xZfSPMvAS/au1nWjUk57w0HJ9WeihFvyIarfc3rINWTijVYslUZt6qI0K09OO1r7LqI1ws+zbMkzSWt+aPq0hO/aia1IUeusJVPU8N7SCcFHNttIb4FlzPPWE+Vrry/6Io3wuWluXchtRwKhcx3KUo6hPW2qx7EctGBbVo9xO7XqVfa/cJ1HbomBUFPqK/gAm+39AK3TWOh+WrxWyPw6I1lXrS9SPVq2i9sgx7A5b33rrLfTs2RNXrlzBnDlzcOzYMTRr1gyTJk3Ksd53330HAGjXrp29XRI5xFNPPQUA2L59O9LS0lxcDRERERERERERFXQe9jbg7u6OH3/8EYcPH8a5c+cQFhaGFi1a5ErEq1Spgk8//RS9e/e2t0sih3jkkUcQEhKCu3fvYu/evWjdurWrSyIiIiKiAkw26lI5wklrZJ/WSFTRSC3L9ZXfW/5sOdrLsj/l47KRd7IRVsqRYso21T6mrDXSTraPysf0jnRV1qM2Ok6tHdlyaz7iqzUiUO2jxWofNdd7jYna1duGrCY9HzVXOy96qB1ztRGP1pxHayhHaOo5p2qjxNXa0brO1eqwZltRW3rOn+zaFI2s1RrNqaxL7TFrXnu0RnDK6hL9rDyHonMse26ojfpV+z9EVK/az3rYc/1TbnaHrSYRERGIiIiQLu/Xr5+juiJyCDc3N7Rv3x6rV6/GH3/8wbCViIiIiDQp35Ba+yZY1J6sD7UgQitIUQtR1AITUfAp61etHcvHRYGCLHixXEcrGFa2Ketfz+P2BBn2BhR6wjlrAkytn225XrXOtWyZPUGgGj11WHtelLXpfe6KgkG9zzG10E8rvJU9v2T7L7oO9H5sXO2YqgXNasG3ZU0iWtec3j+maNWtFfAqiV4jTY/LatZzLYra1dp3R4ajDFody+5pBIgKsg4dOgAAtmzZ4uJKiIiIiKggcFTQZgpatEY7aYUEekaLKgNWtbBHVJcoSJIFnsr9EY0AU478UvYtOw7KdrX6VO67KBzRe/7URrnJ1tPTnqgGWYijdq7Vrhm1c648RjLKNpT16rkORY9btqGX3pq12pCxJoSUtaXn2rJ8Pmitp5facRU997QCWRG1c6n2xxFR8C77ku2PZQ2ya1p0/iyvGb2vA7L1ZY9p1av3eWfLNeGI1yRyLKtGtu7cuRMA4OvriyZNmuR4zBqPP/641dsQOcPTTz8NDw8PHD16FCdOnEC9evVcXRIRERERFVBaIxAtaY1aEy2TjWDTW49y1JtWQGHaRlmvVp/KekVhi+hnrfaU7cr61DtyT7RvWgGy1vnS065oO1lgJTs+tgZ01l5Detq2ZtSeJT3nX29beujtT+9zUmufrKnLXmphn+xakgWgou+Vo0DVXluU+6TsR1arNYG8ZZvK57naa5byj0XKukTHRNSW2nNAVLeyX2v+yGNvIG/r84XsY1XY2qZNGxgMBtSsWROnTp3K8ZheBoMBGRkZ1lVJ5CSlSpVChw4dsHnzZmzZsoVhKxFRPtCmTRv89ddfaN26NXbs2OHqcoiIdHNEcGUiG3WmDEzUwk1ZGCIKDCwf0wo9lNuItpUFIKJtrQk9RPui3C9lMKRcT7RfauGR3lBY7XyptSM6L2oBsLVBvSz8teZ6tTWYFbVjqkVvGG1vf7JzJ+tX7Xmip05r90fvOVQLP9XCdWvDXK369QSPan8sUHtOaL0O6Qlc1epRC5ct90ntuFr7Gil6LVPup9p1qIczn0NkG6vC1scffxwGgwEVK1bM9RhRQfXYY49h8+bNOHDggKtLIaIi5MGDB1i5ciU2btyIY8eO4e7du/Dw8EBoaChKly6Nhg0bok2bNmjdujXKli3r6nKJiMgBrBnxKBslpmxP9gZeuVwZMJhGWZl+1go6ZAGdLFQRBZ6y4EcW2qqFFKI2ZaGN7Hgp25H9LNtnZa3K5cpjond0mlbYrFaXVril/FkrrJO1YStrQiW9wbK1/elZpme5WhhrzchOPdeq7Byq/TFC7Y8uslGhsuBS67pSO4dKotcitX1U+4OS5fdqx0LUliywFp0rZf96wlW19a0N8LXoCd4pb1kVtopGl3DECRV0zZo1AwDs2bPHpr/8ERFZa//+/Xj++edx6dKlHI+npqbi4sWLuHjxIvbt24dvvvkGpUuXxs2bN3O10YajP/OlHTt24IknngAAREVFoU2bNk7tb+nSpXjllVcAABcvXkR4eLhT+yMi+6i94bZmO+XjesIatfBGbQSqclSYcplauKpVv2w/lDWr/X6ut3a1OtRG0Cq3k4XIsv1RC9pkoapaoKMWwsrOhZ7AUSvM1AqA7RlZp2dkn7XnzlbWtGdNkCu7xmXtOPpYKpdp/TFBKzS29Q8Bln/kEa0req5p/XFAVo+1x0ItENfTpmUtym1kdeq93vRsx5A1f7EqbCUqjB599FH4+vri+vXrOHLkCCIiIlxdEhEVYufPn0f79u2RmJgIAOjWrRt69+6NGjVqwMvLC3fv3sWxY8fw559/IioqysXVEhFRfqQnCND7Bl65rizwFG0nGhlrGVaIQlpRW2rhhOlf2egzUfApGwkn2y+10XJK1hxfvevqCa+UdauFS7J+1c63nqBVbT1XBT2O7tea9mwZSSgLzNTaEoXnatenbKSnVp1aAZ7l81n2BwjZNaesT/m9aH21cFc0QlXUjtZIU1v2RWsba/5IYss50bMduZ7dYeu1a9fwxx9/4MCBA7h9+zbu37+PwMBAhIaGolmzZnjqqaf48UfK14oVK4YOHTpg/fr1+PXXXxm2EpFTjR8/3hy0Ll682Dwq0VL79u0xatQo3LlzB2vXrs3rEomIiIiIiMhGNoet9+/fx4gRI7BixQrzDa+U6f7XX38NT09P9O/fH7Nnz4a/v7/9FRM5QZs2bbB+/Xrs2bPH1aUQUSGWmZmJX375BQDQpEkTYdBqqVSpUhg6dGhelEZERAWA1og10yhRPSOhZKOz1EaCitqSjSAzrScb7arnI+KivvWOHhONqlWOxFUjGnWnNiJU7yhF2fHVOnbK7W0d7WbLR4+t/Si1tSM+bRmlZ+vHr22lZ9Sn3hHKep8DstGYovXVrm2950PPSGzTPipHO2tNPaCsRUk2ZYDaa50WUa2W7cpGDMuOgex1VnTc1Eb9axGdS45kLXjcbNno3r17ePTRR7F06VKkp6ejbNmy6NmzJ0aMGIHx48dj+PDh6NGjB0qXLo20tDQsXLgQLVu2RHx8vIPLJ3KMli1bAgD27t2LrKwsF1dDRIXVnTt38PDhQwBAtWrVbGpjwIABMBgM+OuvvwAAf/31l/mXPtOXbN7Ohw8fYu7cuXjiiSdQunRpeHl5ITQ0FE899RSWLFmCzMxMab9paWnYtGkT3nrrLTRt2hTBwcHw9PREyZIl0bx5c0yePBl3797VtQ979+5F7969UaZMGfj4+KBy5cp4/fXXcfbsWdXtevbsCYPBgODgYKSkpKium5GRgTJlysBgMOCpp57SVZfS9u3b0bdvX1SuXBnFihWDr68vwsPD8eijj2LUqFHYvn27ed1Lly7BYDCY52sFgCeeeCLXuVm6dGmOPk6cOIFp06ahQ4cOqFChAry9veHv74/q1aujf//+2Ldvn7C2HTt2wGAw5AjsK1eunKs/2Xy+f/75J1588UXzvgUGBqJhw4YYM2YMbty4YdPxIiLn0xOWKN/wK79kbVkGE5Zt6X2zb02wpgwoLYNRtZDXsh/RPonWs9wPy+BDbRvZMRAtE4U5sjBXefy1+tMTaOp9XLaO7BjqaUdGz/7bw5rgShY8WkvtutGzXHbuRetZ80cBPW1a046yDtEfSJTXvuU2lutZPqasRS1ElbVpWY/suWm5vey6FoXE1jzn9P6xRitM17stFVBGG/Tu3dtoMBiM5cqVM27YsMGYlZUlXC8rK8u4bt06Y7ly5Yxubm7GPn362NJdoZeQkGAEYExISHB6X8ePH3d6HwVRWlqa0dfX1wjAeOrUKZvb4fF1Lh5f5+Lxda7jx48bY2NjjQCMAIwNGza0qZ3+/fub25B9VapUKdd2+/fvN5YvX151u2bNmhlv3rxpc78lS5Y07tq1S7X+Tz75xOjm5ibc3s/Pz7hlyxZj69atjQCMrVu3zrHt5s2bzeuuXr06xzLl9btx40bpunqMHDlS1/6aXLx4UXN9AMYlS5aYt4mKitK1zXvvvZerPr3bRkVF5dguKSnJ+Mwzz6hu4+/vb9y0aZPq8XWWvPydiHLisSdLytcFrXUt/xUtE/0s+96attX6VNsHtX1S22c9x0OtXa1lotdkWd9qx8aRdevpS2/b9tSQV6yp0fK4OvsY6Ll+ZN9bU6fouaL2/JO1q/a8k13Lav0p+xQ9T9Se79a+nlHR5ojfiayeRuD06dNYt24dSpUqhX379iEsLEy6rsFgQM+ePdG4cWM0bdoUa9euxeTJk1GzZk1ruyVyKk9PTzRr1gw7duxAVFQUateu7eqSiKgQKlGiBCpVqoTLly/j2LFj+N///ofRo0fDzU3/B00++ugjjBo1Cq+88goOHjyIJk2aYMmSJTnW8fLyyvFzdHQ0nnjiCTx48AChoaEYMmQIHnvsMZQsWRK3b9/Gzz//jG+++Qb79+9H9+7d8ffff8PT0zNHGxkZGahSpQqeeeYZNGvWDBUrVoSHhwcuX76MrVu3YvHixYiNjcUzzzyDEydOIDQ0NFft69atw6hRowAAQUFBGDt2LNq0aQMgexTpzJkz0a9fP5QqVUq47x07dkRYWBhiYmKwZMkS9OnTR3qcTMckODgYzzzzjPpBVfjll1/w6aefAgAaNGiAIUOGoHbt2ggKCkJCQgLOnDmDP//8E3v37jVvU758eURHR+PAgQMYOHAggOw5eZs2bZqj7QoVKpi/z8jIgJ+fHzp37oy2bduiVq1aCAwMxO3bt3Hy5EnMnz8fly9fxowZM1CjRo0co1ibNm2K6OhobNy4ERMmTAAA/P777yhXrlyO/ipXrmz+PjMzE127dkVUVBQMBgP69OmDnj17onLlykhPT8f+/fsxe/ZsXLlyBb169cKePXvQuHFjq44dEeVfso/SihiN4o/Tqn0cV7Rc1r6yD1GtynX0jAwUtWdaT1mrbDu1dWR9mrbR2l/ZtqZlerZX+2i57CPQan3roVafqB1r6rCFNX1aS8+5tFxX9L3ebQD1j7SL6pIt01uT7LiZlsn2Q1mn8nmitp2ybeVzUm3fRHXK9kn0XBCtK3odk/Wp97zqXdeaNqmAszadnTBhgtHNzc04f/58q7abN2+e0WAwGCdOnGhtl4UeR7bmDzNmzDACMFaoUMGYmppqUxs8vs7F4+tcPL7OZTq+n3zySY6/rleqVMn41ltvGVeuXGk8f/687vZkoz+VsrKyjA0aNDAC2aNp79y5I1zv119/NY84XbhwYa7l58+fl36SxbR//v7+RgDGCRMm5FqemppqLFu2rBGAMSgoSPgpgujoaGNgYKD52Ij2beLEiUYARjc3N+OVK1dy9G9y69Yto6enpxGA8a233pLWLPPSSy+Zz839+/el68XGxuZ6zHLEqXJUqdKdO3eMcXFx0uWpqanG9u3bm2vJyMjItc6SJUvM/V28eFG1P9O15+npadyyZYtwnXv37hnr1q1rBGBs1aqV+XGObC38eOyLFsv/h5RvCdXeIoqWmR6z/FfUtvJx5TLLdWTfy/qQfcn2W88+6D0mautpbSfrz5p+1fbHmbSOpTWPaR0Ha/q3h7XnQXlNWtuureup1aJ1Dao970TPM1EfWv3peS6qta+1jdY6onr19K/1uJ42qXBwxO9EVs/Z+s8//wAAXnjhBau2M60vm3uMyNWGDRuGMmXK4OrVq9i4caOryyGiQmrkyJHmkY8AcPnyZXz++ed44YUXUK1aNZQpUwZ9+vTBpk2bHPKX782bN+P48eMAgOXLlyMkJES4XseOHdG7d28AyDVSFgCqVq2qOqqgfv36GDRoEABgw4YNuZZv2LDBPBfoBx98IPwEQb169TB+/HjV/Rk4cCDc3NyQlZWF5cuXC9dZsWIF0tPTzetb6+bNmwCAiIgI1Zt7lihRwuq2LYWEhKB48eLS5V5eXpg1axaA7Ovk6NGjNveVnp6O2bNnAwDeeustdOrUSbhecHCwuc9du3bh/PnzNvdJRK6jNS+l6f8Xo1E8b6ie9tVGWIraFi1XzndquY2oTtHPymXKOmU1yY6HbF/UjoGtIzkt+1MblSvqW7aObNSno+ZLtexX7+8pasfc8ntrfu8RXbuWtEZNW3O89V5bWnMBi9oQzVGsNW+xrH/Tl57zrWdEq+VjylGoasdK9JxUmxtYNA+r6HiqnVPRPK/KfRDVKrsO1M6lI34/p8LP6rD1zJkzqFSpktVvMEqWLInw8HCcOXPG2i6J8kSxYsXw8ssvAwC2bNni4mqIqLByc3PDokWL8Ouvv6J9+/a5phC4desW1qxZg27duqFZs2a4cOGCXf2Z/nhUs2ZNNGjQQHXdxx9/HABw4MAB1ZtlAUBcXBwuXLiAkydP4sSJEzhx4oQ5ODx16pQ57DTZunUrgOxfgPv37y9t95VXXlF9g1CpUiW0a9cOAHLdbMrEFBY/8sgjaNSokep+iJQtWxYAsHPnTruPvzVSU1Nx5coVnDp1ynxMLX+hP3bsmM1t79+/3xx2P/fcc6rrmq4DADmmSiCigkNvOKS1jVr7okBPuUzrI+9qoYplG8ogxTIwU94URxnIyraXhTOin0V966UW7lmSHU9Re2phqvIYmx7TG6LL2tXL8pirhWuOoPYHAq3gVHa89dYmChTVjrHe6TBEzwk9gbpaG8rrQzl9haweUQ1qfxyRHUPlHxWUf2RR7pvlcuX1Igpz1f5II2pXVJseWgE+kSWr52xNSEiwec7VkJAQzTsNE7lS8+bNAdj3hpaISI+OHTuiY8eOiIuLw+7du3Hw4EEcOnQIf//9NxISEgAABw8exGOPPYZDhw6ZA0BrHTx4EABw9uxZ3b8MpqWl4d69e7nmTo2Ojsann36KX3/91Tz6UyQrKwtxcXE55m2Njo4GkD2HqGx0LQCUKlUK4eHhuHjxonSdQYMG4Y8//sD58+fx999/47HHHjMvO3jwIE6cOAHAtlGtAPDyyy9j+fLliI2NRb169dC9e3d06NABjz32GKpVq2ZTmzIPHjzA/Pnz8f333+PkyZOqIffdu3dt7sd0HQBAixYtdG+ndp6JqGBxxGgsa0eJ6QkQlcGq5XZ6RgrKgiitvkTLTO2pjWxT9qtsU7k/1oza1DsiT7mNWrCoFcwp1xf9rLcNWYin1odyW0cu00MZusvCauU61var5zrQCm6tvaZldaqFuQaDAVmJ1zFpYAdkHliBrIt/AwCmTPoAk957FxP7P4lJvSMwacI4IOD/fp/LygJ8/DHx1U7IivkHE1/thEl9st9XZ94+hay7/yLz363IOvoDMs/8hikfTc/eLHojMs/8BmRlwq3q47lqUns9kZ0r2bHTE4RrHX+tAJ/IktUjW5OSkuDj42NTZ97e3khKSrJpW6K80LBhQwDAyZMnc43KIiJyhuDgYHTp0gWTJ0/Gpk2bcOvWLSxevBjBwcEAgBs3buCDDz6wuf3bt2/btN3Dhw9z/Lxo0SJERERgyZIlugK45OTkHD/HxcUBgPDGWUqlS5dWXd69e3dzEKyc8mDx4sUAsn/nsHbKI5Mnn3wSn3/+OYoVK4aUlBSsWbMGAwcORPXq1VGhQgUMHjzYIX+Uu3TpEurXr4/3338fx48f1xxNrDym1nDUdUBEREREROqsHtnK1J4Ks8qVK6N48eKIj4/H4cOHzSNdiYjyire3N1555RWUK1cOHTt2BAD89NNPWLBgQa4pB/QwBXiRkZH4+uuvdW9neVf7M2fOYPDgwcjIyEBoaChGjx6Ntm3bIjw8HAEBAfD09ASQHXS++uqrANRHx2jR+l3Dy8sLL7/8MmbPno0ffvgB8+fPBwCkpKTg+++/BwD06NHDrjlVhw4dimeffRarVq3Cn3/+id27dyMhIQHXrl3DN998gwULFuD999/HtGnTbO7jpZdewsWLF2EwGPDKK6+gT58+qF27NkqVKgVvb28A2aOE3d3dAdj3O5hlkLtjxw6ULFlS13Z6wnEiIhPRx3b1jBbTGkEoWl82lYHeUYeyUad6Rmcq67Flf6wdfae3f0tqo26t7UPPtrZ8JNvaEZ96HrdnNK9smTXXhWy0tj2jcPWO7lV7DugZwWk0GjHxyXIY8epgDH3+RdxLy96mYglPxB0+jOFPPY7R4ydj9Esv4Gp8BgDgw8mTsHzxXCTHJ+GN1r/hQQZQLPtXFxxetxaV/IxwMxjw7oQpKFfWH4l37mcvTH0NsUeP4GyiGyIrRKjWJnotUZsmw1HXAJGtrA5bgezREbKbUmhtR5Sfubm5oXXr1ti4cSOioqIYthKRy3To0AFhYWGIiYlBXFwcYmNjc32sX4+SJUvi1q1buHPnDurVq2dTLUuXLkVGRgbc3d2xY8cO4c2tgP8/elXEFHzeunVLsz89vy8MGjQIs2fPRlJSEn788Uc0btwYGzZsMNdg6xQClkJDQzFixAiMGDECWVlZOHr0KH766Sd88cUXiI+Px0cffYSmTZuie/fuVrd95swZ7Nq1CwAwbtw4fPTRR8L11I6pNSzDVS8vL5uvBSIq/KwJKWQfmTexDH20Qka9U92I5lqVfZxY1o/sI9p6PzavFqbJ1rM2bJOtK6pRdmy1ftZL7dgowz09x86eWvRwdNuia0rtmpYFhtYEgnqvFT1/zBZNz6H2HJg8dSruX70BH293VCnhBQAYMHgsDG4GzP7iUwwbNwl1qgQjKyP7k6CTP/gAmRlZmD7rY2SkZSA9NQM+ftnbXb6VgilTpuB6sgH1G1TC+8PfQnJC9qdmki5dQqYRaFG/NAwe3rlqVZsSRGt/HPFHBiJ72BS2njt3Dq+88orV21nzn6ilixcvYuvWrdi/fz/2799vntNs6tSpmDBhgtXtmezduxczZszAnj17kJSUhMqVK6Nv374YPXq06lQJp0+fxrRp07B9+3bExcWhfPnyeOaZZzBhwgTVuwpTwWAKW3lTECJytXLlyiEmJgYAco1q1fv/aaNGjXDq1Cn8+++/uHz5MipVqmR1HSdPngSQPdWKLGgFcs4LqlS/fn3s27cPFy9eRGxsrHRk5Z07d3Dp0iXNmmrVqoXIyEjs3r0bS5YsQePGjc1TCFSsWNF8Ey1HcXNzQ0REBCIiItCzZ080btwYALB27docYave82I6pgDQp08f6Xpqx9Sa/ixvFPbHH39YNW8rERUttsxDKQraZP9a0jNPqmh+ST0hlywU1Boladm+2ghVUZ/2jvwUHQ89ozqdEeLp7UvPeZa1ZS9r99PauWetWceasN5E7Tkh6kvPqGhrwkppPb6BuBR/FTPnz0FmSvYURvfjkjF50hQElglGaR8jYq/fw43knO2+8eZYzJo6EcPHfwi//0uaigd4IjXLgGAv4OH165j8wQeYPHUqAOD90ePw3pj3kZGUCLeMlFz7pvc5KXquqI16VcqLPwBQ0WN12FqxYkWbAlN7zJs3D/PmzXNomytXrkT//v2RmZmJ8uXLIywsDCdOnMDEiROxadMm7NixA76+vrm2i4qKQufOnZGcnIxSpUqhbt26OHPmDGbPno3169djz549mnPNUf7WrFkzANl34yYicpWHDx/i1KlTAIDAwMBcH4k3/VEwNTVVtZ1u3bph5cqVAICZM2fiiy++sLqWjIwMc00yN2/exMaNG6XL27Vrh2+//RZGoxHLly/HyJEjhestXbpU9y+7r732Gnbv3o2dO3di//792LZtGwBgwIABNk25oFdERASCg4MRFxeX66ZVln+sVTs3pmMKqB9Xrakf9PbXqlUrlChRAvfu3cPXX3+NkSNHIjAwULVtIiK9REGbLSPzZCNURR8ZFo3sVLappAyfZCP+lPtjzUezZYGxaB9Ftcl+toc1wZMj+lA+rjWS2FZq7YrCRr1hqCjgV1vH8rhaMyra9LNlm2pBqrXBsrJ92f7kOndJ8agW6oVb1+KQ8n+zEI2a8CEmTJyEBlWCMGXKFAx5fQRqlc0ejZqWkoHbiRkY98EkTJ8xDTOnTjJvV8LHgNPxwPiJU+BmSMf8uVPg5pE9/VSX1ydg/sLP0L3vW/hl0kTptSN6/ukZVa8XQ1ZyBqvfiVy6dAkXL16068taISEh6NKlCz788EP8+uuv6NWrl9VtKPfh1VdfRWZmJmbOnImYmBgcPnwY586dQ82aNXHgwAGMGTMm13b379/H888/j+TkZAwbNgzXrl3DoUOHcOXKFURGRuK///4zz1VHBdcjjzwCNzc33LhxA5cvX3Z1OURUiCQlJaF58+b45ZdfkJWVJV0vKysLb7/9Nu7fz57Tqlu3brl+WS5btiwA4L///lP9JbFXr17m0ahfffUVFi1apFrjiRMnsGnTphyPVa9eHQDw77//Yt++fbm2efjwIfr166d6A6cePXqYa546dSrOnj2ba51Tp05JP04v8uyzzyIoKAgA8N577yErKwsGg8GmT99YWrNmjeq+HDx40Pzx/sqVK+dYZtpHALhw4YK0DdMxBYBly5YJ1/nqq6+wYcMG1Vr19ufj44NRo0YByA7G+/TpgwcPHkjXv3//Pj7//HPVvomI1CgDJT0fc1bbXhZEycIqvUGv2ohBZd3KoFZZl2jUq94gRxYWKfvTIguenB0oaQWFeh+3henYqI061tu3MkDVCmXtCfm0+tFzztU+Yq9Vv/IaNvcXUBIzFy1BQDF3/G/aFPxv2hQsnz8VoT6AMSMd568koFzNShgy7H0MGfY+3hvzPuZNn4yqFfwxadIklKteAUuXzMfSJfMxcNRkrPl0Mlo3KovPv5yFpIQUDHtjOIa9MRxVA4x4Y+BbWLfofzCmP8xVm9qoaQaklN/ZNI1AXlNOFWC6+YWtZs2ahdTUVDz11FMYPXq0+fFKlSph8eLFiIyMxIIFC/DBBx/kGKX69ddf486dO6hduzbmzJljvmFFyZIlsWrVKlStWhWbN2/G4cOHERERYVeN5Dp+fn6IjIzE33//jQ0bNmD48OGuLomICpH9+/eja9euKF++PHr06IEWLVqgUqVKCAgIQHx8PI4cOYLFixcjOjoaABAUFISp//dxK0stW7bEkiVLcPv2bbzzzjt48cUXzcGjp6eneboAd3d3rFmzBi1btkRSUhIGDRqEH374Af369UPNmjXh6emJ27dv48iRI/jll1+wZ88evPvuu+jatau5r5deegmfffYZsrKy8PTTT2PMmDFo2bIlfHx8cOjQIXz66ac4d+6c+WP9Il5eXvjss8/Qu3dvxMXF4dFHH8XYsWPRpk0bGI1G7NixA//73/8AZAeR586d0zyWvr6+6Nu3L77++mvzCNMnnngC4eHh+k+IwNixYzF48GB0794djz/+OGrUqAE/Pz/ExsZi165d+Oyzz8zH9rXXXsuxbcWKFVGhQgVcvXoVn3zyCcqXL4+aNWvCwyP7V67SpUsjICAAjRo1Qr169XDixAl89dVXiI+PxwsvvICyZcsiJiYGK1aswI8//qh6TIHs6QF8fHyQkpKCDz74AB4eHggPDzeP7C1fvjyKFSsGABgzZgy2bduGbdu24ddff0WdOnUwePBgtGjRAsWLF8f9+/dx9uxZ7NixAxs2bICPjw/eeustu44lERGAHEGO7GPCSmojANW2FY2Gky1XtiXaXtm/bJlW0Ks1qlW2L6Ia1ehdz94Rp2ofvdbzsWxbPnYvozyftrbniNG2ekbN6iW6frXa02pfdE0pH5v0fBMkXbqEmfNmo1zdagAALx8PuD3IwAuvj8XnH0/EsBdfQbBvdh7iG+CN23FpSLt9Hz7e7nh48xY+/N9MAMDQlwbBw8sD1y9cxxuDR2P2tEkICMweEVuyuBdGvfs+pn/8IYI65vxDud4R0locOUKcyCrGAqh///5GAMapU6davW1WVpaxbNmyRgDGNWvWCNepVauWEYDxm2++yfH4o48+agRg/N///ifcrmPHjkYAxnHjxllVU0JCghGAMSEhwartbHH8+HGn91EYzJ8/3wjA2LJlS6u24/F1Lh5f5+Lxda7jx48bk5OTjWXKlDEC0PVVvXp148GDB4Xt3b9/31ilShXhdpUqVcq1/rFjx4zVq1fX1e+UKVNybT9lyhTVbd59913jkiVLzD9fvHhRWPesWbOMbm5uwjZ8fX2NmzdvNrZu3doIwNi6dWvN43rw4MEcbaxcuVJzGy2VKlXSPEY+Pj7GZcuWCbf/8ssvpdstWbLEvN6RI0eMwcHB0nXr169vvH79uvnnSZMmCfsbM2aMtI2oqKgc6z58+ND48ssv67oOKleubN4ur14f8vJ3IsqJx55cxd63pJavW6J2RcuU2yrXFy2X1ax87ZTVIOvfEdT20ZnbWtOHo9axpVa1c+NIWteKnm2V16S915Do2tRqKz3qS+P7LYsbP2hb1jj6EW/j6Ee8jUOrwpjwwzTjO/U8jUOrwji4SvbPCT9MMz7cON04qoGXccLjIcbDX082Jq3/2Hh7+STj7eWTjAk/TDPeWDbJODbCxxi7corxv8WTjQe+yv4a36qEcWhVGN+p52nMio+xat9kx9rZ1zIVDY74nahAjGx1pCtXruDGjRsAgMjISOE6kZGROHPmDP755x+8/vrrALLnVjt06JDmdr/99hv++ecfJ1ROealXr14YPnw49uzZg5iYGISFhbm6JCIqBHx8fHDt2jXs27cPW7duxb59+3D27FncunULKSkp8PPzQ7ly5dCwYUN0794dvXr1gpeXl7Atf39/7NmzB9OnT8cff/yBy5cvq8792aBBA5w6dQqrVq3C+vXrcejQIdy5cwdZWVkoWbIkatasiVatWuGZZ54Rfjpj4sSJaNKkCebNm4cDBw7gwYMHCA0NRbNmzTB48GC0b98eS5cu1TwGo0aNQsuWLTF79mzs2rULCQkJKFOmDJ588kmMGjUKtWvXxsyZM3Uf08aNG6NOnTo4deoUihcvjp49e+reVmbnzp34888/8eeff+LUqVO4efMm4uLi4Ovri2rVquHJJ5/EkCFDck0hYDJkyBCULl0a33zzDY4ePYp79+7lmKPV5JFHHsHRo0cxffp0/Prrr7h+/ToCAgJQrVo1PPfccxg6dKjqDTtNZsyYgerVq2P58uU4efIkEhISkJmZKVy3WLFiWLZsGYYNG4ZFixZh586duHr1Kh48eAB/f3+Eh4ejcePG6NSpE7p06WLdgSMiErB1pJ/ayFI9bRiN8jketerSMz2A2lytem+4o1xu6416ROuL2hKNarS2L1M7smOjtz5lW6JjoXzMllqV2+mdkkKrP636rDmXstGmeq455fWndY2rjQA2fZ+Z8hCDBo3AW+Om4Oe1XwEArv13E55e7pj4wURkpGXiejLgWyIIADBl6jS8PfJ9FHM3YvQHUzBr6kTMnpv9aaV3R4xFSIUQuHm4Y96SBYi9eA0ffjgFAPDBuPfgGVgcsRevAW7WRVPK57dy34lcrciFraaPJXp7e6NcuXLCdapUqZJjXSB7ntf09PQcy/VsRwVTuXLl8Nhjj2Hnzp348ccfpTdyISKylpubG1q2bImWLVva3Vbp0qUxd+5c3et7eHjg5Zdfxssvv2xTf08//TSefvpp6fIBAwZgwIABmu1o7f+OHTt013T//n1cunQJANC3b19d4aSWihUr4tVXX7VrHvaePXvqCn4rVqyIr776SnUdrTcPBoMBgwYNwqBBg3TX17hxYzRu3Fj3+kREtnJUmCcKkWQBqtbNmkRTCyj7tXxcFGip1ae2TG1f7VlHz/p5EUbpCbH11KQVltvKlvBdrR1rlltzXrQeU7vW9U6pIDrGADDxucZ47emuWP35VDzbdwgAoFKQG67fz8KMDyehVJAnKvkY8UL/YQCA8oHuSMoAYlMNiE8DricbMGL4WACAu7sb3n93FO4npmLS0FEY/cGHiEnK7u9+XDKCvB5izfLP4L4nGlO+Wqd5DKxZTuRKzrtVbz5luqFF8eLFpfOfBAcH51hX+b1puZ7tRFJTU5GYmJjji/KfZ599FgBU765NRESu9f3335tH9PImlURERERE5GpFbmRrSkoKAEg/lglkj3oFkONOxKbt1LYVbScyffp0TJkyJdfjJ0+ehL+/v+q29oqJiXFq+4VJxYoVAQD79u3DoUOHVK8ZEx5f5+LxdS4eX+fi8XW8zMxMzJgxAwBQrVo1eHl5mW8sRo6VV9dvUlJSnvRDRPmb3hFtso9Qiz7arxzRaHmnd9loVq12RLRuaiWrVbmO1kfI1Vg7CtbabdQ+uq13yghr+3X0KEatuu0ZVat2AzU9N0qT1SRbpjUaW+35IWpnUvfa+PLLWYi7+wBh/tnj84aN/gCBnoDBzYBiISXxweh3Me+jiQCAYj4eSE7JQIkyxbH4k8nw8HLH1KkfAgDuJKRj/idT8cH4ibiQ5IYlS+bDrVT2FH1xx47iygOgX/9hqNWho/SYcAQrFURFLmw1fbwwLS1Nuk5qaioAmO/ea7mdaVvRxxRF24mMGzcO77zzjvnnxMREhIWFoW7duggMDNSxF/apX7++0/soDOrVq4eQkBDcvXsXCQkJaNu2ra7teHydi8fXuXh8nYvH13737t3DvXv3EBsbi7lz5+K///4DkD1PKo+vc+XF8eWnfYiKNlEAJwtULUMYrfDIktr0A5bLtT7yLgtdtUI7tWVqwaveuT/VPhpvTXDl7JBLT132TkFhz3Za15Gej+ebvnfUvKJqQb7anK2yaTNk+zWhTWm8+eZofPThZMyY9REA4GFiKrx9PTHj09kY9dYIjB83HldjszOV5MxMXHnghpqIx700A+7FZWLMqHEAgHtpBlyIzYCHlzs2fPMRFiemY97saQCA9CwjKgW44V6KEYbiFYX7zKCVCqoiF7aaPuofHx8vfOEB/v80AJbTBVh+HxcXh7Jly+raTsTb29s8CpbyL4PBgGeeeQbffvstvvrqK91hKxEROc/8+fNzfTqkc+fOaN++vYsqIiIiR9E7ks/yZ62QUhbgygIo0XK10axa4ZZoRK1oW1tDJVHorHzclvYc2ZYWewM12TGwpQZH12zrsbNmxK8sxNc776uSW/kaKBNWEr6+nsjMyAIA+If4Y/TbozH1ow/x0fRpeP+98agcFgQAGDtiFEaO+QC+vp64k5qBOsGAl0/2p0LnTh6PWykGLJ03FVmZWfDx88L9uOxPAvt4u8PHzwsP01MAd+1PkRIVJEVuztbq1asDyB6Fev36deE6plEypnUBIDw8HJ6enjmW69mOCra3334bALB+/Xp+BJiIKB/x8PBA1apVMWHCBKxdu9bV5RARkYtohahqo0Itl5m+1wrtZO0pAz9ZOCwKMpVfpsdldeihd6SonlGzekfV2rKdI1gT0gPIdYz1tiVqR+t8iD7iL6tHdn3JprbQGs2qZ6oLy7ZM277fryvcfIrhdmIGBgybgAHDJiA54SH+N/tjpKVmYMqUyQCA5PgkJMcnYfrMjzB31jRcjc+AvwcQVKE03hszHu+NGY/pH3+ICr5A4oMMFAvyhZuXN4LDSiM4rDQy07OQ8iANoWWDgMx01eNIVNAUubC1YsWKKFOmDABg9+7dwnVMjzdv3tz8mIeHByIiIqzejgq2+vXr44knnkBmZqbm3aKJiMj5Jk+eDKPRiPT0dJw/fx5Tp06Fr6+vq8siIqJ8wpoRgcrv1YIzUXgqC8WUoako3FOOcNUK2izXlY2OVbavN5hVti/qV+92ecHWfTORBep6+lW2I/u0rFq/evuSzb+qdo1o/cHBMoy1/NdynY9/igL8grFs65+o26op6rZqisBadeEZGITgsNKYsXQ1Pt30JwKqVUNAtWrwqtsSn/z0C9b8uQmVmkfA4OWN+WtXY/7a1QisXh1zt+9FuUfqwzO0PDyqN4abTzG4+RRDcP36CKwcDo9KtWHwDtB9bIgKgiI3jYDpo+FfffUVFi1ahOeeey7H8j179uDMmTPw9PREt27dcizr2bMn/vnnHyxduhTvvvsu3N3dzcuuXLmCrVu3AgB69erl/B2hPDN06FBERUVh7dq1+Pjjj11dDhERERERabA22LLcxpq5T9Xm0VSuozbaVDZnqGwbZVimXFfvvmg9rrVMtr6sdrX2nTXtgLX1yNrQOld6atSaC9jyMcuQXhSqW553W8Nxy21Nj01ZuMXc54dr9mc/9n1P80i9KW2GwGAwYMqKnTnanLKmg3QfEWbxfeXHrKqVqCAqtCNb586di/DwcPTp0yfXstGjR8PLywt//PEHZs2aZX4huHz5MgYOHAgAGDRokHkErMngwYMREhKC06dP45133kF6evZQ99jYWPTr1w8ZGRno1KkTGjdu7OS9o7wUGRkJALhw4QLu3bvn4mqIiIiIiMgRZB/FFn1U25Llx7RlUwYo17GmHj3Bmd6ATVSbsz/yr2dqAlHfej5yr4ctI1C1lmmFq3rpnRZCNsevntHPanXK/kggC+Rl59LaqRuIipoCEbbu3r0bISEh5q/vv/8eADB9+vQcj1vOqRkfH4/Lly/j5s2budqrXLkyvv32W7i5uWHMmDEICwtDREQEqlevjrNnz6Jx48aYNWtWru0CAwPx/fffw8fHB/Pnz0f58uXRpEkTVKxYEbt370Z4eDgWL17svANBLlG6dGnz9+XLl+d/HkREREREhYjs93u10FDvNALKx5V9iubrVAvTREGijDUhnNo6rnj/Y0/wKttWFDRaM++qbK5TNbJpJES1irZVBveiPi2vG+U2ohq0/gCgFkzbE4ITFSUFImxNT09HbGys+Ss1NRUA8PDhwxyPZ2Zm6m7z5Zdfxt9//40uXbogOTkZp06dQpUqVTB58mTs2rULfn5+wu2efPJJHDx4EH369IHBYEB0dDRKly6Nd955B4cPH841GpYKPoPBgICA7DlkUlJSsHPnTo0tiIgoP1u6dKn5zcalS5dcXY4ukydPtnuOOiIiIiIicr4CMWdrmzZtrP5r2uTJkzF58mTVdVq2bIlNmzZZXU/dunWxevVqq7ejgmvlypXmOXw3b96M1q1bu7giIiIiIiLSS8/H+WXryG4upNxG+a9obk1R286YR9XaeVaV29m6vakNwLa5Va39yLotx0g5AlRPW6I6RNuqTTlg7dQKyj+y6h2RrNw3takkRKOotUZ0E5G2AjGylcjVunbtimXLlgEAZs2ahWvXrrm4IiIiIiIi0ks0D6syVFL7uLjlcuV8rGo3zNLzcXjZtAF6gz/ZR8vVaNViTagm+1i7bF17pjeQbWPtMRB9VF6tZtG/atuqTR8gqlU5TYBW6GkrrfYYphI5BsNWIp3atGlj/v7jjz92XSFERERERGQTPTcYUhvBKGpHT7AoGjWpFTrKbt6lDPFEoa5a0KdWs2w/1Fg7YtMZgZ4t7cqCcNn1oCeItlxH1L5oHlbRdspzrpy3Vc9+Kedp1Roly6mKiByHYSuRThUrVsSECRMAAGvXrsWdO3dcXBEREREREdnLnvBPGdIpR72K1lEL9pR1iW5ypDVaVu2j61qjN0U/2zudgCM4qi09o2rVRsvqqUM20tfaG2Qpa7AMYtVGxirbFgW4or45qpXIcRi2Ellh4sSJqFatGu7evYvHHnsMKSkpri6JiIiIiIhcTDZyVWs+UVkIpyQbuSka0arVr/Jn0fp6t9eqWY0j2rIlhNXaRi1ktWbeVFEQrzbdgHI7takE9M6pqjfYt2YdItLGsJXICp6envjhhx/g5uaGs2fP4rfffnN1SUREdhswYAAMBgPCw8MBADdu3MDYsWNRt25dBAQEwGAwYMeOHTm2MRqN+PHHH9GrVy+EhYXBx8cHwcHBaNasGaZOnYr4+HjVPvft24cJEyagTZs2KFOmDLy8vBAYGIg6depgyJAhOHXqlO76t2zZgnHjxqFKlSrw8/NDUFAQ6tatiz59+mDdunVITk5W3T4rKwsLFixAy5YtERwcDD8/PzRo0AAfffQRHj58qNm/vccCAK5evYqhQ4eiSpUq8PHxQbly5dCtWzds3bpV72EgIqI8oPURc8uATHkjIr3zcIoCOBG16Q1kHzcXhap65pVVbq82VYGMKHzUu75WPXq31Tr+yvOnZ+oAa+tUzskqunb09Kkcxao1D63eoJiI7Ofh6gKICppHHnkEw4cPx6effoqNGzeiR48eri6JiMhh9u3bh65du+Lu3bvSde7cuYNnnnkGu3fvzvF4amoqDhw4gAMHDuCLL77Axo0b0bx581zbL126FK+88kqux9PT03H69GmcPn0a3377LebPn48333xTWkdsbCyef/55bNu2LdeyU6dO4dSpU1izZg2WLFmCAQMGCNt48OAB2rdvj+3bt+d4PDo6GtHR0fj555+xfft2+Pn5Cbe391gAwF9//YVu3bohMTHR/NiNGzewadMmbNq0CVOmTJEeAyIiylvW3mBINt+qMmDTy3KqAj3ti7aV/SzbTrSuNSGeNf1Yu45lH5bb2Lr/evuy9jqw3M7aGmTHz9ZRqLbuNxHpx7CVyAZPPfUUPv30U+zcudPVpRAROUxSUhJ69eqFlJQUjB8/Hu3bt4evry+io6NRtmxZANnhZOvWrXH69Gl4eXnhlVdewdNPP42wsDA8ePAAO3fuxJw5c3Dr1i106tQJR44cQaVKlXL0k5GRgeDgYHTr1g2tW7dG9erV4efnh+vXr+Pw4cOYP38+7t69i7feegu1atVC27Ztc9X68OFDPPHEE4iOjgYA1KlTB8OHD0e9evXg7e2NmJgY7Ny5E2vWrFHd59dffx379u1D//798dxzz6FMmTK4cuUKZs6cib1792L//v2YNm0apk+fnmtbRxyLS5cuoWvXrrh//z7c3Nzw+uuvo3fv3ggKCsLx48cxY8YMTJo0CU2aNLHqXBIRkWuI5sy0DLfUQlbltrJ5X9XaUbvxkVrgqRXA2TNva14Ee7aEt3o/ni8anSzbRhboKkNy03Za14Dlv3oCZT0YtBLlASO5XEJCghGAMSEhwel9HT9+3Ol9FAUJCQlGNzc3IwDj/v37zY/z+DoXj69z8fg6V34+vv379zcCMAIw+vv7G48ePSpd96233jICMAYFBRkPHDggXOfSpUvGsmXLGgEYX3zxxVzLr169anzw4IG0j/j4eGODBg2MAIytWrUSrjNixAhzzUOHDjUeO3ZMuF5qaqrx5s2bOR5bsmSJeVsAxu+++y7XdikpKcZ69eoZARhLlixpTE9Pz7WOI45Fz549zXWsWrUq1/LExERjw4YNc9TrCnl1/ebl70SUE489kWOIXq9Fr92mx5TrWW5r+a/s/wE9/y/o+f/DWf+/aB2HgkB0TtTWFf0sOpeyfrSWW9M/EVnPEb8Tcc5WIhsEBgaiV69eAIAuXbrg3r17Lq6IiMgxxowZg4YNGwqX3b17FwsXLgQAfPjhh9LRlpUqVcIHH3wAAFizZk2ueU/Lly8PX19faQ1BQUH48MMPAQC7du1CbGxsjuVxcXFYsGABACAiIgLz5s2TfpTOy8sLpUuXlvbVs2dPvPjii7ke9/b2xltvvQUge7oC5RyyjjgWN27cwMaNGwFk/1/St2/fXNsHBASY95WIiPI/ozH3nd+NipGJlo8ZLeZXVW6rbMP0Ze2NjpT1yOq2nIPVnptIKdsVfW8NvfvryJs7WXv8LNe1vFGZqS3Lc2p5HmVzr8qWK2uzfIzTAxDlHwxbiWw0f/58BAQE4Pbt27yBCREVGi+88IJ02e+//46UlBQAwHPPPafazuOPPw4gex7WQ4cOqa774MEDXLp0CSdPnsSJEydw4sQJeHp6mpcfO3Ysx/pRUVHm0HLYsGFwd3dXbV+N2v42btzY/P1///2XY5kjjkVUVBQyMzMBQDiHrUmzZs1Qt25d1T6IiMj1ZKGYnjvZWy6zDNmsne/UchtlO6Iale3qvYmXaB1nBX1a7WrVrBbE6rmRmPKGZabHZO2Z1lPWJOrLMlhVnjNR+C4L3K0JhInI+ThnK5GNypQpgwEDBuCzzz7D4MGDeaMsIirw/P39UaVKFenygwcPmr83zeGqx82bN3M9dvfuXcyZMwfr1q3DuXPnVN8gKG/WdeTIEfP3piDTVrVq1ZIuK1GihPn7+/fv51jmiGNhmm8WAJo2baq6XbNmzXDy5End/RARUd6ThY/WjCpVri8KbJUjJWXzxKrVJCIbGan3xlJ6b/akVYe1ZLWYlukNuU3biY6pMviWraMWxsrOhWgErJ6aiCj/4shWIjt06tQJQPZHWn/77TcXV0NEZJ/ixYurLr99+7ZN7SqnETh06BBq1aqF6dOn499//9V8w5CcnJzjZ8vw1ZqgU0RtOgM3t///a5JpBKqJI45FXFyc+fvQ0FDV7dSmQiAiooJPFPpZPq4c0agM6EQhq6xNET0347J2H7T6dCTZqFFraxGNIrX8WTnKVWvaB8vHZdM0yEbBWi4XjXQlovyLI1uJ7NCpUye0bdsW27dvx65du1C5cmVXl0REZDOtj+ObAkcvLy/NqQEsVahQwfx9WloannvuOcTGxsLT0xNvv/02unfvjho1aiA4OBje3t4Asj+2X7VqVQD5c/SGI46F7E2VSH48BkRE5Bh6P7oP5J5bVRnw6Z0mQLm93rlVlaMs9YzaFf1szfyietbVe+xk7VozKldrHeV5kJ1ftRHDeTVFAxE5B8NWIjv1798f27dvx8qVK/HMM8+4uhwiIqcpWbIkgOzAtGTJkjaNKt2+fbt5/tMvvvgCr732mnA9y1GfSiEhIebvb9y44ZI/dDniWFhOU3Dr1i2EhYVJ17V1JC0REeV/oiBNGYyKlpnIgk/ZfK/WhLt6atVLLUy0pk9r5sBVC1H1BsyW64jaEwWseurQmvKBiAouTiNAZKeePXuiYsWKuH79Om+URUSFWqNGjczf//HHHza1YTnvaJ8+faTrWc6JqhQREWH+fufOnTbVYS9HHIv69eubvz9w4IDqulrLiYiouLz4fQAAVkpJREFU8NEKE5XBqfJj6loBoCXZzbREH88XhbVqN6Gy3MYRrAmK1T5FoneKA605VUV9KWuULbMn+Cai/IthK5Gd/P398dJLLwEA9u3b5+JqiIicp1OnTvD09AQAfPrpp8jIyLC6DcttlHO5mmRlZWHBggXSNp544gn4+fkBAD777LNc86nmBUcciyeeeMI8dcOyZcuk6x08eBAnTpywrVAiIirwZCGh8g72lnN6ykaQKud8VRKFgnpHfarN2SoKfvUEtHroXc/e4NXyWFt+iUJVtaBaVhMRFR4MW4kc4MknnwSQ8w7ZRESFTfny5fHKK68AAI4dO4Y33nhDNWS8ffs2Fi5cmOOx6tWrm7+XBYzjxo3D4cOHpe0WL14cb7zxBoDsm22NGDFC+mYlPT3dKR/Bd8SxKFu2LLp37w4A+Pnnn7F27dpc2yUlJeH11193YOVERFTQqH0MXm0+ULVtrOlH2a6euU1FH40XfYxe70hRNbYGlsqg2pJamGoZZKudG9HoX4arREUDw1YiBzB9pPXGjRu4d++ei6shInKe2bNno169egCAxYsXo2HDhpg3bx527dqFo0ePYseOHfjiiy/wzDPPICwsDF9//XWO7Tt06IDQ0FAAwPjx4zF06FD8/vvvOHToENasWYN27dph5syZiIyMVK1j6tSp5o/hf/755+jbty++/fZb7Nu3D4cPH8bPP/+MMWPGoHLlytiyZYsTjoT9x8LURkBAAACgX79+GDp0KKKionDo0CEsWbIEjRs3xpEjR9CkSROn7AMRERERETkWb5BF5ABBQUGoUqUK/vvvPxw9ehRt27Z1dUlERE7h7++Pv/76Cy+88AJ+++03nDp1CiNGjJCuHxgYmONnPz8/LF++HD169EBKSgq+/PJLfPnllznWadOmDT7//HNzkCni6+uL7du3o1evXti5cydOnTqV5yNA7T0WABAeHo6ff/4Z3bp1w/3794XHY9KkSQDU57ElIqKiQfaxdeUy0Y2ZtG4WpWf+UD03ddI7etPakZ7KPm0dKWo5/YLW8ZD1K2pPqz+OaiUqOjiylchBHnnkEQCcSoCICr8SJUrg119/xbZt2/DKK6+gevXq8Pf3h4eHB0qUKIGmTZti6NCh2LJlC/78889c23fo0AEHDx7Eiy++iHLlysHT0xOlSpVC69atsWDBAmzbts08J6uakJAQ/PXXX/jpp5/Qvn17VKhQAd7e3ggODka9evXwwgsvYOPGjejXr58zDgMA+48FkB0unzx5EkOGDEGlSpXg5eWF0qVLo3Pnzvjtt98wefJkp9VPREQFi9rNrURhoDKYVQv+lFMMqM056ojw0NrtRTeWspVoKgVRuKpnKgC1KQhEy4mo8DMY+cx3ucTERAQFBSEhIUE46sWRoqOjc9z9mBxn2rRp+OCDDwBkz7GnJygg6/D6dS4eX+fi8XUuHl/nyqvjm5e/E1FOPPZEhVdehX6yuU/19O2o+UzV2nFEH6L9UbbLuVmJCjZH/E7Eka1EDmIa2QpAOC8fERERERGRoylHUiqXiUZnirZTtqHWrojlqFNrR8DaMp2Are1ojd5VLrM8PvZMm0BERQfDViIHeeKJJ8zfb9682YWVEBERERFRUWH5cXdlcGh6TBSkyj4Or/UxekuioFJWi6PI5k5Vq8m0nWy6BeUUAqb1RfPjMlwlIi0MW4kcxM/Pz3zH6507d+LatWsuroiIiIiIiIoS0cf4laGp1sfsRXO3ytrXczMtR5CFurb2K5vyQBZYW1Mfw1giYthK5EAVKlTAY489hszMTAwdOtTV5RAREVEhc//+faxYsQIvvvgiatSogWLFisHX1xd169bF6NGjcePGDVeXSET5iFogqZxiQHaDLHs/4u+IEa7W1qDVpyg0Fo18VU4jYNmHrfURUeHHsJXIwf73v//Bw8MDGzduxP79+11dDhERERUib775Jl566SWsXLkSN2/eRK1atVChQgWcPXsWn3zyCerXr48DBw64ukwiKoAsg0blaFjR9AGyj94rqX3s39qpALQoA2S1UFS0rtZI3by62RgRFWwMW4kcrEWLFnj++ecBAD/++KOLqyEiIqLCpkePHti6dSvu3buHI0eO4N9//8XZs2fRrFkzxMbGolevXkhOTnZ1mURERERFEsNWIieIjIwEAJw6dcrFlRAREVFhMm/ePKxfvx5PPvkkPDw8zI9XrVoVP/74I7y8vBATE4PffvvNhVUSUX4mG52p/Pi81rZ6bxilNhpUa95Va0e46p1TVjmKVXbDMNnNvtSmFCAiYthK5AS1a9cGAJw5c8bFlRAREVFhUqJECemysLAw1KpVCwDw77//5lVJRFTAaIWjzp4f1XJbLdbenErPeqJ5abXaVAbLlnVxSgEiUmLYSuQEprD1woUL2Lt3r4urISIioqIiJSUFAFCsWDEXV0JE+Z3aPKyyUZ+mUZ6WN8+yNWxU9mErtf71zCdrzYhbIiI9GLYSOUHp0qXxzDPPAABGjhzJ/6yJiIjI6Y4dO2Ye0Wqa0oiISEb2sXnlaE/ZTaUcEZbqveGUre2LahQFrMopFDhNABHZg2ErkZN89dVX8Pb2xj///IOdO3e6uhwiokLr7t27+PLLL/mHLSrSMjMz8fbbbwMA2rZti8aNG6uun5qaisTExBxfRFR0qQWszqR3blZH1iMKVJX9cJoAIrIHw1YiJyldujQGDhwIAJgxY4aLqyEiKrz+/vtvfP3117h3756rSyFymffffx9///03AgICsGDBAs31p0+fjqCgIPNXWFhYHlRJRPmNcjoAyykDLANJ5QhUR4ezjg5TRd8r9082MpfhKhHZy0N7FSKy1ahRo/DNN9/gt99+w7Zt2/Dkk0+6uiQiIiJykTFjxuDnn3+2erslS5agRYsW0uVff/01Zs6cCQ8PD6xevRpVq1bVbHPcuHF45513zD8nJiYycCUqgmQfpxctswwqtR5T60NE1I6t28j2QTT3rDU1EhHpxbCVyImqVKmCN954A1999RU++ugjhq1ERERF2PXr13H27Fmrt3vw4IF02Zo1azB06FAYDAYsXboUnTt31tWmt7c3vL29ra6FiIomWWipvKmWWmiqtkzrJldaoaqoBst/RX0wYCUiZ+E0AkRONnLkSABAVFQUpk6diqysLBdXRERERK6wYsWKHDeW0fvVrl07YXtbtmzBSy+9hKysLHz++ed44YUX8niPiIiIiEiJYSuRk1WvXh1VqlQBAEycOBEbN250cUVERERU0O3cuRO9e/dGeno6pk+fjjfffNPVJRFREaSc/1Q0WlQ2stTaPkQ3tVLOOSuryTTCVTafKxGRIzFsJcoDljfI+umnn1xYCRERERV0hw4dQteuXZGcnIxx48bhvffec3VJRFREKD/Sr5xSQMRRH9e3DFSVj4lu5mVZo2gqAk4jQETOwrCVKA88++yzmDt3LoDsjxDu27fPtQURERFRgXT27Fl07NgRiYmJePPNN/Hxxx+7uiQiKkKUo0zV5kS1XE/EtExtHWvqUo5oVY565UhWIsorvEEWUR4ZNmwYtm/fjp9//hnfffcdHn30UVeXRERERAXMsGHDcPfuXRgMBhw9ehStWrUSrjdw4EAMHDgwj6sjoqJCazSrbF3LQNaakaXKEbSyNmXr29InEZGtGLYS5RGDwYDBgwfj559/xpo1azBz5kz4+fm5uiwiIiIqQFJTUwFkBwZ79uyRrie7qRYRkSNZE17aE3QqQ1rlPK3O6peIyBYMW4nyUPv27VG1alVcuHABCxcuxPDhw11dEhERERUgO3bscHUJRERSstGrekag2tqHaBkDViJyJc7ZSpSHPDw8MGbMGADAJ598grS0NBdXREREREREZB/ZTaiU87kq52e1JRRV3qBLtEw2DyznbSWivMCwlSiP9e/fH2XLlsXVq1exYsUKV5dDRERERESkmyiwVIacsptmWTPqVC0Y1RPiivrhiFciygsMW4nymLe3N9555x0AwMyZM/kfPhERERERERFRIcGwlcgF3njjDfj6+uLs2bM4dOiQq8shIiIiIiLSRTZYxDSaVDSqVOvj+1qjZfXUJJsTlogorzFsJXKBgIAAdOnSBQCwdu1aF1dDRERERERkPcswU/lRfr1zs2rdJMtoNKrOzapWFz9FSESuwLCVyEWeffZZAMCyZctw584dF1dDRERERERkHdGcrCJqI0z1BKJqo1Yt54llyEpE+QHDViIXefrpp1GmTBncvn0bXbp0QVpamqtLIiIiIiIisola8Coanero/mSPERHlNYatRC7i6+uL7du3Izg4GPv378f8+fNdXRIREREREZFdlNMJmFg7p6pymahdU5vKOVs5VysRuRLDViIXql27NmbMmAEAWLJkiYurISIiIiIiso/sZlWydfUu09uu1hywRETOxrCVyMWef/55eHl54dSpUzh16pSryyEiIiIiIrKb1uhSe0afKudntZyzlUErEbkaw1YiFwsKCsJTTz0FAFi7dq2LqyEiIiIiIrKfMvSUhauWN7qytX3TqFcGrUSUHzBsJcoH+vTpAwCYMmUKxo0b5+JqiIiIiIiInMtyvlU9QatyNCsRUX5VoMLWLVu2oF27dihRogT8/PwQERGBzz77DFlZWVa1Y/kRA7WvZcuW5dhu6dKlmtv89ttvjtxlKiKee+451KpVCwAwY8YMbN682cUVERERERERERGRtTxcXYBeM2bMMI/4q1KlCvz9/XHs2DEMGzYMW7duxfr16+Hmpi87joyMlC6Li4szz5v56KOPCtcJDQ1F9erVhcuCg4N11UBkydPTE3v27MGzzz6Lbdu2oXv37vjpp5/QrVs3V5dGRERERERkF625VLVGqlpuz9GtRJTfFYiwde/evXj//ffh5uaGFStWoG/fvgCAY8eOoUOHDvj5558xZ84cjBo1Sld7u3btki6bMGECTp06hWbNmqFmzZrCdTp16oSlS5davR9EaoKDg7F69Wp06tQJhw4dQv/+/XHr1i14eXm5ujQiIiIiIiKb2RuUKudnNbXFwJWI8qMCMY3AtGnTYDQaMWjQIHPQCgANGzbEnDlzAGSPfE1PT7erH6PRiJUrVwIAXnrpJbvaIrJFqVKlsHv3boSGhiI+Ph7PP/+8q0siIiIiIiKymykcVQtILedlNf1s+a8lBq1ElF/l+7A1MTERW7duBQC8+uqruZY/++yzCAwMRGxsLKKiouzq6++//8alS5fg6elpvmERUV7z9vbGrFmzAAAbNmzAN9984+KKiIiIiIiI7GO6EZbazbAsw1jlyFWtbYmI8ot8H7YeOXIEaWlp8PHxQURERK7lnp6eaNq0KQDgn3/+sauvFStWAAA6duyIkJAQ6XrHjh1Dv3790LZtW/To0QNTpkzBhQsX7OqbyNLLL7+MHj16AACGDRuGGzduuLYgIiIiIiIiO5nCVIamRFSY5fuw9dy5cwCAihUrwsNDPMVslSpVcqxri9TUVPzwww8AtKcQOHr0KFavXo2oqChs3LgRkydPRs2aNfHRRx/Z3D+R0jfffINSpUohLS1N93zERERERERE+ZFpZKroZlcionlatbYhIsoP8n3YGhcXByD75kEypmWmdW2xadMmxMfHIygoCF27dhWuU7x4cbz99tvYvXs3bt26hZSUFBw5cgQvvfQSMjMzMWHCBHz++eeafaWmpiIxMTHHF5FSaGgoNm7cCIPBgFWrVtn1xwQiIiIiIiJXMo1qlYWotmxPRJQfiYeK5iMpKSkAoHpHdm9vbwBAcnKyzf2YphB49tln4ePjI1ynR48e5o92mzzyyCNYvnw5SpYsiblz52LChAno378/AgICpH1Nnz4dU6ZMyfX4yZMn4e/vb/M+6BETE+PU9os6Rx9ff39/tGjRAnv27MH06dMxcuRIh7Zf0PD6dS4eX+fi8XWey5cvAwBOnTqF4sWLu7aYQiqvrt+kpKQ86YeIiFzDNCpVNi+r5XoMVYmooMr3Yasp+ExLS5Ouk5qaCgAoVqyYTX3ExsZiy5YtALLnyrTFlClT8NVXXyEhIQHbt29H9+7dpeuOGzcO77zzjvnnxMREhIWFoW7duggMDLSpf2vUr1/f6X0UZY4+vmPHjkX37t3x/fffY+7cuXlyjeRnvH6di8fXuXh8neP8+fMAgDp16qBkyZIurqbwyovrl5/2ISIiIqKCLt9PI6BnigA9Uw2oWbNmDdLT0xEeHo5WrVrZ1EZgYCDq1q0L4P+/6ZPx9vZGYGBgji8ima5du6JatWpITk7Gr7/+6upyiIiIiIiIbKL3Blmy0a6cr5WICoJ8H7ZWr14dAHDlyhVkZGQI1/nvv/9yrGst0xQCL774ol0v3p6engAgrZPIFgaDAR07dgQAvPnmm3bNTUxEREREROQKovfaeqcKME0rwKkFiKggyPdha6NGjeDp6YmUlBQcPnw41/L09HQcOHAAANC8eXOr279w4QL27t0LIDtstVVmZibOnj0LAKhQoYLN7RCJjB07FiEhIbh37x6+/fZbV5dDRERERERkFVtvjMX5W4mooMn3YWtgYCDatWsHAFi0aFGu5T/88AMSExNRsmRJtGnTxur2v/vuOwBAs2bNULNmTZvrXLRoEeLj4+Hu7m5THURqKlSogJkzZwLIvsHajRs3XFwRERERERGR/WyZUoCIKD/L92ErAIwfPx4GgwELFy7E6tWrzY8fO3bMfKOpMWPGwMvLy7xs7ty5CA8PR58+fVTbXrlyJQDgpZdeUl0vMTERffv2xf79+3M8npmZiW+//RbDhw8HALz66qsoX768/p0j0qlfv34oW7Ys4uPjMXjwYFeXQ0REREREZDNTyKonTOVcrURUkBSIsDUyMhJTp05FVlYW+vXrh6pVq6Jhw4aIiIjArVu30LlzZ7z77rs5tomPj8fly5dx8+ZNabt79+7F+fPn4enpqRnKZmVl4fvvv0fz5s0RHByMiIgINGvWDCEhIXj99deRkpKCTp06Yd68eQ7ZZyIlb29v8+ju33//HQ8fPnRxRURERERERLax5iZYHN1KRAVJgQhbgezRrZs2bULbtm0RGxuL8+fPo379+pg7dy42btwId3d3q9s0TSHQsWNHhISEqK7r5+eHmTNnokePHggJCcGFCxdw9OhR+Pj4oHPnzlizZg02b94MHx8fm/aPSI+OHTuiYsWKSE1NNY/KJiIiIiIiKgyUN8HiiFYiKog8XF2ANbp06YIuXbroWnfy5MmYPHmy6jpffvklvvzyS13teXp6YvTo0brWJXIWg8GAESNG4J133sG4cePQr18/+Pn5ubosIiIiIiIiq2nd/IojWomoICowI1uJKJtpyovY2Fg0btwYGRkZLq6IiIiIiIiIiIgAhq1EBU7ZsmVRqlQpAMDZs2fx448/urgiIiIiIiIi66mNXOUUAkRUUDFsJSqA1q5da/6eYSsRERERERVUvCkWERU2DFuJCqA2bdrg0KFDAIB169bh6tWrLq6IiIiIiIjIeqZQVRS4cnQrERVEDFuJCqhGjRqhUqVKAIBKlSohPT3dxRURERERERFZz2g0CkeycnQrERVEDFuJCiiDwYAxY8YAALKyslC6dGn88ssvLq6KiIiIiIhIH+XIVeWUAhzZSkQFEcNWogLszTffxOeffw4AiIuLQ9euXREdHe3iqoiIiIiIiKynHOHKka1EVBAxbCUq4IYOHYpVq1aZf+7cuTMuXLjgwoqIiIiIiIi0MUwlosKIYStRIdC3b1+cPXsW3t7eiImJQdu2bbF69WrcunXL1aURERERERFZhdMHEFFBxrCVqJCoUaMGdu/ejVKlSuHKlSvo168fnn76aWRlZbm6NCIiIiIiIiKiIoFhK1Eh0rhxY2zduhU+Pj4AgMOHD+O7775zcVVERERERET6GY1Gjm4logKLYStRIdOgQQNcvnwZnTp1AgAMGDAA27Ztc3FVRERERERE+nE+VyIqqBi2EhVCoaGhWLhwIQICAgAAb7zxBjIyMlxcFRERERERUW6mUawGg4EjWomowGPYSlRIlStXDteuXYOPjw8uXLiA8PBwzt9KRERERET5jmkUq9Fo5BQCRFTgMWwlKsQCAgLQv39/AMC1a9ewYcMG1xZERERERESkwBGtRFSYMGwlKuTmz5+Pbt26AQA2bdrk4mqIiIiIiIhyMo1oJSIqDBi2EhVyXl5eGDJkCABg+/bt/CWGiIiIiIjyNb5nIaKCjGErURHw2GOPwc/PD1euXEFUVJSryyEiIiIiIjLjFAJEVJgwbCUqAvz8/NCvXz8AwIABA/DgwQMXV0REREREREREVPgwbCUqIj7++GNUrFgRMTEx+PLLL11dDhERERERERFRocOwlaiICAkJweTJkwEAY8aMwbp161xbEBEREREREThHKxEVLgxbiYqQl156CVWrVgUAfPLJJy6uhoiIiIiIiIiocGHYSlSEeHh4mG+QtW/fPmzZssXFFRERERERERERFR4MW4mKmLCwMDz33HMAgG7duuHo0aOuLYiIiIiIiIiIqJBg2EpUBC1duhRPPPEEMjMzMW7cOGRlZbm6JCIiIiIiIiKiAo9hK1ERVKxYMXz++efw9vbGb7/9hjZt2uDgwYOuLouIiIiIiAgGg8HVJRAR2YxhK1ERVadOHYwZMwYA8Pfff6Np06aYOXMmkpKSXFwZEREREREVZUaj0dUlEBHZjGErURH27rvvIjIy0vzz2LFjUa5cOWzfvh0nTpxwYWVERERERERERAUPw1aiIiwoKAi7du1C7969zY/dv38fTz75JJo2bYqYmBgXVkdEREREREREVLAwbCUiLFiwALNmzUKzZs3Mj6WkpKBixYqYM2cOP8ZDRERERERERKQDw1YiQnBwMEaNGoV//vkHFy9exHfffWde9u6772LdunUurI6IiIiIiIiIqGDwcHUBRJS/hIeHIzw8HA8ePMDgwYMBAK+99hrKly+PFi1auLg6IiIiIiIqjAwGAz9RR0SFAke2EpHQ66+/jqioKDRr1gzx8fHo2rUrbt686eqyiIiIiIioEGLQSkSFBcNWIhIyGAxo06YNoqKiUK9ePcTGxmLFihWuLouIiIiIiIiIKN9i2EpEqnx9fTFkyBAAwOTJk3H+/HkXV0RERERERERElD8xbCUiTf369UP16tXx4MEDDBo0CKmpqa4uiYiIiIiIiIgo32HYSkSaihcvjk2bNsHHxwd//fUX5s2b5+qSiIiIiIiIiIjyHYatRKRLzZo1MXfuXADA3LlzkZCQ4NqCiIiIiIiIiIjyGYatRKRb//79UaVKFdy4cQPDhw/nHUOJiIiIiIiIiCwwbCUi3Xx8fLB06VIYDAYsW7YMb731FpKTk11dFhERERERFXAGg8HVJRAROQTDViKyymOPPYYvv/wSAPDll18iIiIC+/fvd3FVRERERERUkPFTc0RUWDBsJSKrDR48GBs2bICvry/OnDmD5s2b4+jRo7h37x4OHDjg6vKIiIiIiIiIiFyCYSsR2aR79+7YvXu3+edGjRqhZMmSaNasmflGWkRERERERERERQnDViKy2SOPPIKPP/4YwcHBOR4fOXIkXnvtNX4UiIiIiIiIiIiKFIatRGSXcePG4d69e2jfvn2OxxcuXIju3bujUaNGaNGiBVJTU11UIRERERERERFR3mDYSkQOsW7dOpw5cwZZWVn4+OOPAQCbNm3C0aNHsW/fPmzfvt3FFRIRERERERERORfDViJyiICAANSsWRMGgwHjxo3Drl27ULduXfPyZcuWubA6IiIiIiIiIiLnY9hKRE4RGRmJEydO4ODBgzAYDFizZg1CQ0Nx7NgxV5dGREREREREROQUDFuJyKkaN26MadOmAQDu3LmDRx55BEeOHHFxVUREREREREREjsewlYic7v3338fIkSPNP0dERGDv3r0urIiIiIiIiIiIyPEYthJRnpg4cSKqVq1q/rl///4wGo0urIiIiIiIiIiIyLEYthJRnihevDjOnz+PgwcPAgDOnTuHpUuX4uHDhy6ujIiIiIiIiIjIMRi2ElGeaty4Mfr37w8AGDhwICpXrozY2FgXV0VEREREREREZD+GrUSU5z7//HO8/vrrAIDbt28jJCQE7u7uKFWqFL799lsXV0dEREREREREZJsCFbZu2bIF7dq1Q4kSJeDn54eIiAh89tlnyMrKsqqdyZMnw2AwqH6dOXNGuv3p06fxwgsvoGzZsvDx8UHVqlUxatQoxMfH27mHREWDv78/vvnmGwwZMsT8WFZWFu7evYvXX38dAQEB+Prrr3Hr1i0XVklEREREREREZB0PVxeg14wZMzBu3DgAQJUqVeDv749jx45h2LBh2Lp1K9avXw83N+uy47CwMFSsWFG4zNfXV/h4VFQUOnfujOTkZJQqVQp169bFmTNnMHv2bKxfvx579uxB6dKlrds5oiJq5syZePzxx3H48GEcP34cv//+OwAgKSkJQ4YMwZAhQ/DNN9+YR8ESEREREREREeVnBWJk6969e/H+++/Dzc0Nq1atwoULF3Ds2DEcPnwYpUuXxs8//4w5c+ZY3e7AgQOxa9cu4ZcohL1//z6ef/55JCcnY9iwYbh27RoOHTqEK1euIDIyEv/99x9effVVR+wyUZHg7++PPn36YObMmfjtt98QFxeHRo0a5VjnjTfewPDhw3kjLSIiIiIiIiLK9wpE2Dpt2jQYjUYMGjQIffv2NT/esGFDc8g6Y8YMpKenO7WOr7/+Gnfu3EHt2rUxZ84ceHp6AgBKliyJVatWwcPDA5s3b8bhw4edWgdRYVW8eHEcPHgQixYtwg8//GB+fP78+fDz88Ps2bNx8+ZNF1ZIRESU/6SkpKB69erm6bCuXr3q6pKIiIiIiqx8H7YmJiZi69atACAcNfrss88iMDAQsbGxiIqKcmotP/30EwBgwIABcHd3z7GsYsWKaNeuHQDgxx9/dGodRIWZm5sbBg4ciN69e+PGjRsIDQ01L1u2bBlq1aqF6OhoF1ZIRESUv0ybNg3nz593dRlEREREhAIQth45cgRpaWnw8fFBREREruWenp5o2rQpAOCff/6xqu2oqCg8++yzaNu2LXr37o2ZM2dKR81lZGTg0KFDAIDIyEjhOqbHra2DiMTKlCmDmJgYpKWlYdmyZahRowYSEhLQqVMnbNu2zdXlERERudzp06cxa9YsdOvWzdWlEBEREREKQNh67tw5ANkjRz08xPfzqlKlSo519dq5cyd+/PFHREVFYd26dRg7diyqVKmCpUuX5lr30qVL5mkKTP05qg4ikvPy8oKnpydefvllLF68GLVq1cK1a9fw1FNP4cCBA64uj4iIyGWMRiPeeOMNuLu7Y968ea4uh4iIiIhQAMLWuLg4AEBwcLB0HdMy07paypYti/fffx8HDhxAbGwsHj58iN27d6NTp05ITk7GwIEDsWnTJmEdarXorSM1NRWJiYk5vohIW2BgIP755x88/fTTyMrKwquvvopFixYhPj7e1aURERHluUWLFuHvv//GhAkTEB4e7upyiIiIiAiAeKhoPpKSkgIge3SbjLe3NwAgOTlZV5tvvPFGrsdatmyJzZs3o1evXli/fj1GjhyJLl26wGAw5KhDrRa9dUyfPh1TpkzJ9fjJkyfh7++vax9sFRMT49T2izoeX+cyHd8333wTf//9N6KjozFo0CAMGjQIzzzzDIYNG4aSJUu6uMqCi9evc/H4Os/ly5cBAKdOnULx4sVdW0whlVfXb1JSUp70UxjcuXMHY8eORc2aNTFq1ChXl0NERERE/yffh60+Pj4AgLS0NOk6qampAIBixYrZ1ZfBYMCMGTOwfv16XLhwAcePH0fDhg1z1GGqxfJna+sYN24c3nnnHfPPiYmJCAsLQ926dREYGGjXPuhRv359p/dRlPH4Olf9+vVRv3597Nu3D//73//w008/ISkpCevXr8fff/+NTp064cGDBzh37hw6dOiAKVOmwNfX19VlFxi8fp2Lx9c5TDcGqlOnDv/g4kR5cf3y0z76jRw5Evfu3cPatWtVByUQERERUd7K99MI6Plovp6pBvSqUaMGSpQoAQA57upq2basFr11eHt7IzAwMMcXEVmnTp06WLZsGRISEvD333+jfv36uHv3Lr777jv89NNPiI6OxieffIJWrVpxpBQRERUq27Ztw8qVK9GnTx88+eSTNrXBaa2IiIiInCPfh63Vq1cHAFy5cgUZGRnCdf77778c69rL09MTAHL0Fx4ebn7c1J+z6yAibW5ubmjVqhUOHjyIRYsWISAgwPxcBYAjR44gICAALVq0wCeffIKEhAQXVktERGSflJQUDB48GAEBAZgzZ47N7UyfPh1BQUHmr7CwMAdWSURERFR05fuwtVGjRvD09ERKSgoOHz6ca3l6err5juTNmze3u7+7d+/i9u3bAIAKFSqYH/fw8EBERAQAYPfu3cJtTY87og4iso6XlxcGDhyIO3fuICEhAcnJyVi1ahXKlCkDANi3bx9Gjx6N4sWLY+XKlTAajS6umIiIipoxY8agVq1aVn/t3bvX3Ma0adNw/vx5fPjhhyhbtqzNtYwbNw4JCQnmL84rTUREROQY+X7O1sDAQLRr1w6//vorFi1ahGbNmuVY/sMPPyAxMRElS5ZEmzZt7O5vzpw5MBqNCAoKQtOmTXMs69mzJ/755x8sXboU7777Ltzd3c3Lrly5gq1btwIAevXqZXcdRGQb043qAKBv375o3749Fi5ciEWLFpmnBnnxxRexevVqfPvtt3a9USUiIrLG9evXcfbsWau3e/DgAQDg3LlzmDVrFho2bIi3337brlq8vb1z/J9JRERERI6R70e2AsD48eNhMBiwcOFCrF692vz4sWPHzDeaGjNmTI6bA8ydOxfh4eHo06dPjrZOnjyJN998EydPnszxeEpKCj7++GP873//AwCMHTs2180GBg8ejJCQEJw+fRrvvPMO0tPTAQCxsbHo168fMjIy0KlTJzRu3NhxO09EdgkJCcF7772Hc+fO4ddff0WpUqUAAJs3b0a9evWwbt06F1dIRERFxYoVK2A0Gq3+ateuHYDs32PT0tJw4cIFlC9fHmXKlMnxZRIREYEyZcrgk08+cdWuEhERERVZBSJsjYyMxNSpU5GVlYV+/fqhatWqaNiwISIiInDr1i107twZ7777bo5t4uPjcfnyZdy8eTPH4+np6fjqq69Qr149hIaGokmTJmjSpAlKliyJ8ePHIysrC6+++iree++9XHUEBgbi+++/h4+PD+bPn4/y5cujSZMmqFixInbv3o3w8HAsXrzYqceCiGzXsWNH3L59GydOnECjRo1w79499O7dG+XLl8f169dx584dxMbGurpMIiIiVUlJSbh161auL5M7d+7g1q1bvEEkERERkQsUiLAVyB7dumnTJrRt2xaxsbE4f/486tevj7lz52Ljxo05PtKvJjw8HFOnTkWnTp3g7++Ps2fPIjo6GiVKlEDv3r3x22+/YeHChTAYDMLtn3zySRw8eBB9+vSBwWBAdHQ0SpcujXfeeQeHDx/OMaqAiPKnunXrYt++fXjuuecAZH+ss3z58ggNDUVISAg8PDwwZMgQREdHIy4uzsXVEhERZevRo4fqCFiTmJgYGI1GTJ482XXFEhERERVR+X7OVktdunRBly5ddK07efJk4S+YxYsXx4QJE+yqo27dujmmMyCigsfLywvffvstoqKicOfOnRzLMjMz8fXXX+Prr7+Gv78/vvjiC/Tp0yfX1CJERERERERERJYKzMhWIiJHCwwMxI0bN/DFF19g27ZtOHv2LMqVK5djnaSkJPTv3x/e3t6oW7cuZs6cyakGiIiIiIiIiEiIYSsRFWnu7u5488030bZtW9SoUQPXrl0zfxwzMTERI0eORHBwMADg1KlTGDt2LJo2bYpffvkFly5dcm3xREXEtm3b8P3339u8fVZWFj7++GM+Z4mIiIiIyOkYthIRSQQEBGDOnDn477//8Prrr6NSpUooVqwYLl68iK5du+KRRx5BdHS0q8skKvSOHj2Kl19+GWfPnrVp++XLl2P8+PG5pgwhKmxMfyysUKGCq0shIiIiKrIYthIRaShevDi++eYbXLp0CevWrTM/npCQgCZNmmDEiBHo0KEDHn30UezZswcLFizAkSNHctyshIhs9+abbyIsLAxvv/221c+r+Ph4jBkzBn379kXTpk2dVCEREREREVG2AnWDLCIiV+vUqRNWrVoFg8GA5cuX49dff8W8efPMyyMjI83f+/r64tFHH0XLli3x7LPPwmAwoH79+q4om6hAK1asGObPn48uXbpg3bp16N27t+5tP/jgAyQnJ+OTTz5xYoVERERERETZOLKViMhKffv2RZ8+fbB582asWrVKut7Dhw+xfft2TJs2DQ0bNkSDBg3w2muvITMzMw+rJSocOnfujK5du2LkyJF48OCBrm2OHj2KL7/8EpMnT8518zsiIiIiIiJnYNhKRGQjg8GAvn374uzZs2jevDm+++47JCUlYcuWLejRowfWr1+PiRMnwsPj/3+IYOHChfDz88PgwYPxyy+/ICsry4V7QFSwzJs3D3fv3sW0adM0183KysLQoUNRq1YtDBs2LA+qIyIiIiIiYthKRGS3GjVqYN++fXjxxRfh5+eHTp06Yf369ejRowemTJmCtLQ0XLhwAZ999hkAIDU1Fd988435JluHDx9GSkoKjhw5gr1797p4b4jyr8qVK+O9997D7NmzNW+WtXz5cuzZswdffPEFPD0986hCIiIiIiIq6jhnKxGRkxkMBlSpUgVDhw5F/fr1cfPmTfzyyy9YsWIFoqOj0bhx41zbhIWFISQkBL6+vqhcuTIef/xxDBo0CAaDwQV7QJR/jBkzBsuXL8fbb7+N33//XficsLwpVps2bfK+SCIiIiIiKrI4spWIKI8YDAa0bt0azz//PL777jtcunRJGgTFxMTgyJEj2L17N1asWIHXX38dlSpVwsCBA/HPP//kbeFE+YjpZll//vkn1q1bJ1yHN8UiIiIiIiJX4chWIiIXqVSpErZu3YqjR48iJiYGPj4+2LJlC8qWLYtDhw7lCpJiYmKwZMkSLFmyBADQpEkTTJkyBY0aNULZsmVdsQtELmF5s6yOHTvmWGa6KdasWbN4UywiIiIiIspzDFuJiFzI3d0djRs3Nk8loAyOrl+/jsDAQCxatAi7du3CpUuXcPDgQQDAwYMH0blzZ7i7u6NVq1Y4efIkWrVqhVdffRVdunTJ830hykvz5s1DnTp18NFHH6FZs2YA/v9NsWrXro23337bxRUSEREREVFRxLCViCgfM43MGz58OIYPHw4A+P3337Fw4ULs2LEDiYmJSEtLw19//QUA2LBhAzZs2ICnnnoK5cqVw+XLl+Hm5oYSJUrA09MTzz33HGrUqIHatWu7bJ+IHMF0s6yPPvoIc+bMAQCsWbMGe/bsQVRUFG+KRURERERELsGwlYiogOnQoQM6dOgAADAajViwYAF+/fVXbNy40bzOH3/8Idx21apVAIAuXbpg8eLFKFWqlPMLJnIS082yFi5cCACYMmUK+vXrx5tiERERERGRyzBsJSIqwAwGA9544w288cYbAICHDx9i9uzZiI+Ph9FohJubG8LDw3Hy5En89NNPuH37NgDgl19+QWhoKIKCgtCuXTu8+uqr8PHxwe7duxEeHg4vLy9zEPvXX38hJiYGL7zwgvDO70SuYrpZlmnajOTkZMyaNcvFVRERERERUVHGsJWIqBDx9fXFBx98IFz21VdfAQB++OEHvPTSS0hNTUVCQgLWrVsnvKt7aGgo7t27h4yMDADASy+9hLZt22LZsmWoUKGC83aCyAqdO3dGkyZNcPDgQYwdO5Y3xSIiIiIiIpdyc3UBRESUt5599lnExMTgyJEjWLlyJZo0aSJc7/bt2+ag1WT79u0ICwtD06ZN8eijj+LLL79EQkJCXpRNJLVkyRK0aNECY8eOdXUpRERERERUxHFkKxFREVSqVCmUKlUKjzzyCPr164cHDx5gw4YNCA4OxpEjR1CrVi3s378f//77L5o3b460tDTs3LkT27ZtAwAcPHgQAPDPP/9g6NChqFWrFoDs0bBeXl5o27Ytbty4gfT0dAwfPty8nMgZ6tWrh2+++QZeXl6uLoWIiIiIiIo4hq1ERAQ/Pz80aNAA9evXx9NPPw0A6NWrV671UlNTsXr1arz//vu4ceOG+fEzZ87k+Hfr1q3mZV9//TX8/PxQsWJFDBw4EG+88QbS0tJQsmRJZ+4SERERERERUZ5j2EpERLp5e3tjwIABGDBgAADg3LlzWLVqFY4ePYoNGzagXr16KFGiBMqUKYMyZcrg6NGj2LlzJx48eIDTp09j9OjRGD16NAAgIiICNWvWxK+//gpPT09MmDABt27dQkBAAJ577jlkZmZi165daN++PeeIJSIiIiIiogKBYSsREdmsevXqmDRpknS50WjExYsXERMTg6ioKCxYsMA8Ivbw4cM4fPiwed3hw4ebvx83blyOdry8vNCpUyeMGTMGycnJiIyMhI+Pj4P3hoiIiIiIiMg+DFuJiMhpDAYDqlSpgipVqqB169aYMGECtm3bhoyMDBw6dAgJCQmYM2eOdHtPT0+kp6cjLS0NGzduxMaNG83LKlWqBABIT0+Hv78/ihcvjsaNG6NcuXLIyMjAnj170KVLF7zyyivw9/eHwWBw+v4SERERERFR0cawlYiI8oyHhwc6dOgAAOjcuTMAYMKECfD29sbDhw+RkZGBwMBALFiwAE2aNEHLli1x+vRprFixAjNmzMjR1uXLl3O1v3///hw///nnnxg+fDgaNWqE3r17Y/jw4fD19cXvv/+O4sWL49FHH3XSnhIREREREVFR5ObqAoiIqGgLDg6Gr68vQkJCUKZMGfj6+mLEiBFo1aoV3NzcULduXUyfPh3Xr19HbGwsbt26hTlz5mDdunUYM2ZMrvY6d+6M559/PsdjR44cwfjx49GgQQM0adIEnTp1QosWLfD444/js88+w6VLl5CWloZ79+5h+PDhMBgMqFixIr766ivExMQgKysrrw4HERERERERFWAGo9FodHURRV1iYiKCgoKQkJCAwMBAp/YVHR2N+vXrO7WPoozH17l4fJ2roB7f9PR0eHh45JomIDExETNnzoS/vz/c3Nwwe/Zs3L592+Z+XnvtNfTt2xd79+5F69atERkZadX2BfX4FhQ8vs6VV8c3L38nopx47ImIiIgc8zsRpxEgIqICzdPTU/h4YGAgpk2bZv65f//+WLlyJby8vHDjxg3Mnj0bjRs3BgDs2bPHvF5AQAAaNmyIW7duIS4uDnfv3gUAfPvtt/j222/N60VGRuLxxx8HACxevBhlypRBw4YNkZaWhnbt2qFhw4YoX748SpQokaOu69evIyEhAbVr13bMASAiIiIiIqJ8g2ErEREVCaVLl8Y777xj/vnDDz+Eu7s7gOwA1NvbG8WKFYO3t7f58aysLPz+++9YuHAhfvrpJwBArVq1cO7cOezevRu7d+82t3fr1i0cO3YMAPD999+bHzcYDDAajfDy8kL58uVx8+ZNJCcno2HDhmjfvj2GDh2Kq1evokGDBnBzc4O/v7/TjwURERERERE5B8NWIiIqkkyBKgCUK1dOuI6bmxs6deqETp064erVqwgNDYWXlxf+/fdf/PLLLzh58iT+/PNP3L59Gy+88AISEhKwbt06eHl5wdPTEw8ePIBptp60tDRcvHjR3PaxY8dw7NgxfPLJJ7n6DQkJQfv27XHo0CEEBQUhNTUVpUuXRlhYGNq0aYPu3btj//79GD58OIYOHYohQ4YgKysrxz4RERERERFR3mPYSkREpEOFChXM39eoUSPHKNmsrCy4ueW+52RMTAwMBgOio6Nx/PhxhIaGwtvbG1u2bMHKlSulfd29exerV68WLlu8eHGOn4cOHYqhQ4fCy8sL3bt3R2hoKOrWrQs/Pz+kp6dj69at8PPzw9ixY1GxYkV4e3vn2D4uLg5paWkoXbq0ruNAREREREREcgxbiYiI7CQKWgEgLCwMQHZQW6FCBfMNhvr164cVK1YgMzMTp0+fRtWqVXH9+nX88MMPSEpKQmZmJs6cOYOkpCR4eHjgt99+AwBERETg1KlTSElJydVXWloafvjhB2mNixYtMn8fEBAAPz8/JCYm4uHDh3Bzc0P16tUREhKC8ePH4+zZsyhTpgyCgoJw8eJFpKSkoFevXti3bx8ef/xxlC1bFkD21AnFixfPFeBmZWUhIyMDXl5eVhxFIiIiIiKigo9hKxERkYu4u7ujXr16AICqVavivffeE66XkJCAYsWKwcvLC0lJSdi2bRtCQkLg7++PVatWISgoCMWKFcOhQ4fMI2abNWuG+Ph4+Pr6wsPDAwcPHjS3d//+fdy/f9/8c1ZWFs6ePYuzZ8/i6aefFtbw7rvvmr8vVqwYkpOTzT83bdoUtWrVQnBwMCpXroyRI0cCyL4p2cyZMxEaGorMzEykp6fDx8fHxqNFRERERESU/zFsJSIiyueCgoLM3/v7+6N79+7mnxs2bJhj3RUrViA1NTXHaNPMzEz88MMP2LZtGxo3bowKFSrA3d0d0dHR8PLyQrly5XDy5ElERUXh+PHjCAkJwcOHD3Hjxg0A2aFwZmamuT3LoBUADhw4gAMHDuSqe9myZVi+fDlKlCiB2NhYGAwGNGzYEKVKlULXrl1x//59XLp0CTVr1kR4eLh5Tls3NzfcvXsXnTp1QkJCAtzc3FC2bFnEx8ejUqVKuHTpElq1agUvLy8kJycjISEBW7duxfnz51GjRg3UqVMHBoPBjiNOABAbG4v169ejefPmuHnzpnlkNhERERERyTFsJSIiKmSUH+t3d3dHnz590KdPnxyPd+rUKcfPU6ZMyfHzvXv34OXlBX9/f1y9ehUZGRnYsWMHNm/ejKpVqyIjIwOZmZnYuXMnwsPDkZiYiF27dsHNzQ0eHh7w8vLC3bt3ERsbCwAwGo04evQoAODPP//U3I/p06erLg8ODkZ8fLz5JmSW+vfvj5MnT6Jz586oX78+OnbsCD8/P/PygwcPokSJEihbtiwWL16Mf//91zwyt3nz5qhZs6ZTA9vk5GQcP34cGRkZiIyMdEibqampiI+PR2hoqLl2003a/P39ce/ePXzxxRfYuHEjHj58iEcffRT3799HVlYWkpKSEB0djeLFi+Oxxx7D7t27cfLkyRzt//7773jqqaccUisRERERUWHFsJWIiIiESpQoYf7edIOwAQMGYMCAAdJtjEZjjpDywIEDiI2NRWhoKLKysvDZZ59h//79ALJHTnbo0AGbN2+Gn58fAgMDER8fj6CgIKSnp+P8+fNwd3eHu7s70tLScvUVFxcnrWPZsmUAYJ4+oVixYjAYDHj48CHCwsIQExOjuf8NGjTAE088gYYNGyIzMxMrV67Ev//+i+vXrwMAevToATc3N5w8eRINGzZEhw4dUK5cOQQGBsLb2xvR0dGoVKkSzp8/j2vXrsHf3x+pqanYt28f/vjjD/M+vffee4iPj8cff/yBsLAw9OjRA5cvX0ZsbCwePHgAb29v1KpVC6dPn8bJkyeRmpqKmjVronTp0ti7dy9Kly6Nf//9F1evXgUA1KlTBx07dsTJkyexc+dO+Pj4oEWLFtiyZUuO/Tt9+nSufb5x44bwcQDYvHkzw1YiIiIiIg0Go2g4COWpxMREBAUFISEhAYGBgU7tKzo6mh8DdCIeX+fi8XUuHl/n4vHNzRTMZmZmwt3dPceyzMxM7N69G40bN8bt27dx6NAhdO7cGcnJycjKysLixYtx/fp11KhRAxEREUhPT0erVq2wfv16zJ07F9WqVcP58+cRGBiInTt35pijVqZDhw44d+4c/vvvP2ftcr5QunRp3Lp1Cz179kTjxo2Rnp6OkydPwtvbGyEhIfDx8UHJkiXRtGlTVK9eHQsXLoSnpyfee+89p0/PkJe/E1FOPPZEREREjvmdiCNbiYiIyCVMwZ0yaDU99vjjjwMAKleujMqVKwPIHqEKAGPGjMmxfnR0NAwGA3r27ImePXvmWBYfH4+tW7fiwoULuHTpElq0aIHw8HDcu3cP//zzD6pXr47IyEjUrFkTAHDu3Dns2rULiYmJWLNmDdLS0nDnzh08/fTTaNeuHX788UfcvHkTzZs3R2ZmJgwGA65evYorV67g8uXLuHfvHh4+fAgAKFeuHLy9vZGVlYWHDx+iTp06qFatGvr164eWLVtixowZiIqKQq1atdC5c2fs27cPf//9N3bt2gUAGDZsGAICAnDz5k3ExMSgfPnyCAgIQFRUFCIjI/HUU0/hzp07CA8PR/ny5VG8eHEsX74cu3fvRnJyMlq0aAGDwYBz584hJSUFU6ZMyTXPr5aJEyeajy8REREREanjyNZ8gCNbCw8eX+fi8XUuHl/n4vF1rvx0fFNSUrB161a0atUKxYsXd3U5DpFXx5ejK12Hx56IiIiII1uJiIiI8h0fHx906dLF1WUQEREREZELuLm6ACIiIiIiIiIiIqLCgGErERERERERERERkQMwbCUiIiIiIiIiIiJyAIatRERERERERERERA7AsJWIiIiIiIiIiIjIARi2EhERERERERERETkAw1YiIiIiIiIiIiIiB2DYSkREREREREREROQADFuJiIiIiIiIiIiIHIBhKxEREREREREREZEDMGwlIiIiIiIiIiIicgCGrUREREREREREREQOwLCViIiIiIiIiIiIyAEYthIRERERERERERE5AMNWIiIiIiIiIiIiIgdg2EpERERERERERETkAAxbiYiIiIiIiIiIiByAYSsRERERERERERGRAzBsJSIiIiIiIiIiInIAhq1EREREREREREREDsCwlYiIiIiIiIiIiMgBGLYSEREREREREREROYCHqwsgwGg0AgASExOd3ldSUlKe9FNU8fg6F4+vc/H4OhePr3Px+DpXXh1fUx+m340o7+Tl76NERERE+ZUjfh9l2JoP3L9/HwAQFhbm4kqIiIiIXO/+/fsICgpydRlFSmxsLAD+PkpEREQEZP9uZOvvowxb84Fy5cohJiYGAQEBMBgMTusnMTERYWFhiImJQWBgoNP6Kap4fJ2Lx9e5eHydi8fXuXh8nSsvj6/RaMT9+/dRrlw5p/ZDuZUoUQIAcOXKFQbdLsLXMtfjOXA9ngPX4vF3PZ4D10tISEDFihXNvxvZgmFrPuDm5oYKFSrkWX+BgYF80joRj69z8fg6F4+vc/H4OhePr3Pl1fFl0Ocabm7Zt3IICgri88jF+FrmejwHrsdz4Fo8/q7Hc+B6pt+NbNrWgXUQERERERERERERFVkMW4mIiIiIiIiIiIgcgGFrEeLt7Y1JkybB29vb1aUUSjy+zsXj61w8vs7F4+tcPL7OxeNbNPA8ux7PgevxHLgez4Fr8fi7Hs+B6zniHBiMRqPRgTURERERERERERERFUkc2UpERERERERERETkAAxbiYiIiIiIiIiIiByAYSsRERERERERERGRAzBsJSIiIiIiIiIiInIAhq1FxJYtW9CuXTuUKFECfn5+iIiIwGeffYasrCxXl1agDRgwAAaDQfUrJSXF1WXmaxcvXsS3336L1157DQ0bNoSHhwcMBgOmTZumue3evXvRvXt3lCpVCsWKFUOdOnUwdepUHnMLthzfyZMna17XZ86cycO9yJ+MRiN27dqF0aNH49FHH0Xx4sXh5eWFcuXKoVevXoiKilLdntevOluPL69f/TZs2IA33ngDjRs3RtmyZeHl5YXixYujZcuWmDdvHtLS0qTb8vot/JKSkjBz5kz06tULNWvWRHBwMLy8vFC+fHn07t0bf/31l6tLLPTu37+PFStW4MUXX0SNGjVQrFgx+Pr6om7duhg9ejRu3Ljh6hKLhB07dmD69Ol45plnUL58efP/JVevXnV1aYUK36+6jj3vx8h+9r6nIMew5/diISMVetOnTzcCMAIwVqlSxdigQQOjm5ubEYCxW7duxszMTFeXWGD179/fCMBYvXp1Y2RkpPArNTXV1WXma8OHDzdfn5ZfU6dOVd1uxYoVRnd3dyMAY/ny5Y2NGjUyenp6GgEYmzZtanzw4EEe7UH+ZsvxnTRpkhGAMSwsTHpdX758OQ/3In/aunWr+Xi6ubkZa9SoYWzUqJHR39/f/PiECROE2/L61Wbr8eX1q19kZKQRgNHb29tYuXJlY5MmTYzly5c3H9/GjRsb4+Licm3H67doOPf/2rv34Cir+4/jnw0kBEII90gSopOAMmOBICSWhGJJDciliqN0KsaCQGEMBWulcisIpYCGkWptoSN2UEphMG25CTpAisQSRFAIE5Q7CCNCBQIRc9k1e35/+NuVlSS72TzJbpb3a4Yh+zwnh29Ovuye893nOXv8uDsX2rVrZ+6++27Tq1cvEx0d7T4+f/78QIcZ0rKzs91jHR0dbVJSUkz37t3d//86dOhgPvzww0CHGfJiYmKqnUudO3cu0KGFDNargeXvegzWqM+aAtbxd15cE4qtIa6wsNDYbDYTFhZm1qxZ4z5+8OBBExsbaySZJUuWBDDCps1VbF25cmWgQ2myFixYYEaMGGF+//vfm3feecc88sgjXl/cT58+bVq0aGEkmdzcXON0Oo0xxpw5c8bcddddRpKZPHlyY/0IQc2f8XUVq55//vnGC7QJ2r59u+nWrZtZtmyZuXLlivt4ZWWlmTlzpvuFefPmzR7fR/76xt/xJX99t3LlSrNz505jt9s9ju/Zs8ckJCQYSSYnJ8fjHPl76/jyyy/Nq6++ao4dO+ZxvLKy0uTm5hpJxmazUexrQNnZ2WbkyJFmx44dxuFwuI+fOHHCpKWlud9YKisrC2CUoS89Pd2MHTvWLFu2zOzfv59iq8VYrwaeP+sFWMffOS+s5c+8uDYUW0PcsGHDjCQzceLEm8794x//cL8r/v2Egm8otlrPNaa1vbjn5OQYSWbw4ME3ndu9e7eRZMLDw82FCxcaMtQmyZfxpVjlm2vXrnksfr9v6NCh7isybkT++sbf8SV/rfHWW28ZSSYuLs7jOPkLF9ccc9asWYEOJWRdvny5xnNnz541ERERRpL597//3YhRgWKrtVivBh9f1guwjr9zXjSemubFtWHP1hBWWlqqHTt2SJLGjx9/0/lRo0apTZs2unz5MvuAoMkwxmj9+vWSqs/r9PR09ejRQw6HQxs3bmzs8HALadOmjZo3b17j+aysLEnSsWPH3MfIX9/5M76wTo8ePSRJZWVl7mPkL25UXY7AWu3bt6/xXNeuXd2/A54H0VSxXgWY8zYF/sx5KLaGsAMHDshutysyMlL33HPPTefDw8OVmpoqSdq7d29jhxdS/vnPf2rkyJHKzMzUz3/+c7366qu6du1aoMMKSWfPnnV/IERGRka1bVzHyev62blzp0aNGqXMzEw9+uijys3N1YULFwIdVpPh+qCgli1buo+Rv9apbnxvRP7Wz549eyTJY/5A/sLFGKMPPvhAkqqdY6JxeHseBIId61XAO57rA6+6ebE3NZfP0eQdP35ckpSYmFjjOyVJSUnKz893t4V/tmzZ4vF43bp1ev7557VmzRo98MADAYoqNLlytUWLFoqLi6u2TVJSkkdb+KegoMDj8b/+9S/NmzdPy5Yt09ixYwMTVBNhjFFeXp4kz6IU+WuNmsb3RuRv3VVVVemLL77Qpk2bNGPGDEVFRWnx4sXu8+QvysrKdOLECS1ZskSFhYXq37+/HnvssUCHdUsqKipyX+VU0/MgEOxYrwK182XOi4bhbV7sDVe2hrCSkhJJUrt27Wps4zrnaou6SU5O1qJFi1RUVKTS0lJ99dVX2rZtm+69916VlJRo5MiR2r9/f6DDDCmuXG3btq1sNlu1bcjr+unSpYtmzZqlffv26fLlyyorK9Pu3bs1dOhQlZeXa9y4cdq8eXOgwwxqK1as0IEDBxQREaFf//rX7uPkrzVqGl+J/PXHyy+/LJvNpubNm6tr166aPHmyfvKTn+iDDz5QWlqaux35e+tKSUmRzWZTVFSUevfurQ0bNmjevHnKz8+v9dZHNIyqqipNmTJFkpSZmam+ffsGOCLAP6xXgdrVNudFw/B1XuwNxdYQ5rrcPCIiosY2LVq0kCSVl5c3SkyhZs6cOZo5c6Z69eql6OhotW7dWllZWSooKFBaWpoqKys1ffr0QIcZUsjrhjdp0iQtXLhQ/fr1U/v27dWyZUulp6dry5Ytevjhh2WM0TPPPCNjTKBDDUoff/yxnn76aUnSH/7wByUnJ7vPkb/1V9v4SuSvP+Lj45WRkaG0tDTFxsZK+nYbhrVr16qqqsrdjvy9dfXp00cZGRnq2bOnoqKidP36deXl5amwsDDQod2SZs2apffff1/R0dF67bXXAh0O4DdeV4CaeZvzomH4Oi/2hreiQ1hkZKQkyW6319imsrJSEvt/WC0iIkILFizQkCFD9N5776mkpKTWd2zhO/I6cGw2m1544QWtX79eJ0+e1KFDh9S7d+9AhxVUTp8+rREjRqiiokKjR4/WtGnTPM6Tv/XjbXxrQ/7WbNSoURo1apT78d69ezVp0iQtWrRIV65c0fLlyyWRv03Jc889p02bNtX5+1auXKn+/ftXe9zF4XBoxYoVevbZZ/XAAw9o586dGjBgQL3iDUVW/w5c/vrXvyo3N1fNmzfX2rVrWXzXoqF+B7AOrytA9eoz50X9+Dov9oZiawjz5ZYLX27dgH9ckzSn06lTp05xi5dFXLl69epVGWOqvZWVvG44d955p9q3b68rV67oxIkTFKtucOHCBWVlZemLL77Q8OHD9cYbb9yUn+Sv/3wZX2/IX9/ce++92rp1q5KSkvTaa69pxowZuv3228nfJuT8+fM6evRonb/v66+/9tomPDxcOTk5Ki8v17Rp0zRv3jz3p4njOw3xO1i3bp0mT54sm82mN954Q8OHD69PiCGvIf8fwBqsV4GbWTHnhXVqmhd7wzYCIax79+6Svv304G+++abaNqdOnfJoC+uEh4e7v65p/FF3rlytrKzU+fPnq21DXjcsV26T19+5cuWKsrKydPLkSd13333Ky8vzeA5wIX/94+v4+oL89U1cXJxSUlLkdDpVVFQkifxtSlavXi1jTJ3/3H///T7/G65C38cff9xQP0aTZvXvYOvWrXriiSfkdDr15z//WY8//ngj/0RNT2P8P0D9sF4FPFk554V1qpsXe0OxNYT16dNH4eHhqqioqHYi7HA4tG/fPknfVuthrcOHD7u/TkhICGAkoSUxMVG33XabJGn37t3VtnEdJ6+td+nSJf3vf/+TRF67XL9+XcOGDVNxcbFSU1O1efPmGm91I3/rri7j6w35Wzeuha/rb/IXN/p+fqDhFBQU6NFHH5XD4dDixYuVk5MT6JAAS7BeBb5j5ZwX1qvrvIdiawhr06aN+53Zv/3tbzedz8vLU2lpqTp06KAf//jHjRxd6HvppZckST169FB8fHyAowkdNptNDz/8sKTq87qwsFBHjhxReHi4HnzwwcYOL+QtXbpUxhjFxMQoNTU10OEEXGVlpR566CHt3btXd999t959911FR0fX2J78rZu6jq835K/vzpw5437n3rXdAvmLG23YsEGSlJKSEtA4Qt1HH32kn/70pyovL9fMmTM1Y8aMQIcEWIb1KvAtq+e8sFZ182KvDELaf//7X2Oz2UxYWJhZs2aN+/jBgwdNbGyskWRefPHFAEbYdG3bts3MmDHDnDp1yuP41atXzZQpU4wkI8lj3OHdmDFjjCSzYMGCGtucOnXKREREGEkmNzfXOJ1OY4wxZ86cMXfddZeRZJ566qnGCrlJ8Ta+xcXF5qmnnjLFxcUex8vLy83ChQtNWFiYkWQWLVrUGOEGtW+++caMHDnSSDLJycnm/PnzPn0f+esbf8aX/PXd/v37zdy5c83JkydvOvfOO++YHj16GElm2LBhHufI31vHSy+9ZNasWWOuX7/ucby0tNS88MILJjw83Egyb731VoAiDH1HjhwxHTt2NJJMTk5OoMPB/3PN8c+dOxfoUEIC69Xg48t6DNbxd00B6/g7L66NzRhjLCj0IogtXLhQv/vd7yRJSUlJat26tYqLi+V0OjV8+HBt3LhRzZo1C3CUTc+GDRvcV/jEx8crLi5ODodDn3zyiex2u2w2m+bOnat58+YFNtAgt3v3bj300EPux9evX1dlZaVatWrlcdvEgQMH1LVrV/fjVatW6cknn5TT6VR8fLw6d+6s4uJiORwO9e3bV7t27VJUVFSj/izBqK7je/DgQfXp00eS1KlTJyUmJkqSPv30U5WVlUmSxo8frxUrVtzyG7WvXbtWo0ePlvTtPmKdO3eutl2XLl2Ul5fncYz89c6f8SV/fffee+9p0KBBkqTbbrtNCQkJstvtOnv2rK5evSpJSk1N1datW9WxY0eP7yV/bw1jx47Vm2++qWbNmik5OVlt27bV5cuXde7cOfc8Z86cOZo/f36gQw1ZQ4YM0bZt22Sz2dS/f/8an7fGjRuncePGNXJ0t44pU6Zo7dq17seXL1+W9O0HNoWFfXujaEZGhjZu3BiQ+EIB69XA8nc9BmvUZ00Ba9RnXlyT5g0VLILH7Nmz1bt3b/3xj3/URx99pAsXLqhnz5568skn9atf/YoXLj/17dtXs2fP1p49e3TixAkVFxfLGKP4+Hj96Ec/Uk5ODnsL+cDhcLgnrTcqKytzF0ckqaqqyuP8L37xC3Xr1k2LFy9WYWGhPvnkEyUlJemxxx7T9OnTFRkZ2eCxNwV1Hd877rhDCxYscN8OfPToUdntdnXu3FnDhg3ThAkTNGTIkEaLP5hVVla6vz5+/LiOHz9ebbvqPq2S/PXOn/Elf33Xu3dvvfLKK8rPz9fhw4d15MgR2e12dejQQf3799fPfvYzZWdnq3nzm6eK5O+tYerUqerSpYt27dqlzz77TKdPn1ZERISSkpI0YMAATZo0Sf369Qt0mCHN9TxojFFhYWGN7fhAp4b11VdfVTuXKikpcX997dq1xgwp5LBeDSx/12OwRn3WFLBGfebFNeHKVgAAAAAAAACwAB+QBQAAAAAAAAAWoNgKAAAAAAAAABag2AoAAAAAAAAAFqDYCgAAAAAAAAAWoNgKAAAAAAAAABag2AoAAAAAAAAAFqDYCgAAAAAAAAAWoNgKAAAAAAAAABag2AoAAAAAAAAAFqDYCgAAAAAAAAAWoNgKAAAAAAAAABag2AoAQSY1NVU2m61Ofzp37uzRx5w5c2Sz2ZSXl2dZnwAAAAAAoHbNAx0AAOA7xhjFxMQoIyPD4/ilS5d09OhRtWjRQv369bvp++655x6Px2+//bbCw8M1ZMgQy/oEAAAAAAC1sxljTKCDAADUbunSpXr22Wc1cOBA7dq1q9a2n3/+uRISEpSZman8/HxL+gQAAAAAAN6xjQAANAFFRUWSpN69e3tt+/bbb0uSRowYYVmfAAAAgNUmTJggm82mrKwsVXcd2Ny5c2Wz2dSzZ09VVlYGIEIAqDuKrQDQBFBsBQAAQKh5+eWXlZSUpB07duiVV17xOLd3714tWrRIERERWr16tVq0aBGgKAGgbii2AkCQczgc+vTTTyVJvXr1qrVtRUWF/vOf/+jOO+9U9+7dLekTAAAAaAitW7fW3//+dzVr1kwzZ87U4cOHJUllZWV64oknVFVVpQULFnBxAIAmhWIrAAS5I0eOyG63q1mzZvrBD35Qa9v8/HyVlZV5vaq1Ln0CAAAADSU9PV3PPfecKioqlJ2dLbvdrt/85jc6fvy4Bg4cqGnTpgU6RACok+aBDgAAUDvX7f7du3dXy5Yta21b1y0EfOkTAAAAaEjz58/Xu+++qwMHDmjEiBHavn272rRpo1WrViksjGvEADQtPGsBQJCry96qW7duVUxMjAYMGGBZn7WZN2+eIiMj69UHAAAAbm3h4eFavXq1IiMjtX37dknSn/70J91+++0BjgwA6o5iKwAEOVdh1NveqkVFRTp79qyGDBmi8PBwS/r0ZsKECSooKKhXHwAAAEC3bt2UmJgoSYqJidEjjzwS4IgAwD8UWwEgyB06dEiS96tQfd1CoC59epOQkKC0tLQazxtjVFFRUa9/AwAAAKFv9uzZOnbsmMLCwnTt2jU988wzgQ4JAPxCsRUAgtjFixd18eJFSb4VW8PCwjR06FDL+ty3b5+GDx+utm3bKioqSikpKVq7dq37/Pe3ERg7dqx69OihnTt3ql+/foqMjNTrr7/uU18AAAC4NRUUFGjp0qVq1aqVtm/frrZt2+r111/X5s2bAx0aANQZH5AFAEHMdbt/+/btlZCQUGO7S5cu6cMPP9QPf/hDdezY0ZI+9+zZo0GDBiklJUXLly9Xp06ddOjQIX322We19n/x4kWNHz9es2bNUnJysjp16uR3XwAAAAhtpaWlGjNmjJxOp5YsWaLMzEz95S9/0eOPP64JEyaouLhYnTp1CnSYAOAziq0AEMR83Vt1y5YtcjqdPm0h4Gufv/3tb5WYmKj333/fvQfs/fff77X/q1evauPGjRo4cKD72IABA/zqCwAAAKFt6tSpOnPmjAYPHqycnBxJ0ujRo7Vp0yatW7dOEydO1Pr16wMcJQD4jm0EACCIBWq/1rKyMu3Zs0djxozx+mFb3xcTE+NRaK1PXwAAAAhd69ev15tvvql27dpp5cqVHueWL1+uuLg4bdiw4aZzABDMKLYCQBBzXYVaW2HU4XBo27ZtSkxMVM+ePS3ps6SkRE6nU/Hx8XWMWIqNjbWsLwAAAISmixcvauLEiZKkZcuWKS4uzuO8qwBrs9n09NNP68yZMwGIEgDqjm0EACBI2e12HTlyRFLtt/wXFBSotLRU2dnZlvXZrl07hYWF6fPPP69j1JLNZrOsLwAAAISm2NhYffnll7W2GTx4sJxOZyNFBADW4MpWAAhSERERstvtMsaob9++NbaryxYCvvbZqlUrpaena9WqVXI4HHUPvoH6AgAAAAAgmHFlKwA0cVu2bFGrVq00aNAgS/t98cUXNWjQIN13332aOnWqOnfurOLiYpWXl2v69OkB6wsAAAAAgGDFla0A0MQdO3ZMX3/9tSIjIy3tNz09XQUFBWrdurV++ctf6sEHH9TKlSt1xx13BLQvAAAAAACClc0YYwIdBAAAAAAAAAA0dVzZCgAAAAAAAAAWoNgKAAAAAAAAABag2AoAAAAAAAAAFqDYCgAAAAAAAAAWoNgKAAAAAAAAABag2AoAAAAAAAAAFqDYCgAAAAAAAAAWoNgKAAAAAAAAABag2AoAAAAAAAAAFqDYCgAAAAAAAAAWoNgKAAAAAAAAABag2AoAAAAAAAAAFvg/zv5zVbTq+mIAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 7), sharey=False)\n", "\n", "# Panel 1: Dispersion over time\n", "ax_cur = axes[0]\n", "ax_cur.plot(times/T_circ, dispersion, color='black')\n", "ax_cur.set_title(\"Phase-space density dispersion\")\n", "ax_cur.set_xlabel(r\"$T/T_{\\rm circ}$\")\n", "ax_cur.set_ylabel(\"Dispersion\")\n", "ax_cur.grid(visible=True, color='grey', alpha=0.5, linewidth=0.5)\n", "\n", "# Add the vertical arrow\n", "arrow_x = 25 # x-coordinate in T/T_circ\n", "arrow_y_start = 0.3 * (max(dispersion) - min(dispersion)) + min(dispersion) # y=0.3 in relative \n", "arrow_y_end = min(dispersion) + 0.03 * (max(dispersion) - min(dispersion)) # 0.03 in relative \n", "ax_cur.annotate(\n", " \"Steady state\\n reached\",\n", " xy=(arrow_x, arrow_y_end),\n", " xytext=(arrow_x, arrow_y_start),\n", " arrowprops=dict(arrowstyle=\"->, head_width=0.3,head_length=0.5\", color='black'),\n", " ha='center',\n", " va='bottom',\n", " fontsize=20\n", ")\n", "\n", "# Panel 2\n", "ax_cur = axes[1]\n", "H_final, xedges, yedges = np.histogram2d(\n", " x_nt[-1], vx_nt[-1], bins=[nx, nvx], range=[[x_min, x_max], [vx_min, vx_max]]\n", ")\n", "# Compute the 5th and 9th percentiles of the histogram counts\n", "vmin = np.percentile(H_final, 2)\n", "vmax = np.percentile(H_final, 98)\n", "\n", "# Create the density plot with the specified scaling\n", "X, Y = np.meshgrid(xedges, yedges)\n", "c = ax_cur.pcolormesh(X, Y, H_final.T, shading='auto', cmap='Greys', vmin=vmin, vmax=vmax)\n", "#fig.colorbar(c, ax=ax_cur, label=\"Number of Particles\")\n", "ax_cur.set_title(\"Final Phase-space density distribution\")\n", "ax_cur.set_xlabel(\"x\")\n", "ax_cur.set_ylabel(\"vx\")\n", "\n", "# Overlay the initial distribution, masking zero values\n", "H_initial, _, _ = np.histogram2d(\n", " x_nt[0], vx_nt[0], bins=[nx, nvx], range=[[x_min, x_max], [vx_min, vx_max]]\n", ")\n", "H_initial_masked = np.ma.masked_where(H_initial == 0, H_initial)\n", "ax_cur.pcolormesh(X, Y, H_initial_masked.T, shading='auto', cmap='Oranges', alpha=0.5)\n", "\n", "# Adjust layout\n", "plt.tight_layout()\n", "\n", "plt.savefig(\"../Figures/phase_mixing.png\", format=\"png\", dpi=300, \n", " facecolor='white', bbox_inches='tight')\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "63766af2-7347-4239-8e7c-5c8d2bdff0c7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f512e0b2-efe4-4a27-b644-756930048e02", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.15" } }, "nbformat": 4, "nbformat_minor": 5 }