{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T14:31:06.933693Z",
     "start_time": "2025-10-09T14:30:56.128928Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T12:20:08.467608Z",
     "iopub.status.busy": "2026-02-03T12:20:08.466612Z",
     "iopub.status.idle": "2026-02-03T12:20:12.196728Z",
     "shell.execute_reply": "2026-02-03T12:20:12.195733Z",
     "shell.execute_reply.started": "2026-02-03T12:20:08.467608Z"
    }
   },
   "source": [
    "# Metrics notebook "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-02-06T16:09:27.092003Z",
     "start_time": "2026-02-06T16:09:21.406174Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:42.089263Z",
     "iopub.status.busy": "2026-03-24T18:48:42.089263Z",
     "iopub.status.idle": "2026-03-24T18:48:45.868679Z",
     "shell.execute_reply": "2026-03-24T18:48:45.866684Z",
     "shell.execute_reply.started": "2026-03-24T18:48:42.089263Z"
    }
   },
   "outputs": [],
   "source": [
    "# Notebook display options, change as your preference/system\n",
    "%matplotlib inline\n",
    "%config InlineBackend.print_figure_kwargs={'facecolor' : \"w\",'bbox_inches':None}\n",
    "\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['figure.dpi'] = 120"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-02-06T16:09:49.492245Z",
     "start_time": "2026-02-06T16:09:28.451421Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:45.869674Z",
     "iopub.status.busy": "2026-03-24T18:48:45.869674Z",
     "iopub.status.idle": "2026-03-24T18:48:54.441610Z",
     "shell.execute_reply": "2026-03-24T18:48:54.440611Z",
     "shell.execute_reply.started": "2026-03-24T18:48:45.869674Z"
    }
   },
   "outputs": [],
   "source": [
    "# Notebook display options, change as your preference/syste\n",
    "\n",
    "import sys\n",
    "sys.path.insert(0,'..')\n",
    "sys.path.insert(0,'../..')\n",
    "\n",
    "from matplotlib import pyplot as plt \n",
    "import numpy as np \n",
    "\n",
    "from scipy.constants import micro, nano, milli\n",
    "\n",
    "import pyMOE as moe \n",
    "from pyMOE.generate import *  \n",
    "from pyMOE.propagate import * \n",
    "from pyMOE.metrics import * \n",
    "from pyMOE.optimizer import * \n",
    "from pyMOE.ensemble import * "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:42.328982Z",
     "start_time": "2025-10-09T15:19:42.320983Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:54.442606Z",
     "iopub.status.busy": "2026-03-24T18:48:54.442606Z",
     "iopub.status.idle": "2026-03-24T18:48:54.448030Z",
     "shell.execute_reply": "2026-03-24T18:48:54.446036Z",
     "shell.execute_reply.started": "2026-03-24T18:48:54.442606Z"
    }
   },
   "outputs": [],
   "source": [
    "# These metrics could be used to build specific loss functions "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:42.710413Z",
     "start_time": "2025-10-09T15:19:42.629872Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:54.449025Z",
     "iopub.status.busy": "2026-03-24T18:48:54.449025Z",
     "iopub.status.idle": "2026-03-24T18:48:55.152806Z",
     "shell.execute_reply": "2026-03-24T18:48:55.151813Z",
     "shell.execute_reply.started": "2026-03-24T18:48:54.449025Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#number of pixels \n",
    "x_pixel = 100\n",
    "y_pixel = 100\n",
    "\n",
    "\n",
    "#size of the rectangular mask \n",
    "aperture_width  = 50e-6 #m\n",
    "aperture_height = 50e-6\n",
    "\n",
    "pixsize = 1e-6 #m\n",
    "\n",
    "wavelength = 500e-9 #m\n",
    "focal_length = 150e-6\n",
    "\n",
    "zmin = wavelength\n",
    "zmax = 1.2* focal_length\n",
    "nzs = 500\n",
    "\n",
    "radius = aperture_width/2 \n",
    "\n",
    "# Create Aperture\n",
    "aperture1 = moe.generate.create_empty_aperture(-aperture_width/2, aperture_width/2, x_pixel, -aperture_height/2, aperture_height/2, y_pixel)\n",
    "\n",
    "# Populate Aperture with Fresnel mask \n",
    "mask1 = moe.generate.fresnel_phase(aperture1, focal_length, wavelength )\n",
    "\n",
    "#moe.plotting.plot_aperture(mask1)\n",
    "\n",
    "\n",
    "##############\n",
    "###Fresnel mask with a truncated circular aperture \n",
    "\n",
    "# Create empty mask\n",
    "aperture2 = moe.generate.create_empty_aperture(-aperture_width/2, aperture_width/2, x_pixel, -aperture_height/2, aperture_height/2, y_pixel)\n",
    "\n",
    "\n",
    "# and truncate around radius\n",
    "mask2 = moe.generate.fresnel_phase(aperture2, focal_length, wavelength, radius=radius)\n",
    "#moe.plotting.plot_aperture(mask2)\n",
    "\n",
    "# Discretize mask in number of levels\n",
    "# Select exact position of contours  in phase\n",
    "phase_vals = np.linspace(-np.pi, np.pi, 16)\n",
    "\n",
    "mask2.discretize(np.array( phase_vals)[:] ) \n",
    "#moe.plotting.plot_aperture(mask2)\n",
    "\n",
    "# Generate a uniform field\n",
    "field = moe.field.create_empty_field_from_aperture(mask2)\n",
    "\n",
    "field = moe.field.generate_uniform_field(field, E0=1)\n",
    "\n",
    "# Modulates the field \n",
    "field = moe.field.modulate_field(field, amplitude_mask=None, phase_mask=mask2 )\n",
    "\n",
    "moe.plotting.plot_aperture(mask2)\n",
    "moe.plotting.plot_field(field)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:44.504415Z",
     "start_time": "2025-10-09T15:19:42.847416Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T21:42:13.652297Z",
     "iopub.status.busy": "2026-02-03T21:42:13.651799Z",
     "iopub.status.idle": "2026-02-03T21:42:14.950602Z",
     "shell.execute_reply": "2026-02-03T21:42:14.949106Z",
     "shell.execute_reply.started": "2026-02-03T21:42:13.652297Z"
    }
   },
   "source": [
    "## Point Spread Function (PSF)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:44.504415Z",
     "start_time": "2025-10-09T15:19:42.847416Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:55.153800Z",
     "iopub.status.busy": "2026-03-24T18:48:55.152806Z",
     "iopub.status.idle": "2026-03-24T18:48:55.887554Z",
     "shell.execute_reply": "2026-03-24T18:48:55.886560Z",
     "shell.execute_reply.started": "2026-03-24T18:48:55.153800Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Progress: [####################] 100.0%\n",
      "Elapsed: 0:00:00.452021\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "###Propagate field *10and calculate in plane YZ, using npix bins in Y\n",
    "zmin = wavelength*10\n",
    "zmax = 1.2* focal_length\n",
    "nzs = 100\n",
    "\n",
    "# Creates a screen in YZ plane with [-aperture_height/2, aperture_height/2] and [zmin, zmax] and \n",
    "ymin, ymax = -aperture_height/2, aperture_height/2\n",
    "xmin, xmax = -aperture_width/2, aperture_width/2\n",
    "\n",
    "\n",
    "x_pixel, y_pixel = 100,100\n",
    "\n",
    "x = np.linspace(xmin, xmax, x_pixel )\n",
    "y = np.linspace(ymin, ymax, y_pixel )\n",
    "z = np.linspace(zmin, zmax, nzs)\n",
    "\n",
    "\n",
    "screen = moe.field.Screen(x,y,z)\n",
    "sfreq = moe.metrics.spatial_freq_space(screen)\n",
    "# Propagate the field \n",
    "EXYZ = moe.propagate.Bluestein(field, screen, wavelength)\n",
    "\n",
    "#This will show a PSF at the focal length  \n",
    "Exy = moe.field.Screen(x,y,z)\n",
    "Exy.screen = np.reshape(EXYZ.screen[:,:, int(focal_length/zmax*nzs)], (x_pixel,y_pixel,1))\n",
    "\n",
    "moe.plotting.plot_screen_XY(Exy, which='amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:44.850230Z",
     "start_time": "2025-10-09T15:19:44.509418Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T21:42:15.197515Z",
     "iopub.status.busy": "2026-02-03T21:42:15.197016Z",
     "iopub.status.idle": "2026-02-03T21:42:15.450405Z",
     "shell.execute_reply": "2026-02-03T21:42:15.448911Z",
     "shell.execute_reply.started": "2026-02-03T21:42:15.197515Z"
    }
   },
   "source": [
    "## Optical Transfer Function (OTF)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:45.670645Z",
     "start_time": "2025-10-09T15:19:44.853229Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:55.888549Z",
     "iopub.status.busy": "2026-03-24T18:48:55.887554Z",
     "iopub.status.idle": "2026-03-24T18:48:56.464227Z",
     "shell.execute_reply": "2026-03-24T18:48:56.463237Z",
     "shell.execute_reply.started": "2026-03-24T18:48:55.888549Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OTF from defocused PSF\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OTF from focused PSF\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OTF for ideal (focused) PSF\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\jcunha377\\Desktop\\pyMOE-main-v2.0\\notebooks\\8 - Metrics\\../..\\pyMOE\\metrics.py:162: RuntimeWarning: invalid value encountered in arccos\n",
      "  OTF = (2 / np.pi) * (np.arccos(rho / fc) - (rho / fc) * np.sqrt(1 - (rho / fc)**2))\n",
      "C:\\Users\\jcunha377\\Desktop\\pyMOE-main-v2.0\\notebooks\\8 - Metrics\\../..\\pyMOE\\metrics.py:162: RuntimeWarning: invalid value encountered in sqrt\n",
      "  OTF = (2 / np.pi) * (np.arccos(rho / fc) - (rho / fc) * np.sqrt(1 - (rho / fc)**2))\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1921040b1d0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Calculate the OTF out of focus and in focus \n",
    "import scipy.fftpack as sfft\n",
    "\n",
    "print(\"OTF from defocused PSF\")\n",
    "o1 = moe.metrics.calculate_OTF(np.abs(screen.screen[:,:,-1])**2 , plot_OTF=True)\n",
    "\n",
    "print(\"OTF from focused PSF\")\n",
    "o2 = moe.metrics.calculate_OTF(np.abs(Exy.screen[:,:,-1])**2  , plot_OTF=True)\n",
    "\n",
    "print(\"OTF for ideal (focused) PSF\")\n",
    "\n",
    "D = np.max(Exy.x)*2\n",
    "OTF_ideal = moe.metrics.theoretical_ideal_OTF(Exy, D, wavelength, focal_length)\n",
    "\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.imshow( OTF_ideal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:46.822430Z",
     "start_time": "2025-10-09T15:19:45.677645Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:56.465222Z",
     "iopub.status.busy": "2026-03-24T18:48:56.465222Z",
     "iopub.status.idle": "2026-03-24T18:48:56.992456Z",
     "shell.execute_reply": "2026-03-24T18:48:56.990466Z",
     "shell.execute_reply.started": "2026-03-24T18:48:56.465222Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x192104c82d0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure() \n",
    "\n",
    "plt.title(\"|PSF| on focus\")\n",
    "plt.imshow(np.abs(Exy.screen)**2) \n",
    "\n",
    "plt.figure()\n",
    "\n",
    "plt.title(\"MTF from defocused PSF\")\n",
    "plt.imshow(np.abs(o1) )\n",
    "\n",
    "plt.figure()\n",
    "plt.title(\"MTF from focused PSF\")\n",
    "plt.imshow(np.abs(o2) )\n",
    "\n",
    "plt.figure()\n",
    "plt.title(\"MTF from ideal PSF\")\n",
    "plt.imshow(np.abs(OTF_ideal) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:47.083422Z",
     "start_time": "2025-10-09T15:19:46.828432Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:56.994448Z",
     "iopub.status.busy": "2026-03-24T18:48:56.993452Z",
     "iopub.status.idle": "2026-03-24T18:48:57.002302Z",
     "shell.execute_reply": "2026-03-24T18:48:57.001302Z",
     "shell.execute_reply.started": "2026-03-24T18:48:56.994448Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2.5e-05, 4.9999999999999996e-06)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max([max(Exy.x), max(Exy.y)]), Exy.z[0]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:47.296429Z",
     "start_time": "2025-10-09T15:19:47.088424Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:57.003297Z",
     "iopub.status.busy": "2026-03-24T18:48:57.003297Z",
     "iopub.status.idle": "2026-03-24T18:48:57.152135Z",
     "shell.execute_reply": "2026-03-24T18:48:57.149141Z",
     "shell.execute_reply.started": "2026-03-24T18:48:57.003297Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1921072f810>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig= plt.figure() \n",
    "plt.title(\"Airy pattern at focus\")\n",
    "plt.imshow(np.abs(Exy.screen) )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:48.223018Z",
     "start_time": "2025-10-09T15:19:47.303428Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T21:42:18.755898Z",
     "iopub.status.busy": "2026-02-03T21:42:18.755399Z",
     "iopub.status.idle": "2026-02-03T21:42:19.461302Z",
     "shell.execute_reply": "2026-02-03T21:42:19.459808Z",
     "shell.execute_reply.started": "2026-02-03T21:42:18.755898Z"
    }
   },
   "source": [
    "## Modulation Transfer Function (MTF) and Phase Transfer Function (PTF) & Strehl ratio "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:48.223018Z",
     "start_time": "2025-10-09T15:19:47.303428Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:57.154126Z",
     "iopub.status.busy": "2026-03-24T18:48:57.153131Z",
     "iopub.status.idle": "2026-03-24T18:48:57.972186Z",
     "shell.execute_reply": "2026-03-24T18:48:57.971193Z",
     "shell.execute_reply.started": "2026-03-24T18:48:57.154126Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# MTF and OTF at DEFOCUSED PLANE \n",
    "\n",
    "strehlv1 = moe.metrics.strehl_ratio(np.abs(screen.screen[:,:,-1] )**2, screen, max([max(Exy.x), max(Exy.y)])*2, wavelength, screen.z[-1], strehl_from_mtf=True, plot_MTF=True, plot_OTF=True) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:49.072927Z",
     "start_time": "2025-10-09T15:19:48.226923Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:57.973181Z",
     "iopub.status.busy": "2026-03-24T18:48:57.973181Z",
     "iopub.status.idle": "2026-03-24T18:48:58.618980Z",
     "shell.execute_reply": "2026-03-24T18:48:58.616991Z",
     "shell.execute_reply.started": "2026-03-24T18:48:57.973181Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# MTF and OTF at FOCUSED PLANE\n",
    "\n",
    "strehlv2 = moe.metrics.strehl_ratio(np.abs(Exy.screen[:,:,-1] )**2, Exy, max([max(Exy.x), max(Exy.y)])*2, wavelength, focal_length, strehl_from_mtf=True, plot_MTF=True, plot_OTF=True )\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:49.794278Z",
     "start_time": "2025-10-09T15:19:49.077926Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:58.619975Z",
     "iopub.status.busy": "2026-03-24T18:48:58.619975Z",
     "iopub.status.idle": "2026-03-24T18:48:58.628575Z",
     "shell.execute_reply": "2026-03-24T18:48:58.626585Z",
     "shell.execute_reply.started": "2026-03-24T18:48:58.619975Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.14002824805201766, 0.84009513106553)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# UNFOCUSED AND FOCUSED STREHL RATIOS \n",
    "strehlv1, strehlv2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:49.794278Z",
     "start_time": "2025-10-09T15:19:49.077926Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:58.629571Z",
     "iopub.status.busy": "2026-03-24T18:48:58.629571Z",
     "iopub.status.idle": "2026-03-24T18:48:58.641561Z",
     "shell.execute_reply": "2026-03-24T18:48:58.640568Z",
     "shell.execute_reply.started": "2026-03-24T18:48:58.629571Z"
    }
   },
   "outputs": [],
   "source": [
    "#moe.metrics.strehl_ratio(np.abs(Exy.screen[:,:,-1])**2, screen, max([max(screen.x), max(screen.y)])*2, wavelength, focal_length, plot_MTF=True) ,\\\n",
    "#moe.metrics.strehl_ratio(np.abs(Exy.screen[:,:,-1])**2, Exy, max([max(Exy.x), max(Exy.y)])*2, wavelength, focal_length, plot_MTF=True) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:55.682058Z",
     "start_time": "2025-10-09T15:19:49.802286Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T21:42:20.783497Z",
     "iopub.status.busy": "2026-02-03T21:42:20.782003Z",
     "iopub.status.idle": "2026-02-03T21:42:30.806009Z",
     "shell.execute_reply": "2026-02-03T21:42:30.805013Z",
     "shell.execute_reply.started": "2026-02-03T21:42:20.783497Z"
    }
   },
   "source": [
    "## Encircled energy "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:55.682058Z",
     "start_time": "2025-10-09T15:19:49.802286Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:48:58.642557Z",
     "iopub.status.busy": "2026-03-24T18:48:58.642557Z",
     "iopub.status.idle": "2026-03-24T18:49:04.000072Z",
     "shell.execute_reply": "2026-03-24T18:49:03.998084Z",
     "shell.execute_reply.started": "2026-03-24T18:48:58.642557Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Encircled energy')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "center=(0,0)\n",
    "\n",
    "parray = np.linspace(0, aperture_width/2, 100)\n",
    "\n",
    "enarray = [moe.metrics.encircled_energy(Exy, p) for p in parray]\n",
    "enmax = moe.metrics.encircled_energy(Exy, 1.01)\n",
    "\n",
    "fig = plt.figure() \n",
    "\n",
    "plt.plot(parray, enarray/enmax)\n",
    "plt.ylim([0,1])\n",
    "plt.xlabel(\"Normalized radius\")\n",
    "plt.ylabel(\"Normalized energy\")\n",
    "plt.title(\"Encircled energy\")\n",
    "#plt.yscale(\"log\")\n",
    "\n",
    "#This is not exactly one, because other energy is lost to the square parts of the sensor \n",
    "\n",
    "\n",
    "#The energy plateus at 0.5e-6, so makes sense to use that as p "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:55.729631Z",
     "start_time": "2025-10-09T15:19:55.687052Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:04.003062Z",
     "iopub.status.busy": "2026-03-24T18:49:04.002063Z",
     "iopub.status.idle": "2026-03-24T18:49:04.022826Z",
     "shell.execute_reply": "2026-03-24T18:49:04.019841Z",
     "shell.execute_reply.started": "2026-03-24T18:49:04.003062Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.3879175930586803e+22, 5.499479222542831, array([50, 50], dtype=int64))"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "XY=np.abs(Exy.screen[:,:,-1])**2\n",
    "\n",
    "\n",
    "largestpeak_height , largestpeak_width, position = moe.metrics.find_FWHM_2d(XY, prominence=0.5)\n",
    "\n",
    "largestpeak_height , largestpeak_width, position"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:55.949628Z",
     "start_time": "2025-10-09T15:19:55.734626Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:04.024818Z",
     "iopub.status.busy": "2026-03-24T18:49:04.023822Z",
     "iopub.status.idle": "2026-03-24T18:49:04.209532Z",
     "shell.execute_reply": "2026-03-24T18:49:04.206536Z",
     "shell.execute_reply.started": "2026-03-24T18:49:04.024818Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.patches.Circle at 0x19210f42390>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.patches import Circle \n",
    "\n",
    "fig = plt.figure() \n",
    "\n",
    "plt.imshow(np.abs(XY))\n",
    "\n",
    "# Get image dimensions\n",
    "height, width = XY.shape\n",
    "\n",
    "# Add central circle\n",
    "circle = Circle((position[0], position[1]), radius=largestpeak_width/2, color='red', fill=False, linewidth=2)\n",
    "plt.gca().add_patch(circle)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:56.155624Z",
     "start_time": "2025-10-09T15:19:55.952636Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:04.210526Z",
     "iopub.status.busy": "2026-03-24T18:49:04.209532Z",
     "iopub.status.idle": "2026-03-24T18:49:04.319288Z",
     "shell.execute_reply": "2026-03-24T18:49:04.318288Z",
     "shell.execute_reply.started": "2026-03-24T18:49:04.210526Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "largestpeak_height , largestpeak_width, largestpeak_position = moe.metrics.find_FWHM_2d(np.abs(Exy.screen[:,:,-1])**2, prominence=0.5)\n",
    "\n",
    "\n",
    "from matplotlib.patches import Circle\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.imshow(np.abs(Exy.screen[:,:,-1]),  origin='lower')\n",
    "\n",
    "# Draw the circle\n",
    "circle = Circle((largestpeak_position[0], largestpeak_position[1]),  # x, y\n",
    "                radius=largestpeak_width/2, color='red', fill=False, linewidth=2)\n",
    "ax.add_patch(circle)\n",
    "\n",
    "# Optional: mark the center\n",
    "#ax.plot(largestpeak_position[0], largestpeak_position[1], 'ro')  # center dot\n",
    "\n",
    "plt.title(\"Maximum Peak Highlighted\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:56.407623Z",
     "start_time": "2025-10-09T15:19:56.159645Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:04.320283Z",
     "iopub.status.busy": "2026-03-24T18:49:04.320283Z",
     "iopub.status.idle": "2026-03-24T18:49:04.552668Z",
     "shell.execute_reply": "2026-03-24T18:49:04.551673Z",
     "shell.execute_reply.started": "2026-03-24T18:49:04.320283Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4.9999999999999996e-05, 1.0, 0.8898340172814078)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "##encircled energy at 1 FWHM \n",
    "\n",
    "one_fwhm = moe.metrics.encircled_energy(Exy, (width/2)*pixsize)/moe.metrics.encircled_energy(Exy, 1.01)\n",
    "\n",
    "##encircled energy at 0.5 FWHM \n",
    "\n",
    "half_fwhm = moe.metrics.encircled_energy(Exy, (width/2)*pixsize*0.5)/moe.metrics.encircled_energy(Exy, 1.01)\n",
    "\n",
    "\n",
    "(width/2)*pixsize, one_fwhm, half_fwhm \n",
    "#This is consistent with the plateauing that is seen in the encircled energy "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:56.407623Z",
     "start_time": "2025-10-09T15:19:56.159645Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T21:42:31.213720Z",
     "iopub.status.busy": "2026-02-03T21:42:31.212724Z",
     "iopub.status.idle": "2026-02-03T21:42:31.603510Z",
     "shell.execute_reply": "2026-02-03T21:42:31.602016Z",
     "shell.execute_reply.started": "2026-02-03T21:42:31.213720Z"
    }
   },
   "source": [
    "## Ensquared energy "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:19:56.407623Z",
     "start_time": "2025-10-09T15:19:56.159645Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:04.554658Z",
     "iopub.status.busy": "2026-03-24T18:49:04.553663Z",
     "iopub.status.idle": "2026-03-24T18:49:09.796681Z",
     "shell.execute_reply": "2026-03-24T18:49:09.794691Z",
     "shell.execute_reply.started": "2026-03-24T18:49:04.554658Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Ensquared energy')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "center=(0,0)\n",
    "\n",
    "parray = np.linspace(0, aperture_width/2, 100)\n",
    "\n",
    "enarray = [moe.metrics.ensquared_energy(Exy, p, p) for p in parray]\n",
    "enmax = moe.metrics.ensquared_energy(Exy, 1,1)\n",
    "\n",
    "fig = plt.figure() \n",
    "\n",
    "plt.plot(parray/(aperture_width/2), enarray/enmax)\n",
    "plt.ylim([0,1.01])\n",
    "plt.xlabel(\"Normalized px=py\")\n",
    "plt.ylabel(\"Normalized energy\")\n",
    "plt.title(\"Ensquared energy\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:09.566489Z",
     "start_time": "2025-10-09T15:19:56.410630Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T21:42:31.605999Z",
     "iopub.status.busy": "2026-02-03T21:42:31.605003Z",
     "iopub.status.idle": "2026-02-03T21:42:50.804239Z",
     "shell.execute_reply": "2026-02-03T21:42:50.802247Z",
     "shell.execute_reply.started": "2026-02-03T21:42:31.605999Z"
    }
   },
   "source": [
    "## Focusing Efficiency"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:09.566489Z",
     "start_time": "2025-10-09T15:19:56.410630Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:09.799666Z",
     "iopub.status.busy": "2026-03-24T18:49:09.798671Z",
     "iopub.status.idle": "2026-03-24T18:49:20.166236Z",
     "shell.execute_reply": "2026-03-24T18:49:20.165244Z",
     "shell.execute_reply.started": "2026-03-24T18:49:09.799666Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Focusing Efficiency')"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "center=(0,0)\n",
    "\n",
    "parray = np.linspace(0, aperture_width/2, 100)\n",
    "\n",
    "#Should give the same as the enclircled energy \n",
    "farray1 = [moe.metrics.focus_efficiency(Exy, p,  encircled_energy(Exy, 1.01),center=(0,0),) for p in parray]\n",
    "\n",
    "fig = plt.figure() \n",
    "\n",
    "plt.plot(parray/(aperture_width/2), farray1)\n",
    "plt.ylim([0,1])\n",
    "plt.xlabel(\"Normalized radius\")\n",
    "plt.ylabel(\"Focusing Efficiency\")\n",
    "plt.title(\"Focusing Efficiency\")\n",
    "#plt.yscale(\"log\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:22.798623Z",
     "start_time": "2025-10-09T15:20:09.572495Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T21:42:50.806230Z",
     "iopub.status.busy": "2026-02-03T21:42:50.805731Z",
     "iopub.status.idle": "2026-02-03T21:43:11.697043Z",
     "shell.execute_reply": "2026-02-03T21:43:11.695549Z",
     "shell.execute_reply.started": "2026-02-03T21:42:50.806230Z"
    }
   },
   "source": [
    "## Optical Performance Metric (OPM)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:22.798623Z",
     "start_time": "2025-10-09T15:20:09.572495Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:20.167232Z",
     "iopub.status.busy": "2026-03-24T18:49:20.167232Z",
     "iopub.status.idle": "2026-03-24T18:49:31.084415Z",
     "shell.execute_reply": "2026-03-24T18:49:31.083416Z",
     "shell.execute_reply.started": "2026-03-24T18:49:20.167232Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Engelberg OPM')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Engelberg metric, check original paper for more detail \n",
    "\n",
    "center=(0,0)\n",
    "\n",
    "parray = np.linspace(0, aperture_width/2, 100)\n",
    "\n",
    "farray2 = [moe.metrics.Engelberg_OPM(Exy, p,  moe.metrics.encircled_energy(Exy, 1.01),1, wavelength, z = focal_length) for p in parray]\n",
    "strehlr = moe.metrics.strehl_ratio(np.abs(Exy.screen[:,:,-1])**2, Exy, max([max(Exy.x), max(Exy.y)])*2, wavelength, focal_length, plot_MTF=True) \n",
    "\n",
    "fig = plt.figure() \n",
    "\n",
    "plt.plot(parray/(aperture_width/2), farray2)\n",
    "plt.plot(parray/(aperture_width/2), strehlr*np.array(farray1), ':' )\n",
    "#plt.ylim([0,1])\n",
    "plt.xlabel(\"Normalized radius\")\n",
    "plt.ylabel(\"OPM\")\n",
    "plt.title(\"Engelberg OPM\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:23.193049Z",
     "start_time": "2025-10-09T15:20:22.803627Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:31.086407Z",
     "iopub.status.busy": "2026-03-24T18:49:31.086407Z",
     "iopub.status.idle": "2026-03-24T18:49:31.090770Z",
     "shell.execute_reply": "2026-03-24T18:49:31.089770Z",
     "shell.execute_reply.started": "2026-03-24T18:49:31.086407Z"
    }
   },
   "outputs": [],
   "source": [
    "#strehlr = moe.metrics.strehl_ratio(np.abs(Exy.screen[:,:,0])**2, screen, max([max(Exy.x), max(Exy.y)])*2, wavelength, focal_length, plot_MTF=True) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:30.161206Z",
     "start_time": "2025-10-09T15:20:23.202059Z"
    },
    "execution": {
     "iopub.execute_input": "2026-02-03T21:43:11.974822Z",
     "iopub.status.busy": "2026-02-03T21:43:11.974325Z",
     "iopub.status.idle": "2026-02-03T21:43:21.785763Z",
     "shell.execute_reply": "2026-02-03T21:43:21.784269Z",
     "shell.execute_reply.started": "2026-02-03T21:43:11.974822Z"
    }
   },
   "source": [
    "## Comparisons to theoretical (analytical)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:27:12.595625Z",
     "start_time": "2025-10-09T15:26:50.007906Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:31.091765Z",
     "iopub.status.busy": "2026-03-24T18:49:31.091765Z",
     "iopub.status.idle": "2026-03-24T18:49:31.111937Z",
     "shell.execute_reply": "2026-03-24T18:49:31.110936Z",
     "shell.execute_reply.started": "2026-03-24T18:49:31.091765Z"
    }
   },
   "outputs": [],
   "source": [
    "# Make circular apertures (returns also the 2D array)\n",
    "\n",
    "wavelength = 1550e-9 #m\n",
    "\n",
    " \n",
    "pixsize = 1e-6\n",
    "x_pixel = 64\n",
    "y_pixel = 64\n",
    " \n",
    "aperture_width  = x_pixel*pixsize\n",
    "aperture_height = y_pixel*pixsize\n",
    "\n",
    "radius = 0.5*x_pixel*pixsize #m \n",
    "zdist = 10*radius #m\n",
    "\n",
    "#screen size \n",
    "xminus = -400e-3 #m\n",
    "xplus = 400e-3 #m \n",
    "\n",
    "\n",
    "# Define Aperture\n",
    "aperture = moe.generate.create_empty_aperture(-aperture_width/2, aperture_width/2, x_pixel, -aperture_height/2, aperture_height/2, y_pixel)\n",
    "\n",
    "# Populate Aperture from phase mask \n",
    "mask = moe.generate.circular_aperture(aperture, radius=radius, center=(0,0))\n",
    "\n",
    "# Define Phase mask \n",
    "mask_phase = moe.generate.create_empty_aperture_from_aperture(aperture)\n",
    "mask_phase.aperture = mask.aperture*np.pi\n",
    "\n",
    "\n",
    "# Plot the circular mask\n",
    "#moe.plotting.plot_aperture(mask_phase)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:27:12.595625Z",
     "start_time": "2025-10-09T15:26:50.007906Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:31.113928Z",
     "iopub.status.busy": "2026-03-24T18:49:31.113928Z",
     "iopub.status.idle": "2026-03-24T18:49:33.146823Z",
     "shell.execute_reply": "2026-03-24T18:49:33.145834Z",
     "shell.execute_reply.started": "2026-03-24T18:49:31.113928Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Progress: [####################] 100.0%\n",
      "Elapsed: 0:00:01.039527\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\anaconda3\\Lib\\site-packages\\numpy\\ma\\core.py:3375: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  _data[indx] = dval\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EhYUJSZL0pmQsW7asRN67+lp+fn4Gc5CNtXLlSgFAdOrUSWRlZVX4OhkZGWL16tViyJAhwtbWVvNAMGPGjBJBWFmUSqWYPXu2kMvlOv/2HnzwQXH48GGjr9OoUSMBQFy7dk3v/m7dugkA4tChQ5ptDz30kN78+GvXrglXV1cBQDRu3FizPTo6WtjY2AhbW1udOgMhhPj00081Y//oo49K3D87O7vEz5eJEyfqfcgv77j0iYqKEpIkCS8vr3L9vXnttdcEADF48GCjjs/JyRHdu3cXAMRnn31m8LglS5bofO2urq7ip59+KnGcOs1l/Pjxeq/zzz//CACif//+pY5rz549AoBo0aKFwWNeffVVcfDgQZGQkCDu378vjh07JkaMGCEACG9vb3Hnzh295/355586X4udnZ2YP39+iYfc//77TwAQcrlcODo6ikWLFon4+HgRGxsrPvvsM2FjYyMcHBw0QWlpvvnmGwFAtGnTpsTPRHUq1fnz5/We26ZNG+Hj41PmPYQQIiYmRgAQ9erV07s/Ly9P8zVr27Bhg1i+fLm4ceOGyM7OFjdv3hRLly4Vfn5+Jnt5QVQVGABYgPpBJygoSPTp06fSAYA6d7lRo0aaIsDSAoD69euLVatW6Xzs3LmzwvensimVStGwYUOdN7NCFOUgv/HGGzrHJyYmijfffFO0bNlS8xZa+2PatGk6xxsbAGzZskXzQKaP+u1WZQOA9PT0Uv9zVb8xbNOmTYlrlfXAU5Zdu3YJW1tbERoaKu7du1epa2lLTEwUS5YsEW3bttX8OezZs8eoc7Ozs8XIkSOFi4uL+O6770RcXJxIS0sT27dvF2FhYcLW1lZs2rTJqGtVJAA4f/68cHNzE4CqxuG1114TkyZNEs7Ozpo39OHh4TrXef/99zUPQGPHjhUzZ84UDzzwgJAkSbRq1UoAEJ988onBcSqVSnHnzh0REREhAgICRJMmTUoUVFZkXMW9/fbbAoB49dVXy/jOFfnqq680105KSirz+IKCAjFy5EgBQIwePdqot7zZ2dni4sWL4sUXXxQAxDPPPKOz31QBwLhx4wQA8fXXX5c5puKGDx9u1FvzvLw8ERkZKebOnStsbW3Fww8/rFO8e+jQIc2/iY8//rjE+a+++qren1vF/f7770Iulwt/f39x/fr1Evv9/PyEra2tZoap+EezZs0EAJGYmCiEUM0KFD9G/X9jRQMAQ06cOCFsbW2Fra2tSEhIMOocIktiAGABOTk5Ii4uTgihmi6ubACQnp6u+U9MPW1cWgDQvHnzCt+LKu7jjz/WeVBRKpWiQYMGQpIknYe5lJQUERoaqnmD/dxzz4l33nlHzJ49WzO9XvyB29gAYNWqVQKAmDlzpt4xqt9eVjYAUM80dOjQQe956rfEISEhJa6lr7jVWBcvXhTu7u7C3d3dqLeNxsrMzBRr164Vjz32mLCzsxMARN26dQ2+iSxOHVjp69By+vRpAUAEBwcbda3ypgCpRUZGikmTJomAgABha2srgoODxaxZs8T+/fsFoFs4rLZ+/XrRs2dP4eLiIhwdHUWXLl3EH3/8IZ5//nkB6C+e1Ofw4cMCgBgyZEiJfRUZl1p+fr4ICAgQAMTly5eNGov6DXOzZs00P4dLU1BQoOmwM2rUqAqlgD3zzDMC0E3zM0UKUFJSUqnFv2XZsWOHACDatWtn9Dnqn2Pz58/XbLt48aImAND356D+s9QO+IvbuHGjsLW1FQEBAQb/LG1sbPTOYBf/iI6OFkLon/GePXu2EKLiKUClUc8QbdmyxehziCyFC4FZgL29Pfz9/Y069s8//0TPnj01i6QMGTIEFy5c0DnG1dUVnp6e5RpDQUEBMjIyynUOVc6TTz4JW1tb/PTTT8jLy8OuXbtw48YNTQ9stWXLliEqKgqzZ8/GkSNHsHjxYnzwwQeYM2cORo8eXakxqPu237t3T+9+dfFnZanvY+h6cXFxOsdp0+7HXh7x8fEYPHgwsrKysHHjRjRt2rRC11HLz8/HH3/8gQkTJsDPzw9jxozB7t27MW7cOOzYsQO3b9/WFPeWRV3oq6+Ys3Xr1vDw8MDNmzeRlJRU5rXUhaRXr14tsa+goABRUVGwsbEpUcDbsGFDrFy5ErGxscjLy0N0dDTef/99zXU6duxY4nrDhw/Hvn37cP/+fWRlZeHw4cMYPHgwzp49a/Acfbp06QJ3d3fs2bOnxL6KjEtt69atiIuLQ+/evXUKbA1ZuHAhZsyYgRYtWmD37t1l/hzOz8/H2LFjsXbtWowbNw5r1qwp9xodADTF9dpff2l/joCqWB8AGjdubPC66uLfUaNGGSz+LY2Pjw8AGFykTR99X0vDhg013xd94/Dw8ACgWvRMn3Xr1mHkyJHw8/PD3r17Df5Zurm5wcPDA0L18tLgR3BwsGaMxffNmTMHAODs7Ix69eohIyND8/NImzHf/+Iq8v0kshQGANXYqlWrMGTIELi4uODTTz/Fu+++i4sXL6JHjx46C6qU19WrVzUBhb+/P959913k5+ebbuCkl5+fHx599FEkJiZi06ZNWLZsGQBg2rRpOsdFRkYCUD18Fbd3795KjaFt27YAVB0s9K0Yq+8BrSJcXV3RsGFDxMTEaP4j1aZeTbVdu3YmuV92djYeeeQRREdHY+nSpejTp0+FrqNUKrF3714888wz8Pf3x8MPP4x169bhwQcfxG+//YZ79+5hxYoVeOihh3Q6+ZQlNzcXAJCQkKB3n3plXTs7uzKv9cADDwCA3hVH9+3bh6ysLHTr1k2zEFZZ1B2lxo0bZ9Tx169fx8GDB9GyZUu0aNHCqHPu37+P9PT0cj08GzOuH374AUDJf0P6fPrpp3jllVfQpk0b7N69G76+vqUen5eXh5EjR2LdunWYNGkSVq1aBblcbvT4tcXExADQ7WrTsGFDBAUF4erVq4iKiipxzp9//gmg6M9bn6VLlwIw7uvX57///gOgv9uTIfq+Fjs7O/Ts2RMAcP78+RLnqLfp63a0evVqjB07FnXr1sXevXvRqFEjg/fu0qULUlJSSrwEq6jS/i0Z8/3Xlp+fr1nssTzfTyKLsczEA6kZSgG6f/++cHd3F1OnTtXZfvfuXeHm5lZiu1pZKUBTpkwRc+bMEb///rv46aefNB1ojOk0QZX3119/aVJ77O3thbe3d4mFcNRT7MVzek+ePCnq1KlTqRQgIaquC5C6vuGxxx7TKThOSEgQISEhAoDYv3+/UdcqjUKh0HTYUU/vV8T58+dFvXr1BAAhSZLo2bOn+O677wx2eymP5557TgCqgt/iharqBaw6duyosz01NVVcunSpxOJRaWlpwtvbu1wLgeXk5JS4r1KpFB988IEmr724tLS0EtsSExNF586dBQCxfft2nX1nz57VuxhWbm6upnvVuHHjKj0utejoaCGTyYwq/p03b54AINq3b29Uzn9OTo4YPHiwACCeeuopo7pIFV8YSy0yMlLz9+qff/7R2VeZhcD27dsngNKLf4UQ4syZM3obDJw5c0Z4eXkJoGT3pOKF32rx8fGiZcuWAoD44YcfdPZt2LBBABDdunXTWbwtJSVFk5ZWfE2HiIgIIZPJRGhoqCZtpzTqZgpdu3YVMTExJfZnZGSUq6C+vAuBpaen601Pys3NFdOnT9fUlZSn6xiRpXAdgGpqx44dSE1NxdixY5GYmKjZLpfL0blzZ80b1PL68ccfdT6fOHEipk2bhqVLl+KVV14pd19oKp/+/fsjJCQER48eBQC88MILJd76Tpo0CfPnz8fLL7+M3bt3o1GjRrh27Rq2bduGYcOG4ddff63UGL799lt07doVL7/8Mv755x+0bt0akZGR2LhxIx555BFNz/bKmjlzJv78809s3rwZrVu31qTnrFu3DvHx8XjjjTfQo0ePSt9n/fr12LBhA7y8vABAM8WvbejQoZr1CQxJSEiAh4cHXnjhBYwbNw5BQUGVHpvaO++8g61bt2Lnzp0IDw/HwIED4ejoiIMHD+Lo0aNwdHTEV199pXPOxo0b8eSTT+KJJ55ARESEZnudOnWwdOlSjBgxAn369MGYMWPg6emJLVu24MqVKxgxYkSJVLFr166hZ8+e6NevH0JCQpCfn4+dO3fi3Llz6NGjh+ZNurZ58+bhr7/+QteuXeHr64uYmBhs2bIFqamp+Pzzz0usGfHjjz9ixYoV6N69O4KDg+Hu7o7Y2Fj8888/uHv3Lpo0aYIFCxZUelxqy5Ytg1KpxBNPPFHqbMfKlSvx3nvvQS6Xo2fPnvj6669LHBMSEoLJkydrPn/22Wexfft2eHt7o169epg3b16Jc/r06aMz09S/f3/4+vqibdu2CAwMREFBAa5fv46//voLBQUFmDFjBvr166dzjVdffRXbtm3D+vXr0blzZzz44IO4desW1q1bBycnJyxfvtzgTJOxsx9ffPEFtm7dip49eyIwMBD29va4fPky/vrrLygUCkydOhVjx47VOefpp59GUlISOnXqhKCgIMjlckRHR2P79u3Izs7G0KFDMWXKFJ1zHn/8cTz55JNYsWIFWrZsiUGDBkGhUGDbtm2IiYnB8OHDMWHCBM3xu3fvxpQpU6BUKtG3b1+sWLGixNjd3d3x8ssvaz5/8MEH8cknn+Ctt95Co0aNMHjwYISGhiIjIwM3b97E3r170aNHD71v9PXp1q0bXn31VXzxxRdo1aoVRowYgby8PPz6669ITk7GN998g5CQEM3xSUlJaNq0KTp06ICmTZsiICAACQkJ2L17N6KiouDt7Y1ffvmlXLODRBZj6QiktjM0A6Ddak/fR506dfRer6wZAH0uX74sAIj333+/El8JGUv9dhOlFC5euHBBPPLII8LHx0ezCvDSpUsNviWvyErAw4cPF25ubsLJyUl06dKl3CsBl3UPIVRvpT/88EPRvHlz4eDgIFxcXET37t3FmjVryn0tQ9RjLu3DmK9HX1tUU4qPjxevvfaaCA8PF/b29sLW1lYEBQWJyZMn622Vqv66DH0/Dhw4IAYNGiTc3d2Fg4ODaNGihfjiiy/0fh3x8fFi3LhxIjQ0VDg4OAhXV1fRuXNnsWjRIoNFrdu2bRN9+/YVPj4+wtbWVvj5+YkRI0YYfMN64MAB8dRTT4lmzZoJd3d3IZfLhYeHh+jevbuYP3++3lWDKzIuIVR/Vuqe9GUV/xrq2679UXyVXEPtkrU/is82ffXVV2LIkCEiKChIODo6Cjs7OxEYGChGjBhR6joDmZmZ4t133xVhYWHCzs5OeHt7ixEjRogLFy4YPCc5OVk4ODgYVfy7ceNG8fjjj4uGDRsKV1dXYWtrK/z9/cXDDz8sNm/erPecVatWieHDh4vQ0FDh7OysKc4dMmSIWLt2rcEuSEqlUixdulR06NBBODk5CUdHR9G+fXuxaNGiEm/Fjfl3a6gwfv/+/WLkyJGawnFvb2/RunVr8corrxicvSjNihUrNGN2cXERvXr1Elu3bi1xXFpampgxY4bo3LmzpiORs7OzaNWqlXjzzTdN2nWMyNwkIYQwbUhB5XH8+HF07NgRK1as0HkDpX7LsWrVKr2FajY2NnrznNevX4+RI0di9+7dRudBZ2VlwdnZGa+88gq++OKLCn4lRERERFQTMAWommrYsCEAwNfXFw899JBZ73Xjxg0ARR0MiIiIiMh6MVGtmhowYADq1KmDjz76SG+HHn3dRMqSnp6u6UaiJoTABx98oLknEREREVk3zgBYyKJFi5CamorY2FgAqn7Wd+7cAQDMmDEDbm5uWLJkCSZOnIh27dphzJgx8PHxwa1bt/DHH3+ge/fuWLRokeZ66od4dXu0VatW4cCBAwCAWbNmAQBOnjyJsWPHYuzYsQgLC0N2djY2btyIgwcPYtq0aSZryUhERERE1RdrACwkJCQEN2/e1LsvKipK03lgz549+OSTT/Dff/8hNzcX9erVQ8+ePfHCCy+gffv2mnNKWzxJ/UccFRWFN998E8eOHcPdu3chk8nQtGlTTJ06FdOmTavwAkxEREREVHMwACAiIiIiqkVYA0BEREREVIswACAiIiIiqkUYABARERER1SLsAlRFUlNTsXfvXs1S7ERERERkPXJzc3H79m307t0b7u7ulh5OqRgAVJG9e/di6NChlh4GEREREZnRpk2b8Nhjj1l6GKViAFBFAgMDAaj+UoSFhVl4NERERERkSpGRkRg6dKjmma86YwBQRdRpP2FhYWjevLmFR0NERERE5lATUr1ZBExEREREVIswACAiIiIiqkUYABARERER1SIMAIiIiIiIahEGAEREREREtQgDACIiIiKiWoQBABERERFRLcIAgIiIiIioFmEAQERERERUizAAICIiIiKqRRgAEBERERHVIgwAiIiIiIhqEQYARERERES1CAMAIiIiIqJahAEAEREREVEtwgCAiIiIiKgWsbH0AMg8hBDILVBCoRSwlctgZ8NYj4iIiIg4A2C1Eu7nIvzdv9B89t9Yd+K2pYdDRERERNUEAwArJUmS5vdKpbDgSIiIiIioOmEAYKXkMq0AgM//RERERFSIAYCV0nr+h4IRABEREREVYgBgpWQ6MwAMAIiIiIhIhQGAlZJJDACIiIiIqCQGAFZKLrEGgIiIiIhKqpEBQEZGBmbPno2BAwfC09MTkiQhIiLCqHP79OkDSZL0ftja2uocGxISove4Z5991gxflWlJrAEgIiIiIj1q5EJgiYmJmDdvHoKCgtC6dWvs2bPH6HPfeecdPP300zrbMjMz8eyzz6J///4ljm/Tpg1ee+01nW2NGzeu0LirknYXIMEUICIiIiIqVCMDgICAAMTFxcHf3x/Hjx9Hx44djT63X79+Jbb9/PPPAIDx48eX2FevXj1MmDCh4oO1EO0aAIXSggMhIiIiomqlRqYA2dvbw9/f32TXW7NmDZydnfHYY4/p3Z+Xl4fMzEyT3a8qaLcBZREwEREREanVyADAlBISErBjxw4MHToUzs7OJfbv2rULTk5OcHFxQUhICL766isLjLL8VPUKqt8zACAiIiIitRqZAmRKv/76KwoKCvSm/7Rq1Qo9evRAkyZNkJSUhIiICLz88suIjY3Fp59+avCa8fHxSEhI0NkWGRlp8rGXRS5JKBCCAQARERERadT6AGDNmjXw8fHRWxuwZcsWnc+ffPJJDBo0CF988QVmzJiB+vXr673m4sWLMXfuXLOMtzxUdQCCNQBEREREpFGrU4Bu3LiBw4cPY/To0bCxKTsWkiQJr7zyCgoKCkrtPDR9+nScP39e52PTpk2mG7iRZIV/uuwCRERERERqtXoGYM2aNQD0d/8xJDAwEACQnJxs8BhfX1/4+vpWbnAmoO4ExHUAiIiIiEitVs8ArFmzBg0bNkSXLl2MPufGjRsAAB8fH3MNy2TUqwHz+Z+IiIiI1Kw6AIiLi8Ply5eRn59fYt+pU6dw6dIljBs3Tu+5ycnJUCgUOtvy8/PxySefwM7ODn379jXLmE2JXYCIiIiIqLgamwK0aNEipKamIjY2FgCwdetW3LlzBwAwY8YMuLm54a233sLKlSsRFRWFkJAQnfNXr14NwHD6z5YtW/DBBx9gxIgRCA0NRXJyMtasWYPz58/jo48+Muk6BOaiXg2YAQARERERqdXYAGDBggW4efOm5vMNGzZgw4YNAIAJEybAzc3N4LlKpRJr165Fu3bt0KRJE73HtGzZEs2aNcPPP/+MhIQE2NnZoU2bNvjtt98wcuRI034xZsIaACIiIiIqrsYGANHR0WUeExERgYiIiBLbZTKZZrbAkPbt25doA1rTyGSsASAiIiIiXVZdA1DbydQ1AIwAiIiIiKgQAwArpu4CpGANABEREREVYgBgxSSJRcBEREREpIsBgBXTdAFiChARERERFWIAYMU0NQB8/iciIiKiQgwArJi6CxBrAIiIiIhIjQGAFVMXAQsGAERERERUiAGAFeNCYERERERUHAMAK8aFwIiIiIioOAYAVowLgRERERFRcQwArJimDShrAIiIiIioEAMAKyZpVgK28ECIiIiIqNpgAGDF5IUpQOwCRERERERqDACsGLsAEREREVFxDACsmIw1AERERERUDAMAK1bUBciy4yAiIiKi6oMBgBVjFyAiIiIiKo4BgBXT1AAwACAiIiKiQgwArJg6AGANMBERERGpMQCwYlwJmIiIiIiKYwBgxVgDQERERETFMQCwYhLXASAiIiKiYhgAWDF5YQDACQAiIiIiUmMAYMVkhX+67AJERERERGoMAKxYURcgBgBEREREpMIAwIppAgDWABARERFRIQYAVqyoC5CFB0JERERE1QYDACtWOAHALkBEREREpMEAwIoVdQFiAEBEREREKgwArJi6BoBdgIiIiIhIjQGAFZOxBoCIiIiIimEAYMUKn//ZBYiIiIiINBgAWDF1FyCmABERERGRGgMAK8Z1AIiIiIioOAYAVqxoJWALD4SIiIiIqg0GAFZMXvinq2QKEBEREREVYgBgxTRtQDkFQERERESFGABYMXUbUE4AEBEREZEaAwArpm4Dyi5ARERERKTGAMCKyTVFwAwAiIiIiEiFAYAVk6SiFCDBIICIiIiIwADAqqkXAgPYCpSIiIiIVBgAWDGt5392AiIiIiIiAAwArJpMZwaAAQARERERMQCwaup1AAAGAERERESkUiMDgIyMDMyePRsDBw6Ep6cnJElCRESEUedGRERAkiS9H3fv3i1x/JYtW9CuXTs4ODggKCgIs2fPRkFBgYm/IvOQS6wBICIiIiJdNpYeQEUkJiZi3rx5CAoKQuvWrbFnz55yX2PevHkIDQ3V2ebu7q7z+Z9//omhQ4eiT58++Oabb3Du3Dl88MEHiI+Px5IlSyrxFVQNiTUARERERFRMjQwAAgICEBcXB39/fxw/fhwdO3Ys9zUGDRqEDh06lHrMzJkz0apVK/zzzz+wsVF9q+rUqYOPPvoIL730EsLDwys0/qqi3QWIbUCrzs2kTBy+noRr8RlIycqDXJIQ4O6IQA9HdA71QpCXk6WHSERERLVYjQwA7O3t4e/vX+nr3L9/H05OTpDL5SX2Xbx4ERcvXsS3336refgHgOnTp+PDDz/E+vXrMWvWrEqPwZy0awA4A2BeSqXAn+fv4of9N3DmdmqpxzbydcGQVgGY0CUY3i72VTNAIiIiokI1sgbAFPr27Ys6derAyckJjz76KK5du6az/9SpUwBQYpagbt26qF+/vmZ/dSbjOgBV4kZCBkZ+fxjPrzmp8/BvZyNDPXdH+LjqPuRfi8/Awn+vodsnu/D2xnOIT8+p4hETERFRbVYjZwAqw8nJCZMnT9YEACdOnMAXX3yBbt264eTJkwgMDAQAxMXFAVClGxUXEBCA2NhYg/eIj49HQkKCzrbIyEgTfhXG0V4HgF2AzOPvC3fx6q+nkZmnAAB4ONliQpdgDGoRgHB/V00QllugQGR8BnZfjsf2c3dxMS4deQVKrDlyC5tPxWDGg40wpXso7GxqbUxOREREVaTWBQCjRo3CqFGjNJ8PHToUAwYMQK9evfDhhx/iu+++AwBkZ2cDUKUbFefg4ID09HSD91i8eDHmzp1r4pGXn5xtQM3qt+O38ebvZ6H+1j7ZPQSv9W8CF/uS/6zsbeRoXtcNzeu64fm+YTgSlYzv9l7HnisJyMxT4JM/L2Pz6Vh8NaYNGvu5VvFXQkRERLVJrQsA9OnRowc6d+6Mf//9V7PN0dERAJCbm1vi+JycHM1+faZPn46RI0fqbIuMjMTQoUNNM2AjsQbAfP44G4c31p8FADjZyfH1mLZ4qJmfUedKkoQuDbzQpYEX9l1NwLxtFxEZn4FLcel4+JsDeHtQOJ7oFgJJu40TERERkYkwACgUGBiIK1euaD5Xp/7ExcVp0oLU4uLi0KlTJ4PX8vX1ha+vr3kGWg4ynS5AFhyIlTl9OxWv/HYaAOBib4OVUzqifbBnha7Vq7EPtr/YE1/tvIole64jr0CJOVsv4tTtVHwyrBUc7UoWqBMRERFVBhOOC924cQM+Pj6az9u0aQMAOH78uM5xsbGxuHPnjmZ/dSaz8DoASiucdUjLysfzq08ir0AJG5mExePbVfjhX83ORobXB4Tjt2e6oq6bAwBg8+lYDF9yCHFp2aYYNhEREZGGVQcAcXFxuHz5MvLz8zXbihfnAsD27dtx4sQJDBw4ULOtefPmCA8Pxw8//ACFQqHZvmTJEkiShBEjRph38CYgl1mmBuBmUiYm/ngELeb8jZ2X7lXZfavCu5vPIyZV9VD+1uCm6NXYp4wzjNchxBNbZ/RAlwaqgOJiXDqGLz6EyPj7JrsHERERUY1NAVq0aBFSU1M13Xi2bt2KO3fuAABmzJgBNzc3vPXWW1i5ciWioqIQEhICAOjWrRvatm2LDh06wM3NDSdPnsTy5csRGBiIt99+W+ce8+fPx6OPPor+/ftjzJgxOH/+PBYtWoSnn34aTZs2rdKvtyIkY4qA4+OBxYuLPp8+HahE+lKBQomR3x1G/H1V7cSGkzF4sKlxufHV3b8X72HLGdXftwfDfTGle4jJ7+HlYo+fn+qMOVsv4Of/biE2LQfDlxzG8skdKj3TQERERATU4ABgwYIFuHnzpubzDRs2YMOGDQCACRMmwM3NTe95o0ePxh9//IF//vkHWVlZCAgIwNSpUzF79mz4+ek+qD788MPYsGED5s6dixkzZsDHxwdvv/023nvvPfN9YSak2wXIwEEJCYB2x6KRIysVAMTfz9U8/APAjcTMCl+rOsnJV2D2lgsAAFcHG3w0rKXZinRt5DK8/1gL+NdxwIJ/riItOx/jlh7B4vHtrCaYIiIiIsupsQFAdHR0mcdEREQgIiJCZ9sHH3yADz74wOj7DB06tMq795iKJWoA7hVb1OpmUiaEEDW+o82PB6I0qT9vDAyHXx0Hs95PkiS88EAj+Lo64K2N55BboMSzP5/A4vHt0c/IbkNERERE+lh1DUBtJ7NADcC9dN22qVl5Cp0ZgZooNSsPS/ZcBwA08XPF2I6BZZxhOqM6BuL7Ce1hJ5chXyEwffUJ7LhoXXUVREREVLUYAFgx7XUAlMqquWfxGQAAiKrhaUDL9kchI7cAAPDmoCawkVftP5uHmvnh+4kMAoiIiMg0GABYMe3nVEWVzQBYVwCQlp2PiEPRAIA2ge7o28Qy6zv0DfctEQTsvVqyoxURERFRWRgAWDGjugCZmDoFyNvFHrZy1f2ja3AAsPboLc3b/5cebGTRWobiQcCzq07g5K0Ui42HiIiIaiYGAFZMpwtQFRUBx99XzQDUc3dAoKcTgJrbCShfodS8/W/k64I+TUzX87+i+ob74qsxbSCTgOx8BaZEHMO1e1wngIiIiIzHAMCKyYxpA2pi6hQg3zoOCPRw0tlW0+y8dA9xaaqxP90ztNp0MhrUMgAfPt4SAJCalY+JPx7FnZQsC4+KiIiIagoGAFZMpl0DUGVtQFUpQP51HODlbAcASM7Mq5J7m9q646qF5VztbfBo63oWHo2usZ2C8PqAJgCAu+k5mPTjUSRl1OxuS0RERFQ1GABYMe0UIFEFNQA5+QqkZecDAPzq2MOjMABIqYEBQPz9HOwpLLJ9uHVdONrJLTyikqb3aYineoQCUKVZTYk4huw8hYVHRURERNUdAwArpr0OQGW6ABn7AB+vtQaAbx0HeBYGAJl5CuTk16wH040nYzSzJqM61LfwaPSTJAnvDG6KYe1UsxNn7qTh5V9PVdlsDxEREdVMDACsmFE1APb2QLNmRR/29jq7v/r3Gtq+vwPf7o4s836JmUUBgLeLHTyc7DSfp2bll2/wFiSEwG/HbwMAwnxd0CbQ3bIDKoVMJuHT4a3QPcwLAPD3hXv45M9LFh4VERERVWcMAKyY1gSA4S5AYWHAhQtFH2FhOru//PcqAGD+31fKvF9WbtFbfhd7W3g622o+r0l1AKdup+J6gqpz0cj29atN8a8htnIZFo9vj0a+LgCApfujsOq/mxYeFREREVVXDACsmFxWtesAZOYVaH7vbC/XmQFIyao5AcCW07EAVN+/x9tVr+JfQ9wcbbF8ckd4u6hmcGZvPo/dl+MtPCoiIiKqjhgAWDHtFKCqyAvPzNUKAOxsNDUAQM2ZARBC4J8LdwEAXRp4wtfVwcIjMl6gpxOWPdEBDrYyKAXwwpqTuBibbulhERERUTXDAMCKVfU6AJlaHWic7OWaLkBAzZkBuBCbjtjC3v/9mvpZeDTl1ybQHQtHt4Ukqf48pv50HIlsD0pERERaGABYMe11AKoiBShLawbAxd4G7o41rwZgx8V7mt8/1KzmBQAAMLCFP94cGA4AiEnNxvSfTyKvQGnhUREREVF1wQDAisklI2oAIiOB5s2LPiINd/spUJT+EKlOAZIkwMFGDhu5DG6FQUBNCwCaBdRB/cKVjGuiZ3o1wLC2qvqFo9HJeG/z+SpZC4KIiIiqPwYAVkwypgYgNxe4eLHoI9dwukhmbum9/NUpQE62cs0aBJ41aDXg28lZuBinypnvV0Pf/qtJkoSPhrVE68IWpmuP3cZPh9kZiIiIiBgAWDXtLkCmePmbodXlRx/1DICzvY1mm4eTagagJtQA/HupKP2npgcAAOBgK8cPE9vDr46qM9C8bRdxMDLRwqMiIiIiS2MAYMW01wEwRRcg7Rx/fdQzANoBQNEMQPVfCEwdANRzd0TzunUsPBrT8KvjgB8mdoC9jQwKpcD01ScRnZhp6WERERGRBTEAsGIyY2oAyiGjjABAHSA42ck129RrAaRU8xSgnHwFjkWnAAD6hvtU+8W/yqN1oDs+G9EKAJCWnY+nfzqO+znVPyAjIiIi82AAYMVklVwIrPjqwWXVAGToSQFSFwGnV/MHzpM3UzSdcro39LbwaEzvsTb18FyfhgCAyPgMvLT2dJWsDUFERETVDwMAKyav5DoAecW6/pQ5A6BOAdKaAXB1sNXsK6uLkCUdvpGk+X3nBl4WHIn5vN6/CR5q6gsA2HU5Hgv+uWLhEREREZElMACwYpWtAcgv9sCeWWYNQGEKkNYMgKtD0e/LCiAs6fB1VQAQ7u+qs4KxNZHJJHw5ug0a+boAAJbsuY6tZ2ItPCoiIiKqagwArJhMpwtQRQIA3XOyjOwC5GJX9NDvohUA3M+pngFAVl4BTt9OBQB0bWidb//VXB1ssXRSB9Qp/HN5ff0ZXIhNs/CoiIiIqCoxALBiMmPWAShF8RmAjDJqALIK9zvZF6UA1akBAcCx6BQUFH5/ullh/n9xId7O+GZcO8gkICdfiWk/nUBShuH1H4iIiMi6MACwYpWuASgwPgVICKFJAXK2004BstX8vrp2nlGn/8gkoFOop4VHUzV6N/bBmwPDAQAxqdl4fs3JEgEfERERWScGAFZM0vrTrUgXoJIzAIYDgJx8pSbI0O4C5GJf/WcA1AXAzeu6aboW1QbTejXAY23qAgD+u5GMD/+4ZOERERERUVWwKfsQqqnkxqwD4OMDzJ6t+3mh4jUApc0AZGrVBzjba3cBqt5FwPdz8nHuTioAoJuV5/8XJ0kSPh3eCtcTMnA+Jh0Rh6LRLKAORnUMtPTQiIiIyIwYAFgx3RoAAwf5+gJz5ujdVXwGQN3mUx/t4MCpBqUAnbmdppm5qC3pP9ocbOX4fmIHPPrNASRl5mHWpvMI83NBuyAPSw+NiIiIzIQpQFZMVskUoPKsA6C9SJiLgRmA9GqYAnSm8O0/ALQJdLfYOCypnrsjlkxoDxuZhDyFEs+uOoF76TmWHhYRERGZCQMAK6Y9A1B8VV9j5JejCFi7Raj2DIC9jQy2ctU4qmMNwKlbqQCAQE9HeLnYW3YwFtQp1BOzH20OAIi/n4tnVp1ATn7pXZ+IiIioZmIAYMW0awAUJlgHoLQZAO192jUAkiRp0oAycqtXCpAQQtP/v00gU14mdA7C2E6q/P/Tt1Px7qbzFVo/goiIiKo3BgBWTOv533Ab0Jwc4MKFoo+cotSPEisBl7IQmHZ9gHYXIKAoDai6zQDEpuUgsbD/fev6bhYejeVJkoS5j7ZA+2BVMLTuxB2sPBRt2UERERGRyTEAsGKSJEG9GLDBFKDr14EWLTQfymuRml3FawCy8wz3idcOABxt5Tr71K1Aq1sAcKbw7T9Qe/P/i7OzkWHJhHbwr+MAAHj/j0s4dD3RwqMiIiIiU2IAYOXUdQDGFgG/u/m85vfFZwBKu0ZuQVEA4FAsACiaAaheKUDqAEAuk9CiHmcA1HxdHfD9xPaws5FBoRR4fvVJ3E7OsvSwiIiIyEQYAFg5WeEUgLE1AEejkjW/Lx4AFJSyUqz2qsF2ct2/VuoagOo2A3CqMAAI93ctEbTUdq0D3fHx4y0BAClZ+Zj603GdQm8iIiKquRgAWDl1IXB5ajnVhZ/5BbonKUrpJJSrFQDY2xYPAKpfClCBQolzd9IAMP3HkOHt6+OpHqEAgMt37+P1dWdZFExERGQFGABYOXUNQGkP78Wpjy1eA5BfWgCQX8oMgH31SwG6Fp+B7MI2l60ZABj01qBw9AjzBgD8cS4Oi/dct/CIiIiIqLIYAFg5TQpQOQKAgsJji6cAlXaNPIXqYVouk2BjIAUoI7eg2rxB1i4AbssAwCAbuQzfjG2LQE9HAMCCf65g1+V7Fh4VERERVQYDACunvRiYsdQP/voCAEMP8OoZAHubkn+l1ClASgFk5lWPxaUuxaUDUHUsauDjYuHRVG8eznZYOqkDnOzkEAJ46ZfTuJ6QYelhERERUQUxALBy6ud/Y7sAAUCBQj0DUPIcQ7MA6hoAfQGA9roAWaUsJlaVLt29DwBo7O8Kuaz8QVJtE+5fB5+PbA0AuJ9bgKk/HUd6NUrpIiIiIuMxALBysgoUAecrVQ/z2p191AoMBgCqN/v2NiW76bhoBQClrSZcVYQQuFw4A9DU39XCo6k5BrUMwIwHwgAANxIy8cra04bXlyAiIqJqiwGAlZNVagagZABgaAZAHSzY6ZkBcLIrCgqyqkEKUFxaDtILOxI1YQBQLq881BgPNfUFAOy8HI8vdly18IiIiIiovBgAWDlJsxCY8ecYqgEASpsBMC4FKLMazABcKUz/AVSpLWQ8mUzCl6PboKGPMwBg0e5I/HE2zsKjIiIiovJgAGDl1DMA5em+k1+ZGgDbMgKAarCY1KW76Zrfh3MGoNxcHWyxdFIHTXH3zHVncDE2vYyziIiIqLqokQFARkYGZs+ejYEDB8LT0xOSJCEiIsKoc3fu3IkpU6agcePGcHJyQoMGDfD0008jLq7kW8w+ffpAkqQSHwMHDjTxV2Q+EtQzAAYCgIYNgfPnMWz69+g35Vvc8ghAgboGQN8MgIHVgDUpQHI9AYBWClBmruVTgC7HqWYA/Os4wMPZzsKjqZka+Ljg67FtIUlAdr4C01YdR3JmnqWHRUREREawKfuQ6icxMRHz5s1DUFAQWrdujT179hh97ptvvonk5GSMHDkSjRo1wo0bN7Bo0SJs27YNp0+fhr+/v87x9evXx8cff6yzrW7duqb4MqpE0QyAgQMcHIDmzXHTPxZJhQ9wmhoAExUBO2l3AaoGMwCXC2cAwgP49r8y+jbxxRsDwvHpX5dxJyUbL6w5iZ+mdCqxDgQRERFVLzUyAAgICEBcXBz8/f1x/PhxdOzY0ehzv/jiC/To0QMyWdFDysCBA9G7d28sWrQIH3zwgc7xbm5umDBhgsnGXtWMrQGQabXCLK0GoCIpQC522l2ALDsDkFugwI2ETAAsADaFZ3s3wMW4dGw9E4tD15Pw4fZLmP1Ic0sPi4iIiEpRI1/V2dvbl3hTb6xevXrpPPyrt3l6euLSpUt6zykoKEBGRs1c+Ej9pZZVA2CjFQAUrQRc8hxDMwClpQA52Wt1AbJwEfD1+EzN19CUBcCVJkkSPhveCs0CVN/LFQejsf7EHQuPioiIiEpTIwMAU8vIyEBGRga8vb1L7Lt69SqcnZ3h6uoKf39/vPvuu8jPrzkLIJVZA1BIe8Vg9Zt/fTUACqX+GoCiGYCSKUC2cpmmPailVwK+rF0AzBQgk3C0k+OHSe3hWVhP8fbGczh9O9WygyIiIiKDamQKkKktXLgQeXl5GD16tM72hg0bom/fvmjZsiUyMzOxfv16fPDBB7h69Sp+/fVXg9eLj49HQkKCzrbIyEizjL0smhoAQwfExwOLF+Ppg1FIy87HqrZDtLoAlaMGIF9dA6A/pnS2kyOvQGnxNqDqFqC2cgkNvF0sOhZrUt/DCd+Oa4cJPx5BXoESz6w6jq0v9IBvHQdLD42IiIiKqfUBwL59+zB37lyMGjUKDzzwgM6+H3/8UefziRMnYtq0aVi6dCleeeUVdOnSRe81Fy9ejLlz55ptzOUhK6sGICEBmDsXTxZ++keTHppOP3oDAD1pQUDRbIG+hcAAwMnOBilZ+RZvA3qpMABo6ONicKxUMV0beuG9h5th9pYLuJeei2d+PoG107roLQwnIiIiy6nVT0CXL1/G448/jhYtWmDZsmVGnfPaa68BAP7991+Dx0yfPh3nz5/X+di0aZMphlxuUgVWAtbMABQYXwOQm294ITAAcCnsBJRl4SLg6/GqWo4wX779N4dJXYMxqkN9AMCpW6l4b9OFcq1BQUREROZXa2cAbt++jf79+8PNzQ3bt2+Hq6tx+eCBgYEAgOTkZIPH+Pr6wtfX1yTjrCz1DEB5HsJKWwegzBoAA2971YXAlpwByMlXIDYtG4Cqjz2ZniRJeH9oC1yLz8CpW6n49fhtNK9XB5O6hlh6aERERFSoVs4AJCUloX///sjNzcXff/+NgIAAo8+9ceMGAMDHx8dcwzMpzQyA/ud2vQqK1QA4ahX26ksBEkJoggXDNQCqWNOSNQBRiZma9RAa+jhbbBzWzt5Gju8ntIdfHXsAwLytF/HfjSQLj4qIiIjUrDoAiIuLw+XLl3W69mRmZmLw4MGIiYnB9u3b0ahRI73npqenIzc3V2ebEEKzTsCAAQPMN3AT0swAGC4DLqH4OgCOWiv56lsHIFdrwTBDefXOhTMAWRbsAqTu/w+ABcBm5lvHAd9NaA87uQwFSoHpq0/iTkqWpYdFREREqMEpQIsWLUJqaipiY2MBAFu3bsWdO6r+4zNmzICbmxveeustrFy5ElFRUQgJCQEAjB8/HkePHsWUKVNw6dIlnd7/Li4uGDp0KADg5MmTGDt2LMaOHYuwsDBkZ2dj48aNOHjwIKZNm4Z27dpV6ddbUcYuBKatqAuQ6ledGYAyAoCyZgAyLDoDULSWQyhnAMyubZAHPny8BV5ffxbJmXl4ZtUJrH+2m05ASURERFWvxgYACxYswM2bNzWfb9iwARs2bAAATJgwAW5ubnrPO336NABg+fLlWL58uc6+4OBgTQAQHByMnj17YuPGjbh79y5kMhmaNm2K7777DtOmTTP9F2QmmjagFakBKDBuBiBPOwDQsw4AUFQDUB1mAHxd7TVFyWReIzsE4kJsOiIOReNCbDre+P0svh7TRhOYEhERUdWrsU9B0dHRZR4TERGBiIiIcp8HAKGhofjtt9/KP7BqpqgLkPHnFF8HoOwZgKKHens9KwEDgLO95WsArieqAoAGfPtfpd4Z0hRX7t7H4RtJ2HomFk38XPDCA/pT74iIiMj8rLoGgCrYBajwwV/9sK+d1qOvC5BOCpBt6SlAuQVKzfWrkhACNxJUKUDsAFS1bOUyfDu+Hep7OAIAFvxzFVvOxFp4VERERLUXAwArV5EaAPWDvzrdR7uwN19PFyD1GgCA4RoAJ600okwLpAElZebhfo5q9qGBN2cAqpqnsx1WTO4IVwdVIDhz3RkcjzbcSpeIiIjMhwGAlZNVaCEwpc45tnLtGQA9NQCKsrsAaefcZ1lgLQCdDkBMAbKIRn6uWDK+PWxkEvIKlJj603FEJ2aWfSIRERGZFAMAK1eUAmTgAHt7oFkzxNQNxVWvIOTZ2Gp6/avP0X6o11sDkK9VA2BwIbCiAMASdQDq9B+ALUAtqUcjb3z4eAsAQEpWPqZEHENqVp6FR0VERFS7MACwcupeKwZnAMLCgAsX8M4Ha9H/6cW46VG3xAyAXXlqAAy2AS0KDDJyqz4F6Ebhm2ZbuaTJRSfLGN0xCNP7NASg+nN5ZtUJnU5SREREZF4MAKxcmTMAhbT3q/P8NQGAvPQZgDwjFgJzsiuaAci2QA2AOgUoyNMJNgY6FVHVmdm/CYa0VK3AfSQqGf/bcLZchepERERUcXwSsnKSkTUA2vvV6wCoX/bbyot6tpe1ErChFCDttQSy8y2QApTIDkDViUwm4fNRrdE2yB0AsOFkDL7ZFWnZQREREdUSDACsnElmALRrAPR1AdJeB8CILkBVvRhYvkKJW0lZAFgAXJ042MqxdFIHBHqqUrK+2HEVm07FWHhURERE1o8BgJUzdgZAQGsGoLxdgIxYB0B7MbGqTgGKTc3WpC6FejEAqE68XeyxYnJH1ClsD/rG+rM4ciPJwqMiIiKybiZZCTg5uXL9vN3c3CCX608docrRzAAYOiAyEnjsMXyako2sPAWmDp+FAmU9AEVrB2jXAOSXUQRsZyC/XjcFqGoDgNvJ2ZrfB3o6Vem9qWxhvq74bmJ7TPrxKPIUqvag65/rhsZ+rpYeGhERkVUySQDg7e2tWXCqInbs2IEHHnjAFEOhYsqcAcjNBS5eRP3CT+0K8pGvUOoUZOrMAJSVAmRroA2oBVOAbqdkaX4f6MEAoDrq1tAbn41ohVd/O4P0nAI8sfwofn+uG+q6s2MTERGRqZkkAACAoUOHolWrVuU6JzMzE59//rmphkB6yCqwEnC+QqmT6lPWOgB5RrQBdbCxXArQ7WRVACCTgAB3hyq9NxlvWLv6uJueg8/+uoK4tBxMXnEU657pBjcnW0sPjYiIyKqYLAAYPnw4xo0bV65zkpKSsGDBAlMNgfRQzwCUp8VigULoBAxymQS5TIJCKUrtAiRJgI1M/0yQTCbBwVaGnHxl1acApahSgALcHHVmM6j6ea53Q9xLy8HKwzdx9V4Gpq46jp+mdIKDgZklIiIiKj+TPA19+eWX6NChQ7nPc3FxwZdffokmTZqYYhikR9EMgPEBQL5S6BwvSaogADAwA1BYNGwrl5WaCqZeCyArr2rbgKpnAIKY/1/tSZKE9x5pjsEt/QEAR6OS8cqvp/UGnkRERFQxJgkAXnrpJTRu3Ljc59nb2+Oll15CvXr1TDEM0kOmmQEw/pwChVLneJkkad7s61sJWN0a1FABsJq6E1B2XtWu+nqnsAZA3W6Sqje5TMIXo9qgU6gnAODP83cxb+sFLhRGRERkIsyHsHJSBWoAChQCCq2HLVkZMwD5hTMANvLSC8HVnYCqciGwrLwCJGbkAWABcE3iYCvH0okd0NhPtXDbysM3sWTvdQuPioiIyDpUeQCQnZ2Nffv2Yd++fVV961pJVoEagHylUicFSHsGQN9CYOqFw2xkpf91UncCqsouQHdS2AK0pnJzssXKKZ0Q4KYq3P7sryv4/cQdC4+KiIio5qvyAODWrVvo06cP+vbtW9W3rpUkVKAGQKGE0MrSkUkS5IUP96XNANiVMQPgoEkBqroAQJ3/DzAFqCYKcHPEyimdNAuFvfn7Wey5Em/hUREREdVsVR4AeHt747333sN7771X1beuldQv5ctXAyCKzQCgjBoAdQqQcTMAVdkFSCcAYApQjdTYzxU/Tu4IOxsZCpQCz/58AsejK7f4IBERUW1W5QGAl5cX5syZg9mzZ1f1rWslqSJdgBTFUoBkkia/X/8MgGqbbRkzAJZIAVK3ALW3kcHH1b7K7kum1THEE9+MbQuZBOTkK/FkxDFciE2z9LCIiIhqJBYBWzl1G9ByzQAodYuAJZ0uQIZTgMrqsW/JFKD6Ho6VWq2aLG9Ac398NqI1AOB+4WrBNxIyLDwqIiKimsdkC4FpM7bAt1evXua4PWlRP/IanAHw8QFmz8bP/91EYkYukp3c4KAQxdqAlt4FSL2trADAIilAhTMALAC2DiPa10d6dj7mbbuIxIw8TPzxKNY92xV13VnfQUREZCyzBAB9+vQx6m2rQlG1K8LWRuouQAbbgPr6AnPm4OeF+3D57n3VpmIpQHJJ0nT4UejtAmRcG9CqXghMCIE7hTMAzP+3HlN6hCItOx9f7byGmNRsTPjxCNY90xVeLkzxIiIiMoZZAoDdu3eX2KZQKBAdHY0ffvgBSqUSn3zyiTluTcVoUoBQeg6Q9hv/AqXQCRhUXYDKXgfAtow2oOoUoJx8JZRKAZnMvCk5adn5uJ+rCjbYAci6vPxQI6Rl5yPiUDRuJGTiiRVH8cvULnB1sLX00IiIiKo9swQAvXv3Nrhv8uTJ6NmzJ/bs2YMHHnjAHLcnLZoi4DIW39V+459foHpAL7oGtIqAS15IUwRsY1wRMADkFCg0MwLmcjtZaw0AzgBYFUmS8N7DzZCek48NJ2NwPiYdT608jp+mdNIEmkRERKRflRcBy2QyjBkzBsuWLavqW9dKxi4EphMA6FkITF5KEbCmDaiRC4EBVdMJ6HaK9hoADACsjUwm4bPhrdCvmR8A4GhUMp5ZdQK5BUwtJCIiKo1FugAlJycjNTXVEreudaSyagBycoALFxB8NwqNEm7CviCvcB2AokPkMkmT3lPaSsDGdgECqqYTUGxq0QxAPRaJWiUbuQzfjG2Lbg29AAB7rybg+dWnkFdQxpQXERFRLWaWHIxbt27p3Z6amop9+/Zh/vz56NmzpzluTcWUWQNw/TrQogWWF37ab8q3uOYTrPOmX9LqAlR6G1DjU4CqohNQXFoOAMDBVgZ3J+aGWysHWzmWTuqAJ5YfxfGbKfj30j28tPYUvhnbtszF6YiIiGojswQAISEhBrsACSHQpUsXfP/99+a4NRVTtBBY+c5TP9QDqiCitBqA8rYBBaomBehuYQAQ4MY1AKyds70NVjzZERN/PIrTt1Px5/m7ePW3M/hydBtN8EpEREQqZgkAli9fXuKBS5IkeHh4oGHDhmjWrJk5bkt6GFsDUJx2CkVZNQDqY8tqA6qdAlQVrUBj01QpQAFuDma/F1meq4MtVk7phPHL/sP5mHRsORMLOxsZPhveyuwdp4iIiGoSswQAkydPNsdlqQLKrAEwIFcnAIBmJWD9C4EZ1wZUu+tPThWkAKlnAPwZANQabo62WDWlM8Yu/Q+X797H+hN3YCuX4aPHW3AWiIiIqBATZK2cpgagnDMA2p1UZDKtdQD0FAEXVKANqLlTgAoUSsTfzwXAGYDaxsPZDj8/3Rlhvi4AgF+O3sLcrRfL/W+AiIjIWlV5AJCUlIR58+bh/fffr+pb10qyCtYAFE8BUrf41FcDkGdkG1BH26oLABIycjXpSgFu7ABU23i72GPN050R6u0MAIg4FI33t11iEEBERAQLBACJiYmYM2cO5syZU9W3rpWKUoAqUwNQehcg9QyAnU0ZAYD2QmBmTgFSdwACOANQW/nWccCaqZ01q0AvPxjFmQAiIiJYIAAICgrC7t27sWvXrqq+da1UlAJUvvO0c/11uwAZbgNqU0ahZVWmAN3VCgBYA1B7Bbg5Yu20rggqXAgu4lA03tt8QWelayIiotqmygMAR0dH9O7dG717967qW9dK6kfy8s4AFF8HwMbADIAQwug2oA42VRcAaC8CVpcpQLVaPXdHrJ3WBSFeqiBg1X83MWvzeQYBRERUa7EI2Mqp2x+WdwZA+0FfLpMg19QA6F4oX6souKyFwGQyCQ62quuYOwVIPQNgb8NFwAio666aCWhQWBOw5sgtvL3xHIMAIiKqlczSBlTt4MGDOHnyJNLS0qAsVjwqSRLeffddc96eUPEaAEXxFCADMwDaRcHGrLrqaCtHTr7S7OsAxKWrFwFzYPtHAqBKBVs7rQvGLv0P1xMysfbYbSiUAp8Mb8XFwoiIqFYxSwCQnJyMIUOG4OjRoxBCQJIkTeGd+vcMAKpGRWsAFEI3BaioDahuIKc7A1B2AOBkZ4OUrHyzpwDFpaoXAWP6DxXxreOAX6Z1wfilR3AtPgPrTtyBQgjMH9GaQQAREdUaZkkBev3113H27FmsWbMGN27cgBACf//9N65evYpnn30Wbdq0QWxsrDluTcWUWQPQsCFw/jyGP/89+k35Frc8AgDoPuhrzwCUTAEqOq6sFCCgqBNQVaUAsQMQFefrqgoCmvi5AgA2nIzBS2tP6XS+IiIismZmCQC2b9+OZ555BqNHj4arq+o/WZlMhrCwMHz77bcICQnByy+/bI5bUzGaGQBDBzg4AM2bI9InBNd8gpFrYwdA90FfLpMgN9AFqKCcMwDqtQDMOQOgUArcK1wEjB2ASB9vF3usmdoZ4f6qn0/bzsbh2Z9PVMkK1URERJZmlgAgNTUVzZs3BwC4uKhW48zIyNDs79+/P/7++29z3JqKkRlZA1C8N7puDQBgW1gEXLwGQHsGoKw2oEDRDIA5A4CE+9qLgDEAIP28XOyxdloXtAl0BwDsuhyPySuOIiPXvPUpRERElmaWAKBu3bq4e/cuAMDe3h6+vr44c+aMZn9MTAwLM6uIpFUDUNoCSMV36bYBlXQWAtO+jnYAUNZCYEDRWgDmfNMal1bUApQ1AFQadyc7/Px0Z3Rt4AUA+O9GMsYvO4LUrDwLj4yIiMh8zBIA9OrVCzt27NB8Pnr0aHz22Wf48MMP8f7772PhwoXo27evOW5Nxci0Aq3SJgGK79IuAtauAQB0gwPtlCAbWfVIAeIiYFQeLvY2WPFkRzwQ7gsAOHM7FWN++A/x93PKOJOIiKhmMksXoFdffRU7duxAbm4u7O3tMWfOHFy4cEHT9adXr1745ptvzHFrKkZ7okUpBGQoNvMSHw8sXozn9kQiX6HEqrZDkOTsDoVCNwVIrlXgW6AUUK/ppV04aVOOIuBsMwYAsVoBAFOAyBgOtnJ8P7E9Xvn1NLadjcPlu/cx+vv/8PPTnVHPnbNIRERkXcwyA9CyZUu8+uqrsLe3BwB4eHjg33//RXJyMtLS0rBnzx4EBARU+PoZGRmYPXs2Bg4cCE9PT0iShIiICKPPT01NxbRp0+Dj4wNnZ2f07dsXJ0+e1Hvsli1b0K5dOzg4OCAoKAizZ89GQUHNyRHWTsvXfstfoFCq0nASEoC5c/H8vtV4+eAv8MxKU+03sA5A8X3av7czqg1oYQBgxhSgu4UpQHY2Mng625ntPmRdbOUyfDWmLcZ0DAQARCVmYuSSQ4iMzyjjTCIiopqlSlcCdnd313QFqozExETMmzcPly5dQuvWrct1rlKpxJAhQ7BmzRq88MIL+OyzzxAfH48+ffrg2rVrOsf++eefGDp0KNzd3fHNN99g6NCh+OCDDzBjxoxKfw1VRbvWQl0InK9Qov/Cfej44b+IT9ef5lB8ITDtVCLtfTpFwMbMAGhSgMwXRMWlcREwqhi5TMLHw1riqR6hAFSzSSO/O4RTt1IsPDIiIiLTMUkK0MmTJ9GgQQO4u7uX6zyFQoEzZ86gSZMmcHZ2Nvq8gIAAxMXFwd/fH8ePH0fHjh2NPnf9+vU4dOgQ1q1bhxEjRgAARo0ahcaNG2P27NlYs2aN5tiZM2eiVatW+Oeff2Bjo/pW1alTBx999BFeeuklhIeHG31fS9FXA3DoehJuJGQCAH7YfwOz9JynUwMgg84iSUoDAYBRbUDtVN/HnHwllEoBmRkWX4pPV7UA9XNl+g+VnyRJmDWkKdwcbfHFjqtIycrHuKVHsHhCO/Rt4mvp4REREVWaSWYAOnbsiO3bt5f7vNTUVHTs2BFHjhwp13n29vbw9/cv9/0AVQDg5+eHYcOGabb5+Phg1KhR2Lx5M3JzVQ+PFy9exMWLFzFt2jTNwz8ATJ8+HUIIrF+/vkL3r2rFawAA6FQBpGfn6z2v+AyAdgCgHRzorgNQ9sO8OgUIAHIKzJMGpC7e9Kljb5brk/WTJAkvPtgIHw9rCZmkSlmbuvI4fj9xx9JDIyIiqjSTzAAIIXD58mXs27evXOelpaWV2prSHE6dOoV27dpBVqxjTadOnfDDDz/g6tWraNmyJU6dOgUA6NChg85xdevWRf369TX7qzudGoDCb7WDbdFDuKHVTwuKFQFrzyRUagZA695ZeQo42Zm+Dj2hcBEwHxcGAFQ5YzsFwdPZDi/+cgq5BUq8tu4MkjJzMa1XQ0sPjYiIqMJM9vT1wQcf4MMPPyzXOUKIKs/RjouLQ69evUpsVxclx8bGomXLloiLi9PZXvzY2NhYg/eIj49HQkKCzrbIyMjKDLvCZHpqAOy1+vXnKfQHAApl0fbSZgDyFeVsA6o1A2COTkCZuQXILLyuL2cAyAQGNPfHqqc64+mVx5CeU4CPtl9GfHou3h7c1CwpbEREROZmkgBg9+7dlTq/vIW8lZGdna3pTqTNwcFBs1/7V0PHpqenG7zH4sWLMXfuXFMMt9J0i4DV24r25xqaASieAmREEbCdTflSgMzRCUj99h/gDACZTqdQT6x7thsmLT+Ce+m5WHYgCokZufhsRGujFsAjIiKqTkwSAPTu3dsUl6kSjo6Omjx/bTk5OZr92r8aOla9X5/p06dj5MiROtsiIyMxdOjQig67wnRTgFQP7toP8IZSgJTFFgKT6RQBFx1XoPVJeRYCA8yzGFhCRtGfl28dFgGT6TTxd8Xvz3XDpOVHcSMhE5tOx+Jeei6+m9Aebk62lh4eERGR0Wrdqyt1B6Hi1Nvq1q2rOU57e/Fj1cfp4+vri+bNm+t8hIWFmWL45ab9Tl793K/1/G9UDYAkAdrp/QZTgMqxEBhgnlag6g5AAGcAyPTqezjh92e7oW2QOwDg8I0kDP/uEG4nZ1l2YEREROVQ6wKANm3a4OTJk1AqdR98jxw5AicnJzRu3FhzHAAcP35c57jY2FjcuXNHs7+6035zr54B0H67n2ugE4/2LIFcZtw6AMYtBFY06ZRjlhSgonUNfFwZAJDpeTjb4ZepXTCohaoTWWR8Bh5ffBCnb6dadmBERERGsuoAIC4uDpcvX0Z+flGryxEjRuDevXvYsGGDZltiYiLWrVuHRx55RJPz37x5c4SHh+OHH36AQlH0oLpkyRJIkqRZQ6C601cDoJsCpL8LU4kaAFnJYmJAd6bApgJdgExNnQIkl0lcBZjMxsFWjm/HtcO0Xg0AAIkZeRjzw2H8feGuhUdGRERUNtP3YKwiixYtQmpqqqYbz9atW3HnjqpH94wZM+Dm5oa33noLK1euRFRUFEJCQgCoAoAuXbrgySefxMWLF+Ht7Y3FixdDoVCUKNydP38+Hn30UfTv3x9jxozB+fPnsWjRIjz99NNo2rRplX69FaWvBkD7AT5TkkPZrBki72UAAPJsVLnMOguBSTCqCLi86wCYIwBQpwB5OdvpBC1EpiaTSXh7cFMEejhi9pYLyMlX4tmfT+DdIc0wpXAlYSIiouqoxgYACxYswM2bNzWfb9iwQfNWf8KECXBzc9N7nlwux/bt2/H666/j66+/RnZ2Njp27IiIiAg0adJE59iHH34YGzZswNy5czFjxgz4+Pjg7bffxnvvvWe+L8zEJJScAdDOfrrpURcffboOyw5E6Zyn0KkB0C0C1g0AtBcCK18bULOkABXOADD9h6rKxK4hqOfhiBfWnEJWngLztl3EreQszBrS1KhZMSIioqpm9gAgLi4O8fHxCAsLg7Ozs8muGx0dXeYxERERiIiIKLHdw8MDy5Ytw7Jly8q8xtChQy3SvcdUdGYAUHIGAECJh3+geAqQ7gyAUhiaAbB8CpB6BsCXAQBVoQfC/fDbM10xJeIY4u/nIuJQNKISM/HNuLao48AOQUREVL2Y7fXU5s2bER4ejvr166Ndu3Y4cuQIAFW+fdu2bbFp0yZz3Zq0yPTVABix+rL2QmByWbGFwJTaNQCq41SdgozoAlRFNQCcAaCq1qKeGzY93x3h/q4AgL1XE/D4twcRlZhp4ZERERHpMksAsHXrVgwbNgze3t6YPXu2JvccALy9vVGvXj2sWLHCHLemYrQX/VIWPrgLYwIArUOKpwDpzAAUXtPWiDUAAFXetIOt6thsE7cBVSgFkjLUMwBcA4CqXl13R/z+XDf0a+YHALiekImh3x7EwchEC4+MiIioiFkCgHnz5qFXr144cOAAnn/++RL7u3btilOnTpnj1lSMdhcgoekCVPZ52jMAMkk3lUj7/PzCdQSMKQBWU88C5OQbMZBySMrM1cxycAaALMXZ3gbfT2iP5/s2BACkZedj0vKjWHU42rIDIyIiKmSWAOD8+fMYNWqUwf1+fn6Ij483x62pGO0Hd6WelYCDU2Lxz7Lpmo/gFFVXJe32njJJMlgDoK4VKE+xozoAyDZxEXDCfa1FwBgAkAXJZBJeHxCOr8a0gZ2NDAqlwLubL2DWpnM6dTNERESWYJYiYCcnJ2RmGs57vXHjBry8vMxxaypGuwZA/diunQJkV5CPxkm3dD4HdIMEWfEUIO11BBTqGQDjAwAHO/MHACwCpurgsTb1EOzljKk/HUfC/Vz8/N8tXI/PxKJxbeHFlaqJiMhCzDID0LdvX6xcuRIFBSVzvO/evYulS5eif//+5rg1FSPpmwEwogZApwuQTLfAVyFKFgFXKAXIxEXA8ZwBoGqoTaA7trzQHS3rqVoTH76RhEcXHcS5O2kWHhkREdVWZgkAPvzwQ9y5cwcdO3bE999/D0mS8Pfff2PWrFlo2bIlhBCYPXu2OW5NxejMAGgWAiv7PKUoNgNgYCEwdapQeWYAmAJEtU2AmyN+e6YrHm1dFwAQk5qN4d8dwrrjty08MiIiqo3MEgA0adIEBw4cgJeXF959910IITB//nx89NFHaNmyJfbv369ZmZfMS3cGoPBXIyKAEjUABroAqVOAbMozA2DmFCAXexs42dXYNe7ISjnayfHVmDaYNaQp5DIJeQVKvL7+LGZtOoe8AtYFEBFR1THbU1Lz5s3x77//IiUlBZGRkVAqlWjQoAF8fHzMdUvSQ6a3C5Ax6wAYXghMu4ZRHSjYGLEGgJqDegbAxClA6gCAb/+pupIkCU/3bIDmdd3wwpqTSMrMw8//3cLF2HQsmdAefnXYvpaIiMzP7OvUe3h4oGPHjujcuTMf/i1AXxeg4isB61Og1QZUtQ5A0T6dFCB1FyAj1wEAtNuAMgCg2qlrQy9se7EHWge6AwBO3krFkK8P4GhUsmUHRkREtYJJZgB++umnCp03adIkU9yeSiHpad9pTACgfsZXp/4YSgFSrxdQkSJgU6cAxd/PAcAAgGoGVV1AF8zZcgG/HL2NxIxcjFv6H94Z0hSTu4Xo/NslIiIyJZMEAJMnTy6xTf2fV/FVZ7X/U2MAYH7ajxDqPwpjioDVMwDq5365oSLgwt/Ly5ECpKkBMFcKENsrUg1hbyPHx8NaoVV9d8zefAF5CiXmbr2I4zdT8MmwlnB1sLX0EImIyAqZJACIiorS+Tw1NRVPPPEE3NzcMGPGDDRp0gQAcPnyZXzzzTe4f/8+Vq5caYpbUxkqWgOgzgBSB2wygzMA5U8BcjDDSsDZeQpkFgYUnAGgmmZspyCE+7ti+uqTiEvLwR9n43A+Jg3fjmuHFoXtQ4mIiEzFJDUAwcHBOh8LFy6Ej48P9uzZgxEjRqBly5Zo2bIlRo4ciT179sDLywtffvmlKW5NZdB+Lq9IDYBZZgAKA4A8hVKzjkBlJWYUtQD1crYzyTWJqlLbIA/88WJP9GmiqpW6mZSFYYsPYdV/N0vMpBIREVWGWYqAN23ahMcff1xvDqtMJsOwYcOwefNmc9yaitFbA1COLkDqB3+dhcB01gGoSBvQor92OSZqf5icmaf5vScDAKqhPJ3tsPyJjnhzYLiqVahCiXc3nceMX07hfk6+pYdHRERWwixtQIUQuHz5ssH9Fy9e5ButKiLTCQBUv2q1+EeykxsWdh+r8zlQ9GZfZmQKUEVmAABV6o6LfeX/GmoHAF4uDACo5pLJJDzXpyE6hHhgxppTuJueg23qlKDx7dC8LlOCiIiocswSAAwdOhRLlixBSEgInn32WTg5OQEAsrKysGTJEnz//fcYP368OW5NxegWAQudXwGgWZswLHQu+WehKIwSJL0pQEXHVaQNqL1WAGCqVqBJOjMArAGgmq9jiCf+eLEHXv3tDPZeTUB0UhYeX3wIsx9phnGdgtgliIiIKswsKUBfffUVunXrhpkzZ8LDwwMhISEICQmBh4cHXn/9dXTp0gULFy40x62pGJ0i4MJftVN47OT6/wooCoME9Zt/nXUA9BYBV3AGwEQBQHKmVg0AZwDISni52GPF5I54Y2ATzerB72w8j+d+PokUraCXiIioPMwyA+Dm5oa9e/di8+bN+PPPP3Hz5k0AwMCBAzF48GA88sgjfHtVRXQWAlOqi4CLthnK3S+eAqQ9A6DUVwRcgXUAANPPANjKJbiaIKWIqLqQySRM7xOGDsGemPHLSdxLz8VfF+7i9O1UfDGqNbqFeVt6iEREVMOY9Unpsccew2OPPWbOW1AZJD01ANo5/DaGZgCKBwAGioArNANgp1sDYArJGaoAwNPZjsElWaVOoZ7466VeePP3s/jn4j3cTc/B+B+PYFqvBnitXxPY2Zh9YXciIrIS/B/Dymk/C6tz/7Uf4J0U+WiUcFPzYV+Qp3OM+rneUBFwfmFBQHmKgB3MkgKkDgCY/0/Wy8PZDt9PbI+PHm8JB1sZhAC+33sDw5YcxPWEDEsPj4iIagizzACEhoaW+RZWkiRcv37dHLcnLfpqALQf4P0S7mDH8uc1n/eb8i2u+QSXON/QOgCVrQEwdQoQ1wAgaydJEsZ1DkKnUE+8/OspnI9Jx/mYdDz89QG890gzjOkYyFkwIiIqlVkCgN69e5f4D0ihUODmzZs4ePAgWrRogbZt25rj1lSMTg2AnnUAynpzr1kITDsFSOipAShHFyCdFCCTBQCqImCuAUC1RZivCzY81x2f/3MF3++7gex8Bd7acA57rsTjo8dbwsuFs2FERKSfWQKAiIgIg/vOnDmDAQMGsA1oFdFfA6D6VS6TjJqpAYqtJ6BnBsC2gkXA2XkmWghMqwaAqLaws5HhrcFN0auxD1797TTupefi7wv3cOJmCj4e1gr9mvlZeohERFQNVXkNQOvWrfHMM8/gzTffrOpb10r6ZgA0LT4l3dQefdRv/nWLgIv2F1SgBsDUbUBz8hXILCwmZgoQ1Ubdw7zx10u9MLC5PwAgMSMPU386jtd+O4O0bK4gTEREuixSBOzn54eLFy9a4ta1jvYbflEsBUgmSTrFvfpoioC1DqvsOgAOdkV/7UxRA6C7CjDTHqh28nC2w5IJ7fDl6NZwdVBN7v5+8g4GLtyHfVcTLDw6IiKqTqo8AEhKSsKPP/6I+vXrV/WtayWZThcg1a/qmQC5TNJJ7dF/vmq/JEmaa2mnAOVXoAbATi7TXMsUbUCTdVYB5gwA1V6SJOHxtvXxzyu90KuxDwAgLi0Hk5YfxaxN55CZW2DhERIRUXVglhqABx54QO/21NRUXL58GXl5eVi1apU5bk3FyPTUAKhTeGSShLLe22vHB3KZBKVCVHoGQJIkONrKkZmnMEkKUJLODAADAKIAN0esfLIj1h67jQ+2XURmngI//3cL+64mYsHI1ugU6mnpIRIRkQWZZQZAqVRCCKHzAajag77wwgs4f/48xo4da45bUzGSvi5A2jUAZfwN0M7tV6cTqWcAhBCaAKA8NQBAUScgUwQAyYUdgADOABCpSZKEsZ2C8NfLvdC58IH/VnIWRv9wGHO2XOBsABFRLWaWGYA9e/aY47JUAdrv+EXxAEBmTA1A0X51wbD6oV97PYDyzAAARYuB5ZggBSgpQ2sGgAEAkY5ATyf8MrULVhyKxmd/XUZugRIRh6Kx4+I9fDyspSZViIiIag+zzADMmzcP58+fN7j/woULmDdvnjluTcVop+YLTQpQ4Vt7o1KAtAKAwod89XN/gXYAUNZUQjHqTkCmmQHI04yvjoNtpa9HZG1kMglP9QjF9pd6omOIBwAgJjUbk5YfxWu/nUFqVl4ZVyAiImtilgBgzpw5OHv2rMH958+fx9y5c81xaypGXw2A+ldJkspsA6r9Yl9TBCwqPwNg2hQg1cOLh5NdmTMaRLVZQx8X/DqtK95/rDmcC/8N/n7yDh76Yi/+OBunmSUkIiLrZpE2oMnJybCzY6pGVShtJWC5DJDKkwIk000BKlAYv6JwceoUIFN0AUosTAFi+g9R2WQyCRO7huCfV3ujbxNV+k9iRh6eX3MS01adwL30HAuPkIiIzM1kNQD79u3Tyf3fsGEDIiMjSxyXmpqKX3/9FS1btjTVrakUuisB69YAyCUJGfWC0W/Kt5pjbnkE6Jyv/UZdEwAUnl+gLFoRzKYcKwEDRSlAplkHQFUEzA5ARMar5+6I5ZM7YsuZWMzZcgEpWfnYcfEe/ruehDcHhWNcpyDOqBERWSmTBQC7d+/WpPVIkoQNGzZgw4YNeo9t1qwZvvnmG1Pdmkqh/d+3pgag8DeSJEE4OOCaT7DB83VTgHS7AGmnAJW7C5AZagDYAYiofCRJwmNt6qFHmDfmbbuIzadjcT+3ALM2ncf6E3fw4eMt0Lyum6WHSUREJmayFKA33ngDCQkJiI+PhxAC3333HRISEnQ+EhMTkZWVhfPnz6Nz586mujWVQjuFR0DdvlP1eXkWAlMfD2ilAFWTGgD1OgBMASKqGC8Xe3w1pi2WT+6Aeu6OAIDTt1PxyDcHMG/rRWSwZSgRkVUx2QyAo6MjHB1V/3FERUXBx8cHTk5Opro8VZBOEXBhxo76Ad6YdQD0zQAo9BQBl2clYEC7BkBZxpGlyytQ4n6O6uHE09m+Utciqu0eCPdDl1e98PXOSCzbfwMFSoHlB6Ow/VwcZj/SDANb+OukFRIRUc1kliLg4OBgPvxXE/oWAlNorwNQxn/metuA6pkBsLVQDUCKVvtCT9YAEFWak50N/jcoHH+8WNQy9G56Dp5bfRJPRhzDraQsC4+QiIgqyyQzAKGhoZDJZLh8+TJsbW0RGhpa5lsiSZJw/fp1U9yeSqH9x6BO/RFaRcBOqUl4+cBqzTGr2g5BkrO75nO5vhQg9ToACmWJfcZytFPFntn5CgghKvxWkYuAEZlHE39X/DqtK9afuIOP/7yElKx87LmSgH5f7sXzfcMwrVcDzUweERHVLCYJAHr37g1JkiArTANRf06Wp68GoCgFSIJzWgpePviL5pg/mvTQCQC0M3s06wCYogag8MFBoRTIVwjY2VTs74u6ABhgETCRqclkEkZ1DMRDzfzwyZ+X8NvxO8gtUOKLHVfx2/HbmDWkGQY09+PPeyKiGsYkAUBERESpn5PllLYQmEwmVWodAFPUAACqWQA7m4ployVncQaAyNw8ne3w2YjWGNE+EO9tPo/Ld+/jTko2nv35BHqEeWP2I83QyM/V0sMkIiIjWWQhMKo6pS0EJpN09+uj/WaveBGwKboAAZWrA0jTCgDcnRgAEJlTp1BPbJvRA+8PbQF3J1sAwIHIRAz8aj/mbb2ItOx8C4+QiIiMYZIZgH379lXovF69epni9lQanQBA9av6Ad6YNqDatb3Fi4AVykrUAGjPAFRiNeCUrKIHDjdH2wpfh4iMYyOXYWKXYDzcMgBf7LiK1UduQlHYLWjz6Ri8PqAJRnYILPfPBCIiqjomCQD69OlTrhxQddGnQlH5HvBUOp0aAM1KwKrPJUkqcwZAbwqQegZAoTUDUMEuQEDl1gJILQwAnO3kFU4jIqLy83C2w/tDW2BspyDM2XoBR6OSkZSZh/9tOIfVR25h9iPN0CHE09LDJCIiPUwSAOzevdsUlyEz0H6AX/3fLfRu7KN5gy+XUK42oJoUIL1FwOWsAbAzVQCgSgFi+g+RZTSrWwe/TuuCP87F4cM/LiEuLQfnYtIw4rvDGNzSH28ODEewl7Olh0lERFpM1gWoKuXm5uK9997DqlWrkJKSglatWuGDDz5Av379Sj0vJCQEN2/e1LsvLCwM165d03xuaEbj448/xv/+97+KD76Kab/hv3LvPgYs3Id2Qare3nKZhLKe22X6UoD01ABUJgUopxIpQKmFOcfqfGQiqnqSJOHhVnXxQLgvvttzHd/tu4G8AiW2n7uLHRfvYWKXEMx4IAweLNQnIqoWTLYSsCHx8fGIjo4GoHoA9/X1rfQ1J0+ejPXr1+Pll19Go0aNEBERgcGDB2P37t3o0aOHwfMWLlyIjIwMnW03b97ErFmz0L9//xLH9+vXD5MmTdLZ1rZt20qPvyoVD2Ry8pWaN/iqFKBydAEqNgOgXQNQ0TagQOVmANQLgXlwBoDI4pzsbPBq/yYY3SkIC/6+go2nYpCvUNUHrD9xGzMeaIRJ3YJhb8P1A4iILMlsAcDOnTvx5ptv4tSpUzrb27Zti08++QQPPfRQha579OhRrF27FvPnz8fMmTMBAJMmTUKLFi3wxhtv4NChQwbPHTp0aIltH3zwAQBg/PjxJfY1btwYEyZMqNA4qwt9z/fqBcHkRgQA2m/21bMF6ud+7RqA8i8EZpoAIK2wBsCNMwBE1UY9d0d8OboNpnQPxYfbL+K/G8lIzynAh9sv4af/ovHGgHA83CqA6wcQEVmIWaomN27ciAEDBiAuLg5vvPEGli1bhmXLluH1119HXFwcBg0ahI0bN1bo2uvXr4dcLse0adM02xwcHPDUU0/h8OHDuH37drmut2bNGoSGhqJbt25692dnZyMnJ6dCY60O9D3gq4t4ZTLdlX71kfSkAKnP114HoFJFwCZIAfJgAEBU7bSs74ZfpnbBskkd0MBHVQdwOzkbM345hccXH8Kx6GQLj5CIqHYySwAwa9YstGjRApcvX8bHH3+MJ598Ek8++SQ++eQTXLp0CU2bNsWsWbMqdO1Tp06hcePGqFOnjs72Tp06AQBOnz5drmtdunQJ48aN07s/IiICzs7OcHR0RLNmzbBmzZoKjdmS9L2YL9BaCbisN3Ayo4uAyxcAaC8EVtF1AJRKUVQE7MgUIKLqSJIkPNTMD3+/3AvvD22hWbDv9O1UjPzuMKZEHMPF2HQLj5KIqHYxSwrQjRs38Mknn8DVteTKkHXq1MFTTz2Ft956q0LXjouLQ0BAQInt6m2xsbFGX2v16tUA9Kf/dOvWDaNGjUJoaChiY2Px7bffYvz48UhLS8Nzzz1X6nXj4+ORkJCgsy0yMtLocZmSvhkAddGtXCYB9va46hWk2Zdno/smvbQiYEUlugCZIgXofm6BpqUpi4CJqjfbwvUDhrapi+/2Xsey/VHILVBi1+V47Locj0db18Wr/RojxJsdg4iIzM0sAUB4eDji4+MN7r937x4aN25coWtnZ2fD3t6+xHYHBwfNfmMolUqsXbsWbdu2RdOmTUvsP3jwoM7nU6ZMQfv27fH2229j8uTJcHR0NHjtxYsXY+7cuUaNwxKy8gsAqIKDvNBQ9H96scFjSysCzldUfCEwB62e/dl5ylKONCyVqwAT1TiuDrZ4fUA4JnQJxtc7I/Hb8dtQKAW2nInFH+fiMKpDIF56sBH83RwsPVQiIqtllhSgzz77DN999x02b95cYt/GjRvx/fffY8GCBRW6tqOjI3Jzc0tsV+fpl/Zgrm3v3r2IiYnR+/ZfHzs7O7zwwgtITU3FiRMnSj12+vTpOH/+vM7Hpk2bjLqPqembAVDn3MuM6QKkUwRcvAtQxWsAbOQy2MlVf/0qOgOQqrUKsDtXASaqUQLcHPHxsJb499XeeKR1XQCqnym/HL2F3vN346Ptl5CSmVfGVYiIqCLMMgPwzTffwMfHB8OGDUPdunURFhYGQJUGExsbi8aNG+Prr7/G119/rTlHkiS9AUNxAQEBiImJKbE9Li4OAFC3bl2jxrh69WrIZDKMHTvWqOMBIDAwEACQnFx64Zqvr69J2p2agr4X81maAKDshcB0UoAk060DAAAOtjLkKZQVrgFI0ZoB8HBmAEBUE4V6O+ObsW3xbO8GWPD3Fey+koDcAiV+2HcDa47cwtSeDTClRwhcHfhvnIjIVMwSAJw9exaSJCEoSJVbrl4HwMbGBkFBQcjJycG5c+d0zjG2HVybNm2we/dupKen6xQCHzlyRLO/LLm5ufj999/Rp08fowMGQFXbAAA+Pj5Gn2Np+h7ws7RqAMp6cNdJASptBqCcNQCAqg4gPaegwl2A0rKLZgDcWARMVKM1r+uGFU92wrHoZMz/6wqORicjI7cAX/57FcsPRuHpHqGY3J2BABGRKZglAFA/8JvDiBEjsGDBAvzwww+adQByc3OxYsUKdO7cWfOW/tatW8jKykJ4eHiJa2zfvh2pqakG038SEhJKPOTfv38fCxcuhLe3N9q3b2/ir8p8SourZLKyU4C0AzP1b9XP/ZWdAVC3AjVFChDbgBJZh44hnvj1mS7YczUB8/+6gotx6UjLzsfnO65i2QEGAkREpmD2lYBNrXPnzhg5ciTeeustxMfHIywsDCtXrkR0dDR+/PFHzXGTJk3C3r17IYQocY3Vq1fD3t4ew4cP13uPb7/9Fps2bcIjjzyCoKAgxMXFYfny5bh16xZWrVoFO7ua87a5tJkVmSTB8eYN/LNsumbb1OGzcNOjrtYxRceX7AJU8ZWAgaJWoBUNALRTgNxYA0BkNSRJQt8mvujdyAc7Lt3Dwn+v4RIDASIikzFrAJCfn4+YmBikpKTofRBv165dha77008/4d1338WqVauQkpKCVq1aYdu2bejVq1eZ56anp+OPP/7AkCFD4ObmpveY7t2749ChQ1i2bBmSkpLg7OyMTp06Yfny5XjggQcqNGZLkklFb+21ySXApiAfjZNuabbZK/J1j9F6sC/ZBajiRcBAUSvQitYAqGcAXB1sYCM3Sz07EVmQTCZhQHN/9Gvqx0CAiMiEzBIApKamYubMmVi9ejXy8kp2cRBCQJIkKBQVe/BzcHDA/PnzMX/+fIPH7NmzR+/2OnXqlNkqtF+/fujXr1+FxlYdySRJ89a++PbiqfvFVwbWWQhMPQNgqhoA9QxABWsANIuAMf2HyKoZEwhM7haCyd1C4OFcc2ZoiYgsxSwBwOTJk7F161aMGTMGnTt3NvimnSxLJpMgg+4Dv1QslUfS0wVIoacLUAUygCpfA1BYBMxVgIlqh9ICga92XsPS/TcwvnMQnu7ZAH51uI4AEZEhZgkA/vnnH7z44ov48ssvzXF5KqcCffk/0N8G1JgZAPX6X+oaABuZZHQXJ20OdpWtASgMADgDQFSraAcC/1y8h293R+JcTBqy8hRYuj8KKw/dxPD29fFs7wYI9uLKwkRExZklcdrLy0vT+5+qL7lMXwpQyWOKfq/6tfg6ABXpAAQUzQDkVLQNqCYFiDMARLWRTCZhYAt/bHmhO36a0gmdQz0BAHkKJX45egt9F+zBi7+cwuW76RYeKRFR9WKWAGDatGlYu3YtlFpdYqj6UdUAFHvjb0wKkLoGoLAIuCIdgADTpQCxBShR7SZJEno19sGvz3TF7891xYPhqoUYlQLYciYWAxfux9Mrj+HEzdIXcSQiqi3MkgL07rvvIjc3Fx06dMDEiRNRv359yOXyEscNGzbMHLcnI8kkCXKUHgCUVgSsngGoaAcex0qkACmUQrMQmDtbgBJRofbBnvhxsicuxaVjyZ7r2HY2FkoB/HspHv9eikfbIHdM69kA/Zv7V3j2koiopjNLABATE4Ndu3bh9OnTOH36tN5jKtMFiExDrid3v3hRsKzUIuCiGoCKcLBRBQ45+UoolaJE8FGa+zn5UDc2YgoQERXXNKAOvh7bFq/2a4zv913H7ydikKdQ4tStVDy3+iSCPJ0wpXsIRnYIhLN9jVsSh4ioUszyU2/KlCk4efIk3nrrLXYBqsYkCSVqAEp8LmnXABRLAapkDYC6CBgAcguUmhkBY6RorQLMImAiMiTE2xkfD2uFV/o1xk+HbmLVfzeRlp2PW8lZmLP1Ir789xomdAnCE11D4MvOQURUS5glADhw4ADefPNNzJ071xyXJxORS1KJrj9GrQOgngEwUQ0AoFoMrDwBQKrWKsAenAEgojL4ujpg5oAmmN63IdYdv4MfD0ThVnIW0rLz8e3u61i6LwqPtqmLqT0boIm/q6WHS0RkVmYpAvb394enp6c5Lk0mJJdJKJbxU2oNQIkiYPUMQAVWAQZ0A4Dy1gGkas0AuHEGgIiM5GRngye6hWD3zD74bkI7tAtyB6DqHLT+xB0MWLgPk5Yfxe7L8Zp6JyIia2OWGYDXXnsNS5YswVNPPQUXFxdz3IJMQJIkSD4+WNh9rGZbuqs7kFt0jHY8UDQDoFrNWVMEXIFVgAHovPEvdwCQXTQDwCJgIiovuUzCwBYBGNgiACdupmDZ/hv468JdCAHsu5qAfVcTEOLlhIldQzCyQ33UceDPGSKyHmYJAHJycmBra4uwsDCMGjUKgYGBJboASZKEV155xRy3JyPJZYDk54eFPcZrtjVwdQZyMzWfa88IaKcHKUVREXCFawC0ZwDKuRaA9gwAU4CIqDLaB3ugfXB73EzKxPIDUVh/4g4y8xSITsrC+9su4vN/rmB4u/p4olswwnyZHkRENZ9ZAoCZM2dqfr9o0SK9xzAAsDyZJJVYCbjUdQC0XvQrlMLkNQDloS4CliSgDmcAiMgEgr2cMfexFnhtQBP8fuIOVh6KRnRSFrLyFFj1n6qAuEeYN57oFoIHwn3ZRpSIaiyzBABRUVHmuCyZmCoA0N1WWlGwdnCgFEJTA2BT0RqASqQAqVcBruNgy/+Eicik6jjY4snuoXiiawj2XkvAykPR2HMlAQBwIDIRByITEejpiIldgjGqQyBbERNRjWOWACA4OLjMY1JSUsxxayoHuUwq8fBc/HN9RcBA4QyApg1oBWsAKpMCVLgImBvf/hORmchkEvo28UXfJr64kZCBnw7fxPoTd5CRW4Dbydn4aPtlLPjnKh5uGYDxXYLQLsijxNoqRETVkVm6ABmSm5uLdevWYejQoQgICKjKW5MeMgmQ5eWiUcJNzYeDIk/nGN0UIK0AQHsGwBQ1AOWcAUhnAEBEVaiBjwvmPNoc/739IOY91hwNfZwBAHkFSmw4FYPhSw5j0Ff78dPhaKTn5JdxNSIiyzL78odCCOzcuROrV6/Gxo0bkZ6eDh8fH4wbN87ct6YyyGQSbKJuYMfy5zXbXnjnJ5xEUQtXnXUAtIuAlaLSRcDaKUDlrQFIzykAANRx5AqeRFR1XOxtMKlrCCZ2Ccbh60lYfeQW/r5wFwVKgct37+O9zRfw8fbLeLR1XYzvEoRW9d0tPWQiohLM9vR04sQJrF69GmvXrsXdu3chSRLGjBmDF154AV26dOE0aTWgrwi4+FJc2g/3OjMAJi4CLm8KEGcAiMiSJElCtzBvdAvzRvz9HKw7fge/HL2FOynZyM5X4Nfjt/Hr8dtoWc8N4zoH4dHWdeFszxcWRFQ9mDQF6MaNG3j//fcRHh6OTp06Yf369Rg/fjx+/fVXCCEwfPhwdO3alQ//1YRcTxFw8T8b7cJfWbEUoKIaAFMsBKYs17lphQEAe3MTkaX5ujrg+b5h2Pd6X0Q82RH9mvlpfraei0nDWxvOodOH/+LN9Wdx4mYyhOACY0RkWSZ7HdG1a1ccPXoU3t7eGDFiBJYtW4YePXoAAK5fv26q25AJSRJKzAAUj83kBoqAlcqilYBt5RWLI+1tis4rdw1AYY4tW4ASUXUhk0no08QXfZr4Ii4tG78eu421R2/jbnoOMvOKZgUa+DhjVIdADGtbD751HCw9bCKqhUwWABw5cgShoaH44osvMGTIENjYcKqzutPXBaj4DID2s73OOgAmmAGQySQ42MqQk68sVw1AboECOYUzBnUc+PeMiKqfADdHvPxQY7zQNwy7ryTgt+O3setyPBRKgRsJmfjkz8uY//cV9G3ig5EdAvFAuG+FX6YQEZWXyZ6eFi1ahDVr1uDxxx+Hp6cnhg8fjjFjxqBPnz6mugWZmFwmlXjgL/4or93is3gRsEJdBFyJlC5HWzly8pXlqgG4X1gADHAGgIiqNxu5DP2a+aFfMz/E38/BplMx+O34HUTGZ0ChFPj3Ujz+vRQPbxc7PN62HkZ1CEQjP642TETmZbIAYPr06Zg+fTqioqKwevVqrFmzBkuXLoW/vz/69u0LSSr5sEmWpe/Po0RRsM4MgIF1ACq4EBigCgBSkF+uFCB1ATDAGgAiqjl8XR0wrVdDTO3ZAKdup2Ld8dvYeiYOGbkFSMzIw9L9UVi6PwptAt0xvF09PNyqLjycucgYEZmeyecbQ0NDMWvWLFy8eBHHjh3DmDFjsGfPHgghMH36dEybNg3btm1DTk6OqW9N5aT3zX2xTYbagCqEgFIdAFQisHMobAVargBAZwaAKUBEVLNIkoR2QR74eFgrHH3nQXw+sjU6hxa1Xz59OxXvbr6ATh/9i6dXHsf2c3HlbpVMRFQasz49tW/fHu3bt8eCBQuwa9cu/Pzzz/j111+xbNkyODk5ISMjw5y3pzLoS92XofgMgP4uQEqtGYCKtgEFijoB5ZQjBShNawaAbUCJqCZzsrPB8Pb1Mbx9fdxMysS643ew4eQdxKblIF8h8O+le/j30j24OthgSMsAPN62HjqGeOr8PCYiKq8qeX0qk8nw0EMP4aGHHsJ3332HzZs3Y82aNVVxayqFvv9Air/M13641+kCJKCZAajMf0TqAIApQERU2wV7OWPmgCZ4tV9jHIlKxqZTMdh+Lg73cwtwP6cAa4/dxtpjt1HP3RFD29bF423rI8zXxdLDJqIaqMrzJxwcHDB69GiMHj26qm9NxehL3SmxDoB2G1DtLkBKAYUwwQxAhVKAtAIAzgAQkZWRySR0beiFrg29MPex5th5KR4bT93BnisJKFAKxKRm49vd1/Ht7utoWc8NQ9vWw5CWAfB3Y0tRIjIOE6hrMZmeCpAS6wDI9NcAKIXQrANQmRkAB/UMQDlSgNKztWoAOANARFbMwVaOIa0CMKRVAJIycvHHuThsOBmD07dTAagWGjsXk4YP/riITiGeeLh1XQxu4Q8vF3vLDpyIqjUGALWYTJKAhg3Rb8q3mm0hvvWAjPSiY7RTgIp1AVKYsgagAjMAtnLVOgJERLWBl4s9JnUNwaSuIbiRkIFNp2Ox6VQMbiVnQQjgSFQyjkQlY86WC+jW0AuPtKqLAc394ebEFyVEpIsBQC0mkyTAwQHXfII124LsHAAUBQA2BoqAtRcCK946tDwqUwNQx8GWrWWJqFZq4OOCV/s1xisPNcKZO2nYdiYW287G4W56DhRKgf3XErH/WiLe2XQOvRv74OFWdfFQMz+42PO/fSJiAFAr/P5cN6w6HI3xXYIx8rvDmu36VvAtkQIkGSgCVha1ATVJDUAFugAx/5+IajtJktAm0B1tAt3x9uCmOH4zBdvOxmL7uTgkZuQVdhJSLTZmbyPDA+G+GNwyAH3DfRkMENVi/NdfC7QP9kD7YA+IwqJdNX1v7ksUAZeSAqRZCMwENQA5+Uqjz1GvA8AAgIioiEwmoVOoJzqFeuK9h5vhSFQytp6JxZ/n7yItOx+5BUr8ef4u/jx/F3Y2MvRq5IOBLfzRr6kf04SIahkGALVIyQ4/eo4p9rmhImCFEFAK07UBzVMoUaBQwkZedk5/UQoQ//oSEeljI5ehe5g3uod5Y95jLXAwMhFbz8Tin4v3kJFbgLwCpWaNAZvCrkODWgSgXzM/+LiygJjI2vEJqhaTyyQgPh4vH1it2RYT+KTOMbptQLVTgGCahcDsih74cwqUcDEmAMhhChARkbHsbGToG+6LvuG+yC1Q4GBkIv46fxc7Lt5DSlY+CrRqBmZtOocOIZ4Y1MIfA1v4I8DN0dLDJyIzYABQi8kkCUhIwMsHf9Fsm/fwUADOms91FgLTejYvUCqhzigyRREwoKoDMCYnVd0GlC1AiYjKx95GjgfC/fBAuB8KFEociUrGn+fj8PeFe0i4nwulAI5GJeNoVDLmbr2I1oHuGNTCH/2a+aGhDxcdI7IWDABqMZlMAorV3hZ/mDeUApSvKKonqMwMgINWAGBsK9CiGQD+9SUiqiidNKFHW+DkrRT8ef4u/jp/FzGp2QCAM7dTceZ2Kj758zIaeDujXzM/PNTMD+2CPCpV/0VElsUnqFrG3kaG3AJVwa3en93FthlKAcpXFBXtVqoGwE5rBsCIACAnX4G8wvFzBoCIyDRkMgkdQjzRIcQTs4Y0xbmYNPxVGAzcSMwEANxIzMT3+27g+3034Olsh75NfNGvmS96NvKBMzsKEdUo/BdbyzjZyTUBgNyILkCGZgDUD+GAaRYCA4xrBaouAAZYA0BEZA6SJKFVfXe0qu+O1wc0wfWEDOy4GI9/L93DyVspEAJIzszD7yfv4PeTd2BnI0P3hl54qJkfHmrqB786Dpb+EoioDAwAahlHWzlSoHqI1vfmvngJrtxAG9A8rRmAykwD6wQARswAqNN/AMCNAQARkVlJkoQwX1eE+briuT4NkZiRi12X4rHj0j3sv5aAnHwl8gqU2H0lAbuvJOCdjefRqr4bHgz3Q99wH7So61apWWIiMg8GALWMdsqN3nUAin1uMADQmgGoTBGwQzlTgNIKC4ABtgElIqpq3i72GNUxEKM6BiInX9VRSNVONB4J93MBAGfvpOHsnTR8+e9VeLvYoVdjH/Rt4otejXy43gBRNcEnqFrGya7oj1zvOgDFU4AkQ0XAWilActPMAOQYkwKUwxQgIqLqwMFWjgeb+uHBpn74UClwNiYNOy7exb8X43Hl3n0AQGJGHjacjMGGkzGQSUC7IA/0DfdFnyY+aBZQp8T/OURUNRgA1DLaMwDanXw0ihcBa+UEGSwCNlUbUGNSgLRrAFgETERULchkEtoEuqNNoDteHxCOmNRs7LkSjz1XEnAwMhFZeQooBXD8ZgqO30zB/L+vwNfVHn2aqGYHujfy5s90oirEAKCWcSyj7WbxWQEbrQhAbo4i4HKmAOkWAfOvLxFRdVTP3RHjOwdjfOdg5BYocCwqBXuuxGP3lXhcT1B1FYq/n4vfjt/Bb8fvwEYmoX2wB3o38UHPMB80r1uHtQNEZsQnqFrGSeuBOytPAch19xf/cas9A6D9+zyt2YPK/JB2KG8XoBztGgC+LSIiqu7sbeTo0cgbPRp5Y9bDzXA7OatoduB6InLylShQChyJSsaRqGR8hivwdLZDt4Ze6NnIGz0a+aCeO1ckJjIlBgC1TMcQT/x5/i4AwN/NAcjQ3V9iITAD6wCYow2oMQuBqWcA7G1kOsEDERHVDIGeTpjYNQQTu4YgJ1+BI1HJmoAgqnDNgeTMPGw7G4dtZ+MAAA18nNEzzBs9G/mgS0Mvo1aNJyLD+C+olpnUNRjRSZlwd7JD+2APIDIJV72CNPsVtnY6x+t0ATJQBFyZNqC2cglymQSFUpSrDSgLgImIaj4HWzl6N/ZB78Y+mP0IcDs5CwciE3HgWiIORCYirfClz42ETNxIyMTKwzdhI5PQNsgdPRv5oEcjb7Sq5wYbefEm1kRUmhr5LyY3Nxdvvvkm6tatC0dHR3Tu3Bk7duwo87w5c+ZAkqQSHw4O+hct+fHHH9G0aVM4ODigUaNG+Oabb0z9pVQ5G7kM8x5rgVf7NVZtCAtD/6cXaz6S6wbrHK+zEJgZ2oBKkqSZBcjOU5ZxNJBe2AaULUCJiKxPoKcTxnYKwrfj2+Hku/2w+fnueH1AE3QO9YRtYce5AqXAsegUfLHjKoYtPoS27+/AtJ+OY8XBKFy+mw6lUk+DCyLSUSOfoiZPnoz169fj5ZdfRqNGjRAREYHBgwdj9+7d6NGjR5nnL1myBC4uLprP5fKSqSTff/89nn32WQwfPhyvvvoq9u/fjxdffBFZWVl48803Tfr1VCfFn+WNmQGoTAoQoHoDlJFbwBkAIiLSkMsktA50R+tAdzzfNwyZuQU4GpWMfdcScOBaIq7Fq3JY7+cU4J+L9/DPxXsAAE9nO3Rt4IUuDb3QtYEXGvo4s90oUTE1LgA4evQo1q5di/nz52PmzJkAgEmTJqFFixZ44403cOjQoTKvMWLECHh7exvcn52djXfeeQdDhgzB+vXrAQBTp06FUqnE+++/j2nTpsHDw8M0X1A1U/xZXvvtvszASsCV7dTgaKeaiDKmBkA9HcwCYCKi2sXZ3gZ9w33RN9wXAHA3LQf7ryXgQGQiDl9PQnzhQmTJmXn441wc/jinqh/wdbVH18JgoGtDLwR5OjEgoFqvxgUA69evh1wux7Rp0zTbHBwc8NRTT+Htt9/G7du3ERgYWOo1hBBIT0+Hq6ur3h8Cu3fvRlJSEqZPn66z/fnnn8fq1avxxx9/YMKECab5gqqZEkXARqwEXNkZgKIUIOOLgDkDQERUu/m7OWBkh0CM7BAIIQRuJGbi8PUkHL6ehP9uJCEpMw+Aqt3o5tOx2Hw6FgBQ180BXRt6q4KChl7sMES1Uo0LAE6dOoXGjRujTp06Ots7deoEADh9+nSZAUCDBg2QkZEBZ2dnDB06FJ9//jn8/Px07gEAHTp00Dmvffv2kMlkOHXqlFUFAL9O64LP/r6CqT1Dcfh6ks4+3ZWAi7bnm3IGQB0AGJUCxBoAIiLSJUkSGvq4oKGPCyZ0CYZSKXAtPgOHrqtmB45EJWtmkGPTcvD7yTv4/eQdAEB9D0d0CvVEpxBPdAr1RKg3U4bI+tW4p6i4uDgEBASU2K7eFhsba/BcDw8PvPDCC+jatSvs7e2xf/9+fPvttzh69CiOHz+uCSri4uIgl8vh6+urc76dnR28vLxKvQcAxMfHIyEhQWdbZGSkUV9flYuMROfHHsPvALAIuPriAs0uSdJ9uJfp1AAUFVmZogYAKDsAEELgPmsAiIioDDKZhCb+rmji74onu4dCoRS4FJeumiG4kYSjUcnIyFW9ULqTko07KTHYcDIGAODtYo9OoR7oGOKJjiGeaBpQp1Ld7oiqoxoXAGRnZ8Pe3r7EdnUnn+zsbIPnvvTSSzqfDx8+HJ06dcL48eOxePFi/O9//9Ncw87OTt8l4ODgUOo9AGDx4sWYO3duqcdUG7m5wMWLmk9tCvKg/mshLyUdSKcNaCXflKhXAy6rBiC3QKkJPNgDmoiIjCWXSWhRzw0t6rlhaq8GKFAocS4mDYdvJOFYVDKO30zB/cIZ5sSMXGw/dxfbz6nWzHG1t0H7EFVA0DnUEy3ru8HehuvQUM1W456iHB0dkZubW2J7Tk6OZn95jBs3Dq+99hr+/fdfTQDg6OiIvLw8vcfn5OSUeY/p06dj5MiROtsiIyMxdOjQco3NEmTQX/QL6D7o5xaYIQWojBqA+1qrALsyBYiIiCrIRi5D2yAPtA3yAPoACqXA5bvpOBaVjGPRKTgSlYzEDNWzxv3cAuy5koA9V1Qz+/Y2MrQOdEfnUE90CPFEm0B3uHFWmmqYGvcUFRAQgJiYmBLb4+JU1f5169Yt9zUDAwORnJyscw+FQoH4+HidNKC8vDwkJSWVeQ9fX98S6UM1UfE3+zIDMwBVlQKknq4FOANARESmI5dJaF7XDc3rumFy91AIIRCdlIWjUUk4GpWCY9HJuJWcBUD1AuxoVDKORqmeGyQJaOTrgvbBHmgX5IF2wR5owDoCquZq3FNUmzZtsHv3bqSnp+sUAh85ckSzvzyEEIiOjkbbtm117gEAx48fx+DBgzXbjx8/DqVSWe571CQyraXh9D3Yq1ftzTPhDIA6AMjJL30hsAydGQC+bSEiIvOQJAmh3s4I9XbG6I5BAFRtR49GJ+NoVBKORaXgyr37AAAhgKv3MnD1XgZ+OXobAODhZKsJBtoFeaB1oBuc7GrcIxdZsRr3t3HEiBFYsGABfvjhB806ALm5uVixYgU6d+6s6QB069YtZGVlITw8XHNuQkICfHx8dK63ZMkSJCQkYODAgZptDzzwADw9PbFkyRKdAGDJkiVwcnLCkCFDzPklWpT2o7y+B3u5JEEBYdIZAEdb42oA7ufma37PGQAiIqpK/m4OeLR1XTzaWpUFkJqVh1O3UnHyVgpO3EzB6dupyCpMZU3JysfOy/HYeTkegOrlWbOAOmgX5I52wR5oH+yBeu6OnCUgi6lxT1GdO3fGyJEj8dZbbyE+Ph5hYWFYuXIloqOj8eOPP2qOmzRpEvbu3QshirrVBAcHY/To0WjZsiUcHBxw4MABrF27Fm3atMEzzzyjOc7R0RHvv/8+nn/+eYwcORIDBgzA/v378fPPP+PDDz+Ep6dnlX7NVUn7h5G+rgcyGQCFbheg4msHlJd6IbDsfAWEEAZ/ILIGgIiIqgt3JzudhckKFEpcuXcfJ2+qAoKTt1I1aUMKpcC5mDSci0nDysM3AQB+dezRNtADrQPd0SbQHS3ru/HlFlWZGvk37aeffsK7776LVatWISUlBa1atcK2bdvQq1evUs8bP348Dh06hN9//x05OTkIDg7GG2+8gXfeeQdOTk46x06fPh22trb4/PPPsWXLFgQGBuLLL78s0UnI2mg/e+t7sFfXBegsBCY3zQyAQimQrxCws9F/vQwGAEREVE3ZyGWaOoKJXUMAAPH3c3DyZipOFc4SnI1J0/z/eS89F39duIu/Lqi6DalrCVrXd9cEBU38XWErlxm6JVGF1cinKAcHB8yfPx/z5883eMyePXtKbFu6dGm57jN16lRMnTq1vMOr0bQfvfWl9qjTgvJM2AZUXQMAqGYB7Gz0/7BjETAREdUkvq4OGNjCHwNb+AMAcgsUuBCbjpM3U3DyVgpO30pFbJqqi6F2LcG6E6pFyuxtZGhRzw2t67ujTZA72tR3R6AnU4eo8vgURTpkZaQAqbdpzwBUdoEU9ToAgKoOwFA7NfUiYADgwhkAIiKqYext5Kri4CAPzbb49BycuZOGM7dTceZOKk7fTtWkvOYWKHGiMKUIB1XHezjZonWguyooCHRHi3pu8HEtuT4SUWn4FEU6dIuAS+5Xv+3XWQjMREXAQOlrAdwvnAGws5FxERYiIrIKvnUc0K+ZA/o18wMAKJUCUUmZqoDgtioguBiXrqm9S8nK11mXAFDVE7QsXOisZeGHbx0Hi3w9VDMwACAdOkXAeqYYZXpmACpdBFwsBcgQdQ2AK9N/iIjISslkEhr6uKChjwuGtasPQJU6dCnuvk5QcCMxU3POvfRc3EuPx7+X4jXbfF11g4IW9dzgV8ee6UMEgAEA+fgAs2drPs129wSgWtyktCLgAmVRF6DKFgE72BkXAKinRJn+Q0REtYm9jRxtCguD1dKy8nE+Nk3TXeh8TBpuJmVp9sffz9VpRQoA3i72aFmvTlFgUN8N/nUcGBTUQnySqu18fYE5czSf5u68BnUAoO/ngd66ABPOAOSUkgKkLgJmByAiIqrt3Jxs0T3MG93DvDXb0rLzcUEdEMSm43xMGqK0ZgoSM3Kx+0oCdmulD3m72KFpQB00q1sHzQJUH6HezrBh9yGrxicp0qFTA6A3BajkOSatATAiBYgdgIiI/t/evQdHXd/7H39trru5yS2BRMI9gBAlLULEUvEyirdWO4LaUTlWvFBQK4IwtjqUg1CQqUzHI60oAwr11/HQ2vFUW/UckcFqoZwjKohcRSgJBsIlwSSbkP38/kh2s9+9JBv2u8ku+3zM7DTfz/f7/Xy/++lH/bz3cwOCXeBK1+XD+uhyv6CgpqFJO4+0BAPenoIDlqCgUZv3Htfmvcd9aZlpKRrZL9cSGIwszOO/v+cR/p+Ehf/uvyF7AEINC7JxFaB2hwC5vQFA6FWCAACAVZ4zXROG9taEob19abUNTdrZ2kOw48hp7aqs1b5jZ9TcOrzXfdbTsjLRv05b8hrYO0ujCvNaAoPW4KDwAoYQJSICAIQVugcgBgFApKsAtS4DyhAgAADOXa4zXZcN6a3LhrQFBQ1NzdpXdUZfVNToi8qWz66KGt+Pb5L0dXWdvq6u0193HPWl9chK10X9WoKBkf1yNbJfnkr65lj2+EH8oSWV7BoapP37fYfpTf49AJGN9482APD/l0RDe0OAmAMAAEBMONNTVdo6OdjLGKN/naxvCQhaA4NdlTX618l63zWn6pr08YFqfXyg2peW4pAG9s7WiL65GtGv7TOwVxZzC+IELalkt3+/VFrqO7xgzdu+v0O160M19qNeBjSCIUDGGOYAAADQhRwOh4p7Zam4V5Ymj+7nSz9d36RdrcGANzDY+80ZNbbuEeQx0lfHv9VXx7/V33a29RZkpKWopCCnJSBoDQ5G9stjedJuQEsKFv7t+1D/LIZq7KdF2wOQ1vZrQH2jJ+Q1DU0e39KjLAMKAED3ucAVPISoqdmjr45/q91Ha1s+37T876ETbUuTNp71aGdFjXZW1ATlN6Jvrob3y9GIfi1DiYb3zdUFLub8xQotKVj4R+AORTbcJ9ohQGmpKcpITVFjsydsD0Ctu8n3d66TfyEAABBP0lNTNLxvS8P9B2Pa0r91n9XeqjPafbRGXx6t1Z7WwOD4mUbfNafrm7T14AltPXjCkmffvEyVFORqWEGOSvrmqKQgVyUFOeqZndFVX+u8RQCAsEK16wMnAac4Qs8V6CxneksAEG4OgHf4j8ROwAAAJIrszLSgTcyklj0J9hyt9QUF3v+t81sMpGWHY7c+3Hfccm+fnIyWoKAgVyV9c3x/98nJYChRhGhJwcJ/iE/oScABx1H++u/lykhVTcPZsKsA1foFAMwBAAAgsfXJyVSfYZmWPQs8HqMjp+p9wcDeb1qWJ91XdUYNTW1DhI+fadTxMyf0jwPWHoMLXOkqae0tGNbaW1A+pJcy01iRKBAtKVhYNwILPh/Y4LctAGhdCSjcEKAzfsuQsQoQAADnn5SUtknH147q60v3BgZ7q2q195sz2lvV8tn3Ta2+9fvh8HR9k7Z9fVLbvj7pS9u5cLL43TAYRQKLjnoAAicBh1oW9Fw4OwgALD0ABAAAACQN/8Dg6pFtgYExRpWnG1oCgm9qta81MNj7Ta1qGs7qwh4uZdP6D4lSgZVfez7kHICABn+ojcHOhXcp0LBzAPx7ANgJGACApOdwOFTUw6WiHi5NGp7vSzfG6NgZt47Vurvx7eIbAQAsHB3NAQho8Ee7BKiXbwhQ2DkAbasA0QMAAADCcTgcKsh1qiDX2d2vErfYjg0WHc0BCPzFv8vmADAJGAAAwBYEALBI6WgfgBitAuTMiGwScGZaijLSqLYAAADnipYUrPznAISoHUGrANk0CdjbA9AQZghQTWsPACsAAQAARIfWVLIbOlTascN3WHcyXdq+V1LwhN9QaamBXQLnKNJlQNkFGAAAIDoEAMnO6ZRGj/Ydmm2H2708Zj0AHQ0Bap0EzPh/AACA6DAECBbWScAhegBSYrMMqHcfgIYmjzweE3Te2wNAAAAAABAdAgBYWDcCCz4f+Iu/3cuASpL7rCfofC1zAAAAAGxBAAALh2UjsI73AQh1zblwpbdVxVDDgLwBAHsAAAAARIfWVLKrqpJWrvQdOr//I9/fkewEnGbXJOCMth6AUAGAbxIwQ4AAAACiQmsq2R07Ji1c6Dt0brjC93fonYADjm3qAXD6DQEK3A3YGMMqQAAAADZhCBAs/Df/CtW0D1oFKAZzABoCegDqm5rV3DoxmCFAAAAA0SEAQFgR7QNgVwDQzhCgM63j/yVWAQIAAIgWAQAsLJOAI9kJOAY9AIFDgGr8AgBWAQIAAIgOAQAsjN8S/KHmAMSqB8AyByCwB8BNAAAAAGAXAgBYGLVFAJHMAbBtGdCM8HMA/IcAZWcQAAAAAESDAABhhV4FKPYbgQUOAfq20S8AYA4AAABAVAgAYOHxGwMUyT4AMZkDENAD8K2bScAAAAB2IQCAhcfT9nfonYADj2O/CpB/AJCVmSoAAACcOwIAhBVqeH/gxl92BQCZaW1VsSFoCFDbMT0AAAAA0SEAgIX/ECBHiGnAKUHLgNpThRwOh28YULgeAIfDOlQIAAAAncfPqckuM1MaNcp32JyeIcktKfQcgKAeAHs6ACS1DAOqb2oOEQC0HGdnpIWcmAwAAIDIEQAku2HDpJ07fYc1Ww9JWz+XFGYn4MBlQG0aAiS1/bpf3+ixpHt7ALIZ/w8AABA1hgDBwn8jsEh2ArZrGVBJcqa3PDBwHwDvMqDsAQAAABA9AgBY+M8BCLUVWKwmAUttKwGFmwPAHgAAAADRIwCAheloH4CgScA29gCkeYcAhZ4DkJXBECAAAIBoEQDAwuM/BCjUHICApMAegWh4ewAazoYeAsQSoAAAANEjAEh2+/ZJo0f7PjmHv/KdCrkPQIyWAZUkZ3q4HgCGAAEAANglIQMAt9ut+fPnq6ioSC6XS+Xl5Xrvvfc6vO9Pf/qT7rjjDg0ZMkRZWVkaMWKE5syZo1OnTgVdO2jQIDkcjqDPjBkzYvCNupHbLX3xhe+T0tjoOxW6ByAwALDvVbyrAAVPAm5dBpRVgAAAAKKWkD+p3nvvvdqwYYMee+wxlZSUaO3atbrxxhu1ceNGTZw4Mex9Dz74oIqKinT33XdrwIAB+vzzz/Uf//Efevvtt/V///d/crlcluvLyso0Z84cS9rw4cNj8p3ihaeD84E9ADFZBjTcJGBWAQIAAIhawrWotm7dqj/84Q9avny55s6dK0maNm2aSktLNW/ePH300Udh792wYYOuvPJKS9rYsWP1b//2b/r973+v+++/33Luwgsv1N133237d4hn1knAHa8CZOcyoL5VgPyGAHk8RnWtx1kMAQIAAIhawg0B2rBhg1JTU/Xggw/60pxOp6ZPn66PP/5Yhw8fDntvYONfkn70ox9Jknbt2hXynsbGRn377bfRvXQCGT+ol+/vH4wpDDof+Iu/nePynb4hQG39EHV+vQE5DAECAACIWsIFAJ988omGDx+uvLw8S/r48eMlSdu3b+9UfkePHpUk9enTJ+jc+++/r6ysLOXk5GjQoEH6zW9+c24vnUAG9M7W/3vgMr1633h9Z0DPoPOBY/5zbQwAvEOAGps9OtvcEgR4h/9IUhZDgAAAAKKWcC2qyspKFRYG/zLtTauoqOhUfsuWLVNqaqqmTJliSb/kkks0ceJEjRgxQtXV1Vq7dq0ee+wxVVRUaNmyZe3mWVVVpWPHjlnS9u3b16n36k4ThvYOey5wWFCuM92257oy2qKLhrMe5aSmWAIAlgEFAACIXsK1qOrr65WZmRmU7nQ6fecj9dprr2n16tWaN2+eSkpKLOfefPNNy/FPfvIT3XDDDXruuef0yCOPqH///mHzXblypRYuXBjxeySSwEnAdjbKvT0AUss8gJzMNN8mYBIbgQEAANgh4YYAuVwuud3uoPSGhgbf+Uhs3rxZ06dP1+TJk7V48eIOr3c4HJo9e7bOnj2rDz74oN1rZ86cqR07dlg+f/7znyN6r3gXOAk4x2n/HACpbSlQ7yZgEj0AAAAAdki4FlVhYaGOHDkSlF5ZWSlJKioq6jCPTz/9VD/84Q9VWlqqDRs2KC0tsmIoLi6WJJ04caLd6woKClRQUBBRnokmcBKwrT0Afr/we5cC9R8CxEZgAAAA0Uu4HoCysjLt2bNHNTU1lvQtW7b4zrdn//79uv7661VQUKC3335bOTk5ET/7wIEDkqT8/PzOvfR5JLAHIM/OOQABQ4Cktk3AJDYCAwAAsEPCBQBTpkxRc3OzVq1a5Utzu91as2aNysvLfb/SHzp0SF9++aXl3qNHj+q6665TSkqK3nnnnbAN+RMnTqi52boZVVNTk5YuXaqMjAxdddVVNn+rxBE0B8DGIUCWAIAeAAAAgJhIuBZVeXm5pk6dqieffFJVVVUaNmyYXnnlFR08eFCrV6/2XTdt2jRt2rTJsrHV9ddfrwMHDmjevHn68MMP9eGHH/rO9e3bV9dee62klgnAzzzzjKZMmaLBgwfrxIkTeu2117Rjxw4tWbJE/fr167ovHGv5+dKCBdbjdgTvA2Dfr/LODoYAsQwoAABA9BKyRfXqq6/q6aef1rp163Ty5Eldcskl+stf/qIrrrii3fs+/fRTSdKzzz4bdG7SpEm+AODiiy/WqFGjtH79eh07dkwZGRkqKyvT66+/rqlTp9r/hbpTQYH0y19GfHngEKDMNPsCAP8egAbvECC/VYCyWQUIAAAgagkZADidTi1fvlzLly8Pe02olXr8ewPaM3bs2KBlQNEiJYaDxkIOAWpdBSgzLUVpgbuQAQAAoNNoUaFTAnsA7NTeKkAsAQoAAGAPAgB0SuAkYDs5Q60C1BoAMAEYAADAHrSqkl1Dg7R/f9vx0KFS667KoQROArZTe8uAsgswAACAPQgAkt3+/VJpadvxjh3S6NFhL/cfAmR3b0BGWorSUhw66zGqYwgQAABATDAECJ3i3+jPSrf/V3nvPICgHgACAAAAAFsQAKBTUvx6AFwxGJbjHQYUOAcgh12AAQAAbEEAgE7x7wGIxcRc71j/wCFAbAIGAABgDwIAdErjWY/vb1dMhgC1NPTrW9f/Zw4AAACAvQgA0Cl1rQ1zKTYr8/h6ABqbZYzxzQHIZggQAACALQgA0CmD+mT7/p56aX/b8/cPANxnPWr2mNZ0egAAAADsQKsKndI3z6k1945Txel6TR1bbHv+/pOAvcN/JIYAAQAA2IVWFTrtqpEFMcvb2wNQ39SsutbhP/7pAAAAiA5DgBBXXH5DgM7QAwAAAGA7AgDEFVd62ypA/kOA2AgMAADAHgQAiCv++wBYewAYAgQAAGAHflZNdkOHSjt2WI+7kXcIkDHSybpGX3osNh0DAABIRrSqkp3TKY0e3d1v4eM/2fdYrdv3dzbLgAIAANiCIUCIK/4BwPEz9AAAAADYjQAAccXl90v/cb8eAJYBBQAAsAcBAOKKdyMwSTp2piUASEtxKDONqgoAAGAHxlUku6oqaeXKtuOZM6WC2G301ZFQcwCyMlLlcDi665UAAADOKwQAye7YMWnhwrbjqVO7NQBwhZgDwCZgAAAA9mFcBeKKdRJwSw8AE4ABAADsQwCAuJKVHtzYZxdgAAAA+xAAIK64Qqz2wy7AAAAA9iEAQFwJtdxnFpuAAQAA2IYAAHHFmR6qB4AAAAAAwC4EAIgrqSHW/GcTMAAAAPsQACDuBDb46QEAAACwDwEA4k7gmH/mAAAAANiHAABxp2d2uuU4m1WAAAAAbEMAgLjTMyvDcswQIAAAAPvQskp2mZnSqFHW427WO9saALARGAAAgH1oWSW7YcOknTu7+y0semVbgxA2AgMAALAPQ4AQd3oFzAFgEjAAAIB9CAAQd4J7AAgAAAAA7EIAgLjTK3AOABuBAQAA2IYAAHEnMACgBwAAAMA+BADJbt8+afTots++fd39RkEBQDYBAAAAgG1oWSU7t1v64gvrcTcLDABc6QwBAgAAsAs9AIg7PVzWVYBSUhzd9CYAAADnHwIAxB0a/AAAALFDAAAAAAAkEQIAAAAAIIkkZADgdrs1f/58FRUVyeVyqby8XO+9915E9x45ckS33367evTooby8PN1yyy06cOBAyGtXr16tiy66SE6nUyUlJXr++eft/Bpox1M3XSRJ+tk1Jd38JgAAAOeXhFwF6N5779WGDRv02GOPqaSkRGvXrtWNN96ojRs3auLEiWHvO3PmjK666iqdPn1aP//5z5Wenq4VK1Zo0qRJ2r59u3r37u279sUXX9SMGTN022236fHHH9fmzZv16KOPqq6uTvPnz++Kr5nU7v/+EN0+rlh5zvSOLwYAAEDEEi4A2Lp1q/7whz9o+fLlmjt3riRp2rRpKi0t1bx58/TRRx+FvXflypXau3evtm7dqnHjxkmSbrjhBpWWlurXv/61lixZIkmqr6/XL37xC910003asGGDJOmBBx6Qx+PRokWL9OCDD6pnz54x/qag8Q8AAGC/hBsCtGHDBqWmpurBBx/0pTmdTk2fPl0ff/yxDh8+3O6948aN8zX+JWnkyJG65ppr9Prrr/vSNm7cqOrqas2cOdNy/6xZs/Ttt9/qrbfesvEbAQAAAF0n4QKATz75RMOHD1deXp4lffz48ZKk7du3h7zP4/Hos88+06WXXhp0bvz48dq/f79qa2t9z5AUdO3YsWOVkpLiOw8AAAAkmoQbAlRZWanCwsKgdG9aRUVFyPtOnDght9vd4b0jRoxQZWWlUlNTVVBQYLkuIyNDvXv3DvsMr6qqKh07dsyStm/fvnbvAQAAALpCwgUA9fX1yszMDEp3Op2+8+HukxTRvfX19crIyAiZj9PpDPsMr5UrV2rhwoXtXhM38vOlBQusxwAAADhvJVwA4HK55Ha7g9IbGhp858PdJymie10ulxobG0Pm09DQEPYZXjNnztTUqVMtafv27dOtt97a7n3doqBA+uUvu/stAAAA0EUSLgAoLCzUkSNHgtIrKyslSUVFRSHv69WrlzIzM33XtXdvYWGhmpubVVVVZRkG1NjYqOrq6rDP8CooKAgaPgQAAADEg4SbBFxWVqY9e/aopqbGkr5lyxbf+VBSUlJ08cUXa9u2bUHntmzZoiFDhig3N9eSR+C127Ztk8fjCfsMAAAAIN4lXAAwZcoUNTc3a9WqVb40t9utNWvWqLy8XMXFxZKkQ4cO6csvvwy695///KelYb979269//77liE7V199tXr16qXf/va3lvt/+9vfKisrSzfddFMsvhoAAAAQcwk3BKi8vFxTp07Vk08+qaqqKg0bNkyvvPKKDh48qNWrV/uumzZtmjZt2iRjjC9t5syZeumll3TTTTdp7ty5Sk9P13PPPae+fftqzpw5vutcLpcWLVqkWbNmaerUqZo8ebI2b96s9evXa/HixerVq1eXfmcAAADALgkXAEjSq6++qqefflrr1q3TyZMndckll+gvf/mLrrjiinbvy83N1QcffKDZs2frmWeekcfj0ZVXXqkVK1YoP2D1m5kzZyo9PV2//vWv9eabb6q4uFgrVqzQz372s1h+NQAAACCmHMb/J3LEzM6dO1VaWqodO3Zo9OjR3f06AAAAsFEitfUSbg4AAAAAgHNHAAAAAAAkEQIAAAAAIIkQAAAAAABJhAAAAAAASCIEAAAAAEASIQAAAAAAkggBAAAAAJBECAAAAACAJEIAAAAAACQRAgAAAAAgiRAAAAAAAEmEAAAAAABIImnd/QLJwu12S5L27dvXzW8CAAAAu3nbeN42XzwjAOgihw8fliTdeuut3fsiAAAAiJnDhw/ru9/9bne/RrscxhjT3S+RDE6dOqVNmzapuLhYmZmZMX3Wvn37dOutt+rPf/6zhg0bFtNnJTrKqnMor8hRVpGjrDqH8oocZRU5yqpzQpWX2+3W4cOHNWnSJPXo0aN7X7AD9AB0kR49euiWW27p0mcOGzZMo0eP7tJnJirKqnMor8hRVpGjrDqH8oocZRU5yqpzAssr3n/592ISMAAAAJBECAAAAACAJEIAAAAAACQRAoDzUH5+vhYsWKD8/PzufpW4R1l1DuUVOcoqcpRV51BekaOsIkdZdU6ilxerAAEAAABJhB4AAAAAIIkQAAAAAABJhAAAAAAASCIEAAAAAEASIQDoQm63W/Pnz1dRUZFcLpfKy8v13nvvRXTvkSNHdPvtt6tHjx7Ky8vTLbfcogMHDoS8dvXq1brooovkdDpVUlKi559/vsvytEuilpXD4Qj5Wbp0aeRf/hzEU3nt3r1bs2fP1uWXXy6n0ymHw6GDBw+Gff6bb76p7373u3I6nRowYIAWLFigs2fPRvTu5yJRy2rQoEEh69aMGTMi/u7nIp7K609/+pPuuOMODRkyRFlZWRoxYoTmzJmjU6dOhcwzmetWZ8qqO+pWPJXVG2+8ocmTJ6uoqEiZmZnq37+/pkyZoh07doTMs6vrlZS45ZXsdSvQtddeK4fDoYcffti2PM+ZQZe58847TVpampk7d6558cUXzYQJE0xaWprZvHlzu/fV1taakpISU1BQYJYtW2aee+45U1xcbPr372+OHz9uufZ3v/udkWRuu+02s2rVKnPPPfcYSWbp0qUxz9NOiVpWksy1115r1q1bZ/ns2LHDnoIJI57Ka82aNSYlJcWUlpaasrIyI8l89dVXIZ//9ttvG4fDYa666iqzatUq88gjj5iUlBQzY8aMqMqjPYlaVgMHDjRlZWVBdWvLli1RlUdH4qm8evfubS6++GLz9NNPm5deesk8+uijJiMjw4wcOdLU1dVZrk32utWZsuqOuhVPZbVw4UJzxx13mKVLl5qXX37ZPPPMM2bIkCHG5XKZ7du3W67tjnplTOKWV7LXLX9//OMfTXZ2tpFkZs2aFXS+q9taBABdZMuWLUaSWb58uS+tvr7eDB061EyYMKHde5ctW2Ykma1bt/rSdu3aZVJTU82TTz7pS6urqzO9e/c2N910k+X+u+66y2RnZ5sTJ07ENE+7JGpZGWPC/oMdS/FWXtXV1aampsYYY8zy5cvbbdSOGjXKjBkzxjQ1NfnSfvGLXxiHw2F27drV8ZfvpEQuq4EDBwblGWvxVl4bN24Mes4rr7xiJJmXXnrJkp7sdaszZdXVdSveyiqUo0ePmrS0NPPQQw9Z0ru6XhmT2OVF3Wp7h0GDBpl///d/D9lO6I62FgFAF3niiSdMamqqOX36tCV9yZIlRpI5dOhQ2HvHjRtnxo0bF5R+3XXXmaFDh/qO33rrLSPJvPXWW5brPvroIyPJrFu3LqZ52iVRy8qYtgCgrq7O1NfXt/9FbRJv5eWvvUbtzp07jSTzwgsvWNKPHDliJJlFixaFfe9zlahlZUzbf0jdbrc5c+ZM2Pe0UzyXl1dNTY2RZB5//HFfGnUrtFBlZUzX161EKCuPx2Py8vLMHXfc4UvrjnplTOKWlzHULa+FCxeaAQMGmLq6upABQHe0tZgD0EU++eQTDR8+XHl5eZb08ePHS5K2b98e8j6Px6PPPvtMl156adC58ePHa//+/aqtrfU9Q1LQtWPHjlVKSorvfCzytFOilpXX2rVrlZ2dLZfLpVGjRum1116L4Fufu3gqr86+d6g8i4qK1L9///O+bp2L999/X1lZWcrJydGgQYP0m9/85pzzikQilNfRo0clSX369LG8d6g8k71uhSorr66sW/FaVqdOndKxY8f0+eef6/7771dNTY2uueYay3uHyjOW9cr73EQsL69kr1uHDh3S0qVLtWzZMrlcrrDv3Zk87ZBme44IqbKyUoWFhUHp3rSKioqQ9504cUJut7vDe0eMGKHKykqlpqaqoKDAcl1GRoZ69+7te0Ys8rRTopaVJF1++eW6/fbbNXjwYFVUVOiFF17QXXfdpdOnT+unP/1ppEXQKfFUXp19b/9nBT7/fK9bnXXJJZdo4sSJGjFihKqrq7V27Vo99thjqqio0LJly84pz44kQnktW7ZMqampmjJliuW9/Z8V+PxkrVuhykrq+roVr2V12WWXaffu3ZKknJwcPfXUU5o+fbrlvf2fFfj8WNQr73MTsbwk6pYkzZkzR9/5znd05513tvveXd3WIgDoIvX19crMzAxKdzqdvvPh7pMU0b319fXKyMgImY/T6bRcZ3eedkrUspKkv//975Zr7rvvPo0dO1Y///nPde+994aN/qMRT+XV2fdu7/k1NTWdzjOSZyZiWUktK4/4+8lPfqIbbrhBzz33nB555BH179//nPJtT7yX12uvvabVq1dr3rx5Kikpifj5yVi3wpWV1PV1K17Las2aNaqpqdGBAwe0Zs0a1dfXq7m5WSkpKRE9Pxb1yvvcRCwvibq1ceNG/fGPf9SWLVs6fO+ubmsxBKiLuFwuud3uoPSGhgbf+XD3SYroXpfLpcbGxpD5NDQ0WK6zO087JWpZhZKRkaGHH35Yp06d0v/+7/+GvS4a8VRenX3v9p5/vtetaDkcDs2ePVtnz57VBx98YEuegeK5vDZv3qzp06dr8uTJWrx4caeen2x1q72yCiXWdStey2rChAmaPHmyfvrTn+qdd97R+vXr9eSTT0b8/FjUK+9zE7G8QkmmunX27Fk9+uijuueeezRu3LgO37ur21oEAF2ksLDQ133oz5tWVFQU8r5evXopMzMzonsLCwvV3Nysqqoqy3WNjY2qrq72XReLPO2UqGUVTnFxsaSWLsZYiKfy6ux7+z8r8Pnne92yQ7LWrU8//VQ//OEPVVpaqg0bNigtzdqZTd1q01FZhRPLuhWvZeWvZ8+euvrqq/X73//e8t7+zwp8fizqlfe5iVhe4SRL3Xr11Ve1e/duPfTQQzp48KDvI0m1tbU6ePCg6urqOpWnnQgAukhZWZn27NkT1EXo7RYqKysLeV9KSoouvvhibdu2Lejcli1bNGTIEOXm5lryCLx227Zt8ng8vvOxyNNOiVpW4Xg3EcnPz2/3unMVT+XV2fcOlWdFRYX+9a9/nfd1yw7JWLf279+v66+/XgUFBXr77beVk5MT8r1D5ZlsdSuSsgonlnUrHssqlPr6ep0+fdry3qHyjGW98j43EcsrnGSpW4cOHVJTU5O+973vafDgwb6P1BIcDB48WO+++26n8rSV7esKIaR//OMfQWvTNjQ0mGHDhpny8nJf2tdffx20lvDSpUuNJPPPf/7Tl/bll1+a1NRUM3/+fF9aXV2d6dWrl7n55pst9999990mKyvLVFdXxzRPuyRqWVVVVQV9l5qaGjN06FDTp08f43a7O1MMEYu38vLX0dKWI0eONGPGjDFnz571pT311FPG4XCYL774ouMv30mJWlbV1dWWMjLGmMbGRvO9733PZGRkmMrKyo6//DmIt/KqrKw0Q4YMMUVFRWHrlFey161Iy6o76la8ldU333wT9I5fffWVyc3NNd///vct6V1dr4xJ3PJK9rq1a9cu88YbbwR9JJkbb7zRvPHGG6aioqJTedqJAKALTZ061aSlpZknnnjCvPjii+byyy83aWlpZtOmTb5rJk2aZALjMm8jsqCgwDz77LNmxYoVpri42BQVFQU1Ol944QUjyUyZMsW89NJLZtq0aUaSWbx4cczztFMiltWCBQvMmDFjzFNPPWVWrVplFi5caAYOHGgcDodZv359DEqpTTyV16lTp8yiRYvMokWLzPXXX28kmTlz5phFixaZ559/3nLtf/3XfxmHw2Guvvpqs2rVKvPoo4+alJQU88ADD9hcQm0SsazWrFljhg4daubPn29+97vfmSVLlpjS0lIjySxZsiQGpdQmnsprzJgxRpKZN29e0M6i7777ruXaZK9bkZZVd9WteCqrgoIC8+Mf/9gsW7bMrFq1yjzxxBOmV69exul0mr///e+Wa7ujXhmTmOVF3QpNYTYM7eq2FgFAF6qvrzdz5841/fr1M5mZmWbcuHHmb3/7m+WaUJXSGGMOHz5spkyZYvLy8kxOTo65+eabzd69e0M+Z9WqVWbEiBEmIyPDDB061KxYscJ4PJ4uydMuiVhW7777rrn22mtNv379THp6uunRo4e57rrrzP/8z/9EURKRiafy+uqrr4ykkJ+BAwcG5fnGG2+YsrIyk5mZafr372+eeuop09jYeO6F0YFELKtt27aZH/zgB+bCCy80GRkZJicnx0ycONG8/vrr0RdIB+KpvMKVlSQzadKkoDyTuW5FWlbdVbfiqawWLFhgLr30UtOzZ0+TlpZmioqKzJ133mk+++yzkHl2db0yJjHLi7oVWrgAIJo8z4Wj9WUAAAAAJAEmAQMAAABJhAAAAAAASCIEAAAAAEASIQAAAAAAkggBAAAAAJBECAAAAACAJEIAAAAAACQRAgAAAAAgiRAAAAAAAEmEAAAAAABIIgQAAICo3HvvvXI4HHI4HCotLbU171tvvTVmeQNAskrr7hcAACS+Pn36aMWKFerRo4et+c6ePVtTpkzR4sWLbc0XAJIZAQAAIGrZ2dm6++67bc930qRJkqSXX35Zx48ftz1/AEhGDAECAAAAkggBAABABw8e9I21D/U5Vw6HQw8//LD+8z//U6NGjZLL5dKECRP0+eefS5JefPFFDRs2TE6nU1deeaUOHjxo0zcCAITDECAAgPLz87Vu3TpLWlNTk2bPnq2MjIyo8t68ebPefPNNzZo1S5L0q1/9SjfffLPmzZunlStXaubMmTp58qSeffZZ3XfffXr//fejeh4AoH0EAACAkGP4Z82apTNnzui9996LKu/du3fryy+/1KBBgyRJPXv21EMPPaRnnnlGe/bsUW5uriSpublZv/rVr3Tw4EHftQAA+zEECAAQ5NVXX9XKlSv17LPP6qqrrooqr2uuucbSoC8vL5ck3Xbbbb7Gv3/6gQMHonoeAKB9BAAAAIvt27drxowZ+vGPf6zHH3886vwGDBhgOb7gggskScXFxSHTT548GfUzAQDhEQAAAHxOnjyp2267TcOHD9fLL79sS56pqamdSjfG2PJcAEBozAEAAEiSPB6P7rrrLp06dUr//d//raysrO5+JQBADBAAAAAkSQsXLtQ777yjv/71rxo8eHB3vw4AIEYIAAAA+vzzz7Vo0SJdccUVqqqq0vr16y3nY7HLLwCgexAAAABUXV0tY4w2bdqkTZs2BZ0nAACA8wcBAABAV155ZVSTbz0ej44fP660tDT16NHDlx4qz0GDBoVMD/UOtbW1crvdampqOud3AwBYsQoQACBqhw8fVn5+viZOnGhrvvfcc4/y8/P10Ucf2ZovACQzh2G9NQBAFL744gtVVFRIknJycnTZZZfZlvdnn32mqqqqmOQNAMmKAAAAAABIIgwBAgAAAJIIAQAAAACQRAgAAAAAgCRCAAAAAAAkEQIAAAAAIIkQAAAAAABJhAAAAAAASCIEAAAAAEASIQAAAAAAkggBAAAAAJBECAAAAACAJEIAAAAAACQRAgAAAAAgiRAAAAAAAEmEAAAAAABIIgQAAAAAQBIhAAAAAACSCAEAAAAAkET+PyR3re3+R5LXAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "###Propagate field *10and calculate in plane YZ, using npix bins in Y\n",
    "zdist=100*radius\n",
    "zmin = wavelength*10\n",
    "zmax = 1.2* zdist\n",
    "nzs = 500\n",
    "\n",
    "focal_length = 3.5e-4\n",
    "\n",
    "\n",
    "# Creates a screen in YZ plane with [-aperture_height/2, aperture_height/2] and [zmin, zmax] and \n",
    "ymin, ymax = -aperture_height/2, aperture_height/2\n",
    "xmin, xmax = -aperture_width/2, aperture_width/2\n",
    "\n",
    "x = np.linspace(xmin, xmax, x_pixel)\n",
    "y = np.linspace(ymin, ymax, y_pixel)\n",
    "z = np.linspace(zmin, zmax, nzs)\n",
    "\n",
    "# Calculates a field to use with the calculated mask\n",
    "\n",
    "# Initialize a Field from the Aperture mask \n",
    "field = moe.field.create_empty_field_from_aperture(mask)\n",
    "\n",
    "# Generate a uniform field\n",
    "field = moe.field.generate_uniform_field(field, E0=1e5)\n",
    "\n",
    "# Or Gaussian field is also available \n",
    "#field = moe.field.generate_gaussian_field(field, E0=1, w0=100*micro)\n",
    "\n",
    "# Modulates the field with a given aperture that can be used either as an amplitude mask or a phase mask\n",
    "field = moe.field.modulate_field(field, amplitude_mask=mask, phase_mask=mask_phase)\n",
    "\n",
    "###Propagate field *10and calculate in plane YZ, using npix bins in Y\n",
    "zdist=100*radius\n",
    "zmin = wavelength*10\n",
    "zmax = 1.2* zdist\n",
    "nzs = 500\n",
    "\n",
    "focal_length = 4.5e-4\n",
    "\n",
    "\n",
    "# Creates a screen in YZ plane with [-aperture_height/2, aperture_height/2] and [zmin, zmax] and \n",
    "ymin, ymax = -aperture_height/2, aperture_height/2\n",
    "xmin, xmax = -aperture_width/2, aperture_width/2\n",
    "\n",
    "x = np.linspace(xmin, xmax, x_pixel)\n",
    "y = np.linspace(ymin, ymax, y_pixel)\n",
    "z = np.linspace(zmin, zmax, nzs)\n",
    "\n",
    "# Calculates a field to use with the calculated mask\n",
    "\n",
    "# Initialize a Field from the Aperture mask \n",
    "field = moe.field.create_empty_field_from_aperture(mask)\n",
    "\n",
    "# Generate a uniform field\n",
    "field = moe.field.generate_uniform_field(field, E0=1e5)\n",
    "\n",
    "# Or Gaussian field is also available \n",
    "#field = moe.field.generate_gaussian_field(field, E0=1, w0=100*micro)\n",
    "\n",
    "# Modulates the field with a given aperture that can be used either as an amplitude mask or a phase mask\n",
    "field = moe.field.modulate_field(field, amplitude_mask=mask, phase_mask=mask_phase)\n",
    "\n",
    "# Plots the field (amplitude and phase)\n",
    "moe.plotting.plot_field(field)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "\n",
    "screen = moe.field.Screen(x,y,z)\n",
    "\n",
    "# Propagate the field \n",
    "EXYZ = moe.propagate.Bluestein(field, screen, wavelength)\n",
    "\n",
    "Eyz = moe.field.Screen(0,y,z)\n",
    "Eyz.screen = np.reshape(EXYZ.screen[:,int(y_pixel/2), :], np.shape(Eyz.screen[:, :, :]))\n",
    "\n",
    "moe.plotting.plot_screen_YZ(Eyz, which='amplitude')\n",
    "\n",
    "limitx = moe.propagate.Fresnel_criterion(wavelength,radius)\n",
    "plt.vlines(limitx, -radius, radius, colors='red', linestyles='dashed', lw=2)\n",
    "\n",
    "plt.title(\"Valid for z > \"+str(limitx))\n",
    "\n",
    "plt.show()\n",
    "\n",
    "Exy = moe.field.Screen(x,y,[focal_length])\n",
    "Exy.screen = np.reshape(EXYZ.screen[:,:, int(focal_length/zmax*nzs)], np.shape(Exy.screen[:, :, :]))\n",
    "\n",
    "moe.plotting.plot_screen_XY(Exy, which='amplitude')\n",
    "\n",
    "Ezz = moe.field.Screen(0,0,z)\n",
    "Ezz.screen = np.reshape(EXYZ.screen[int(x_pixel/2),int(y_pixel/2),:], np.shape(Ezz.screen[:, :, :]))\n",
    "\n",
    "moe.plotting.plot_screen_ZZ(Ezz, which='amplitude')\n",
    "\n",
    "limitx = moe.propagate.Fresnel_criterion(wavelength,radius)\n",
    "plt.vlines(limitx, 0, np.max(Ezz.screen), colors='red', linestyles='dashed', lw=2)\n",
    "\n",
    "plt.title(\"Valid for z > \"+str(limitx))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:27:12.595625Z",
     "start_time": "2025-10-09T15:26:50.007906Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:33.147819Z",
     "iopub.status.busy": "2026-03-24T18:49:33.147819Z",
     "iopub.status.idle": "2026-03-24T18:49:33.397620Z",
     "shell.execute_reply": "2026-03-24T18:49:33.396629Z",
     "shell.execute_reply.started": "2026-03-24T18:49:33.147819Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1920b3723d0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3up+MK664gvDwcD788EPWr19fYt+kSZPK/BxF+vTpQ5s2bZgxYwaffvopbdu2Pe76AJWtWbNmbN++vcTPwTRNnnzySTZt2lTq+aNGjSIsLIw333yTX375pdT+AwcOlPg+KiqK/fv3n3SeRo0acemll7Jnz55S40BWrVrFRx99RJ06dbjyyitP+jVFxHuoBUhETtnxVgIeMmQIcXFxp/zaH3zwAb169WLcuHHMmzePXr16YZom27dv54cffmDLli2l5nCviFtuuYWlS5cya9YsWrduzRVXXEHdunU5dOgQP//8MzfddNNxP5+vry+fffYZ/fr1Y+DAgXTr1o24uDiCgoLYv38/v//+O7t27SI+Pp6goCAAnn32WX766Sdee+01Vq9eXbwOwOzZs7nsssv48ssvTzr/TTfdxB9//MGUKVNo2bIl/fr1o0mTJqSkpLB7925++eUXbrzxRt56661T/hn16dOH559/nkcffZTWrVtz2WWX0bx5czIzM9m7dy9Lliyhe/fufPfddyf1emFhYfzvf//jhhtuoFu3biXWAVi/fj09e/ZkyZIlZQ78NgyD22+/nfvvvx9wjwuoTv/5z3+4/fbbOeecc7j66qvx9fXl119/ZdOmTVx++eV89dVXJZ4fHR3NRx99xNChQ+nduzcDBgygY8eOpKen8+eff7J//352795d/Pw+ffrwySefcPnll3Puuefi6+tLjx496NGjR7mZ3nrrLS688EIeeughfvjhB84///zidQBsNhvTpk0jNDS0yn4mIlJzqQAQkVN2vMGhzZo1O60CoHnz5qxZs4YXX3yR+fPnM3ny5OKVeh944IHiBZpOlWEYzJw5k379+jF16lQ+/fRT8vLyiI2N5aKLLjqpvv6OHTuyfv16XnnlFb7++mumTZuGzWYjNjaWc845h4kTJ5ZYVCk6Oppff/2VcePG8dVXX7F69Wratm3Lm2++SbNmzSpUAAD873//Y8CAAbz11lv8+OOPHD16lMjISJo0acJDDz3EiBEjKvxz+aexY8dy4YUX8sYbb7Bs2TK++OILwsPDadiwIWPGjCkelHuyrr/+eiIjI3n66aeZPXs2/v7+9OjRgxUrVvDggw8ClDlLEcDo0aN58MEH8fPzK7VgWVW77bbb8Pf357XXXmPGjBkEBgZy0UUXMW3aNObNm1eqAAAYOHAgq1ev5oUXXuCnn37ihx9+oE6dOrRr145HH320xHNff/11DMPgp59+YsGCBbhcLiZMmHDcAqBFixasXr2aSZMmsWDBAhYvXkxYWBj9+/fnscceo1OnTpX+cxCR2sEwKzqPn4iISCVzOp20aNGC/Pz8ctuvFi9eTO/evRkxYgSzZs2q5oQiIrWHxgCIiEi1OXr0aPG4iCKmaTJp0iT27dt33J71F198EYC77rqrSjOKiNR2ugMgIiLV5rvvvmPYsGH07duXZs2akZmZycqVK1m3bh2NGzdm9erVJdq7/vrrL77++mv++OMP5s2bx6BBg8pstxERkZOnAkBERKrN7t27GT9+PL/++iuJiYk4HA4aNWrEoEGDGDduXKnFwKZPn86NN95IWFgY/fr1Y8qUKSXGVYiISMWpABARERER8SIaAyAiIiIi4kVUAIiIiIiIeBEVACIiIiIiXkQFgIiIiIiIF9FKwBY6evQoS5YsoXHjxvj7+1sdR0RERKRGycvLY//+/fTs2ZOIiAir49QYKgAstGTJEoYMGWJ1DBEREZEabf78+VxxxRVWx6gxVABYqHHjxoD7l7ZVq1YWpxERERGpWXbs2MGQIUOKz6nk5KgAsFBR20+rVq1o3769xWlEREREaia1UleMBgGLiIiIiHgRFQAiIiIiIl5EBYCIiIiIiBdRASAiIiIi4kVUAIiIiIiIeBEVACIiIiIiXkQFgIiIiIiIF1EBICIiIiLiRVQAiIiIiIh4ERUAIiIiIiJeRAWAiIiIiIgX8boCIDMzkwkTJtC/f38iIyMxDIPp06ef9PFHjx5lzJgx1K1bl+DgYHr37s2aNWuqLrCIiIiISCXyugIgKSmJp556is2bN3P22WdX6FiXy8XAgQP56KOPuOuuu3jxxRc5cuQIvXr1Yvv27VWUWERERESk8vhYHaC6xcbGEh8fT/369Vm9ejWdOnU66WPnzp3L8uXLmTNnDkOHDgXg2muvpU2bNkyYMIGPPvqoqmKLiIiIiFQKr7sD4O/vT/369U/p2Llz51KvXj2uuuqq4m1169bl2muv5YsvviAvL6+yYoqIiIiIVAmvKwBOx9q1azn33HOx2Ur+2Dp37kx2djbbtm2zKJmIiIiIyMnxuhag0xEfH0+PHj1KbY+NjQXg0KFDnHXWWWUee+TIERITE0ts27FjR+WHFBERj2C6XOTmpZGVeZjMrCNkZifS2B5EuMsJeZmQn8l3KX+xI+cI2Y4ccpy5mKYJgMN0keHMIcOZx8VOH0YU+ILpApeTz+15vOvnwAk4MXEBTsA03H+6gNYFDmYkpruPMV1s9fVheP3IE2ZedCCRsMIMAD0bRpNpO/61wpeT0uid8/cd8Pujw1kS6H/cY67LyObBo5nF338YEsgrdUKPe0ybfAcfJ6QUf6/PVAM+08D/wrk3HPf5Yg0VABWQk5ODv3/p/1kCAgKK95dnypQpTJw4scqyiYhI1SvIyyQ5ZTtJqTtobwvByDoCmUcwMxN4OHUVRxzZJLvyOWqYZBngMIwSx08+fISeObnF338TE83i4KDy39CAtlmJkHK0eFNmWCj7Auv8/YQyZGJCQVbx96bdRb5R9nNLcOWB6+8TywKMEx7nchWA8+8TS4d54vdyms4Sx7hMvxMeU4BZ4hh9phrwmUzncZ8r1lEBUAGBgYFl9vnn5uYW7y/PnXfeyTXXXFNi244dOxgyZEilZhQRkQoyTchOhvSDkHmE1KO7+ezwcpJyUkjOTyPZkUWSK58kw0W67e+Tn2V7DxDucgHu0/DfmjQkxW4He9GW0jL+cZU2yDQxTJNAEwLNwkMLjw417IQZPjSNaAXR0WDYwWanuZnJAGcqPtiwGTbshuH+ExuGYWA37MSEBEDToWDYwDCIdOZyU9bOE/4o/Lpe4X6fQiPSN5GH67jHNK17CfiGFX9/SfZemjsyjnvMOZFRcEZs8fft85K4Ke/wcY+pGxYAzVsVfx/pzNFnKuSxn6le2V0RYj0VABVQNIPQPxVta9CgQbnHxsTEEBMTU2XZRESkfGlH97D7wHL2JKxnX9ouEnNTSXZkkujMIaAgn1mHDhU/N9vHzmuNG/59sEGZJ/VJdltxAYB/OB1dPmTY/IjyCaSOTwghvsGE+IUQ4htKiH84IYF1OLNrWwhrAv4h4BfCJB9/nvcNwbDbOVndC78qIgb4TwWPAbjzFI4ZfArHnFv4VRH6TH/z5M8knkkFQAXExcWxdOlSXC5XiYHAq1atIigoiDZt2liYTkTEe2VmxJOUvA0zN5XmTiBlJyTvZHHKBp4wUki1ldO2YINAXxsmf5/eRzndJ/WBLpNo0yDK5ku0PYgov1Ci/COJCoohOiSWmJ5dIbwphMSAbyD/dwq5fU/hGBGR06UCoBzx8fGkpaXRsmVLfH3df0UPHTqUuXPn8tlnnxWvA5CUlMScOXO4/PLLyxwfICIilSMrI57d+5exO2Edu1O3sTsrngOODA7iJKPwBP/c3FxmxB8pPibM35/UBvVKvI7dNIlyQZThQ5QtgIZBkeRdOoaAOs0gpD4BIXVZ5RdCUIju2opI7eSVBcDkyZM5evQohwpv+X711VccOHAAgLvvvpvw8HAeffRRZsyYwe7du2nWrBngLgC6du3KjTfeyKZNm4iOjmbKlCk4nU4N8BURqQRORz4HD/3GnvjfqZOVyllZ6ZC8A5K286E9m/+LjCh5gA2Obc1JtR3TShMcQ4uo5lzlZ9I0pDFNo9rSPLYTjRt0wdc/+Lg5jjMsV0SkxvPKAuDll19m7969xd9/9tlnfPbZZwCMGDGC8PDwMo+z2+0sWLCAhx56iDfeeIOcnBw6derE9OnTadu2bbVkFxGpbRKPbGTN1s9Ysm8RS/OPcLTwav7gjEzOSvp7isTmQX9PtGAzTRq5DBrbg2jkH0lscH1iQhpQL7QRDOoGdZpBQDgRgC7PiIiUZJjmMRPJSrXauHEjHTp0YMOGDbRv397qOCIiVc80IXELS/6cztxDS9noSCfRXnZ/fsfcPD5MyYXoVhDViqQ6jVjr60Pz2PNp0ugC/PyPPx+5iNR+Opc6NV55B0BERKqH05HPL7+/QcGhtfRNS4HEzZCTysHQEBZHR8IxJ/+BLpNuPuF0izmflvXPpVnDrhDVBgrnHY8GLrXoc4iI1CYqAEREpNIlHtnIgt9f5+OEFRy0Q9ecHPoe/ns19K65ucQ4Tc71i+TMiNa0b3gBZ59xDf4BZbdgiohI5VEBICIileLgwd/49o//8XPyn/xlc7g3Fo7JPeDrBw3Ph5h2UP9smjfvyY/RrTH+sTCWiIhUPRUAIiJy6kyT1SteYfK2j/nDKFwp/Zhz+mZOGN6gJ1d0f8I9X36hcmblFxGRaqACQERETk3yTvj6PurtX86GhvXBcJ/5t3Aa9A5vQ6+2V9HxjGux2fVPjUhF5TmcZOU5ycx1kJFXQFaek6x8B9l5TrLzHWTnu7/PzXeS63CRW+As/HKR53BS4DQpcLrId7gocLoocJo4XCYul4nD5cJlgtNl4nS554JxmSamCSYmrmOmhznxVDFFx4FpmoV/uh9PuLw9V5/XqIp+QnI69LeyiIhUSEFBNrYV/8P+y8vgyKUx8ECmg4P1z+Dys2+hbZtBVkcUsUy+w0VWnoPMY79yHWQU/ZlbQEaue3t64eNjt2Xkup+XX7gidU1WGz5DbaUCQERETtr6DZ/w5O/PcXVqMiMcue6N59/EdX0mQGCEpdmkZnG5TPIcLrLzHeQUOMnJd5JT4KTA6SLP4b5iXeBwke90FV+5drpMnKb7savwanXR1efjXao+9qr0sd8XXfV2mu7XNk33VXKH06TA5aLA4b5aXuA0yXM4ySu8ul50lT2nwEl2vrP4qrw7f/XPru7vYyPA106Ar/tPfx8bfj42fO3uLz+7DR+7gY/Nho/NwG4zsNkMfGwGhgE2w8CAvx8bcGyjnnGCnr2iYw2Mwj/BMAza1Aupug8tp0UFgIiInJDL6eDtr0bx5tH1mDaDN+qE08e/PrGD/g+aXmB1PLGIy2WSnltAclY+KVn5pGblczS7gKM5+aRmF3A0u4C0nPzCq9zuK91FV7mz851Wx7eMzYAQfx9CA3wJDfAp/PIt3OZDSIAPYQG+BPvZCSncHuLvQ5C/nWA/H4L87IVfPgT42jBOdIYu8g8qAERE5Liys5MYP+9KFrqOgmHga5rcHHkO0cPfAn9d4atNTNMkPcdBclYeKVn5JGW6T+yTM/NIzsonKTOP5Mz84v2p2QXFPeS1ic2g+Oq5r93Ax24rvsr+zz+PPRkP9LMT5GsnJMCn+KQ9JMCHYH8fQgtP+EMCfAj2s+ukXSylAkBERMq1Z88SHlx0D1tt7l7eJk54vecrtGrZ1+JkUhaXyyxuS8kt/LOov/zvfnMHaTkFHM3OJzXbfRKfll1Aarb7ZN9RSSf0PjaDiCBfwgJ9CTv2Sre/b/FJcWDhCXSgr51APzsBvnb8fNwtK34+Bn52Oz52A1+7gc0obF055s+idhOOaT8pT1FbStFTDMP9vfu13K0vRa9tt+nkXGo3FQAiIlKK6XLxxaJHeXbfN+QUngx1JZCXr/qU8Ihm1oarZrkFTo4WniCnZrvbWbLyHGTlO8nKc5Cd525nySucbSXf4SKv8E9XYc+6u7/cPeuK65hedbPUA3dfe/Hjwv70op73ouMdrpIzvOQ73H3zeY6qG3QZ6u9DVIgfUSH+RAb7ER3iR2SwH3WC/IgK8SMy2J/IID8ignyJCHK3regqt4hnUgEgIiIlOfJYOG84j+duc/dCADcGt+KeKz7GxzfA4nCVJ7fAyaGjORw8msPhtFyOZOSRkJ5b+JVHYkYeqdn5tbJX3dduEBHkR0SgL3UKT9rrBPkRGeJHVLD7xD4y2I+oYP/ibQG+dqtji0glUQEgIiJ/y02DT67nkj1LGVQ3ihWBQTx71h106/Rvq5NVmNNlEp+Ww77kbPalZLM3xf3nwdQcDqTmkJSZVynvYxgQVNS6UjjzSlEbi09h64rtmFaTY9tQio4HdwvLP7cB/2h7cR/vV9ibfuxML/4+NgIL22mCCttpgvzcPeihAT6EFQ40DQvw1cBRES+nAkBERABwHt2L/ePhkLABG/CUfwsyrphCZFQbq6OVK7fAyf6UbPYmF57gJ2exp/CE/0BqdoWnZAwL8KFeWAD1wgKICfWnTrAfdYJ8iQhyt7rUKexpD/b3IdjfToi/DwE+dmzqGReRGkQFgIiIlysoyOaj7+/hs8O/8vGReIIA2g7Ed+h7RPoGWpotI7eAw2m5HErL5XBaDgdTc9iXks3+wj8TM07+Kr7dZtAgIoDGdYJoGBFIwzqBNIwIpFGdIGLD3Sf9gX5qcxGR2k8FgIiIFzscv5Y7vhvNDpsLfH14KyKc+1sNhf4vgL1y/okwTbN4IaWsPCeZeQWk5xatiuqekaZomsnEzDySM/NIyswnIS2XjDxHhd4r2M9Ok6hgmkYG0TQqiCZRQTSNDKZJZBANIgLwsdsq5TOJiNRkKgBERGop0zRJyyngcHouh9NyOZpdQHpuAek5hdNCZuewO/Vmdvi5Z45pVGCywz6cwbsH4pi8onC1VLN4tVRXGSutHrui6rEz3ThcJvkO98w4+U7X8RZprRDDgNiwABpFBtG4ThCNIwNpXCeIZtFBNIkMJjrET73tIiInoAJARKQGczhdHEjNYVdSJjuPZLEzMZM9yVkcTsvlcHouuQXlTwvZPeodNsa4r7B3TA/i90MPsdkMBNKqKX1JoQE+RIf4ExXsnlayflgA9cMDaRARQP2wABpEBFIvLAA/H13FFxE5HSoARERqiNwCJ1sOZ/DXgaP8eSCNvw6msSsxi3xnxed+bxW4kS3ROwCD+gUm+TzO2U0ji2eV8bEZGEbhrDMY2GyFs9SUcXHdZhjYixZSKpypxm5zz0pT9OXnY8Pfx06w/9+z0hStjBoW6ENksB/+Puq/FxGpDioAREQ8VHxaDr/vSeX33Sn8sTeVbQkZJ1ylNTzQl+bRwTSsE+i+gh4WQL1w959RIX6EB/piOBK56/PxJNgMDNPk+U4Pcd7Zg6rpU4mIiNVUAIiIeIj9Kdks35nEql0p/LYnhQOpOeU+NyzAh7MahXNG/TBaxYTQom4ILesGExl8gh74lF3c/flVbPBxL241MrgV5509qrI/ioiIeDAVACIiFklIz2XFzmSW70xi+c7kck/4/XxsxDWO4JzGEXRoGE7HRuE0iQyq+GDXPctg9gjuc2Twe4P6nGcP4+7LZ1TCJxERkZpEBYCISDVJzcpn5a5klhee9O9MzCrzeWEBPpzfLJJOzSLp3LwOHRqGn35//O6l8OE14MihJfBBvUtp3vdF7D5+p/e6IiJS46gAEBGpIsmZee4e/j0prNyVzKb49DKnwwz2s9O5eSTdWkZzQcsozowNq9SVZdesn0n2wsfp7sgBww5XTKZV3PBKe30REalZVACIiFQCp8tkd1Im6/ensXpvCqt2p7CrnCv8fj42zmtSh24to+jWKpqOjcLxraIFqjZunseda14kPzqUV1z59Brwf3DW0Cp5LxERqRlUAIiIVFB2voM9SdlsTUjnrwPpbDiYxoZDaWTnO8t8vo/N4KxG4XRrGcWFLaM5t2kdAnyrfsrL9LT93L/iSbLs7tl+0s+/USf/IiKiAkBE5FimaXI0u4DEzDySMvJIzMwjIT2XvcnZ7E7KYndSFvFpucd9jUBfO+c2jXD38DeLJK5JBEF+1fvXrely8fRX13OosM54oG43Bl/8bLVmEBERz6QCQEQ8msPpIjkrn+TMfJKz8kjJyicpM5+07HzyHC7ynS7yHe6vAqcLp+k+iQcobrc33S06LrPoy/19boGTnAIn2flOcvKdZOc7yMxzUOA8/lz7x/Kz22gXG0qHhuGcVfjVtn5olbX0nKz5ix7hO2cqAD2MEEYOeMvSPCIi4jlUAIiIRzBNkwOpOWw9nMHWhAy2JWSw9XDGKa90W9lC/X1oUTeY5tHBNI8OoXndYFrWDaZ1TCh+Ptae7P/TXxvn8Ny+BWAziHaaPD1kFobNszKKiIh1VACIiGUy8xz8uiOJJdsSWbI1kYNHy1/46p8Mw3313c/HVvynr92GT9HsOSX/wG4zsBnuL/dj8PexE+RvJ8jPTqCvD0F+dkICfIgO8aduqD91Q/ypG+pHdIi/ewXdis67b4E/1s/g32teIqdwld9nz76LyMhWVscSEREPogJARKpValY+n609yI+bEli9N6Xcdpt6Yf60qRdK23qhNI0KIirEn6hgP6JC/IgKdp+QV+ZUmbXCrsV8svwZsoL8MUyTJxr25YLzbrc6lYiIeBgVACJS5UzTZPXeVD5atY9v/oon31GypcfPx0aX5pH0bFOXjo0iaFMvhIggLVBVIQkb4ePrmOTIJiMmhoHtruXy3s9YnUpERDyQCgARqTJZeQ7m/nGAD1ftZVtCZol9jSMDubhtDL3axtClRWS1z5JTq+SkwifDoSAbfwze7P48xllXW51KREQ8lP7FFZFKl1vg5IOVe3lz8U6Ss/KLt/vaDfq1r8/1XZrStUVkjeip93RORz4/zBlG/9Q97vEOfR7Xyb+IiByXCgARqTQFThefrt7P//20g8Ppf8+V3zgykOGdm3LN+Y2IDvG3MGHt8/ZXo3jTjGdhTDSTIjsT1P1+qyOJiIiHUwEgIqfNNE2+XH+I//6wjX0p2cXbW0QH859L2zDwrFgN2K0CW7d/wztpf4FhsDMgGHPQq+7pkURERI5DBYCInJZtCRmMn7+B33anFG9rGBHIvZe05qpzGuJj8YJYtZXTkc+Ty8bjsBnYTZMXLnyG4JD6VscSEZEaQAWAiJyS7HwHb/y0g3eX7sLhck/lGR3izz19WjGsU2P8fewWJ6zdPl54DxtsDgBGhrahXdvBFicSEZGaQgWAiFSIaZr8sCmBp77aVLxwl82AkRc04/6+bQgL8LU4Ye23b98y3ji8DGwGjZxwx4B3rY4kIiI1iAoAETlpiRl5PPHFBr7dcLh4W1zjCCYN6UCHhuEWJvMem7bM587l48mxu3v9nzj73wQGRVqcSkREahIVACJyQqZp8tWf8Uz4YgOp2QUAhAf6MrZ/O/7VqbEG+FaT3K3fcufyx0guHFdxa+gZWulXREQqTAWAiBzXkYxcHp+/ge83JhRvG3hWLBOvaK8pPavT/t8ImH0DT/nbua9eXR6o14PrB0yxOpWIiNRAKgBEpExFU3tO+HIjRwuv+kcF+/HUFR0Y2DHW4nReJjMRPh0FrgJ65ME3Zz9E7DmjrE4lIiI1lAoAESklMSOPxz7/ix82/X3Vf1DHWCYObk+UrvpXK0dBLunzRhGZcci9of9zOvkXEZHTogJARIqVd9V/0pAODDhLV/2t8L8vR/CFYzcv+/tzbpsroNMtVkcSEZEaTgWAiADuq/6Pz9/Adxv/nuFnUMdYnrqiA5HBfhYm814r/3ibdzO3go8Pz9eL5ZNBr2DTSr8iInKaVACIeDnTNPl87UGe/npT8Qw/UcF+PD2kA5fpqr9ljqbu5rH1/wd2gwCXyfO9X8XmH2p1LBERqQVUAIh4sZ2JmTw+fwPLdyYXbxt4VixPXaFefyuZLhdPfX0DRwrn+n+44aW0aH6xxalERKS2UAEg4oVyC5xMWbyTtxbvJN/pAqBuqD9PXt5eM/x4gDkL/8NCVxoAF9vCGHrJfy1OJCIitYkKABEvYpomv2xP4skvN7I7KQsAw4ARXZryYL+2hAf6WpxQfv19Ms/G/wSGQV2nyZOXz8Sw2ayOJSIitYgKABEvsXpPCi99v5VVu1OKt50RG8azV3bgnCZ1LEwmRbZu/4b7N7yF02bg7zJ5pfM46kS2tDqWiIjUMioARGq5DQfT+O8PW1m0NbF4W7Cfnf9c2obR3ZrhY9fVZY+QdpCorx6keYiTTX5+PNd6OHEdhludSkREaiEVACK1kGma/LY7hRkr9rDgr7+n9fTzsXFD16bc0asl0Rrk6zly0+Gja4lOP8T7GQYrLriZPt3HWZ1KRERqKRUAIrXIkfRc5q45wJzVB4p7/AF8bAbXdmrM3Re3IjY80MKE8k+mIx9jzihI2ABA0Pm30OfSlyxOJSIitZkKAJEazDRN9qfk8NueFL7bEM+irYk4XWbxfl+7waCODbjvktY0jQq2MKmU5+m5lxObtIlbAKPNABjwgntktoiISBVRASBSQzhdJsmZeRxKy2X9/qP8tieF33encCQjr9Rz29QL4drzG3PlOQ01n78H+3n5i8zJOwSREdhCY7l56Htgs1sdS0REajkVACJVzOUyOZKRx76UbPalZJOQnku+w4XTZVLgcuF0mjhcJk6XicPlwlH4vcNlkpPvJDEjl8PpuSRm5HHMxf1SQv19GHR2LNee35i4xhEYuors0TLSD/LMlplgNwhzmVx++fvgp7s0IiJS9VQAiFQyp8tk6fZEPltzkI2H0tifmkO+w1Xp7xMd4sf5TSPp1DySzs0iOSM2VDP61CCvLri5eKXfB5tcRky9DhYnEhERb6ECQKSSHEjNZs7qA8xZvZ9DabknfL7dZmC3GfgU/ulrt7n/tBnY7Qa+Nht+PjbqhvpTLyyA+mEB1AvzJyYsgNYxITSPDtZV/hrq93XvMyfvIABdCGBI7+ctTiQiIt5EBYDIafrzwFFe/mEbS7cnYh7TohPga6N7q2iaRQXTJCqIxpFBNIkMomFEIP4+Np28e6mM9IM8vuZVsEOAy2TCJW9opV8REalWKgBETsOnv+9n/PwN5Dv/bvE5q2E4wzo1ZnBcA8ICfC1MJ57GdLl4+svhHCwc53t3vW40bnyBtaFERMTrqAAQOQX5DhdPf72JWSv3Au52nuGdm/Cvzo1p3yDc4nTiqVYve45vnSkAXEgQI/pNsTiRiIh4IxUAIhWUmJHHnR/+we97UgGICvbjf9efS9cWURYnE48W/yedlk7mOT94KzKSZ66Yhc2uv4JFRKT66V8fkQpYt/8ot8/6g8Pp7kG+HRuF89aI82gQodV15Th2LYbZN0BBNoMKDPpf+To+0W2sTiUiIl5KBYDISdp4KI1hb68gr3BKz6vPbcQzV3YgwFcLN0n5Fix+gtYrptI6L8e9of9z+LS6xNpQIiLi1VQAiJyErDwHd3+0ljyHC5sBEy5vz8gLmmomHzmu5b//j0f2fEZMTB0+SDCpf/n/4KyhVscSEREvp7nnRE7CE19sZFdSFgD3X9qGUd2a6eRfjis5aRvj/noT0zBIt9k5fNkLOvkXERGP4HUFQF5eHmPHjqVBgwYEBgbSpUsXFi5ceFLH/vjjj/Tu3Zvo6GgiIiLo3Lkzs2bNquLEYrXP1hxg3poDAHRrGcUdvVpZnEg8ncvp4LFvbiC5cKXfcU0GEhc32tpQIiIihbyuABg9ejSvvPIK119/Pa+//jp2u53LLruMZcuWHfe4L7/8kr59+5Kfn8+TTz7JM888Q2BgICNHjuTVV1+tpvRS3XYlZjJ+/gbAPdvPq8PisNt05V+O74Pv7+RXsgEYYI/kit7PWZxIRETkb4ZpHrt2ae3222+/0aVLF1566SUefPBBAHJzc+nQoQMxMTEsX7683GP79u3Lxo0b2bVrF/7+/gA4HA7atWtHcHAw69evr3CejRs30qFDBzZs2ED79u1P7UNJlclzOLlqynI2HkoHYPqNnejVNsbiVOLp4g/9weXfjyLPZtDQCXOGfkdoWEOrY4mI1Eo6lzo1XnUHYO7cudjtdsaMGVO8LSAggJtvvpkVK1awf//+co9NT0+nTp06xSf/AD4+PkRHRxMYqCkga6Pnv91SfPJ/W48WOvmXk/LaogfIK7xL9PS5/9HJv4iIeByvKgDWrl1LmzZtCAsLK7G9c+fOAKxbt67cY3v16sXGjRt5/PHH2bFjBzt37uTpp59m9erVPPzww1UZWyzw85YEpv26B4CzG0fwQN+21gaSGmH9hk9Y4EgGoK89gk5xN1mcSEREpDSvmgY0Pj6e2NjYUtuLth06dKjcYx9//HF2797NM888w6RJkwAICgpi3rx5XHHFFSd87yNHjpCYmFhi244dOyoSX6qJ02Uy6evNAIT6+/B//zoHPx+vqpXlVJgmfivfpKMzj83+fvyn10tWJxIRESmTVxUAOTk5JVp4igQEBBTvL4+/vz9t2rRh6NChXHXVVTidTqZOncqIESNYuHAhXbt2Pe57T5kyhYkTJ57eB5BqseCv+OIpP++9pDVNooIsTiQez+WEZa9yxoF1zAK2db6RRo2O/3eCiIiIVbyqAAgMDCQvL6/U9tzc3OL95bnrrrtYuXIla9aswWZzXw2+9tprad++Pffeey+rVq067nvfeeedXHPNNSW27dixgyFDhlTwU0hVcrlMJv/svjMTGezH8C5NLE4knm7tnx8QvuJ/tIjfBIAtuC7tLn7K4lQiIiLl86oCIDY2loMHD5baHh8fD0CDBg3KPC4/P5/33nuPhx9+uPjkH8DX15cBAwYwefJk8vPz8fPzK/e9Y2JiiInRIFJPt3BzAlsTMgC45aLmBPl51f8iUkFLVr7C3Vve53wzj/cAI6IJXDkVAsJOeKyIiIhVvKqxOS4ujm3btpGenl5ie9HV+7i4uDKPS05OxuFw4HQ6S+0rKCjA5XKVuU9qFtM0+b+ftwMQHujLDV2bWpxIPFlqyk6e2Pw+pmGwNsCfXd3uhH//Bk0vsDqaiIjIcXlVATB06NDi3v0ieXl5TJs2jS5dutC4cWMA9u3bx5YtW4qfExMTQ0REBJ9//jn5+fnF2zMzM/nqq69o166dpgKtBRZvTWTDQXdxeOOFzQgN8LU4kXiyZxbcSErhdJ8Tmw6mZd/nwFd/D4iIiOfzqv6GLl26cM011/Doo49y5MgRWrVqxYwZM9izZw/vvfde8fNGjhzJkiVLKFojzW638+CDDzJ+/Hi6du3KyJEjcTqdvPfeexw4cIAPPvjAqo8klcQ0Td4ovPof4u/Djd2aW5xIPNl3v0zke2cqABfbwri85ySLE4mIiJw8ryoAAGbOnMnjjz/OrFmzSE1NpWPHjnz99df06NHjuMc99thjNG/enNdff52JEyeSl5dHx44dmTt3LldffXU1pZeqsnxnMmv3HQVg5AVNCQ/S1X8pW3LSNp7ZOQdsBhEuk8cHvodh86qbqSIiUsN5XQEQEBDASy+9xEsvlT9H9+LFi8vcPnz4cIYPH15FycRKRb3/gb52bu6uq/9Svhe/H8PRwtaf8a2GER3dzuJEIiIiFaPLVuL1ft+TwspdKQCM6NqEqJDSa0WIACxd9XrxSr99bGH0u+hxixOJiIhUnAoA8Xr/Vzjvv5+PjVsvamFxGvFYeZkU/P4OdZxOQlwm4/q+ZXUiERGRU+J1LUAix9qekMEv2xIBuK5TY2LCAixOJB4p8wh8dR8XJ+3nXJuNrT3uJabeWVanEhEROSUqAMSrfbHuUPHjGy9U77+U5HTk89VPDzFwzWf45rmniI1o2JkuPZ6wOJmIiMipUwEgXss0Tb5Y714Z+uzGETSLDrY4kXgS0+Xi2bmD+TTvIBn+JjfkAW0vg0GvgWb9ERGRGkwFgHittfuPsj8lB4Arzm5gcRrxNB99/28+zXMXiF+E1+H6ge9ia9vf4lQiIiKnTwWAeK0vC9t/bAYM6hhrcRrxJEt/e4MXE5aCYRDjNPnfoI+w1etodSwREZFKofvY4pUcThdf/+kuALq1jNbgXyl24MBKHt44FZdhEOAyeaPbU9TTyb+IiNQiKgDEKy3fmUxSZj4Ag+PU/iNupsvFMz/dS2bhQl/Pth5O+3ZXWZxKRESkcqkAEK9UNPuPn4+N/h3qW5xGPMUPvz7DMrIBuNKvPpd2H2dxIhERkcqnAkC8Tm6Bk+83Hgbg4rYxhAX4WpxIPEFG+kGe3z4bgDouk/v7T7U4kYiISNVQASBe5+ctR8jMcwBwhdp/pJDvkhcZkpGOj2nyYNPBRNTRuhAiIlI7aRYg8TpfrHNP7Rjq70PvdjEWpxGPsHoaAX9M517gyvAzaNxrktWJREREqozuAIhXScspYNGWRAD6dahPgK/d4kRiNXPLt/DN/e5vgqJoMvgtDC30JSIitZj+lROv8v2Gw+Q7XYDafwRW/jGVEb/8h8M2A3wCYfinEKnWHxERqd3UAiRe5Yv17vaf6BB/LmgRZXEasUpa2j5eXXAL8/Ljwd+XUQ3qMb/rcwQ2Ot/qaCIiIlVOBYB4jSPpuSzfmQy4V/71sesGmDfau3cpo3+6gyS7e65/f5fJnc2vILD9EGuDiYiIVBMVAOI1vvozHtN0P1b7j/f675JHik/+LyCQxy95lcaNL7Q4lYiISPVRASBe46fNCQA0qhNIXOMIa8OIJf7aOIdFZjoAl/vU5ZnrftSAXxER8Tr6l0+8Qk6+k9V7UgHo1bYuhmFYnEisMHn1SwD4mCb/7vW8Tv5FRMQr6V8/8QqrdicXz/5zUeu6FqcRK6xeN53l5AAwNLAJDRt2tjiRiIiINVQAiFdYuj0JALvN4IKWmv3H67icRK6ZRa+sbAJcJmN6v2h1IhEREctoDIB4hWWFBUBc4wjCAnwtTiPVqiAXPruFFvtW839AQpdbqBvTwepUIiIillEBILVeQnouWxMyAOjeKtriNFKd0tL24TPvVoL3rXRviGlPvV7jrQ0lIiJiMRUAUusVXf0H6NFGBYC3SE/bzy2fXU5EfhZTAN+m3eFfH0JghNXRRERELKUxAFLrLd2eCECovw9nN4qwNoxUi+zMI9zx2RVssblYGRjIp226wYh5OvkXERFBBYDUci6XybId7tV/L2gZpdV/vUBuTip3z72MP20FAFxqC2fYNZ+Db4DFyURERDyDzoakVttyOIOkzDwALmqj6T+9wfPzh/Gb4f5v3p1gXrj2e3x08i8iIlJMBYDUast2JBY/vkgDgGu9xStfYV5+PADnmH68eu23+PoHW5xKRETEs6gAkFqtaP7/xpGBNI0KsjiNVKWUlJ1M2Pw+ACEukxf6TiUgsI7FqURERDyPCgCptXILnPy2OwWA7q3qYhiGxYmkqpguF09/M4oUm/u/8aNNBxPb4DyLU4mIiHgmFQBSa/2+J4U8hwuAHq3V/lOrbV9Ij4RdBLtc9LGFcXmvSVYnEhER8VhaB0BqraL2H5sB3VqqAKi1TBNj6UtcmZlFZ5cvgTfPx7Dp2oaIiEh5VABIrVVUAHRsFEF4kK/FaaTK7P4FDvwOQMPzboao1hYHEhER8Wy6TCa1UmJGHpvj0wG1/9R26b+84H7gGwRd77Q2jIiISA3gcQVAfn6+1RGkFvh1R1Lx4+6tNf9/bbXurw+5xNzLC5ERpJwzHIJV7ImIiJyIxxUA9evXZ8yYMSxdutTqKFKD/bLdPf9/sJ+dc5pEWBtGqkRy0jZe/eMVcmw2ZoeF4jjvRqsjiYiI1AgeVwAMHTqUefPm0atXL5o1a8b48ePZvHmz1bGkBjFNk2WF/f8XtIzC1+5xv+ZyGvJy03jny5EM/Ooq1hjuO4ZXBjQipl4Hi5OJiIjUDB53ZjR16lQOHz7M3LlzOf/88/nvf/9Lhw4dOP/883n99ddJSEiwOqJ4uN1JWRzJyAPgQq3+W6uYLhcPfjqAN1LXklU45393grl3wDsWJxMREak5PK4AAPD19eXKK69k7ty5JCQkMHXqVMLDw3nggQdo3Lgxl112GR999BE5OTlWRxUPtGbf0eLHnZpFWhdEKt28Hx9gsZkBQCuXjbfPvJ03R60kLLyxxclERERqDo8sAI4VFhbGzTffzAsvvMCVV16Jw+Hgu+++Y8SIEdSvX5+HHnqIrKwsq2OKB1mzLxWAQF877eqHWpxGKsu+fct48eBCAGKcJtOv+opunf5tcSoREZGax6PXAdi9ezcffvghH374Idu2bSMqKoq77rqLkSNH4ufnx9SpU3njjTfYtWsX8+bNszqueIg1e90FQMdG4fio/792cDr4c+EjFNjd3046+y7Cw5tYm0lERKSG8rgCIDk5mdmzZ/PBBx+watUq/Pz8GDRoEC+++CIDBgzAx+fvyJMnT6Zx48Y89dRTFiYWT5KZ52BbgrtF5NymdSxOI5Vm9fsM2v8XLf18+a3txVxw3u1WJxIREamxPK4AiI2NxeFwcMEFFzBlyhSGDRtGREREuc9v3749MTEx1RdQPNr6/Udxme7H5zZRAVArFOTA0pcBOCO4EWcMnmFxIBERkZrN4wqAcePGccMNN9CyZcuTev6gQYMYNGhQFaeSmqKo/QfQ/P+1xer3IbNw9q9ej4BvoLV5REREajiPKwCefPJJqyNIDVY0ALhpVBDRIf4Wp5HTlZOdwk0bp3BlaAhX+tXHt8NQqyOJiIjUeB5XAPzyyy/H3W8YBgEBATRq1IjY2NhqSiU1gWmarN1/FFD7T23x6aKxbPC1sSE6krBml9Pf7nF/ZYmIiNQ4Hvevaa9evTAM46Se27p1ayZOnMiwYcOqOJXUBLuTsjiaXQDAuWr/qfHS0vbx/pEVYDNo4TS49MJxVkcSERGpFTyuAPjuu+8YO3YseXl53HrrrbRq1QqA7du38+677xIYGMj48ePZu3cvb7/9NsOHD8dutzN0qFoDvN2xC4CdozsANZrpcvH4F9eRUrja7x2trsbu42dxKhERkdrBIwuAgICA4ilAj3XnnXfSq1cvVq5cyQsvvMDtt9/O+eefzwsvvKACQLQAWC0y89vbWWSmA9DbCKNf98ctTiQiIlJ7eNwqSR9++CHDhw8vdfIPEBAQwPXXX8+MGTOKvx8xYgSbNm2q7pjigbQAWO2wbsNHvJa4HICGTnj6io8xbPrvKSIiUlk87l/VrKwsEhISyt0fHx9PZmZm8fcRERHY7fbqiCYeTAuA1Q55uWk8+ttzOAwDX9Pkvxc8qRV/RUREKpnHFQAXX3wxr732Gl9//XWpfV999RWvv/46F198cfG2devW0axZs2pMKJ5IC4DVDgt+foQDhfX8fTHdaH/G1dYGEhERqYU8bgzA5MmT6d27N1dccQUNGzYsXhBs586dHDx4kKZNm/J///d/AOTm5rJv3z5uueUWKyOLB9ACYLVARgJD1n2Jn6+LryLrMfzSN6xOJCIiUit5XAHQpEkT/vrrL9566y2+//579u7dC8AZZ5zBfffdx2233UZwcDDgHgOwYMECK+OKh9ACYLXAz09j5GcyMB8GXvUK+AZYnUhERKRW8qgCIDc3l6lTpxIXF8f999/P/fffb3UkqQG0AFgtEL8e1n7gftxmALS8+PjPFxERkVPmUWMAAgICGDt2LFu3brU6itQgu7QAWI1muly8/sO/2eznAzYf6DvJ6kgiIiK1mkcVAAAdOnRgz549VseQGqRk/7/uANQ0y/+YwrukcW3DWL7s0B+iW1kdSUREpFbzuALgmWee4e233+bHH3+0OorUEEUrAAf5aQGwmsbldPDqhncACHaZdO810eJEIiIitZ9HjQEA9yxAkZGR9OvXj+bNm9O8eXMCAwNLPMcwDL744guLEoqnWbtPC4DVVAuWTmSrzQXA6MhziIzU1X8REZGq5nEFwJ9//olhGDRp0gSn08mOHTtKPccwDAuSiSfKzHOwtWgBMLX/1Cj5eRlM3jUf7BDlNBl56atWRxIREfEKHlcAqP9fKmL9/qOYWgCsRlqwbBIHCxf9urNhH4KCoq0NJCIi4iXULyE12rEDgOM0A1CN8vl+9zifKKfJlRc/Z3EaERER7+GRBYDT6eSTTz7htttu48orr+Svv/4CIC0tjc8++4yEhASLE4qn2HAoDYBGdQK1AFgNsmfPEtYY+QAMDmuNr2+QxYlERES8h8cVAEePHuXCCy9k+PDhfPzxx3z55ZckJiYCEBISwj333MPrr79ucUrxFBsPpQPQoUG4xUmkIlate6/48ZDz7rIwiYiIiPfxuALgkUceYePGjXz//ffs2rULs6jBG7Db7QwdOpQFCxZYmFA8RVp2AQdScwBo3yDM4jRy0pwOhu38ja/2H2KcM5QWzftYnUhERMSreFwBMH/+fO6++24uvfTSMmf7adOmjQYKCwAb49OKH7dvqAKgxtj5M2TE08zh4Lqzb7M6jYiIiNfxuAIgLS2N5s2bl7u/oKAAh8Nxyq+fl5fH2LFjadCgAYGBgXTp0oWFCxee9PGzZ8/mggsuIDg4mIiICLp168bPP/98ynnk1G0qbP8BaK8WoBrDuWam+4FvELS/0towIiIiXsjjCoCWLVuyZs2acvf/8MMPnHnmmaf8+qNHj+aVV17h+uuv5/XXX8dut3PZZZexbNmyEx775JNPct1119G4cWNeeeUVJk2aRMeOHTl48OAp55FTV9T/HxXsR0yoBgB7OtPlYsY3t3LH0VUUAJw5BAJ050ZERKS6edw6ALfccgtjx46lV69e9Onj7g02DIO8vDyeeuopvvvuO6ZOnXpKr/3bb7/xySef8NJLL/Hggw8CMHLkSDp06MDDDz/M8uXLyz125cqVPPXUU/z3v//lP//5zym9v1SujYUzAJ3ZIEyLw3k4R0Euz8+7ktl5ByAwgBfqxjC+291WxxIREfFKHlcA3HvvvWzcuJHrrruOiIgIAIYPH05ycjIOh4PbbruNm2+++ZRee+7cudjtdsaMGVO8LSAggJtvvplx48axf/9+GjduXOaxr732GvXr1+fee+/FNE2ysrIICQk5pRxy+nILnOxMzALU/lMT/Hf+te6TfyDGaXLNpa9CvVO/kyciIiKnzuNagAzD4J133uGXX35h5MiRDBgwgLi4OMaMGcPixYt58803T/m1165dS5s2bQgLK9l20LlzZwDWrVtX7rE//fQTnTp14o033qBu3bqEhoYSGxvL5MmTTzmPnLothzNwutwzRGkGIM+Wn5fB55m7AGjlNPho4Ee0bTPI4lQiIiLey+PuABTp3r073bt3r9TXjI+PJzY2ttT2om2HDh0q87jU1FSSkpL49ddf+fnnn5kwYQJNmjRh2rRp3H333fj6+nLbbcefzeTIkSPF6xkU2bFjxyl+Eilq/wEVAJ7ut/XTyLK5W7TGtLyKevU6WpxIRETEu3lsAVAVcnJy8PcvPVg0ICCgeH9ZMjMzAUhOTuaTTz5h2LBhAAwdOpSzzjqLSZMmnbAAmDJlChMnTjyd+HKMogHAwX52mkUFW5xGjuennd8A4GuaXHSupv0UERGxmse1AJmmydtvv03nzp2Jjo7GbreX+vLxObW6JTAwkLy8vFLbc3Nzi/eXdxyAr68vQ4cOLd5us9kYNmwYBw4cYN++fcd97zvvvJMNGzaU+Jo/f/4pfQ75uwA4IzYMm00DgD2V05HPohz3LFldbCGEhJa+AyciIiLVy+PuADz88MO88sorxMXFMWLECOrUqVNprx0bG1vmlJ3x8fEANGjQoMzjIiMjCQgIICIiArvdXmJfTEwM4G4TatKkSbnvHRMTU/xcOT0Op4st8e4CQO0/nu3PTZ+SbHcXaH1iL7Q4jYiIiIAHFgAzZszg6quv5tNPP630146Li2PRokWkp6eXGAi8atWq4v1lsdlsxMXF8fvvv5Ofn4+fn1/xvqJxA3Xr1q30vFK2XUlZ5DlcgGYA8nTh+39jWHoGS4IC6XXOmBMfICIiIlXO41qAcnJyuOSSS6rktYcOHYrT6SyxjkBeXh7Tpk2jS5cuxVOA7tu3jy1btpQ4dtiwYTidTmbMmFG8LTc3lw8//JAzzzyz3LsHUvmOHQB8pu4AeC7TpMWOJYxPTuUHoynR0W2tTiQiIiJ44B2APn368Pvvv5eYq7+ydOnShWuuuYZHH32UI0eO0KpVK2bMmMGePXt47733ip83cuRIlixZgmmaxdtuu+023n33Xf7973+zbds2mjRpwqxZs9i7dy9fffVVpWeV8m0q7P/3tRu0qRdqcRopV8JGSN0DgHHG5dZmERERkWIedwdgypQprFy5kmeffZbk5ORKf/2ZM2dy3333MWvWLO655x4KCgr4+uuv6dGjx3GPCwwM5Oeff2b48OG8//77PPTQQ9hsNr755hsGDBhQ6TmlfEUDgFvHhOLn43G/wlIod83fd8top3n/RUREPIVhHnuZ2wOEhobicrmKZ+YJCAgoNfDWMAzS0tLKOrxG2bhxIx06dGDDhg20b9/e6jg1gmmaxD21kLScAq45rxEvXXO21ZGkDIcPr2Poguu5OiODG8PbEzH6W6sjiYhILaRzqVPjcS1AV199NYahaR2lbAeP5pCWUwBoBiBPNnXxI6TZbbwfEU7vc0cQZ3UgERERKeZxBcD06dOtjiAerKj9B6B9Q80A5In271/B57kHwDC4yAgm7qzrrY4kIiIix1ADtdQoRQWAYbgXARPP89bS8TgK7+Ld1fkRi9OIiIjIP3lkAbBv3z5uv/122rZtS506dfjll18ASEpK4p577mHt2rUWJxSrbCqcArRZVDAh/h53A8vr7d6zmK/zEwC41BbOme2GWBtIRERESvG4M6hNmzZx0UUX4XK56NKlCzt27MDhcAAQHR3NsmXLyMrKKjFtp3iPojsAmv/fM727/GlchoFhmtzZ7Qmr44iIiEgZPK4AePjhh4mIiGDlypUYhkFMTEyJ/QMHDmT27NkWpRMrpWTlE5/mnh1KA4A9z4EDK/kmPwEMg0vsdWjVsq/VkURERKQMHtcC9Msvv3DHHXdQt27dMmcDatKkCQcPHrQgmVjt2BWA2zfQAGBP8/6yJ3EW/j87pvNDFqcRERGR8njcHQCXy0VQUFC5+xMTE/H396/GROIpSswApDsAniXtIN0PbGBDWDB1AyJp13aw1YlERESkHB53B+Dcc8/lm2++KXOfw+Hgk08+oWvXrtWcSjxBUQFQL8yf6BAVgR5l+RtcnJnB7EOHea7781anERERkePwuALg0Ucf5bvvvuOOO+5gw4YNACQkJPDjjz/St29fNm/ezCOPaGpBb1TUAqT2Hw+TcxTWzATAaNGLsBY9rc0jIiIix+VxLUADBgxg+vTp3HvvvUydOhWAESNGYJomYWFhzJw5kx49elicUqpbTr6T3UlZAJyp+f89Ss6aGQQWZLu/6Xa3tWFERETkhDyuAAC44YYbuOqqq1i4cCHbt2/H5XLRsmVL+vXrR2hoqNXxxAI7jmRimu7H7WL1O+ApXE4Hw7a+S4N6dbnJFUznFhdbHUlEREROwCMLAIDg4GCGDBlidQzxEFsTMooft62nAsBTrFw7ld122B0UyAV1u9DZ5nFdhSIiIvIP+tdaaoRthQWAr92gWXSwxWmkyOxNHwIQ4DIZcuF4i9OIiIjIyVABIDXC1sPuAqBl3RB87fq19QTxh/5gscs9MHtAQCzh4U0sTiQiIiInQ2dSUiMUFQBt66v9x1PMWfkCrsKFv/51zr8tTiMiIiInSwWAeLy07AIOp+cC0Eb9/x7B5XTwzdFNAJzl8uHMdkOsDSQiIiInTQWAeLxtRzQA2NOs2/ARh+zuq/+DYrtZnEZEREQqQgWAeLyi9h9QC5CnWLD5YwDspkm/8++1OI2IiIhUhOXTgDZv3hyjsI/4ZBmGwc6dO6sokXiaohmAgvzsNIwItDiN4MjHkboL30BfuhghREW3sTqRiIiIVIDlBUDPnj1LFQCrV69m48aNnHnmmbRt2xaArVu3smnTJjp06MB5551nRVSxSNEdgNb1QrHZKlYsShXY+TNPJhzmfpvB0f7PWZ1GREREKsjyAmD69Oklvp8/fz7z589n4cKF9OnTp8S+hQsXcu211/L0009XY0KxkmmaxXcA2tYLsTiNAPDXpwCE2QMJO/sGi8OIiIhIRXncGIAnnniCu+++u9TJP8Cll17KXXfdxfjxWnDIWyRm5pGaXQBoBiCPkJcBWxa4H7e9DPxVlImIiNQ0HlcAbN++naioqHL3R0VFqf/fi2w7nFn8WAOArffLyleYFeRDkt0GHa+1Oo6IiIicAo8rAFq2bMm0adPIzMwstS8jI4P333+fFi1aWJBMrLDlcHrxYxUA1ntr13xejKrDsIYNcTbvaXUcEREROQWWjwH4p0mTJjF06FDatWvH6NGjadWqFeC+MzBjxgwSEhKYM2eOxSmluhT1/9cJ8qVuiL/Fabzbxi2f8ZfNAcCVdTpg9w2wOJGIiIicCo8rAIYMGcKCBQsYO3Yszz77bIl9cXFxvPfee/Tr18+idFLdtia47wS1qRda4elipXJ9uvZNAGymydCuYy1OIyIiIqfK4woAgL59+9K3b18OHz7M3r17AWjatCn169e3OJlUJ5fLZHvRDEBq/7FUWto+FuTGg82glz2c+rHnWB1JRERETpFHFgBF6tevr5N+L3bwaA7Z+U5AMwBZ7avlz5JbuAbDsHbDLU4jIiIip8PjBgED7Nu3j9tvv522bdsSGRnJL7/8AkBSUhL33HMPa9eutTihVIeiBcBAdwCsZLpczI5fDkATJ3Q99zaLE4mIiMjp8Lg7AJs2beKiiy7C5XLRpUsXduzYgcPhHngYHR3NsmXLyMrK4r333rM4qVS1rQl/FwBtYlQAWOW3de+yx24CcG29rtjsHvfXhoiIiFSAx/1L/vDDDxMREcHKlSsxDIOYmJgS+wcOHMjs2bMtSifVqWgGoPphAYQH+Vqcxnt9u+lDAPxdJld0G2dxGhERETldHlcA/PLLLzzxxBPUrVuX5OTkUvubNGnCwYMHLUgm1a2oBaiN2n+sk36I8Tv/4qJAPw426UxEneZWJxIREZHT5HEFgMvlIigoqNz9iYmJ+PtrPvjarsDpYldiFgBt64VYnMaLrZmJj+mkT3YOdJ9gdRoRERGpBB43CPjcc8/lm2++KXOfw+Hgk08+oWvXrtWcSqrbnqQs8p0uQDMAWcZZAH9Mdz+OjYOG51qZRkRERCqJxxUAjz76KN999x133HEHGzZsACAhIYEff/yRvn37snnzZh555BGLU0pVO3YAcLv6YRYm8V4b17zLlrwk9zedbgYtxCYiIlIreFwL0IABA5g+fTr33nsvU6dOBWDEiBGYpklYWBgzZ86kR48eFqeUqratsP/fMKBVjFqArPDqpvdZ1TCWC3MLeLP91ej0X0REpHbwuAIA4IYbbuCqq65i4cKFbN++HZfLRcuWLenXrx+hoWoH8QZFdwCaRgYR6Ge3OI332bz1C1aRC0DzyDYY/sEWJxIREZHK4pEFAEBwcDBDhgyxOoZYZFtCJqD+f6vMWP0aAHbTZES38daGERERkUrlcWMAWrRowQUXXMDWrVvL3P/FF1/QokWLak4l1Sm3wMme5MIZgDQFaLU7HL+W7woSAejrE0XDhp0tTiQiIiKVyeMKgD179rBmzRo6d+7M/PnzS+3PzMxk79691R9Mqs2OI5mY7oVndQfAAh/++hTOwgG/o867x+I0IiIiUtk8rgAAeOWVV+jRowdXX301jz/+uNVxpJoVLQAGugNQ3TLSDzInYzsA55v+tD/jaosTiYiISGXzyAKgTp06fPXVV0yYMIHnnnuOgQMHkpaWZnUsqSbbjrgLAB+bQbMoDT6tTvOXPUWWzX31f3S74RanERERkargkQVAkSeeeIKvv/6aVatW0alTJzZu3Gh1JKkGOwoHADeLDsbPx6N/RWsV0+Xi84SVADRxwkWd1P4jIiJSG3n82VX//v35/fffCQ4OpmvXrnzxxRdWR5Iqtv2IuwBorfn/q5WR8BfPxh9kRFo6I2K6YLN77CRhIiIichpqxL/wzZs3Z8WKFdx2223MmjULQyuS1lq5BU72p2YDKgCq3bqPaJdfQLuUNBj1pNVpREREpIp4XAGwaNEizjjjjFLbAwICmDFjBtdeey1JSUkWJJPqsDPx7xmAWqoAqD6OfPjzU/fjFj0hvJG1eURERKTKeFwB0LNnz+PuHzhwYDUlESvsKGz/AWgdoxmAqkvypnmE56S4/0KIu97qOCIiIlKFLC8AZs6cCcANN9yAYRjF3x+PYRjccMMNVR1NLFBUABgGtKirGYCqy8R1k/mrcUOuzc7njnaDrI4jIiIiVcjyAmD06NEYhsG//vUv/Pz8GD169AmPUQFQexUVAE0igwjwtVucxjskJ21jqSsNh4+dw9HNwS/I6kgiIiJShSwvAHbv3g2An59fie/FOxXNANSqrvr/q8uC3/6Lo3Bg/RVnqrAWERGp7SwvAJo2bXrc78V7FDhd7EnKAqBVPRUA1eXLhJVgg8ZOOOesEVbHERERkSrm8esAiPfYm5yFw+WeAkgDgKvHlq1fssXmAmBwVByGTX8liIiI1HaW3wG4+OKLK3yMYRj89NNPVZBGrLQ94e8ZgFppCtBq8cWf7xY/HtzpXguTiIiISHWxvABwuVwVXtjLLJooXmqVY6cAVQFQ9QoKslmQuQtsBp0JoEGD862OJCIiItXA8gJg8eLFVkcQD1E0ADg2PIAQf8t/NWu9ZaunkGIrHPzb5FKL04iIiEh1UcOveIziGYB09b9auHYtpnl+AUEuk0u63G91HBEREakmHn2ZNSMjg7S0NFwuV6l9TZo0sSCRVBWny2RXogqAapO6lz47lnOx6eRgx6sJCoq2OpGIiIhUE48sAN58801eeeUVdu3aVe5znE5nNSaSqnYgNZs8h7vQ0wxA1eDX18B0YgCNut5jdRoRERGpRh7XAvTWW2/x73//m1atWjFp0iRM0+S+++7jkUceoX79+px99tm89957VseUSnbsAODWWgOgSrnSDsDaD9zftO4HDeIszSMiIiLVy+MKgP/7v/+jX79+fPvtt4wZMwaAgQMH8swzz7Bp0yYyMjJITk62OKVUtu3HzgCkVYCr1Ms/3MndUWH85ecHPR60Oo6IiIhUM48rAHbu3Mnll18OgK+vLwD5+fkAhIeHc8sttzBlyhTL8knVKLoDEB3iR51gP4vT1F7JSduYk7mLxcFBvN6wGTTubHUkERERqWYeVwCEh4fjcDgACAsLIygoiP379xfvDw0N5fDhw1bFkypSdAegpa7+V6kPfxlPbuHUn7d1vN3iNCIiImIFjysAOnTowPr164u/79q1K2+++SYHDx5k//79vP3227Rp08bChFLZTNNkZ2EBoP7/qrXw6BYAznL5cP7ZN1qcRkRERKzgcbMAjRgxgrfeeou8vDz8/f2ZOHEil1xySfG0n76+vsybN8/ilFKZDqfnkpnnvuuj/v+qc+DASvbY3atoXxzVEcPmcfW/iIiIVAOPKwBuvPFGbrzx7yuTF154IRs3buSrr77CbrfTt29f3QGoZbYnHDsDkKYArSq/bvyo+HH3tldbmERERESsVCMuAbZo0YJ7772Xu+6667RP/vPy8hg7diwNGjQgMDCQLl26sHDhwgq/zqWXXophGNx1112nlUf+MQWoFgGrMssSVgMQ7TRp23qQxWlERETEKh5dALhcLlJTU0lJSSn1dapGjx7NK6+8wvXXX8/rr7+O3W7nsssuY9myZSf9Gp999hkrVqw45QxSUtEA4NAAH+qG+lucpnbKz8tglTMdgG4B9dT+IyIi4sU87iygoKCASZMm0aJFC/z9/YmOjqZu3bqlvk7Fb7/9xieffMJzzz3HSy+9xJgxY/j5559p2rQpDz/88Em9Rm5uLg888ABjx449pQxS2o4jGYD76r9hGBanqZ02bZ5LTuHsP90bXWRxGhEREbGSx40BuO2225gxYwZdu3ZlyJAhhIeHV9prz507F7vdXrzAGEBAQAA333wz48aNY//+/TRu3Pi4r/Hiiy/icrl48MEHeeKJJyotm7cyTbP4DkArtf9Umbgju/hp30F+DQqk2xWjrY4jIiIiFvK4AmDOnDnccMMNTJ8+vdJfe+3atbRp04awsLAS2zt3di+GtG7duuMWAPv27eP555/n/fffJzAwsNLzeaPkrHyOZhcA0DpGA4CrzI4fiXE6uTL8TIhoZnUaERERsZDHFQBBQUF07dq1Sl47Pj6e2NjYUtuLth06dOi4xz/wwAOcc845/Otf/6rwex85coTExMQS23bs2FHh16ltjh0ArDsAVSTtIBzZ5H7c6hJrs4iIiIjlPK4AuO666/j666+5/fbKX6U0JycHf//Sg0wDAgKK95dn0aJFzJs3j1WrVp3Se0+ZMoWJEyee0rG12XYVAFVu/6Y5RBgGoaYJrVUAiIiIeDuPKwBefPFFbrrpJgYNGsRNN91E48aNsdvtpZ537rnnVvi1AwMDycvLK7U9Nze3eH9ZHA4H99xzDzfccAOdOnWq8PsC3HnnnVxzzTUltu3YsYMhQ4ac0uvVFjsS3AOAA33tNIxQW1VVeH77bJY3bUTfPCcvxJ5jdRwRERGxmMcVAHl5ebhcLr799lu+/fbbUvtN08QwDJxOZ4VfOzY2loMHD5baHh8fD0CDBg3KPG7mzJls3bqVt99+mz179pTYl5GRwZ49e4iJiSEoKKjc946JiSEmJqbCmWu7HYnuOwAtY4Kx2TQDUGXLzk5ipSsDh2EQENYINP2niIiI1/O4AuCmm27i888/51//+hddunSp1FmA4uLiWLRoEenp6SUGAhe19cTFxZV53L59+ygoKODCCy8stW/mzJnMnDmTzz//3Ouv5p+KolWANQC4aqxY+y75hVOr9m7e3+I0IiIi4gk8rgD4/vvvufvuu3n11Vcr/bWHDh3Kyy+/zNSpU3nwwQcB9x2HadOm0aVLl+IZgPbt20d2djbt2rUD4F//+leZxcGVV17JZZddxq233kqXLl0qPW9tl55bwJEMd0uW+v+rxs973atcB7hMup59k8VpRERExBN4XAEQFhZGq1atquS1u3TpwjXXXMOjjz7KkSNHaNWqFTNmzGDPnj289957xc8bOXIkS5YswTRNANq1a1dcDPxT8+bNdeX/FB07A1DLuioAKpvDkccveQlgM7jAJ5yAwDpWRxIREREP4HENwbfeeisff/zxKfX4n4yZM2dy3333MWvWLO655x4KCgr4+uuv6dGjR5W8n5RPU4BWrfUbP+Fo4biK3g26W5xGREREPIXH3QE488wz+eKLLzj33HMZNWpUubMAXXXVVaf0+gEBAbz00ku89NJL5T5n8eLFJ/VaRXcI5NTsLCwAfGwGTaPKH0Atp2bRts8BsJkmPc+51eI0IiIi4ik8rgAYNmxY8eOiPv1/OtVZgMSzFN0BaBYdjK/d425G1Wimy8XPGTvBDnH4ExlZNW11IiIiUvN4XAGwaNEiqyNINSmaArSV+v8rnXPDXC7JSGd6eCi9ozX3v4iIiPzNowqA3Nxc1q9fT1xcnHrya7ncAif7U7IB9f9XuvRD+Cx4kPtz0+jl8qP54EetTiQiIiIexKP6LgICAhg7dixbt261OopUsd1JWbgKh1CoAKhEpglf3AW5aQCc2/9V6kS2tDiUiIiIeBKPKgAAOnToUGq1Xal9NANQ1Vi+5ElSdxe20Z09HM4YZG0gERER8TgeVwA888wzvP322/z4449WR5EqdGwB0KJusIVJag+nI5/Hd83jyoaxLI9qBAOetzqSiIiIeCCPGgMAMHnyZCIjI+nXrx/NmzenefPmBAYGlniOYRh88cUXFiWUylA0ALhhRCBBfh73a1gjrdnwAUfsBmDnYNtLICDc6kgiIiLigTzuzOvPP//EMAyaNGmC0+lkx44dpZ5jGIYFyaQyFa0BoPafyvPdlk8B8DFNLu10j8VpRERExFN5XAGg/v/az+ky2ZWUBagAqCyOglwW5hwAm0FXI4SIOs2tjiQiIiIeyuPGAEjttz8lm3yHC1ABUFl+W/ceqTb3nbH+jXtZG0ZEREQ8msfdASiyZMkSvvnmG/bu3QtA06ZNGThwID179rQ4mZwuzQBU+b7b8TkAvqbJxeffbXEaERER8WQeVwDk5+dz3XXXMX/+fEzTJCIiAoCjR4/y3//+lyuvvJKPP/4YX19fa4PKKSsaAAxaBbgyFORl8WPuYbAZdLeFExrW0OpIIiIi4sE8rgVo4sSJfP755zzwwAPEx8eTkpJCSkoKhw8f5sEHH+Szzz7jqaeesjqmnIaiOwBRwX7UCfazOE3Nt3zt22QUtf80vcTiNCIiIuLpPK4A+Oijjxg1ahQvvvgi9erVK94eExPDCy+8wMiRI5k1a5aFCeV0FRUALdX+UymCdi7mjLx8Alwmvc77t9VxRERExMN5XAEQHx9Ply5dyt3fpUsXDh8+XI2JpDKZpqkpQCtT0nY6bV/C7EOHmRPRlaCQGKsTiYiIiIfzuAKgUaNGLF68uNz9S5YsoVGjRtUXSCrVkYw8MvIcgPr/K8WKyQAYQLPuD1ubRURERGoEjysARo0axaeffsrtt9/O1q1bcTqduFwutm7dyh133MGcOXMYPXq01THlFG1P0AxAlcXMOALrPnZ/02YA1G1jbSARERGpETxuFqBx48axc+dOpk6dyjvvvIPN5q5RXC4XpmkyatQoxo0bZ3FKOVU7jmQUP1YBcHre+ule/owOY1RaOl0uuAutjy0iIiInw+MKALvdzvTp07n//vtZsGBBiXUALrvsMjp27GhxQjkdRVOABvvZiQ0PsDhNzZWTncLHqX+RGhTI0YBQPmrazepIIiIiUkN4XAFQpGPHjjrZr4WOnQHIMHTN+lR9v+KF4pV/R7UcgmHzuG4+ERER8VA6a5BqteNIFqABwKfrs/0/AhDtNLnkgrEWpxEREZGaxCPuAFT0Sr9hGKxfv76K0khVScsuICkzD9AaAKdj1+6fWWvkAzA4vC0+vmqlEhERkZPnEQVAZGTkSbWDHD58mK1bt6p1pIbakagBwJVh/h//V/z4yvPusTCJiIiI1EQeUQAcb95/cJ/4v/DCC7z99tvY7XZuuOGG6gkmlaqo/x9UAJyqgoJsvsjYDjaDc01/mjXraXUkERERqWE8ogAoT0JCAs8//zxTp06loKCAESNG8Nhjj9GyZUuro8kpKCoAfO0GTSODLE5TM/3y2xukFA7+vbpJX4vTiIiISE3kkQVA0RX/Y0/8x48fT4sWLayOJqehqABoFhWMj13jz0/F7l0/4GOaBJhwadcHrY4jIiIiNZBHFQCHDx/m+eef55133qGgoIAbbriB8ePH07x5c6ujSSUoWgNA7T+nKGUXt+xayxADtnUYRGBQpNWJREREpAbyiAIgPj6++MTf4XAwcuRIHnvsMZ341yK5BU4OpOYAKgBO2YopYLqINiH6wketTiMiIiI1lEcUAC1btiQvL4+4uDjGjRtH8+bNSU1NJTU1tdxjzj333GpMKKdrZ2Impul+rALgFGQlw9oP3I9bXQL1zrQ2j4iIiNRYHlEA5ObmArB27Vquvfba4z7XNE0Mw8DpdFZHNKkkx84A1FKLgFXY7J8fJjfIh6szDEK63W11HBEREanBPKIAmDZtmtURpIoVFQCGoQKgovJy05iStIqUqDosjohmWnNN/SkiIiKnziMKgFGjRlkdQarY9gR3AdAkMohAP7vFaWqWr5ZOLJ76c2iLwe4qSkREROQUaS5GqRbbjrhXAW6t/v8Km3PgZwDqO036XviIxWlERESkplMBIFUuz+Fkb3I2AK3rhVqcpmbZu3cpm2zu8S5D6pyFr68WUBMREZHTowJAqtzupCycLvcUQLoDUDEL1r5V/HhA3C0WJhEREZHaQgWAVLmi/n+ANroDcNJMl4tvU/4CoK3LRovmfSxOJCIiIrWBCgCpctsT3P3/mgGoYrbtWMBuu/vOyYBorXshIiIilUMFgFS57YVTgDauoxmAKuL7v6YXP+5/7h3WBREREZFaxSOmAZXabVuCZgCqMNNkzL6tnFmQyKboZjRs2NnqRCIiIlJLqACQKpXvcLFHMwBV3IHfCUjbxyXAJe1vtDqNiIiI1CJqAZIqdewMQG3q6Q7ASftrrvtPwwZnDrE0ioiIiNQuKgCkSm0vXAAMoHWM7gCcDKcjn/1b5ru/aXYRhNazNI+IiIjULioApEptK5wC1DCglcYAnJTf10/jsih//tWgHttb97Q6joiIiNQyKgCkShVNAdqoTqBmADpJ325zt/9s9fMjpv01FqcRERGR2kYFgFSpoilA26j956QU5GWxMDcegO62MMLDm1icSERERGobFQBSZfIdLvYkZQHQSgOAT8qva98iw2YAMKDppRanERERkdpIBYBUmT3JWTiKZgDSHYCTsmDHlwAEukx6dbrb4jQiIiJSG6kAkCpTtAAYQGvdATihP9bPYHFBMgA9faMICoq2OJGIiIjURloITKrM9sIZgEAzAB2XI583v7yBN9M3Yha2/wxpq8G/IiIiUjV0B0CqTNEaAI0jAwnyU61Zrs9vI2zPMkzDwN9lMq5eTy7sdJfVqURERKSW0lmZVJmiOwBaAOw4knbAxs8YDhwIq8/Q3s/TsqUG/4qIiEjVUQEgVSLf4WJ34QxA6v8/jj+mAWAAY6/4GOq2sTaPiIiI1HpqAZIqsfeYGYB0B6BsBXkZONZ+4P6m2UU6+RcREZFqoQJAqsS2YwYAt9EdgDIt+PUZ+tcN4s2IMLLPud7qOCIiIuIlVABIlSgaAAzQsq4KgLJ8uvd7Enx8mB0Wjm+7wVbHERERES+hAkCqRNEA4EZ1Agn211CTf9q89Qv+tDkAuCriTHz9gy1OJCIiIt5CBYBUiaI7AK01/3+Z5q19CwCbaXJN17EWpxERERFvogJAKl2B8+8ZgNrU0wDgf8rPy+DbnP0AdDNCiG1wnsWJRERExJuoAJBKtzc5iwJn4QxAKgBK+eX3yaQXrvg7uFl/i9OIiIiIt1EBIJXu2BmA1AJU2pe7vgYgxGXSu/O9FqcRERERb6MCQCrdtoS/ZwBqpQKghNSUnSx1pQHQNyCWgMA6FicSERERb6MCQCrd9iPuOwANIzQD0D/t/+sj6jmcAFx+xnCL04iIiIg30tmZVLrthXcAtABYaR23LWLBwUOsi2pC3Fk3WB1HREREvJAKAKlUeQ4nuxILZwCqrwHAxUwT1s6Cg39gA85tPwzs+t9PREREqp9agKRSbU/IxOFyzwB0ZmyYxWk8Q0LCn9wzqxtbvrvfvcHuB2dfZ20oERER8Vq6BCmVasvhvwcAt6uvAiAnO4VR31zPQTscjI7ik3TwveJ/ENXS6mgiIiLipVQASKXaHJ8OgJ/dRou6wRansd6nix7hoN39uFVwLPn/+hDfsIbWhhIRERGv5nUtQHl5eYwdO5YGDRoQGBhIly5dWLhw4QmP++yzzxg2bBgtWrQgKCiItm3b8sADD3D06NGqD12DFBUAreuF4Gv3ul+vErKzk3j/yHIAmjkNnh32A8E6+RcRERGLed0Z2ujRo3nllVe4/vrref3117Hb7Vx22WUsW7bsuMeNGTOGzZs3M2LECN544w369+/P5MmTueCCC8jJyamm9J7NNM3iAuAM9f/zyU8Pk1K44u+dLa/C7uNncSIRERERL2sB+u233/jkk0946aWXePDBBwEYOXIkHTp04OGHH2b58uXlHjt37lx69epVYtt5553HqFGj+PDDD7nllluqMnqNcCQjj9TsAgDaefkMQFmZh5mW9BvYDFo5DfpeOM7qSCIiIiKAl90BmDt3Lna7nTFjxhRvCwgI4Oabb2bFihXs37+/3GP/efIPcOWVVwKwefPmSs9aE20qvPoPmgHoo58f5mjh1f87Wl+rq/8iIiLiMbyqAFi7di1t2rQhLKzkyWnnzp0BWLduXYVe7/DhwwBER0dXSr6abvMxBYA3twC5nA7mJK0BoLXLxiXdHrE4kYiIiMjfvKoFKD4+ntjY2FLbi7YdOnSoQq/3wgsvYLfbGTp06Amfe+TIERITE0ts27FjR4Xez9NtjndPAVo/LIA6wd57xTt9z2Ja5OVyJDCAobHdsWnBLxEREfEgXnVmkpOTg7+/f6ntAQEBxftP1kcffcR7773Hww8/TOvWrU/4/ClTpjBx4sSTD1sDbSm8A9Au1rv7/yO2fMdbCYkk233wv+JBq+OIiIiIlOBVBUBgYCB5eXmltufm5hbvPxlLly7l5ptvpl+/fjzzzDMndcydd97JNddcU2Lbjh07GDJkyEkd7+lyC5zsSsoCvLv9B6cDNs0HIKrpRVCnubV5RERERP7BqwqA2NhYDh48WGp7fHw8AA0aNDjha6xfv57BgwfToUMH5s6di4/Pyf0IY2JiiImJqVjgGmR7QiZOlwl4eQGwewlkFbZ6nXXi1jARERGR6uZVg4Dj4uLYtm0b6enpJbavWrWqeP/x7Ny5k/79+xMTE8OCBQsICQmpqqg1TokBwF48Bej0P15nTmgwab7+0G6Q1XFERERESvGqAmDo0KE4nU6mTp1avC0vL49p06bRpUsXGjduDMC+ffvYsmVLiWMPHz5M3759sdlsfP/999StW7das3u6zYfdBYCfj43m0cEWp6lejoJcjiRs4NCh1bydvYunoqN4sklrCIywOpqIiIhIKV7VAtSlSxeuueYaHn30UY4cOUKrVq2YMWMGe/bs4b333it+3siRI1myZAmmaRZv69+/P7t27eLhhx9m2bJlJVYOrlevHpdeemm1fhZPU3QHoG29UHzs3lNXZqQfZNjc/uy3F24onPu/f7P+1oUSEREROQ6vKgAAZs6cyeOPP86sWbNITU2lY8eOfP311/To0eO4x61fvx6AF198sdS+nj17enUBYJpm8RSgZ3jZDEBf/Pr03yf/hSJdJj3O+7c1gUREREROwOsKgICAAF566SVeeumlcp+zePHiUtuOvRsgJcWn5ZKWUwBAu/reMwDYdLn4NH452KGhE25udAmGYdCl3dUEBkVaHU9ExCuZpklWVhbp6enk5eXp3+8ayjAMQkJCqFOnzklPuCInTz9ROW1bDnvnCsCr17/Pbrv7H5Z/1evCNX1ftTiRiIh3M02TI0eOkJKSAoCvry82m/e0pdYmBQUFJCUlkZ2dTZMmTTAMw+pItYoKADltRe0/AGd6UQEQuPU7LszO4Y+AAIZ0e8zqOCIiXi8rK4uUlBSCgoKIjY3Fz897V6Wv6UzTJD4+nrS0NDIyMggL857zi+qgslhO26bCAcANwgMID/K1OE01yUigw7ZFvJWQyMKwzkRowS8REcsVTfOtk/+azzCM4vWT/jl9u5w+FQBy2opmAGrnRVf/WTsTXA4AIjrfbnEYEREB99Tevr6+OvmvJXx8fPDx8aGgoMDqKLWOCgA5LTn5TvYkZQHeMwNQXk4qBb8XThtb7yxo1MnaQCIiArjbRtTzX7vYbDYN5K4C+r9ETsu2hAxchf9fessA4Pd/uJurwmBxYCBm1ztBA5NERESqhAb/Vg0VAHJaitp/wDumAD2SsIFpKevY4+fL/2LqYXa81upIIiIiIhWiAkBOS1EBEOBro3l0sMVpqt7kn+8jp3C13wfP/jc2uybSEhERz7J48WIMw2Du3LlWRxEPpbMXOS2bD7unAG1bLxS7rXbfptu67Wvm5x0Gw6CXEUqXc8dYHUlERLzEybbCLFq0qIqTSG2gAkBOmWmaxXcAanv/v6Mglyd/fRzTZuBjmtzf81mrI4mIiBeZNWtWie9nzpzJwoULS20/44wz2Lx5c3VGkxpIBYCcsoNHc8jIdU+F2a5+7Z4B6J0Ft7DB5v6s1we3onmzXtYGEhERrzJixIgS369cuZKFCxeW2g6oAJAT0hgAOWWbDv09ALg23wHYuHkeU1PXAdDSaXD35TOsDSQiInISXC4XzzzzDI0aNSIgIIA+ffqwY8eOUs9btWoV/fv3Jzw8nKCgIHr27Mmvv/5a6nlr165lwIABhIWFERISQp8+fVi5cmV1fBSpZLoDIKds/YGjgHsWzDMb1LICYN1HsO17wGTa0TU4/N2tP891exr/gHCr04mIiJzQ888/j81m48EHHyQtLY0XX3yR66+/nlWrVhU/5+eff2bAgAGcd955TJgwAZvNxrRp07j44otZunQpnTt3BmDjxo1cdNFFhIWF8fDDD+Pr68vbb79Nr169WLJkCV26dLHqY8opUAEgp2zd/qMAtI4JITTA19owlSh5x0LqzL+j+PbYs0CjOuGENOvFGe2GWJhMRETk5OXm5rJu3brilZHr1KnDvffey4YNG+jQoQOmaXL77bfTu3dvvv322+KBxrfddhvt27dn/Pjx/PDDDwCMHz+egoICli1bRosWLQAYOXIkbdu25eGHH2bJkiXWfEg5JSoA5JS4XCZ/7k8DIK5xhLVhKpHTkc+dSx/CJ7Ye41LTaR/aFD/gvsadYeCrVscTEZFTNPGrjSVaV610ZoMwJlzevsrf58Ybbyw++Qe46KKLANi1axcdOnRg3bp1bN++nfHjx5OcnFzi2D59+jBr1ixcLhemafLDDz8wZMiQ4pN/gNjYWIYPH84777xDeno6YWG1rBugFlMBIKdkZ2ImGXnuQbHnNKljcZrK8/miR9hkc0KAP4va9qL9lZ9YHUlERCrBpkPprNqdYnWMatWkSZMS39ep4/73OjU1FYDt27cDMGrUqHJfIy0tjby8PLKzs2nbtm2p/WeccQYul4v9+/fTvn3VFzVSOVQAyClZu+9o8ePacgcgLW0fbxz4AWwG9Z0mN/ebYnUkERGpJJ40Vq26stjt9jK3m6YJuAcJA7z00kvExcWV+dyQkBDy8vKqJJ9YRwWAnJK1hf3/QX522tSrHVOATvn+DlKLVvltPYzAoEiLE4mISGWpjpabmqZly5YAhIWFcckll5T7vLp16xIUFMTWrVtL7duyZQs2m43GjRtXWU6pfJoGVE5J0QDgjo3Ca8UKwNt2fMvs7L0AdDb96XvhYxYnEhERqVrnnXceLVu25OWXXyYzM7PU/sTERMB9J6Fv37588cUX7Nmzp3h/QkICH330Ed27d1f/fw2jOwBSYdn5DrYedg+kimtc8/v/TZeL55Y9jtMwsJsmj3SfhGFTbSwiIrWbzWbj3XffZcCAAbRv354bb7yRhg0bcvDgQRYtWkRYWBhfffUVAJMmTWLhwoV0796dO++8Ex8fH95++23y8vJ48cUXLf4kUlEqAKTC/jyQhsvdPlgr+v+/X/Y0qw13f+O/gprTulV/ixOJiIhUj169erFixQqefvppJk+eTGZmJvXr16dLly7cdtttxc9r3749S5cu5dFHH+W5557D5XLRpUsXPvjgA60BUAOpAJAKK2r/ATinSYRlOU7L3uUQ/yemaTJ1+xzwMajjMrlTA39FRKQGmDx5MpMnTy5zX69evYoH+h6rWbNmZW6Pi4tj3rx5J3zPc845h++++67iYcXjqACQCltXOANQg/AA6oUFWBvmFBTsW4Xv9IFgujCAd2023qgTwdlnDCUsXIOYREREpHZTASAVVnQHIK6GXv2/Z9E9hETX4Y6jabQocBDpcvFkxDlw8QtWRxMRERGpcioApELi03I4nJ4L1Mz+/7V/fsAysiEkmPCotowf/CEYNggIB6Pmz2YkIiIiciIqAKRC1h2zAFhNXAH4f2tfB8DPNLm194uguf5FRETEy2iuQ6mQovYfu82gQ4Nwa8NU0O9r32MV7rsX1wa3oF69syxOJCIiIlL9VABIhRStANyufiiBfmUvMe6J8vMyeHWde7aEAJfJzb3U7y8iIiLeSQWAnDSH08VfB9KAmtX/73I6GD9nEH/ZHABcF9qa6LpnWJxKRERExBoqAOSkbU3IIKfACdSs/v/X51/Lt84UAOJMX+4c+L7FiURERESsowJATtqxC4DViDsA2Smkf3UP36VuBqCZE/7vinkEBNac4kVERESksmkWIDlpawtnAAoN8KFFdLC1YY7HNOH3d2HRM4TlpPKB3cbj9WIZf9n7RNRpbnU6EREREUupAJCTVrwAWOMIbDbPnTP/r+/u56xVf7f51G18IW8NehWiW1uYSkRERMQzqACQk5KeW8DOxEwAzvHg9p8vfx7HY0d+5PrIOjzkCMI+4AVoN0iLfImIiIgU0hgAOSl/7k/DNN2P45pEWJqlPKvXTWfCvi8B+Co0hISh78IZl+vkX0REaoXp06djGEa5XytXrrQ6Ypni4+N55JFH6N27N6GhoRiGweLFi62O5dV0B0BOytp9qcWPz24UYV2QciQe2ch/1r6Mw2bgY5q8ds4DNGjSzepYIiIile6pp56iefPSY9patWplQZoT27p1Ky+88AKtW7fmrLPOYsWKFVZH8noqAOSkFPX/N40KIirE39ow/2C6XDz13a0cLRyXMKHJIDrF3WhxKhERkaoxYMAAzj//fKtjnLTzzjuP5ORkIiMjmTt3Ltdcc43VkbyeWoDkhAqcLn7b7Z5H/zwPnP//m18msNjMAGCAPZIhFz9vcSIRERHrTJgwAZvNxk8//VRi+5gxY/Dz82P9+vUALF68GMMwmD17NuPGjaN+/foEBwczePBg9u/ff9z3mDt3LoZhsGTJklL73n77bQzDYMOGDQCEhoYSGRlZSZ9OKoMKADmhP/amkpHnXkW3R5u6FqcpKSlxM8/t/hyASJfJo5dpkS8REand0tLSSEpKKvGVnJxcvH/8+PHExcVx8803k5HhvkD2/fff88477/DEE09w9tlnl3i9Z555hm+++YaxY8dyzz33sHDhQi655BJycnLKzTBw4EBCQkL49NNPS+2bPXs27du3p0OHDpX0iaWyqQCQE1q8NRFwj6W9qHW0xWmOcXANj351HemFrT+Pt76eOpEtLQ4lIiJStS655BLq1q1b4qthw4bF+319fZk5cybx8fHcf//9HD16lJtvvpnzzz+fRx55pNTrpaSksGzZMv7zn//w3HPPMXPmTLZt28Y777xTbobAwEAuv/xy5s6di9PpLN5++PBhlixZwrBhwyr3Q0ul0hgAOaEl29wFQMeG4Z7R/1+QCz8+Cb+9zdVBAayMiWaAPZJLuj9qdTIREfFU3z4Ch/+yOoVb/bNgwKm3q/7vf/+jTZs2JbbZ7fYS33fo0IGJEyfy6KOP8ueff5KUlMQPP/yAj0/pU7+RI0cSGhpa/P3QoUOJjY1lwYIF3HPPPeXmGDZsGB9//DGLFy+mT58+gLs1yOVyqQDwcCoA5LgS0nPZHJ8OQM+2MRanwb3K7xf/hg1zAeiXU0BeZBcG9H3V4mAiIuLRDv8Fe5dZnaJSdO7c+aQGAT/00EN88skn/Pbbbzz77LOceeaZZT6vdeuSC2UahkGrVq3Ys2fPcV+/f//+hIeHM3v27OICYPbs2cTFxZUqUMSzqACQ41pS2P4D0Kut9f3/P/w0lvZbPqchQINzMK58myvqtrU6loiIeLr6Z1md4G/VlGXXrl1s374dgL/+qvy7H/7+/gwZMoTPP/+cKVOmkJCQwK+//sqzzz5b6e8llUsFgBxXUftPRJCv5fP//7lxNmMPLCCoQX1eyoJu18+FYA8akyAiIp7rNFpuaiKXy8Xo0aMJCwvjvvvu49lnn2Xo0KFcddVVpZ5bVCQUMU2THTt20LFjxxO+z7Bhw5gxYwY//fQTmzdvxjRNtf/UABoELOVyOF0s3e4uAC5qXRe7zboVdTdu+Yz7Vz2NwzDIttkI6j1eJ/8iIiLleOWVV1i+fDlTp07l6aefplu3btxxxx0kJSWVeu7MmTOLZwsCdx9/fHw8AwYMOOH7XHLJJURGRjJ79mxmz55N586dy1ykTDyL7gBIudbuP0p6rnv6z14WTf9ZUJDN1K9v5p20v3Da3QXIA/W6E9dhuCV5RERErPbtt9+yZcuWUtu7detGixYt2Lx5M48//jijR4/m8ssvB2D69OnExcVx5513lpq6MzIyku7du3PjjTeSkJDAa6+9RqtWrbj11ltPmMXX15errrqKTz75hKysLF5++eUynzdp0iQANm7cCMCsWbNYtsw9JmP8+PEn/+GlUqgAkHIt3nqk+LEV8/9v3/Edjy19hM02JxgGPqbJvyPP4/p+U6o9i4iIiKd44oknytw+bdo0mjZtyqhRo4iOjua1114r3te6dWuee+457r33Xj799FOuvfba4n3jxo3jzz//5LnnniMjI4M+ffowZcoUgoKCTirPsGHDePfddzEMo8TrHuvxxx8v8f377/+9bo8KgOqnAkDKVdT/36FhGHVDq2/6T9ORz7Rvb2dy8m8UFLYdtXbZeLbb07RrO7jacoiIiHiS0aNHM3r06BM+77fffitz+z333FPmtJ4+Pj48++yzpzx495JLLsE0zeM+50T7pXqpAJAyHcnIZcNB9/SfvdpU0/Sfh9bC2g8wNn7OlmAoCAnGZprcHHYGtw98Hz//0BO/hoiIiIgclwoAKdMv2/4eJFQt039unA9zRgPuKwSP5dpICgjh3q7jObu9ZhMQERERqSwqAKRMRe0/YQE+xDWOqNL3SkrczAtLH+EBu436LqBFL8I7Xsv7Zw4B34AqfW8RERERb6MCQEpxuswS03/62KtutljT5WLitzezONCXZY1i+TzuYeqfM6rK3k9ERETcevXqpd58L6V1AKSUdfuPcjS7AICeVdz+8/WSx1lsuucevsg3Wif/IiIiIlVMBYCUUtT+A1U7//8vq17lmT1fABDlNBk3cHqVvZeIiIiIuKkFSEpZUjj//xmxYcSEVX4PvsvpYOrXo5mSug6zcJrPCWeMJqKOVg4UERERqWoqAKSE5Mw8/jyYBlTN7D9ZmYcZ9/nV/OxKB8Mg0GXybOvr6X3Bg5X+XiIiIiJSmgoAKWHemgMUjQeq9PafpB288PlQfvZzAtDECa/3fIVWLftW7vuIiIiISLlUAEixfIeL95ftAaBVTAidmkVW3ovvWwUfXsM9BRn82rA+bXzCef7qTwkPb1J57yEiIiIiJ6QCQIp9/echDqfnAnDrRc2xFfbnn7aMw/DpDZCXRjQwq9Fg6vV5GruPX+W8voiIiIicNBUAAoBpmkz9ZRcA0SH+DDmnYaW8bkF+Nn9++i/Oy0xwbxj4Cg063Vwpry0iIiIiFacCQABYuj2JLYfd8/HfeGEz/H3sp/xah+PXsnzjh7hMF78fWcO39iTuiAjjtuZXYNPJv4iIiIiltA6AAPDOUvfV/yA/O9d3OfW+/JV/vM3g725gwsHvmXhoIQscyZiGweLwKAr6PVNZcUVERLzO9OnTMQyj3K+VK1daHbFMP/30EzfddBNt2rQhKCiIFi1acMsttxAfH291NK+lOwDCpkPpLN2eBMC15zcmIujUevN/+vV5Htr+AQX/GDsQ4zR5pd9U/APCTzuriIiIt3vqqado3rz02jmtWrWyIM2JjR07lpSUFK655hpat27Nrl27mDx5Ml9//TXr1q2jfv36Vkf0OioAhHcLr/7bDLi5+6ktxjX/p7FM2P8NLsPAxzR5qukQOp95LQCRka3w9Q2qtLwiIiLebMCAAZx//vlWxzhpr7zyCt27d8dm+7vxpH///vTs2ZPJkyczadIkC9N5J7UAeblDR3P4cv0hAC47K5bGkadwor5iCol/foTLMAhwmfzfmbdxee9J1KvXkXr1OurkX0REpBpNmDABm83GTz/9VGL7mDFj8PPzY/369QAsXrwYwzCYPXs248aNo379+gQHBzN48GD2799/3PeYO3cuhmGwZMn/t3fvUVGV6x/AvwMDw90RHQQSUS6KgkYdgTQTzGugSYaiZYqX9KSlpqTiz0seUDQLXWGaUgHSxQtm5iXDEj1lCbqUQ6eDF7xyFEVUEAIHYd7fH8YcxwHBgYFwfz9rzVrOs/e753nnEdjP7Msc0lu2YcMGyGQy/Pvf/wYA9O3bV2fnvzpmb2+PnJychkyVDMQjABKX9MsFVGruffPXlL5u9Rpz9ux+5F45grZmNvhb0XXgyEeYDKDCzAK9+y7BUz3GGjFjIiIiaSsuLkZhYaFOTCaToU2bNgCAhQsXYteuXZg0aRJ+++032Nra4vvvv0dCQgKio6Px5JNP6oxdtmwZZDIZ5s2bh4KCAqxZswYDBgxAVlYWLC0ta8whJCQENjY22Lp1KwIDA3WWbdmyBd7e3vDx8al1DqWlpSgtLUXbtm0NeQuogSR3BECtVmPevHlwdnaGpaUlAgICsH///nqNvXz5MkaNGgWlUgk7OzsMHz4c586dM3LGxnP7zl18mXEJAPCMmz16tFc+dP1//2cb3trUG6E/z0bkua1IOPERcOQjAIDM2gHTw77mzj8REZGRDRgwACqVSufxxBP/u323mZkZNm3ahPz8fMyePRtFRUWYNGkSevbsifnz5+tt7+bNm/j555/x9ttvIzY2Fps2bcLp06eRkJBQaw6WlpYYNmwYUlNTUVVVpY1fvXoVhw4dQnh4+EPnsGbNGlRUVNS5HhmH5I4AREREIDU1FbNmzYKnpyeSkpIQHByM9PR09OnTp9ZxpaWl6NevH4qLi7FgwQKYmZlh9erVCAwMRFZWlrbrbimEEFiXfhal6koANX/6v+fgYqw69zVu/tkmClktXwxm7wa8mgq0cTdWukRERA32Te432Jm786HreNl7YZ7/PO3zkzdPYmXmyjq3nTgkUef5hH0TalxvuMdwhHqE1p3sQ3z00Ufo3LmzTszUVPf23T4+Pli6dCmioqKQnZ2NwsJCpKWlQS7X3/UbN24cbG1ttc/DwsLg5OSEvXv3YsaMGbXmER4ejq+++goHDx5E//79Adw7NUij0Tx0x/6f//wnli5dilGjRuH555+v15ypcUmqAcjMzMTmzZuxatUqREZGArj3n97Hxwdz587FL7/8UuvYdevW4cyZM8jMzISfnx+Aexfh+Pj44IMPPsDy5cubZA6N4fadu4ja/hv2/Hbv9lseDjYI6uygs84vP69A1IWvIUx1d/rlQiDU4gmEPTkFra1UgKUD0NYTMDH8ewOIiIiawpXSKzh27dgjjSmpKHnkMQBqHePn6PfI23qQv79/vS4Cfuedd7B582ZkZmZi+fLl6NatW43reXp66jyXyWTw8PDAhQsXHrr9IUOGoFWrVtiyZYu2AdiyZQt8fX31GpRqJ0+exEsvvQQfHx988skndc6BjENSDUBqaipMTU0xZcoUbczCwgKTJk3CggULkJeXBxcXl1rH+vn5aXf+AcDLywv9+/fH1q1bW0wD8O/LxZj+5XFcvFEGAHBqZYE14b4oL7uGC5cOw9vOFbj6G5468B6ecbBHlsICr9p5wdREDiu5FV7423Q4Of+tmWdBRET06JxtnNGz3cN3nL3svXSe25rb1jmmJrWNcbZxfuRtGercuXM4c+YMAOC3335r9O0rFAqEhoZix44dWLduHa5du4bDhw/Xuk+Ul5eHQYMGoVWrVti7d6/OUQdqWpJqAE6cOIHOnTvDzs5OJ+7v7w8AyMrKqrEB0Gg0yM7OxsSJE/WW+fv7Iy0tDSUlJX/p/8hCCKQcuYiY3TmoqNIAAPp1USFmaHvs/fUtTLlxHBoIHLn4XwCAJYD4wlKcGx6Nrt3HNGPmREREjSPUI/SRT7/xsvfSO72nPgwZ05g0Gg0iIiJgZ2eHWbNmYfny5QgLC8OIESP01q1uEqoJIZCbm4sePXrU+Trh4eFITk7Gjz/+iJycHAghajz958aNGxg0aBDUajV+/PFHODk5GT45ajBJNQD5+fk1/oerjl25cqXGcTdv3oRara5zbJcuXWp97YKCAly/fl0nlpubW+/cG6L08n9wLWUy9rT6A94u9+74Yy43QSVM8MruCtw0kQEmMlj/eTcgAIDcEopXNqOrW1CT5EhERESNJy4uDr/88gu+/fZbhISE4ODBg3jjjTfQt29fvTvvbNq0CVFRUdoPMlNTU5Gfn4958+bVtGkdAwYMgL29PbZs2YKcnBz4+/vrfUnZH3/8geDgYFy+fBnp6el6pxxR05NUA1BeXg6FQqEXt7Cw0C6vbRwAg8ZWW7duHZYuXfpI+TaW/Vnn8dKd33GxXXv8ob0Pb9Wfj3vn+HtqTBDR8UWgT9C9xc5PA9Yt68JmIiIiKfjuu+9w8uRJvXjv3r3h5uaGnJwcLFq0CBERERg2bBgAICkpCb6+vpg2bRq2bt2qM87e3h59+vTBhAkTcO3aNaxZswYeHh54/fXX68zFzMwMI0aMwObNm/HHH3/g/fff11vn1VdfRWZmJiZOnIicnByde//b2NggNDT0Ed8BaihJNQCWlpZQq9V68Tt37miX1zYOgEFjq02bNg0jR47UieXm5jbJf/oX/bvgt+yn4FVRArnCBLL77uajkJlisEt/BD+3BKZyM6PnQkRERA2zePHiGuOJiYlwdXXF+PHj0bZtW6xZs0a7zNPTE7GxsZg5cya2bt2KUaNGaZctWLAA2dnZiI2NRUlJCfr3749169bByqp+X+QZHh6OTz75BDKZTGe71bKysgAAn332GT777DOdZa6urmwAmoGkGgAnJydcvnxZL56ff+9uOM7ONV+YY29vD4VCoV3vUcZWc3BwgIODw0PXMRZTlQc6zf4Bn5mZwsSkllt5EhER0V9aREQEIiIi6lwvMzOzxviMGTNqvK2nXC7H8uXLDb6hyYABAyCEqHV5XXcToqYnqS8C8/X1xenTp3H79m2deEZGhnZ5TUxMTNC9e3ccO6Z/S6+MjAy4ubn9pS8ABgAbhZw7/0REREQkrQYgLCwMVVVV2LhxozamVquRmJiIgIAA7R2ALl26pHduXVhYGI4eParTBJw6dQoHDhzQO7WHiIiIiOivSlKnAAUEBGDkyJGIiopCQUEBPDw8kJycjAsXLuDTTz/Vrjdu3DgcOnRI53DWtGnTkJCQgJCQEERGRsLMzAxxcXFo164d5syZ0xzTISIiIiJ6ZJJqAIB7t7patGgRUlJScOvWLfTo0QO7d+9G3759HzrO1tYWBw8exNtvv42YmBhoNBoEBQVh9erVUKlUTZQ9ERERUeMICgp66Ln79PiSXANgYWGBVatWYdWqVbWuc/DgwRrj7du3x7Zt24yUGRERERGR8UnqGgAiIiIiajl4hMI42AAQERHRY0Emk6GyspI7jY8JIQSqqqpgYsLd1cbGd5SIiIgeCzY2NqiqqkJ+fj4qKyubOx1qACEECgoKUFVVBYVC0dzpPHYkdw0AERERPZ5at26NsrIyFBcXo7i4GHK5HCYmJpDJ+D04LUn1J/9VVVWwtLREu3btmjulxw4bACIiInosyOVydOjQASUlJbh9+zbu3r3L04FaIJlMBnNzcygUCrRr146nABkBGwAiIiJ6bMhkMtjZ2cHOzq65UyH6y2JLRUREREQkIWwAiIiIiIgkhA0AEREREZGEsAEgIiIiIpIQNgBERERERBLCBoCIiIiISEJ4G9BmpFarAQC5ubnNnAkRERFRy1O9D1W9T0X1wwagGeXl5QEAQkNDmzcRIiIiohYsLy8PTz/9dHOn0WLIBL8ir9kUFRXh0KFDcHFxgUKhMOpr5ebmIjQ0FN988w08PDyM+lrUcKxXy8J6tTysWcvCerUsTVkvtVqNvLw8BAYGQqlUGvW1Hic8AtCMlEolhg8f3qSv6eHhAW9v7yZ9TTIc69WysF4tD2vWsrBeLUtT1Yuf/D86XgRMRERERCQhbACIiIiIiCSEDQARERERkYSwAZAIlUqFJUuWQKVSNXcqVA+sV8vCerU8rFnLwnq1LKzXXx/vAkREREREJCE8AkBEREREJCFsAIiIiIiIJIQNABERERGRhLABICIiIiKSEDYALZxarca8efPg7OwMS0tLBAQEYP/+/fUae/nyZYwaNQpKpRJ2dnYYPnw4zp07Z+SMpc3Qen399dcIDw+Hm5sbrKys0KVLF8yZMwdFRUXGT1rCGvLzdb+BAwdCJpPhzTffNEKWdL+G1mzLli3o1asXrK2toVQq0bt3bxw4cMCIGUtbQ+r1ww8/oF+/fmjbti2USiX8/f2RkpJi5IylrbS0FEuWLMGQIUNgb28PmUyGpKSkeo8vKirClClToFKpYG1tjX79+uH48ePGS5hqJ6hFGz16tJDL5SIyMlJs2LBB9OrVS8jlcvHTTz89dFxJSYnw9PQUDg4OYuXKlSIuLk64uLiI9u3bi8LCwibKXnoMrVebNm1E9+7dxaJFi0RCQoKYMWOGMDc3F15eXqKsrKyJspceQ+t1v+3btwtra2sBQEyfPt2I2ZIQDavZkiVLhEwmEyNHjhQff/yxiI+PF1OnThWbNm1qgsylydB67dy5U8hkMtG7d28RHx8v1q5dK/r27SsAiLi4uCbKXnrOnz8vAIgOHTqIoKAgAUAkJibWa2xVVZXo3bu3sLa2Fu+++65Yu3at6Natm7C1tRWnT582buKkhw1AC5aRkSEAiFWrVmlj5eXlwt3dXfTq1euhY1euXCkAiMzMTG0sJydHmJqaiqioKKPlLGUNqVd6erpeLDk5WQAQCQkJjZ0qiYbV6/71O3bsKP7xj3+wAWgCDanZr7/+KmQyGXcem1BD6jVw4EDh7Ows7ty5o43dvXtXuLu7ix49ehgtZ6m7c+eOyM/PF0IIcfTo0UdqALZs2SIAiG3btmljBQUFQqlUijFjxhgjXXoIngLUgqWmpsLU1BRTpkzRxiwsLDBp0iT8+uuvyMvLe+hYPz8/+Pn5aWNeXl7o378/tm7datS8paoh9QoKCtKLvfTSSwCAnJycRs+VGlavau+99x40Gg0iIyONmSr9qSE1W7NmDRwdHTFz5kwIIVBaWtoUKUtaQ+p1+/ZttG7dGgqFQhuTy+Vo27YtLC0tjZq3lCkUCjg6Oho0NjU1Fe3atcOIESO0MZVKhVGjRmHnzp1Qq9WNlSbVAxuAFuzEiRPo3Lkz7OzsdOL+/v4AgKysrBrHaTQaZGdno2fPnnrL/P39cfbsWZSUlDR6vlJnaL1qc/XqVQBA27ZtGyU/0tXQel26dAkrVqzAypUruUPSRBpSsx9//BF+fn748MMPoVKpYGtrCycnJ6xdu9aYKUtaQ+oVFBSE33//HYsWLUJubi7Onj2L6OhoHDt2DHPnzjVm2mSgEydO4Omnn4aJie6up7+/P8rKynD69Olmykya5M2dABkuPz8fTk5OevHq2JUrV2ocd/PmTajV6jrHdunSpRGzJUPrVZuVK1fC1NQUYWFhjZIf6WpovebMmYOnnnoKo0ePNkp+pM/Qmt26dQuFhYU4fPgwDhw4gCVLlqBDhw5ITEzEW2+9BTMzM0ydOtWouUtRQ37GFi1ahPPnz2PZsmWIiYkBAFhZWWH79u0YPny4cRKmBsnPz0ffvn314vfXu3v37k2dlmSxAWjBysvLdQ5/VrOwsNAur20cAIPGkuEMrVdNvvzyS3z66aeYO3cuPD09Gy1H+p+G1Cs9PR3bt29HRkaG0fIjfYbWrPp0nxs3bmDz5s0IDw8HAISFhaF79+6IiYlhA2AEDfkZUygU6Ny5M8LCwjBixAhUVVVh48aNGDt2LPbv349nnnnGaHmTYRrzbyA1HBuAFszS0rLGc+bu3LmjXV7bOAAGjSXDGVqvB/3000+YNGkSBg8ejGXLljVqjvQ/htarsrISM2bMwGuvvaZzjQ0ZX0N/J5qZmekcUTMxMUF4eDiWLFmCS5cuoUOHDkbIWroa8jvxzTffxJEjR3D8+HHtKSWjRo2Ct7c3Zs6cyeb7L6ix/gZS4+A1AC2Yk5MT8vPz9eLVMWdn5xrH2dvbQ6FQGDSWDGdove73r3/9Cy+++CJ8fHyQmpoKuZw9vLEYWq9Nmzbh1KlTmDp1Ki5cuKB9AEBJSQkuXLiAsrIyo+UtZQ35nWhhYYE2bdrA1NRUZ5mDgwOAe6cJUeMytF4VFRX49NNPERISonM+uZmZGV544QUcO3YMFRUVxkmaDNYYfwOp8bABaMF8fX1x+vRp3L59Wyde/cmHr69vjeNMTEzQvXt3HDt2TG9ZRkYG3NzcYGtr2+j5Sp2h9ap29uxZDBkyBA4ODti7dy9sbGyMlSrB8HpdunQJd+/exbPPPotOnTppH8C95qBTp05IS0szau5S1ZDfib6+vrh+/brejmP1eegqlarxE5Y4Q+t148YNVFZWoqqqSm/Z3bt3odFoalxGzcvX1xfHjx+HRqPRiWdkZMDKygqdO3dupsykiQ1ACxYWFqY977GaWq1GYmIiAgIC4OLiAuDeDsnJkyf1xh49elSnCTh16hQOHDiAkSNHNs0EJKYh9bp69SoGDRoEExMTfP/999wZaQKG1mv06NHYsWOH3gMAgoODsWPHDgQEBDTtZCSiIT9j4eHhqKqqQnJysjZ2584dfPHFF+jWrRs/nTQCQ+vl4OAApVKJHTt26DRspaWl2LVrF7y8vHg6STPLz8/HyZMncffuXW0sLCwM165dw9dff62NFRYWYtu2bRg2bFiN1weQETX3FxFQw4wcOVLI5XLxzjvviA0bNojevXsLuVwuDh06pF0nMDBQPFjq27dvC3d3d+Hg4CDee+89sXr1auHi4iKcnZ1FQUFBU09DMgyt15NPPikAiLlz54qUlBSdR1paWlNPQzIMrVdNwC8CaxKG1qysrEx4e3sLMzMzERkZKT788EPh5+cnTE1Nxd69e5t6GpJhaL1iYmIEAPHUU0+J1atXi/fff1907dpVABCff/55U09DUuLj40V0dLR44403BAAxYsQIER0dLaKjo0VRUZEQQojx48cLAOL8+fPacZWVleKZZ54RNjY2YunSpeKjjz4S3t7ewtbWVpw8ebKZZiNdbABauPLychEZGSkcHR2FQqEQfn5+Yt++fTrr1LaDkpeXJ8LCwoSdnZ2wsbERQ4cOFWfOnGmq1CXJ0HoBqPURGBjYhDOQlob8fD2IDUDTaEjNrl27JsaPHy/s7e2FQqEQAQEBemOpcTWkXl988YXw9/cXSqVSWFpaioCAAJGamtpUqUuWq6trrX+Pqnf4a2oAhBDi5s2bYtKkSaJNmzbCyspKBAYGiqNHjzb9JEjIhBCiCQ40EBERERHRXwCvASAiIiIikhA2AEREREREEsIGgIiIiIhIQtgAEBERERFJCBsAIiIiIiIJYQNARERERCQhbACIiIiIiCSEDQARERERkYSwASAiIiIikhA2AEREREREEsIGgIjoMRQUFISgoCDt8wsXLkAmkyEpKalJ84iIiEDHjh2b9DUf1LFjR0RERGifHzx4EDKZDAcPHmy2nIiImhMbACKSpKSkJMhkMlhYWODy5ct6y4OCguDj49MMmRERERmXvLkTICJqTmq1GitWrEB8fHxzp2JUrq6uKC8vh5mZWXOn0uz69u2L8vJymJubN3cqRETNgkcAiEjSfH19kZCQgCtXrhjtNYQQKC8vN9r266P6aIepqWmz5lFfxnzPTExMYGFhARMT/gkkImnibz8ikrQFCxagqqoKK1asqHPdyspKREdHw93dHQqFAh07dsSCBQugVqt11uvYsSOGDh2K77//Hj179oSlpSU2bNigPfd869atWLp0KZ544gnY2toiLCwMxcXFUKvVmDVrFhwcHGBjY4MJEybobTsxMRHPP/88HBwcoFAo0K1bN6xfv77O3B+8BqA6l5oeD56z/9133+G5556DtbU1bG1tERISgt9//13vNb755hv4+PjAwsICPj4+2LFjR5151fWePcqchRCIiYlB+/btYWVlhX79+tWYZ03XADx4nUC1B6+lAID4+Hh4e3vDysoKrVu3Rs+ePfHll1/We65ERM2NpwARkaR16tQJ48aNQ0JCAubPnw9nZ+da1508eTKSk5MRFhaGOXPmICMjA7GxscjJydHb2T116hTGjBmDqVOn4vXXX0eXLl20y2JjY2FpaYn58+cjNzcX8fHxMDMzg4mJCW7duoV3330XR44cQVJSEjp16oTFixdrx65fvx7e3t548cUXIZfLsWvXLkybNg0ajQbTp0+v97y7du2KlJQUnVhRURFmz54NBwcHbSwlJQXjx4/H4MGDsXLlSpSVlWH9+vXo06cPTpw4oW0W0tLS8PLLL6Nbt26IjY3FjRs3MGHCBLRv377eOdX2ntV3zosXL0ZMTAyCg4MRHByM48ePY9CgQaioqKh3DnVJSEjAjBkzEBYWhpkzZ+LOnTvIzs5GRkYGXnnllUZ7HSIioxJERBKUmJgoAIijR4+Ks2fPCrlcLmbMmKFdHhgYKLy9vbXPs7KyBAAxefJkne1ERkYKAOLAgQPamKurqwAg9u3bp7Nuenq6ACB8fHxERUWFNj5mzBghk8nECy+8oLN+r169hKurq06srKxMby6DBw8Wbm5uOrHAwEARGBiofX7+/HkBQCQmJtb4fmg0GjF06FBhY2Mjfv/9dyGEECUlJUKpVIrXX39dZ92rV6+KVq1a6cR9fX2Fk5OTKCoq0sbS0tIEAL051KS290yI+s25oKBAmJubi5CQEKHRaLTxBQsWCABi/Pjx2lh1HdLT03Ve//51qj34Pg4fPlzn/wURUUvEU4CISPLc3Nzw2muvYePGjcjPz69xnb179wIAZs+erROfM2cOAGDPnj068U6dOmHw4ME1bmvcuHE6F+MGBARACIGJEyfqrBcQEIC8vDxUVlZqY5aWltp/FxcXo7CwEIGBgTh37hyKi4vrmmqtoqOjsXv3biQlJaFbt24AgP3796OoqAhjxoxBYWGh9mFqaoqAgACkp6cDAPLz85GVlYXx48ejVatW2m0OHDhQu636qO09q8+cf/jhB1RUVOCtt96CTCbTrj9r1qxHeh/qolQq8d///hdHjx5t1O0SETUlNgBERAAWLlyIysrKWq8FuHjxIkxMTODh4aETd3R0hFKpxMWLF3XinTp1qvW1OnTooPO8eqfZxcVFL67RaHR27A8fPowBAwbA2toaSqUSKpUKCxYsAACDG4B9+/Zh6dKliIqKwssvv6yNnzlzBgDw/PPPQ6VS6TzS0tJQUFAAANq5e3p66m37/lOf6lLbe1afOdeWg0qlQuvWreudQ13mzZsHGxsb+Pv7w9PTE9OnT8fhw4cbbftERE2B1wAQEeHeUYCxY8di48aNmD9/fq3r3f/p8sPc/6n1g2q7E09tcSEEAODs2bPo378/vLy8EBcXBxcXF5ibm2Pv3r1YvXo1NBpNvXK73/nz5/Hqq69i4MCBiImJ0VlWvb2UlBQ4OjrqjZXLG/dPSE3vmTHmXJPa6lpVVaVTl65du+LUqVPYvXs39u3bh+3bt2PdunVYvHgxli5d2ii5EBEZGxsAIqI/LVy4EJ9//jlWrlypt8zV1RUajQZnzpxB165dtfFr166hqKgIrq6uRs9v165dUKvV+Pbbb3WOIlSfivOoysvLMWLECCiVSnz11Vd6t8V0d3cHADg4OGDAgAG1bqd67tVHDO536tQpg3KrVt8535+Dm5ubNn79+nXcunWrztdp3bo1ioqK9OIXL17U2R4AWFtbIzw8HOHh4aioqMCIESOwbNkyREVFwcLC4lGmR0TULHgKEBHRn9zd3TF27Fhs2LABV69e1VkWHBwMAFizZo1OPC4uDgAQEhJi9PyqP4muPiIA3DsFJjEx0aDt/f3vf8fp06exY8eOGk+TGTx4MOzs7LB8+XLcvXtXb/n169cBAE5OTvD19UVycrLOaUj79+/Hf/7zH4Nyq1bfOQ8YMABmZmaIj4/XWffBetXG3d0dR44c0blj0O7du5GXl6ez3o0bN3Sem5ubo1u3bhBC1PgeERH9FfEIABHRff7v//4PKSkpOHXqFLy9vbXxJ598EuPHj8fGjRtRVFSEwMBAZGZmIjk5GaGhoejXr5/Rcxs0aBDMzc0xbNgwTJ06FaWlpUhISICDg0OtFy/XZs+ePdi0aRNefvllZGdnIzs7W7vMxsYGoaGhsLOzw/r16/Haa6/h6aefxujRo6FSqXDp0iXs2bMHzz77LNauXQvg3q1NQ0JC0KdPH0ycOBE3b97U3i+/tLTU6HNWqVSIjIxEbGwshg4diuDgYJw4cQLfffcd2rZtW+frTJ48GampqRgyZAhGjRqFs2fP4vPPP9ceBbk/H0dHRzz77LNo164dcnJysHbtWoSEhMDW1tbgeRIRNSU2AERE9/Hw8MDYsWORnJyst+yTTz6Bm5sbkpKSsGPHDjg6OiIqKgpLlixpkty6dOmC1NRULFy4EJGRkXB0dMQbb7wBlUqldwehulR/er99+3Zs375dZ5mrqytCQ0MBAK+88gqcnZ2xYsUKrFq1Cmq1Gk888QSee+45TJgwQTtmyJAh2LZtGxYuXIioqCi4u7sjMTERO3fu1PnCLWPOOSYmBhYWFvj444+Rnp6OgIAApKWl1evozODBg/HBBx8gLi4Os2bNQs+ePbF7927tXZ6qTZ06FV988QXi4uJQWlqK9u3bY8aMGVi4cKHBcyQiamoycf+xUiIiIiIieqzxGgAiIiIiIglhA0BEREREJCFsAIiIiIiIJIQNABERERGRhLABICIiIiKSEDYAREREREQSwgaAiIiIiEhC2AAQEREREUkIGwAiIiIiIglhA0BEREREJCFsAIiIiIiIJIQNABERERGRhPw/OCy/HQgd+4cAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## RESULT TO BE CHECKED, MISMATCH MAYBE DUE TO DISTINCT DEFINITION OF RADIUS p ??\n",
    "\n",
    "center=(0,0)\n",
    "\n",
    "parray1 = np.linspace(0, aperture_width, 200)\n",
    "\n",
    "enarray = [moe.metrics.encircled_energy(Exy, p) for p in parray1]\n",
    "enmax = moe.metrics.encircled_energy(Exy, 1.01)\n",
    "\n",
    "\n",
    "parray2 = np.linspace(0, aperture_width*10, 100)\n",
    "enarray_theo = [moe.metrics.theoretical_encircled_energy(Exy, p) for p in parray2]\n",
    "enmaxtheo = moe.metrics.theoretical_encircled_energy(Exy, 1.01)\n",
    "\n",
    "\n",
    "enarray2 = [moe.metrics.encircled_energy(Exy, p) for p in parray1]\n",
    "enmax2 = moe.metrics.encircled_energy(Exy, 1.01)\n",
    "\n",
    "\n",
    "fig = plt.figure() \n",
    "\n",
    "plt.plot(parray2/parray2.max(), enarray_theo/enmaxtheo, label=\"Theo\")\n",
    "plt.plot(parray1/parray1.max(), enarray/enmax, label = \"Exp v1\")\n",
    "\n",
    "plt.plot(parray1/parray1.max(), enarray2/enmax2 , '--', label =\"Exp v2\")\n",
    "\n",
    "plt.xlabel(\"Normalized radius\")\n",
    "plt.ylabel(\"Normalized energy\")\n",
    "plt.title(\"Encircled energy fraction\")\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "#This is not exactly one, because other energy is lost to the square parts of the sensor "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:57.754273Z",
     "start_time": "2025-10-09T15:20:57.561278Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:33.398615Z",
     "iopub.status.busy": "2026-03-24T18:49:33.398615Z",
     "iopub.status.idle": "2026-03-24T18:49:33.540709Z",
     "shell.execute_reply": "2026-03-24T18:49:33.537728Z",
     "shell.execute_reply.started": "2026-03-24T18:49:33.398615Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x19210c28750>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "plt.imshow(np.abs(Exy.screen[:,:,-1])**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:58.541517Z",
     "start_time": "2025-10-09T15:20:57.760279Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:33.541704Z",
     "iopub.status.busy": "2026-03-24T18:49:33.541704Z",
     "iopub.status.idle": "2026-03-24T18:49:34.043345Z",
     "shell.execute_reply": "2026-03-24T18:49:34.041359Z",
     "shell.execute_reply.started": "2026-03-24T18:49:33.541704Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 768x576 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Sanity check with theoretical Airy pattern MTF, \n",
    "# here the theoretical and calculated MTFs should give the same with unitary Strehl ratio\n",
    "\n",
    "D = np.max(Exy.x)*2        \n",
    "\n",
    "wavelength = 200e-9  # Wavelength in meters (e.g., 550 nm)\n",
    "\n",
    "intensity_circular = intensity_theo_Airy(screen, D*2, wavelength, z=1)\n",
    "\n",
    "\n",
    "fig = plt.figure() \n",
    "plt.imshow(intensity_circular  )\n",
    "plt.colorbar()\n",
    "\n",
    "OTF_circular = calculate_OTF(intensity_circular)\n",
    "\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.imshow(np.abs(OTF_circular) )\n",
    "plt.colorbar()\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "N = 512\n",
    "dx = 10e-6  # pixel pitch in meters\n",
    "dy = 10e-6\n",
    "\n",
    "\n",
    "# Plot\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(np.abs(OTF_circular), extent=(np.min(Exy.fx), np.max(Exy.fx), np.min(Exy.fy), np.max(Exy.fy)),\n",
    "           origin='lower', cmap='viridis', aspect='auto')\n",
    "plt.colorbar(label='OTF')\n",
    "plt.xlabel('f_x (cycles/mm)')\n",
    "plt.ylabel('f_y (cycles/mm)')\n",
    "plt.title('OTF')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:58.765086Z",
     "start_time": "2025-10-09T15:20:58.545519Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:34.046334Z",
     "iopub.status.busy": "2026-03-24T18:49:34.045339Z",
     "iopub.status.idle": "2026-03-24T18:49:34.203428Z",
     "shell.execute_reply": "2026-03-24T18:49:34.201440Z",
     "shell.execute_reply.started": "2026-03-24T18:49:34.046334Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1920bfa16d0>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mtf, mtfx1, mtfy1 = moe.metrics.MTF_from_OTF(OTF_circular)\n",
    "\n",
    "\n",
    "fx, fy = screen.fx*1e-3, screen.fy *1e-3\n",
    "\n",
    "fig = plt.figure() \n",
    "plt.plot(fx[np.where(fx>=0)],  mtfx1, label=\"MTF from Airy pattern in x direction\")\n",
    "plt.plot(fy[np.where(fy>=0)],  mtfy1, label=\"MTF from Airy pattern in y direction\")\n",
    "plt.xlabel(\"Spacial frequency (cycles/mm)\")\n",
    "plt.ylabel(\"MTF\")\n",
    "\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:58.797246Z",
     "start_time": "2025-10-09T15:20:58.775079Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:34.205420Z",
     "iopub.status.busy": "2026-03-24T18:49:34.205420Z",
     "iopub.status.idle": "2026-03-24T18:49:34.214431Z",
     "shell.execute_reply": "2026-03-24T18:49:34.213438Z",
     "shell.execute_reply.started": "2026-03-24T18:49:34.205420Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "otf = moe.metrics.theoretical_ideal_OTF(screen, D*2, wavelength, screen.z[-1]) \n",
    "\n",
    "mtf, mtfx2, mtfy2 = moe.metrics.MTF_from_OTF(otf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:59.061946Z",
     "start_time": "2025-10-09T15:20:58.801075Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:34.215424Z",
     "iopub.status.busy": "2026-03-24T18:49:34.215424Z",
     "iopub.status.idle": "2026-03-24T18:49:34.455191Z",
     "shell.execute_reply": "2026-03-24T18:49:34.454198Z",
     "shell.execute_reply.started": "2026-03-24T18:49:34.215424Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1920ba0ab10>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fx = screen.fx*1e-3\n",
    "fy = screen.fy*1e-3\n",
    "\n",
    "fig = plt.figure() \n",
    "plt.plot(fx[np.where(fx>=0)],  mtfx1, label=\"MTF from Airy pattern in x direction\")\n",
    "plt.plot(fy[np.where(fy>=0)],  mtfy1, label=\"MTF from Airy pattern in y direction\")\n",
    "plt.plot(fx[np.where(fx>=0)],  mtfx2, label=\"MTF from theoretical function in x direction\")\n",
    "plt.plot(fy[np.where(fy>=0)],  mtfy2, label=\"MTF from theoretical function in y direction\")\n",
    "plt.xlabel(\"Spacial frequency (cycles/mm)\")\n",
    "plt.ylabel(\"MTF\")\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-09T15:20:59.093532Z",
     "start_time": "2025-10-09T15:20:59.066951Z"
    },
    "execution": {
     "iopub.execute_input": "2026-03-24T18:49:34.456186Z",
     "iopub.status.busy": "2026-03-24T18:49:34.456186Z",
     "iopub.status.idle": "2026-03-24T18:49:34.469819Z",
     "shell.execute_reply": "2026-03-24T18:49:34.467832Z",
     "shell.execute_reply.started": "2026-03-24T18:49:34.456186Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.998781221220814"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#This should give 1 \n",
    "\n",
    "moe.metrics.strehl_ratio(intensity_circular, screen, D*2, wavelength, z = screen.z[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}