PSD_Sandro.ipynb

{
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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2020-01-03T16:10:12.370Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.6.5 |Anaconda custom (64-bit)| (default, Mar 29 2018, 13:14:23) \n",
      "[GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE_401/final)]\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "print(sys.version)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2020-01-03T16:10:12.738Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config IPython.matplotlib.backend = \"retina\"\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import rcParams\n",
    "matplotlib.rcParams.update({'font.size': 6})\n",
    "%config InlineBackend.rc = {}\n",
    "rcParams[\"savefig.dpi\"] = 300\n",
    "rcParams[\"figure.dpi\"] = 300\n",
    "\n",
    "#from celerite import plot_setup\n",
    "#plot_setup.setup()\n",
    "\n",
    "%load_ext autoreload\n",
    "%reload_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2020-01-03T16:10:13.074Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "try {\n",
       "  require(['base/js/utils'], function (utils) {\n",
       "    utils.load_extension('code_prettify/code_prettify');\n",
       "    utils.load_extension('collapsible_headings/main'); \n",
       "    utils.load_extension('codefolding/edit'); \n",
       "    utils.load_extension('codefolding/main'); \n",
       "    utils.load_extension('execute_time/ExecuteTime');   \n",
       "    utils.load_extension('toc2/main'); \n",
       "  });\n",
       "}\n",
       "catch (err) {\n",
       "  console.log('toc2 load error:', err);\n",
       "}"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%javascript\n",
    "try {\n",
    "  require(['base/js/utils'], function (utils) {\n",
    "    utils.load_extension('code_prettify/code_prettify');\n",
    "    utils.load_extension('collapsible_headings/main'); \n",
    "    utils.load_extension('codefolding/edit'); \n",
    "    utils.load_extension('codefolding/main'); \n",
    "    utils.load_extension('execute_time/ExecuteTime');   \n",
    "    utils.load_extension('toc2/main'); \n",
    "  });\n",
    "}\n",
    "catch (err) {\n",
    "  console.log('toc2 load error:', err);\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2020-01-03T16:10:14.418Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>.container { width:100% !important; }</style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make notebook nice and wide to fill the entire screen\n",
    "from IPython.core.display import display, HTML\n",
    "display(HTML(\"<style>.container { width:100% !important; }</style>\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-03T16:10:56.689763Z",
     "start_time": "2020-01-03T16:10:56.635095Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-03T16:10:57.803773Z",
     "start_time": "2020-01-03T16:10:57.773151Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def bootstrap_resample(X, n=None):\n",
    "    \"\"\"! Returns bootstrap resample of an array\n",
    "    taken from http://fab.cba.mit.edu/classes/864.14/students/Royall_Emily/svdmatrix.py\n",
    "    \n",
    "    @param[in] X         array to resample\n",
    "    @param[in]           length of resampled array, equal to length of input array if left at None\n",
    "    \"\"\"\n",
    "    if n == None:\n",
    "        n = len(X)\n",
    "        \n",
    "    resample_i = np.floor(np.random.rand(n)*len(X)).astype(int)\n",
    "    X_resample = X[resample_i]\n",
    "    return X_resample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-03T16:11:00.838343Z",
     "start_time": "2020-01-03T16:11:00.805603Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "f = open(\"/Users/nevencaplar/Documents/Variability/Lia_Data/Sandro/run_script_ex_Sandro.sh\", \"r\")\n",
    "run_script_ex=f.read()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-03T16:11:01.804591Z",
     "start_time": "2020-01-03T16:11:01.773103Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3153600000000\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "3.1709791983764586e-15"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# which t_bin we want\n",
    "# 0.1 Myr\n",
    "\n",
    "tbin_in=3600*24*365*10**5\n",
    "print(tbin_in)\n",
    "\n",
    "# how long we go\n",
    "# we want to have enough points for 10 Gyr\n",
    "(10*10**9)/(0.1*10**6)\n",
    "# that is 10**5 points\n",
    "# in units of 2 \n",
    "2**17\n",
    "# we bump it up to 2**20\n",
    "\n",
    "# inverse frequency of 10 Myr\n",
    "1/(3600*24*365*10**7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-03T16:11:06.804487Z",
     "start_time": "2020-01-03T16:11:06.774571Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.341958396752918e-17"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1/(3600*24*365*500*10**6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-03T16:24:29.602714Z",
     "start_time": "2020-01-03T16:24:29.524916Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "f = open(\"/Users/nevencaplar/Documents/Variability/Lia_Data/Sandro/run_script_ex_Sandro.sh\", \"r\")\n",
    "run_script_ex=f.read()\n",
    "\n",
    "alpha_low_values=[0,1,2,3,4]\n",
    "alpha_high_values=[0,1,2,3,4]\n",
    "#  50 Myr, 100 Myr,500 Myr, 1000 Myr, 5000 Myr, 10000 Myr\n",
    "v_bend_values=[6.34e-16,3.171e-16,6.34e-17,3.171e-17,6.34e-18,3.171e-18]\n",
    "\n",
    "for alpha_low_in in range(len(alpha_low_values)):\n",
    "    for alpha_high_in in range(len(alpha_high_values)):\n",
    "        for v_bend_in in range(len(v_bend_values)):\n",
    "            if alpha_low_in>alpha_high_in:\n",
    "                pass\n",
    "            else:\n",
    "                run_script_ex_changed=run_script_ex.replace(\"a_high_in=2.0\", \"a_high_in=\"+str(alpha_high_values[alpha_high_in]))\n",
    "                run_script_ex_changed=run_script_ex_changed.replace(\"a_low_in=0.0\", \"a_low_in=\"+str(alpha_low_values[alpha_low_in]))                \n",
    "                run_script_ex_changed=run_script_ex_changed.replace(\"Sandro\", \"Sandro_al_\"+str(alpha_low_in)+\"_ah_\"+str(alpha_high_in)+'_v_'+str(v_bend_in))\n",
    "                run_script_ex_changed=run_script_ex_changed.replace(\"v_bend_in=3.171e-15\", \"v_bend_in=\"+str(v_bend_values[v_bend_in]))\n",
    "\n",
    "                f = open('/Users/nevencaplar/Documents/Variability/Lia_Data/Sandro/run_script_ex_al_'+str(alpha_low_in)+'_ah_'+str(alpha_high_in)+'_v_'+str(v_bend_in)+'.sh','w')\n",
    "                f.write(run_script_ex_changed)\n",
    "                f.close()\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-03T16:24:29.887068Z",
     "start_time": "2020-01-03T16:24:29.850723Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "outF = open(\"/Users/nevencaplar/Documents/Variability/Lia_Data/Sandro/submit_Sandro_script.sh\", \"w\")\n",
    "outF.write('#!/bin/bash ')\n",
    "outF.write(\"\\n\")\n",
    "\n",
    "for alpha_low_in in range(len(alpha_low_values)):\n",
    "    for alpha_high_in in range(len(alpha_high_values)):\n",
    "        for v_bend_in in range(len(v_bend_values)):\n",
    "            if alpha_low_in>alpha_high_in:\n",
    "                pass\n",
    "            else:\n",
    "                outF.write('sh /home/ncaplar/CodeGpu/Scripts/run_script_ex_al_'+str(alpha_low_in)+'_ah_'+str(alpha_high_in)+'_v_'+str(v_bend_in)+'.sh')\n",
    "                outF.write(\"\\n\")\n",
    "outF.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-31T18:52:13.288877Z",
     "start_time": "2019-12-31T18:52:13.237689Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'#!/bin/bash\\n\\n\\n# initialise\\n#export LD_LIBRARY_PATH=/usr/local/cuda-9.0/lib64\\n\\nexport LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/ncaplar/.conda/envs/cuda_env/lib\\nexport LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/ncaplar/CodeGpu/software/lib\\n\\n\\ndirpath=\"/tigress/ncaplar/GpuData/\" \\n\\necho $LD_LIBRARY_PATH\\n\\n# GPU\\ngpu_name=0\\n\\n#general inputs\\nname=\"Sandro\"\\nrepetitions=10\\n\\n#codes inputs\\nLClength_in=20\\ntbin_in= 3153600000000.\\n#-------------\\nA_in=30\\nv_bend_in=3.171e-15\\na_low_in=0.0\\na_high_in=4\\nc_in=0.0\\n#-------------\\nnum_it_in=200\\nLowerLimit_in=0.00001\\nUpperLimit_in=10.\\nLowerLimit_acc_in=0.00017\\nUpperLimit_acc_in=3.16\\n#-------------\\nlambda_s_LN_in=1\\nsigma_LN_in=0.3\\n#-------------\\ndelta1_BPL_in=0.47\\ndelta2_BPL_in=2.53\\nlambda_s_BPL_in=0.11\\n#-------------\\nPDF_in=0\\n#-------------\\nlen_block_rd_in=1024\\n\\nfor rep in `seq 1 $repetitions`; do\\n\\n# Create unique results directory for each run\\nname_file_in=/tigress/ncaplar/GpuData/results_${name}_${rep}.bin\\necho \"results file: $name_file_in\"\\n# Create unique profile file each run\\n#profFile=prof_${name}_${rep}.nvprof\\n\\n\\nCUDA_VISIBLE_DEVICES=$gpu_name ./main_cuFFT_v15_neven --LClength $LClength_in --RandomSeed $rep --tbin $tbin_in --A $A_in --v_bend $v_bend_in --a_low $a_low_in --a_high $a_high_in --c $c_in --num_it $num_it_in --LowerLimit $LowerLimit_in --UpperLimit $UpperLimit_in --LowerLimit_acc $LowerLimit_acc_in --UpperLimit_acc $UpperLimit_acc_in --lambda_s_LN $lambda_s_LN_in --sigma_LN $sigma_LN_in --delta1_BPL $delta1_BPL_in --delta2_BPL $delta2_BPL_in --lambda_s_BPL $lambda_s_BPL_in --pdf $PDF_in --len_block_rd $len_block_rd_in --output $name_file_in\\ndone\\n\\npython /home/ncaplar/CodeGpu/Cluster_bin_to_npy.py $LClength_in /tigress/ncaplar/GpuData/results_${name}\\n'"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#!/bin/bash "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-31T18:50:56.311071Z",
     "start_time": "2019-12-31T18:50:56.262560Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'#!/bin/bash\\n\\n\\n# initialise\\n#export LD_LIBRARY_PATH=/usr/local/cuda-9.0/lib64\\n\\nexport LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/ncaplar/.conda/envs/cuda_env/lib\\nexport LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/ncaplar/CodeGpu/software/lib\\n\\n\\ndirpath=\"/tigress/ncaplar/GpuData/\" \\n\\necho $LD_LIBRARY_PATH\\n\\n# GPU\\ngpu_name=0\\n\\n#general inputs\\nname=\"Sandro\"\\nrepetitions=10\\n\\n#codes inputs\\nLClength_in=20\\ntbin_in= 3153600000000.\\n#-------------\\nA_in=30\\nv_bend_in=3.171e-15\\na_low_in=0.0\\na_high_in=2.0\\nc_in=0.0\\n#-------------\\nnum_it_in=200\\nLowerLimit_in=0.00001\\nUpperLimit_in=10.\\nLowerLimit_acc_in=0.00017\\nUpperLimit_acc_in=3.16\\n#-------------\\nlambda_s_LN_in=1\\nsigma_LN_in=0.3\\n#-------------\\ndelta1_BPL_in=0.47\\ndelta2_BPL_in=2.53\\nlambda_s_BPL_in=0.11\\n#-------------\\nPDF_in=0\\n#-------------\\nlen_block_rd_in=1024\\n\\nfor rep in `seq 1 $repetitions`; do\\n\\n# Create unique results directory for each run\\nname_file_in=/tigress/ncaplar/GpuData/results_${name}_${rep}.bin\\necho \"results file: $name_file_in\"\\n# Create unique profile file each run\\n#profFile=prof_${name}_${rep}.nvprof\\n\\n\\nCUDA_VISIBLE_DEVICES=$gpu_name ./main_cuFFT_v15_neven --LClength $LClength_in --RandomSeed $rep --tbin $tbin_in --A $A_in --v_bend $v_bend_in --a_low $a_low_in --a_high $a_high_in --c $c_in --num_it $num_it_in --LowerLimit $LowerLimit_in --UpperLimit $UpperLimit_in --LowerLimit_acc $LowerLimit_acc_in --UpperLimit_acc $UpperLimit_acc_in --lambda_s_LN $lambda_s_LN_in --sigma_LN $sigma_LN_in --delta1_BPL $delta1_BPL_in --delta2_BPL $delta2_BPL_in --lambda_s_BPL $lambda_s_BPL_in --pdf $PDF_in --len_block_rd $len_block_rd_in --output $name_file_in\\ndone\\n\\npython /home/ncaplar/CodeGpu/Cluster_bin_to_npy.py $LClength_in /tigress/ncaplar/GpuData/results_${name}\\n'"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "run_script_ex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-31T16:36:54.911052Z",
     "start_time": "2019-12-31T16:36:54.808749Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "ER_curve = np.zeros(2*22, dtype = float)\n",
    "ER_curve = np.fromfile('/Users/nevencaplar/Documents/Variability/Lia_Data/Sandro/test/results_Sandro_test_12.bin', dtype = float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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   "metadata": {
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   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-31T16:37:39.362456Z",
     "start_time": "2019-12-31T16:37:38.822552Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1142eb588>]"
      ]
     },
     "execution_count": 35,
     "metadata": {},
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    },
    {
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      "text/plain": [
       "<Figure size 3000x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(ER_curve[1000:1100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-31T16:48:49.678834Z",
     "start_time": "2019-12-31T16:48:49.265899Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1.380000e+02, 2.840000e+03, 3.308700e+04, 2.088900e+05,\n",
       "        7.027630e+05, 1.258421e+06, 1.195219e+06, 6.078680e+05,\n",
       "        1.622150e+05, 2.286300e+04]),\n",
       " array([-1.45145786, -1.20631241, -0.96116696, -0.71602151, -0.47087605,\n",
       "        -0.2257306 ,  0.01941485,  0.26456031,  0.50970576,  0.75485121,\n",
       "         0.99999667]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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vAv68SdZTgA+Uh1uB9zYLyszvAv9QHg4DH2vc2iAihoFPVE6d0aIuSZIkSZIkqafsEC/DiohR4FUNp6uNzedGRGOtX8zMGysZJ1E0R2ecB+wXEfvR3tcy887Gk5l5Y7kFwakUP9P/RkScD1wP7AEcx+zP7TcBrylXrz5MZv4kIt5K0WRcAlwREX9H8RP8JRSrPF9cTt9SZm1ukXVfRLwG+BKwM/DpiDiWYtuCLcBq4OXM/t2enJk/a5GVZdZ1wO7AmRHxbOBSYBo4hOJlYgPlR87KzO83yyq9BXgm8DiKv88DI+IzFHvBHgS8Fhgs534uMy9rkyVJkiRJkiT1jB2i0UrxMql3tbl+OLN7hM64Fbixcvzshutndnjv36HYk7WZdwC7UjQQB2j+U/1J4MTM/E67m2TmX0XEHhSrQ3ehaEQ2NpfvpWiyXjlH1mXlSta/omj6Hs/satgZDwKnZub5c2TdEBF/AHweGKJoHjfu15rAh2my4rUh67aIOIaiUfs/KFbJrmoy9fPAn7bLkiRJkiRJknrJjtJo3SGVK1RPiYhLgNcAzwF+neKFUP9F8VP5TzRbEdsi70MRcSXwv4AjgX0ofo4/AVwG/GVm3tZh1uci4mvAnwHHUvxcfyfgDuDqsq6bOsy6JiIOAF4H/AFFk3QpxRYF1wGfzMxvtomoZt1YbjfwWopVuk8G9qRoSP8b8Km5GsmSJEmSJElSr4kWv3aXdmgRMQJsaHZtw4YNjIyMbM9yJEmSdhgjp7k7k9QN42cfu9glSJLmYXx8nNHR0VaXRzNzfKFr6KuXYUmSJEmSJEnSYnDrAPWdqakpBgYG5p44h6GhoS5UI0mSJEmSpHY2btxYO2NqaqoLldRjo1V9Z+XKlV3JcVsNSZIkSZKkhbds2bLFLqEr3DpAkiRJkiRJkmqy0SpJkiRJkiRJNdlolSRJkiRJkqSa3KNVfWdsbIzh4eHFLkOSJEmSJEkdmJycrJ0xMTHRtff2bCsbreo7g4ODDA0NLXYZkiRJkiRJ6kA3+jjT09NdqKQetw6QJEmSJEmSpJpstEqSJEmSJElSTTZaJUmSJEmSJKkmG62SJEmSJEmSVJONVkmSJEmSJEmqyUarJEmSJEmSJNVko1WSJEmSJEmSarLRKkmSJEmSJEk12WiVJEmSJEmSpJpstEqSJEmSJElSTUsWuwCp26amphgYGKidMzQ01IVqJEmSJEmS1M7GjRtrZ0xNTXWhknpstKrvrFy5sis5mdmVHEmSJEmSJLW2bNmyxS6hK9w6QJIkSZIkSZJqstEqSZIkSZIkSTXZaJUkSZIkSZKkmtyjVX1nbGyM4eHhxS5DkiRJkiRJHZicnKydMTEx0bX39mwrG63qO4ODgwwNDS12GZIkSZIkSepAN/o409PTXaikHrcOkCRJkiRJkqSabLRKkiRJkiRJUk02WiVJkiRJkiSpJhutkiRJkiRJklSTjVZJkiRJkiRJqslGqyRJkiRJkiTVZKNVkiRJkiRJkmqy0SpJkiRJkiRJNdlolSRJkiRJkqSabLRKkiRJkiRJUk1LFrsAqdumpqYYGBionTM0NNSFaiRJkiRJktTOxo0ba2dMTU11oZJ6bLSq76xcubIrOZnZlRxJkiRJkiS1tmzZssUuoSvcOkCSJEmSJEmSarLRKkmSJEmSJEk12WiVJEmSJEmSpJrco1V9Z2xsjOHh4cUuQ5IkSZIkSR2YnJysnTExMdG19/ZsKxut6juDg4MMDQ0tdhmSJEmSJEnqQDf6ONPT012opB63DpAkSZIkSZKkmmy0SpIkSZIkSVJNNlolSZIkSZIkqSYbrZIkSZIkSZJU0w7RaI2InSPiwIhYExHnRcQ3I+K+iMjyzxnbkHlURFwUEeMRsTkiJiPiaxHxlojYfZ5Zh0bEBRFxa1nXVESMRcS7ImJwnlkHRMRHI+LmiNgUEXdFxPci4gMRMTzPrOURcVb5+bvKvJvL/BXzzNo7It5dfq+p8nveWn7vVfPMGoiIkyPi6+Vz31z+PVwUEc+fT5YkSZIkSZLUC5YsdgGli4EXdSMoInYFPgW8rOHSUPnn2cDrI+JFmfn9ObICOAd4KxCVS7sBjwWeDrwhIk7MzLUd1HYycDawa8Olg8o/b4iIV2fmxR1knQB8Etiz4dJvlH9eGxFvz8yPdpD1XODzwOMaLj2p/PPKiPhgZp7aQdZTgS+Wn6taXv55aUR8BnhVZj44V54kSZIkSZLUC3aURuvODcc/B6aAJ29D1qeBPyrHUxTNyO8DewN/DBwC7AdcGRGHZOYdbbLeD7ytHE8DFwDXA3sAxwFHAo8HvhwRh2Xm91oFRcRJwIfLwweBzwDXArsARwEvpmiafi4ifpGZV7fJOhr4LMVzS+BS4KoydzXwJxTN3I9ExL2Z+ek2WQcDXyq/E8DVFI3STRTP6lXAAPC/I+L+zDyjTdYwcGX5TKB4Vp8F7qRoJL8GGCzr2wqsaZUlSZIkSZIk9ZLIzMWugYh4J0WT8QbghszcEBFrKJqmAGe2a/BVcn4P+HJ5OAEcnpkTles7AecDryxPXZyZL22R9VTg2xTbK9wNPKexkVpuafCe8nBdZh7aIuvxwK0UDcstwDGZeU3DnDXMft8JYP/MfKBJ1m7ALcC+5ak1mfm3DXOOBC6naKTfC+yXmZNNsoKiGbqyPHVGZp7Z5DlcB+xF0Rx9amb+oMX3/CKzK5M/BZyUmVsr14eBrwIzWyS8IDOvaJY1l4gYATY0u7ZhwwZGRka2JVaSJKnnjZx22WKXIPWF8bOPXewSJEnzMD4+zujoaKvLo5k5vtA17BB7tGbmBzLzHZl5aWY2bZ516IzK+HXVJmt5n63A6ykamQDHR8QBLbJOZ/b5vLPFatUzKRqVAKsi4gUtst5O0WQFOLexyVrWdiFwSXk4TLGStJlXM9tkvaSxyVpmXQ2cWx7uyeyq3EYvZLbJug54b5Os7wLvKA93onguDxMRBzHbZJ0AXl9tspZZE8DrKqce0tSVJEmSJEmSetUO0Wjthoh4EvC08vCHmXl5s3mZeT/wNzMfA17SJGsPYKZpeg9wYYusBM6rnHrY6thy1ejxMx9pmN+oup9q05W2Dec/0ibrvPJ+0OQ7Nsk6L1svb76Q4jkAvDAiBprMqWZ9MjM3t8i6gmJ1L8AzIqLl/9QgSZIkSZIk9YodZY/Wbji6Mr5qjrlXAu8rx8cw+/P/GauBpeX4usy8r01W9V7HNLm+AnhiOb4pM29vk/UNiobmXsBhEbFHZm6auRgRewHPLA/vBr7ZKigzb4+I9cABwPKIWJGZ6xumHdXiezRm3RcRXwWOpXgR2GqKrQlaZV3ZJisj4iqKfXKheGZ/2Wr+tjjhhBNYunTp3BO7bO3atdv9npIkSZIkSTuaI444Yrvfc/PmVmv+tp9+arQeVBnfMMfc7wC/oniZ1IqIiIbVnB1nZebGiLgNWA4MRcSyhv1Q55O1NSJupGhk7kTRpL2+MmUFs6uQv9P40/wmxigarQAHAv/daC33jd27PLwtM+/sIGtmk6IDqTRay1W7K8rDLcB3O8iaceAcc+dt3bp13Y6UJEmSJElSh6699trFLmFR9M3WAcCTK+PxdhMzcwtwR3k4AOyzrVml2yrj/R+BWfsCu5fjO8rnu61ZkiRJkiRJUs/pp0brYyrjuVZnAkxVxo82a4fJkiRJkiRJknpOPzVa96iMO9mU4f7KeE+zdpgsSZIkSZIkqef0U6O1Kuee0tEcsxY3S5IkSZIkSeoJ/dRo3VQZ79bB/N0r43vN2mGyJEmSJEmSpJ6zZLEL6KK7KuPBDuZX59zVcM2sxcuqbdWqVSxdurTbsZIkSZIkSerA6tWrt/s9N2/ezLp167b7fav6qdF6C/A75XgEuLbVxIhYAuxTHk4DdzTJmjHSwb2Xt/jsIyXrRxT7ru4G7BsRSzJzyzZm1XbRRRcxMjLS7VhJkiRJkiR1YO3atdv9nuPj44yOjm73+1b109YBP6iMnz7H3N8Gdi7H6zOzcc/QjrMiYm9mG4d3ZuZkjaydgIPLw63AvzdMWc/s/qYHl/PbWdmiDjLzp8BUebi8/B7bmrW1rA2K5v1TtjVLkiRJkiRJ6kX91Gi9qjI+eo651etXNrm+FnigHK+OiHb7jlazrmhy/SaKFZ8AB0bEvm2yngXsVY6/npkP2b80M+8BvlkePgo4tFVQRDwRWFEeTmTm+ibTZp5ZAM9vk7U7cHh5uJnmq4U7ev4REcBRLT4nSZIkSZIk9aS+abRm5g+BG8vDJ0fEMc3mRcRS4KTKqYubZG0CLi8P9wLWtMgK4A2VU19okpXAJTMfAd7Y8kvAm9plNTn/5jZZbyzvB02+Y5OsN5Xfp5k1zDaA/ykzp5vMqd7jteVzbuYYYL9yPJaZ/9liniRJkiRJktQz+qbRWjqzMv5ERAxXL5Y/tf84MHP+0sxs9dP19zH7M/2zIqLZz+FPB1aV428x25xt9EHgvnJ8SkT8buOEiFgDHF8e3g5c0CLrfODH5fglEfGKJlnPA04uDzcBH2qR9Y/At8vxKuDPm2Q9BfhAebgVeG+zoMz8LvAP5eEw8LHGrQ3Kv49PVE6d0aIuSZIkSZIkqafsEC/DiohR4FUNp6uNzeeWL7Cq+mJm3lg9kZlfiogvAC+l2Df1hoj4a4p9QAeBlwOHlNN/ApzSqqbMvDEizgFOpfiZ/jci4nzgemAP4Dhmf26/CXhNk71eZ7J+EhFvpWgyLgGuiIi/o/gJ/hKKVZ4vLqdvKbM2t8i6LyJeA3yJYp/ZT0fEsRTbFmwBVpffc+Z5nZyZP2uRlWXWdcDuwJkR8WzgUoqXhB0CvBoYKD9yVmZ+v9UzA94CPBN4HMXf54ER8RmKvWAPAl5L8fcA8LnMvKxNliRJkiRJktQzokVvcPsWEXEE8K/z/NgrM/PCJlm/BlwInNDms/8JHFeuwmxXVwB/QdFAbPWz+kngxMz8ylwFR8TbKFaH7tJiyr0UTdaLOsh6GfBXFE3fZh4ETs3MczvIeh7weWCoxZQEPgy8vVUzuZJ1MEWj9n+0mfZ5ir+/X85VW5v7jAAbml3bsGEDIyMj2xotSZLU00ZO83/Llrph/OxjF7sESdI8jI+PMzo62uryaGaOL3QN/bZ1AJn5QGaeSLFK9BKKn+E/ANxJ8SKpU4CnztVkLbMyM08Bnk3RvP0vipdB3UXxk/vTgQM6abKWeR8CnkaxfcEtFKtG76V4YdY5wEGdNFnLrM8BB5afu6nMmS5zPw4c3EmTtcy6BjgAeE/5ve4qv+d/UXzvZ2fm2+ZqspZZN1KsRn4rxfO+k+L5307x93FMZr6sTpNVkiRJkiRJ2tHsECtapflyRaskSVJzrmiVusMVrZLUW1zRKkmSJEmSJEl9YId4GZbUTVNTUwwMDMw9cQ5DQ622rJUkSZIkSVK3bNy4sXbG1NRUFyqpx0ar+s7KlSu7kuO2GpIkSZIkSQtv2bJli11CV7h1gCRJkiRJkiTVZKNVkiRJkiRJkmqy0SpJkiRJkiRJNblHq/rO2NgYw8PDi12GJEmSJEmSOjA5OVk7Y2Jiomvv7dlWNlrVdwYHBxkaGlrsMiRJkiRJktSBbvRxpqenu1BJPW4dIEmSJEmSJEk12WiVJEmSJEmSpJpstEqSJEmSJElSTTZaJUmSJEmSJKkmG62SJEmSJEmSVJONVkmSJEmSJEmqyUarJEmSJEmSJNVko1WSJEmSJEmSarLRKkmSJEmSJEk12WiVJEmSJEmSpJqWLHYBUrdNTU0xMDBQO2doaKgL1UiSJEmSJKmdjRs31s6YmprqQiX12GhV31m5cmVXcjKzKzmSJEmSJElqbdmyZYtdQle4dYAkSZIkSZIk1WSjVZIkSZIkSZJqstEqSZIkSZIkSTW5R6v6ztjYGMPDw4tdhiRJkiRJkjowOTlZO2NiYqJr7+3ZVjZa1XcGBwcZGhpa7DIkSZIkSZLUgW70caanp7tQST1uHSBJkiRJkiRJNdlolSRJkiRJkqSabLRKkiRJkiRJUk02WiVJkiRJkiSpJhutkiRJkiRJklSTjVZJkiRJkiRJqslGqyRJkiRJkiTVZKNVkiRJkiRJkmqy0SpJkiRJkiRJNdn3t7uYAAAgAElEQVRolSRJkiRJkqSalix2AVK3TU1NMTAwUDtnaGioC9VIkiRJkiSpnY0bN9bOmJqa6kIl9dhoVd9ZuXJlV3Iysys5kiRJkiRJam3ZsmWLXUJXuHWAJEmSJEmSJNVko1WSJEmSJEmSarLRKkmSJEmSJEk1uUer+s7Y2BjDw8OLXYYkSZIkSZI6MDk5WTtjYmKia+/t2VY2WtV3BgcHGRoaWuwyJEmSJEmS1IFu9HGmp6e7UEk9bh0gSZIkSZIkSTXZaJUkSZIkSZKkmmy0SpIkSZIkSVJNfdtojYiVEfGJiPheRNwdEQ9GxC8i4tsRcV5EHDyPrIiIl0TEP0bE7RHxQET8OCKuiYhXRcS89rqNiKMi4qKIGI+IzRExGRFfi4i3RMTu88w6NCIuiIhbI+K+iJiKiLGIeFdEDM4z64CI+GhE3BwRmyLirvL5fSAi5vV2qYhYHhFnlZ+/q8y7ucxfMZ8sSZIkSZIkaUcXmbnYNXRVROwMfAz4X3NMTeDjwJszc2ubvEcDlwDPa5M1BvxhZv5ojtp2BT4FvKzNtFuBF2Xm9+fICuAc4K1AtJj2U+DEzFzbLqvMOxk4G9i1xZR7gVdn5sUdZJ0AfBLYs8WUXwJvz8yPzpXV5h4jwIZm1zZs2MDIyMi2RkuSJPW0kdMuW+wSpL4wfvaxi12CJGkexsfHGR0dbXV5NDPHF7qGea3E7BEfYbbJmsCXgGspmo5PAI4Afp+iOfkGYDPw9mZBEbEL8H/LzwDcTtFAvBXYF/hT4LeAlcAVEfGszLy3TW2fBv6oHE+VWd8H9gb+GDgE2A+4MiIOycw72mS9H3hbOZ4GLgCuB/YAjgOOBB4PfDkiDsvM77UKioiTgA+Xhw8Cn6F4ZrsARwEvpmiafi4ifpGZV7fJOhr4LLAzxfO/FLiqzF0N/AlFM/cjEXFvZn66zXeUJEmSJEmSekJfrWiNiFGKJuhOwBbg6Mz8lybzng9cTtEM3AI8ITPvbDLvjcDMqstvA8/LzF9Uri8F/oGiGQlwTmae2qK23wO+XB5OAIdn5kTl+k7A+cAry1MXZ+ZLW2Q9taxnJ+Bu4DmNjdSIOAN4T3m4LjMPbZH1eIpnNkDxLI7JzGsa5qyhaBLP1L5/Zj7QJGs34BaKJjTAmsz824Y5R1I8+yUUq2T3y8zJZrW144pWSZKk5lzRKnWHK1olqbfsCCta+22P1ucx+53+vlmTFSAz/5lipSoUDb9nNs4p911998xHgJdXm6xlzmbg5RQrSgHeFBGPbVHbGZXx66pN1jJrK/B6ikYmwPERcUCLrNOZ/Z7vbLFa9UyKFa4AqyLiBS2y3k7RZAU4t7HJWtZ2IcX2CQDDwKtaZL2a2SbrJY1N1jLrauDc8nBPZlflSpIkSZIkST2r3xqtQ5XxrXPM/WFlPNDk+hHAsnL8L5l5U7OQcjXmReXhUuAPGudExJOAp83cNzMvb5F1P/A3Mx8DXtIkaw9gpml6D3Bhi6wEzqucetjq2HKf1+NnPtIwv1F1P9WmK20bzn+kTdZ55f2gyXeUJEmSJEmSek2/7dFa/Qn6k+aYu19l/O9Nrh9VGV85R9aVzK7yPIbZn9nPOLoyvqqDrPdVst7TcH01RUMX4LrMvK9NVvVexzS5vgJ4Yjm+KTNvb5P1DYrG7l7AYRGxR2ZumrkYEXsxuzL4buCbrYIy8/aIWA8cACyPiBWZub7NveflhBNOYOnSpXNP7LK1a9du93tKkiRJkiTtaI444ojtfs/Nmzdv93s26rdG6xUUL13aBTguIlZn5rWNkyLiucAflodrM/O7TbIOqoxvmOO+Y5XxgTWzvgP8imL/2BUREfnQjXQ7zsrMjRFxG7AcGIqIZQ37oc4na2tE3EjR6N2Jokl7fWXKCmZXSH+n3AqhnTGKRisUz6xrjdZ169Z1K0qSJEmSJEnzdO21D2vHPSL01dYBmXkH8I7ycAnwrxHxxYh4c0S8tPzv/wWuKa9/AzihRdyTK+PxOW79I4rmKMB+5U/ytykrM7cAd5SHA8A+NeoCuK0y3r9HsiRJkiRJkqSe0m8rWsnMv4iInwJnU7yY6UXln6rbgHdSvLDpwRZRj6mM75zjnlsi4p7yM7tQNEg3VaZ0nFWaonjpFMCjKRq5dbJmPLrh2o6aJUmSJEmSJPWUvlrRWnExcDLw4xbXlwPvAl7cJmOPyriTTR7ur4z3NKtWliRJkiRJktRT+q7RGhFPotjn9BLgAeDlwBOAXcv/vhz4L4o9RT8fEWd2EJtzT+lojlnzz5IkSZIkSZJ2eH3VaI2IXwf+jaKJeiuwMjM/k5k/zcwHy/9+BngG8J/lx06PiKObxFV/+r9bB7ffvTK+16xaWZIkSZIkSVJP6bc9Wt8F7F2O352ZP282KTN/HhHvBv7/8tSbgSsbpt3F7L6jgzy0kfgQEbEE2Ks83AJMN8maMdjuCzSZc1fDtUdCVi2rVq1i6dKl3YyUJEmSJElSh1avXr3d77l582bWrVu33e9b1W+N1mMr42vmmPsvlfEhTa7fAoyW4xGKF2i1si+wczn+YWY2/iz+FuB3KlnXtgoqm7b7lIfTwB1NsmaMtKlpxvIWn92Rs2q56KKLGBnppARJkiRJkiR129q1a7f7PcfHxxkdHZ174gLqq60DgF+vjO+eY251FWWzlzH9oDJ++hxZK1t8bluyfpvZpu36Jk3bjrMiYm9mG5p3ZuZkjaydgIPLw63AvzdMWc/svqsHl/PbmeuZSZIkSZIkST2j3xqt1Z/3D88xt3p9qsn1qyrjZnu40uJ64xYE3c5aS/GSL4DVEdFuP9Rq1hVNrt8E/KgcHxgR+7bJehaz2yN8PTMfsq9qZt4DfLM8fBRwaKugiHgixT66ABOZub7NfSVJkiRJkqQdXr81WqsrI0+YY271+liT6/8KbCzHz4uIA5qFRMSyStZm4EuNczLzh8CN5eGTI+KYFllLgZMqpy5ukrUJuLw83AtY0yIrgDdUTn2hSVYCl8x8BHhjs6zSm9plNTn/5jZZbyzvB02+oyRJkiRJktRr+q3RWm30/XlE/G6zSeX5d1dOfbZxTmZuAf7PzEeAv4uIx1TnlI3RvwUGylMfy8xmq2MBzqyMPxERD1lxW/7U/uPMrrS9NDNb/aT+fcz+TP+siHhKkzmnA6vK8beYbc42+iBwXzk+pdkzi4g1wPHl4e3ABS2yzgd+XI5fEhGvaJL1PODk8nAT8KEWWZIkSZIkSVLP6LeXYX0S+FPgacBS4J8j4h+Af6bYHmAQeD7wP5ltMl9D61WVnwCOAw4vM78bEX8N3ErxAqxXAb9Vzl0PvL9VYZn5pYj4AvBSin1TbyizflDW9XJmX8r1E+CUNlk3RsQ5wKkUP9P/RkScD1wP7FHW/Pxy+ibgNU32ep3J+klEvLX8rkuAKyLi7yhe2LUEOAZ4cTl9S5m1uUXWfRHxGopVvTsDn46IYym2LdgCrC6/58z/3Z2cmT9r9T0lSZIkSZKkXhEt+m89KyKGgM8Dz+tg+t8Daxr3G23IewxwKfDcNjnfBv4wMyfmqO3XgAtpv63BfwLHZeZ358gK4C+AtzD7M/xGk8CJmfmVdlll3tuADwC7tJhyL0WT9aIOsl4G/BVF07eZB4FTM/PcubLa3GME2NDs2oYNGxgZGdnWaEmSpJ42ctpli12C1BfGzz52sUuQJM3D+Pg4o6OjrS6PZub4QtfQb1sHkJkbM/NIihWdF1KsNL0H+FX535sofuL+nMw8rl2Ttcz7BUXT9gTgMoqfxv8S+BnwFeA1wKq5mqxl1gOZeSLFKtFLKH6G/wBwJ8WLpE4BnjpXk7XMysw8BXh2+T3/i2KP2LsoGr+nAwd00mQt8z5EsWr348AtwDRFc/Um4BzgoE6arGXW54ADy8/dVOZMl7kfBw6u02SVJEmSJEmSdjR9t6JVjwyuaJUkSWrOFa1Sd7iiVZJ6iytaJUmSJEmSJKkP9NvLsCSmpqYYGBionTM0NNSFaiRJkiRJktTOxo0ba2dMTU11oZJ6bLSq76xcubIrOW6rIUmSJEmStPCWLVu22CV0hVsHSJIkSZIkSVJNNlolSZIkSZIkqSYbrZIkSZIkSZJUk3u0qu+MjY0xPDy82GVIkiRJkiSpA5OTk7UzJiYmuvbenm1lo1V9Z3BwkKGhocUuQ5IkSZIkSR3oRh9nenq6C5XU49YBkiRJkiRJklSTjVZJkiRJkiRJqslGqyRJkiRJkiTVZKNVkiRJkiRJkmqy0SpJkiRJkiRJNdlolSRJkiRJkqSabLRKkiRJkiRJUk02WiVJkiRJkiSpJhutkiRJkiRJklSTjVZJkiRJkiRJqmnJYhcgddvU1BQDAwO1c4aGhrpQjSRJkiRJktrZuHFj7YypqakuVFKPjVb1nZUrV3YlJzO7kiNJkiRJkqTWli1bttgldIWNVkmSJHVk5LTLFrsESZIkaYflHq2SJEmSJEmSVJONVkmSJEmSJEmqya0D1HfGxsYYHh5e7DIkSZIkSZLUgcnJydoZExMTXXtvz7ay0aq+Mzg4yNDQ0GKXIUmSJEmSpA50o48zPT3dhUrqcesASZIkSZIkSarJRqskSZIkSZIk1WSjVZIkSZIkSZJqstEqSZIkSZIkSTXZaJUkSZIkSZKkmmy0SpIkSZIkSVJNNlolSZIkSZIkqSYbrZIkSZIkSZJUk41WSZIkSZIkSarJRqskSZIkSZIk1WSjVZIkSZIkSZJqWrLYBUjdNjU1xcDAQO2coaGhLlQjSZIkSZKkdjZu3Fg7Y2pqqguV1GOjVX1n5cqVXcnJzK7kSJIkSZIkqbVly5Ytdgld4dYBkiRJkiRJklSTjVZJkiRJkiRJqslGqyRJkiRJkiTV5B6t6jtjY2MMDw8vdhmSJEmSJEnqwOTkZO2MiYmJrr23Z1vZaFXfGRwcZGhoaLHLkCRJkiRJUge60ceZnp7uQiX1uHWAJEmSJEmSJNVko1WSJEmSJEmSarLRKkmSJEmSJEk19X2jNSKeFREfi4gfRMTPI+L+iLgtIr4aER+IiMM6yDgqIi6KiPGI2BwRkxHxtYh4S0TsPs96Do2ICyLi1oi4LyKmImIsIt4VEYPzzDogIj4aETdHxKaIuCsivld+r3m9DSoilkfEWeXn7yrzbi7zV8wza++IeHf5vabK73lr+b1XzSdLkiRJkiRJ6gWRmYtdw4Iom5Z/CbxkjqnfzczfbpGxK/Ap4GVtPn8r8KLM/P4c9QRwDvBWIFpM+ylwYmaunaNmIuJk4Gxg1xZT7gVenZkXd5B1AvBJYM8WU34JvD0zP9pB1nOBzwOPazElgQ9m5qlzZc1xnxFgQ7NrGzZsYGRkpE68JElqYuS0yxa7BEnabsbPPnaxS5AkzcP4+Dijo6OtLo9m5vhC17BkoW+wGCJiGXANcFB5ahz4InATcB+wDzAKHD1H1KeBPyrHUxTNyO8DewN/DBwC7AdcGRGHZOYdbbLeD7ytHE8DFwDXA3sAxwFHAo8HvhwRh2Xm99p8v5OAD5eHDwKfAa4FdgGOAl5M0TT9XET8IjOvbpN1NPBZYGeKJuilwFVl7mrgTyiauR+JiHsz89Ntsg4GvlR+J4CrKZ77Jopn9SpgAPjfEXF/Zp7RKkuSJEmSJEnqJX23orVcOfoV4Ijy1FnAGZn5yxbzn5iZtzc5/3vAl8vDCeDwzJyoXN8JOB94ZXnq4sx8aYt7PBX4NsVWDXcDz2lspEbEGcB7ysN1mXloi6zHU6yiHQC2AMdk5jUNc9ZQNIlnat8/Mx9okrUbcAuwb3lqTWb+bcOcI4HLKZry9wL7ZeZkk6ygaByvLE+dkZlnNnkO1wF7AVuBp2bmD5p9z7m4olWSpO3PFa2SHklc0SpJvWVHWNHaj3u0vprZJuvHM/OdrZqsAM2arKUzKuPXVZus5ee2Aq+naGQCHB8RB7TIOp3ZZ/3OFqtVz6RoVAKsiogXtMh6O0WTFeDcxiZrWduFwCXl4TDFStJmXs1sk/WSxiZrmXU1cG55uCezq3IbvZDZJus64L1Nsr4LvKM83IniuUiSJEmSJEk9r68areWqyplG4D3MNvXmm/Mk4Gnl4Q8z8/Jm8zLzfuBvZj5Gk/1gI2IPYKZpeg9wYYusBM6rnHrY6tjy+x0/85GG+Y2q+6k2XWnbcP4jbbLOK+8Hrfe8rWadl62XSl9I8RwAXhgRAy3mSZIkSZIkST2j3/ZoPQzYvxxfkpn3bmNOde/Wq+aYeyXwvnJ8DLM//5+xGlhajq/LzPvaZFXvdUyT6yuAJ5bjm9qsxgX4BkVDcy/gsIjYIzM3zVyMiL2AZ5aHdwPfbBWUmbdHxHrgAGB5RKzIzPUN045q8T0as+6LiK8CxwK7UTyfpo3sbXXCCSewdOnSuSd22dq1a7f7PSVJkiRJknY0RxxxxHa/5+bNm7f7PRv1W6P1OZXxVyJiF+Ak4GXAbwK7Az+jaEJ+us1Log6qjG+Y457fAX5F8TKpFRERDas5O87KzI0RcRuwHBiKiGUN+6HOJ2trRNxI0cjciaJJe31lygpmVzR/p9wKoZ0xikYrwIHAfzday31j9y4Pb8vMOzvImtnw6EC63Ghdt25dN+MkSZIkPQK5L3VvcC9dacd07bXXLnYJi6Kvtg5gdo9QgCng34CPA88CHkuxsnQ5cCLwzxFxSUTs3iTnyZXxeLsbZuYW4I7ycADYZ1uzSrdVxvs3XHskZEmSJEmSJEk9p99WtD6hMv4YsB/Fz+fPp1gBugQ4HHg5sCvwYmDXiPifDatQH1MZz7U6E4qm7nA5fjTwo5pZMx7dcO2RkCVJkiRJkiT1nH5rtFabdvtRrK48IjOrKyj/LiI+CVxDsX/p71O8yOmiypw9KuNONni4vzLes+GaWfPLkiRJkiRJknpOv20d0Ph9TmposgKQmd8C3lk59eY2mdnm2nzmmDX/LEmSJEmSJKkn9Fuj9d7KeDwzr2kz90LgwXL8jIiorqzcVBnv1sF9q/u83ttwzaz5ZUmSJEmSJEk9p9+2DrirMv52u4mZOR0R/0Hx1vudKV6S9YMmOYMd3Lc6566Ga2bNL6u2VatWsXTp0m7HSpIkSZIkqQOrV6/e7vfcvHkz69at2+73req3Rut/AM8tx/d0MP/uyvhRlfEtwO+U4xHg2lYBEbEE2Kc8nAbuaJhyS2U80kFNy1t89pGSVdtFF13EyEgnZUiSJEmSJKnb1q5du93vOT4+zujo6Ha/b1W/bR3wvcr4US1nNZ9Tbbr+oDJ++hwZv02xIhZgfWY27j/acVZE7M1sE/LOzJyskbUTcHB5uBX494Yp65ndK/Xgcn47K1vUQWb+FJgqD5eX32ObsiRJkiRJkqRe1G+N1isq46e1mxgRA8BvlIcPAhsql6+qjI+e457V61c2ub4WeKAcr46IdnuYVrOuaHL9JuBH5fjAiNi3TdazgL3K8dcz8yF7oWbmPcA3y8NHAYe2CoqIJwIrysOJzFzfZNrMMwvg+W2ydgcOLw8302a1sCRJkiRJktQr+qrRmpm3Mds8XB4RR7aZ/kpgl3L8tcycruT8ELixPHxyRBzTLCAilgInVU5d3KSmTcDl5eFewJoWWQG8oXLqC02yErhk5iPAG5tlld7ULqvJ+Te3yXpjeT9o8h2bZL2p/D7NrGG2AfxP1ecuSZIkSZIk9aq+arSW3l0ZfzIiljdOiIiVwP+pnPpQk5wzK+NPRMRwQ8ZOwMeBmfOXZmarn8G/j9mf6Z8VEU9pMud0YFU5/hazzdlGHwTuK8enRMTvNk6IiDXA8eXh7cAFLbLOB35cjl8SEa9okvU84OTycBPNnxXAPzL7ArJVwJ83yXoK8IHycCvw3hZZkiRJkiRJUk/pt5dhkZlfiYhPAK+jeDHT9yLifGCM4vseDrwC2LX8yPmZ+bCmZmZ+KSK+ALyUYt/UGyLiryn2FB0EXg4cUk7/CXBKm5pujIhzgFMpfqb/jbKm64E9+H/t3XucZGV16P3fggGHaUC06VZfsemJaI5cNOgEjIgQLwFEj68iCElUDEqMtygS0WgU1ERfr8cLogYFrxkBk2CCYCSeAW8HHS5eIL6ATDOIxm5aBmd6GGBgnT/2brtoqrqrZ+/q6qr5fT+f+vDsvZ9az6qi9+zuVU89G45h5uv2m4CTm6z1Oh3rVxHxRuCs8vVcHBGfp/gK/jLgKOCFZfetZawtLWJtjoiTgQsp1pk9JyKOpli2YCtwWPk6p39O3pCZv24RK8tYlwMrgDMi4hDgAoqbhB0EvBwYKJ/ynsz8Sav3TJIkSZIkSeolfVdoLb2GolD4Goqvqbcqgn6cmdmazbyUYibq8cCewFub9Pk5cExm3jJPTm+hKO6+nqLY2Oyr+uPACZl5zVyBMvOTEbErxezQnYCTykejjRRF1mbrxjbGuqicyfpJiqLvsczMhp12D3BaZp49T6wrI+J5wJeBIYri8ez1WhP4EE1mvEqSJEmSJEm9qh+XDiAz78vM11HcEOps4EaKr9tvBm4o9z0pM1+bmVvniHNXZp5AMUv0fIqv4d8F3EaxFuwpwBMy80dt5JSZeQpwCHAucBPFzaA2UHzl/u3Afpn5rTZf4wcobvh1JnA9xazRjRQ3zHofcEBmrm4z1peA/cvnXVvGmSrjngkcmJkfbjPWpcB+wDvK17WhfJ03UbzuQzLz1FYzdiVJkiRJkqReFNa71IsiYhRY1+zYunXrGB0dXcx0JEnaLoy++aJupyBJ0v2MvffobqcgaYkYGxtj5cqVrQ6vzMyxTufQlzNaJUmSJEmSJGkx9esardqOTU5OMjAwMH/HeQwNDdWQjSRJkiRJkuYyMTFROcbk5GQNmVRjoVV9Z9WqVbXEcVkNSZIkSZKkzhseHu52CrVw6QBJkiRJkiRJqshCqyRJkiRJkiRVZKFVkiRJkiRJkipyjVb1nbVr1zIyMtLtNCRJkiRJktSG8fHxyjHWr19f2317tpWFVvWdwcFBhoaGup2GJEmSJEmS2lBHHWdqaqqGTKpx6QBJkiRJkiRJqshCqyRJkiRJkiRVZKFVkiRJkiRJkiqy0CpJkiRJkiRJFVlolSRJkiRJkqSKLLRKkiRJkiRJUkUWWiVJkiRJkiSpIgutkiRJkiRJklSRhVZJkiRJkiRJqshCqyRJkiRJkiRVtKzbCUh1m5ycZGBgoHKcoaGhGrKRJEmSJEnSXCYmJirHmJycrCGTaiy0qu+sWrWqljiZWUscSZIkSZIktTY8PNztFGrh0gGSJEmSJEmSVJGFVkmSJEmSJEmqyEKrJEmSJEmSJFXkGq3qO2vXrmVkZKTbaUiSJEmSJKkN4+PjlWOsX7++tvv2bCsLreo7g4ODDA0NdTsNSZIkSZIktaGOOs7U1FQNmVTj0gGSJEmSJEmSVJGFVkmSJEmSJEmqyEKrJEmSJEmSJFVkoVWSJEmSJEmSKrLQKkmSJEmSJEkVWWiVJEmSJEmSpIostEqSJEmSJElSRRZaJUmSJEmSJKkiC62SJEmSJEmSVJGFVkmSJEmSJEmqaFm3E5DqNjk5ycDAQOU4Q0NDNWQjSZIkSZKkuUxMTFSOMTk5WUMm1VhoVd9ZtWpVLXEys5Y4kiRJkiRJam14eLjbKdTCpQMkSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSarINVrVd9auXcvIyEi305AkSZIkSVIbxsfHK8dYv359bfft2VYWWtV3BgcHGRoa6nYakiRJkiRJakMddZypqakaMqnGpQMkSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSapouyu0RsR/REQ2PE5s83lHRMTqiBiLiC0RMR4R34mI10fEigXm8OSI+ExE3BgRmyNiMiLWRsRbI2JwgbH2i4iPRsTPImJTRGyIiB9HxD9ExILuCBURe0fEe8rnbyjj/ayMv+8CY+0ZEW8rX9dk+TpvLF/3wQuJJUmSJEmSJC1129XNsCLipcCzFvicnYHPAn8269BQ+TgEeHVEvCAzfzJPrADeB7wRiIZDuwAPBZ4EvCYiTsjMNW3k9gbgvcDOsw4dUD5eExEvz8zz2oh1PPBpYLdZh36/fPxlRPxNZn60jVhPB74MPGzWoUeXj5dFxPsz87T5YkmSJEmSJEm9YLsptEbEMPChcnMKGGjzqecAf1q2JymKkT8B9gT+HDgI2Ae4JCIOysxb54j1buDUhhw+A/wA2BU4hqII/HDgaxHx1Mz88Ryv5xUNr+ce4AvAZcBOwBHACymKpl+KiNsz85tzxDoS+CKwI5DABcA3yriHAS+mKOZ+JCI2ZuY5c8Q6ELiwfE0A3wS+CmyieK9Oonjv3xQRd2bm6a1iSZIkSZIkSb0iMrPbOSyKiPgKcBxwDfBTiiIpwMsy89wWz3ku8LVycz1waGaubzi+A3A28LJy13mZ+aIWsZ4AXEWxXMMdwNNmF1Ij4nTgHeXmFZn55BaxHg7cSFGw3AoclZmXzupzIkWReDr3x2bmXU1i7QJcD+xV7joxMz83q8+zgK9TFOY3Avtk5niTWEFROF5V7jo9M89o8j5cDuwO3Ac8ITN/2ux1ziUiRoF1zY6tW7eO0dHRhYaUJEnzGH3zRd1OQZKk+xl779HdTkHSEjE2NsbKlStbHV6ZmWOdzmG7WKM1Iv4nRZH1PuBk4N42n3p6Q/uvGousAJl5H/BqikImwLERsV+LWG9n5v3+2xazVc+gKFQCHBwRz24R62+YmZH74dlF1jK3c4Hzy80RipmkzbycmSLr+bOLrGWsbwIfLjd3Y2ZW7mzPYabIegXwziaxfgS8pdzcgeJ9kSRJkiRJknpa3xdaI2J34BPl5scz84dtPu/RwBPLzRsy8+vN+mXmncA/Tj+NoqA7O9auwHTR9LfAuS1iJfCxhl0PmB1bzho9dvops/rP1rieatOZtrP2f2SOWB8rx4Mmr7FJrGbymQwAACAASURBVI9l6+nS51K8DwDPiYh2l3GQJEmSJEmSlqTtYY3W9wGPBH4BvG0Bzzuyof2NefpeAryrbB/FzNf/px0GLC/bl2fm5jliNY51VJPj+wKPKtvXZuYtc8T6HkVBc3fgqRGxa2Zumj5YFqH/qNy8A/h+q0CZeUtEXAfsB+wdEftm5nWzuh3R4nXMjrU5Ir4NHE1xI7DDKJYmqMXxxx/P8uXL5+9YszVr1iz6mJIkSZIkSUvN4YcfvuhjbtmyZdHHnK2vC60R8TSKpQIAXpuZGxfw9AMa2lfO0/caiuUIdgT2jYiYNZuz7ViZORERNwN7A0MRMTxrPdSFxLovIq6mKGTuQFGk/UFDl32ZmdV8TbkUwlzWUhRaAfYHfldoLdeN3bPcvDkzb2sj1vRiOvtTY6H1iiuuqCuUJEmSJEmSFuiyyy7rdgpd0bdLB0TEcoqv9AfwL5n5rwsM8ZiG9thcHTNzK3BruTlAMYN2m2KVbm5oP3Y7jCVJkiRJkiT1lL4ttFJ8ff+xwEbgtdvw/Ic0tOebnQkw2dDew1iVYkmSJEmSJEk9pS8LrRHxB8Cp5eZbM/PWufq3sGtDu51FHu5saO9mrEqxJEmSJEmSpJ7Sd4XWiNgR+AzF+rM/BM6sIWzO36WtPsZaeCxJkiRJkiRpyeu7QivwRuCJwFbg5DZu8NTKpob2Lm30X9HQnn3TLWMtLJYkSZIkSZLUU5Z1O4E6RcQ+wOnl5ocz85oK4TY0tAfb6N/YZ8OsY8ZaWKxKDj74YJYvX15nSEmSJEmSJLXpsMMOW/Qxt2zZwhVXXLHo4zbqq0Ir8GcUsykT2BoRb2vR7/EN7edGxF5l+z8y8wdl+3rgj8v2KHBZq0EjYhnwyHJzCpi9Juz1De3ROfKftneL524vsSpZvXo1o6PtpCBJkiRJkqS6rVmzZtHHHBsbY+XKlYs+bqN+K7RGw3/f0uZzXlA+oPj6+3Sh9acNfZ4EfG6OGH8A7Fi2r8vM2euPzo7VUkTsyUwR8rbMHK8QawfgwHLzPuC/ZnW5jqIoHcCBEbHDPEstrGqRB5n53xExSTFTde+I2DMzb9uWWJIkSZIkSVKv6cc1WuvyjYb2kfP0bTx+SZPja4C7yvZhETHXGqaNsS5ucvxa4Bdle/+G2bjNPAXYvWx/NzPvtxZqZv4W+H65+WDgya0CRcSjgH3LzfWZeV2TbtPvWQB/MkesFcCh5eYW5pgtLEmSJEmSJPWCviq0ZubpmRnzPbj/7NSXNRz7Xw2xbgCuLjcfExFHNRszIpYDr2jYdV6TvDYBXy83dwdObBErgNc07PpKk1gJnD/9FOC1zWKVXjdXrCb7/3qOWK9lZsbwA15jk1ivK19PMycyUwD+98ycmmNcSZIkSZIkacnrq0JrB5zR0D4rIkYaD5ZfzT8TmN5/QWa2+hr8uyi+pg/wnoh4fJM+bwcOLts/ZKY4O9v7gc1l+5SIeMbsDhFxInBsuXkL8JkWsc4Gflm2j4uIlzaJ9UzgDeXmJuADLWL9G3BV2T4Y+LsmsR4P/EO5eR/wzhaxJEmSJEmSpJ7Rb2u01iozL4yIrwAvolg39cqI+BTFmqKDwEuAg8ruvwJOmSPW1RHxPuA0iq/pfy8izqZYE3ZX4Bhmvm6/CTi5yVqv07F+FRFvBM6i+H94cUR8nuIr+MuAo4AXlt23lrG2tIi1OSJOBi6kWGf2nIg4mmLZgq3AYeXrnP5ZeUNm/rpFrCxjXQ6sAM6IiEOACyhuEnYQ8HJgoHzKezLzJ63eM0mSJEmSJKlXWGid30spZqIeD+wJvLVJn58Dx2TmLfPEeguwM/B6imJjs6/qjwMnZOY1cwXKzE9GxK4Us0N3Ak4qH402UhRZm60b2xjronIm6ycpir7HMjMbdto9wGmZefY8sa6MiOcBXwaGKIrHs9drTeBDNJnxKkmSJEmSJPUilw6YR2belZknUMwSPZ/ia/h3AbdR3EjqFOAJmfmjNmJlZp4CHAKcC9xEcTOoDRRfuX87sF9mfqvN3D4APJFi+YLrKWaNbqS4Ydb7gAMyc3Wbsb4E7F8+79oyzlQZ90zgwMz8cJuxLgX2A95Rvq4N5eu8ieJ1H5KZp7aasStJkiRJkiT1mrDWpV4UEaPAumbH1q1bx+jo6GKmI0nSdmH0zRd1OwVJku5n7L1HdzsFSUvE2NgYK1eubHV4ZWaOdToHZ7RKkiRJkiRJUkWu0aq+Mzk5ycDAwPwd5zE0NFRDNpIkSZIkSZrLxMRE5RiTk5M1ZFKNhVb1nVWrVtUSx2U1JEmSJEmSOm94eLjbKdTCpQMkSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSarINVrVd9auXcvIyEi305AkSZIkSVIbxsfHK8dYv359bfft2VYWWtV3BgcHGRoa6nYakiRJkiRJakMddZypqakaMqnGpQMkSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSarIQqskSZIkSZIkVWShVZIkSZIkSZIqstAqSZIkSZIkSRVZaJUkSZIkSZKkiiy0SpIkSZIkSVJFFlolSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSapoWbcTkOo2OTnJwMBA5ThDQ0M1ZCNJkiRJkqS5TExMVI4xOTlZQybVWGhV31m1alUtcTKzljiSJEmSJElqbXh4uNsp1MKlAyRJkiRJkiSpIgutkiRJkiRJklSRhVZJkiRJkiRJqsg1WtV31q5dy8jISLfTkCRJkiRJUhvGx8crx1i/fn1t9+3ZVhZa1XcGBwcZGhrqdhqSJEmSJElqQx11nKmpqRoyqcalAyRJkiRJkiSpIgutkiRJkiRJklSRhVZJkiRJkiRJqshCqyRJkiRJkiRVZKFVkiRJkiRJkiqy0CpJkiRJkiRJFVlolSRJkiRJkqSKLLRKkiRJkiRJUkUWWiVJkiRJkiSpIgutkiRJkiRJklTRsm4nINVtcnKSgYGBynGGhoZqyEaSJEmSJElzmZiYqBxjcnKyhkyqsdCqvrNq1apa4mRmLXEkSZIkSZLU2vDwcLdTqIVLB0iSJEmSJElSRRZaJUmSJEmSJKkiC62SJEmSJEmSVJFrtKrvrF27lpGRkW6nIUmSJEmSpDaMj49XjrF+/fra7tuzrSy0qu8MDg4yNDTU7TQkSZIkSZLUhjrqOFNTUzVkUo1LB0iSJEmSJElSRRZaJUmSJEmSJKkiC62SJEmSJEmSVFHfFVoj4sERcVxEnBURV0TEZETcExG3R8Q1EXFmRDxpgTGPiIjVETEWEVsiYjwivhMRr4+IFQuM9eSI+ExE3BgRm8v81kbEWyNicIGx9ouIj0bEzyJiU0RsiIgfR8Q/RMSC7gYVEXtHxHvK528o4/2sjL/vAmPtGRFvK1/XZPk6byxf98ELiSVJkiRJkiT1gsjMbudQm4h4E/BO4EFtdD8XeFVm3jlHvJ2BzwJ/NkecG4EXZOZP5sktgPcBbwSiRbf/Bk7IzDVzxSrjvQF4L7Bziy4bgZdn5nltxDoe+DSwW4sudwN/k5kfbSPW04EvAw9r0SWB92fmafPFmmecUWBds2Pr1q1jdHS0SnhJktTE6Jsv6nYKkiTdz9h7j+52CpKWiLGxMVauXNnq8MrMHOt0Dss6PcAieywzRdabgEuBa4DbgIcAzwCOAXYETgQeFhFHZ+tq8znAn5btSYpi5E+APYE/Bw4C9gEuiYiDMvPWOXJ7N3Bq2Z4CPgP8ANi1zOlZwMOBr0XEUzPzx60CRcQrgA+Vm/cAXwAuA3YCjgBeSFE0/VJE3J6Z35wj1pHAFynekwQuAL5Rxj0MeDFFMfcjEbExM8+ZI9aBwIXlawL4JvBVYBPFe3USMAC8KSLuzMzTW8WSJEmSJEmSekm/zWj9R+ARwPuBy5sVUCPiUODrzBQDT8zMzzXp91zga+XmeuDQzFzfcHwH4GzgZeWu8zLzRS3yegJwFcVSDXcAT5tdSI2I04F3lJtXZOaTW8R6OMUs2gFgK3BUZl46q8+JFEXi6dwfm5l3NYm1C3A9sFe56wHvRUQ8i+L9WkYxS3afzBxvEisoCseryl2nZ+YZTd6Hy4HdgfuAJ2TmT5u9zvk4o1WSpMXnjFZJ0lLjjFZJ05bCjNZ+W6P1TZn5nMy8rNUs1cz8NvCWhl0ntoh1ekP7rxqLrGWc+4BXUxQyAY6NiP1axHo7M+/137aYrXoGRaES4OCIeHaLWH9DUWQF+PDsImuZ27nA+eXmCMVM0mZezkyR9fxmBedyNuyHy83dmJmVO9tzmCmyXkGxhMPsWD9i5r3fgeJ9kSRJkiRJknpeXxVaM/P2Nrue39B+/OyDEfFo4Inl5g2Z+fUW490J/OP004DjmsTaFZgumv6WYm3YZrES+FjDrgfMji1njR47/ZRZ/WdrXE+16UzbWfs/Mkesj5XjQZPX2CTWx+ZYjuFcivcB4DkRMdCinyRJkiRJktQz+m2N1nZtbGivaHL8yIb2N+aJdQnwrrJ9FDNf/592GLC8bF+emZvniNU41lFNju8LPKpsX5uZt8wR63sUBc3dgadGxK6ZuWn6YETsDvxRuXkH8P1WgTLzloi4DtgP2Dsi9s3M62Z1O6LF65gda3NEfBs4GtiF4v1pWsjeVscffzzLly+fv2PN1qxZs+hjSpIkSZIkLTWHH374oo+5ZcuWRR9ztu210Lp/Q/vmJscPaGhfOU+sa4B7KW4mtW9ExKzZnG3HysyJiLgZ2BsYiojhWeuhLiTWfRFxNUUhcweKIu0PGrrsy8yM5mvKpRDmspai0ArF+/e7Qmu5buye5ebNmXlbG7GmF9LZn5oLrVdccUWd4SRJi8C1PyVJkqT+cdlll3U7ha7oq6UDFuCVDe1mRb7HNLTH5gqUmVuBW8vNAeCR2xqr1Fj4fex2GEuSJEmSJEnqOdtdoTUinsrMDbC2MHOjp0YPaWjPNzsTYLKhvYexKsWSJEmSJEmSes52VWgtv+K+muLGVQB/12Kd010b2u0s8HBnQ3s3Y1WKJUmSJEmSJPWc7abQWt7d/kJmvtp/EfDBNp6a83dpq4+xFh5LkiRJkiRJ6gnbRaE1IpYDXwMOKnd9D3jRrJtWNdrU0N6ljSFWNLQ3GqtSLEmSJEmSJKnnLOt2Ap0WETsD/ww8vdy1Fnh2Zk7N8bQNDe3BNoZp7LNh1jFjLSxWZQcffDDLly+vO6wkSZIkSZLacNhhhy36mFu2bOGKK65Y9HEb9XWhNSJ2As4Hjip3/Qg4IjPvmOep1wN/XLZHgcvmGGMZM8sRTAG3Nok1bXTepGHvFs/dXmJVtnr1akZH20lDkiRJkiRJdVuzZs2ijzk2NsbKlSsXfdxGfbt0QFkA/Sfgf5a7rgWelZm/aePpP21oP2mevn8A7Fi2r2uyHEHbsSJiT2aKkLdl5niFWDsAB5ab9wH/NavLdcyslXpg2X8uq1rkQWb+NzBZbu5dvo5tiiVJkiRJkiT1or4stEbEjsAXgGPKXT8DnpGZE22G+EZD+8h5+jYev6TJ8TXAXWX7sIiYaw3TxlgXNzl+LfCLsr1/ROw1R6ynALuX7e9m5v3WQs3M3wLfLzcfDDy5VaCIeBSwb7m5PjOva9Jt+j0L4E/miLUCOLTc3MIcs4UlSZIkSZKkXtF3hdZyZuZngePLXTcAT8/MX7cbIzNvAK4uNx8TEUc161feZOsVDbvOaxJrE/D1cnN34MQWsQJ4TcOurzSJlRRLIUBR0HxtyxcBr5srVpP9fz1HrNeW40GT19gk1uvK19PMicwUgP99nrVyJUmSJEmSpJ7QV4XWsrj3KeAl5a6fA3+cmb/ahnBnNLTPioiRWWPtAJwJTO+/IDNbfQ3+Xcx8Tf89EfH4Jn3eDhxctn/ITHF2tvcDm8v2KRHxjNkdIuJE4Nhy8xbgMy1inQ38smwfFxEvbRLrmcAbys1NwAdaxPo34KqyfTDwd01iPR74h3LzPuCdLWJJkiRJkiRJPaXfbob198DLy/Y9wEeAP4yIP5znef+RmZsbd2TmhRHxFeBFFOumXhkRn6JYU3SQoph7UNn9V8AprYJn5tUR8T7gNIqv6X8vIs4GfgDsSrHEwfTX7TcBJzdZ63U61q8i4o3AWRT//y6OiM9TfAV/GcWNv15Ydt9axtrSItbmiDgZuJBindlzIuJoimULtgKHla9z+ufkDa1mBmdmlrEuB1YAZ0TEIcAFFDcJO4ji/81A+ZT3ZOZPWr1nkiRJkiRJUi/pt0LrUxraOwEfbfN5K4GxJvtfSjET9XhgT+CtTfr8HDgmM2+ZZ4y3ADsDr6coNjb7qv44cEJmXjNXoMz8ZETsSjE7dCfgpPLRaCNFkbXZurGNsS4qZ7J+kqLoeywzs2Gn3QOclplnzxPryoh4HvBlYIiieDx7vdYEPkSTGa+SJEmSJElSr+qrpQPqlpl3ZeYJFLNEz6f4Gv5dwG0UN5I6BXhCZv6ojViZmacAhwDnAjdR3AxqA8VX7t8O7JeZ32oztw8AT6RYvuB6ilmjGylumPU+4IDMXN1mrC8B+5fPu7aMM1XGPRM4MDM/3GasS4H9gHeUr2tD+Tpvonjdh2Tmqa1m7EqSJEmSJEm9KKx3qRdFxCiwrtmxdevWMTo6upjpSJIqGn3zRd1OQZIk9aCx9x7d7RQkLRFjY2OsXLmy1eGVmTnW6Rz6bekASZIkSZK0nfDD2qXPYri2JxZa1XcmJycZGBiYv+M8hoaGashGkiRJkiRJc5mYmKgcY3JysoZMqrHQqr6zatWqWuK4rIYkSZIkSVLnDQ8PdzuFWngzLEmSJEmSJEmqyEKrJEmSJEmSJFVkoVWSJEmSJEmSKnKNVvWdtWvXMjIy0u00JEmSJEmS1Ibx8fHKMdavX1/bfXu2lYVW9Z3BwUGGhoa6nYYkSZIkSZLaUEcdZ2pqqoZMqnHpAEmSJEmSJEmqyEKrJEmSJEmSJFVkoVWSJEmSJEmSKrLQKkmSJEmSJEkVWWiVJEmSJEmSpIostEqSJEmSJElSRRZaJUmSJEmSJKkiC62SJEmSJEmSVJGFVkmSJEmSJEmqyEKrJEmSJEmSJFW0rNsJSHWbnJxkYGCgcpyhoaEaspEkSZIkSdJcJiYmKseYnJysIZNqLLSq76xataqWOJlZSxxJkiRJkiS1Njw83O0UauHSAZIkSZIkSZJUkYVWSZIkSZIkSarIQqskSZIkSZIkVeQareo7a9euZWRkpNtpSJIkSZIkqQ3j4+OVY6xfv762+/ZsKwut6juDg4MMDQ11Ow1JkiRJkiS1oY46ztTUVA2ZVOPSAZIkSZIkSZJUkYVWSZIkSZIkSarIQqskSZIkSZIkVWShVZIkSZIkSZIqstAqSZIkSZIkSRUt63YCUq8688wzmZiYeMD+oaEhXv3qV3chI6l/eH5JnbHxqn/n3s13PGD/jisezG5PfE4XMpL6h+eX1DmeX1Jn+HdX/Sy0StvoE5/4BNddd90D9u+7777+gyRV5PkldcbGq77OPZPrH7B/p8ER/1CVKvL8kjrH80vqDP/uqp9LB0iSJEmSJElSRRZaJUmSJEmSJKkiC62SJEmSJEmSVJFrtKrvTE5OMjAwUDnO0NBQDdlIkiRJkiRpLs1uyrVQk5OTNWRSjYVW9Z1Vq1bVEicza4kjSZIkSZKk1oaHh7udQi1cOkCSJEmSJEmSKrLQKkmSJEmSJEkVWWiVJEmSJEmSpIpco1V9Z+3atYyMjHQ7DUmSJEmSJLVhfHy8coz169fXdt+ebWWhVX1ncHCQoaGhbqchSZIkSZKkNtRRx5mamqohk2pcOkCSJEmSJEmSKnJGq7SdGB8f5xOf+MTvtl/1qlcxPDzcxYzm1kv5mqt66X3tpVzvndrAxqsv+t32bgcezY4De3Qxo9Z6Kdde00vvrbl2Ri/l2kt66X01187opVx7TS+9t72Uay/9HttLufaSXnhfLbRK24mJiQnOOOOM320fe+yxS+4fpEa9lK+5Ln2jb75o/k4V3D1xM7/67Mz7+ulbhtl5aO+OjrmteinXezffwR3f/affba/4/acu2V/8eynXXtNL7625dkYv5dpLeul9NdfO6KVce00vvbe9lGsv/S3TS7n2kl54X106QJIkSZIkSZIqstCqjojCcRHxbxFxS0TcFRG/jIhLI+KkiHA2tSRJkiRJkvqGxS7VLiL2AM4Hnjnr0CPKxzOAV0bE8zPzF4udnyRJkiRJklQ3C62qVUTsBPwLcHi56xbg08CNwF7AXwCPA1YBF0fEUzJzYxdSlSRJkiRJHVbX/RLunrj5ftvP+tBl7Dw0VkvsuvVKrr/89aZup9B3LLSqbq9kpsh6FfDMzLx9+mBEfBz4V+AIYH/gbcBpi5yjJEmSJEmSVCvXaFVtynVX31ZuJvCSxiIrQGZuAV4CTJW7XhcRD128LCVJkiRJkqT6OaNVdTocGC7b/5mZ1zbrlJnjEbEaOAlYDjwPOGeBY+3Y6sDzn/98HvSgBy0w3MLddNNNTffffffdjI2NdXz8hbr11lsfsD0wMNClbObXS/maa/3uvvvulvu35fzaesevK2Y0T/yNkw/Y3mHn5R0dc1uZa2f0Sq5579aW+zt9nmyrXnlvwVw7pVdy7bXzq1feVzDXTumlXD2/OsdcO6NXcm11btVR1zj++OMrPb+ZzZs332/7hBNOYMWKFb/bvuuuu+Z6ess6Up0iMxdjHG0HIuL9wKnl5qmZ+cE5+r6Q4oZZAOdn5nELHOupwLe3KVFJkiRJkiRtTw7NzO90ehCXDlCdDmhoXzlP37UN7f07kIskSZIkSZK0aCy0qk6PaWiPzdP3F8C9ZXufiIiOZCRJkiRJkiQtAgutqtNDGtq3zdUxM7cCvy03dwKW3iKRkiRJkiRJUpsstKpOuza0t7TR/86G9m415yJJkiRJkiQtGgut6pR27rLmndgkSZIkSZLUF5Z1OwH1lU3MLB+wS7k9lxUN7Y0LHOuHwKEN2x9raN+1wFh1Ob5L40qSJEmSJC0lq7s07oMa2q9taP9wMQaPTCcVqh4RcROwstwczcyb5+i7jGJ5gR2BrcDO6Q+jJEmSJEmSepRLB6hO1ze0R+fpuxdFkRXgBouskiRJkiRJ6mUWWlWnnza0nzRP31UtnidJkiRJkiT1HAutqtM3GtpHztO38fglHchFkiRJkiRJWjSu0aralOuu/hIYAhI4IDOvbdJvGLgJGKBYp3WvzJxczFwlSZIkSZKkOjmjVbXJzK3A35ebAXw+Ih7S2CcilgOfoyiyAnzcIqskSZIkSZJ6nTNaVauI2Bm4FDi03HUL8CngRoobYJ0EPK48dh3wlMy8Y7HzlCRJkiRJkupkoVW1K2exXgA8fY5uVwHPz8z1i5OVJEmSJEmS1DkWWtURERHAccCLgQOBPYHbgWuB1cA55VIDkiRJkiRJUs+z0CpJkiRJkiRJFXkzLEmSJEmSJEmqyEKrJEmSJEmSJFVkoVWSJEmSJEmSKrLQKs0jCo+NiBMi4oMRsSYifhsRWT7O7cCYYw3x53usqXt8abF04/xqGHtZRLw8Ii6NiF9GxF0RcUtEfC0ijuvUuNJii4gjImJ1eW3ZEhHjEfGdiHh9RKyocRyvXepp5TXpuIj4t/J6cFd5fbg0Ik6KiGUdGHMgIt4QEd8tz80t5bm0OiL+pO7xpG5ZzPNrAdeijv6uKXVSROwYEftHxIkR8bGI+H5EbG742T69Q+N63ZpH7b8sSH3oA8Ap3U5C6lNdOb8iYgT4Z+BJsw7tVT6eGxEnAcdl5h2LnZ9Uh4jYGfgs8GezDg2Vj0OAV0fECzLzJ4udn7SURMQewPnAM2cdekT5eAbwyoh4fmb+oqYxnwB8FXj0rEN7l48XRcQXgJMy8546xpS6oRvnl7QdOA94wWIO6HWrPRZapfntOGt7I3ALsO8ijD0BnDxPn9sWIQ+pUxb9/IqIBwMXN4zxXxTFqF8A+1Ccc48C/gT4akQcmZlbO5WP1EHnAH9atieBTwM/AfYE/hw4iOJn/pKIOCgzb61pXK9d6ikRsRPwL8Dh5a5bKM6XGyk+fPsL4HHAKuDiiHhKZm6sOOYIcAnw8HLXD4AvUpwbB1CcQ4PAi4H7gBOrjCd1SzfOrwbXAm+bp8/6msaSFtvsv6N+Q/H73mM6MZjXrfZFZnY7B2lJi4iTgf8BXAmsBa4HDgP+d9nlc5l5Ys1jjlF8InRzZo7WGVtaSrp0fn2QmVm0lwDPz8wtDccfClwKHFjuelVmnlVnDlKnRcRzga+Vm+uBQzNzfcPxHYCzgZeVu87LzBdVHHMMr13qQRHxWuCj5eZVwDMz8/aG48uBfwWOKHe9LzNPqzjmV5mZifRZ4BWZeV/D8RHg28BIuevZmXlxlTGlbujS+TVd5LgsMw+vEktaqiLib4HdKP6OujIz10XEiRQftAOckZmn1zie1602WWiVtkFEHI6FVqkjOnl+RcSeFDNXHwRMAb+XmeNN+u0P/BgI4FfAozLz3rrykDotIq4EnlhuHp2ZX2/SZxfgZxS/ECdwQGZeW2HMMbx2qceU60LeCgwzx3kQEcPATcAAsAV4ZGb+ZhvHPIDiGgPFByG/3/iBX0O/ZwMXlZs/zMyDtmU8qVu6cX6V8Sy0arvUqUKr162F8WZYkqTtyf9LUWQF+KdmRVaAzPwp8K1y8xHA0xYhN6kWEfFoZoqsNzQrsgJk5p3AP04/DfAmcNoeHU5RBAL4z1YfNpTXi9Xl5nLgeRXGbJw9/ulmf6yWLqb4ejXAH0bEygpjSt1wOIt/fkmqn9etBbDQKknanhzR0L5knr6Nx4/qQC5SpxzZ0P7GPH39Odf2rhvXhbbGzOKrh43nsOeoeo2/d0n9wevWAlholZa2wYi4NCLGI+LuiJiIiB9ExP9XzliStDAHNLSvnKfv2ob2/h3IReqUhfycXwNML4uxb0REBDMRyQAACQhJREFUDeN77VIvWdTrQnmOTd+McSvwo06PKXVRt3/v+v2I+E5ETJbXo19HxOUR8Y6IePj8T5fkdWvhLLRKS9uuwDOAIWAnijtF/yHwJuD/j4j3RMTsuw1KaqK8+c90kedeirVa53JzQ/uxHUlK6ozGu82OzdUxM7dSrJ8Hxdp4j6xhfK9d6iVtny8U143pDyb22cYPJvYCVpTtW8tzcC5ei9TLFvv8mu3hwCHAQymuR8PAocDpwFhE/HUNY0j9zuvWAi3rdgKSWvolxbT8a4BfAztT/LLyAopPhnYE3gz8P8BLu5Sj1Et2Zea6t6GNXxImG9p7dCYlqSMe0tC+rY3+k8zcIXYP5v8QYi5eu9Rr2j5fMnNrRPy2fM5OFB9ObOrUeCWvRepli31+Nfo58B8UN/CZBHYB9gOOBVZSrNn/vyLioZn5jgrjSP3O69YCWWiVlqY/B76XmffNPhARpwOvBj5CMSv9JRHxzcz84uKmKPWcXRvarRZwb3RnQ3u3mnOROqlbP+teu9SLtuV8mf6jczcWXgjyWqTtyWKfX9MOy8zLmx2IiLcC7wTeUu56e3k9+s42jiX1O69bC2ShVT0vIl5DPZ+UbMjMj9cQp7K5LvTlAtMfj4iHUPySAPA2wD9WVbt+PL9KWVMfaZss4rm1aD/rXrvUBxb72uC1SNuTxbweNS2ylse2An8bEQ8D/qLc/TbufyNJSc153WqDhVb1g1OBvWuIczOwlApB83k/xWvfnWKh99/LzJu6nJP6Tz+dX42zInZpo/+KhvbGmnOROnluLeWfda9dWmo2MTODbhfmn0FX9XxZyuenVLfFPr8W4u3Ay4AADo+IFZm5ucNjSr3I69YCeTMsqUdl5hbg/zTs+h/dykXqEZuYucnCHm3cjGewob2hMylJHdH48zrYslfzPh39WffapSWo7fMlIpZRfEgAxZ2Xpzo5XpM+XovUaxb7/GpbZt4K3FBuPggY7eR4Ug/zurVAFlrV8zJzNDOjhsdot1/LNmhcjHq7XGhandVP51e5buSN5eaOFHfQnEvjbMPrO5KUtlsdPrcaf16bHf+d8g/bR5abU8CttbzAuXnt0lLS9vlCcd2Y/pDuhnJJjIX6BTPr1+1VnoNz8VqkXrbY59dCeT2S5ud1a4EstEq9bbv/tEhaoJ82tJ80T99VLZ4nLXUL+Tn/A2b+sL1ukf6w9dqlpWRRrwvlh37XlZvLgMd3ekypi5b6711ej6R5eN1aOAutUo+KiAcBT27YtV1+WiQt0Dca2vPd9KDx+CUdyEXqlCX7c+61S0tQN86XtsaMiACOaPE8qRcs5evRI4DHlpt3A2OdHlPqYV63FsBCq9S7TgEeXLZvyMwb5+osCYB/pfhlGuCEiBhu1iki9gOeXm7+N3DZIuQm1SIzbwCuLjcfExFHNesXEcuBVzTsOq/TueG1S0vP/wYmyvYzy3//H6C8Xhxfbm4BLqwwZuO59pfludjMUcA+ZXttZv68wphSN3Tj/GrX6RQ3wgK4zBthSXPyurUAFlqlRRQRp0dElo9zW/R5a0Q8bp44rwTe1bDr72tMU+pJ7ZxfmTkBfKLc3BU4d/YvChHxEOALzPzy/e7MvBept5zR0D4rIkYaD0bEDsCZwPT+CzKz6de7vHapn2XmVmZ+FgP4fHkd+J3yOvE5YKDc9fHMnGwWLyLObThfTm8x5o8oPviD4hz8eHlONsYZAc5q2NU0lrSUdeP8ioj3zL7mzTq+Y0S8Ezi5YbfXI223vG7Vb75FbKXtXkTsAZw6a3fjAs8HRsS7Zx3/VmZ+axuHPBZ4d0RcTTGL7r+A24GdKT4degH3Xxfli8Dnt3Esqau6cH5BUYA6kuJu50cBV0XE2RQ3AdoH+EvgUWXfNcCnK4wldUVmXhgRXwFeRHFOXRkRn6JYK2sQeAlwUNn9VxQzTavw2qVedhZwDHAo8ETgR+X5ciPFDXpOAqY/SLgOmH1d2havB/4IeFgZf/+I+AIwCRxAcS2aXj/yS5l5UQ1jSt2w2OfXXwGnRcT3gO9SLFFzB7ALsC9wHPB7Df3/PjP95pJ6TkSspDh/GjX+rvX0Jjeu+mpmXs228brVJgut0vz2AN46x/HH88AFobcCVQpBAAeWj1a2Au8Fzlikm5dInbDo51dmbii/Sv3PFOfY44APNul6KXBsZt6zrWNJXfZSICm+jrknzc+1nwPHZOYtNY3ptUs9JzPvjojnARdQLBvzKJoXe64Cnp+Zd9Qw5s3ltegCiqLPweVjti8Df1F1PKlbunF+UcyePaR8tLIZOC0zP17DeFI37M3cf0cdWj4a3cjM8lIL4nWrfRZapaXnxcDTKD4t2g8YYuaTodspPum9DPhsZt7alQylHpeZYxFxMHAiRRFqP+AhwG0Uv3x8ATjPQpB6WWbeRbEW8ecofuF9MjAMbARuAM4HPp2ZUzUM57VLPS0zb4+IZ1LMdnsxxQcGe1L8/F4LrAbOKb8KXdeYV0fE4ylmAb0QeAywGzAO/B+K88WbMarnLfL5dQRFgfWPKG52NX092gr8Bvgx8J/AuZn5mxrGk7YbXrfaE/4NKUmSJEmSJEnVeDMsSZIkSZIkSarIQqskSZIkSZIkVWShVZIkSZIkSZIqstAqSZIkSZIkSRVZaJUkSZIkSZKkiiy0SpIkSZIkSVJFFlolSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSarIQqskSZIkSZIkVWShVZIkSZIkSZIqstAqSZIkSZIkSRVZaJUkSZIkSZKkiiy0SpIkSZIkSVJFFlolSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSarIQqskSZIkSZIkVWShVZIkSZIkSZIqstAqSZIkSZIkSRVZaJUkSZIkSZKkiiy0SpIkSZIkSVJFFlolSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSarIQqskSZIkSZIkVWShVZIkSZIkSZIqstAqSZIkSZIkSRVZaJUkSZIkSZKkiiy0SpIkSZIkSVJFFlolSZIkSZIkqSILrZIkSZIkSZJUkYVWSZIkSZIkSarIQqskSZIkSZIkVfR/AXplK+ViIHGMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1500x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,2))\n",
    "plt.hist(np.log10(ER_curve))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-31T16:50:05.407215Z",
     "start_time": "2019-12-31T16:50:04.242041Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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HkCRpoqrqJuDt7WGAzybZqDumvcv1M8B6bdeHq+ovk4vyb1mjVpImqKrOTvIm4N3ARsAPkiwCvkuTwH0IsB+wfnvKicBHewhV88uDaW6LXJLkBOBXNN8+30xTWH/39rE0GXEG8G89xClJK5MHAZ8Gzk9yIk0t+otpkrEbAw8EnsLUHTIAr3FFo8YtyX5MbV4HcDCwbZJtZzhlqe9UlaU5NFZJNgReM9B9j057h3Y1eNfJVXXyeCPTauoQYG9gJ5q/eX6R5FDgHJq/c14I3LcdeyYw+NmbOBO1kjRhVfWeJGvQrK69HXBA+xh0BLBPVd0yyfg0r23B1I7QM/kKsF9VuZGYJDXuDrxgOWMuAl5RVYdPIB7pEQPHC6cd9bceBZw62lCkv7EhU6u9p/PA9tF1E2CiVnNWVTckeRLN39aPpvl7Z7pk7OnAU6qq9028TdRKUg+q6p1JjqKpWbc7zR95a9Fs8vBd4FN+a6wJei/wU+ChNN803wXYhKaW8uXAeTSfy89V1el9BSlJK5k3AscAC4CHAZsDmwIb0Gwe+mfg58BxwJer6urpp5EkSeNSVX9NsivwdJp9YnYA7gT8leZOwcOBT7elEnqXquo7BkmSJEmSJEma19xMTJIkSZIkSZJ6ZqJWkiRJkiRJknpmolaSJEmSJEmSemaiVpIkSZIkSZJ6ZqJWkiRJkiRJknpmolaSJEmSJEmSemaiVpIkSZIkSZJ6ZqJWkiRJkiRJknpmolaSJEmSJEmSemaiVpIkSZIkSZJ6ZqJWkiRJkiRJknpmolaSJEmSJEmSemaiVpIkSZIkSZJ6ZqJWkiRJkiRJknpmolaSJEmSJEmSemaiVpIkSZIkSZJ6ZqJWkiRJkiRJknpmolaSJEmSJEmSemaiVpIkSZIkSZJ6ZqJWkiRJkiRJknpmolaSJEmSJEmSemaiVpIkaZ5KsiDJZ5P8JsmVSarz2Lfv+KRRS3LgwOe8+7is7/hGLckrZ3m91Xd8kiRpWSZqJUmS5qEk7wNOAZ4LbAes329E0soryVa39YuMJIs65y8efZSSJGlVt2bfAUiSJGmykuwFvLrTdTXwS+CKTt8fJxqUNHl/BX7UOb6qr0DGaDFwQud4Y+Ah/YQiSZKWx0StJEnS/LN/p/1zYEFVXd5XMFJPfllVj+s7iHGqqq8CX116nGQBzUp6SZK0ErL0gSRJ0vzTXVF3sElaSZIkqX8maiVJkuafTTrtP/QWhSRJkqRbmaiVJEmaf7rlr27qLQpJkiRJtzJRK0mStJob3LF+4OlTBnazryQHDpzffW5B27dukucnOTbJ75JcM925A/PcLsnzkhye5LdJLktyXZIl7TwvSbLuCry+xyX5QpLz2vkuTPLjJG9OcrfZXsc0cx3YGXPqkNdfMMv7O9t5Wyd5U5LT2vfguvY9OSvJx5I8Zsh5po05yTZJ3pHk50kuTXJtksVJDpvp9Q9xre2TLEzy7Tbma9vH+Um+0cayw8A5a7f/JktjfOMcr/n5zrnfX5G4VxVJTp3m/4/DPhb1Hb8kSbpt3ExMkiRJc5LkwcAXgHvN4Zy9gfcDW07z9N3bx+OBNyXZv6q+PsScdwA+Azx54KlN28eOwGuTvKCqvjxsrOOWZB3gPcCLgbUGnr4dcEfgPsB+SU4CnlNVF83xGi8D3tvO13WP9vGsJIcCL6mqW4aYbzPgYOBpQKYZsnn7eAzwliQLq+pAgKq6IckngX9vx+6X5F1DXndjYO9O16HLO0erCqucAAAM0UlEQVSSJGlVZaJWkiRp9XctcELn+LGd9o+BSwfGnzPLXNsA7wM2ao//ACwG1mGGxG27gvLtA90XAecC19MkDrdu++8GHJVkn6o6bKYgkqwHHAc8fOCps4ALgc2A+wJ3AL6U5PGzvKaJSbIJcDTwsE53AWcDF9AkVu9PEzfAbsD3k+xUVX8a8hpvAN7ZHl4P/Bq4giYZvl1n6AHAxcB/LGe+7YFjgS0Gnvo9cD5N+YzN2rnXaJ/bcGDsocDrae7o2wrYHTh+iJezD81nC+Ay4ItDnLMq+xFw3ZBjbw/sPMZYJEnShJmolSRJWs1V1YXA45YeD9ye/7qqOnUO030Q2AD4NvCKqvpZZ961gbt0Byd5Fssmab8JvKmqfjgw7u+BDwOPpEn2fTzJz6vqjBnieBfLJmmPB15aVed25tyGZhXoE4DPzeE1jkWSAIcxlaS9EXg3cHB3xWySNYFnAR+iSXhuAxyW5DFDrEJ9ALATTXL+jcDHquqaztwPBg5nKmH7hiQfr6ppN5VrV7Qew7JJ2kXAO6rqtwNj16NZFf1CmuTzrarq90mOBfZsu/ZnuETtfp32Z6vq2iHOWWVV1euGGdd+lr7U6bqZ1T+JLUnSas8atZIkSZqLDYCTgF27SVpobnHvJvySbMqyt6ofCuw2mKRtz/0F8Gjg5Lbr9jRJzL/RrvB8SafraGDPbpK2nfN3wF7AV4E7D/XqxuvFTK1mvh54bFX9x2BZg6q6qao+C+wCXN12LwCeOsQ1NqZJ2u1eVR/sJmnbuU+nSVxf33atCTxvlvk+SLPieakXVtXzB5O07dxXV9URVfV4pl+le0invVeSu872QpLsTLMqeinLHkx5F8uWhHh5VR3XVzCSJGk0TNRKkiRpLm6kSdbdMMTYlwLrt+2zgZdV1YybbVXVjTSrMW9qu56Q5J7TDP0Xpn6PvQrYr6punmHOW2hWb14+RLxjk2QN4LWdrrdX1SmznVNVv2SqhAHAy4a83Hur6juzzHsOcGSna9rb55NsBTyz03VIVX1qmACq6qppuo8Hzmvba9L8W8/mgE7721V15jDXnpBPz3WzL5oyDrdZkhcC3ZW3H6yqj4xibkmS1C8TtZIkSZqLY6tqyZBjuys1D24TsbOqqsXAt9rD0GxONai7svSLbWmH2ea8mGbzsz7tzFQd3htpyjwM47Od9sOTrDvEOcMk7U7rtO83w5hnMFUq7UbgbUPMO6M2ad5dFfuiJNP+PdLW8nUTsQFJHsOyK5O/Bry6p3AkSdKIWaNWkiRJc/HtYQYluQfL3jL/zTlc45c0ZRAAdgQ+1pl3S5atg3vskHN+nab0QF+6q1ZPr6q/DnNSVS1JchlNrdo1gQcB35vllMVV9cchpj6/095ohjG7dNrfqao/DzHv8nwSWEizado9aEpBTHfL/j7tGIC/AEeM4Nqj9GtgmPe56wE0m+WtkCT3oXkf1mq7TgeeNUTdYkmStIowUStJkqS5OHf5QwB44MDxwUmmLU8wjW077cHasvcaOP7VkHMOO25cuu/HVkmG2UhrqXU67eXV2r1gyDmv7rRnWqXbrQ/74yHnnVVVXZLkCODZbdcBTJ+o3b/TXlRV108zpk8HVdWiuZyQZBErWP4gyZ1pvmzYsO1aQlOX+eqZz5IkSasaE7WSJEmaiyuGHLfJwPGuK3i9Ow4cD67+/MuQ81yygtcfle77sRlTm4rN1eD7MWiUCc2NO+2LZhw1dx9hKlG7Z5K7VdWflj6ZZBfg3u1hMc/LHiS5Hc2GeNu0XVfSJGlHscJZkiStRKxRK0mSpLkY9jbr9UZ0vcHfV9ceOB5mUzMYbQJzRYzr/Rin7krekb1/VfU94Bft4Rr87aZi3U3ETqmq347q2quaJAEWAQ9vu24G/k+70ZwkSVrNmKiVJEnSOFzWad8ArFFVWYHHgoF5B1f0bjBkPHdY0RcyhDWGGNN9Pz65gu9F5nq7/W3UraO7vJW8c9XdEOvWTcXaTcS6m8V9dMTXXdW8lWZTt6VeVlXTlYqQJEmrARO1kiRJGocLO+21ga3GMC/A1kOet83yhwDLrtBda8ZRy5ppM66ubtyDdXZXVt1b6+8946gVcxhTSfctgce17X2Z2kTsQppb/uelJM8F3tzpen9VHTLTeEmStOozUStJkqRx+BFwU+d49xHN+0vgxs7xPw153rDjuit2N55x1LIeMMSY73XaD00yzhW+o/L9TnuX9jb8kaiqq4DPdbqWljvobiL2qarq/lvPG0l2Bj7R6foq8NqewpEkSRNiolaSJEkjV1VXsGxy8l+X3t5+G+e9jiYJvNQzhzz1WUOO+32nvW2SdYc45ylDjDmBZmMsaFbqHjDL2JXF8Z32lsATRjx/d3XoHkmew9Rq41uAj4/4equEJNsBRzJVj/mnwLOratj60JIkaRVlolaSJEnj8r5Oe3vgjSOa99Od9kOS7D3b4CRPYmozpuX5aae9JsvWS51u7ucwxIraqjoX+Eqn681J7jdkTH05Bji3c3xwkpHVqq2qM4BvtYdrAId2nj6xqs4b1bVWFUk2Br4ObNJ2LQH2qqpr+otKkiRNiolaSZIkjUVVHQ2c1Ol6a5L/TLL2TOcAJFknyTOS/GSGIf8N/K5z/Kkk0yZikzwM+MwcYv4Ty97y/44km88w9xOY22ZXbwSuatt3AL6Z5NHLOynJFkneluSgOVzrNquqm4HXdbq2Bk5NMmu93yT/mORpQ16mu6q2u3r50MGBq7ska9GspN2u7boC2KOq/jzzWZIkaXWyZt8BSJIkabX2DJrE572AAG8Cnp/kC8APgYva/o1oNqx6CE092/VnmrCqrk2yH3AizUrMOwDfSvJ5mtWIFwKbAnsAz23HfIHhyyS8CziqbW8B/CzJf7Xx3kiTsHwqsGc7ZhHNJlizqqqz2xW4X25jugtNsvbbwNeAM2mSc+u28f89sBPwjzTv0dAJ51GpqiOTvB94Vdv1IOCsJF+iScIvAW4GNgMeTPOebw98CDhiiEt8mebfa7NO35+Ao0fyAlYtmwO7dI4vA947h9LAJ1XVRJP5kiRptEzUSpIkaWyq6tJ2VevhwG5t992AV9/GeU9Osg9N8nKN9rFP+xj0U5pNqoZK1FbV15IcAvxL23Vn4G0zDD8QOI0hErXt3Ecl2Q34H+BObfdO7WOlVFWvTnI5zWsNTe3UZ7eP2zr3jUk+ybJlMT7Rruad77ZsH8O6YFyBSJKkybD0gSRJksaqqi4FHkuzCvUHTG2qNZOzgffTrN6cbd7DgIex7OZiXVfRrOx8RFVdNcOYmeZ+Cc0q0stmGPIb4IlVtXAu87Zzn0Kzwnghy0+uXQ+cAryUqVWtE1dVbwX+gWal642zDL2GZpXs5+cw/emd9s3AJ+YcoCRJ0mogVcv7PVmSJEkanSSbAI+gWVm7MXATcDlN3dlfr0hNziT3BR5Kcwv9FcAfgFOq6urOmO4vvo+qqlOHmHcdYGeasgzr09ym/+uqmik5PGdJ7k+TlL4TsAFwNXAxTTL4V1V17aiuNQpJNqBZAbwFzaZXN9HE+/+B06vq+jnOdxTwxPbw6Kp64mzjb4skBwJvaQ9Pq6oF47rWyijJAprEPwBVNXRdBUmSNH6WPpAkSdJEVdVfaGqyjnLOs4CzRjlnO+91NLVwTxz13J1rnAGcMa75R62qrgSOHcVcSbagqWu71CEzjZUkSVrdmaiVJEmS1JfX0tQXBjgHOH6C135gku71rqqqp03w+mOX5MnAiztdG/cViyRJWj4TtZIkSZImLsmeTG3YBvDummxdto1oaicvdfkErz0pW7Hsa5QkSSsxE7WSJEmSxq6tj/pSmhW02wAP7Dz9C2DR5KOSJElaebiZmCRJkuaFFdlMTKOTZF/g09M8dQmwc1tnWJIkad76u74DkCRJkjTv3AgsBj4K7GCSVpIkyRW1kiRJkiRJktQ7V9RKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz0zUSpIkSZIkSVLPTNRKkiRJkiRJUs9M1EqSJEmSJElSz/4XnM5acsqY53gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1500x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import signal\n",
    "plt.figure(figsize=(5,2))\n",
    "x=np.log10(ER_curve)\n",
    "Pxx_den = signal.periodogram(x)\n",
    "plt.plot(np.log10(Pxx_den[0][1:]),np.log10(Pxx_den[1][1:]),lw=0.7)\n",
    "\n",
    "plt.xlabel('frequency [Hz]')\n",
    "plt.ylabel('PSD [V**2/Hz]')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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