AlexNet-Generalization-Gap.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
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   "source": [
    "## Mini AlexNet Generalization Gap Runs\n",
    "\n",
    "### How the ESD changes with batch size\n",
    "\n",
    "### Also Generates plots for Phase1-5\n",
    "\n",
    "#### <font color='red'> We have a little batch norm here on the first 2 layers, but it does not cause any significant differences.  No Batch Norm results are avalable hr</font>\n",
    "\n",
    "Expects: weights, results, and data in\n",
    "\n",
    "- DataDIR \n",
    "- ModelDIR \n",
    "- WeightsDIR = ModelDIR+\"/weights\"\n",
    "- ResultsDIR = ModelDIR+\"/results\"\n",
    "\n",
    "and while the keras code needs py27, the notebooks can use py3.6 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:08.332897Z",
     "start_time": "2018-09-05T19:48:06.054255Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/charleshmartin/anaconda3/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: compiletime version 3.5 of module 'tensorflow.python.framework.fast_tensor_util' does not match runtime version 3.6\n",
      "  return f(*args, **kwds)\n",
      "/Users/charleshmartin/anaconda3/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n",
      "Using TensorFlow backend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "importing Jupyter notebook from RMT_Util.ipynb\n",
      "3.6.5 |Anaconda, Inc.| (default, Apr 26 2018, 08:42:37) \n",
      "[GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE_401/final)]\n",
      "numpy version 1.14.3\n",
      "scipy version 1.1.0\n",
      "tensforflow version 1.10.1\n",
      "keras version 2.2.2\n",
      "sklearn version 0.19.1\n",
      "powerlaw version 1.4.3\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pickle, time\n",
    "from copy import deepcopy\n",
    "from shutil import copy\n",
    "import import_ipynb\n",
    "from tqdm import tqdm_notebook as tqdm\n",
    "\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "import tensorflow as tf\n",
    "import keras\n",
    "from keras.callbacks import TensorBoard, EarlyStopping\n",
    "from keras.optimizers import SGD\n",
    "from keras.initializers import Constant\n",
    "import keras.backend as K\n",
    "\n",
    "import RMT_Util"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:08.342804Z",
     "start_time": "2018-09-05T19:48:08.334927Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 360x360 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['figure.figsize'] = [5, 5]\n",
    "matplotlib.rcParams.update({'font.size': 16})\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "DataDIR = \"/Users/charleshmartin/work/DLGeneralization/data\"\n",
    "ModelDIR = \"/Users/charleshmartin/work-tmp/MiniAlexNet\"\n",
    "WeightsDIR = ModelDIR+\"/weights\"\n",
    "ResultsDIR = ModelDIR+\"/results\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Check results are present"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:08.851092Z",
     "start_time": "2018-09-05T19:48:08.713727Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ls: weights/alexnet.b*id10.final.h5: No such file or directory\r\n"
     ]
    }
   ],
   "source": [
    "!ls weights/alexnet.b*id10.final.h5 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Globals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:08.901216Z",
     "start_time": "2018-09-05T19:48:08.853886Z"
    }
   },
   "outputs": [],
   "source": [
    "BASELINE_ensemble_weightfile = WeightsDIR+\"/alexnet.b16.id{}.final.h5\"\n",
    "BATCHSIZE_ensemble_weightfile = WeightsDIR+\"/alexnet.b{}.id{}.final.h5\"\n",
    "\n",
    "outfile_template = ResultsDIR+\"/cifar10_alexnet.id{}.b{}.out\"\n",
    "\n",
    "batch_sizes = [2 ,4, 8, 16, 32, 50, 150, 250, 500, 1000]\n",
    "NUM_ENSEBMBLE_RUNS = 10\n",
    "\n",
    "N7, M7 = 4096, 384\n",
    "N8, M8 = 384, 192\n",
    "\n",
    "Q7 = float(N7)/float(M7)\n",
    "Q8 = float(N8)/float(M8)\n",
    "\n",
    "LAYER_FC1 = 7\n",
    "LAYER_FC2 = 8\n",
    "\n",
    "ALPHA = 0.25 # not passing through\n",
    "TITLE_FC1 = \"Mini AlexNet FC1: ESD\\n10 runs; batch size {}\"\n",
    "TITLE_FC2 = \"Mini AlexNet FC2: ESD\\n10 runs; batch size {}\"\n",
    "TITLE_RANDOM = r\"Random-like ESD $\\rho(\\lambda)$\"\n",
    "\n",
    "XLABEL_FC1 = r\"Eigenvalues $\\lambda$ of $\\mathbf{X}=\\mathbf{W}_{FC1}^{T}\\mathbf{W}_{FC1}$\"\n",
    "XLABEL_FC2 = r\"Eigenvalues $\\lambda$ of $\\mathbf{X}=\\mathbf{W}_{FC2}^{T}\\mathbf{W}_{FC2}$\"\n",
    "\n",
    "XLABEL = r\"Eigenvalues $\\lambda$ of $\\mathbf{X}=\\mathbf{W}}^{T}\\mathbf{W}$\"\n",
    "YLABEL = \"Spectral Density\"\n",
    "\n",
    "FC1_FILENAME = \"img/mini-alexnet-fc1-bs{}.png\"\n",
    "FC2_FILENAME = \"img/mini-alexnet-fc2-bs{}.png\"\n",
    "\n",
    "PHASE_1_TITLE = r\"Random-like ESD $\\rho(\\lambda)$\"\n",
    "PHASE_1_FILENAME = \"img/phase1-random-like.png\"\n",
    "PHASE_2_TITLE = r\"Bleeding out ESD $\\rho(\\lambda)$\"\n",
    "PHASE_2_FILENAME = \"img/phase2-bleeding-out.png\"\n",
    "PHASE_3_TITLE = r\"Bulk+Spikes ESD $\\rho(\\lambda)$\"\n",
    "PHASE_3_FILENAME = \"img/phase3-bulk-spikes.png\"\n",
    "PHASE_4_TITLE = r\"Bulk Collapse ESD $\\rho(\\lambda)$\"\n",
    "PHASE_4_FILENAME = \"img/phase4-bulk-collapse.png\"\n",
    "PHASE_5_TITLE = r\"Heavy Tailed ESD $\\rho(\\lambda)$\"\n",
    "PHASE_5_FILENAME = \"img/phase5-heavy-tailed.png\"\n",
    "\n",
    "\n",
    "ACCURACIES_FILENAME = \"img/mini-alexnet-accs-per-batch.png\"\n",
    "SOFTRANK_FILENAME_FC1 = \"img/mini-alexnet-softrank-per-batch-fc1.png\"\n",
    "SOFTRANK_FILENAME_FC2 = \"img/mini-alexnet-softrank-per-batch-fc2.png\"\n",
    "\n",
    "SOFTRANK_SEC3_FILENAME = \"img/mini-alexnet-softrank-sec3.png\"\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:09.165910Z",
     "start_time": "2018-09-05T19:48:08.903756Z"
    }
   },
   "outputs": [],
   "source": [
    "model = RMT_Util.Alexnet_Model()\n",
    "\n",
    "sess = tf.InteractiveSession()\n",
    "sess.run(tf.global_variables_initializer())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ensemble Run\n",
    "\n",
    "### <font color='green'> Plots for RMT / 5 Phases here</font>"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-15T08:07:31.152394Z",
     "start_time": "2018-06-15T08:07:31.145616Z"
    }
   },
   "source": [
    "for bs in batch_sizes:\n",
    "    evals = []\n",
    "    for idx in tqdm(range(1,NUM_ENSEBMBLE_RUNS+1)):\n",
    "        weightfie = BATCHSIZE_ensemble_weightfile.format(bs, idx)\n",
    "        evs = RMT_Util.get_eigenvalues(model,weightfie,layer=7)\n",
    "        evals.extend(evs)\n",
    "\n",
    "\n",
    "    plt.hist(evals,bins=100);\n",
    "    plt.title(\"Batchsize {} ESD Layer 7, 10 runs\".format(bs))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:09.175366Z",
     "start_time": "2018-09-05T19:48:09.167544Z"
    }
   },
   "outputs": [],
   "source": [
    "def ensemble_evals(batch_size, layer=LAYER_FC1):\n",
    "    \"\"\"Read weightfiles for ensemble of batchsizes, compute eigenvalues for all ensembles\"\"\"\n",
    "    evals = []\n",
    "    for idx in tqdm(range(1,NUM_ENSEBMBLE_RUNS+1)):\n",
    "        weightfile = BATCHSIZE_ensemble_weightfile.format(batch_size, idx)\n",
    "        evs = RMT_Util.get_eigenvalues(model,weightfile,layer=layer)\n",
    "        evals.extend(evs)\n",
    "    \n",
    "    evals =  np.sort(evals)[::-1]\n",
    "    return evals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:09.191850Z",
     "start_time": "2018-09-05T19:48:09.177309Z"
    }
   },
   "outputs": [],
   "source": [
    "def rmt_plot_fc1(batch_size, num_spikes, eigenvalues):\n",
    "    \"\"\"Create ESD plot, and overlay RMT MP fit\"\"\"\n",
    "    evals =  np.sort(eigenvalues)[::-1]\n",
    "    \n",
    "    RMT_Util.plot_ESD_and_fit(eigenvalues=evals, Q=Q7, \n",
    "                              num_spikes=num_spikes, alpha=ALPHA)\n",
    "    plt.title(TITLE_FC1.format(batch_size))\n",
    "    plt.xlabel(XLABEL_FC1)\n",
    "    plt.ylabel(YLABEL)\n",
    "    plt.legend()\n",
    "    plt.tight_layout()\n",
    "    \n",
    "    filename=FC1_FILENAME.format(batch_size)\n",
    "    plt.savefig(filename)\n",
    "    print(\"saved figure {}\".format(filename))\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:09.207010Z",
     "start_time": "2018-09-05T19:48:09.193345Z"
    }
   },
   "outputs": [],
   "source": [
    "def rmt_plot_fc2(batch_size, num_spikes, eigenvalues):\n",
    "    \"\"\"Create ESD plot, and overlay RMT MP fit\"\"\"\n",
    "    evals =  np.sort(eigenvalues)[::-1]\n",
    "    \n",
    "    RMT_Util.plot_ESD_and_fit(eigenvalues=evals, Q=Q8, \n",
    "                              num_spikes=num_spikes, alpha=ALPHA)\n",
    "    plt.title(TITLE_FC2.format(batch_size))\n",
    "    plt.xlabel(XLABEL_FC2)\n",
    "    plt.ylabel(YLABEL)\n",
    "    plt.legend()\n",
    "    plt.tight_layout()\n",
    "    \n",
    "    filename=FC2_FILENAME.format(batch_size)\n",
    "    plt.savefig(filename)\n",
    "    print(\"saved figure {}\".format(filename))\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# FC1 \n",
    "\n",
    "### Batch Size 2\n",
    "\n",
    "#### Can not fit to MP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:09.211234Z",
     "start_time": "2018-09-05T19:48:09.208565Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['figure.figsize'] = [5,5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:48:09.216007Z",
     "start_time": "2018-09-05T19:48:09.213109Z"
    }
   },
   "outputs": [],
   "source": [
    "num_spikes = {2:0, 4:520, 8:325, 16:175, 32:90, 50:90, 100:75, 150:50, 250:0, 500:0, 1000:0} "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-15T14:32:24.478690Z",
     "start_time": "2018-06-15T14:32:24.471173Z"
    }
   },
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:37.715263Z",
     "start_time": "2018-09-05T19:48:09.217727Z"
    }
   },
   "outputs": [
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      "\n"
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     "text": [
      "\n"
     ]
    },
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     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "stable_ranks = []\n",
    "soft_ranks =  []\n",
    "for bs in batch_sizes:\n",
    "    \n",
    "    ns= num_spikes[bs]        \n",
    "    evals = ensemble_evals(bs)\n",
    "    stable_ranks.append(RMT_Util.stable_rank(evals))    \n",
    "    \n",
    "    soft_ranks.append(RMT_Util.mp_soft_rank(evals, ns))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:37.721599Z",
     "start_time": "2018-09-05T19:49:37.717187Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2, 4, 8, 16, 32, 50, 150, 250, 500, 1000]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "soft_ranks[0]=0.0\n",
    "batch_sizes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:38.408446Z",
     "start_time": "2018-09-05T19:49:37.723751Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved file img/mini-alexnet-softrank-per-batch-fc1.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "x = batch_sizes\n",
    "ax1.invert_xaxis()\n",
    "#ax1.invert_yaxis()\n",
    "ax1.set_xscale('log')\n",
    "ax1.plot(x, stable_ranks, 'b-')\n",
    "\n",
    "ax1.set_xlabel('log10 batch size')\n",
    "# Make the y-axis label, ticks and tick labels match the line color.\n",
    "ax1.set_ylabel('stable rank', color='b')\n",
    "ax1.tick_params('y', colors='b')\n",
    "\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "ax2.set_xscale('log')\n",
    "ax2.plot(x, soft_ranks, 'g.')\n",
    "ax2.set_ylabel('MP soft rank', color='g')\n",
    "ax2.tick_params('y', colors='g')\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.title(\"Mini AlexNet FC1:\\nStable Rank vs MP Soft Rank\")\n",
    "\n",
    "#plt.text(5, soft_ranks[0], \"  2\", fontsize=12)\n",
    "#plt.text(10, soft_ranks[1], \"  4\", fontsize=12)\n",
    "#plt.text(8-4, soft_ranks[2], \"  8\", fontsize=12)\n",
    "#plt.text(16-10, soft_ranks[3], \"  16\", fontsize=12)\n",
    "#plt.text(32-20, soft_ranks[4], \"  32\", fontsize=12)\n",
    "#plt.text(64-45, soft_ranks[5], \"  50\", fontsize=12)\n",
    "#plt.text(100-60, soft_ranks[6], \"  150\", fontsize=12)\n",
    "#plt.text(250-180, soft_ranks[7], \"  250\", fontsize=12)\n",
    "#plt.text(500-50, soft_ranks[8], \"  500\", fontsize=12)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig(SOFTRANK_FILENAME_FC1)\n",
    "print(\"saved file {}\".format(SOFTRANK_FILENAME_FC1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:38.414335Z",
     "start_time": "2018-09-05T19:49:38.410489Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2, 4, 8, 16, 32, 50, 150, 250]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batch_sizes[0:8]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:38.675303Z",
     "start_time": "2018-09-05T19:49:38.415937Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved file img/mini-alexnet-softrank-sec3.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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kYJz/zwD/lybteuAFjE+tG6YT4wDmIZ3oPDgAqOpRMaO1HgF6YgY8KCYGdiXmjeniY4zbpDXGkAZj3uLPY2Kmz2R1Eqr6g9NaHokxEqWcMiZgeuDzw0vQjap+6rQEhmN8bicwUS7/JIsXUaBR1bkicguXOpROYozTPzEvxJ2B0y5H2Yi5d2/CRBpdh7nnj2E6yz4EZqSOSFLV/Y7veRTGeHfEPFPTMSGsvkYagXkmkzHhZndiWrVLyaDjzBdUdYOILHR0uw34TFVXixlVN8ap5xzmy+hWzPOT4zjG+U6M7RgqIsmq+jhmMFYPTEdhV0wj7Xfg75hw30wRz+gwi8UiIvUwLbsPVPWeQOtjKXrkZx+gxZKriEiptH5XEYnADKgCz097iyXPyG64nMVSkLkG4490xb1XwAweiOFSHKzFkudYV4alyCJm0qmJmM7Lihjf5w5MjPEkVT0fQPUsRRhrmC0WiyWfUSRdGRUqVNDY2NhAq2GxWHzkxx9/TFDVdKM0CytF0jDHxsayfn2Gc/JYLJZ8hojsDrQOeYmNyshBpk+fjoi4t9DQUK688kpGjBjBuXPpJsLKdUaPHo3niNXAEhsbS//+/d37rusVHx/vkaZv3755r5zFko8oki3m3GbOnDlUrVqVU6dOMW/ePCZMmMCpU6d47bXXAq1avqJLly6sXr2aypUL9YLHFovfWMOcCzRs2JBatWoB0KFDB7Zv3857773HK6+8QlCQ/UhxERUVRVRUkXEbWiw+Y61EHtC4cWPOnj1LQoKZJfXIkSMMHDiQv/zlLxQvXpxq1apx1113sX+/53zbLlfE9u3b6dKlCyVLliQmJoYxY8aQkuI5jcNPP/1EmzZtCA8Pp0qVKowdOxZvETcnT55k8ODBREdHExYWRu3atZkyZYpH2qVLlyIizJ8/n4EDB1K+fHnKlSvHsGHDSE5OZt26dbRu3ZoSJUpQr149Fi9efFnXxZsrIy3Jyck88MADlC5dmu+++84t37RpE926daNcuXJERETQqlUrli/Parpri6VgYFvMeUB8fDxlypQhMjISgMTERMLDw5kwYQJRUVEcOHCAl156iVatWrF161bCwz0X5+3RowcDBgxg2LBhLFiwgFGjRlGtWjUGDBgAQEJCAjfeeCOVKlVixowZhIWFMWnSJPbs8ZzOICUlhS5durBhwwbGjBnDX//6V7766iseffRRjhw5wvPPP++RfujQodx6663Mnj2bZcuWMW7cOJKSkvj2228ZPnw4VapUYdy4cdx6663s3r2bChX8mRM/a86ePUvv3r1ZvXo1S5cupXHjxgBs2LCBNm3a0KhRI9555x2KFy/Om2++Sfv27Vm1ahVNmqRbPNliKVhcznpUBX1r0qSJ5gbTpk1TQLdu3aoXL17UxMREfe+99zQ4OFhfe+21DPMlJSXpnj17FNDPP//cLR81apQC+v7773ukr1+/vnbo0MG9P2LECA0JCdHdu3e7ZadPn9bIyEg1/2LDggULFNBp06Z5lHffffdpaGioHjlyRFVVlyxZooAOGDDAI12jRo0U0OXLl7tlmzZtUkCnT5+e5fWJiYnRfv36ufdd12vXrl0eafr06aOJiYnaunVrrVmzpm7fvt2jnBtvvFHr1Kmj58+fd8uSkpK0Tp062r179yz1sBQ8gPWaD2xHXm0Bc2WIUFWE10RYLcIZEVSEWB/zBonwlAjxIpwTYZMIt+Wyyj5Tp04dQkJCKF++PPfddx8DBw5k8GDPWRL//e9/c80111CyZEmKFStG9epmTvlt29JP1telSxeP/fr163u0hlevXk3z5s3dZQCUKFGCW265xSPfsmXLCAoKonfv3h7yvn37cuHCBVavXu0hv+mmm9KdV4kSJWjdurWHDGDvXrMwi6qSlJTk3pKTfVk1yZMDBw7Qpk0bTp8+zcqVK93+ejCt6B9++IGePXsSFBTkrkdVad++PcuWLfO7PkvOc+LECXbs2MGWLVsy3Xbs2MGJEzm+ileBJ5CujFpAL8wcw8sx0wr6yljMOlpPO/nvBOaI0FWVr3NaUX+ZN28eVatW5ciRI0yePJk33niD6667jnvuMROVvfbaazz88MM8+uijTJo0iXLlypGSkkLz5s29htWVL1/eYz8sLMwj3cGDB6lfv366fFdc4blIQmJiIuXLlycszHPZs0qVKrmPp6ZcOc+5xUNDQylbtmw6GeDWZ8aMGW4XC0BMTEymPmRv/Pzzzxw9epSJEye6dUt9DsnJyYwdO5axY8d6zZ+SkmI7WQPIuXPnOHToEFWrViUiIiLDkE1V5ezZs+zbt4+wsLB0LryiTCAN8zJVs7KHCPfjo2EWoSLGKE9U5UVHvESEWph5D7JtmD/8EJ5+GvbsgerVYfx46NPH9/z169d3t/JuvPFGGjRowPDhw7ntttsoUaIEn3zyCe3ateOll15y59m1a9dl61u5cmUOHUq/PF1aWfny5UlMTOTChQtugwrwxx9mbU2XDzw73HLLLaxbt869n/Yl4AudO3fmmmuu4YknniA8PJxHHnnEfaxs2bIEBQXx0EMPuV90abFGObAcOXKEqKgoihfPfClQEaF48eJUqFCBI0eOUK1atTzSMP8TMMOsmm51CF/phFmSfFYa+SzgfRFqqHLZVu7DD+GBB+CMM6X97t1mH/wzzi5cHXHdu3fnjTfeYPjw4Zw5c4bSpT0XGJ42Lcu5szOkRYsWTJo0ib1797pv7j///JMFCxZ4pIuLi2PSpEnMmTOHPqlO5sMPPyQ0NJTmzf1e2jAdkZGROWLghw8fTrFixRg6dCgpKSkMG2YWhihRogRt2rRh06ZNNG7c2BrhfMi5c+fSfelkRqlSpTh69GgualTwKIhRGfWA85jVAFKz2fmtC5dvmJ9++pJRdnHmjJFfjmEG6NatG9deey0vvvgigwcPpnPnzrzwwgs8//zzNGvWjO+//57PPvvsclVm2LBhvPHGG3Ts2JHRo0e7XwYREZ5r0N500020bt2aBx98kCNHjlCvXj2+/vpr3n33XZ566qkcj6rILsOGDSM4OJihQ4eSnJzM448/DsDkyZO5/vrr6dSpE/fddx+VK1cmISGBDRs2kJyczMSJEwOsedEmKSmJYsV8Ny3FihUjKSkpFzUqeBREw1weOK5K2iDdxFTH0yHCA5glp6ieydrNezJYMCcjua+MGzeOTp068eabbzJy5EiOHz/OlClTOHfuHHFxcSxevJiaNWteVtkVKlTgu+++45FHHqFfv35ERkby4IMPkpSUxJgxY9zpgoKC+OqrrxgxYgQvvPACR48eJTY2lsmTJzN06NDsnWAu8fDDDxMcHMyQIUNISUnhiSeeoHHjxqxbt47nnnuOhx9+mBMnThAVFUXjxo158MEHA62yBfyaCiA/TRuQX8gX0346PuZ3gBqqxGeR9h2gqyqV08ivAn4D7lHlg8zKaNq0qWY0iVFsrHFfpKVqVXACDywWSyZs2bKFq6++OkfziMiPqto0u7oVFAqigy4RKCdC2tdsuVTHL5vx4yFtn0VwsJFbLBZLXlAQDfNmIAy4Mo28rvP7a3YK79MH3n4bYmJAxPzOmAH33AOHD8PWrdkp3WKxWLKmIBrmRcAFIG1XXF/gl+xEZLjo0wfi4yElxfy6Ov0GDIDWrWHt2uzWYLFYLBkTUMMswu0i3A64Jje4yZHFpUqTJMJ7rn1VDgNTgKdEeFSEtiL8G7gRGJGb+r76KpQpAzfeCP/9b27WZLEUbPzpu8oP/Vz5jUBHZcxJs/+G8/sD0Nb5O9jZUvM0cBp4BKgEbAN6qbKAXOTKK2HFCujcGbp0gVmzoFev3KzRYil4hISEcPbs2SwHmLg4e/YsISEhuaxVwSJfRGXkNZlFZfjC8ePQrRscOQKbNkGqQXQWS5Hn5MmTHDp0iCpVqvg0JHv//v1cccUV6QZdpaaoRWUEusVcIClbFhYvhsREY5STkkzkhg3HtFhwG9gDBw5w8eLFTNOGhIRkaZSLItYwXyYREVCliukg7NfPGOtXXzUG2mIp6pQuXdoa22xQEKMy8hUixkC/8QbcdRecPx9ojSwWS0HHtpiziQj8618QFQVPPGHcG59/DqVKBVozi8VSULEt5hxi+HCYNg2WLIEePaAI9qlaLJYcwhrmHKR/f5g3D555Jv92BLoWQHVtwcHBVKlShV69enmsnuJaCDav8VaviDB69Og81yWn2bhxI6NHj063IIHFkhbryshhUq/m9PbbZqRg3boZpw8Uc+bMoWrVqiQnJ7Njxw7Gjh1Lu3bt2Lx5M2XKlAm0eh6sXr2aqlWrBlqNbLNx40aee+45+vbtm25VGoslNdYw5xInT8Jzz8G5c/DVV5ADc9DnKA0bNnSvstKqVSuio6Pp0KEDq1atSrfWX6DJiQn8LZaChHVl5BKlS5tRguXKQbt2sGhRoDXKHFdoU2Zxp0lJSUyYMIE6deoQFhZGdHQ0jz32WLp1Cs+cOcOTTz5JjRo1CA0NpUaNGowfP56UFM9Fa3766SfatGlDeHg4VapUYezYsV6H56Z1ZbjcHdu3b6dLly6ULFmSmJgYxowZk66ODRs2uOuoVq0azz//PKNGjfLZTbNt2zZ69OhB2bJliYiIoHnz5ixK88/s378/sbGx6fK2bduWtm3bAsaF5FoL8aqrrnK7kvxdD9FSNLAt5lykRg1YudIM4b7lFjNL3V13BVorQ3JysnsV6507dzJixAgqVqzoNiTe6Nu3LwsWLODJJ5+kZcuWbNmyhWeffZb4+Hjmzp0LGOPdqVMnfv31V5599ln++te/smbNGsaOHUtiYqJ7ncOEhARuvPFGKlWqxIwZM9yrruzxY0WCHj16MGDAAIYNG8aCBQsYNWoU1apVcxvAhIQE2rVrR3R0NDNnziQ0NJQpU6b4bAwPHDhA69atKVWqFFOnTqVMmTK8/vrrdOnShYULF/r1ZdGlSxeeeeYZxo0b53YjgVmv0WJJh6oWua1Jkyaalxw/rtq2rerUqaqzZqnGxKiKmN9Zs/JUFZ02bZoC6bbo6Ghdu3atO92oUaPU3B6GZcuWKaAzZszwKG/WrFkK6E8//aSqqjNnzlRAf/jhB49048aN05CQED106JCqqo4YMUJDQkJ09+7d7jSnT5/WyMhIj3pVVQEdNWpUOt3ef/99j3T169fXDh06uPefeuopDQkJ0b1797plZ86c0YoVK6arwxuPPfaYBgcH6/bt292ypKQk/ctf/qKNGjVyy/r166cxMTHp8sfFxWlcXJx733XtU5dn8Q1gveYD25FXm3Vl5AFlysC335rRgQ88YFZIUb200OuHH+a9TvPmzWPdunWsXbuW+fPnU7duXW6++Wa2bNniNf2iRYsIDQ3ltttuIykpyb117GgWN1+2bJk7XUxMDC1btkyX7uLFi6xZswYwHXrNmzeneqp1vkqUKMEtqXtPs6BLly4e+/Xr1/doca9Zs4YWLVp4dBxGRESky+f6enBtLnfIsmXLaN68udsXDxAcHEzv3r3ZuHEjJ0+e9FlXi8UfrGHOI4KDM1/oNa+pX78+TZs25dprr6V79+58+eWXqGqGYWmHDx/mwoULlCxZkpCQEPdWsWJFAPcqx4cPH2b37t0eaUJCQmjWrJlHuoMHD3LFFVekq8ebLCPSRjaEhYV5+LsPHjzo1i+zOtq1a+ehq2udxMTERK+uhkqVKqGqHDt2zGddLRZ/sD7mPCS3FnrNCSIiIqhZsyY///yz1+ORkZGEh4ezfPlyr8ejo6Pd6WrUqMGnn37qNZ2rk6xy5cocOnQo3XFvssulcuXKHD58OMs63nrrLU6dOuXed51L+fLl+eOPP9Ll/+OPPxAR94shPDycCxcupEt39OhRIiMjs3UOlqKJNcx5SPXq3hd6DQ+H5OTAToB05swZduzYQb169bwe79y5My+88AInTpygXbt2GZbTuXNn5s6dS8mSJalTp06G6Vq0aMGkSZPYu3cv1apVA+DPP/9kwYKcm1K7efPmvPjii+zbt8/tzjh79ixfffWVR7ratWt7zR8XF8fLL79MfHy8+4WSnJzM7NmzadSoEaWccfcxMTEcOnSIhIQEKlSoAMCOHTvYtm0bLVu2dJcXFhYUyq5TAAAgAElEQVTm1sFiyQzryshDvC30GhJiwulcRjlNtFeusXHjRtasWcPq1av5/PPP6dq1K4mJiQwZMsRr+rZt29K7d29uv/12xo4dy+LFi/nvf//LO++8Q48ePfjtt98A6NOnDy1btqRdu3ZMnjyZ7777jv/85z9MnTqVjh07csbx5QwbNowSJUrQsWNHZs+ezfz58+nYsSMRERE5do6PPvooJUqUoFOnTnz66ad88cUXdO7cmbCwMJ/C5YYNG0bZsmXp0KEDH330EQsXLuSWW27ht99+Y3yq1Xl79uyJiNCnTx8WL17Mhx9+SPfu3d1G2kVdZ6TR66+/zurVq1m/fr3XlrbFEvDex0BseR2VkZrMojJWrFCtV0916dLcq99bVEZUVJTecMMNumjRIne6tFEZqqrJycn68ssva4MGDTQsLExLly6tDRo00OHDh+vx48fd6c6ePaujRo3S2rVra2hoqJYrV06bNm2qo0aN0osXL7rT/fjjj9q6dWsNCwvT6OhoHTNmjI4cOdLnqIzUZal6j4748ccftVWrVh51PPzww1q2bFmfrtfWrVu1e/fuWrp0aQ0LC9PrrrtO//Of/6RLN2/ePK1Xr56Gh4drgwYNdPHixemiMlRVR48erdHR0RoUFKSA7tq1yyc9ijoUsagMu4JJPmLpUrPga3y8WZV70iTw0ndlyQbJyck0btyYChUq8N133wVaHYuP2BVMLAGjbVvYvNm4PCZNggULYPJkMzmS5fJ49tlnqVWrFjExMRw9epR3332Xn3/+ma+//jrQqlksGWINcz6jeHFjmPv2hUGDwIkus1wmIsKYMWM4cOAAIkKDBg2YP39+vpsPxGJJjXVl5GNUTWdgcDDMng2rV8OYMWYeDoulKFHUXBk2KiMfI3IpWmPzZrOm4NVXw6ef2on4LZbCjDXMBYQxY2DNGqhUCe64w0yMtH17oLWyWCy5gTXMBYhmzWDtWtNyXrMGMhikZ7FYCjjWMBcwgoNhyBDYuRNuvdXI3n0X/vvfwOplsVhyDmuYCyiRkcYHnZwMU6dCx45w551w4ECgNbNYLNnFGuYCTnCwcWs89xzMnw916hhXR1JSoDWzWCyXizXMhYDwcBg5En75BVq2hKFDzd8Wi6VgYg1zIaJWLfjPf2D9emjY0Mg+/BDstMEWS8HCGuZChgg0bmz+3rvXDOeuXRtmzrSxzxZLQcEa5kJMtWqwbh1ceSX06wc33AC//hporSwWS1ZYw1zIadjQrNT91lsm7rlVKzh9OtBaWSyWzLCGuQgQFGQWfd22DT76CEqWNG6NFSsCrZnFYvGGNcxFiKgocE2q9uWX0KYN/O1v+WPNQYvFcglrmIsoN98ML7xgRgxefTX8619w8WKgtbJYLGANc5ElJASeeMJ0BnboAE8+CV27Blori8UCdqL8Ik9MjBkxuGDBpSlGL1yAEyeM68NiseQ9tsVsAeCWW4x7A+Cll0zs89tv592q3RaL5RLWMFvS0b07NGgAAwdC69awaVOgNbJYihYBM8wiVBPhMxFOiHBShM9FqO5j3uoizBBhjwhnRPhNhHEilMhtvYsCdevCkiVmtODvv0OTJvDaa4HWymIpOgTEMItQHPgeqAP0A+4GrgKWZGVcnePfAtcDzwJdgHeBx4D3c1HtIoUI3H23iX3++9/huuuM/MIFM/9GbKyJj46NNfsWiyXnCFTn39+BmkBtVX4HEOFnYDswEJicSd5WGCPeSZVvHNkSEcoDj4tQXJUzuad60aJcOfj3vy/td+4MP/xwyfe8e7cZvALQp0/e62exFEYC5croBqxxGWUAVXYBK4HuWeQNdX5PppEfx5yP5JSSlvRs3Ji+Q/DMGXj66cDoY7EURgJlmOsB3mYM3gzUzSLvt5iW9Qsi1BWhpAg3Ao8Ab6ryZ86qaknN8ePe5Xb0oMWScwTKMJcHvM0SnAiUyyyjKueA1hjdNwOngO+AhcDgjPKJ8IAI60VYf+TI5aptqZ5B92xGcovF4j+BDJfzNjtwlm4IEcKB2UBFTKdhHDAcuAN4PcPKlLdVaapKUztw4vIZPx6KF/eUFS9u5Nu2BUYni6WwESjDfAzTak5LOby3pFNzH9AWuFmVWaosU+VFTFTGgyJck6OaWjzo08cMPImJMZEbMTFm/+RJE/s8Y0agNbRYCj6BisrYjPEzp6UukNVU7n8FjqmyI418rfN7NWCHROQiffqkj8A4dgzmzjUrpvz6Kzz//KUh3haLxT8C1WL+EmguQk2XQIRYTCjcl1nk/QMoJ0KtNHIn0pb9OaWkxXfKlTPrDf7jH2amultvtRPyWyyXS6AM8ztAPPCFCN1F6AZ8AewF3nIlEiFGhCQRRqbKOx3T4fe1CP1EuEGE4cCLwI+YkDtLAAgJgTfeMKMEFy0yi8LmNtOnT0dE3FtwcDBVqlShV69ebLsMp/fSpUsREZYuXeqWtW3bltatW+eg1jmP6zrEx8e7ZbGxsfTt2zdwSlkum4C4MlT50wlxmwJ8gOn0+w4YqkrqdpYAwaR6gagSL0JzYDQwDqiAMehvA+NVsdPuBJjBg6FHD6hSxewfPgwVK+ZunXPmzKFq1aokJyezY8cOxo4dS7t27di8eTNlypTJ3crzAV26dGH16tVUrlw50KpYcoCATfupyh7gtizSxOMlUkOVX4FeuaOZJSdwGeXFi42Rfued3B0Z2LBhQ2rVMt6tVq1aER0dTYcOHVi1ahU3uZZtyWPatm1LbGws06dPz/W6oqKiiLLhRoUGO7ucJVdp2tTMs9G3rxkdmFfTiJYuXRqAi86yLP379yc2NjZdurZt29K2bVu/yx87diyhoaF8mM2JQj766CMaNWpEyZIlKVOmDH/961956y23N4/+/ftTtWpVVq1axbXXXkt4eDixsbG8lmZWKW+ujLQkJyfzwAMPULp0ab777ju3fNOmTXTr1o1y5coRERFBq1atWL58uUfedevW0aFDByIjIylevDg1a9Zk0KBB2Tp3S8bYifItuUpkpGk1P/SQidTYsgU++ABK5PA8gMnJySQlJZGcnMzOnTsZMWIEFStWvCyjmxkpKSkMHjyYmTNnsmDBAjp16nTZZa1YsYK+ffvy8MMPM2nSJFJSUti6dSvH0wyvPHnyJHfccQdPPvkktWrV4pNPPuHhhx+mVKlS9O/f36e6zp49S+/evVm9ejVLly6lcePGAGzYsIE2bdrQqFEj3nnnHYoXL86bb75J+/btWbVqFU2aNOH06dN06tSJZs2aMX36dEqVKkV8fDyrVq267HO3ZI41zJZcJzTUxDrXrQuPPw5z5piwupykTp06HvvR0dEsXLjQ3XLOCc6fP89dd93FsmXL+P7772nWrJnH8aSkJI99VUVVPeSuDkqANWvWULZsWV5++WX38Y4dO6ar99SpU7z99tvceeedAHTu3Jn9+/czatQo+vXrh0jm47KOHTtGt27dOHDgACtXrnS7fACGDx9O9erV+f777wkNNdPQdOrUifr16zN27Fjmz5/P1q1bOXbsGP/6179o0KCBO6+vLwWL/1hXhiVPEIFhw2DDBujXz8jO5OAcgPPmzWPdunWsXbuW+fPnU7duXW6++Wa2bNmSI+WfOnWKjh078uOPP7JixYp0Rjk+Pp6QkBCPbdmyZcycOdNDduWVV7rzXHvttRw7doy+ffuycOHCdC1lF8HBwdx2m2d3zJ133smePXvYvz/z6NADBw7Qpk0bTp8+nc4onz17lh9++IGePXsSFBREUlISSUlJqCrt27dn2bJlAFx11VWULVuWgQMHMmvWLPbu3evXtbP4jzXMljzlmmuMkd6yBWrWhE8+yZly69evT9OmTbn22mvp3r07X375JarK6NGjc6T8PXv2sHLlSm666SZq166d7nh0dDTr1q3z2Bo3bkzXrl09ZAsWLHDniYuLY86cOezdu5cePXoQFRVF+/bt+fnnnz3KLleuHCEhIR6yK664AiBLw/zzzz+zefNm7rzzTipVquRxLDExkeTkZMaOHZvupTJ16lSOHTtGSkoKZcqUYcmSJURHRzNo0CCqV69O/fr1mTt3rl/X0OI71pVhCQgVKsBf/gK9e8Onn8KPP8LevWYypPHjsx/BERERQc2aNd1GLjw8nAsXLqRLd/ToUSIjI7Msr169ejz00EPcfffdREREMHmy55ThoaGhNG3a1ENWqlQpIiMj08lTc/vtt3P77bdz+vRpli5dypNPPknnzp3Zt28fQUGm3XTs2DEuXrzoYZwPHToEQBVX+EsGdO7cmWuuuYYnnniC8PBwHnnkEfexsmXLEhQUxEMPPcQ999zjNb9Lh4YNGzJ37lySkpJYv349EyZMoFevXmzatIn69etnqoPFf6xhtgSEqCj49lvo0AHmzbskz6mJ98+cOcOOHTuoV8+M/I+JieHQoUMkJCRQoUIFAHbs2MG2bdto2bKlT2X27t2bYsWKcdddd5GSkuLhG84uJUuWpGvXruzcuZNHHnmEo0ePusPfkpOTmTt3rtvHDPDJJ59QvXr1LA0zGD9ysWLFGDp0KCkpKQwbNgyAEiVK0KZNGzZt2kTjxo3dRjgzihUrRvPmzRk7dixffvklW7ZssYY5F7CG2RIwQkPBW3SXa+J9fwzzxo0bSUhIQFU5ePAgU6dOJTExkSFDhgDQs2dPnn32Wfr06cOjjz5KQkICEyZMcBtpX3H5Y3v37k1KSgqvvvqqX/lTM3LkSA4dOsQNN9xAdHQ0+/bt49VXX6Vhw4YeMcmlSpXiiSeeICEhgauuuoqPP/6Yb7/91h0i5wvDhg0jODiYoUOHkpyczOOPPw7A5MmTuf766+nUqRP33XcflStXJiEhgQ0bNpCcnMzEiRNZuHAhb7/9Nn/729+oUaMGf/75J6+++iqlSpWiRYsWl33+lkxw9RwXpa1JkyZqyR+IqEL6TcS3/NOmTVPMFLLuLSoqSm+44QZdtGiRR9p58+ZpvXr1NDw8XBs0aKCLFy/WuLg4jYuLc6dZsmSJArpkyRK3LC4uTlu1apWurNDQUB00aJCmpKR41S0uLk779euXoe4LFy7Ujh07aqVKlTQ0NFSrVq2q9957r+7fv9+dpl+/flqlShVduXKlNm3aVMPCwrR69er6yiuveL0Ou3btcstiYmK0T58+HummTp2qIqIvvPCCW/brr7/qHXfcoVFRURoaGqpVqlTRW265Rb/66itVVd26dav26tVLY2NjNSwsTCtUqKA33XSTrlmzJsNzy2mA9ZoPbEdebWLOuWjRtGlTXZ8XEzlYsiQ21rgv0hIT4701XdTo378/3377Lfv27Qu0KgFFRH5U1Yyd9YUMG5VhCSjeJt4HiIvLe10slvyCNcyWgJJ24v3q1aFxY5g1C77+OtDaWSyBwboyLPmO06fh+uth+3ZYscLEPluKNtaVYbEEmJIlYcECKFMGHn000NpYLHmPDZez5EuqVIFvvgFngJvFUqSwLWZLvqVuXTM73fnzMHVq3k0ZarEEGmuYLfme+fNhyBB48slAa2Kx5A3WlWHJ9/TqBcuWwYsvwlVXXRqybbEUVqxhtuR7ROCVV2DXLhg0CGrUMHNsWCyFFevKsBQIihUzU4TWrQv33w9eJoqzWAoNtsVsKTCULg0LF8KpU2YCJIulsGJbzJYCRfXqUK+emerogw/g7NlAa2Sx5DzWMFsKJBs3miWq+ve3YXSWwoc1zJYCSaNG8MILZvWTkSMDrY3FkrNYH7OlwPL44/Dbb2aGulq1cn7lbYslUNgWs6XAIgJvvAHt2sE//gEHDwZaI4slZ7AtZkuBJiQEPvsM1q6FypUDrY3FkjPYFrOlwFO2LHTsaP7+7jtISAisPhZLdrGG2VJoSEiA7t2hRw8z8ZHFUlCxhtlSaKhQAd57z0yuf//9JtbZYimIWB+zpVBxxx1m5ZNnnzUTHtlQOktBxLaYLYWOp5+Ge+6BUaNg9epAa2Ox+I9tMVsKHSJmgdd27aB580BrY7H4j20xWwolYWGm1SwC27bBzp2B1shi8R3bYrYUapKSoGtXM23oqlVQrlygNbJYssa2mC2FmmLFTKTGjh1w++1w8WKgNbJYsiZHDbOIbYFb8h/XXw/vvgvff2+GbtswOkt+xy/DLMITmRwrBnyabY0sllzgnnvgmWdM63nmzEBrY7Fkjr8t3HEiHFTlg9RCEYKAT4AbckwziyWHGTMGKlUysc4WS37GX1fGQOAdETq7BI5Rng10AG7ytSARqonwmQgnRDgpwuciVPcj/9UizBEhQYSzImwT4RF/TsZStBCBhx6C8HA4fhz+7/8CrZHF4h2/WsyqTBOhEjBHhHbAOuBjoBPQWZU1vpQjQnHge+A80A9QYBywRIQGqvyZRf6mTv6lwP3ACeAqoKQ/52MpuvTtC+vXw//+BzExgdbGYvHE7846VSaIEA18BawCbgRuUmWVH8X8HagJ1FbldwARfga2Y1rlkzPK6LTQZwDfqdIj1aElfp2IpUgzaRK0aAGtW5uW9L59Zj3B8eOhT59Aa2cp6lxuVMbDmBbrjUAXVVb4mb8bsMZllAFU2QWsBLpnkbctUJdMjLfFkhVXXw2DBhmDvHevidTYvRseeAA+/DDQ2lmKOlkaZhH2irAn9QbsBto4+WelOrbbx3rrAb94kW/GGN3MaO38houwRoSLIhwW4VURInys32Lho4/Sy86cMXNtWCyBxBdXxncYH3BOUh445kWeCGQ1Niva+Z0NTAX+CTQFxgDVwMO94UaEB4AHwHyyWix79vgnt1jyiiwNsyr9c6lub8ZefMjnauXPUsU1qeNSEYKBiSLUVeXXdJUpbwNvAzRtmuMvGksBpHp1477wJrdYAkmghmQfw7Sa01IO7y3p1Bx1fv+bRv6N89swG3pZihDjx0Px4p4yETuHsyXw+B2VIUJp4GagOhCe5rCqMtaHYjZj/MxpqQvpW7te8kL6FrertZ3iQ/0Wizv64umnjfsiKgoOHzbrBg4YYIy0xRII/DLMIrQCFgBlM0ii4JNh/hJ4UYSaqux0yo4FWmF8xpnxH0z8c2dgYSp5J+d3vQ/1WyyAMc6pw+PGjzdDt9u0gQcfDJxelqKNv66Ml4F44FogXJWgNFuwj+W845TzhQjdRegGfAHsBd5yJRIhRoQkEbcvGVWOAhOAB0V4XoT2IvwTGAnMSB2CZ7H4y1NPQefO8MgjsGFDoLWxFFX8dWVcDfRS5cfsVKrKnyLcCEwBPsC4Ib4DhqpyOlVSAYJJ/wIZA5wCBgGPAweBSfjWWrdYMiQoCD74AP72NzOXs8USCPw1zHuAsJyoWJU9wG1ZpInHS6SGKooZYGIHmVhynAoVYPly62O2BA5/XRnPAf90OgAtlkKLiGkxP/44TLavf0se42+LuStwBbBLhNWYASGpUVX65YhmFkuACQ42K5+88opZ1LVly0BrZCkq+GuYW2MiL07iPdzNDtywFBpEYNo0aNLEzOH800/GzWGx5Db+TvtZI7cUsVjyI2XLwpw5Zia6vn3h669NB6HFkpvYW8xiyYLGjY0744cfYNOmQGtjKQpc9uKpIlQk/cg/V7SFxVKoGDjQxDfHxgZaE0tRwN/FWIOcQR1HMbHDu7xsFkuhQ+SSUf74Yzh4MKDqWAo5/royhgIPAS9h4oufxywJtQvYgVmZxGIptBw4APffD7172wEoltzDX8M8ADPq7gVnf54qozAjAveD74upWiwFkeho+Pe/jb951KhAa2MprPhrmGsC61VJBpLArBiiykXMPBr35qx6Fkv+4557TKv5+edNlIbFktP4a5hPcKnD7wBQO9WxYnifY9liKXS8+io0aAB33w3HjwdaG0thw9+ojJ8wcyYvdrbnRDiLaT2PB+x8XJYiQUQEfPYZbNxoYp0tlpzEX8P8MsadATAKaAy41hTeDQzOIb0slnzPVVeZDcxq21WrBlYfS+HBL1eGKv9VNfMlq/IH0Az4C2Y5p7+o8nPOq2ix5G+WL4crr4TPPw+0JpbCgs+GWYRQEeaJcL1Lpoqq8rsqPzsdgBZLkeO666BhQ7Mc1e92mQZLDuCzYVblAtDenzwWS1EgNBQ+/dTMRtezJ5w7F2iNLAUdf43sSqB5bihisRRkYmLMyicbN5plqSyW7OBv599jwHwRTgPzMcOyPab6VLWrVFuKJl26wIgRZvi2ql0BxXL5iKrvUyiLuI1uRplU9fInRsormjZtquvX28W0LTmPNci5g4j8qKpNA61HXuGvER2DnQzfYskQl1Fevhyeew6++AJKlAisTpaCh78T5Y/OJT0slkLF+fPw/ffw4IMwc6ZtRVv8w0ZYWCy5QPv2MHo0zJoF774baG0sBQ1rmIsY06dPR0TcW3BwMFWqVKFXr15s27bN7/KWLl2KiLB06VK3rG3btrRu3ToHtYbY2Fj69++fo2XmNs88Ax07wpAhJlrDYvEVa5iLKHPmzGH16tUsW7aMCRMm8NNPP9GuXTtOnDgRaNUKDUFBpsVcoYJtNVv8I99HUFhyh4YNG1KrVi0AWrVqRXR0NB06dGDVqlXcdNNNAdau8BAVBatXQ5UqgdbEUpCwLWYLAKVLlwbg4kUzsr5///7Eelngrm3btrRt29bv8seOHUtoaCgffvhhlmlfeeUVYmNjCQ8Pp2nTpixfvtxrul27dtGnTx+ioqIICwujYcOGzJs3L126TZs20aNHDyIjI4mIiKB27dpMmDDBffybb77h5ptvpnLlyhQvXpz69evz0ksvkZyc7E7TtWtXGjdu7FWHoKAg3nrrrQzPp1o103revduMELRYssKvFrMII4F3VTng5Vhl4O+qjMkp5Sy5R3JyMklJSSQnJ7Nz505GjBhBxYoVL8voZkZKSgqDBw9m5syZLFiwgE6dOmWa/r333mPo0KH079+fO+64g99//53evXtz6tQpj3R79+7luuuuo2LFikyZMoWoqChmz57Nbbfdxvz58+nWrRsAa9eupW3bttSqVYspU6ZQtWpVtm/fzs8/X5pva+fOnbRr144hQ4YQHh7O+vXrGT16NEeOHGHixIkADBo0iC5durB27VqaNWvmzvv2229TokQJ7rrrriyvxciR8NFHUL06NLfjZy2Zoc5MRL5soMmgzTI41gQ02Z/yArU1adJEiyrTpk1TTCy6xxYdHa1r1651p+vXr5/GxMSkyx8XF6dxcXHu/SVLliigS5Ys8UjTqlUrPXfunN56661aoUIF/d///pelbsnJyVq1alXt1KmTh/yTTz5RQPv16+eW3XvvvVqhQgVNSEjwSNu+fXu95ppr3Ptt2rTRqlWr6p9//pll/aqqKSkpevHiRR03bpyWLVtWk5OT3brVrFlT7733XnfaCxcu6BVXXKEDBw70qezERNXYWNVq1VTTqG3JAmC95gPbkVebv66MzKIxywHn/X4zWALCvHnzWLduHWvXrmX+/PnUrVuXm2++mS1btuRI+adOnaJjx478+OOPrFixwqOVCZCUlOSxAezbt499+/bRq1cvj7S33XYbxYp5ftwtWrSIm2++mTJlyniU06lTJzZt2sTJkyc5c+YMK1eupE+fPhQvXjxDXQ8ePMjAgQOJiYkhNDSUkJAQnnnmGY4fP87hw4cBCAoKYuDAgXzyySfuDtL58+dz6NAhBg4c6NM1KVcO5syBQ4fMyicpdvICSwZk6coQoS1wYyrRQBG6pkkWAXQBNuecapbcpH79+u7OP4COHTtSrVo1Ro8ezezZs7Nd/p49e9i8eTN///vfqV27tsex+Ph4atSo4SHbtWsXhw4dAuCKK67wOFasWDEiIyM9ZIcPH2bmzJnMnDnTa/1Hjx4lNDSUlJQUqmYyg31KSgrdunXjwIEDjB49mjp16hAREcH8+fMZP34851JNFXffffcxatQoPvjgAwYPHsybb75Js2bNaNSoUdYXxKFpU5gyBR56CN58EwYN8jmrpQjhi485DnjG+VsxK2Wn5QLwK/BwDullyWMiIiKoWbOm2/caHh7OhQsX0qU7evRoOiPpjXr16vHQQw9x9913ExERweTJk93HoqOjWbdunUf66OhogoLMB5zLQLtISkri6NGjHrLIyEjatGnDk08+6bX+6OhokpOTCQoKYv/+/RnquWPHDtavX88HH3xA37593fIFCxakSxsZGUnPnj1566236NSpE0uWLOHdy4iD+8c/zG94OMTGwp49xu88fjz06eN3cZZCSJaGWZXngOfAPYlRc1XW5rZilrzlzJkz7Nixg3r16gEQExPDoUOHSEhIoEKFCoAxYtu2baNly5Y+ldm7d2+KFSvGXXfdRUpKCi+//DIAoaGhNG2afj6aqlWrUq1aNT799FPuvffSgutz5851uztcdO7cmdWrV1OvXj0iIiIy1KF169bMmjWLkSNHek135swZAEJCQtyyixcvZhg9MmjQIFq0aMH9999P6dKlufPOOzO5At4RgTJl4IEHwKme3bvNPljjbPHNlZEItFPlJ2AGcCTXtbLkOhs3biQhIQFV5eDBg0ydOpXExESGDBkCQM+ePXn22Wfp06cPjz76KAkJCUyYMMFtpH2lZ8+eBAUF0bt3b1JSUnj11VczTBsUFMSoUaO4//77GTBgAHfeeSe///47EyZMcIfzuRgzZgzNmjXj+uuvZ/DgwcTGxnLs2DF++eUXdu7cyfvvvw/Aiy++SFxcHC1atOCxxx6jatWq7Ny5k40bN/Laa69x9dVXExMTw9NPP01wcDAhISFMmTIlQx2bN29O48aNWbZsGUOGDMnUd50ZTz99ySi7OHPGyK1htvgSiXEetIVmEZVRkDYbleEZkREVFaU33HCDLlq0yCPtvHnztF69ehoeHq4NGjTQxYsX+xWVkbas0NBQHTRokKakpGSq48svv6zVq1fXsLAwbdKkiS5fvlxjYmI8ojJUVffu3av33XefRkdHa6scPigAAB82SURBVEhIiFaqVEnbt2+vH3zwgUe6DRs2aNeuXbVMmTIaHh6utWvX1okTJ7qP//TTT9qqVSuNiIjQKlWq6LPPPqvvvPOOArpr1650+j3//PMK6C+//JLpeWSGiKqZJNRzE7nsIgs1FLGojCznYxbhN2AFMBP4HvgHkGHXvSrLsv+6yF3sfMyW7NCqVSuCgoIyHPjiC7Gxxn2RlpgYiI+/7GILLXY+5vRMBN4C+mFaWG9kkE6c48E5o5rFkn84f/48GzZs4Ntvv2XVqlV88cUX2Spv/HhPH7OLBx/MVrGWQoIvnX/vi/Af4C/AEkzkRc4Eu1osBYSDBw/SsmVLypYty4gRI9wjCy8Xlx/56adNVEZ0NERGwh135ICylgKPv0tLTQPGqLIr91TKfawrw5KfcXmcg+xMNm6KmivDr3+9KgNcRlmEkiJUE8EunGOx5BAXLsBtt5llqSxFF7/fySJ0EmE9cByIB06IsFaEDn6WU02Ez0Q4IcJJET4Xofpl6POUCCrCCn/zWiz5jZAQKFsWxoyBL78MtDaWQOGXYRahE/AVUBIYCwwCxgGlgK99Nc4iFMdEeNTBdCreDVwFLPGnBS5CTeBp4LAfp2Gx5FtE4I03oEkTM5/GZSwqYykE+OtjXg0cA7qqkpJKHgQsBMqqkuWwMBEeASYDtVX53ZHVALYDT6gyObP8qcpZjGm11waKqeLTekbWx2zJ7+zZY4xzVBT8739QqlSgNQos1secOdcAr6c2ygDO/htAQx/L6QascRllp4xdwEqguy8FiHAX0Bh4ysc6LZYCQ/XqMHs2HDsGO3YEWhtLXuOvYT4PlM7gWCl8n/azHvCLF/lmoG5WmUUoB0zBtK4TfazTYilQ3Hgj7NwJDX1t7lgKDf4a5qXAWMft4MbptBuNiXP2hfIYl0haEjHzOmfFJOA3YLqP9SHCAyKsF2H9ETvbh6WAEBFh5m1+7jn45ptAa2PJK/w1zE8CZYBtIiwTYbYIP2B8w2Wd477izbmd2UT8JoHQBrgH+Ieq1zK8V6a8rUpTVZpGRfmhpcUSYM6dg88+g969YVeBHkFg8RV/45h/AxoArwJhGB9vOPAK0FCV7T4WdQzTak5LOby3pFPzFvAesE+EsiKUxYxgDHb2w3zUwWIpEBQvDvPmmZbzrbemH8ZtKXz4tRgrgCoHgcezWe9mjJ85LXUxE+5nxtXO5m1WgWPAMODlbGlnseQzatWCDz+Erl3NfBozZpjQOkvhxN845iART2PuDDh5TATf19eBL4HmThyyq5xYoJVzLDNu8LJtwnQm3gB85oceFkuB4eabja/544/hF29d55ZCg79xzLOB86rc4+w/yKXZ5i4CXVT51odySmCM6VnMslX6/+3deXxU1dnA8d+DhLAqMaAlIktAxWBfKFKI+LLUoqaoiFLRlxAloqy+om2tKL4YF1yqCG2tZdMQAUVfhMIrlkVFFA0CWimgKEgiLhQQqSyR/Xn/OHfizJBlEia5Seb5fj7zCffMOec+cyc8uXPm3HNxF6w0Av5Dlf1evZbA57j1OR4sob+3sHnMJgYcPw4ffwwXXOB3JJXL5jGXLBV4LWj7LmA67gvBebir8EqlygHcDV4/A2YCs4E84JJAUvYIbhlRW87FGNzCRoGkvGABlHA7Q1ONlXWM+QzgawAR2gKtgadV2eetPPdCpB2psg3oX0qdfCKYqaFKr0j3a0xN8O237pLtlBRYsQLi7SvvGqWsZ6J7gcAtknsB36ryT2/7GG6GhjGmgjVpAtnZ7nLt2+3e9DVOWRPze8AYEa4E7iB0WKMt8FW0AjPGlKx/fxgzBqZOhenT/Y7GRFNZE/PvcfOPF+LOjrOCnrseyI1OWMaYSDz8MFx6KYwaZRef1CRlGmP2LiA5V4REVXaHPT0a+FfUIjPGlOqUU9z0ub//HVq3Lr2+qR7KNduhiKSMKutVsVUojKlkiYkwaJD796efwpEj/sZjTp5NQzOmhti2DTp1gt//3u9IzMmyxGxMDdGiBdxyC0yaBC9EPHHVVEWWmI2pQZ58Enr0cAn6o4/8jsaUlyVmY2qQuDh4+WVISHAr0X1nt5GoliwxG1PDnHkmvPIKXH213Suwuirzsp/GmKovNdU9wC20X9euya1W7IzZmBrs88/h/PPdQvum+rDEbEwN1rw5nHEG3HgjfPKJ39GYSFliNqYGi493483168M118DevX5HZCJhidmYGq55czdTY8sWuOkmt9i+qdosMRsTA3r2dHOc9+6FAwf8jsaUxhKzMTFi9GhYutSm0FUHlpiNiREibjW6HTvgwgvhrLPcrapatXJ34DZVh81jNibGvPACfPjhj9tffAFDh7p/p6f7E5MJZWfMxsSYP/7xxLKCAhgb0a2UTWWwxGxMjNm2rWzlpvJZYjYmxrRoUbZyU/ksMRsTY8aPdxecBKtf35WbqsESszExJj3d3Vm7ZUs3U6NlS7dtX/xVHZaYjYlB6emQn++uAnz8cVi1yu+ITDBLzMbEuM2b4emn3U9TNVhiNibGDRkCtWvDlCl+R2ICLDEbE+OaNYN+/SA72y2qb/xnidkYw/Dh7v6Ac+f6HYkBS8zGGOAXv4Drr4cmTfyOxICtlWGMwS1mNGeO31GYADtjNsYU2r0bXn/d7yiMJWZjTKG77nK3oNq3z+9IYpslZmNMoaFDYf9+tzSo8Y8lZmNMoa5doUMH+OtfQdXvaGKXJWZjTCERGDEC1q2D99/3O5rYZYnZGBNi4EB3X8AVK/yOJHbZdDljTIhGjSAvDxIT/Y4kdtkZszHmBIGkfPiwv3HEKt8SswhnizBXhO9F2CvCPBFKvYeCCJ1FmCrCJhEKRNgmwmwRWldG3MbEinHj4Gc/sy8B/eBLYhahPvAm0A64CcgAzgGWi9CglOY3AO2BPwG/AsYAnYC1IpxdYUEbE2PatoWPP4bly/2OJPb4dcZ8K5AM9FPlb6osAPoCLYFhpbR9XJWLVXlGlRWqvACkAQlev8aYKBgwAE4/3U2dM5XLr8TcF1ilypZAgSp5wLvA1SU1VGVXEWVfALuAs6IcpzExq25dyMyEv/0Ntm/3O5rY4ldibg9sKKJ8I5BS1s5EOB84A/jkJOMyxgQZNgyOHoVnn/U7ktji13S504E9RZR/hxuSiJgItYHJuDPmYn99RBgKDAW7TbsxkTrnHLeAfu/efkcSW/ycx1zUd71Sjn6eBroBV6gWmezdzpSpwFSAzp2L3LcxpgiDB/sdQezxayhjD+6sOVwCRZ9JF0mER3FnwTersjRKsRljwixZAvff73cUscOvxLwRN84cLgX4OJIORBiLmyo3WpWZUYzNGBPm3XfhoYfcFYGm4vmVmBcCqSIkBwpEaAVc7D1XIhFuBx4Gxqry54oK0hjj3HqrW+Bo2jS/I4kNfiXmaUA+sECEq0XoCywAvgQKb6IuQksRjoowLqjsBmASsBh4U4TUoEeZZ3QYY0p39tlw5ZVudoZdpl3xfEnMqhwALgE+A2YCs4E84BJV9gdVFeAUQuNM88rTgNywxzMVHrwxMWr4cNi5E+bP9zuSms+3WRmqbAP6l1Inn7CZGqoMBgZXVFzGmKJdfrmbNiflmTtlysSW/TTGRKRWLVi2zO8oYoMt+2mMKZODB2HtWr+jqNksMRtjymTUKLj0Uigo8DuSmssSszGmTG68Ef79b3jpJb8jqbksMRtjyqRHD0hJseVAK5IlZmNMmYi4qXNr1sAHH/gdTc1kidkYU2YZGVC/PixY4HckNZNNlzPGlFnjxrB+PbS2O21WCDtjNsaUS3KyG9awm7VGnyVmY0y5TZgA3bpZco42S8zGmHJr3BhWrYKVK/2OpGaxxGyMKbcbboDTToPJk/2OpGaxxGyMKbcGDdwFJ3Pnwq4T7l9vyssSszHmpAwf7tZozs72O5Kaw6bLGWNOSkoKPPkkpKX5HUnNYYnZGHPSfvtbvyOoWWwowxgTFatXw6RJfkdRM1hiNsZExbx57sz5q6/8jqT6s8RsjImKoUPdhSbTp/sdSfVnidkYExXJye6+gNOmwZEjfkdTvVliNsZEzYgR8M038OqrfkdSvVliNsZETZ8+0LEjfPed35FUbzZdzhgTNbVrw4cfulXnTPnZGbMxJqpE4Phx2LLF70iqL0vMxpiou+02SE2Fgwf9jqR6ssRsjIm6a6+F3bvhlVf8jqR6ssRsjIm6Sy6Btm3tTtrlZYnZGBN1tWq5VefefdfdG9CUjSVmY0yFGDwY4uNh1iy/I6l+bLqcMaZCJCa6M+YOHfyOpPqxxGyMqTAXXuh3BNWTDWUYYyrUtGlw5ZV2J+2ysMRsjKlQR4/CokVuvWYTGUvMpkqbMWMGIsKWIi4jO3r0KCJCVlZW5QcWJVlZWbz55pvlbt+rVy969epVuP3WW28hIrz11lsnHxyQn5+PiDBjxoxy9zFoEDRsaHfSLgtLzMb46IEHHjipxPzMM8/wzDPPRDGi6GvUCNLTYc4c2LPH72iqB0vMxlRjKSkppKSk+B1GqUaMcJdn5+T4HUn1YInZ1Ch5eXmkp6fTtGlT4uPj6dixI/Pnzw+ps2XLFjIyMmjdujX16tUjOTmZESNGsCfodO4Pf/gDderUYffu3SfsIyUlhX79+nHo0CGaNm3KnXfeeUKdwBDMpk2bio1VvCXYxo8fj4iEDMusWbOGX//61zRv3px69epx3nnnce+99/LDDz+E9BE+lFGcefPmkZqaSv369WncuDHXXXcd27ZtC6lTUFDAyJEjSUxMpGHDhvTt25evonSfqA4dYMwY6NIlKt3VeJaYTbVw7Ngxjh49GvI4duxYSJ0vv/ySrl27sm7dOiZOnMjChQvp1KkT/fv3Z+HChYX1vvnmG5o3b86kSZNYsmQJ48aN44033qBPnz6FdQYNGsSxY8d46aWXQvbxwQcf8Mknn5CRkUF8fDyZmZnk5ORwMGy1nilTptCzZ0/atWtX7GvKzc0FYPDgweTm5pKbm8stt9wCwLZt2+jYsSOTJ09m8eLFjB49mueee47MzMwyH7vJkyfTv39/UlJSmDt3LlOmTGHDhg307NmTffv2FdYbNmwY06dP5ze/+Q3z5s3jvPPOY+DAgWXeX3EefRS6dYtadzWbqsbc48ILL1RTPWRnZytQ4uP+++9XVdWbb75ZmzRpot9++21IH71799YOHToUu48jR47oO++8o4B++OGHIe1SU1ND6o4ePVoTEhL04MGDqqq6detWrVWrlj7//POFddatW6eAvvjii6W+PkDHjh1bYp3jx4/rkSNHdObMmSoiIa+vZ8+e2rNnz8Lt5cuXK6DLly9XVdV9+/bpqaeeqpmZmSF95uXlaVxcnE6cOFFVVTdt2qS1atXSRx99NKTe8OHDFdDs7OxSX0skPvtMNSen7O2AtVoFckdlPXw7YxbhbBHmivC9CHtFmCdCiwjb1hXhCRG2i/CDCLki9KjomI1/5s+fz5o1a0Ieq1atCqmzePFi+vTpw2mnnRZyZn355Zezbt069u7dC8Dhw4d55JFHaNeuHfXq1SMuLo7u3bsD8Omnnxb2l5GRwapVq9i8eTPgZoHMmTOHAQMGEB8fD0Dr1q25/PLLmTJlSmG7KVOm0LRpU6699lrAnfyUdKZflL1793L33XfTpk0b4uPjiYuLIyMjA1UtjCcSubm57N27l/T09JAYmjdvTrt27Xj77bcBeP/99zl+/DgDBgwIaX/DDTdEvK9ITJ4MQ4bAv/4V1W5rHF8Sswj1gTeBdsBNQAZwDrBchAYRdPEscCswDrgS2A4sEaFjxURs/HbBBRfQuXPnkMeFYZeV7dy5k+eff564uLiQx1133QVQOF58zz33kJWVxaBBg1i0aBGrV69m3rx5ACFDEv3796dBgwbM8hZ7WLp0KTt27CAjIyNkvyNHjuTdd99lw4YNHDhwgFmzZpGZmUmdOnUAyMnJCYmnTZs2pb7ezMxMJk+ezO23386yZctYs2YNf/nLX06IsTQ7d+4EoHfv3iccl/Xr1xcek+3btwNw5plnhrQP3z5Zw4a5ec3PPRfVbmscvy7JvhVIBs5TZQuACP8ENgPDgKeKayhCB2AgcLMq2V7ZCmAj8CDQt2JDN1VVYmIi3bt35+677y7y+aSkJADmzJnDjTfeyH333Vf43P79+0+o36BBA6655hpmz57NAw88wKxZs0hOTubiiy8OqdenTx9atWrFlClT6NChA/v27WPo0KGFz1911VWsWbOmcDtwtl2cgwcPsmDBArKyshg9enRh+fpyLNOWmJgIuC8j27dvf8LzjRo1AqBZs2YA7Nixg+Tk5MLnd+zYUeZ9luTccyElBcaNg/vugxYtYPx4N53O/MivxNwXWBVIygCq5InwLnA1JSRmr+0RoPBbGVWOijAHGCNCvCqHKihuU4WlpaWRm5tL+/btqVevXrH1CgoKiIuLCynLzs4usm5GRgazZs1iyZIlLFiwoPDsO1itWrUYNmwYjz32GO+88w69e/cOOStOTEwsTJDh6tSpc8JMi0OHDnHs2LETYizPRR7dunWjUaNGbNmyhZtuuqnYel27dqVWrVq8/PLLjBkzprB8zpw5Zd5nSWbPdrecCozmfPEFBP6GWXL+kV+JuT2woIjyjcB1EbTNU6WgiLZ1gLbev02MefDBB+nSpQs9evTgtttuo1WrVuzZs4cNGzawdetWnvM+P6elpZGTk8NPf/pT2rZty7x583jvvfeK7LN3794kJSUxZMgQCgoKGDRoUJH1hgwZQlZWFuvWreOVMty2IyUlhUWLFpGWlkZCQgJJSUkkJSWRmprKhAkTaNasGU2aNOG5557j66+/LvMxOfXUU3niiScYNWoUu3bt4le/+hWnnXYaX3/9NStWrKBXr14MHDiwcAbGuHHjOH78OD//+c9ZtmwZr732Wpn3WZKxY+Hw4dCyggJXbok5iB/fOIIeBn2siPKHQY+W0nYp6Koiynu7ZVK0ezHthoKuBV3booXNyqguArMyNm/efMJzR44cCZmVoar65Zdf6pAhQzQpKUnj4uL0Jz/5ifbu3VtnzpxZWGfXrl16/fXXa+PGjbVx48Y6cOBAXb16dbGzD373u98poBdddFGJsV522WXarFkzPXLkSMSvb+XKldqpUyeNj48PeS15eXmalpamDRs21KZNm+qoUaP01VdfDZlxoVr6rIyARYsWaa9evbRRo0Zat25dbdOmjWZmZurGjRsL6xw4cECHDx+uCQkJ2qBBA73qqqt05cqVUZ2VIaLq/T8NeYiU3I4Ym5Uh7jVXLhEOAxNUuSesfDxwt2rxZ/IiLAMaqnJRWPmlwFKghyrvlLT/zp0769q1a8sdvzHh9uzZQ4sWLbjjjjt46KGH/A6nymrVyg1fhGvZEvLzi28nIh+oaueKiquq8Wu63B7g9CLKE7znSvJdCW0DzxtTKXbt2sXKlSsZOnQox48fZ+TIkX6HVKWNHw/164eW1a/vys2P/ErMG3FjxeFSgI8jaNvam3IX3vYwcOIyZMZUkEWLFtG9e3dWr15NTk5O4ewGU7T0dJg61Z0hi7ifU6fa+HI4v4Yy7gCeBM5VZatX1go3XW6MKhNKaNsR+AcwWJUcr6w2sB7YospVpe3fhjKMqV5sKKNyTAPygQUiXC1CX9wsjS+BwkuoRGgpwlERxgXKVPkIN1Vukgi3iPBLYA7QGri/El+DMcZUCF8SsyoHgEuAz4CZwGwgD7hEleCZ/gKcwolxZgLZwMPAIuBsIE2VDys4dGOMqXC+3YxVlW1A/1Lq5OOSc3j5D8BvvIcxxtQotuynMcZUMZaYjTGmirHEbIwxVYwlZmOMqWIsMRtjTBXjywUmfhORXUARV+wbY6qolqra1O8gKktMJmZjjKnKbCjDGGOqGEvMxhhTxVhiNsaYKsYScyUSkX4iUiGXkYvIDBHJL2fbfBGZEd2IItrvHSJybRHlWSJSpb78EJHfisg/ReSEJQKqmsDxE5GTWnJBROqJyHYRKe12bybKLDFXrn5U3PoeDwHXlLPtNV77ynYHcEJiBqZD6B1q/CQijYF7gQc1hr4tV9UfgD8Aj4pIXGn1TfRYYq6iRKTke9yHUdXPVfUf5dmXqv5DVT8vT9uKoKpfqeoqv+MIMgR3Z/b5fgfigxm41RvL+0fflIMl5kriDRXcBJzlfczUwNCDiPTytq8VkWnePOsd3nNtRWSmiOSJyA8islVE/ioiCeH9Bw9liEgrr89hIvKg95H03yLyfyLSPKxtyFCGiAz22qaKyGwR2Ssi34jIn0SkbljbZBF5TUQKRGSniEwQkaFe+1YlHI98oCWQHnQ8ZnjPnTCU4T3/sDek8IWIHBCRRSJyhvd4WUS+F5EvReTuIvbX2nstu0TkkIh8JCKRJptbgJdU9VhYn/VF5HHvvTns/RwrIrWC6gTe2/7ee7THO56zRSQxrL9TReRp71gfEpFPReTO8OETEWkqIs94r/WQ93NmEX/MW3vHaL93zMaFxdZQRP4sItu8fnaIyOsi0i5QR1X3AEu8Y2AqiW/Lfsagh4CmwM+Bvl7ZobA6fwb+DmQAgQSYBHyF+9i/B0jGfax+jcg+7t8DvAfcDJwBTMCtf90zgrYzgRdxww0XAVleDPcDiEgdYJkX60hgJ+4/8K8j6Psa7zWs8/oF2FVKmwxgg7evM4FJwPNAI9xxmwpcBzwmIutV9TUvzrOB97347vT2cz3wioj0U9WFxe1QRFoA7YD/CSuvjUtYKbj3dj2Q6tU7HfhtWFeTgNeB/wLOAR7Bvbe/8PqrhVtbvBMwzuvvCuAp3O/NvV69BNz7eTpuPfJ/4t7Xq4E6hP5OzcetWz4RuAp4AHczimzv+Ym438V7cXcPSgQuBhqHxf42MF5E6qrqweKOlYkiv2/THUsP3MfCr4oo7wUoMD+CPmoD/+nV/1lY3/lB2628OivC2v/OK08KKssHZgRtD/bqPBDW9lXgs6DtoV69LkFlgku2CrQq5bXkA7OKKM9yv5ohZYq7sULtoLKnvPL7wo7PTiA7qOxZXDJODOtzGfBRKTFe7+3jnLDyDK+8R1j5WNy9J88Ie28Xh9VL98p/6W1f6W0PDqs3HZdsm3jbDwLHgt/74o4fkBlWvh5YGrS9AXgqgt+5X3r9dfP7/1CsPGwoo2o5YQxTROqIyL0isklEfsCNdb7jPX1eBH0uCtte7/1sUc62we1SgW2qujpQoO5/8isR9F0ey1T1aND2Ju/nkqD9H8XdkPfsoHppuLPz70WkduDhtesgIqeWsM8k72f42Xwa7rL+98L6XArE4Y5NsJfDtv8XOM6Pn3p6eNsvhtWbhTsTDtS7DFijkX2fEP7+bSD0/VsDDPZ+vzqLyCnF9BN47UnFPG+izBJz1bK9iLJHcWdAs3Afbbvw40yGukXUD/dd2Hbgo2552waPYzbDnZ2G2xFB3+WxJ2z7cAnlwa/vDOBG3B+14McT3vMhY71hAv2EDzudgRsjD+8z8EcqvM+QY6Kqh724z/KKTge+U9Xw/fwr6PlAv1+VEG+wot6/4OPy37h7bN6MS9I7RWSiiITfgf4H72e9CPdrTpKNMVctRU3FugF4XlUfDhSISMPKC6lE23FjrOHOrOxASrEb9ynj8WKe/6aUtgAJ/JigAuV5wIBi2uWHbYccE298PgH42iv6DjhdROp4STvgJ2FxfMuPyfykqOp+3HcQ94hIS9x3A4/h/rAFf4Ea+KPwbTT2a0pnZ8yV6xBlP+uojzsTC5YZnXBO2iqghYh0CRR4MwhKvJdjkPIcj/JYDPwHsFFV1xbxCD9LDRYYLkkuos+zgf3F9BmexMIT+HW4/3+53vYKbzv8Yo50XKIMTB9cCnQRkQ4lxFxmqvqFqk7ADVddEPZ0a+/np9HcpymenTFXro9xZ0UjgLXAQVVdX0qbxcBNIrIeN3Z6LdCtYsOM2AzcmdU8ERmLG4u8BXcmCG7MtCQfA91F5ErcR/ZvVTW/AuIchxtieFtEnsadzSbgElCyqt5cQtvVuD8gXYCVQeWzcX8g3xCRCbgvPOsAbXAzHfqpakFQ/fYikg3MAc4FxuO+mH3De/7vXv+TRaQpsBHogzuejwYl+onAQOB1EXkYl0ib4GZlDFfVfZEeFBHJBRZ6fezHzdTpAOSEVe0KfK2qWyPt25wcS8yVazruS6FHcFOSvsDNnijJf+NmOoz3tl/DTblaXWyLSqKqh0XkMtw0v8m4/9wv4KamPQZ8X0oX9wDTcF+M1cMlhMEVEOc2EemMG6t/BDf9bDfuy7DwJBTe9qCILMBNN3sqqPyIiFwOjMHNTmkNHAA+x33pdjisq9G4hP0ScArwf8DtQf0dF5ErvPjuxo0l5+OuFJ0UVO/fInIxbqrcGK/eDuDNIvZZmrdxZ/JjcLlgK3Cnqv4prN4VuD8oppLYeswm6kTkVeB8VW3jdyzRICK9cImvlapuK0fb5cClqvp69KOrWCLSFTdv+nxV/czveGKFnTGbkyJuUab9uAsUGuHGSK8ARvgZVzSp6lsi8jrwe+A2v+OpZGOAHEvKlcsSszlZh3BX07XAfUT/FLhFVZ/1Naroux3oJyKiMfIxU9zl9//ADTeZSmRDGcYYU8XYdDljjKliLDEbY0wVY4nZGGOqGEvMxhhTxVhiNsaYKub/ASLT8zcE/3K6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "x = batch_sizes[0:8]\n",
    "ax1.plot(x, soft_ranks[0:8], linestyle='--', marker='o', color='b')\n",
    "ax1.set_xscale('log')\n",
    "ax1.invert_xaxis()\n",
    "ax1.set_xlabel('training time (epochs)')\n",
    "# Make the y-axis label, ticks and tick labels match the line color.\n",
    "ax1.set_ylabel('soft rank', color='b')\n",
    "ax1.tick_params('y', colors='b')\n",
    "plt.tick_params(\n",
    "    axis='x',          # changes apply to the x-axis\n",
    "    which='both',      # both major and minor ticks are affected\n",
    "    bottom=False,      # ticks along the bottom edge are off\n",
    "    top=False,         # ticks along the top edge are off\n",
    "    labelbottom=False) # labels along the bottom edge are off\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.title(\"5 Phases of Training: MP Soft Ranks\")\n",
    "\n",
    "plt.text(200, soft_ranks[8],\"Random-like\",fontsize=16)\n",
    "plt.text(80, soft_ranks[6]-0.01,\"Bleeding-out\",fontsize=16)\n",
    "plt.text(25, soft_ranks[4],\"Bulk+spikes\",fontsize=16)\n",
    "\n",
    "plt.text(80, soft_ranks[2],\"Bulk-decay\",fontsize=16)\n",
    "plt.text(30, soft_ranks[0],\"Heavy-tailed\",fontsize=16)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig(SOFTRANK_SEC3_FILENAME)\n",
    "print(\"saved file {}\".format(SOFTRANK_SEC3_FILENAME))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:49.027560Z",
     "start_time": "2018-09-05T19:49:38.677330Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b3702646fc6d4504af7371ab2c987de1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 2\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:49.565368Z",
     "start_time": "2018-09-05T19:49:49.029877Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs2.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "RMT_Util.plot_ESD_and_fit(eigenvalues, Q=Q7, num_spikes=0, alpha=ALPHA, skip=True)\n",
    "\n",
    "\n",
    "plt.title(TITLE_FC1.format(batch_size))\n",
    "plt.xlabel(XLABEL_FC1)\n",
    "plt.ylabel(YLABEL)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "filename=FC1_FILENAME.format(batch_size)\n",
    "plt.savefig(filename)\n",
    "print(\"saved figure {}\".format(filename))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:50.071612Z",
     "start_time": "2018-09-05T19:49:49.568108Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/phase5-heavy-tailed.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.hist(eigenvalues,bins=100,density=True, color='blue', alpha=ALPHA);\n",
    "RMT_Util.plot_ESD_and_fit(eigenvalues, Q=Q7, num_spikes=0, alpha=ALPHA, skip=True)\n",
    "\n",
    "plt.title(PHASE_5_TITLE)\n",
    "plt.xlabel(XLABEL)\n",
    "plt.ylabel(YLABEL)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig(PHASE_5_FILENAME)\n",
    "print(\"saved figure {}\".format(PHASE_5_FILENAME))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stable Rank"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:49:50.078787Z",
     "start_time": "2018-09-05T19:49:50.073972Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Stable Rank for batch size 2 483.9428405761719'"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stable_rank = RMT_Util.stable_rank(eigenvalues)\n",
    "\"Stable Rank for batch size 2 {}\".format(stable_rank)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Batchsize 4 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:00.289752Z",
     "start_time": "2018-09-05T19:49:50.080663Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2320ada9cfc744278103236fa2498956",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 4\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:00.298257Z",
     "start_time": "2018-09-05T19:50:00.292426Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{2: 0,\n",
       " 4: 520,\n",
       " 8: 325,\n",
       " 16: 175,\n",
       " 32: 90,\n",
       " 50: 90,\n",
       " 100: 75,\n",
       " 150: 50,\n",
       " 250: 0,\n",
       " 500: 0,\n",
       " 1000: 0}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_spikes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:00.915012Z",
     "start_time": "2018-09-05T19:50:00.300564Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 13.27\n",
      "% sigma 1.3869\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs4.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, 450, eigenvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-23T01:39:13.600926Z",
     "start_time": "2018-05-23T01:39:13.598407Z"
    }
   },
   "source": [
    "### Batch Size 8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:08.965571Z",
     "start_time": "2018-09-05T19:50:00.917466Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "af14a3369a1744419ed4d6d034594041",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 8\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:09.431848Z",
     "start_time": "2018-09-05T19:50:08.968184Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 9.25\n",
      "% sigma 1.2428\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs8.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:09.919582Z",
     "start_time": "2018-09-05T19:50:09.434204Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 9.25\n",
      "% sigma 1.2428\n",
      "saved figure img/mini-alexnet-fc1-bs8.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:10.360463Z",
     "start_time": "2018-09-05T19:50:09.922126Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 9.25\n",
      "% sigma 1.2428\n",
      "saved file img/phase4-bulk-collapse.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ns = num_spikes[batch_size]\n",
    "RMT_Util.plot_ESD_and_fit(eigenvalues, Q=Q7, num_spikes=ns, alpha=ALPHA)\n",
    "\n",
    "plt.title(PHASE_4_TITLE)\n",
    "plt.xlabel(XLABEL)\n",
    "plt.ylabel(YLABEL)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig(PHASE_4_FILENAME)\n",
    "print(\"saved file {}\".format(PHASE_4_FILENAME))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-16T19:56:30.268379Z",
     "start_time": "2018-04-16T19:56:30.265893Z"
    }
   },
   "source": [
    "### Batch Size 16"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:18.462343Z",
     "start_time": "2018-09-05T19:50:10.362574Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f208ccfd82d1454280f54b3373524953",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 16\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:18.888111Z",
     "start_time": "2018-09-05T19:50:18.464148Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 4.77\n",
      "% sigma 1.2059\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs16.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, 175, eigenvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Batch Size 32"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:27.906177Z",
     "start_time": "2018-09-05T19:50:18.889855Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c68902fa3d854c10a07528d57130ecfe",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 32\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:28.435430Z",
     "start_time": "2018-09-05T19:50:27.908446Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 2.40\n",
      "% sigma 1.2054\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs32.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-16T19:56:30.268379Z",
     "start_time": "2018-04-16T19:56:30.265893Z"
    }
   },
   "source": [
    "### Batch Size 50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:37.675254Z",
     "start_time": "2018-09-05T19:50:28.438345Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "28178a3c37f14def98318d470a8cb284",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 50\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:38.190200Z",
     "start_time": "2018-09-05T19:50:37.678925Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 2.40\n",
      "% sigma 1.1996\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs50.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:38.632306Z",
     "start_time": "2018-09-05T19:50:38.192951Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 2.40\n",
      "% sigma 1.1996\n",
      "saved file img/phase2-bleeding-out.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RMT_Util.plot_ESD_and_fit(eigenvalues, Q=Q7, num_spikes=num_spikes[batch_size], alpha=ALPHA)\n",
    "plt.title(PHASE_3_TITLE)\n",
    "plt.xlabel(XLABEL)\n",
    "plt.ylabel(YLABEL)\n",
    "plt.title(PHASE_3_TITLE)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "print(\"saved file {}\".format(PHASE_2_FILENAME))\n",
    "plt.savefig(PHASE_2_FILENAME)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Batch Size 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:47.476407Z",
     "start_time": "2018-09-05T19:50:38.634638Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6a6dea39fff444eb8510942e13ac9e1c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 100\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:47.939949Z",
     "start_time": "2018-09-05T19:50:47.479114Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 1.99\n",
      "% sigma 1.2013\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs100.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:48.422485Z",
     "start_time": "2018-09-05T19:50:47.941580Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 1.99\n",
      "% sigma 1.2013\n",
      "saved file img/phase2-bleeding-out.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RMT_Util.plot_ESD_and_fit(eigenvalues, Q=Q7, num_spikes=num_spikes[batch_size], alpha=ALPHA)\n",
    "plt.title(PHASE_2_TITLE)\n",
    "plt.xlabel(XLABEL)\n",
    "plt.ylabel(YLABEL)\n",
    "plt.title(PHASE_2_TITLE)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "print(\"saved file {}\".format(PHASE_2_FILENAME))\n",
    "plt.savefig(PHASE_2_FILENAME)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Batch Size 150"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:57.121277Z",
     "start_time": "2018-09-05T19:50:48.424520Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "33e9f5b5994d4e7bbfd64652d6d90b20",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 150\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:50:57.645156Z",
     "start_time": "2018-09-05T19:50:57.122990Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 1.32\n",
      "% sigma 1.2054\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs150.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Batch Size 250"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:06.888541Z",
     "start_time": "2018-09-05T19:50:57.646959Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2febe5333ed94233b78bdf7203acccda",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 250\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:07.329597Z",
     "start_time": "2018-09-05T19:51:06.890103Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 0.00\n",
      "% sigma 1.2239\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs250.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-23T01:13:08.663104Z",
     "start_time": "2018-05-23T01:13:08.461265Z"
    }
   },
   "source": [
    "### Batch Size 500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:15.513763Z",
     "start_time": "2018-09-05T19:51:07.331555Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1cbf9e16cd9842cd9ceb08afb9757ae8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 500\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:16.027270Z",
     "start_time": "2018-09-05T19:51:15.515890Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 0.00\n",
      "% sigma 1.2017\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs500.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Batch Size 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:24.214734Z",
     "start_time": "2018-09-05T19:51:16.028946Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "32f63d790de346248939c26f0b1e5434",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "batch_size = 1000\n",
    "eigenvalues = ensemble_evals(batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:24.713470Z",
     "start_time": "2018-09-05T19:51:24.216462Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 0.00\n",
      "% sigma 1.1929\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc1-bs1000.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmt_plot_fc1(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:25.289023Z",
     "start_time": "2018-09-05T19:51:24.715248Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "% spikes outside bulk 0.00\n",
      "% sigma 1.1929\n",
      "saved file img/phase1-random-like.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RMT_Util.plot_ESD_and_fit(eigenvalues, Q=Q7, num_spikes=0, alpha=ALPHA)\n",
    "plt.title(PHASE_1_TITLE)\n",
    "plt.xlabel(XLABEL)\n",
    "plt.ylabel(YLABEL)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig(PHASE_1_FILENAME)\n",
    "print(\"saved file {}\".format(PHASE_1_FILENAME))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### FC2 Layer"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-24T17:18:47.171752Z",
     "start_time": "2018-05-24T17:18:41.575702Z"
    }
   },
   "source": [
    "LAYER = 8\n",
    "for bs in batch_sizes:\n",
    "    evals = []\n",
    "    for idx in tqdm(range(1,NUM_ENSEBMBLE_RUNS+1)):\n",
    "        weightfie = BATCHSIZE_ensemble_weightfile.format(bs, idx)\n",
    "        evs = RMT_Util.get_eigenvalues(model,weightfie,layer=LAYER)\n",
    "        evals.extend(evs)\n",
    "\n",
    "    plt.hist(evals,bins=100);\n",
    "    plt.title(\"Batchsize {} ESD Layer {}, 10 runs\".format(bs, LAYER))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:25.295991Z",
     "start_time": "2018-09-05T19:51:25.292004Z"
    }
   },
   "outputs": [],
   "source": [
    "num_spikes = {2:165, 4:90, 8:90, 16:90, 32:90, 50:90, 100:75, 150:50, 250:0, 500:0, 1000:0} "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:26.083858Z",
     "start_time": "2018-09-05T19:51:25.298667Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e0aa9eca0ef74ac9a46269109fc56e9f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 0.00\n",
      "% sigma 1.0351\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs1000.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 1000\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:26.810509Z",
     "start_time": "2018-09-05T19:51:26.085625Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "522cad244fe04c4ca0a697d8c75c5f11",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 0.00\n",
      "% sigma 1.0327\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs500.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 500\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:27.614581Z",
     "start_time": "2018-09-05T19:51:26.812547Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3ec7fd00dc5446c495d386a1e44e555b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 0.00\n",
      "% sigma 1.0579\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs250.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 250\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:28.334063Z",
     "start_time": "2018-09-05T19:51:27.616610Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "614068352ee74fa1b1427436b946b904",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 0.00\n",
      "% sigma 1.0579\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs250.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 250\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:29.225998Z",
     "start_time": "2018-09-05T19:51:28.335835Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bfd674b78eef4f95a58d06f5279d73ed",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 4.07\n",
      "% sigma 0.9873\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs100.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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ej9d6jVf39BD36of4n0d8H3E/aoGlpLODyi/3xhkHlC/wPn2Ji9y0T1Hyhhgv8LkJZ+ZnefdDJdbb37v3WlDZG15ZxxD1K3qv66to5YzXZWZ+8qjlPYabPf4NRBvE9xZV/af4IhXiNlUNzCpR1Vm4L3GolLuFZl2q+newPKqaoy4tSGaUcuzExe8M7nsqLl10VxFpGlS+rEBbVHUzbvYViA1aJCLSCDgTN3N7MESfq0I0+wUXSjCYCd5jNGmKQ72Xf4WqWARP45aSRqjqa0HlV+FSwlyrqoFMAoH36R6cEvZt7kdBpM98oCz4Mx+2vroMFVuJ/jsSN8zMTx6BSL6xioG4VVUXxqivAOGynzYNer4I+B64VVx++HdxpvH36k0hYsDyMMprNi6I8MG4WKSISC2cqX8GztyvVqDN3vijE+5/9LEGJRUsggUh6kaTLXY6LobnWyLyGs68na0+1+GDEZFbccGaX9GgBHvignC3xb1ft0nhgNINvMdYZmjdPXwx65eKOKGmTJNHILNouF/WWoTOPhqOmGduVNVw2U/LBdXZKSLH4TbN+uCCAgOsFJF7VXV8iD6iJdxr+8N7rAW7cyTNwkVoz8bNCnNxmQM64BRsZZ9jBv4voYIZh6NE2WJVdZmIHIlb+zwHbwNSRObjlg8+9yOEiPTGBd7+EhdsOpi6OCXVjD0BmUNRnNTjRRF4f2qxJx0MQWXBdYL/LvQdEZfapSrRfUfiipn5yeMn77FFwRvi8tbvA0STXzzSr7cS4svszeJKjKquVdUrcLO+g3GpKQR4yvtil5QGYcr38h4DZuAZOKU5XlU7qepVqnqHqo4A5kY55nrvcZ8o25UIVf1OVc/EKb1uuJQdbYH3RCSi3zLszhX1Im6z7kxV3VagSuC9+kIjZ40tqIRjQdjPPG6TD/J/5iPV3x/3GYvmOxJXTJkmj0DO+R4h7p2A+998FqOx1hM6IdwhIcqKjarmqeoCVX2IPcnsos2RHopmEjrd81He43feY8AFaXqEusFEyjyajfsROl78Z0aNGaq6XVU/V9WbcB4RNcjvNlQIEdkb99oDm1iFUs+o6kbgB6BtsNtagoj0mQ+kRQn+zEdbP6mYMk0SqvoDbrf8eBHZ/WERkaq4zZZd7EkBXFKygf1E5OigcarjTMESISL7ifOZLUhg1hjskhM4vpkT5TAVKOD24/lDHgZ8HrSmGHg8KkTd00L0G/CPLPRD4ymiN4HWuDXYfHhuTDFFRDqLSEaIW4XeyxBtq+Lc0vYBLlDVbyMM9RjOdH5CRKqE6KuNiDT0L7lvXsfNjK8Rkd0zfnHpnC/B+f1+HFT/Y9yGZz8RaRtUPwOXrfZvr8+UwNZMY4iIXAoEFFYH7/Ea2XM+/xlVDU51Oxh3nHS6iLwCrMGZqgcCd2mYRHXF4FHcbPd9EZmMW8c7mdAbTNFyMPCmiMwDFuJew364nfAtOL/QAIEf751ExwLgRBH5AjcTaYZz1t4E/Duo3nScQr1ZRNrgZmBtgJNwijHfkoOqbvLWI48RkWdw6ZYVeNJbL74S5/o10luumIXb6W6D87+tH+XrKIp+wBUi8inOfN2Msx564BLMvROh7dW4TbPFQAdvMzAf3nIHwJPAkbgkh91F5BPgd9wyTXvcZ/cI3P8yIiIyGnciCfZsWj0hIgEvjhvUOdmjLtHhUOA54GsReRVnFZyHW/8c5O3SB+TdISKDgPeAL0Qk+DjpvsBFxfRyiA/J9s1Kpwu34aERroEh2rTG+TPm4mYeXwMXRjluDkX7HPbDKbt/cD6s9+B89cL6mYbpJ989XDbTB3CbHWuAbTgXoYlAqwJtT/fGuzeK16bemJne+7QOp2Q+BDqEqL8/TnGuBTbiPAt64jZzCv0PcArgA9xGRuD/lBl0vy5uh30Jzv/yL5xj/rVBdTIJ468a6V6IuofjHNAXevIEMpPeRxF+puzxaw57hflMfOq9p9txP0QfAFcA1aP47EUaNzNEm1Nxk4jNuNnlh8AREcY40qvzt9fmC+DURH+/i7osO6mRMETk/3A+js3Um60YRrpga6ZGIjkaeNoUqZGO2MzUMAwjBtjM1DAMIwaYMjUMw4gBZco1KiMjQzMzM5MthmEYpYjs7Ow/VTXcKbzdlCllmpmZSVZWVrLFMAyjFCEiy/3UMzPfMAwjBpgyNQzDiAGmTA3DMGKAKVPDMIwYYMrUMAwjBpgyNQzDiAFlyjXKMGLF9u3byc3NZePGjezatavoBkbKUalSJTIyMqhdOzY5+UyZGkaUbN++nRUrVlC3bl0yMzOpWLEiIRLTGSmMqrJ161ZWrVpF5cqVqVKlUIzsqDEzP1osMEyZJzc3l7p165KRkUGlSpVMkZZCRIRq1aqRkZHB2rWxyUVpyjQaRo2CihXh2WeTLYmRRDZu3EitWjHJRWgkmZo1a7JtW8Gcg8XDlKlf1q2DkSNhxgy46SbIyUm2REaS2LVrFxUrVky2GEYMqFChAjt3RptFJzSmTP3y0Udw5JHQvTsMHuwUq1FmMdM+PYjl/9GUqV8+/RROOMH9ffXV8NprsHFjcmUyDCNlMGXql++/h4MPdn83agTHHOMUqmEYBqZM/aEKCxdCmzZ7yi68ECZPTp5MhhFDJkyYgIggIixZsqTQ/ZkzZ+6+P2PGjN3lI0aM2F0uItSpU4fDDjuMyT6+G5s3b6Z///40bNgQEWHo0KG7x5k5c+buemPGjGHq1KkxeZ3xxJSpH/74A8qVgwZB8WF79oSsLPjTcsMZ6UPNmjWZNGlSofIXXniBmjVrhm03e/Zs5s6dy+TJk9l3333p168fzz33XMSxxo0bx8svv8zo0aOZO3cu1157LR07dmTu3Ll07Nhxdz1TpunEihXQrBkEL1ZXqwYnngjTpiVPLsOIMX369OHFF18kONHm1q1bmTJlCmeddVbYdocffjhdunShV69evP7667Ro0YIxY8ZEHGvx4sXss88+DBgwgC5dutCsWTNq1apFly5dSqXrmSlTP6xeDfvuW7i8Tx+YMiXx8hhGnOjfvz/Lly9n9uzZu8vefPNNdu3aFVGZBlOhQgUOOeQQli5dGraOiDBhwgRWrly5e4lg5syZhcz8zMxMli9fzksvvbS73sCBA0vyEuOGKVM//PpraGV6yinw2WeweXPiZTKMONCsWTO6deuWz9R/4YUX6N27NzVq1PDdz7Jly6hTp07Y+3PnzqVnz540atSIuXPnFjLtA7z55ps0atSInj177q53xx13RPeiEoSdzfdDOGVaqxZ07gyffAKnnZZ4uYzUIxX8T0t45HnAgAFcf/31jB07lnXr1jFjxgzef//9iG0CwV5yc3N58sknycrKYsiQIWHrd+nShYyMDCpXrkyXLl3C1jvkkEOoXLkyGRkZEeulAqZM/bB6NXTrBkDQJiPduwO9esF775kyNRxpELuhb9++/Pvf/2b69OksX76cRo0acfzxx/PZZ5+FbRMcKKRSpUoMHTqUkWXsYIspUz+sWQMNG4a+16sXnHyy+xKlwqzEMEpIzZo1OfPMM5k0aRI5OTn069ePcuUirwjOmzeP8uXLU7duXZo2bVomj9uaMvXDunVQr17oe61aOSW6eDG0bp1YuQwjTgwYMIBTTjmFvLw8Xn755SLrH3rooVSoULbVSdl+9X5Ztw7q1g19T2SPqW/K1EgTevTowdlnn02dOnVoE3xYJQlUrlyZrVu3JlUGP5gy9UMkZQpOmT78MNxwQ+JkMow4Ur58eV8z0kTQunVrPv/8c9555x0aNWpERkYGmZmZyRarEOYaVRSqkJsbWZkee6w7DfX334mTyzDKCCNHjqRly5acffbZdO7cmREjRiRbpJCIpsHuo186deqkWVlZ0TXatMltPm3ZAoTYzQ9w0kkwaJBz5DfSmsWLF9OqVatki2HEiKL+nyKSraqdiurHZqZFUZSJH6BXL3j/fWbOzK9wDcMoG5gyLYpIO/nBBDahytBM3zCMPZgyLYoNG8BPKtgWLaB6dar/vCD+MhmGkXKYMi2KTZugenV/dXv1ov6X78VXHsMwUhJTpkWxeTP4DfDQqxf1TJkaRpnElGlRbN7sf2barRs1fllAhY3r4iuTYRgphynToohGmVapwvr23ag7/8P4ymQYRsqR8BNQItIEeAToAQgwAxiqqit8tG0K3AMcC2QAq4DXgJGqGp+gohHWTEO5QO1zeGDd9Jy4iGMYRmqS0JmpiFQDPgEOAi4E+gMHAJ+KSMTpn3d/BtANuAM4BXgGuB6InGymJEQzMwVyDz+Zel+9D3l5cRPJMIzUI9Ez08uA5kBLVV0KICILgJ+Ay4GHI7Q9Cqd4e6pqwI7+VETqATeISDVV3RJziTdvhr328l19W6NMdtRuQKXsbBc42jCMMkGi10xPB+YFFCmAqi4DvgDOKKJtJe+x4AH49bjXEZ9golHOTAH+6uI58BuGUWZI9My0DfB2iPKFQN8i2s7AzWAfFJErgBXAYcAQ4D9xWzMthjLNPbwXTV+5Be68My4iGalLso8S54sXkQZcffXV5OTkMH369N1ly5Yto3nz5jRo0ICRI0dyySWXFGr3yCOP8Pzzz/Ptt98WGdg6ViR6ZloPCOU3lAtEPACvqtuAo3EyLwQ2Ah8D7wD/DtdORAaJSJaIZK1duzZ6iaNx2vfY0PYo+PFHF6HfMIxi8fPPP/PUU09xZ4FJSUZGBh999BF169Zl+PDhIdsOHjyYNWvWMHHixESICiTHNSrU4fUiTXQRqQK8CjTEbVwdA9yI2zYfF3Yw1fGq2klVOzVo0CB6aaNx2g+MWbESHH88fPBB9OMZhgHAmDFjOPjgg+nUKX/Appo1a3LCCSdwySWXsHr1ataEmLRUrVqVAQMGMHr06ESJm3Blug43Oy1IXULPWIO5BOgO9FLVF1X1M1UdjdvNHywiB8dU0gDFMPOBPYFPDKOUsXPnTkaPHk3z5s2pVKkSDRo0SHgM0e3bt/Piiy9y/vnnh63TsmVLAL777ruQ988991wWLVrEnDlz4iJjQRKtTBfi1k0L0hpYVETbdsA6Vf25QPlX3mN8Akxu3QpBmRd9c/LJbma6Y0fsZTKMOLFjxw5OO+00xowZwy233MK0adPo3r07d911F6+++mrC5Jg3bx7r16+na9euIe+rKg8/7Jx/FiwIHVyoQ4cO1KpVi//+979xkzOYRCvTaUAXEWkeKBCRTJzb07Qi2v4O1BWRFgXKD/cef42RjPnZvh0qV46+3T77wAEHwKxZsZfJMOLEQw89xJw5c5gzZw6DBg3ipJNOYvLkydSsWZO33w61dxwf5s2bh4jQvn37kPefeOIJ5s6dS/Xq1cPOTMuVK0f79u2ZN29ePEXdM15CRtnD00AO8LaInCEip+N291cCTwUqiUgzEdkpIsGryxNwm07viciFInKsiNwIjAayce5VsWf79uLNTAF694Y334ytPIYRJ/Ly8nj44Ye56qqraNq06e7yihUr0qxZMzZt2pQwWVavXk2tWrWoVKlSoXs5OTnccsstDBs2jMMPPzzszBSgQYMGrF69Op6i7iahytRzXzoOWAJMAl4ClgHHqWrwf0qA8sHyqWoO0AX4FrgXeA93CGA80ENV43PkqLgzU3DK9K237DSUUSr46quvWLt2Laecckq+clVl9erV7LfffgmTZdu2bVQO87277LLLaNGiBbfddhsdOnRg8eLF7AiznFa1atWEZTZN+Nl87wz+WUXUySHEDr+qLgLOjo9kYSiJMm3ZEmrVcsn2DjsstnIZRowJmMONGzfOVz5nzhxyc3M588wzAdi4cSO33norX3/9NevWreOYY47hiSeeoFy5cgwfPpwlS5awefNmFi5cSPv27RkxYgS33347ixYt4qijjmLSpEncddddzJ49m23btvHXX39Rv3593nzzTTIyMgCoX78+69YV3pMeP348s2bNYv78+VSsWJEOHTrwzz//8MMPP9CuXbtC9XNzc3f3GW8salRRlESZgpn6RqkhOzsbcP6dAfLy8rj11ltp3749xxxzDADnnXceJ598MnPmzGHRokUsX76c9zzPlezsbLZs2cJrr73GDz/8wJw5c3j00UeZMmUKixYtYvr06fz222+TwUMHAAAgAElEQVRkZWWxdetW3nnnHRYtWsRee+3F+PHjd4970EEHsWPHDlatWrW7bNWqVdx4443cfvvtHHywc97p0KEDEH4TatmyZbt3/eNNwmempQ5PmRb7ZEvv3tC/P4wcubuPdDulYqQH2dnZNG7cmCuvvJL77rsPEeGxxx7jm2++4csvv6RcuXLMmjWL2bNns2rVKoYNGwbA33//TSDLcXZ2NjNnzqRq1aqAc7O6++67qVy5Mrt27WLnzp3UqlWLrKwspk+fTm0vJVC7du34888/d8vSrVs3wC09BGbKgwYNYv/99+fWW2/dXa9Vq1ZUrlyZ7777jn79+uV7PevXr2fJkiXccMMNcXrH8mPKNBKqJZ+ZdurkfFUXLyZe3luGUVI2b97Mjz/+yLhx48jJyeHyyy9n69atHHPMMcydO5fWrVsDkJWVxcUXX7zbLSmYVatWkZeXx0EHHQS4WWGdOnVo0qQJ4FIqN23alHXr1pGbm0vHjh13t503bx79+/ff/TwzM5PDDjuM6dOn06dPHyZMmMCMGTN2m/cBKlSoQNu2bUPOTN99910qVapE7969Y/MmFYEp00js3AnlykH58sXvQwTOPNOZ+keaMk13SqvV8c0335CXl0fnzp0ZPHgwDzzwQMh6jRs3ZuLEiWzatIkaNWqwfft2fvrpJ9q2bUt2dna+00rz58/P9zxwf/78+fzzzz8sXbqUAw88kClTpvDrr7/St2/+8BxXXHEFQ4YMYdy4cQwcOJCBAweGlCkrKytk+Ysvvkjfvn2pX79+lO9G8fC1ZioiX4hIfxEpwRStFFLSWWmA3r1h6tSS92MYcSI7O5tKlSqF3MQJpm/fvnTv3p0OHTrQoUMHunbtytKlS3f3Eaw8s7KyQirTrKwsrrnmGq688kratWvHxIkT+e9//5tvxgnQv39/9t13X5544omoX8+3337Lp59+WuhcfzzxOzPdAUwExojIRGC8qv4QP7FShFgp027dYOVKqvz6M9v23b/k/RlGjMnOzqZt27Yh/TqDKVeuHGPHjmXs2LGF7t199935nv/f//1fvueBNieeeCI33HADjz76aMSxypcvz3PPPcfXX3/t5yXk4/fff+f555+nRYuCZ3zihy9lqqrdRaQlLoDzAGCIiHwOPAlMVdX0PDMZK2VaoQL07UvDT19lxQW3lbw/w4gxL7zwQsLG+vrrrwsFLwlHly5d6NKlS9RjnHTSSVG3KSm+XaNU9UdVvQ7YFxiIc6qfDKwSkQeCj4imDdu2xUaZApxzDg0/fSU2fRlGKebPP/+kXr1Q8Y5KN1H7marqdlWdhAvK/DnQALgJWCIir4tIoxjLmDxKcpS0IEcdRcW/c6m2bGFs+jMMI6WISpmKSFURuVhEvgLm4xTpEGAf4ArgSNwR0fQgVmY+QLlyrDn2HBp+mrjIO4ZhJA6/u/ntRORxYDXwH2A5cIKqtlHVx1T1d1V9GhiMiwCVHsRSmQJrjjvXmfoaKj62YRilGb+7+d/hFOkY3E7+b2HqLQXmxkKwlCDGynRjy05I3i745hsIclg2DKP049fM7ws0U9W7IihSVHWxqh4bG9FSgBgrU0RYc+y5MHly7Po0DCMl8KtMTwGahrrhxR59LnYipRCxVqbAHz0ugJdecqerjFKL2lJNWhDL/6NfZXohbrMpFBne/fQjDsp0S7NW0KwZfPhhTPs1EkelSpUSFiPTiC9bt24tdPKquPhVpkLorKIAjYD0/GTt2AFFnAjxw8yZBfKpDxwIEyaUuF8jOWRkZLBq1Spyc3PZsWOHzVJLIarKli1b+PXXX2nYsGFM+gy7ASUivYHgcCt3icifBapVBbri0oakHzt2uNNLseacc+DmmyE3F9LQeTndqV27NpUrV2bt2rX89ddf7LQlm1JJxYoV2WuvvahVq1ZM+oukKZriFCW4WWkHYHuBOtuBOcCtpCM7d0KMTIB81K3rspe+8gpceWXs+zfiTpUqVXaHljMMiGDmq+qjqrqfqu4HrABODjwPug5S1T6q+mPiRE4gO3fGZ2YKZuobRprha83UU5yh86mmM/Ey8wF69IBff4WFdrzUMNKBSGum3YCvVXWT93dEVPWzmEqWCsTLzAcXcHrgQHj6aRgzJj5jGIaRMCJNu2biUit/5f0dbssysNNfgnD0KUo8zXyAyy6DQw+F+++HatXiN45hGHEnkqY4FlgU9HfZI55mPkBmJnTpAq++ChddFL9xDMOIO2E1harOCvV3mSKeZn6AK66Ae+4xZWoYpRy/UaPKiUiFAmU9ReR6ETkkPqKlAPE288G5SP3+OxQjNYNhGKmD3xNQLwO7z9+LyGDgfWAUME9EToiDbMkn3mY+uI2oQYPgP/+J7ziGYcQVv8q0C/Be0PMbgWeA2sBUYFiM5UoNSmDmB46Q5jtGGo5LLoHXX4cNG4o1lmEYycevMm0I/AogIi2A/YDHVXUj8DwQOT9saSURZj5Ao0bO3H/22fiPZRhGXPCrTP8G6nt/dwf+VNUF3vNdQIwSJaUYiTDzA1x7LTz6qIXmM4xSil9NMQe4RUR2AkPJb/K3AFbFWrCUIE67+aFM/+7dO0PTpvDmm9C3b9g23bvHXBzDMGKA35npTUA9YBpuFjoi6N45pFOqkmASZeYHuO46ePjhxI1nGEbM8Hs2/ydVPRBooKotVDUn6PYQnLJNPxJp5gOcfjqsWQNz0/O3yTDSmahSPavqXyHK/qeqa2MnUgqRCKf9YMqXh6FDbXZqGKUQ39MuEWkOnI2Lc1pww0lV9ZJYCpYSJNrMB3cS6q67YOlSaNEisWMbhlFsfGkKETkDeB03k11D4SDR6Zm3IdFmPkCNGnDVVfDggy6ilGEYpQK/Zv69uMhRe6vqPiGCRDf3O6CINBGRN0Rkg4j8LSJTRSRk5tMw7VuJyOsi8qeIbBWRH0VkiN/2UZFoMz/ANdfAlCmwYkXixzYMo1j4VabNgdElXRsVkWrAJ8BBuIym/YEDgE9FpLqP9p2AL4HKwKVAL+Ah4hX+LxlmPkD9+nDppTBqVOLHNgyjWPjVFD+wx2m/JFyGU8wtVXUpgIgsAH4CLgfC7ryISDlgIvCxqgYn+vs0BnKFJhlmfoDrroPWrWHYMHdCyjCMlCYaP9PbvE2oknA6MC+gSAFUdRnwBXBGEW27A62JoHBjTrLMfHAKtF8/eOih5IxvGEZU+FWmI3Az08Ui8r2IfFbg8hvvtA3wfYjyhThFGYmjvccqIjJPRHaIyBoRGSsiVX2OHx3JMvMD3HSTO6+/Nj09zwwjnfCrTHcBP+KOla71ngdfeT77qQesC1GeC9Qtou0+3uOrwIdAD+D/cGunk8M1EpFBIpIlIllro1VKyTTzAZo0gfPOgwceSJ4MhmH4wpemUNXuMRwzlBuV+GgXUPwvqupw7++ZIlIeeEBEWqvqooKNVHU8MB6gU6dO0blwJdPMD3D77dC2LZUPH8r2hpan3TBSlahOQMWAdbjZaUHqEnrGGkzg9NVHBco/9B47lECu0CTbzAfYe2+47DKavXBPcuUwDCMivpWpiOwrIg97JvMyEWnrlQ8VkcN9drMQt25akNbsSd4XqS0UntkGZrV+lxp8s2n9DuZ/U8FfgOd4ctNNNPh8KlVX/ZRkQQzDCIffHFBtgP/h/EJX446UVvJuN8MFO/HDNKBLsFeAiGQCR3n3IvE+7uTVSQXKe3qPWT5l8I3k5bnz8smmXj1W9r2WzOeHF13XMIyk4Hdm+hCwGBdhvw/51zjn4NKa+OFpIAd4W0TOEJHTgbeBlcBTgUoi0kxEdorIbu3hBVkZCQwWkftF5AQRuQUYDkwMdreKGXm7UEn0Skhofj1rCHW+nWmJ9wwjRfGrKY4GHlDVTRQ2s/8AfHmVq+pm4DhgCTAJeAlYBhzn9R1AcKeaCsp3N87n9WxcgOorcEn9LvP5OqJCNA8tlwIzU2BX1RrkXDjCOfNreoZCMIzSjN/dlUjrkRnAVr8DquoK4Kwi6uQQYodfVRXntJ8Qx33ZtQvKJX5mGi6q/u+nXELLGeNcNP4+fRItlmEYEfCrKb4CLgpz72zcCab0I4VmpgBavoKLdXrjjbC9YOAuwzCSiV9leg9wmoh8iNuEUuAEEZkI9Abui5N8SUXykjMzjcgJJ0CbNjB2bLIlMQwjCL9O+7NE5ExgDPCcV/wAbjPpTFX9Mj7iJZm8xM1MQ7lfhXXJGj0ajjwSLrwQGjbMV88S7hlGcvA97VLVd1X1AOBA3IZUK1Vtrqrvx026JCOalzK7+fk48ECnSG+5JdmSGIbhEfXxHs8FKfZuSClIsjagfDFiBLRqBZ9/DnRNtjSGUeYpUlOIyD4icpeIzBCRhV7UqI9EZLiIpHegzRTbgMpHzZowZgxccQWy459kS2MYZZ6IytTL/bQEuAMXHX8DsBFohQvL95OInBJnGZNGKm5AzZy55+Kss6BpUxq/8UhyhTIMI7wyFZFmwIvAt0AHVW2sqkeq6hGq2hjoCCwAXhaR9AxnlMANqGIhAo8/TtNXRlHl95xkS2MYZZpI067BuNilJ6rqgoI3VfVb3Ln4P726aYek0HHSsDRvzsq+13LAmKvsZJRhJJFImuJY4GlV3RKugncE9GnghFgLlgqkTKCTIlh5zo1UXruSvT56cXfZ7qUAwzASQiRl2gLwE1Xja69u+lEaZqaAVqzEDzdPYP8nr4fffku2OIZRJomkKWoD6330sQGoFRtxUotUCnRSFJsO7Mjq0y6Hyy83c98wkkAkZVoefwGXtYh+Si0p7WcaguX974CcHHjxxSLrGoYRW4py2r9LRP4sok5GrIRJOUrRzBScuc/zz8PJJ1PpieP5J2OfkPXs+KlhxJ5IynQFzp/UDytiIEtqoYqoOvej0sShh8IVV3DQgxex4MH3SVOjwTBSjrDKVFUzEyhH6pGXh5YrV/qUKcAdd1B+SjcavzEGjrsu2dIYRpnApi3hyEvRICd+qFCBxcNeounLD8A33yRbGsMoE5RSbZEASsHmUyRf0m1778fSfz8K550HmzcnUizDKJOktrZIJql+lNQHa44/Dw4/HIYOTbYohpH2mDINx65dUFrN/GAef9xNX196KdmSGEZakwbaIk7k5aGl4ChpkdSsCVOmuNnp998nWxrDSFtMmYZjV+k4SuqL9u3hoYdcyL6//062NIaRlqSJtogDeXlQytdM8zFgABx7LFx8sR03NYw4ENbPVESW4Y6K+kFVdf/YiJQi7Nrl/EzTiTFjoGtXGr/+MKvOvj7Z0hhGWhHpBNQs/CvT9CMNdvMLUaUKvPEGTTp2YXPz9qzr1CPZEhlG2hDpBNTABMqRepQCP9Ni0awZi4a/Spu7+vLNmM+AlsmWyDDSgjTUFjEiHWemHhsO7sYvl9xPu2GnQW5ussUxjLQgqlTPInIwbipTpeA9VX0hVkKlBKXUz9RvdP3fT7mE6jkLqXb22fD++1CxYlzlMox0x5cyFZE6wLtAl0CR9xi8pppeyjRd/Ewj8PPgUTR56DQYMgTGjSudQV0MI0XwO/W6H6gPdMMp0t7AccBLwC/AYXGRLpmU5kAnfilfHl5+GT7/HEaPTrY0hlGq8asteuIU6jzv+SpVnamqA4AZwJB4CJdU0nUDqiC1azsz//HH7cipYZQAv2umewO/qOouEdkG1Ay6NxV4JeaSJZs03oAqROPG8N57cNxxsNdecEJaJps1jLjid+r1O1DH+3s5cETQvfTMTFpKN6CKTZs28MYbcP75FgPVMIqBX20xmz0KdBJwp4g8JSLjgFHAB/EQLqmUpZlpgK5d4Ykn4NRT4eefky2NYZQq/Jr5dwGB7GyjcJtR5wDVgGnA1bEXLcmk43HSEBRypcr4F92H/+VM/c8+gyZNkiGWYZQ6fGkLVf1ZVT/3/t6hqteramNVraeq56vqX34HFJEmIvKGiGwQkb9FZKqINI1WcBG5VURURGZH29YX6RboJBouvxyuvhqOPx5+/z3Z0hhGqaBIZSoilUQkV0ROL+lgIlIN+AQ4CLgQ6A8cAHwqItWj6Kc5MAxYU1KZwlJGZqZhue466N8fevSAv3z/VhpGmaVIM19V/xGRncC2GIx3GdAcaKmqSwFEZAHwE3A58LDPfp7E+bi2JMpTXL4pi2umBbn9dpc/qmdP+Phj50ZlGEZI/Cqit4B/AR+WcLzTgXkBRQqgqstE5AvgDHwoUxE5H+gInIdzy4oPeXlpcSLI7/HSkIjAyJGwZYtTqB98YArVMMLg1459HzjZW+u8QESOF5Hjgi+f/bQBQuXOWAi0LqqxiNQFHgFuUtX4RujIyytbrlHhEIFHH4XDDnObUuvWJVsiw0hJ/M5Mp3iPfbwrgOKOlyrgxyauB4T6NuYCdX20HwUsASb4qAuAiAwCBgE0bRrFPpcqmgYz05gQUKg33OAc+2fMgPr1ky2VYaQUfpXpccQuUHSoforUWiLSFRgAdFT1n3dDVccD4wE6derk/zWopoWZXxwCSwPduweVzRI4dTTdK97q0p/MmAENGyZDPMNISXwpU1WdGaPx1uFmpwWpS+gZazBPAc8Cq7woVuDkL+8936qq22Mkp5cnqWwq07AE1lArVXIK9eOPoVGjZEtlGCmBr0VBEfnFi2Ua6l5bEfnF53gLceumBWkNLCqibStgME7pBq6jcGEB1wFX+JTBH2V4ZhoREbj7bnfs9Oij7aSUYXj4NfMzgcph7lUBmvnsZxowWkSaq+ovACKSiVOKtxTR9tgQZWNwa7VXA0tD3C8+tmYamWHDoF496NbNBUk5OORvrWGUGaLx0Qy33tgJWO+zj6eBfwNvi8jtXp/3ACtxZjwAItIM+Bm4W1XvhtBLDSKyHqgQw2WIPdjMNKRbVb6yVlfQ4LIM2vTo4YKkdOtWqF7wuqthpDNhzXwRuVZEVojICpzSmx54HnStBcYB//UzmKpuxm1mLcEFTHkJWAYcp6qbgofHzTiT55tka6a+WNu9L0yeDP/6F7z9drLFMYykEWlm+gvwsff3hUAWsLZAne24tc5n/A6oqiuAs4qok4MPTaaq3f2OGzU2M/XPCSc4U/+002DNGrjssmRLZBgJJ1Kq57eBtwHEKZW7VXVZguRKPrZmGh2dOrkoU716wS+/QI/7ykamAsPw8Ptpv5wwQUVEpLqIpF9qS5uZRs8BB8DcuTB7Nq3vPpdy27cmWyLDSBh+lenT3hWKpwjaPEobbM20eGRkwIwZaIWKdLj2WGf2G0YZwK8yPRbP5A/BNOD42IiTQqiW7RB8JaFyZRYPe5Hczj2hSxdYVJQLsWGUfvy6RjUkfOzQtcBesREnhUiTqFGJIGRkKhFyLrqLzOP3d/5REya49dQwbc2Fyijt+J16rQHahbnXDki/6MFm5seGAQPgrbdg0CB3FNV/WAXDKFX4VabvAHeISPvgQhFph4t4Pz3WgiUd24CKHUceCV9+6ZTqOee4gNOGkWb4VabDcaecskVkjoi85gV0/hrYANweLwGThrlGxYSZM73rp31h1iyoUQOOOAKWhfeyC7QxjNKE34R6fwKdgZE427eD93gf0Nm7n17YzDT2VKkCzz7rnPqPOMKF8TOMNMH32XxVXY+boQ6PnzgphK2ZxgcRl/m0XTs4/3ya9RzM8guG4S+2uGGkLlH5/ohIhoicKiIXikg9r6yKSBrm97CZaXzp3h2ysqj79ce0v6UXrC14UtkwShd+45mKiIwCVuH8Sp/DheUD5386LC7SJRNbM405hdZC99mH7x7+mI0HdoSOHeGLL5IkmWGUHL8zyltxofPuBg4nv/07HTg1xnIlH5uZJgQtX4Fll42E//wH+vSBhx4y9ymjVOJXmV6KC3RyP24HP5ilwP4xlSoVsDXTxHLKKfDVV/Daa7S9/Qwqbki/PU0jvfG7AbUvMC/MvX+A6rERJ4WwmWlCceZ/M+Tez9nv2WF0urQD3y6dyPpD3UllOyFlpDp+Z6a/Am3D3DsYF+A5vbA106SgFSvxy+BR/HDz87R6YADNx9+C7Pgn2WIZRpH4VaavA8NF5KigMhWRA4HrgVdiLlmyMTM/qazr1IOsp7+lWs5CDrn6KPjpp2SLZBgR8atMRwA/AJ8BgU/168D/vOcPxFyyZGNmftLZUacB3983jd97DnRHUidMsM0pI2XxewJqK9AdGAjMAWYA84FBQA9VTT87zJRpaiDC6t5XwSefuJ3+vn0L+aT6PX5qx1SNeOLb2V5Vd6nqJFW9QFVPVNXzVHWiqu6Mp4BJw9ZMU4t27WD+fNhvP5dWetq0ZEtkGPmIJtUzItICOAy3u78KmK+qsc1XnyrYmmnqUaUKjBoFp58OAwfC1KkwZgxQJ9mSGYbvE1BVROQ5YDHwIvAgLk3zYhF5RkQqx1HG5GBmfurStSt89x1Uqwbt21M32wKmGMnHr5k/GugH3Am0AGp6jyOA/sCoeAiXVEyZphSF1jtr1IAnnoBnnqHl/13MAWOusjipRlLxq0zPBe5S1ftV9RdV3ew93oc7Ynp+/ERMErZmWjo48USynl1A+a2boH17+PTTZEtklFH8KtPKwFdh7n0JVIqNOCmErZmWGnbWqMMPt06ERx91aVIGDYL165MtllHG8KtMZwAnhrl3IvBJbMRJIczMjxu7o+/PjHG/NU7l8ye/59c/yrP9gLb87z7b8TcSh9/d/IeBSSJSHees/wcuI+nZQC/gAhFpHqisqr/EWtCEY6meSyW7atTmp2ufZM2x59Jy9KXwv8kwdiw0bJhs0Yw0x6+2mAU0Ba4APga+9x4He+WzcCehAlfpJy8PM/NLLxs6HEPWswugWTPnozppkp2eMuKK35npRXGVIhUxM7/Uk1e5Kjz4oDs1dckltKsymZ+ufZI9cc0NI3b4UqaqOjHegqQcpkxTksA6a1Qh+Tp1gqwsNlwxikMv7wQrboJrr4WKFaMeo1jjG2WCYi0KikhtEekkIo1jLVDKYK5R6UXFiqy44Dayn/gSPv7YpUmZMyfZUhlpRFhlKiI9RaRQNCgRuQ1Yg3OJWi4ik0UkqmOppQJzjUpLtu27P/z3v3D77c78HzQIcnOTLZaRBkRSgoOBfCv2ItIDuBcXeu8ZoBVwOZANPBQnGZODmfkpjV+3qpD1ROCcc6BnTxg2DNq0cWf++/Wz/7lRbCKZ+YcA7xYouwjYBvRU1cdU9UrgKdL0BJR9sdKcOnVg3Dh4+20X3u+EE2DJkmRLZZRSIinThsDPBcp6ALNV9fegsneBA2MtWNKxNdOyw2GHufB+p54KRx5J5oQRlPtnW7KlMkoZkZTpRoIS5YnIAUB9CifW+xso73dAEWkiIm+IyAYR+VtEpopIUx/tOonIeBH5QUS2iMgKEXlJRPbzO3ZU2Jpp2aJCBbfD/803VP9lAZ0vagvvvZdsqYxSRCRl+gNwRtDzM3BrqB8WqLcf7kRUkYhINdzR04OAC3ERpw4APvVOV0XiXKANMBY4GbgF6AhkiUgTP+NHhZn5ZYJCx1qbNGHh3VP5acjjMGQInHkm5OSUvF8j7Ym0AfUIMFVE6uGU5UDcxtMXBer1Br7zOd5lQHOgZSCotIgswJ2auhx3bDUcD6pqvnwVIvIFLjPqZcBwnzL4w5RpmSb3sJNgyPcwerTzUx0yBG68EaiSbNGMFCXszFRV3wKGAp2BATjzvq/qnjN5np/psYBfe+h0YF5wdH5VXYZT0GeEbeXqrQ1RthxYi4v8H1tszdSoXNnt9mdnwzffQNu21Pvy/WRLZaQoEf1DVXUszqwOd38V0eWMaAO8HaJ8IdA3in4AEJFWuI2yxdG2LRJbMzU8Zi5rBtdMpd6X79PisWvY/E5b5l31CNsaZQJ2GspwJDosUj1gXYjyXKBuNB15BwX+g5uZPlty0QpgZr5RgNzDTybruf+xsWUnDr28E80m3Wu7/sZukhFjLlTonuJorceBI4ELVDWUgnYdiwwSkSwRyVq7ttBKQXhMmRohyKtUhRUXDCP7qSxqLMmm08Xt4H0z/Y3EK9N1uNlpQeoSesYaEhEZCQwCLlbVgt4F+VDV8araSVU7NWjQwL+ktmZqRGBbo0wW3vMmS68eC9dcA717F2vX30gfEn2mfiFu3bQgrYFFfjoQkWE4t6hrVHVSDGXLj62Zpi0lOopagNzDT4Yh/4PRo9lxcCdW9r2WlWffAJUKJ+y1iFPpTaJnptOALsFR+UUkEzjKuxcREbkGFxtgmKo+FicZHWbmG36pUgVuv53sp7Ko9cN8Ol/SjrrzIxpMRhqSaGX6NJADvC0iZ4jI6bjd/ZW4M/4AiEgzEdkpIsODys4FxgD/BT4RkS5BV+uYS2rK1IiSbY0y+f7et1h65SMc+MhgWo/oC6tWJVssI0Ek1MxX1c0ichzuQMAknB39MTBUVTcFVRXcEdVgZX+SV36SdwUzC+geY2FtzbQMEcvTSrlHnML8jsfRdPID0KED3HwzDB0KFA5G7cf0D5bNlghSl4Tv5qvqClU9S1VrqWpNVT1TVXMK1MlRVVHVEUFlA72yUFf3OAiKrZkaxSWvclVyLroL5s2DTz6BDh2o/e2sZItlxJH0C+ocK8zMN2JBixYuYMqbb9LqygFsaNcVDhoNjRolWzIjxlgu43BYqmcjVohAnz589fwitjdo7LKljh0LO3cmWzIjhpi2CIelejZ84jdCVF7V6vwy6AH47DN46y3o3JlaC+eWaEyLTJU6mJkfDjPzjXjRqpVL6vfKK7S55l/kdj4J2j4IGRnJlswoATYzDYcpUyOeiMB55/HVhMXsrF7L5aEaP96ziIzSiM1Mw2GuUUacyGeaV6/Fz1c9wu8nXcSBjwym9qRJTqm2alV0WyOlsJlpOMw1ykggm/dvzzdjZ8O550LXrnDPPfDPP8kWy4gCU6bhMDPfSDTlysFVV7lA1F99BR07wtzibVAZiceUaThMmRrJorBnUKYAABJNSURBVEkTmDYN7rgD+vShxdhrKL9lY7KlMorA1kzDoYqK/dYYJSPaNc499YXu55wDPXpQvt8NdL6oDUuue8pFqSrmuHYUNb6YMg3HIYewqZIpUyPJ1KvHjzc/R53sj2k5+lLWHdqDn698iF3VaiZbMqMApi3C0bs3fx0dMcefYSSM9YceT9Yz3yGaR6dL2ts5/xTElKlhlBJ2Va/Fjzc+w9JrHqP1feez/7jrKLd9a7LFMjxMmRpGKeOvI05l/jMLqPznrxx6+aFu999IOqZMDaMUsrN2fRbd+SrLL7gdTjwRHnvM8402koUpU8Moxaw54XznizphAvTpA+t856U0YowpU8NIUXxHhWrRAubMgWbN4JBDEuLob1GrCmPK1DDSgcqVYcwYFyf1zDPZe9pTRbcxYoopU8NIJ04/HWbPpvHURzngkSuQHXa+P1GYMjWMUk4hc/uAA/h63Dwq/7mag68/noq5fyRfpjKAKVPDSEN2Va/F9/e8yfoO3el49ZFUXfVTskVKe+w4qWGkK+XKkXPxPWzfqxkdhnSDltOgc+dkS5W22MzUMNKc3065lCXX/gd69YIPP0y2OGmLzUwNowzw19Fn8E3t+rQ5pw+Lb3uRdZ1PLLJNMqJMBa+zlrYoVzYzNYwywoZ2R7Pw7qm0uq8fdb7+JNnipB2mTA2jDLGh3dEsHPEGre8+h5qLv0q2OGmFmfmGUcbY0OEYfrzxWdoO783Xj89l+15NfbcN5e7kxwWqKPM9Uh9F9Z8qywE2MzWMMshfR53OyrNvoN1tp1J+66Zki5MWmDI1jDLKqn8NZeOBh9Ji7NXJFiUtMGVqGGUVEZZe8xi1F86h4ccvJ1uaUo+tmRpGGWZX1RosGjaZ9rf2IrfTieysXX/3vVgcBy3JWmgsCIyRiHVVm5kaRhlnU8tDWdP9bJo/OyzZopRqTJkahkHORXeT8dkUO8NfAkyZGobBzpp1WX3GlTR5ZVSyRSm1mDI1DAOAX/tcTcOZr1Jh0/q4jhOv8HzJDvuXcGUqIk1E5A0R2SAif4vIVBHx5TUsIlVEZJSI/CYiW0Vkroh0i7fMhlEW2FE7g3WHHEfG528mW5RSSUKVqYhUAz4BDgIuBPoDBwCfikh1H108C1wGDAdOBX4DPhCRDvGR2DDKFn927UP9ee8mW4xSSaJdoy4DmgMtVXUpgIgsAH4CLgceDtdQRA4GzgcuVtXnvbJZwELgbuD0+IpuGKlNLEzcDe270vypm0reUQzw+3picZw1FiTazD8dmBdQpACqugz4AjjDR9sdwKtBbXcCrwA9RaRy7MU1jLLFtr2aUX7rJspv2pBsUUodiVambYDvQ5QvBFr7aLtMVbeEaFsJaFFy8QyjjCPC9oZNqfLH8mRLUupItJlfD1gXojwXqFuCtoH7hmGUkAUPvMc/9RolW4xSRzKOk2qIMvHRTorTVkQGAYO8p5tE5McQ1TKAP33IUJaw9yQ09r4UJt3fk2Z+KiVama4j9AyyLqFnncHkAqFcqOoG3S+Eqo4HxkfqWESyVLVTEeOXKew9CY29L4Wx98SR6DXThbi1z4K0Bhb5aLuf515VsO0/wNLCTQzDMBJDopXpNKCLiDQPFIhIJnCUd6+othWBvkFtKwDnAB+q6vZYC2sYhuGXRCvTp4Ec4G0ROUNETgfeBlYCTwUqiUgzEdkpIsMDZar6Lc4taoyIXCoix+PcovYD7iyhXBGXAcoo9p6Ext6Xwth7AohqqD2dOA7ojo4+AvTAbR59DAxV1ZygOpnAMuAuVR0RVF4VuA/nvF8H+A64WVVnJkR4wzCMMCRcmRqGYaQjZTZqVEkCrqQrItJYRB7zAshsERH1rIQyi4j8S0SmiMhyL7jOjyIyUkRqJlu2ZCEiPUXkExH5XUS2i8gqEXlNRIo6eJPWlMmZqecR8B2wHbgd5796L1ANaK+qm5MoXtIQke7/396ZB1tRXHH4+wFuEY0L7hiDimgKQUBcMAmWoCJV7kticEFDjCyJaBmjf2i9xLhEo1nKSKIkBRqLVCwFjahElEeiKIpKRAuMBlFxiRuYIIogJ3+cfr5mmHffhTePe2X6q+q6d3qbM3d6zpw+3bcb90s/DXQEjgK6xS6YsiHpCeA13Le/GOgDNAALgAFmtrp20tUGSacDfYHZwLv4lMVLgd2B/c2slH+fKqsyvQBfVCVecKUbvuDKJWbW4oIrGzOSOjQpB0kj8AHDsivTHczs3UzcWcBEYJCZPVIbyeoLST3wF8zFZnZDreWpBWXt5rdlwZWNljJaWa2RVaSBp8LnbhtSljrn/fC5sqZS1JCyKtO2LLiSSAwMn/NrKkWNkdRR0qaSuuNTG9/GpyuWkrJu9dyWBVcSJUbSbvj6udPNbE6t5akxs4F+4fvLwBFm9k4N5akpZbVMYf0XXEmUFEmd8YGoVcA5NRanHjgTOASf9/1f4KEyz/4oqzJty4IriRIiaXP8L817Akeb2eIai1RzzGy+mc02s0nAIKAzPqpfSsrazW/LgiuJkiFpE+Au4CBgsJnNq7FIdYeZLZX0MiVepL2slmlbFlxJlAhJHYA7cMvreDN7osYi1SWSdsI3yvx3rWWpFWWdZ7olPmn/Y5on7V8JbIVP2l9WQ/FqiqRTwtdBwPnAKHxi9rtmNrNmgtUISePw3+Eq4L5M8uIydvclTQaeAZ7DfaX7ABcCOwMHmdm/aihezSilMoXqFlwpI5JaahAzzezwDSlLPSBpES2vtL7GQjxlQdKPgdOAvfD9114HGoFryvz8lFaZJhKJRJGU1WeaSCQShZKUaSKRSBRAUqaJRCJRAEmZJhKJRAEkZZpIJBIFkJRpIpFIFEBSpolEIlEASZkmEolEASRlmkiUHEmnS5obwhJJb0TH59Zavi8K6R9QiUTicyTNAn5pZnfWWpYvGskybQVJw8OWx3lhaZSvocL/2r+Q1PM1SeoW7sE7kr7bTuc4V9JLkj6N73WUfrCkVUGO17LbP0uaGLWVq9tBvu9H9V+WSXskShuRSXsuxK+KZQ4rZPUCnq1H+eqdpEyr51Tg0EwYHKWPD3GJDcN7+CI1S/BtRApF0q7ALcAs4AjWvNcAmNlsfJdb8G2Or4/KHwOcFQ7nAz8pWkZ8A8gmDovO3RFfezUv7cs0r+U7z8z+F+XrAXxGccvoFS1fXVPWxaHXh7nxbqZZwlJspVuOrVaEh2y6pD8AP5e0Y8H7D3UHOgITzezRCvmuwHe77QGcJ+kvwBxcEYMrp+FmtqJA2Zp4AVgKbAMMkCRzv90BwJZRvsOi74fSbETFyg6gL97Oi+qNFC1fXZMs04LI6xIHx/4CSZ9ImifpOEmNkhoz+XpLujc4/z+W9Jikb+TVL6m7pKmSlkl6VdIVoXuGpNNCnl458j0gaW50vLek2yW9Es65UNI4SRU3FJQ0ISxLl41f3+vaR9Lk0F3/JHSX75RU7Yv+xfDZu8r8SBoi6fEg04eSpsj3ff/8GvEl5QAeDr/phLy6zOwTfD+o1fhSjuOBm4GuIcuNZvZktbKtC0ExPR4OtwX2C9+blNM0XJl3l7RDJg3c6o7pg69TWq/y1TVJmVZPR0mdMqHF30/SkfgK7QuAk4FfAL/CF9KN8/XFG812wPdC3vdxq6sfazMZeAQ4AZiCdx/PDmn3Ah8CZ2TOsRPeTb09it4Vt6THAkfjXeVBwP2Vf4bqWIfrug/ff35kkONSYAVVtE1JAi4Kh2u9QFooMwSYCiwDvhXO2xN4VL7zKPhC4T8M30fj1tKVLdVpZo/j9xagGzAsfH8Rt1wrXkNOu8oLHVuoIq8rPSB8PgjMy8TFyirPMi3EX9rCOdoqX31jZilUCMBwfCX+vHBflK+B8DIOx7OA5wkzJkJc31CuMYp7GPepbRrFdQxxU7L1A+dk5JsH/C06vhVXkh2iuLH4jpq7VLjOTsDXwzn65F1TiJsALMop37iu1wV0Cec7bj3vzWjgU1wx3lZlmTnAS0CnKK4bsBK3IpviBgfZDq+y3i1wX2PcPgZUUe7wCu0rDo1VlJ8Y4l4Px/2Bm8L368I9XhaOF+fU9QHQs+DnpzD56j0kn2n1nMjaPtG1Rnjhcwf7gfjK4593/c3sGUmvRPm2AAYCVwOrM13b6TRbODFTM8fP492zJm4HRuCDJtND3Jn4Pu9vRefeFLgYHyTZA9g8qqMHbbBQ1uG63gcWAtcG67nRzF6q8hxfBa7FtxP5JlVYpvLtavoCV5vZqqZ4M3tF0mNB5vVle/zlENOD1ruqT+NKpTVaGoh5En8RbAIcJt9BoiuwHJiLr4Y/Grf4+tDsq1xLLjPL27G3rRQmX72TlGn1PG8VBqAydMEbT96AyH+i79vh1trlIayFpA5mtjqK+iCTZQVrKsJ/AIsIClTSfrgCOSNT7hrgB3j3fhb+sHYF7s7Utz5UfV3BHdIQ5Nk+vGyuN7NxrZzjVuBlXGFvDYyRtImZraxQZlvcr/lWTtrbtLw9STXcEuQAt6wE3Chpmpm9WaHcMlyptEbuoJCZLQ++8P64YjopJD1pZislNQ2e9cNfsE1skC50UfJJOgjv/cT7S/3GzP4oqSfu7toXdw8txy3de4A/4y+1FfizN9LMFhZ3hc0kZdo+vIe/jXfMSdsJeC18X4oPXPwWuC2voowibRUzM0l/AsZKGokr1WW4rzXm23jX+GdNEZI6V3GKT/B9f7Jsj1uasA7XFRr2WcH/2RsYA9wsaZGZPZBXVtJ5uBXZPzyQc4NM+9Lsg8tjCa6Uds5J2zmSf52QNBw4Jhz+HfgrPk1qG+D3wLEVig8EZlRxmpl4lzmPx2i2bi8Mn7PAZ5lIeg34Cr45YlxmQ1GEfP2AqWZ2ahwp6WDcABhlZveEuG64/x9gnJlNC/Fj8AHCWGkXR639DPUeaPaZ7t1KvgZa95n2Y22faSP+oHSopn4iX1+In0DGh4kPchlujb4KTMipb0loaHHcbaHc8LxrCnGX4SOwXaK4vXDf5TpfV45cWwcZftRCeld8kO2KKG7/UGZYFfU/hQ8Kdozi9gjy3xDFVeUzBXahWUkvx/eN74ArgyZf4RkVym+Fu4RaCz0q1HFKdK6mMDRKvyOT9lFOOzqI5q53Uzg3Su8J3IVPd5qPuyfOxgdB54f804A920m+8cAlmbhOeO9keJVt60By/P1FhXapdGMKNCvTU4BDckKnkK+BNZXpkaHcFGAo7ptciHcxH4ny9cUtx4dwa3EgPvJ9FXBtlK+BKpVpiH8C9/EaMCgnfVJ4eEYBRwG/Cw2zNWW6Nz6YNQ0ffR+GvzTeZE1l2up14X7OGfhWyoNDfZNwq75fC/fjfnz6ziZRXCfcYr6uivs5BH8ZPIBbjKfjXcd3gV2jfNUq03sjJXBhFL9P+H0Nt3h3bsc2ugtrKqPVwLZR+qhM+oycOkYCd7ZQ/8HAG8DxUVw3vBdxdBQ3Jm7bBcv3LD5w2KToR4T79xaZZ6LC7zQR+HW73Yf2qnhjCVQezTeChdaC4vkOPj1mBf5GPzE0ismZfPvhvp13Qt7F4SGN394NrJsyHR3yrzGyH6V3CedcEsIdeFesojIN8SfgCvRj4J+4Mm4kM+Lc2nXhbpCJuDJbjvuDZ8YPaM69+BTonZM2B3iwyns6BJ//+DFu5d5DxvKjCmWKv0ia2sGs7O+Md2mb0u9u53a6MDrXC5m0Xpk2e1VO+bUsvxBftfVHBcuvLfIBm4X2s1Um/nK861/N73NZuOdfaq97kBY62YBI6oo3zKvMrMV5i4nEhkbSs0BnvIsNcJOZjZd0LD64trtFMyBaqGMisNTMLihYtv7AJDPbOxM/FjjKzIa2Uv5ivHc02MxyZ+AUQRqAaifC9KAb8alA7wF7ApfgFtj4GoqWSKyBpM2Ar+G9rOwUrAOAZ6pQpJfhro1BlfKtJ/3wHlCWqUCDpAFmNivI0R04wMKqV5Iuwl057apIISnT9uQzfIT4Jnyk+yN82tKpFs33TCTqgF7A6zmKFHzKnCoVDpbfybjCWt4O8vUDnstGmtlLkk4CrpevLrUp7lL6aZCrK3AD7mKY4RNGWGVmB7aDjKmbn0iUHUnnA0ea2ck5ad3xGRBD86y/YPkNwxXpkg0pd72RlGkiUXIk3Yr/fTN3mUBJR+BrE2StvwX4X0MX0vwPrXaz/OqdpEwTiUSiANKqUYlEIlEASZkmEolEASRlmkgkEgWQlGkikUgUQFKmiUQiUQBJmSYSiUQBJGWaSCQSBZCUaSKRSBTA/wEUh/jlMSJ3FAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 100\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:30.083718Z",
     "start_time": "2018-09-05T19:51:29.227652Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "48d6d9f9e933434fb30f30ba688683c8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 4.92\n",
      "% sigma 0.9811\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs50.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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R7kscb5W2wKhLVVdHy6Oq89WlC2lURDm24uJ6Rrf9Ki6N9OEi0iCqfF7MvajqOtzoKxIztFBEpB7QFzdyuydOm4vj3PYbLsRgNOO9c1HSF8d7L1fEq1gIj+NMSSNU9eWo8ktxqWKuUtVIhoHI+3QbTgn7me4vA67FBeiuhpt5/AMXz/R+EYlNeZPsMx8pS0lA6yCxaX7mEYnwG1RsxA2q+kNAbUVIlBW1QdTr2cD3wA3i8sa/gZsaf6/ekCMAFiRQXp/gggsfgItRiojUwE31T8RN93eJuWdP/NER9z96X6OSDRbCt3HqFiWL7GRcbM//icjLuOnwJ+rTDh+NiNyAC+L8okYl3hMXnLs17v26UQoGmq7rnQvN3Op93qI/c+uB58TFwJ2FMzs8GS1WER8jIzFlmnlEMo4m+iWuQfyspIkIPKOjqibKilouqs5WETkSt2h2Mi5YMMAiEbldVcfFaaOoJHq2v7xzDdieO+kjXOT2WbhRYR4uo0A7nIKt7LPPyP8lXpDjRJQoi6yqzhORQ3FK6Ay8BUgR+QJnPpjmRwgROQkXkPszXBDqaGrhlFpDknubFCclOQCq+r2IfIY3a4j6MYi8PzXYkSaGqLLoOhmLTfMzj1+8c9PYC+Ly2e8FFCXveLJRoBLny+yN4kqMqi5T1Ytxo74DcCkrBHjM+2KXlLoJyvfwzpEp4ok4pTlOVTuq6qWqeos6t50ZRexzlXfeq4j3lQhV/UZV++KUXldcKo/WwJsiktRvGbbnkHoWt1jXV1U3xlSJvFefavJssrFKuKhEFqCiZwYJP/O4RT4o2mc+FEyZZh6RXPS94lzrifuffRxQX6uInyiufZyyYqOq+ar6rarez44kd0XNnR6PhhI/DfRh3vkb7xxxQZqcpG40yTKSzsL9CPUQ/xlTA0NVN6nqNFW9DucRsSuFuA2JyJ64Z48sYhVISaOqa4AfgdbRbmtBIi6pYgfcqPz3qEvJPvORdClBfeZThinTDENVf8StlvcQke0fLhGpilts2caO1MAlZRbQWES6RPVTDTcVLBEi0licz2wskVFjtEtOZPvm/CJ2U4EYtx/PH/JgYFrUNDJyPixO3ePjtLvSOxf4ofEU0X+Bljgb7E54bkyBIiIHiUhOnEsF3ss491bFuaXtBfxDVb9O0tXDODPGIyJSJU5brURkdx/ydpaYbLTe63twZoQ3POUd4RXcyPgKEdkr6p6mwHk4v9/3C+s3bMxmmgZE5HwgorDaeecrZMf+/H+ranQK3MG47aSTReRF3M6QE3HZPEdqcLufRuNGu2+JyPO4EcPRxF9gKioHAP8VkZm4xYilOOfrvrgFibFRdSM/6lspGt8CR4nIp7iRS0OcA/ha4LKoepNxCvV6EWmFG4G1AvrgFONOJgdVXevZI7uJyL9xaZgVeNSzF1+Cc/26yzNXfIRb6W6FG3nVKeJzFEZ/4GIR+RA33V2Hmz30wiWeez3JvZfjFs3mAO28xcCd0B27lB4FDsUlP+wuIh8Af+LMNG1xn91DcP/LZIwFanv/l0U4Bd0Vt3g135Mpuv8VIjIEtyj1pYi8hJsVnAlUBS7UDN/9BJifaToO3IJHPL+7yDEozj0tcf6MebiRx5fA2UXsdz6F+xz2xym7zbgP/m045/CEfqYJ2tnpGi7L6d24xY6lwEaci9AEoEXMvSd4/d1ehGdTr89G3vu0Eqdk3gXaxam/L05xLgPW4DwLeuMWcwr8D3Bf/HdwCx+R/1OjqOu1cCvsP+P8L1fgHPOviqrTiAT+qsmuxanbCXjM+z/9zY6MpXdQiJ8pO/yaEx4JPhMfeu/pJtwP0TvAxUA1H/Jegdtgstj7v6/D/fDdDtRMct9xuEHEOtxI9V3gkLC/v34Py05qhI6I3IvzcWyo8XfIGEbGYzZTIxPoAjxuitQozdjI1DAMIwBsZGoYhhEApkwNwzACoEy5RuXk5GijRo3CFsMwjFLErFmzlqtqot122ylTyrRRo0bk5uaGLYZhGKUIEVngp55N8w3DMALAlKlhGEYAmDI1DMMIAFOmhmEYAWDK1DAMIwBMmRqGYQRAmXKNMoyg2LRpE3l5eaxZs4Zt27YVfoORcVSqVImcnBx22y2YXH2mTA2jiGzatImFCxdSq1YtGjVqRMWKFYmTgM7IYFSVDRs2sHjxYipXrkyVKgViYRcZm+YXBQsKYwB5eXnUqlWLnJwcKlWqZIq0FCIi7LLLLuTk5LBsWTA5J02Z+mXlSth3X+jSBTYkzBJhlAHWrFlDjRqB5Bw0QqZ69eps3BibW7B4mDL1y/jx0Lkz1KkDo0eHLY0RItu2baNixYphi2EEQIUKFdi6tajZcuJjytQvkyfDWWfB7bfDww9DQP8Ao3RiU/vsIMj/oylTP6jCl1/CwQdDmzbQqBG89VbYUhmGkUGYMvXDvHlQvTrs7mW57dcP/vOfcGUyDCOjMGXqh19+geZRKeD79oXXX4ctmZ991jD8MH78eEQEEeHnn38ucH3q1Knbr0+ZMmV7+YgRI7aXiwg1a9bk4IMP5vnnny+0z3Xr1jFgwAB23313RIQhQ4Zs72fq1Knb6z344IO8+uqrgTxnKjFl6oeFC6FBgx2v99nHrex//HF4MhlGCqhevTrPPPNMgfKnn36a6tWrJ7zvk08+YcaMGTz//PPUr1+f/v378+STTybta8yYMbzwwguMGjWKGTNmcNVVV9GhQwdmzJhBhw4dttczZZpNxCpTgOOOM7upkXWcfPLJPPvss0Qn2tywYQMTJ07klFNOSXhfp06d6Ny5M8cccwyvvPIKTZs25cEHH0za15w5c9hrr70YOHAgnTt3pmHDhtSoUYPOnTuXStczU6Z+iKdMjzoK3nsvHHkMI0UMGDCABQsW8Mknn2wv++9//8u2bduSKtNoKlSoQPv27Zk7d27COiLC+PHjWbRo0XYTwdSpUwtM8xs1asSCBQt47rnnttcbNGhQSR4xZZgy9cPvv0P9+juXdezolOwff4Qjk2GkgIYNG9K1a9edpvpPP/00J510ErvuuqvvdubNm0fNmjUTXp8xYwa9e/emXr16zJgxo8DUPsJ///tf6tWrR+/evbfXu+WWW4r2UGnC9ub7IS/POetHU6ECHHkkTJkCAwaEI5eReWSC/2kJtz0PHDiQq6++moceeoiVK1cyZcoU3irEpBUJ9pKXl8ejjz5Kbm4uV155ZcL6nTt3Jicnh8qVK9O5c+eE9dq3b0/lypXJyclJWi8TsJGpH1asKKhMwU313303/fIYmYtq+EcJOe2009i0aROTJ0/mueeeo169evTo0SPpPVWqVKFixYrsscce3HnnnQwZMoS77767xLKUJmxk6oe8PKhdG4CIx0b37jhlOny4+wBnwojEMAKgevXq9O3bl2eeeYb58+fTv39/ypVLPu6aOXMm5cuXp1atWjRo0KBMbrc1ZVoYmzfDxo3OaT+Wxo1h113h++/dzijDyBIGDhzIscceS35+Pi+88EKh9Q888EAqVCjb6qRsP70fIqPSRCPPnj3h/fdNmRpZRa9evTj99NOpWbMmrVq1ClWWypUrs6EURGozZVoYUVP8uPToARMmwJAh6ZPJMFJM+fLlfY1I00HLli2ZNm0ar7/+OvXq1SMnJ4dGjRqFLVYBbAGqMOKt5EdzxBEwbZptLTWMFHHXXXfRrFkzTj/9dA466CBGjBgRtkhxEQ1g9a+00LFjR83NzS3aTa+/DmPHujMxC1ARDjzQxTjt0iUIMY0MZ86cObRo0SJsMYyAKOz/KSKzVLVjYe3YyLQw1q51i0zJ6NHD2U0NwyizmDItjHXroFq15HV69nTO+4ZhlFlMmRaGH2XapQt89RWsWZMemQzDyDhMmRbG2rWFK9NddnFR+C0kn2GUWUyZFoafkSmY3dQwyjimTAtj3brCF6DA7KaGUcYxZVoYfkemBx4IixbBX3+lXibDMDIOU6aF4VeZVqgA3brBBx+kXibDMDIOU6aF4WcBKoJN9Q2jzJJ2ZSoi+4jIf0TkbxFZLSKvikiDwu8EEWkgIhNEZKGIrBeRn0XkdhHxqe2KgV+bKThl+t57gcSUNAyjdJHWQCcisgvwAbAJOBtQ4HbgQxFpq6rrktxbDZgCVARuARYCBwEjgf2AM1IitN9pPkCzZrBtG8ydC/vtlxJxDMPITNIdNeoCoAnQTFXnAojIt8AvwEXAA0nuPQynNHuraiS8/YciUhu4RkR2UdX1gUtcFGUqsiMknynTMklUuvdQ2ClmRBZw+eWXM3/+fCZPnry9bN68eTRp0oS6dety1113cd555xW471//+hdPPfUUX3/9daGBrYMi3dP8E4CZEUUKoKrzgE+BEwu5t5J3Xh1Tvgr3HKkJdb9+vXPK94vZTQ0jEH799Vcee+wxhg8fvlN5Tk4O7733HrVq1WLYsGFx7x08eDBLly5lwoQJ6RAVSL8ybQV8H6f8B6BlIfdOwY1g7xGRliKyq4gcCVwJjE1mIigRmzZB5cr+6/fo4Vb0vQRjhmEUjwcffJADDjiAjh13DthUvXp1evbsyXnnnceSJUtYunRpgXurVq3KwIEDGTVqVLrETbsyrQ2sjFOeB9RKdqOqbgS64GT+AVgDvA+8DlwWrJhRFFWZ7rUX1Kvn9uobRilk69atjBo1iiZNmlCpUiXq1q2b9hiimzZt4tlnn+Wss85KWKdZs2YAfPPNN3Gv9+vXj9mzZzN9+vSUyBhLGK5R8Za6C52ii0gV4CVgd2AA0A24FrfwNCbJfReKSK6I5C5btqzo0hZVmcIOu6lhlDK2bNnC8ccfz4MPPsjQoUN57bXX6N69OyNHjuSll15KmxwzZ85k1apVHH744XGvqyoPPOCWWL799tu4ddq1a0eNGjV4++23UyZnNOlegFqJG53GUov4I9ZozgO6A01V9Vev7GMR+RsYJyJjVbXAT5SqjgPGgQsOXWSJi6BMI4sPdfboSZspD8P11xe5O8MIk/vvv5/p06fz3Xff0aCB81js0aMH77zzDpMmTeKMM1LjNBPLzJkzERHatm0b9/ojjzzCjBkzqFatWsKRably5Wjbti0zZ85Mpag7+ktLLzv4AWc3jaUlMLuQe9sAK6MUaYTPvXPwoc9VXTqSSpUKrxvFqgO6wcyZLqupYZQS8vPzeeCBB7j00ku3K1KAihUr0rBhQ9auXZs2WZYsWUKNGjWoFOe7N3/+fIYOHcpNN91Ep06dEo5MAerWrcuSJUtSKep20q1MXwM6i0iTSIGINMK5Pb1WyL1/ArVEpGlMeSfv/HtAMu5g82aoWDFxZtIEbNt1N2jdGtJkqzGMIPj8889ZtmwZxx577E7lqsqSJUto3Lhx2mTZuHEjlRPMCC+44AKaNm3KjTfeSLt27ZgzZw5bEuRgq1q1atoym6ZbmT4OzAcmiciJInICMAlYBDwWqSQiDUVkq4hE+z2Mxy06vSkiZ4vIESJyLTAKmIVzrwqWJFP8qVMLHjthLlJGKSMyHd577713Kp8+fTp5eXn07dsXgDVr1nDZZZdx6KGH0qJFCwYPHkx+fj4Aw4YNo1+/fhx//PE0adKEvn378vXXX3PcccfRpEkTBgwYAMDIkSPp1asXhx9+OC1btuTwww9n+fLl2/usU6cOK1cWtPyNGzeOjz76iPHjx1OxYkXatWvH5s2b+fHHH+M+U15eHjk5OSV/c3yQVmXquS8dCfwMPAM8B8wDjlTV6DmEAOWj5VPV+UBn4Gvcrqk3cZsAxgG9VDU/cIGLs/gUoVcveOedYOUxjBQya9YswPl3RsjPz+eGG26gbdu2dOvWDYAzzzyTo48+munTpzN79mwWLFjAm2++ub2N9evX8/LLL/Pjjz8yffp0Ro8ezcSJE5k9ezaTJ0/mjz/+IDc3lw0bNvD6668ze/Zs9thjD8aNG7e93+bNm7NlyxYWL168vWzx4sVce+213HzzzRxwwAGAW2SCxItQ8+bN277qn2rSvQCFqi4ETimkznzirPCr6mzg9NRIFoeSKNNDDoF582DJEucuZRgZzqxZs9h777255JJLuOOOOxARHn74Yb766is+++wzypUrx0cffcQnn3zC4sWLuemmmwBYvXo1kSzHs2bNYur5n6jxAAAgAElEQVTUqVStWhVwbla33norlStXZtu2bWzdupUaNWqQm5vL5MmT2W233QBo06bNTiPTrl27As70EBkpX3jhhey7777ccMMN2+u1aNGCypUr880339C/f/+dnmfVqlX8/PPPXHPNNSl6x3Ym7cq0VFESZVqxIvTu7VJEX3hhsHIZRsCsW7eOn376iTFjxjB//nwuuugiNmzYQLdu3ZgxYwYtW7o9Nbm5uZx77rnb3ZKiWbx4Mfn5+TRv3hxwo8KaNWuyzz77AC6lcoMGDVi5ciV5eXl06NBh+70zZ87cbgIAaNSoEQcffDCTJ0/m5JNPZvz48UyZMoUvvviCihUrbq9XoUIFWrduHXdk+sYbb1CpUiVOOumkYN6kQjBlmoySKFOA44+HF180ZVqGKK1747/66ivy8/M56KCDGDx4MHfffXfcenvvvTcTJkxg7dq17LrrrmzatIlffvmF1q1bM2vWrJ12K33xxRc7vY5c/+KLL9i8eTNz585l//33Z+LEifz++++cdtppO/V18cUXc+WVVzJmzBgGDRrEoEGD4sqUm5sbt/zZZ5/ltNNOo06dOkV8N4qHL5upiHwqIgNEpASapRRSUmXap49bmUrTaqJhFJdZs2ZRqVIl2rRpk7TeaaedRvfu3WnXrh3t2rXj8MMPZ+7cudvbiFaeubm5cZVpbm4uV1xxBZdccglt2rRhwoQJvP322zuNOAEGDBhA/fr1eeSRR4r8PF9//TUffvhhgX39qcTvyHQLMAF4UEQmAONUNf7yWTaxaVORfUx3onZtaN/e7dWPcTcxjExi1qxZtG7dOq5fZzTlypXjoYce4qGHHipw7dZbb93p9b333rvT68g9Rx11FNdccw2jR49O2lf58uV58skn+fLLL/08wk78+eefPPXUUzRtGutJmTp8KVNV7S4izXBh8gYCV4rINOBR4FVVje/kVdrZvBkqVy5ZWLXjj4fJk02ZGhnN008/nba+vvzyywLBSxLRuXNnOnfuXOQ++vTpU+R7Sopv1yhV/UlV/wnUBwbhXJeeBxaLyN3RjvhZQ0mn+QDHHecWoSz6vmEAsHz5cmrXjrervHRTZD9TVd2kqs/gQt9NA+oC1wE/i8grIlIvYBnDIwhl2qwZVK0KX38djEyGYWQkRVKmIlJVRM4Vkc+BL3CK9EpgL+Bi4FCcI352EIQyFXFT/f/9LxiZDMPISPyu5rcRkf8DlgBjgQVAT1VtpaoPq+qfqvo4MBi3zz47CEKZApx6KkycWPJ2DMPIWPyu5n+DU6QP4lby/0hQby4wIwjBMoItW5zzfUnp3BlWroQ5c6BF8MGtDMMIH7/T/NOAhqo6MokiRVXnqOoRwYiWAQSlTMuVg1NOsdGpYWQxfpXpsUDc3PZehKcngxMpg9i6FSoEtEns1FPhP/8Jpi0jdNS8M7KCIP+PfpXp2bjFpnjkeNezjyCV6WGHwZ9/wi+/BNOeERqVKlVKW4xMI7Vs2LChwM6r4uJXmQrxczcB1AOy85O1dWuxp/kFYpyWLw8nn2xT/SwgJyeHxYsXk5eXx5YtW2yUWgpRVdavX8/vv//O7rvvHkibCYddInISEB1uZaSILI+pVhU4HBecOfsIcmQKbqp/3XUwdGhwbRppZ7fddqNy5cosW7aMFStWsHXr1rBFMopBxYoV2WOPPahRo0Yg7SXTFA1wihLcqLQdsCmmziZgOnAD2UjQyrRrV1i0CH79FfbdN7h2jbRTpUqV7aHlDAOSTPNVdbSqNlbVxsBC4OjI66ijuaqerKo/pU/kNBK0Mq1QAc44A57Lnn0NhmE4fNlMPcUZP59qNhOAMi2QI6p/f6dMzc5mGFlFMptpV+BLVV3r/Z0UVf04UMkyga1b3b76IDn4YMjPh9xcOOigYNs2DCM0kg27puIS2H3u/Z1oKBVZ6S8fpGAZwZYtUL16sG2KwD/+Ac8+a8rUMLKIZMr0CGB21N9lj6BtphH693d+p6NGBbPDyjCM0EmoKVT1o3h/lylSpUybNoUmTWDKFDj66ODbNwwj7fiNGlVORCrElPUWkatFpH1qRMsAUqVMwU31n3kmNW0bhpF2/O6AegHYvv9eRAYDbwH3ATNFpGcKZAufVCrTfv3gzTchLy817RuGkVb8KtPOwJtRr68F/g3sBrwK3BSwXJlBCbaTFkqdOnDMMeZzahhZgl9lujvwO4CINAUaA/+nqmuAp4Dk+WFLK6kcmQKcfz48/rj5nBpGFuBXU6wG6nh/dweWq+q33uttQJWA5coMAlamBbOcdqf7+vXw+efQqVNg/RiGkX78jkynA0NF5DhgCDtP+ZsCi4MWLCPYsiW1I9Ny5eC88+Df/05dH4ZhpAW/yvQ6oDbwGm4UOiLq2hlkU6qSaFI9zQcYNMgFjV6zJrX9GIaRUvzuzf9FVfcH6qpqU1WdH3X5SpyyzT7SoUz33BO6d4cXXkhtP4ZhpJQipXpW1RVxyr5T1WXBiZRBpEOZAlx8MYwZYwtRhlGK8a0pRKQJcDouzmnsgpOq6nlBCpYRpEuZ9uoFmzfDxx9Dt26p788wjMDxpSlE5ETgFdxIdikFg0Rn55AqXcpUBC6/HB56yJSpYZRS/E7zb8dFjtpTVfeKEyS6SepEDJF0KVNgWuOBbJkylRkvLkhLf4ZhBItfZdoEGJW1ttFEpFGZbqu6K38eNZD6rz2alv4MwwgWv8r0R3Y47ZcIEdlHRP4jIn+LyGoReVVEGhTh/hYi8oqILBeRDSLyk4hcGYRsBUijMgVY0vdS6r35BKxfn7Y+DcMIhqL4md7oLUIVGxHZBfgAaA6cDQwA9gM+FJFqPu7vCHwGVAbOB44B7idVgam3bEl5vNHolCYb6jdldatDYMKElPZpGEbw+B12jcCNTOeIyC9AbKgjVVU/KycX4EwGzVR1LoCIfAv8AlwEPJDoRhEpB0wA3lfV6BTUH/p8hqKT5pEpwMJ+15MzaiBccEHa+zYMo/j4HZluA37CbStd5r2OPvJ9tnMCMDOiSAFUdR7wKXBiIfd2B1qSROEGTgjKdHWbw5wj/8SJae3XMIyS4UtTqGr3gPprBUyKU/4DcFoh93bxzlVEZCZwILASeBG4XlU3BCTjDkJQpgAMHQq33AKnn+7cpgzDyHiKtAMqAGrjFGAseUCtQu7dyzu/BLwL9ALuxdlOn090k4hcKCK5IpK7bFkRnRG2boXyIeQJPOYY1/e776a/b8MwioVvZSoi9UXkAU8xzROR1l75EBEpSvy4eA7+foZfEVmfVdVhqjpVVUcBI4G+ItIybmeq41S1o6p2rFu3bhHEBLZtC0eZlisH110H99yT/r4NwygWfnNAtQK+w62+L8FtKa3kXW6IC3bih5W40WkstYg/Yo0mEhfgvZjyyPCtnU8Z/JOfH44yBZfW5LffYEZ2BuQyjGzD78j0fmAOLsL+yew8kpyOS2vihx9wdtNYWrIjrXSye6HgyDYii99FMP/k57tRYhhUrAg33QTDh4fTv2EYRcKvpugC3K2qaymozP4C6vls5zWgc7S/qog0Ag7zriXjLVxMgD4x5b29c65PGfwTpjIFF+t07lyYNi08GQzD8IVfTZFs1JcD+F1JfxyYD0wSkRNF5ATc6v4i4LFIJRFpKCJbRWRYpMwL/3cXMFhE7hSRniIyFBgGTIh2twqMbdtCUabbHfkrVnSr+sOGFXKHYRhh41dTfA6ck+Da6Tg/0UJR1XXAkcDPwDPAc8A84Ehv1BtBcLuaYuW7Fbcb63Rc6pSLcemmL/D1FEUlTJtphAEDYPFi+DB1exMMwyg5fp0obwOmiMi7ODckBXp6e+JPArr67VBVFwKnFFJnPnFW+FVVcU776XHcD3uaD87PdfhwNzr9+GPzOzWMDMVv2pKPgL64BagncYrubuBwoK+qfpYyCcMkpGl+Ac48E5Yvh7ffDlsSwzAS4FtTqOobqrofsD9uQaqFqjZR1bdSJl3YZMI0H5g6rTzf9b+btZde5xS8YRgZR5GHXao6V1Wnq+pPqRAoo8iEab7HisNOYGv1WjB+fNiiGIYRh0I1hYjsJSIjRWSKiPwgIt+LyHsiMkxE/LpElU4ySJkiwq+DRznb6bp1YUtjGEYMSTWFl/vpZ+AWXAzSv4E1QAtcWL5fROTYFMsYHpliM/VY0+Jg/mrelXmX3R+2KIZhxJBQU4hIQ+BZ4GugnaruraqHquohqro30AH4FnhBRPZJj7hpJkNsptHMO/9O9n51NPzxR9iiGIYRRbJh12Bc7NKjVPXb2Iuq+jVu99Fyr272kUnTfI+Nezbmj6PPhRtvDFsUwzCiSKYpjgAeV9WECYk8R/vHgZ5BCxY6+d6mrwz061wwcJgLzzd9OrBz6hPDMMIhmTJtCnzpo40vvbrZRQaOSiNs26U6jBoFl15qrlKGkSEk0xa7Aat8tPE3UCMYcTKIDLSX7kS/frDbbjB2bNiSGIZBcmVaHn9h7bSQdkonGTwyBZz5YcwYGDmSiiuXFrhsU3/DSC+F7c0fKSLLC6mTE5QwGUWGuUXFpVUrGDCAfR+7jh+Hjg9bGsMo0yRTpgtx/qR+WBiALJlFpk/zI4wYQc392lAr9z3o3itsaQyjzJJQmapqozTKkXlk+jQ/QvXq/PzPsex//4Uw+DvYddewJTKMMkkp0BYhUVqUKZB3cB/+btsVbr45bFEMo8xSOrRFGJQGm2kUcy95AF56yRLwGUZIlB5tkW7y89mcX77UrIhv3a0OPPQQnHcebNwYtjiGUeYwZZqI/HyQUvb2nHoqtGxp033DCIFSpi3SyLZtaCma5gPO93TsWHjhBWp+ZTmjDCOdlDJtkUby89FypcA1KpacHHjiCZrfM4gKa/1sYDMMIwhMmSaiFK3mF6BPH1Yccjz7PXhp2JIYRpkhoZ+piMzDbRX1g6rqvsGIlCHk56OlzWYaxa8X3UvHCzvACy+4hHyGYaSUZDugPsK/Ms0+SplrVCz5VXZh9k3P0fHKo+Hgg2Hf7PqtM4xMI9kOqEFplCPzyACbaTK3LD8uW2ubHehW9k8/HT79FKpUCUo0wzBiKL1Dr1RTGl2j4nH55dC4MVx9ddiSGEZWU1jUqJ0QkQOAZkCBIY6qPh2UUBlBfn7pc42Khwg88QR06OB2SJ1xRtgSGUZW4kuZikhN4A2gc6TIO0fbVLNLmW7blh0jU3BBpF95BXr3hvbtYf/9w5bIMLIOv9riTqAO0BWnSE8CjgSeA34DDk6JdGGSATbTQOnQAW67DU4+GdasCVsaw8g6/CrT3jiFOtN7vVhVp6rqQGAKcGUqhAuVbJnmR3PRRXDooTBw4I6EgYZhBIJfbbEn8JuqbgM2AtWjrr0KHBu0YKGTTdP8CCLwf/8Hy5bBrbeGLY1hZBV+tcWfQE3v7wXAIVHXsi8zKbiRaWmItF9UKlWCiRPhySfhv/8NWxrDyBr8ruZ/glOgrwPPAMNFpBGwFTgbeC0VwoVKtrhGxWOPPeDVV+GYY6BpU2jTJmyJDKPU41eZjgT28v6+D7cYdQawC06RXh68aCGTJTbTaOf+7t2jyzqy+4UP0vL442HGDKb+tOdOdQzDKBq+lKmq/gr86v29BbjaO7KXbLSZxrC051m0rPIbHHcc5W//iG1VLX+UYRSXQrWFiFQSkTwROSGIDkVkHxH5j4j8LSKrReRVEWlQjHZuEBEVkU+CkKsA2eYalYibboL27Wl5az9k29awpTGMUkuhylRVN+NsoyXOhSEiuwAfAM1xttYBwH7AhyJSrQjtNAFuApaWVKaE5Oe71e9sRwQefRTZupmmD10BWnZj2xhGSfBrM/0fcCrwbgn7uwBoAjRT1bkAIvIt8AtwEfCAz3YexW0YaEYRt8T6phTaTIuTr8rdU5HyI/5D+yu68Ovg+1h05nWA2U8Noyj4VURvAQ+JyH9wivUPYsLzqeoHPto5AZgZUaTeffNE5FPgRHwoUxE5C+gAnInzcU0NquzYNZv9bKtWg+/ufpP2l3dhS406/HnseWGLZBilCr/KdKJ3Ptk7IkQ0jgJ+DIytgElxyn8ATivsZhGpBfwLuE5V8ySV03DVsjHNj2JT3b355r53aXdVd7btuht0PzVskQyj1OBXmR5JMIGiawMr45TnAbV83H8f8DMwPgBZkqOKljFlCrBhn/357u43aXvtUXBIDTjqqLBFMoxSgV/XqKkB9hlPKReqtUTkcGAg0EHV/yqJiFwIXAjQoEERnAbK4Mg0wtqm7fjh1ldp3/8kmDTJ7ec3DCMpvlZYROQ3L5ZpvGutReQ3n/2txI1OY6lF/BFrNI8BTwCLRaSmFxawAlDee1053k2qOk5VO6pqx7p16/oUkzJnM43l7zZd4OmnoW9f+PLLsMUxjIzH73J1IyCussIFim7os50fcHbTWFoCswu5twUwGKd0I8dhuBirK4GLfcrgjywcmU6dWsQV/6OPhrFj3fmrr1IklWFkB0VxK0o0te4I+E3Q/howSkSaqOpvAN4e/8OAoYXce0ScsgdxC1+XA3PjXC8+ZdRmWoCTT3Y/LH36wNtvu+DShmEUIFmq56uAq7yXCkwWkc0x1aripu0v+uzvceAyYJKI3Oy1exuwCDeNj/TdELd99VZVvRXi221FZBVQIWCbbnQHKWm21HHKKe589NHw1lumUA0jDslGpr8B73t/nw3kAsti6mzCTc//7aczVV0nIkfi3JuewRkl3weGqOraqKqCG3GG5zVvO4F2xlOom3sczbf3vEXHC0yhGkY0yVI9T8LzCfX8OW9V1Xkl7VBVFwKnFFJnPj5Wf1S1e0nlSdK4HxHKFqecws/fQ9vr+0Db16BTp7AlMoyMwa/N9CKgYrwL3p76zV40qewhCxeggmB5t1PQSpVpc9xx8PLLcEQ8U7ZhlD38TqMf9454PEaUvTNrsAWohKv/Kw45zmU7PeMMmDw53WIZRkbiV5keQfxtoOBW6HsEI04GYSPT5HTvDm+8ARdcAM8/H7Y0hhE6fqf5u5M43N0yYI9gxMkgzGZaOAcdBO+/D717w99/w8XBuvoaRmnC78h0KZAoUVAbYEUw4mQQNjL1R6tW8PHHcP/9MGyYeUEYZRa/yvR14BYRaRtdKCJtcEGas89wZjZT/zRpAtOnwzvvwDnnwJYda5ERu2txYq0aRmnCrzIdhtvlNEtEpovIy14M0i+Bv4GbUyVgaNjItGjsvjt88AHk5cGxx8Lq1WFLZBhpxZcyVdXlwEHAXThDYjvvfAdwkHc9uzCbadGpVs2lkN53X+jaFZYsCVsiw0gbvvfmq+oq3Ah1WOrEySBsZLqdeFP0eGXduwMVKsAjj/DbRfewV4dDqHbn66xrksjcvqMdS5FilHaKtF1TRHJE5DgROVtEantlVUSyMCey2UyLjwgLzxrKb+ffxQH/PJI607PPpG4YsfgamYrbT3ovLjpTJVyAkoNwEfInAZ/gApZkDzbNLzFLe57Fhr32pfXwk1m8YA50u9ZG+0bW4ndEeQMu2tOtQCd21jKTgeMClit8bJofCGtaduLLMTPZ/cMXYdAg2FjijOGGkZH4Vabn4wKd3IlbwY9mLrBvoFJlAqZMA2PT7vvw1ehpsH49HHkk/Pln2CIZRuD4Vab1gZkJrm0GqgUjTgZhNtNAya9aDV56CXr1ctGmcnPDFskwAsWvMv0daJ3g2gFAiUPzZRxmMw2ecuVg5Eh44AEXaPqJJ7ZfMsd+o7TjV5m+AgwTkcOiylRE9geuxn+k/dKDTfNTxymnwLRpMGoU+4+6kHKbzY5qlH78KtMRwI/Ax8AvXtkrwHfe67sDlyxsTJmmlubN4fPPqbgmj3ZXHE7lvxaGLZFhlAhfrlGqukFEugNnAb1xi04rcO5Qz6nq1pRJGBZmMy0yfqfpO+pVhxGvsM/L99Phkk7MufFZ6J590RyNskFRdkBtw+VteiZ14mQQZjNNDyIsOuMa1ux/IC1uPws2XgY33ODsq4ZRiijqDqimInKWiFwrImeKSNNUCRY6Ns1PK6vaH8Gssbku8lSfPvDXX2GLZBhFwpcy9baMPgnMAZ4F7gGeA+aIyL9FpHIKZQwHU6ZpZ3Pd+i7yVKdO0KGDCzxtGKUEv9P8UUB/YDhu5f4vXHT9M3GBT9YDV6RCwNAwm2ng+LKpVqgAt90G3brBgAFw/vl81G0YWt59VC0gipGp+J3m9wNGquqdqvqbqq7zznfgtpielToRQ8JspuHSsyd8+SVMn84B/+xBpWW/hy2RYSTFrzKtDHye4NpnuOAn2YVN88OnXj145x3yDjqKjhcdSJ0Zr4ctkWEkxK8ynQIcleDaUcAHwYiTYZgyDZ/y5Vn4j5v4YcQr7Df6Mn4/8RI+fnt92FIZRgH8KtMHgNNFZIyIdBeRFt75EeB0YJSINIkcqRM3jVhiuIzi77aHk/vvr6mw7m8OvOhAZwIwjAzC7wLUR975YmBwVLnEXI9QviRCZQS2AJVxbN21JnNufo7dpzxPyz594Oqr4ZproHzp/7gZpR+/yvSclEqRidgCVCj4WfFf2vMsWl5wmFvtf+stePppaNAg5bIZRjL8biedkGpBMg5bgMpsGjaEDz+Ee++Fjh3hoYegX7+wpTLKMMXasyciu4lIRxHZO2iBMgZTpplP+fJu6+mbb8Lw4dC/v0s1bRghkFCZikhvESkQDUpEbgSW4lyiFojI8yLie49/qcFsphlNJP7p1KkwdW1HPh79FYs35rCpWVu+vfvNpPcYRipINjIdDOwfXSAivYDbceH4hgCPAWcAV6ZKwNAwm2mpIr/KLsy9fDRzbnyG/UZfCuefD6tXhy2WUYZIpkzbA2/ElJ0DbAR6q+rDqnoJTqFm5w4oG5mWOla1P4LcJ751UafatrX9/UbaSKZMdwd+jSnrBXyiqtEZ0d4gZgSbFZgyLbVs26U6jBsHY8eyqd/Z/H7SZXz81rqwxTKynGTKdA1RifJEZD+gDgUT660mG/xKYzGbaemnTx++ePI7yq9bzUHnH0CN7z4NWyIji0mmTH8ETox6fSKgwLsx9Rrjokj5QkT2EZH/iMjfIrJaRF4VkUKdBD3vgXEi8qOIrBeRhSLynIg09tt3kTCbaVawtXotfrzxaX69eBStRpxKk7HXwkbLOWUETzJl+i/gfE/xjQFG4nI+xf68nwR846czEdkFt4+/OXA2MADYD/hQRApLF90PaAU8BBwNDAU6ALkiso+f/ouETfOziuVd+pL7xLdU+XM+tG8PnyeK22MYxSOhS5Oq/k9EhuCyj9bGTe8Hq+7YtO75mR4BXOezvwuAJkAzVZ3rtfEtLinfRbgYAIm4R1WXRReIyKe4NNMX4OKqBocp06xjS826zB7xCrsvfRlOOIEFPc5l/tnD0UqVLU6qUWKSOu2r6kOq2lBVq6tqD1X9Jeb6YlWtqarjfPZ3AjAzoki9NubhRrsnJrzL1VsWp2wBsAyo77N//5jNNHs5/XT45ht2WfQjHS86kOo/5YYtkZEFpDtrWSvg+zjlPwAti9qYiLTAeR3MKaFcBTGbaXazxx78MHIiC/rfSJsbjoVbboHNm8OWyijFpHvnUm1gZZzyPKBWURrydl2NxY1Mn0hS70LgQoAGRQmGYdP8Uo2vnU4iLO15FqvaH8GhEy6Cgw6C8eOdTTVBWxFzQLwyo2wTRj7deIFCi6O1/g84FPiHqsZT0K4z1XGq2lFVO9atW9d/66ZMywyb6+wJkya5kH69e8PIkbBlS9hiGaWMdCvTlbjRaSy1iD9ijYuI3IUbbZ6rqrGuWsFgNtOyhQgMHAhffeVW+g8+GL79NmypjFJEuqf5P+DsprG0BGb7aUBEbsK5RV2hqs8EKNvOmM00a4lnAthRVh+ueZ16b4+neY8eMGQI0vn67dlRDSMR6R6ZvgZ0jk5tIiKNgMO8a0kRkStwgVZuUtWHUySjw6b5ZRcR/jz6HJca5eOP6XBJZ6rNi7duahg7SLcyfRyYD0wSkRNF5ARgErAIFzAFABFpKCJbRWRYVFk/4EHgbeADEekcdRTZE6BQTJka++wDb7/NkuMv4oCrjqDB83fD1q1hS2VkKGmdu6jqOhE5Ere76hncPPp9YIiqro2qKrj9/tHKvo9X3sc7ovkI6B6wsGYzLeO4qb/AcReQ1/Eomt97Lhz2X7fiT4titreDaC+AyDXzDCi9pN0QpKoLgVMKqTOfGIOlqg4CBqVKrjhCxIpglGE21WvIN6Peo/tPj0HXruxzynUsOu2flszP2E4YrlGlA5vmG7GUKwcXXwyff07tz96k/ZWHU3XhT2FLZWQIpkwTYcrUSETjxnxz//ss7XEWHS4/DP71L9i2LWypjJAxZZoIs5kayShXjt9PuowvH5kJr77qjJ1z5xZ6m5G9mDJNhNlMDR9sqN/UrR6dcgp07gwPPwz5+WGLZYSAKdNk2MjU8EP58jBkCJ898Cl/P/YCqzocCb/9FrZURpoxZZoIjRdCwDASs6FBM74aPY0VhxzntqM++qiNUssQpkwTYQtQRnEoX55FZ1wD06Y5f9RevWD+/LClMtKAKdNE2AKUURJatIBPP3XKtGNHePrpsCUyUoxFb0jEFVfw+6emTI2dSR4kJbasAt2HDoVjjoEzzqB5g/f5ZcgYtlXdtdh92g6pzMVGponIyWHrbnXClsLIBtq2hdxctFw5DryoI9Xm+so/aZQyTJkaRjqoVo2frn+KBQNu5oBrerLXpEdtkTPLsGm+YaSQWBPAX73+wermB9Py1jNg8Qfw5JNQvXooshnBYiNTw0gzG/bZn6/GzIDataFTJ/j557BFMgLAlKlhhEB+pSrw2GMwZAh06UKdGa+HLZJRQkyZGkaYXHghTJrE/g8MpuHTt5mTfynGlKlhhM0hhzBr7BfU/vxt6NcPNm4MWyKjGJgyNYwMYHOdPfn6gQ/cPv+ePWHFirBFMoqIKVPDyBC0UubQvXwAABGFSURBVGV47jno0gUOPRR+/TVskYwiYK5RhpFJlCsHd98NDRo4pfrWW0C7sKUyfGAjU8PIRC65xMVG7d2b6j/lhi2N4QMbmRpGSMTb07/T9ZxTqXN5RdoMPYbv73iN1S07p1yWdO79z7aYAzYyNYwMZkWXE/lx6ARa33SCjVAzHFOmhpHh5HU6mp+ufpzWNx4Pv/wStjhGAmyabxilgBVdTmTe38tpftRRLk7qXnuFLZIRgylTw8ggktlR/zz2PJrXWOKS902dCpUrF9pOMltkYTZbo2jYNN8wShM33wx77un29BsZhSlTwyhNiLjcUlOnwrPPhi2NEYVN8w2jFOGm5jXY9Z/P0/by3uRWPoLNdesD8af08ab7yab3hbkrxbs3Ui/ZNb8Ux10qDLeueNjI1DBKIWv3a8/vfS+l2QMXWcT+DMGUqWGUUhb2v5Gqv8+l9hfvhC2KgU3zDaPUohUq8tuFd9Nk7LXkHdgLKJ+SfgrdqZXkut8puN+sr2FP5ZNhI1PDKMUsP+xE8qtUI+fTSWGLUuYxZWoYpRkRFp16FXtPHB22JGUem+YbRilnedeT2e//rmDm87+xca8mgbWbKqf+krRb1M0I6TQLpH1kKiL7iMh/RORvEVktIq+KSAOf91YRkftE5A8R2SAiM0Ska6plNoxMRitUZPmhJ1J32qthi1KmSasyFZFdgA+A5sDZwABgP+BDEanmo4kngAuAYcBxwB/AOyJi0XONMs2KzsdSa9aUsMUo06R7mn8B0ARopqpzAUTkW+AX4CLggUQ3isgBwFnAuar6lFf2EfADcCtwQmpFN4zMZU2Lg6l+37nO51SkwPWw9+EH3b/f1f9411I19U/3NP8EYGZEkQKo6jzgU+BEH/duAV6Kuncr8CLQW0QSR30wjCxnc509kW3bqLBmZdiilFnSrUxbAd/HKf8BaOnj3nmquj7OvZWApiUXzzBKL5ty6lN5+e9hi1FmSbcyrQ3E++nMA2qV4N7IdcMos/x4/VNs3KNh2GKUWcJwjYq3kbigkSd+nSLfKyIXAhd6L9eKyE8JquYAy33IkY2U5WeHsv38ZfnZwd/z+/qFSrcyXUn8EWQt4o86o8kD4rlQ1Yq6XgBVHQeMK0wwEclV1Y6F1ctGyvKzQ9l+/rL87BDs86d7mv8DzvYZS0tgto97G3vuVbH3bgbmFrzFMAwjPaRbmb4GdBaR7ds0RKQRcJh3rbB7KwKnRd1bATgDeFdVNwUtrGEYhl/SrUwfB+YDk0TkRBE5AZgELAIei1QSkYYislVEhkXKVPVrnFvUgyJyvoj0wLlFNQaGByBboaaALKYsPzuU7ecvy88OAT6/aJoDy3pbR/8F9MItHr0PDFHV+VF1GgHzgJGqOiKqvCpwB855vybwDXC9qk5Ni/CGYRgJSLsyNQzDyEbKdAi+kgRdKe2IyN4i8rAXLGa9iKg3I8h6RORUEZkoIgu8gDk/ichdIlI9bNlSjYj0FpEPRORPEdkkIotF5GURKWzTTFYiIm97n/3bS9pWmVWmAQRdKe00BU7HuaRNC1mWdHMNsA24EegDPApcDLwnItn+nagNzAIuA44CbsB52MwUkTLl8S8iZwIHBNagqpbJA7gS94VqGlXWGNgK/DNs+dLw/OWi/j4ftyGiUdhypenZ68YpG+i9B0eGLV8I70cz79mvDluWND5zTeBP4Ezv2W8vaZvZ/iucjJIEXSn1qGp+2DKEhaoui1P8hXeun05ZMoQV3nlLqFKkl3uBH1T1haAaLMvKtCRBV4zso5t3nhOqFGlCRMqLSCUR2Q/nlvgnztUw6xGRLriZyCVBtluW05aUJOiKkUWISH1cTNwpqpobtjxp4jPgQO/vuTjzxtIQ5UkLIlIR9+MxSlUTxekoFmV5ZArFD7piZAkisitu48hW4JyQxUknA4DOOJ/t1bjFt0ZhCpQmrgci/uqBUpZHpiUJumJkASJSBbdNuQnQTVUXhyxS2lDViDnjMxF5C7czcSgwODShUozn9ngTbsG1ckxA+coiUhNYo6rbitN+WR6ZliToilHK8aZ7E4GDgWNU9buQRQoNVV3F/7d37sFWVXUc/3wBX6WWSooOViiINggKogmVD1CRGd9aGaZkZoFU6JTFjDq3DHwlPcaklBrwMTY5CZqolMql9GpmiqKjxYRvLV8XJ+ShxK8/fut4191333P35e5z74G7PjNrztnrtX/77LV/+7d+a521vKu/pS+wvhewLXATbjBVAvh0uWZg/02tvDcr064supLYjAlzSW8GxgEnmNnDPSxSjyJpN3y+9b96WpYasww4IieAK9gj6MLqc73276RhYv4TwFrgItx/eimwAzDczFb3oHjdgqRTw9dxePduKvAG8IaZLe0xwWqMpDn49c4E7swkv7wld/clLQAeA57EfaX7AOcDA4CDzeyfPShejyDJgJlmdlGX6umtyhSKLbqyJRMaUR5Lzezw7pSlO5H0PO2vnt5qcZ0tDUnfw//5tje+d9pLQCNwWW9p91mSMk0kEok6ojf7TBOJRKI0kjJNJBKJEkjKNJFIJEogKdNEIpEogaRME4lEogSSMk0kEokSSMo0kUgkSiAp00QikSiBpEwTiV6OpNMlLQuhWdIr0fHZPS3f5kL6B1QikfgASU3AT8zs1p6WZXMjWaYdIGly2Ao2L6yK8jVU+a/7Zkk9X5OkQeEevC7pqzU6x9mSVkh6L77XUfohkjYEOV7MbhUtaX7UVmbVQL6vR/XPyKTdH6Wdk0l7MsRviGUOq2kNBx6vR/nqnaRMi3MacGgmjI/S54a4RPfwJr5ATTO+5UipSNoDuA5oAo6k9b0GwMz+CswOh3sCV0Xlj8X3GQLfV+oHZcuIb/5YYWx07r74Oq15aR+hZR3f5Wb23yjfUHzH3rKW4itbvrqmN6+031mWxTuZZgnLtm2xS7fVG+Ehu1fSr4ErJO1a8h5GQ4C+wHwze6BKvkvwnW6HAudK+h3wKK6IwZXTZDNbX6JsFZ4GVuHbFo+RJHO/3QHAh6N8Y6Pvh9JiRMXKDmAk3s7L6o2ULV9dkyzTksjrEgfH/rOS1klaLul4SY2SGjP5Rki6Izj/10p6UNJn8+qXNETSIkmrJb0g6ZLQPUPS50Oe4Tny3S1pWXQ8WNKNkp4L51wpaY6kqpsJSpoXlrDLxm/qde0jaUHorq8L3eVbJRV90Vc2RRtRMD+SJkh6KMj0jqSFkobG14gvSwdwX/hN5+XVZWbr8L2jNuLLOM4FrgUGhiyzzeyRorJ1hqCYHgqHOwH7he8V5bQYV+ZDJH0skwZudccciK91Wq/y1TVJmRanr6R+mdDu7yfpKHw192eBU4AfAz/FF+ON843EG83OwNdC3rdwq2sUbVkA3A+cCCzEu49nhbQ7gHeAMzLn2A3vpt4YRe+BW9LTgWPwrvI44K7qP0MxOnFdd+J71U8JcnwfWE+BtilJwAXhsM0LpJ0yE4BFwGrgC+G8w4AH5LuUgi8S/q3w/TzcWrq0vTrN7CH83gIMAiaF7//ALdeq15DTrvJC33aqyOtKjwmf9wDLM3GxssqzTEvxl7Zzjq7KV9+YWQpVAjAZX4U/L9wZ5WsgvIzDcRPwFGHGRIgbGco1RnH34T61raO4viFuYbZ+4CsZ+ZYDf4yOr8eVZJ8objq+++buVa6zH/CZcI4D864pxM0Dns8p39jZ6wL6h/Mdv4n35jzgPVwx3lCwzKPACqBfFDcIeB+3Iitx44Nshxesdzvc1xi3jzEFyh1epX3FobFA+fkh7qVwPBq4Jny/Mtzj1eH45Zy63gaGlfz8lCZfvYfkMy3OSbT1ibYZ4YUPHOwH4auXf9D1N7PHJD0X5dsOOAyYBWzMdG3vpcXCiVmUOX4K755VuBHfffHIUAf4tr73mtlr0bm3xjcROxNfdX7bqI6hdMFC6cR1vQWsBC4P1nOjma0oeI5PApfjW498jgKWqXyrmpHALDPbUIk3s+ckPRhk3lR2wV8OMUPpuKv6d1ypdER7AzGP4C+CrYCx8t0jBgJr8D2P9sZfOmPxdlLxVbaRy8zyduvtKqXJV+8kZVqcp6zKAFSG/njjyRsQ+U/0fWfcWrs4hDZI6mNmG6OotzNZ1tNaEf4F37b3y3iXej9cgZyRKXcZ8E28e9+EP6wDgdsy9W0Kha8ruEMagjy7hJfNVWY2p4NzXI9vfjYL2BGYJmkrM3u/SpmdcL/mazlp/6b9rUyKcF2QA9yyEjBb0mIze7VKudW4UumI3EEhM1sTfOGjccV0ckh6xMzel1QZPBuFv2ArdEsXuiz5JB2M937iPap+bma/kTQMd3fti7uH1uCW7u3Ab/GX2nr82ZtiZivLu8IWkjKtDW/ib+Ndc9J2A14M31fhAxe/AG7IqyijSDvEzEzSTcB0SVNwpboa97XGfBHvGv+oEiFp+wKnWIfvHZRlF9zShE5cV2jYZwb/5whgGnCtpOfN7O68spLOxa3I0eGBXBZk2pcWH1wezbhSGpCTNiCSv1NImgwcGw7/DPwBnyb1UeBXwHFVih8GLClwmqV4lzmPB2mxbs8Pn03gs0wkvQh8HN8wMS7TXZQh3yhgkZmdFkdKOgQ3AKaa2e0hbhDu/weYY2aLQ/w0fIAwVtrl0dN+hnoPtPhMB3eQr4GOfaajaOszbcQflD5F6ify9YX4eWR8mPggl+HW6AvAvJz6mkNDi+NuCOUm511TiJuBj8D2j+L2xn2Xnb6uHLl2DDJ8t530gfgg2yVR3P6hzKQC9f8NHxTsG8V9Ish/dRRXyGcK7E6Lkl6D7z3fB1cGFV/hGVXK74C7hDoKQ6vUcWp0rkqYGKXfnEl7N6cdHUxL17sSzo7ShwG/x6c7PYO7J87CB0GfCfkXA3vVSL65wIWZuH5472RywbZ1EDn+/rJCTSrdkgItyvRU4NM5oV/I10BrZXpUKLcQmIj7JlfiXcz7o3wjccvxT7i1eBg+8j0TuDzK10BBZRriH8Z9vAaMy0m/JTw8U4GjgV+GhtmRMh2MD2YtxkffJ+EvjVdprUw7vC7cz7kE33Z5fKjvFtyqH9XO/bgLn76zVRTXD7eYryxwPyfgL4O7cYvxdLzr+AawR5SvqDK9I1IC50fx+4Tf13CLd0AN2+jutFZGG4GdovSpmfQlOXVMAW5tp/5DgFeAE6K4QXgv4pgoblrctkuW73F84LCi6M8J9+81Ms9Eld9pPvCzmt2HWlW8pQSqj+YbwUJrR/F8CZ8esx5/o58UGsWCTL79cN/O6yHvy+Ehjd/eDXROmZ4X8rca2Y/S+4dzNodwM94Vq6pMQ/yJuAJdCzyBK+NGMiPOHV0X7gaZjyuzNbg/eGn8gObci/eAETlpjwL3FLynE/D5j2txK/d2MpYfBZQp/iKptIOm7O+Md2kr6bfVuJ2ujM71dCZteKbNzswp38byC/GFrT+qWH5dkQ/YJrSfHTLxF+Nd/yK/z4xwzz9Uq3uQFjrpRiQNxBvmTDNrd95iItHdSHoc2B7vYgNcY2ZzJR2HD67tadEMiHbqmA+sMrNvlyzbaOAWMxuciZ8OHG1mEzso/x28dzTezHJn4JRBGoCqEWF60Gx8KtCbwF7AhbgFNrcHRUskWiFpG+BTeC8rOwXrAOCxAop0Bu7aGFct3yYyCu8BZVkENEgaY2ZNQY4hwAEWVr2SdAHuyqmpIoWkTGvJ//AR4mvwke538WlLp1k03zORqAOGAy/lKFLwKXOqVjhYfqfgCmtNDeQbBTyZjTSzFZJOBq6Sry61Ne5S+mGQayBwNe5iWOITRthgZgfVQMbUzU8kejuSvgEcZWan5KQNwWdATMyz/oLlNwlXpM3dKXe9kZRpItHLkXQ9/vfN3GUCJR2Jr02Qtf6exf8aupKWf2jVzPKrd5IyTSQSiRJIq0YlEolECSRlmkgkEiWQlGkikUiUQFKmiUQiUQJJmSYSiUQJJGWaSCQSJZCUaSKRSJRAUqaJRCJRAv8HXxDOjc3mSoYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 50\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:30.986647Z",
     "start_time": "2018-09-05T19:51:30.085704Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "27d3df15fe8e4e01bb00f08ba5e7e3df",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 4.92\n",
      "% sigma 0.9871\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs32.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 32\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:31.955467Z",
     "start_time": "2018-09-05T19:51:30.988306Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b004d93ce08540c5bbd4f749cc3293dc",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 5.03\n",
      "% sigma 1.0039\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs16.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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LVIRbVDUyqkRVJ+G+xPFC8RYZdanq6mh5VHWBunAhuSWUYwvOr2d026NxYaSPEJHGUenzY+qiqutwo6+Iz9BiEZGGQG/cyO3+OG0uiVPtF5yLwWhGeveShC+O917+Fa9gMTyDW0oarKpvRKVfjgsVc62qRiIMRN6nO3FK2Pd0vwTs4t3vwIUmaYnbsDodFwtspBQNl51x2DQ/84h4+A3KN+J6VZ0dUFsREkVFbRz1eg7wHTDQ+yKMxU2Nv1NvOBIACxMor09xzoXb4XyU4k0fb8RNIZvhIgVEsxv+6ID7H03UqGCDxTArTtmSRJEdg/Pt+T8ReQO3BPSp+lyHj0ZEBuKcOL+mUYH3xDnn3hf3ft0iRR1NN/DuQUZujRAZ1P2JGylHfjReFxcV4CmcM/ILUtB3YJgyzTwiEUcTjT5rEz8qaSICj+ioqomiolaKKrNFRLrhNs1OwTkLBlgsInep6tNx2igpiZ7tT+9eG7bGTpqE89w+AzcqzMeZ3rTHKdhqPvuM/F/iOTlORJmiyKrqfBE5FLf22RdvA1JEvsQtH3ziRwgRORnnkPtznBPqaOrhfiSakNzapDQhyYsj8v5M0KLrx5Ew4AemoN9AMWWaefzs3ZvHZoiLZ7877svgl2SjQCXOl9kbxZUZVV0GXCoil+NGPT2Aa4CnRGSZqv63jF00SJC+q3ePLJWchFOaT6vqJdEFReQmL98vK7377iWoU2ZU9Rugt4hUwy1JnABcAbwnIq21mPhI4rz4v4TbrOutqhtiikTeq89U9fBgpS+WiCf9eD86kbQaaZKl1NiaaeYRiUXfI07eUbj/2eSA+lpJ/EBx+8dJKzWqWqiqs9SZvURMqEoaOz0eTSR+GOjDvPs33j1igjQmSdlokkUknYH7Eeou/iOmBoaqblTVT1T1RpxFxI64MCEJEZHdcM8e2cQqEpJGVdcAPwD7RputpYmPvXurOHmRtIVpkqXUmDLNMFT1B9xueXcR2apQxZ0QGYT7oj+foHpJmQE0FZGtIxFv9Ht3WRsWkabibGZjiYwao01yIsc3F5SwmyrEmP149pAHA59ErSlG7ofFKXtCnHYj9pFFfmg8RfRfoDVuDXY7PDOmQBGRg0SkfpysIu9lnLo1cGZpuwNnq+rMJF09hlvGeFxEqsdpq42I7FK0Wpn5GDc67S4iR0b1VxVn/QLwnxT0Gyg2zU8DInIhEFFYkV3Jq2Tb+fxnVTU6BO4A3HHSMSLyGrAUNxXdBxiiwZ1+egQ32n1fRF7BreMdS/wNppLSDviviEwDZuOeoSluJ/xvnF1ohMiPekmNs2cBR4vIZ7jRehNcMLq1uClwhDE4hXqTiLTBjcDaAMfgFOPJ0Y2q6lpvPbKLiDyLC8OswBPeevFlONOve711yEm4ne42OPvbnUv4HMVxFm655GNgLrAON3vogQs8926SulfiNs2+B9rH2xVX1cHen08Ah+KCH3YVkY+AP3Cbc/vhPruH4P6XSRGRYUDkByDyo/q4iESsOK5X1eVe/wUich4wERgnIm/hTKS6e/1OAJ4rrs/QCds2qyJcuA0PTXL1j1OnNc6eMR838vgKOLeE/S6geJvDs3DKbhPOhvVOnHF4QjvTBO1sl4czur4Pt767FNiAMxEaBbSKqXui199dJXg29frM9d6nFTgl8yHQPk75vXCKcxmwBmdZ0BO3mVPkf4BTAONwa3aR/1NuVH493A77Tzj7y79whvnXRpXJJYG9arK8OGU74na0Z3vyRCKW3k0xdqZss2tOeCX4THzsvacbcT9E44BLgR1K8NlL1m9unDr7ef+jfK/fH4DbiGMjnYmXRSc1QkdE/oWzcWyi3mjFMMobtmZqZAKHA8+YIjXKMzYyNQzDCAAbmRqGYQSAKVPDMIwAqFCmUfXr19fc3NywxTAMoxwxY8aM5aqa6LTdViqUMs3NzWX69Olhi2EYRjlCRHydvrJpvmEYRgCYMjUMwwgAU6aGYRgBYMrUMAwjAEyZGoZhBIApU8MwjACoUKZRhhEUGzduJD8/nzVr1lBQUFB8BSPjyMnJoX79+tSpU9L4lPExZWoYJWTjxo0sWrSIevXqkZubS9WqVYkTgM7IYFSV9evXs2TJEqpVq0b16kV8YZcYm+aXBHMKYwD5+fnUq1eP+vXrk5OTY4q0HCIi1KxZk/r167NsWTAxJ02Z+uXddyEnB54PKmKIUV5Zs2YNtWsHEnPQCJlatWqxYUNsbMHSYcrUL/fdB0OHwo03wurVxZc3spaCggKqVq0athhGAFSpUoUtW0oaLSc+pkz9sHYtfPUVXHcddOkCr70WtkRGyNjUPjsI8v9oytQP33wDbdq4af7ZZ8Mrr4QtkWEYGYYpUz98+y20a+f+PvZY+PprCGjR2jCM7MCUqR8WLYImTdzf1arBkUfC+PHhymQYATJy5EhEBBHhp59+KpKfl5e3NX/ChAlb0wcPHrw1XUSoW7cuBx98MK/4mL2tW7eOc845h1122QUR4ZprrtnaT15e3tZyw4cPZ/To0YE8ZyoxZeqHxYuhceNtr485Bj74IDx5DCNF1KpVixdffLFI+gsvvECtWrUS1vv000+ZOnUqr7zyCnvssQdnnXUWzz2XPNT9iBEjePXVVxk2bBhTp07l2muv5YADDmDq1KkccMABW8uZMs0mFi3aXpn27AnjxkFhYXgyGUYKOOWUU3jppZeIDrS5fv163nrrLU499dSE9Tp27EinTp047rjjePPNN2nevDnDhw9P2tf333/P7rvvTr9+/ejUqRNNmjShdu3adOrUqVyanpky9cPixdCo0bbXTZtCrVowe3Z4MhlGCjjnnHNYuHAhn3766da0//73vxQUFCRVptFUqVKF/fffn7lz5yYsIyKMHDmSxYsXb10iyMvLKzLNz83NZeHChbz88stby/Xv378sj5gyTJn6Yfly2GWX7dO6dIHJk8ORxzBSRJMmTejcufN2U/0XXniBk08+mR133NF3O/Pnz6du3boJ86dOnUrPnj1p2LAhU6dOLTK1j/Df//6Xhg0b0rNnz63lbr/99pI9VJqws/nFsXkz/P03eV/VBoGuXb30zp1h7Fi4/PIwpTMyjUywPy3jsed+/fpx3XXX8eijj7JixQomTJjA+++/n7ROxNlLfn4+TzzxBNOnT+fqq69OWL5Tp07Ur1+fatWq0alTp4Tl9t9/f6pVq0b9+vWTlssETJkWx4oVUK9e0S9Jly5w003ug5sJXyAjM8gC/w19+vThiiuuYMyYMSxcuJCGDRvSvXt3JieZiUU7CsnJyeGaa67h3nvvTYe4GYMp0+LIz4eddiqa3qSJM+L/6Sdo0SL9chlGiqhVqxa9e/fmxRdfZMGCBZx11llUqpR8RXDatGlUrlyZevXq0bhx4wp53NaUaXHk58POOxdNF9m2bmrK1Mgy+vXrR69evSgsLOTVV18ttvyBBx5IlSoVW51U7Kf3Q6KRKThlmpcHF12UVpEMI9X06NGD0047jbp169KmTZtQZalWrRrr168PVQY/mDItjvx8t2Yaj86dYcgQWzc1so7KlSv7GpGmg9atW/PJJ5/w7rvv0rBhQ+rXr09ubm7YYhXBTKOKY80aSGRAvPfesGUL015fSF6eG6QahhEs9957Ly1atOC0007joIMOYvDgwWGLFBfRLNh99EuHDh10+vTpJat0//3w11/kHfcvIMo0KkLfvnzfrBd/9uwXP9/IOr7//ntatWoVthhGQBT3/xSRGaraobh20j4yFZE9ReQ/IrJKRFaLyGgRaVx8TRCRxiIySkQWicjfIvKTiNwlIjukTOB16yCZsXLnztSdZcb7hlHRSasyFZGawEdAS+Bc4Bxgb+Dj4hSilz8B6AzcDvQCngWuA5J7VCgL69bBDklE69yZOqZMDaPCk+4NqIuAZkALVZ0LICKzgJ+BS4CHktQ9DKd4e6rqh17axyKyE3C9iNRU1b8Dl3jt2uTKtE0bqq7+i5y/fmfTzrsF3r1hGOWDdE/zTwSmRRQpgKrOBz4DTiqmbo53jw3AtBL3HKnZTi9uZFqpEqv2PZw6sz5JSfeGYZQP0q1M2wDfxUmfDbQupu4E3Aj2fhFpLSI7ikg34GrgSVVdF6yoHjHKNLJrH71zv7KdrZsaRkUn3cp0J2BFnPR8IIExp0NVNwCH42SeDawBJgLvAlcEK2YUa9cm34ACVu1n66aGUdEJw2g/ni1WsVN0EakOvA7sgtu4WgQcDAwCtgCXJqh3MXAxQOPGvowGticyMt2cuMjavfen+h8LqLI6H/d7YRhGRSPdI9MVxNc29Yg/Yo3mAqArcJyqvqSqk1V1GG43f4CItItXSVWfVtUOqtqhQYMGJZe4uDVTQCtXYXXrQ6jz7adJyxmGkb2kW5nOxq2bxtIamFNM3bbAClWdF5P+hXdPjRV1cbv5HrZuahgVm3Qr03eATiLSLJIgIrk4s6d3iqn7B1BPRJrHpHf07r8GJOP2rF8PNWsWW8zWTQ2jYpNuZfoMsAB4W0ROEpETgbeBxcBTkUIi0kREtojIoKi6I3GbTu+JyLkicqSI3AAMA2bgzKuCZ+NGF965GNa0PIgdFsxxZ/kNw6hwpHUDSlXXeeZMDwMv4jaeJgLXqOraqKICVCZK2avqAhHpBAwG7gLq45Tw08DdqpqaUKE+lWlhTnXW7HMgdadOhaOPTokoRuYTtrObbPMNceWVV7JgwQLGjBmzNW3+/Pk0a9aMBg0acO+993LBBRcUqffwww/z/PPPM3PmzGIdWwdF2s/mq+oiVT1VVWurai1V7a2qC2LKLFBVUdXBMelzVPU0Vd1TVWuo6j6qer2qFrd5VXp8KlNw66YWZM8wgmHevHk89dRT3HHHHdul169fn/Hjx1OvXj0GDRoUt+6AAQNYunQpo0aNSoeogLngS05hIRQUgM8QDKv2M2VqGEExfPhw2rVrR4cO2ztsqlWrFkcddRQXXHABv/32G0uXLi1St0aNGvTr149hw4alS1xTpknZuNHFefLp+Hl1m0Pgq69gw4YUC2YYqWPLli0MGzaMZs2akZOTQ4MGDdLuQ3Tjxo289NJLnHnmmQnLtPDCBX3zzTdx808//XTmzJnDlClTUiJjLKZMk1GCKT5AQY0doU0b+OKL4gsbRgayefNmTjjhBIYPH87NN9/MO++8Q9euXRkyZAivv/562uSYNm0aK1eu5Igjjoibr6o89JDzizRr1qy4Zdq3b0/t2rX54IMPUiZnNBa2JBnFKNO4mw2dval+584pE8swUsWDDz7IlClT+Pbbb7eeGOzevTvjxo3j7bffpm/fvmmRY9q0aYgI++23X9z8xx9/nKlTp7LDDjskHJlWqlSJ/fbbj2nTpqVS1G39paWX8koJR6aAU6Jhb+kaRikoLCzkoYce4vLLL9/u6HXVqlVp0qQJa9euTVI7WH777Tdq165NTk5OkbwFCxZw8803c+utt9KxY8eEI1OABg0a8Ntvv6VS1K2YMk1GaZRply7w+efO2N8wyhFffPEFy5Yto1evXtulqyq//fYbTZs2TZssGzZsoFqC795FF11E8+bNueWWW2jfvj3ff/89mzfHd55Ro0aNtEU2NWWajNIo09q1oV07+MT8mxrli8h0uFGjRtulT5kyhfz8fHr37g3AmjVruOKKKzj00ENp1aoVAwYMoLDQmXkPGjSI008/nRNOOIFmzZrRu3dvZs6cyfHHH0+zZs0455xzABgyZAg9evTgiCOOoHXr1hxxxBEsX758a58777wzK1YUtXh8+umnmTRpEiNHjqRq1aq0b9+eTZs28cMPP8R9pvz8fOrXr1/2N8cHpkyTURplCtCjB0yYELw8hpFCZsyYATj7zgiFhYUMHDiQ/fbbjy5dugBwxhlncOyxxzJlyhTmzJnDwoULee+997a28ffff/PGG2/www8/MGXKFB555BHeeust5syZw5gxY/j999+ZPn0669ev591332XOnDnsuuuuPP3001v7bdmyJZs3b2bJkiVb05YsWcINN9zAbbfdRrt2zq9R+/btgcSbUPPnz9+6659qbAMqGWVRppdfHrw8hpFCZsyYQaNGjbjsssu4++67EREee+wxvv76az7//HMqVaoIVwasAAAgAElEQVTEpEmT+PTTT1myZAm33norAKtXryYS5XjGjBnk5eVRo0YNwJlZDR06lGrVqlFQUMCWLVuoXbs206dPZ8yYMdSpUweAtm3bbjcy7ext4H7xxRdbR8oXX3wxe+21FwMHDtxarlWrVlSrVo1vvvmGs846a7vnWblyJT/99BPXX399it6x7TFlmozSKtODDoL582HpUthll+DlMoyAWbduHT/++CMjRoxgwYIFXHLJJaxfv54uXbowdepUWrd2gTCmT5/O+eefv9UsKZolS5ZQWFhIy5YtATcqrFu3LnvuuSfgQio3btyYFStWkJ+fzwEHHLC17rRp07YuAQDk5uZy8MEHM2bMGE455RRGjhzJhAkT+PLLL6kadYimSpUq7LvvvnFHpmPHjiUnJ4eTTz45mDepGEyZJqO0yrRqVbcRNXEinHFG8HIZGUt5PRv/9ddfU1hYyEEHHcSAAQO477774pZr1KgRo0aNYu3atey4445s3LiRn3/+mX333ZcZM2Zsd1rpyy+/3O51JP/LL79k06ZNzJ07l3322Ye33nqLX3/9lT59+mzX16WXXsrVV1/NiBEj6N+/P/37948r0/Tp0+Omv/TSS/Tp04edd965hO9G6fC1Zioin4nIOSJSCs1SjimtMgU31R8/Plh5DCNFzJgxg5ycHNq2bZu0XJ8+fejatSvt27enffv2HHHEEcydO3drG9HKc/r06XGV6fTp07nqqqu47LLLaNu2LaNGjeKDDz7YbsQJcM4557DHHnvw+OOPl/h5Zs6cyccff1zkXH8q8Tsy3QyMAoaLyCjgaVWNv32WTZRVmd5/P6j6Po5qGGExY8YM9t1337h2ndFUqlSJRx99lEcffbRI3tChQ7d7/a9//Wu715E6Rx99NNdffz2PPPJI0r4qV67Mc889x1dffeXnEbbjjz/+4Pnnn6d581j3x6nDlzJV1a4i0gIX274fcLWIfAI8AYxW1SQRksoxZVGm++zjlOiPP4K3hmQYmcoLL7yQtr6++uqrIs5LEtGpUyc6depU4j6OOeaYEtcpK75No1T1R1X9J7AH0B/nb/QVYImI3BftPT9rKIsyFYGePSFN54INo7ywfPlydtop+wJPltjOVFU3quqLuHj1nwANgBuBn0TkTRFpGLCM4bFli2/3e3Hp1QvGjg1OHsMwMpYSKVMRqSEi54vIF8CXOEV6NbA7LtTyocDLgUsZFlu2QJUyGDwcdRRMmwarVwcnk2EYGYnf3fy2IvJv4DfgSWAhcJSqtlHVx1T1D1V9BhiAC46XHWzeXDZluuOOcNhhtqtvGBUAvyPTb4DewHCgiar2UdWP45SbC0wNSrjQKevIFNxU/913g5HHMIyMxa+m6AP8T1ULkhVS1e+BI8ssVaZQ1jVTcMr0rrtcCJQ0BfYyDCP9+P129wIax8vwwjI/F5xIGUQQI9NmzWDnnSHBKQ2jfBI5i26Ub4L8P/pVpufiNpviUd/Lzz6CUKYAxx9vU/0sIicnJ20+Mo3Usn79+iInr0qLX2UqQCIV3hDIzk9WkMo0Ku63Ub6pX78+S5YsIT8/n82bN9sotRyiqvz999/8+uuv7BKQM6KEmkJETgai3a0MEZHlMcVqAEcAMwKRJtMo625+hEMPhV9/hV9+cdN+o1xTp04dqlWrxrJly/jrr7/YsmVL2CIZpaBq1arsuuuu1K5dO5D2kmmKxjhFCW5U2h7YGFNmIzAFGEg2EtTItEoV6N2beQ+MZnFf51uxvHoXMhzVq1ff6lrOMCDJNF9VH1HVpqraFFgEHBt5HXW1VNVTVPXH9ImcRoLYzY9w6qk0mPSfYNoyDCPj8LVm6inO+PFUs5lSjEzz8hIEJz3ySGos+Ylqy5bEyTQMo7yTbM20M/CVqq71/k6Kqk4OVLJMIKhpPkBODn8deiL1J4/m11OvCqZNwzAyhmSaIg/oBHzh/Z1oyzKy0185SMEygiCVKbCs86ns+fowU6aGkYUk0xRHAnOi/q54BLWb77GiQw9a3XMOOfl/4CzKDMPIFhJqClWdFO/vCkWQG1BAYU51/up4HPUnj4ZTLgusXcMwwsev16hKIlIlJq2niFwnIvunRrQMIOBpPsDS7mew68RXAm3TMIzw8aspXsXZlPYDEJEBQCTK1WYR6aWqE1IgX6gs+2MLf/5QheV5Ja8bvaMfbVOaf1BPWvzrfBcKumnTMkpoGEam4Pc4aSfgvajXNwDPAnWA0cCtAcuVEUjBFrRysCNTrZrDsi594BUbnRpGNuFXme4C/AogIs2BpsC/VXUN8DyQPD5sOSUVyhTgzx5nw0svucilhmFkBX6V6WpgZ+/vrsByVZ3lvS4AqgcsV0ZQacvmQJRprCH/6jaHsH7VRqY/83WZ2zYMIzPwq0ynADeLyPHANWw/5W8OZOWxHinYglYJbjd/W8PCn0edxa4TsidclmFUdPwq0xuBnYB3cKPQwVF5fSlBqBIR2VNE/iMiq0RktYiMFpG4jqcT1G/lRUFdLiLrReRHEbnab/2SkKppPsDSo85il49ehYKkwQsMwygn+NIUqvozsI+I7Kyqf8VkXw384acdEakJfISzDDgXd3LqLuBjEdlPVdcVU7+DVz8PuBBYBewN7Oin/5KSSmX6d+OWbNylMdXGjYPjjktJH4ZhpI8SaYo4ihRV/bYETVwENANaqOpcABGZBfwMXAI8lKiiiFQCRgETVTXaz2q8wH6BkEplCvB7rwup/cwzpkwNIwvwrSlEpBlwGs7PaeyGk6rqBT6aORGYFlGkXsX5IvIZcBJJlClu46s1Lpx0Wki1Ml16ZF9aPHsD/PEHNLTjpYZRnvGlKUTkJOBN3BrrUoo6ifZr49MGeDtO+mxcBNRkHO7dq4vINOBAYAXwGnCTqgYeOkUC2s1PREHNWvCPf8CoUXDTTSnrxzCM1ON3A+ou3Drlbqq6exwn0X5jceyEU4Cx5AP1iqm7u3d/HfgQ6AH8C7d2mtACXkQuFpHpIjJ92bJlPsX06hYWpFSZAnDhhfDss2ZzahjlHL/KtBkwTFVLpo3iE09riI96EVlfUtVBqpqnqsOAIUBvEWkdtzPVp1W1g6p2aNAgUYDVRJIWopLiWPcHHwzVq8OkiulLxjCyBb+a4ge2Ge2XhRW40Wks9Yg/Yo0msvk1Pib9Q+/evgxyxUUKC6BSipWpCFx0ETz9dGr7MQwjpZTEzvQWbxOqLMzGrZvG0pptvlOT1YWiI9vIqLawDHLFp7AQrZQGn9f9+sEHH7iNKMMwyiV+lelg3Mj0exH5TkQmx1x+56jvAJ2ilbKI5AKHeXnJeB+38XVMTHpP7z7dpwy+kXRM8wHq1oW+feGpp1Lfl2EYKcGvpigAfsQdK13mvY6+/I4KnwEWAG+LyEkiciJud38xsFWTiEgTEdkiIoMiaZ6N673AABG5R0SOEpGbgUHAqGhzq6CQgjRM8yNceSU8+SRs2pSe/gzDCBS/J6C6BtGZqq4TkW7Aw8CLuCn6ROAaVV0bVVRwMaViNdlQYA1wGXA98DvwAHBnEPIVFThN03yA1q2hTRt4800466z09GkYRmCk2O6nKKq6CDi1mDILiLPDr6qKM+xPZtwfGFJYmL6RKcBVV8E995gyNYxyiG9NISJ7iMhDns3mfBHZ10u/RkQ6pk7EECksSM+aaYReveDPP+Hzz9PXp2EYgeA3BlQb4FvgHOA33JHSHC+7Cc7ZSdYh6ZzmA1Su7NZOH0rLwNswjADxO+x6EPge52H/FLafgk/BhTXJPtI9zQdnc/rRRzA38P00wzBSiF9NcThwn7dJFGvn+SdZGgRe0jDNj/XCT61aMGAADBuW0n4NwwgWv5oimelTfSBwJyOZgBQWuql3urnqKnjjDfj99/T3bRhGqfCrTL8AzkuQdxrwWTDiZBjp3oCK0KCB29F/5JH0920YRqnwqynuBE4QkQ9xm1AKHCUio4CTgbtTJF+opH0DKprrroNnnoFVq8Lp3zCMEuFLmarqJKA3bgPqOdwG1H3AEUBvVc1OW54wNqAi5OY6D/z//nc4/RuGUSJ8awpVHauqewP74DakWqlqM1V9P2XShUw6NqCSctttMHy4jU4NoxxQYk2hqnNVdYqq/pgKgTIGVUQ1bSPTyK5+9M5+3u8t+OOA45h/zfC0yGAYRukpVlOIyO4iMkREJojIbM9r1HgRGSQiWWkSBYAqKuL8jYbIgn6DaDT6McjPD1UOwzCSk1SZerGffgJuB1riQiuvAVrh3PL9LCK9UixjOBQUQJhTfI8Ne+zF8sN726kow8hwEmoLEWkCvATMBNqraiNVPVRVD1HVRsABwCzgVRHZMz3ippHCQjQMG1OKTvcXnnMbPPEELF8eijyGYRRPsqHXAJzv0qNVdVZspqrOxDlmXk4awy+njcI0OYb2wYaGuc559D33hC2KYRgJSKYtjgSeUdW/ExXwjpc+AxwVtGChk07H0H4YNMiFhP7ll7AlMQwjDsm0RXPgKx9tfOWVzS7SFf/JLw0bwrXXwsCBYUtiGEYckinTOsBKH22sAmoHI04GUViYERtQ2/HPf8Jnn8G0aWFLYhhGDMm0RWX8xXbSYtopnxQUoJk0zQeoWRPuvBOuvx401nmXYRhhUlzYkiEiUtwWcv2ghMkoMm2aH6FfP3cqavRoODVp9BfDMNJIMmW6CGdP6odFAciSWYR5Lj8ZlSvDww/DBRfAsce60aphGKGTUJmqam4a5cg8CkI+l5+Mbt3g4IPhvvtg6NCwpTEMg2xc6wyKwkLIwGl+xKB/6j8ehMcft/AmhpEhmDJNRCZuQEWxsUEjuOkm55XfNqMMI3QyV1uETaZuQEVz9dWwYAG8807YkhhGhae43fyKS6ZuQEWRNyWHuhf+m5aXnM+XVbtRULMWXbuGLZVhVEwyW1uESSZvQEWx8oBurNi/G02fvSVsUQyjQpP52iIsMnQDKh7zLnuQBp+Mps63n4YtimFUWEyZJqKwMKM3oKLZUqseP1/5GC0euBA2bAhbHMOokCRcMxWR+bijon5QVd0rGJEyhAxxDu2X5Z1PYdeJr1Bz6FBz1WcYIZBsA2oS/pVp9lEedvNj+Pnqf9NgwH7umOmBB4YtjmFUKJKdgOqfRjkyjwyb5kd73k/Epp0awiOPwNlnM/nhGRRWd0dNbYffMFJP5miLTKOcTfO3csYZcMAB7PXUjWFLYhgVihLZmYpIO6AFUD02T1VfCEqojCDEGFBlZsQIdm7Zjr869SK/47FhS2MYFQJfylRE6gJjgU6RJO8evaaadcq0XI5MAerW5YebRtLqnrOZ/sxMoEHYEhlG1uNXW9wD7Ax0xinSk4FuwMvAL8DBKZEuTDL8bH5xrNz/SP7sfiYthl1kZ/cNIw341RY9cQo1Ei9jiarmqWo/YAJwdSqECxVVtg3Ayyfzz7+LasuWwKOPhi2KYWQ9fpXpbsAvqloAbABqReWNBnoFLVjoqIKUb2WqOdWYfccbcPfd8PnnYYtjGFmNX2X6B1DX+3shcEhUXokik4rIniLyHxFZJSKrRWS0iDQuSRteOwNFREUkNWcoVdFyrkwBNuzeDJ56Cvr2hfz8sMUxjKzF727+pzgF+i7wInCHiOQCW4BzAV8+4ESkJvARsNGrp8BdwMcisp+qrvPZTjPgVmCpT/lLThaMTLdy8skweTKcey68/TZ5k7f9hpoNqmEEg19lOgTY3fv7AdxmVF+gJk6RXumznYuAZkALVZ0LICKzgJ+BS4CHfLbzBG7zqwWpciOYBWum23H//dC5MwwbBgebDaphBI2vab6qzlPVT7y/N6vqdaraSFV3UtUzVfUvn/2dCEyLKFKvvfnAZ8BJfhoQkTOBA4CBPvssHdk0MgXIyYE33oCHH6beF+PClsYwso5ilamI5IhIvoicGEB/bYDv4qTPBlr7kKUe8DBwo6qmdgGwnK6ZRmJExc37pTFfD3yDVvf1o8aSn+PW83Ns1TCMohSrTFV1E25tNAjfbjsBK+Kk5wP1fNR/APgJGOm3QxG5WESmi8j0ZcuW+a2WfSNTj1X7HcH8/kPZ97aTqLxuddjiGEbW4Hc3/3/APwLqM54FebFaS0SOAPoBl6r6t0JX1adVtYOqdmjQoAQngbJtzTSK30+8hJXtutDqnrPdSS/DMMqMX2X6PnCsZ9J0toh0F5Fu0ZfPdlbgRqex1CP+iDWap4D/A5aISF3viGsVoLL3uppPGfyRpSPTCHOveIQqa1fC7beHLYphZAV+d8Lf8u6neFeEyPBNAT9eQWbj1k1jaQ3MKaZuK+8aECdvBXAtMNyHDP4op2umftGqOcwe8haHXX8I7LUXNDs/bJEMo1zjV5l2IxhH0e8Aw0Skmar+AuDZqx4G3FxM3SPjpA3HKfErgblx8ktPlo9MATbXbQDvvQedO1PvukasOOjosEUyjHKLL2WqqnkB9fcMcAXwtojchlPQdwKLcdN4AESkCTAPGKqqQxPJICIrgSoByreNLF4z3Y599oH//IdWJ5zCNw+MZ13zdmFLZBjlEl9rpiLyi+fLNF7eviLyi592vBNO3XA78i/iDO/nA91UdW10s7gRZ3humyrAyHQrhx/Oz1c+RttbjneOUQzDKDF+p/m5QKINnupAE78dquoi4NRiyizAx7BQVbv67bfEZPmaaSzLuvWl+p8LaXvzcXDUJKjnx1LNMIwIJTmKmWjNtAOwMgBZMossGpn6NcRffPoN5OT/zo69esH48eR9ucPWvGRn+KPbt7P+RkUl4TRaRK4VkUUisginSMdEXkddy4ARwAfpEjhtVJQ102hEmHfpg9CiBZxyCrJpY9gSGUa5Idma5C/ARO8SYHrU68j1Fs4k6aLUihkCWTQyLRGVKsEzz8AOO9DqnnNcYEHDMIolWajnt4G3AcQplaGeU5KKQQVbM40m79MqVBrwCm0HHk+Lhy7hx+ufIS/PvRc2jTeM+PjdLb+EBL5DRWQHEakanEgZQkUdmXoU5lTnu7v+xw7zv6P5iGstjpRhFINfZfqMd8XjKaJsRLOGirhmGkNBjR2Zdf/71P7uM/Z6/J+mUA0jCX6V6ZF4U/44vAN0D0acDKKCj0wjbKlVj1kPfEjdWZ+w1+PXmUI1jAT4Vaa7kDhEyDJg12DEySAq8JppLFtq1eObYeOpO2syXH+9KVTDiINfZboUaJsgry3g19N++cFGptsRUahMmgQ33GAK1TBi8KtM3wVuF5H9ohNFpC0usN2YoAULHVszLcKWWvVg/HhnpX/VVeYL1TCi8KtMB+FOOc0QkSki8oaIfAZ8BawCbkuVgKFhI9P41KsHEyfCzJlw3nmwZUvYEhlGRuA3oN5y4CDgXtxwrb13vxs4yMvPLmzNNDF16sC4cfDnn3DaaXZSyjAogVcmVV2pqoNU9RBV3UdVD1XVwaq6KpUChoZN8+OyNfDeFzXh7behUiXa3noCldavC1s0wwiVErm4E5H6InK8iJwrIjt5adVFJDxXeanCpvnFU60avPYaG+vvQbsbjnZhUAyjguLXn6mIyAPAEpxd6XM4t3zg7E9vTYl0YWLK1B9VqvDjDf/HmpYHsf+Vh8PixWFLZBih4HdEORDnIX8o0JHt579jgOMDlit8KsiaaWTaXiYqVWLu5Q/zR89z4bDD4NtvA5DMMMoXfpXphThHJ/fgdvCjmQvsFahUmYCtmZYMERaffgPcdx907w4ffxy2RIaRVvwq0z2AaQnyNgE7JMgrv9g0v3SceSa8/jr07Quvvhq2NIaRNvx62v8V2BeIN9xoh4vjlF2YMi0VeXmAHEnXiROhVy/mTVrC4r7Xb/demhs/IxvxOzJ9ExgkIodFpamI7ANcB7wWuGRhU0HWTFNG27YwZQq7jn+JfR68GNm8KWyJDCOl+FWmg4EfgMnAz17am8C33uv7ApcsbGzNtOw0asTXj31KzoqlznRqVfa5cDCMCH5PQK0HugL9gSnABOBL4GKgh6pm37DDpvllImIlUFCzFt8NHc3qVh058LKO1Fz4fdiiGUZK8B2dVFULcLHuX0ydOBmEKdPgqFyZXy65n7+btKL9NV2g4YvQs2fYUhlGoJQk1DMi0hw4GLe7vwT4UlXnpkKw0LE108D545j+rN+jOfv37wMDB8KVV9oPlpE1+FKmIlIdeBw4B6gclVUgIqOAy1U1u7xd2JppSljV9nCmPTSFfW89kTXvf81u/30CqlcPWyzDKDN+N6CGAWcBdwDNgVrefTBOwT6QCuFCxab5KWPDbk35esRUKm/4Gw4/HBYtClskwygzfpXp6cAQVb1HVX9R1XXe/W7cEdMzUydiSJgyTSkFNXZkzqDX4PTToWNHOzFllHv8KtNqwBcJ8j4HcoIRJ4OwNdPUI+JiSr30EptOPYO5lz1E3scWDsUon/hVphOAoxPkHQ18FIw4GYStmaaP7t2Z8fjn7DrhZVrddSasM9+oRvnDrzJ9CDhNREaISFcRaeXdHwdOA4aJSLPIlTpx04hN89PKxoZN+PqxT9Gq1eCQQ+DHH8MWyTBKhF/TqEne/VJgQFS6xORHqEx5x5Rp2imsVoMfbnqehj897TamHnvMrakaRjnArzI9L6VSZCK2ZhoOInDJJXDwwdCnD0yeDA89ZOZTRsbjS5mq6qhUC5Jx2JppuOy/P8yYARdeCIceCm++CXtln9tcI3soVewmEakjIh1EpFHQAmUMNs0Pja3e/+vUgTfecCGlDzkERo8OWTLDSExCZSoiPUWkiDcoEbkFWIoziVooIq+ISImOpZYLTJlmBiLu2OnYsc6M6pprYFP2+dUxyj/JRqYDgH2iE0SkB3AXzh3fNcBTQF/g6lQJGBq2ZppZHHSQm/bPn+82p+bNC1siw9iOZMp0f2BsTNp5wAagp6o+pqqX4RRqdp6AsjXTzKJePfKu+R8/dzybTQd2gpdfDlsiw9hKMmW6CxD7898D+FRV/4hKG0vMCDYZIrKniPxHRFaJyGoRGS0ijX3U6yAiT4vIDyLyt4gsEpGXRaSp375LhE3zMxMRfj31KmYNGw933gnnngtr1oQtlWEkVaZriAqUJyJ7AztTNLDeanzalYpITdxpqZbAuTgnKXsDH4tIcUH5TgfaAI8CxwI3AwcA00VkTz/9lwhTphnN2ubt3bS/alU44AD3t2GESLKNox+Ak9g21T8JUODDmHJNgT999ncR0AxoEfGDKiKzcKFPLsGdtErE/aq6LDpBRD7DBfO7CBjkUwZ/2Jpp6OTlFZP/5Q5w9rM02P119j7qWHJuuwmuvRYqlcpIxTDKRLJP3cPAhd6UfAQwBBfz6bOYcicD3/js70RgWrRDaVWd77V5UrKKsYrUS1sILMM5qw4WWzMtNyzr1pevHv8c/vMfOO44+NPvb7thBEdCZaqq/8Pt2B8E9MNN7/uo6la3Pp6d6ZHAez77awN8Fyd9NtDaZxtbEZFWuLXd4AML2TS/WLbag4bcBjgfqUyeDAce6Az+x41LWV+GEY+k9qGq+ihujTJR/hKgbgn62wlYESc9H6hXgnbwbFufxI1M/y9JuYtxgf9o3LjYfa5tmDItf1StCnffDd27Q79+cMYZ7nVO9nmINDKPMBaX4jmsLI3W+jdwKHC2qsZT0K4z1adVtYOqdmjQoIH/1m3NtPzSrRvMnAk//OCOov78c/F1DKOMpPvk0grc6DSWesQfscZFRO7FjTbPVdXYDbFgsDXTcsf2U/j68M932ON/I8jtcAhzL30QevbzNduItNO1a/AyGtlLukems3HrprG0Bub4aUBEbsWZRV2tqqkLO23T/PKPCL+efAUzH/qIxq/dT6u7zqLy2lVhS2VkKelWpu8AnaIdSItILnCYl5cUEbkKd5z1VlV9LEUyOkyZZg3r9tqPGU9Op2CH2nS4eH+YFmsqbRhlJ93K9BlgAfC2iJwkIicCbwOLccdSARCRJiKyRUQGRaWdDgwHPgA+EpFOUVeJLQGKxdZMs4rC6jX56Z9PMm/AMDjxRLjnHigoCFssI4tIqzJV1XVAN+An4EXgZZzRfTdVXRtVVHCnqqLlO8ZLPwaYGnM9ngJhsTXT7GN551Pcaalx46BHD/j117BFMrKEtO/mq+oiVT1VVWurai1V7a2qC2LKLFBVUdXBUWn9vbR4V9cUCGrT/Gxlzz3ho4/gyCOdXeo7xa4wGUaxZJ8f0qAwZZq1uN36ynDE7XTt1g3OOgs+/BAeeABq1AhZOqO8YoeYE2FrphWDww5zNqnLlrm4U7Nnhy2RUU4xZZoIWzOtONStC6+95pykdO3K7u886f3/DcM/Ns1PhE3zKxYicP75cOih7HbCGdSb/iG0exZ2infGZPsDAmbcb4CNTBNjyrRi0rIlX42YxoZdc6F9e5g0KWyJjHKCKdNE2JpphUVzqjHv8ofgqafg9NNh0CDYsiVssYwMx6b5iWjQgM2rfQUQMLKAeK758mocS86Irzn0yX7QpQu88go0aZJ22YzygY1ME3HllfzW+7KwpTBCZtNODeGDD6B3b7fb/8EHYYtkZCimTA2jOCpVghtucJ78L7gAhgyBwsKwpTIyDFOmRoWmRN73jziCKY/NYOXoj2g7sBdVVv1V8jaMrMWUqWGUgE07NeSbByewrum+HDigA7V+nB62SEaGYMrUMEqIVqnKLwMeYN6lD9L25uNoODZh1ByjAmG7+YZRSpZ3PoV1uW1oe9tJ7LDgOzj8AahiX6mKio1MDaMMrG/cgq9GTGWH+d/BCSfAKvPkX1ExZWoYZWRLrXp8e//70Lw5HHIIzJsXtkhGCJgyNYwA0MpV4LHH4Kqr4LDD+PrRT2yHv4JhytQwgmTAAHjxRdrccSo7f/p22NIYacSUqWEETY8efHvfe+zz8AB49tmwpTHShG09GkZAbDetb9GBmcMn0fGOY+DPP+GWW8wLWZZjytQwUsT6PfeBzz6Do4+GDTj2yEUAABF0SURBVBtg6FBTqFmMKVPDSCW77QYTJ0L37k6RDhliCjVLMWVqGMVQ5l35XXaBiRNZ17EbyxYKuaOGBCGWkWHYBpRhpINddmHmQx/RYNKbMHx42NIYKcCUqWGkic31dmHW/R/AsGHwxhthi2MEjE3zDSOFxC4RbNy1MYwdCz16QMOG5BV2BiwoXzZgI1PDSDft2sFLL8Hpp5Oz7NewpTECwpSpYYTB0UfDFVfQZkgfZPOmsKUxAsCm+YYRFjffzOax02j27C3QY1iZm4teUijtskE8y4XStBVpJ17doPrINGxkahhhUakSP974HLtMeBmmTAlbGqOMmDI1jBDZXKc+P1/1bzjvPHdKyii32DTfMNJM7DR3eZdTWT7+RVZd/Sh7PXVj2voNempdlsMNyZYFygs2MjWMDGDexffT+LV/wfLlYYtilBJTpoaRAaxv3IJlXf4BDz0UtihGKbFpvmFkCItPu47drz0UbrsNatYsU1tBTpvDmr6Xt11/G5kaRoawvtHe0KmTHTUtp5gyNYxM4swz4c03w5bCKAVpn+aLyJ7Aw0APQIAJwDWqushH3erAncDZQF1gJnCTqk5OncSGkT4+qd2LQz6+mKnvr+WIY3dMaV/lMeBfMpmTHRBIx/JAWkemIlIT+AhoCZwLnAPsDXwsIjv4aOL/gIuAQcDxwO/AOBFpnxqJDSO9FOxQm79z27DjjzPCFsUoIekemV4ENANaqOpcABGZBfwMXAIk3MoUkXbAmcD5qvq8lzYJmA0MBU5MreiGkR5Wt+pI7R++ALqELYpRAtKtTE8EpkUUKYCqzheRz4CTSKJMvbqbgdej6m4RkdeAm0WkmqpuTJHchpE2/t6zBTvO+8b3lDZZuUyZyvuVI1WWA0H4LSiOdG9AtQG+i5M+G2jto+58Vf07Tt0coHnZxTOM8Nm0827krPgzbDGMEpLukelOwIo46flAvTLUjeQbRrlnTYsOFFT3s4VgZBJhGO1rnDQ/4RqlNHVF5GLgYu/lWhH5MUHR+kA2n+Wz5yvf2POFRxM/hdKtTFcQfwRZj/ijzmjygcYJ6kbyi6CqTwNPFyeYiExX1Q7FlSuv2POVb+z5Mp90r5nOxq19xtIamOOjblPPvCq27iZgbtEqhmEY6SHdyvQdoJOINIskiEgucJiXV1zdqkCfqLpVgL7Ah7aTbxhGmKRbmT4DLADeFpGTRORE4G1gMfBUpJCINBGRLSIyKJKmqjNxZlHDReRCEekOvAY0Be4IQLZilwLKOfZ85Rt7vgxHVOPt6aSwQ5HGbH+cdCLuOOmCqDK5wHxgiKoOjkqvAdyNM96vC3yDO06alxbhDcMwEpB2ZWoYhpGNVGivUSKyp4j8R0RWichqERntjZyzAhFpJCKPichUEflbRNQb9Zd7ROQfIvKWiCwUkfUi8qOI3CsitcKWLQhEpKeIfCQif4jIRhFZIiJviEhxh1vKJSLygff5vCtsWUpLhVWmAThdKQ80B07DmZ19ErIsQXM9UADcAhwDPAFcCowXkWz4XO8EzACuAI4GBuIsYaaJiC+7x/KCiJwBtAtbjjKjqhXyAq7GfRmbR6U1BbYA/wxbvoCesVLU3xfiDj3khi1XQM/WIE5aP+8Zu4UtX4qeuYX3fNeFLUuAz1QX+AM4w3u2u8KWqbRXNvyCl5a4TleAiNOVco+qFoYtQ6pQ1WVxkr/07nukU5Y08pd33xyqFMHyL2C2qr4atiBlpSIr07I4XTEyk4jPuu9DlSJARKSyiOSIyN4488E/cCaB5R4RORw3m7gsbFmCoCIH1CuL0xUjwxCRPXB+bSeo6vSw5QmQz4EDvb/n4pYwloYoTyCISFXcj8Mw/f/2zj3YqqqO458voGhp+SBFB0sURBsEBUGFChVUZMa3VoYPNDNBKnRKZVKHMtA06TEmpdSAj7HJUZBEpFQupfjIFEVHiwlfqOULTOShyK8/fut4F5t9zz333n0453LXZ2bNOXu99m+fvfZv/9ZvrbOWWVPrZbQrOrJlCq1fdCVRR0jaDv/zx3rg7BqLUzRnAIfgc6v/hw+w7VlLgQriEqA0b3yLoCNbpm1ZdCVRJ4R9webgOzgMM7PlNRapUMys5LJ4TNI8/B+ElwLn10yoNhKmH/4QHxTtKqlrlNxV0g7A+2b2cU0EbCUd2TJty6IriTogdBXvBAYDo8xsSY1FqipmthLv6rf3hdD3ArYBbsUNl1IAn/K2Ati/NqK1no6sTNuy6EqixoS5pLcBw4HjzezRGotUdSTtis+L/netZWkji4HDcwK4gj2cdrgKXIf9O2mYmP80sAa4DPefXglsD/Qzs1U1FK8wJJ0Svg7Hu4bjgLeAt8xsYc0EayOSpuHXMxm4J5O8vL139yXNAp4EnsF9pfsAFwLdgcFm9q8ailcVJBkw2cwuq7UsraHDKlOobNGV9k5ooHksNLPDNqcsRSLpJZpeAX2jBXLaI5Iuwf+9tje+x9mrQANw1ZbUPmOSMk0kEolEh/aZJhKJRGEkZZpIJBIFkJRpIpFIFEBSpolEIlEASZkmEolEASRlmkgkEgWQlGkikUgUQFKmiUQiUQBJmSYSHRxJp0laHMIKSa9Fx+fUWr72QvoHVCKR+ARJi4Cfm9kdtZalvZEs02aQNCZsQZsXVkb5JpX5H3y7pJ6vSVLPcA/elPTNKp3jHElLJX0Y3+so/WBJ64Mcr2S3mZY0M2orU6og37ej+idm0h6M0s7NpD0T4tfHMoeVuPoBT9WjfPVOUqaVcypwaCaMiNKnh7jE5uFtfIGaFfh2JYUiaXfgRmARcAQb32sAzOwxYGo43AO4Nip/DL6/EfieVD8qWkZ888cSQ6Nzd8bXeM1L+yyN6/guMbP3o3x98B17i1rir2j56pqOvNJ+S1kc72SaJSz51q6XfWtPhIfsfkm/A34qaZeC90bqDXQGZprZQ2XyXYHvdNsHOE/SH4EncEUMrpzGmNm6AmUr8RywEt8ueYgkmfvtDgA+HeUbGn0/lEYjKlZ2AAPwdl5Ub6Ro+eqaZJkWRF6XODj2X5C0VtISScdJapDUkMnXX9Kc4PxfI+lhSV/Oq19Sb0lzJa2S9LKkK0L3DElfDXn65cg3T9Li6LiXpFskvRjOuUzSNEllNxOUNCMsf5eNb+117SNpVuiurw3d5TskVfqiL23G1r/C/EgaKemRINN7kmZL6hNfI77cHcAD4TedkVeXma3F953agC/jOB24AegRskw1s8crla0lBMX0SDjcEdgvfC8pp/m4Mu8t6XOZNHCrO+ZAfA3VepWvrknKtHI6S+qSCU3+fpKOxFeCfwE4GfgZ8At8kd843wC80ewEfCvkfQe3ugayKbOAB4ETgNl49/GskDYHeA84PXOOXfFu6i1R9O64JT0BOBrvKg8H7i3/M1RGC67rHnyf+7FBjkuBdVTQNiUJuCgcbvICaaLMSGAusAr4WjhvX+Ah+Q6n4IuEfzd8vwC3lq5sqk4zewS/twA9gdHh+z9xy7XsNeS0q7zQuYkq8rrSQ8LnfcCSTFysrPIs00L8pU2co63y1TdmlkKZAIzBV+HPC/dE+SYRXsbheBHwLGHGRIgbEMo1RHEP4D61raO4ziFudrZ+4OyMfEuAP0fHN+FKslMUNwHfuXO3MtfZBfhSOMeBedcU4mYAL+WUb2jpdQHdwvmOa+W9uQD4EFeMN1dY5glgKdAliusJfIRbkaW4EUG2wyqsd1vc1xi3jyEVlDusTPuKQ0MF5WeGuFfD8SDg+vD9mnCPV4Xj5Tl1vQv0Lfj5KUy+eg/JZ1o5J7KpT3STEV74xMF+EL4q+iddfzN7UtKLUb5tgWHAFGBDpmt7P40WTszczPGzePesxC34ro9HhDrAtwu+38zeiM69Nb552Zn4ivXbRHX0oQ0WSguu6x1gGXB1sJ4bzGxphefYE7ga37bkK1Rgmcq3qhkATDGz9aV4M3tR0sNB5tayM/5yiOlD813Vf+BKpTmaGoh5HH8RbAUMle8e0QNYje+1tDf+0hmKt5OSr3ITucwsb7fetlKYfPVOUqaV86yVGYDK0A1vPHkDIv+Nvu+EW2uXh7AJkjqZ2YYo6t1MlnVsrAj/hm8HfAbepd4PVyCnZ8pdBXwH794vwh/WHsBdmfpaQ8XXFdwhk4I8O4eXzbVmNq2Zc9yEb7o2BfgMMF7SVmb2UZkyO+J+zTdy0v5D09ugVMKNQQ5wy0rAVEnzzez1MuVW4UqlOXIHhcxsdfCFD8IV00kh6XEz+0hSafBsIP6CLbFZutBFySdpMN77ife++pWZ/V5SX9zdtS/uHlqNW7p3A3/AX2rr8GdvrJktK+4KG0nKtDq8jb+Nd8lJ2xV4JXxfiQ9c/Bq4Oa+ijCJtFjMzSbcCEySNxZXqKtzXGvN1vGv8k1KEpO0qOMVafE+iLDvjlia04LpCwz4z+D/7A+OBGyS9ZGbz8spKOg+3IgeFB3JxkGlfGn1weazAlVL3nLTukfwtQtIY4Jhw+FfgT/g0qR2A3wLHlik+DFhQwWkW4l3mPB6m0bq9MHwuAp9lIukV4PP4Zopxmc1FEfINBOaa2alxpKSDcQNgnJndHeJ64v5/gGlmNj/Ej8cHCGOlXRy19jPUe6DRZ9qrmXyTaN5nOpBNfaYN+IPSqZL6iXx9IX4GGR8mPshluDX6MjAjp74VoaHFcTeHcmPyrinETcRHYLtFcXvjvssWX1eOXJ8JMvygifQe+CDbFVHc/qHM6Arq/zs+KNg5ivtCkP+6KK4inymwG41KejW+p30nXBmUfIWnlym/Pe4Sai70KVPHKdG5SmFUlH5bJu2DnHY0mMaudymcE6X3Be7Epzs9j7snzsIHQZ8P+ecDe1VJvunAxZm4LnjvZEyFbesgcvz9RYWqVLolBRqV6SnAITmhS8g3iY2V6ZGh3GxgFO6bXIZ3MR+M8g3ALce/4NbiMHzkezJwdZRvEhUq0xD/KO7jNWB4Tvrt4eEZBxwF/CY0zOaUaS98MGs+Pvo+Gn9pvM7GyrTZ68L9nAvwLZtHhPpux636gU3cj3vx6TtbRXFdcIv5mgru50j8ZTAPtxhPw7uObwG7R/kqVaZzIiVwYRS/T/h9Dbd4u1exje7GxspoA7BjlD4uk74gp46xwB1N1H8w8BpwfBTXE+9FHB3FjY/bdsHyPYUPHJYU/bnh/r1B5pko8zvNBH5ZtftQrYq3lED50XwjWGhNKJ5v4NNj1uFv9BNDo5iVybcf7tt5M+RdHh7S+O09iZYp0wtC/o1G9qP0buGcK0K4De+KlVWmIf4EXIGuAZ7GlXEDmRHn5q4Ld4PMxJXZatwfvDB+QHPuxYdA/5y0J4D7KrynI/H5j2twK/duMpYfFShT/EVSageLsr8z3qUtpd9V5Xa6LDrXc5m0fpk2Ozmn/CaWX4iv2PqjjOXXFvmArqH9bJ+Jvxzv+lfy+0wM9/xT1boHaaGTzYikHnjDnGxmTc5bTCQ2N5KeArbDu9gA15vZdEnH4oNre1g0A6KJOmYCK83sewXLNgi43cx6ZeInAEeZ2ahmyn8f7x2NMLPcGThFkAagqkSYHjQVnwr0NrAXcDFugU2voWiJxEZI6gp8Ee9lZadgHQA8WYEinYi7NoaXy9dKBuI9oCxzgUmShpjZoiBHb+AAC6teSboId+VUVZFCUqbV5GN8hPh6fKT7A3za0qkWzfdMJOqAfsCrOYoUfMqcyhUOlt/JuMJaXQX5BgLPZCPNbKmkk4Br5atLbY27lH4c5OoBXIe7GBb4hBHWm9lBVZAxdfMTiY6OpPOBI83s5Jy03vgMiFF51l+w/EbjinTF5pS73kjKNJHo4Ei6Cf/7Zu4ygZKOwNcmyFp/L+B/DV1G4z+0qmb51TtJmSYSiUQBpFWjEolEogCSMk0kEokCSMo0kUgkCiAp00QikSiApEwTiUSiAJIyTSQSiQJIyjSRSCQKICnTRCKRKID/Ayxm7jATiHSJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 16\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, 92, eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:32.896966Z",
     "start_time": "2018-09-05T19:51:31.958619Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "64f586bc85d542bba5609f545444a5e1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 4.92\n",
      "% sigma 1.0612\n",
      "saved figure img/mini-alexnet-fc2-bs8.png\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 8\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:33.965741Z",
     "start_time": "2018-09-05T19:51:32.898897Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1f085dacec1c4537ac7b05d017da3b9b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 4.92\n",
      "% sigma 1.1392\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs4.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 4\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, 90, eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:51:34.959436Z",
     "start_time": "2018-09-05T19:51:33.967751Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7ef5dbd7f6fc4dd2888a80b3c731c7d4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "% spikes outside bulk 9.40\n",
      "% sigma 1.2050\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "RMT_Util.ipynb:7: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  \"## RMT Util\\n\",\n",
      "RMT_Util.ipynb:7: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \"## RMT Util\\n\",\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved figure img/mini-alexnet-fc2-bs2.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 2\n",
    "eigenvalues = ensemble_evals(batch_size, layer=LAYER_FC2)\n",
    "rmt_plot_fc2(batch_size, num_spikes[batch_size], eigenvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:53:04.121989Z",
     "start_time": "2018-09-05T19:51:34.961283Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "17d18ea56df84f538031d6b43a526a87",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d4fb9c3ab05046979d488efe4edd8096",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dbe37770e8ec4e92a984e80bd31de2a6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "07914483c26b435285025f52c8c9bac7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c6aa6ff1e47e46babf1b550fa36705d3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "66c8a7dd54b2444fb862abe7c1190e55",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7b4da5b96bba48f8baa4dfa684f92cfd",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6a1f850611e04fddb98543724d94e317",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "56287610b40a4bf3a7aa8d033c7980ba",
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      },
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       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "996376bf7eb54f8ab415044e330200c7",
       "version_major": 2,
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      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "stable_ranks = []\n",
    "soft_ranks =  []\n",
    "for bs in batch_sizes:\n",
    "    \n",
    "    ns= num_spikes[bs]        \n",
    "    evals = ensemble_evals(bs)\n",
    "    stable_ranks.append(RMT_Util.stable_rank(evals))    \n",
    "    \n",
    "    soft_ranks.append(RMT_Util.mp_soft_rank(evals, ns))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:53:04.543498Z",
     "start_time": "2018-09-05T19:53:04.123724Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved file img/mini-alexnet-softrank-per-batch-fc2.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "x = batch_sizes\n",
    "ax1.invert_xaxis()\n",
    "#ax1.invert_yaxis()\n",
    "ax1.set_xscale('log')\n",
    "ax1.plot(x, stable_ranks, 'b-')\n",
    "\n",
    "ax1.set_xlabel('log10 batch size')\n",
    "# Make the y-axis label, ticks and tick labels match the line color.\n",
    "ax1.set_ylabel('stable rank', color='b')\n",
    "ax1.tick_params('y', colors='b')\n",
    "\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "ax2.set_xscale('log')\n",
    "ax2.plot(x, soft_ranks, 'g.')\n",
    "ax2.set_ylabel('MP soft rank', color='g')\n",
    "ax2.tick_params('y', colors='g')\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.title(\"Min AlexNet FC2:\\nStable Rank vs Batch Size \")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig(SOFTRANK_FILENAME_FC2)\n",
    "print(\"saved file {}\".format(SOFTRANK_FILENAME_FC2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Test and Train accuracies, averaged over ~10 batches\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:53:44.972295Z",
     "start_time": "2018-09-05T19:53:04.692801Z"
    }
   },
   "outputs": [],
   "source": [
    "train_accs_4_batchsize = {}\n",
    "test_accs_4_batchsize = {}\n",
    "for bs in batch_sizes:\n",
    "    train_accs = []\n",
    "    test_accs = []\n",
    "\n",
    "    for i in range(3,10):\n",
    "        outfile = outfile_template.format(i,bs)\n",
    "        train_accs.append(RMT_Util.read_training_accuracies(outfile)[-1])\n",
    "        \n",
    "        test_accs.append(RMT_Util.read_final_test_accuracy(outfile))\n",
    "\n",
    "    train_accs_4_batchsize[bs]=np.mean(train_accs)\n",
    "    test_accs_4_batchsize[bs]=np.mean(test_accs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-05T19:53:45.326742Z",
     "start_time": "2018-09-05T19:53:44.975540Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saved file img/mini-alexnet-accs-per-batch.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(batch_sizes, train_accs_4_batchsize.values(), color='blue', label='train')\n",
    "plt.scatter(batch_sizes, test_accs_4_batchsize.values(), color='orange', label='test')\n",
    "plt.title(\"Mini AlexNet:\\nAccuracies vs Batch Size\")\n",
    "plt.ylabel(\"Accuracy\")\n",
    "plt.xlabel(\"log10 Batch Size\")\n",
    "ax = plt.gca()\n",
    "ax.set_xscale('log')\n",
    "plt.gca().invert_xaxis()\n",
    "#plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "\n",
    "plt.savefig(ACCURACIES_FILENAME)\n",
    "print(\"saved file {}\".format(ACCURACIES_FILENAME))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.5"
  },
  "widgets": {
   "state": {
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