Data_Processing_Whales.ipynb

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     "slide_type": "slide"
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   "source": [
    "# Whale Classification from echo-location clicks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "This project is based on underwater sound data collected in the Gulf of Mexico during and since the time of the Deepwater Horizon oil spill in 2010. The task is to assess what species of whales were present at three recording sites, one near to the leaking well, and two others just outside the bounds of the spill. Here is a map of the Gulf of Mexico showing the recording site locations (dots) and the oiled area (gray).\n",
    "\n",
    "<img src=\"./intro.jpg\" height=500 width=500>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "The classification was performed using the echo-location clicks emitted by beaked whales. These are very short pulses (less than a ms) that whales and dolphins use to sense their surroundings, including the detection of their prey. Different species of beaked whales emit clicks with different waveforms and spectral distributions. The time intervals between clicks also provides information about the species. Examples clicks from Cuvier’s and Gervais’ beaked whales are shown below.\n",
    "\n",
    "<img src=\"./Cuv_Ger.jpg\" height=500 width=500>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
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     "slide_type": "subslide"
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   },
   "source": [
    "The task is simplified by the fact that whales usually occur in groups all belonging to the same species. The clicks can be separated into “runs” of clicks, each usually corresponding to a single species, separated by periods without clicks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "The goal of the proposed project is to create a classifier that takes as input data a run of clicks and outputs the species that is found in that run.\n",
    "\n",
    "Beyond this project, there are many potential follow-up projects, related to analyzing various sounds emitted by marine mammals, including songs of baleen whales.\n",
    "\n",
    "Peta-bytes of underwater audio data have been collected by Scripps and other oceanographic institutions, and the systematic analysis of these data is in it’s infancy. There is many opportunities for people with the relevant skills in big data analysis and signal processing to get involved in the process of discovering the information contained in sound and other oceanographic data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
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     "slide_type": "skip"
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   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%config IPCompleter.greedy=True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## Importing require dependencies and starting a spark context"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "from pyspark import SparkContext\n",
    "Files=['lib/row_parser.py','lib/spark_PCA.py']\n",
    "sc = SparkContext(pyFiles=Files)\n",
    "\n",
    "from pyspark.sql import Row, SQLContext, DataFrame\n",
    "from pyspark.sql.types import *\n",
    "\n",
    "sqlContext = SQLContext(sc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "import pandas as pd\n",
    "import datetime as dt\n",
    "\n",
    "from scipy.io import loadmat, savemat, whosmat\n",
    "\n",
    "from collections import Counter\n",
    "import re\n",
    "import numpy as np\n",
    "from numpy import shape\n",
    "\n",
    "from glob import glob\n",
    "from time import time\n",
    "import sys\n",
    "from row_parser import *\n",
    "from spark_PCA import *\n",
    "from pyspark.sql import DataFrame"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## The Dataset\n",
    "The full dataset has 6.5 million clicks with data of the size of about 27GB. After filtering the mis-classified clicks and faulty data, we end up with 4.1 million clicks of which 1.9 million are Gervais and 2.2 million are Cuviers.\n",
    "\n",
    "Here we use a sample of about 15MB in size that contains about 2000 samples from each species becasue our systems will take a huge amount of time in processing these data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "'ls' is not recognized as an internal or external command,\n",
      "operable program or batch file.\n"
     ]
    }
   ],
   "source": [
    "!ls -l Data/whale_data_15mb.np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "file_data = np.load(\"Data/whale_data_15mb.np\")\n",
    "file_data_rdd = sc.parallelize(file_data.tolist())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "files are ready for parallel operations "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[datetime.datetime(2010, 8, 10, 11, 45, 36, 626459) 'Cuviers' 'DT' ... 0\n",
      "  0 0]\n",
      " [datetime.datetime(2010, 8, 10, 11, 46, 6, 4604) 'Cuviers' 'DT' ... 0 0\n",
      "  0]\n",
      " [datetime.datetime(2010, 8, 10, 12, 11, 25, 866437) 'Cuviers' 'DT' ... 0\n",
      "  0 0]\n",
      " ...\n",
      " [datetime.datetime(2013, 4, 30, 7, 19, 41, 228925) 'Gervais' 'MC' ... 0\n",
      "  0 0]\n",
      " [datetime.datetime(2013, 5, 1, 11, 37, 0, 617731) 'Gervais' 'MC' ... 0 0\n",
      "  0]\n",
      " [datetime.datetime(2013, 5, 1, 11, 38, 46, 580242) 'Gervais' 'MC' ... 0\n",
      "  0 0]]\n"
     ]
    }
   ],
   "source": [
    "print(file_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "schema = StructType([\n",
    "     StructField('time', TimestampType(), True),\n",
    "     StructField('species', StringType(), True),\n",
    "     StructField('site', StringType(), True),\n",
    "     StructField('rec_no', StringType(), True),\n",
    "     StructField('bout_i', LongType(), True),\n",
    "     StructField('peak2peak', DoubleType(), True),\n",
    "     StructField('MSN', BinaryType(), True),\n",
    "     StructField('MSP', BinaryType(), True),\n",
    "     StructField('TPWS1', LongType(), True),\n",
    "     StructField('MD1', LongType(), True),\n",
    "     StructField('FD1', LongType(), True),\n",
    "     StructField('TPWS2', LongType(), True),\n",
    "     StructField('MD2', LongType(), True),\n",
    "     StructField('FD2', LongType(), True),\n",
    "     StructField('TPWS3', LongType(), True),\n",
    "     StructField('MD3', LongType(), True),\n",
    "     StructField('FD3', LongType(), True)\n",
    "])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Data schema\n",
    "The data was originally stored as Matlab files. Those were translated into CSV files.\n",
    "\n",
    "#### The feature vector\n",
    "Each click is defined by the following fields\n",
    "\n",
    "|field name     | Description               | Data Type\n",
    "|---------------|---------------------------|--------------\n",
    "|0: time        | time of click             | string in datetime format `%Y-%m-%d %H:%M:%S.%f`\n",
    "|2: site\t\t| name of site\t\t        | 'str'\n",
    "|3: rec_no\t\t| recording number\t\t    | 'str'\n",
    "|4: bout_i\t\t| bout number\t\t        | numpy.int64\n",
    "|5: peak2peak\t| peak to peak magnitude    | \t\t\tnumpy.float64\n",
    "|6: MSN\t        |\twave form |\t\t an array of length 202\n",
    "|208: MSP\t\t|\tspectra |\t an array of length 101"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "subslide"
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   },
   "source": [
    "## The labels\n",
    "Labels were assigned manually. Three passes were made on the data at increasing levels of scrutiny.\n",
    "The labels used are those define by the second pass (where TPWS2 flag is set to 1)\n",
    "\n",
    "#### Format of original matlab files\n",
    "\n",
    "The name of the file defines the type of clicks stored in the file. The filename is formatted as follows:\n",
    "\n",
    "|Name | site name | Recording number | Species | Type of file | Data Cleaning iteration |\n",
    "|-|-----------|------------------|---------|--------------|-------------------------|\n",
    "|**Field name in code** | site | rec_no | species | fields | no |\n",
    "| | DT, GC, MC | 01,02,.. | Cuviers and Gerveis | **TPWS:** full data (waveforms) | no number == 1 |\n",
    "| |            |          |                     | **MD:** click belongs to other species | |\n",
    "| |            |          |                     | **FD:** click appearing in other species belongs here | |\n",
    "\n",
    "**Question to US:** Is there a  field which defines the **final** species classification? If not, what is the formula for determining it from the recorded fields?\n",
    "\n",
    "|field name     | Description               | Data Type\n",
    "|---------------|---------------------------|--------------\n",
    "|1: species\t\t| Initial species classification\t        | 'str'\n",
    "|309: TPWS1\t\t| 1 if click appears in TPWS1\t| \tbool\n",
    "|310: MD1\t\t|\t--- \" ---\tin MD1|\tbool\n",
    "|311: FD1\t    |\t--- \" ---\tin FD1|\tbool\n",
    "|312: TPWS2\t\t| 1 if click appears in TPWS2\t| \tbool\n",
    "|313: MD2\t\t|\t--- \" ---\tin MD2|\tbool\n",
    "|314: FD2\t    |\t--- \" ---\tin FD2|\tbool\n",
    "|315: TPWS3\t\t| 1 if click appears in TPWS3\t| \tbool\n",
    "|316: MD3\t\t|\t--- \" ---\tin MD3|\tbool\n",
    "|317: FD3\t    |\t--- \" ---\tin FD3|\tbool"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "df_new = sqlContext.createDataFrame(file_data_rdd, schema).cache()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Row(species='Cuviers', count=2238), Row(species='Gervais', count=1937)]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#count the number of records (clicks) for each species\n",
    "df_new.groupBy('species').count().collect()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def get_msn(row):\n",
    "    \"\"\" extract MSN from row as numpy array\"\"\"\n",
    "    return unpackArray(row.MSN,data_type=numpy.float64)\n",
    "def get_msp(row):\n",
    "    \"\"\" extract MSP from row as numpy array\"\"\"\n",
    "    return unpackArray(row.MSP,data_type=numpy.float64)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### A few examples of waveforms and spectra for both species"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "hide_input": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e97b1ae748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Gervais=df_new.filter(df_new.species=='Gervais').take(4)\n",
    "Cuviers=df_new.filter(df_new.species=='Cuviers').take(4)\n",
    "\n",
    "# After creating plot ...\n",
    "\n",
    "#cur_axes = mplot.gca()\n",
    "#cur_axes.axes.get_xaxis().set_ticks([])\n",
    "\n",
    "figure(figsize=(12,10))\n",
    "i=0\n",
    "\n",
    "for row in Gervais+Cuviers:\n",
    "    waveform=get_msn(row)\n",
    "    spectra=get_msp(row)\n",
    "    subplot(4,4,i+1)\n",
    "    plot(waveform)\n",
    "    title(row.species)\n",
    "    gca().axes.get_xaxis().set_ticks([])\n",
    "    if(i %4)==0:\n",
    "        ylabel('waveform')\n",
    "    subplot(4,4,i+5)\n",
    "    plot(spectra)\n",
    "    gca().axes.get_xaxis().set_ticks([])\n",
    "    if(i %4)==0:\n",
    "        ylabel('spectra')\n",
    "\n",
    "    i+=1\n",
    "    if i==4:\n",
    "        i=8\n",
    "   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Our analysis is based on the spectra\n",
    "The spectra is computed from the waveform using FFT\n",
    "\n",
    "The only other information that is extracted from the waveform is `peak2peak` which measures the difference between the max and the min of the wave form."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "shape of E= (101,) shape of NE= (101,)\n"
     ]
    }
   ],
   "source": [
    "\n",
    "spectra=df_new.rdd.map(get_msp)\n",
    "COV=computeCov(spectra)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Mean and covariance of spectra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e97aa19940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "M=COV['Mean']\n",
    "S=np.sqrt(COV['Var'])\n",
    "plt.plot(M-S)\n",
    "plt.plot(M)\n",
    "plt.plot(M+S)\n",
    "plt.legend(['Mean - std', 'Mean', 'Mean + std'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### PCA of spectra\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "trimmed_spectra?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "shape of E= (101,) shape of NE= (101,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e97b842c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## please remove the print command that generates:\n",
    "## shape of E= (101,) shape of NE= (101,)\n",
    "\n",
    "## Get Spectra\n",
    "spectra=df_new.rdd.map(trimmed_spectra)\n",
    "\n",
    "## Extract Eigen Vectors\n",
    "COV=computeCov(spectra)\n",
    "eigval,eigvec=LA.eig(COV['Cov'])\n",
    "eigval=eigval/sum(eigval)\n",
    "\n",
    "## Check the Reconstruction\n",
    "plot(100*cumsum(eigval[:11]))\n",
    "grid()\n",
    "title(\"Percentage of variance explained\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Visualizing the first 4 eigen vectors\n",
    "\n",
    " `ev0` seems to relate to the overall magnitude of the spectra.  Can  we interpret `ev1,ev2,ev3`?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/pHzH+zXSe0GWNynLT4cTW6Dl9RWLq2En6PcS7JoPu3+6/HFFeRD3BbQZBA06VuwaldGkR+lTmFeISQghRK1RK5cvzTJixIhzs2HnW7z4wnZBffr0QTO6unxNkLwDXL30VkrlFdat/EnZ4T9Bs0OrCiZlAH2eg4SlsPg5aHot+Na/9JhtM/UZtT7PVnz8yjhbSHbjN/pTmB51ZN+hEELUUTJTJhzn5E59L5nFevVjzwrrDhmJkJNy9WMPxep9KM8ue1aE1QWGfgFFuXp9s8yLSpTYimHNZGjSE5pdW/HxK6vD0NJemHVgJlUIIeo4ScqEY2ianpQ1uKZi553bV1aOemWHVullLqyuFY8PIKSdvr/s1G74ojfE//K/93b/BJlHHTdLdlZYd/BvIkuYQghRB0hSJhwjIxEKMyuelDXsBBaXqy9hpidC2iFo2b+yEeo6DIXH/4R6zfQZs1+e0WfP/voIQiP0/WSOpFRpIdkVepcCIYQQtZYkZcIxTu7UPzboVLHzXD31RO5qSdmhVfrHim7yL0tQKxj9G1z7NGz+DiZ3gZQ9+hOXFhP+yXQYBvZi2Ptfx19bCCGEw0hSJhzj5E69flhFNvmfFdYdjm8BW8nljzm4Cnwb6kuQRnBxg0FvwkOlxVsDWly5V2d1atwF6jWVJUwhRLXRiovJWv4r9txcw8Y88900spYtN2y8ukCevhSOcXInBLUBN6+KnxvWHTZ8BanxZb9vt8HhP6DtzcY3B291PTy1Wd9sX9m9alWllL6sum4K5KVdvcCtEEJUQElaGsefeZa8DRvw6tWTJl9+icXNrUpjZsfGkvLuu6AU9ry3qDdsqEHR1m4yU2aCgoICoqOj6dSpEx06dOC1114zO6Tql7yj4vvJzgrrpn+83BLmyR16jbLKlMIoD3cf8xOhDkPBXgJ7F1/9WCGEKKeCPXs4fPfd5G/fTr17R5C3Lo7kf/4TzW6v9Ji2nFxOvv4Gbq1b4d2rF8njx5Px0+VbxtmyssjfvZv8nbvI37mT/B07yN++nZLTpysdQ00lM2UmcHd3Z+XKlfj4+FBcXEyfPn24+eab6dmzp9mhVY+8NMhKgoaRlTs/oAV4BelPYNZreen7B8/uJ+tf2QidX8Mo/c9h9096I3QhhKiizMX/Jfnll7HWq0ezmTPx7NgBt7AwUt7/AGtwMPX/9a9zrQErInXSJEpOnqTZrJl4tG9P0thxJP/73wDUG3rnueNsWVmkTZtG2vTvy1w2dW3ShFbLl6HM2MtrEknKDDRjxgwmT55MUVERPXr0IDIyksTERN577z0Apk2bxubNm/nkk0/w8fEB9B6YxcXFlfqLX2Oc2+RfyZkypfQlzKSNUG/4pe8fWgWhHcAntPIxOruzS5hrPobc0+AdbHZEQogaSrPZSP3oI858MxXPrl0J+3gSLsH695TA0aMpSU0lbfr3uISEEPzooxUaO2/rVtJnziTg/vvx6twZgLDPppA0duy5xMx34EDSZ/zAmW+/w56Vhe/gwfjddivK6gIKUIqCHTs4/dnn5G3ahHdpN5y6oFYmZSfffpvC+L1VGqPEZiPN+r8ip+7tw2lQ+heqLPHx8cTExLBmzRpcXV0ZO3YsPj4+LFiw4FxSFhMTw/jx4wGw2Wx07dqVAwcOMG7cOHr06FGleJ3auaSskjNloC9h7luGS3HOha8X5cHROIh+rPJj1xQdhsJfH+r107qNMjsaIUQNpGkap956i/RZs6l33700+Ne/UOftH1NKEfrSS5ScPkPqBx/iEhxywezWFccuKuLkq6/iUr8+Ic/+r6ajxcODsM8+O5eYpbzzDrbMTHxuuIGQp57Eo/2lD4B5R0dzZtp0sn75RZIyUXErVqxg8+bNdO+uFzvNz88nNDSUli1bEhcXR5s2bUhISKB3794AWK1Wtm3bRkZGBkOHDmXXrl107OiAfopmOLlD7+FYldmd0iKyDU6uAPvN/+sKcHStvgnfiFIYzq7BNRDUWl/ClKRMCFEJp6d8Rvqs2QSOfoT6//hHmccoi4VGE9/Glp5G8ssvk/vnn3hccw2eHTvg3j4Cq4932WN/8w2F+w8Q9vlnlxxj8fAgbMoUTrz4EvaiQkLGjcMz8vI/qFu8vPAbeCNZy5ZT/+WXsbi7V/6LrkEMScqUUjcBHwNW4BtN09656P2+wCQgErhX07T5571nA0qnUjiqadrtVY3nSjNa5ZWdnY2vr2+5j9c0jZEjRzJx4sQLXp86dSpz584lPDycoUOHXrJMWa9ePfr378+yZctqcVJWiUr+FwuLhvodaX3wW/hkFfQaB1EP6K2VrG6ObX1klrNLmH9+oLedqs3LtUIIw6XNmsXpTz/Ff+hQQl944YrHKjc3Gk/+hFNvvkHuho1kLSlt9aYUbi1b4tEhAs8OHfDo2BGP8HCKT57kzOdf4HfLLfheX/YPyRZPT8I+mVzueP1uv53MnxeRsyoWv5sGl/u88io8dBif+T9S1LoNbmGNDR+/Mqq8e04pZQWmADcDEcB9SqmIiw47CjwMzCpjiHxN06JKf1U5ITPLgAEDmD9/Pikpeo/GtLQ0EhMTGTZsGAsXLmT27NnnmpWnpqaSkaFXZ8/Pz+f3338nPDzctNirVXEBpCZUPSlz84Ixq9nV4SX9ScglL8CkjrB9DjTpUblSGzVRx7v0puvb55gdiRCiBslaupRTb07Ap39/Gr75Rrn2MVt9vGn07ru0WbWSNn/9SZMvvyD4yXG4NWlC3ro4Tk18h8QHHiShW3eOjLgXi5cX9cdXfVLkLO+ePXEJCSFz0SLDxjxf0aGDeP/+O/aszGoZvzKMmCmLBg5omnYIQCk1B7gD2HP2AE3TjpS+V/lnbJ1cREQEEyZMYNCgQdjtdlxdXZkyZQrNmjUjIiKCPXv2EF26Lp6cnMzIkSOx2WzY7XaGDx/ObbfdZvJXUE1S9oBmq3pSBmCxcjrkWrj7X5C4FtZOhn3LoM9zVR+7pghtD81663Xbeo7VG6kLIcQV5K5dy/EXX8KzSxcaT/oI5VLx7xsuwcH49OuHT79+514rTkmhYPduCnbtpiBhL/WGDcMlKMiwuJXVit9tt5H2ww+UpKfjEhBg2NgAtkw9GbP6+xs6blUY8R29MXDsvM+TgIrsWvdQSm0CSoB3NE27fDETJzdixIhzs2HnW7z4wtpSkZGRbN261VFhmevsJv/KlsMoi1LQvLf+K/c0eBr7D9Xp9RwLMQ/oNcs6lG8DrhCibsrfvp1jTz6Fe4sWNPn8MyweHoaN7Roaimto6GWXK43gf/sQ0r77jqylSwm8/35Dx7Zl6EmZxb+eoeNWhRFJWVlzoFoFzm+qadoJpVRLYKVSaqemaQcvuYhSjwGPAdSvX5/Y2NgL3vf39yc7O7sCl70ym81m6HiVVVBQcMnXWpO02beM+lZP/tp+BNTRKo+Xk5NTo/88DKF50sOjAUXLJ7I11fxvJnJPnJPcF+fj6HvikphIwEeTsPv6kjL6EY5u2eKwaxtG0whs1IhjM2ayo1EjQ4f23rkTb4uFPzduML4bTCUZkZQlAU3O+zwMOFHekzVNO1H68ZBSKhboDFySlGma9hXwFUC3bt20/v37X/B+fHx8hTbmX01FN/pXFw8PDzqX1nqpkQ5OhMZR9L/+BkOGi42N5eJ7Xyd5Povnspfo39oXwrqaGorcE+ck98X5OPKeFOzZQ+KLL2ENCqLZD9/janBC40inDxwg9YMPubZFC9yaNTNs3OTYWNK8vehfjTN9FWVEmdyNQBulVAullBtwL1CuXXlKqQCllHvp74OB3py3F62iNK0iE3TOr8Z/PXY7nNpVtfpkomydHwB3P4ibYnYkQggnU5CQwNFRj2Dx8abp9Ok1OiED8B8yBJQi8xdj28zZMjOxe5Vd3sMsVU7KNE0rAZ4ElgPxwFxN03Yrpd5QSt0OoJTqrpRKAu4BvlRK7S49vT2wSSm1HViFvqesUkmZh4cHZ86cqfmJTClN0zhz5gweBq7/O1z6YSjKMWaTv7iQu6/ebmn3QshMMjuaMmmaxsnck/xx7A++2vEVH27+kLUn1lJkKzI7NCFqrcL9+zn68CiUhwfNpk1zmlIPVeHaoAFePXqQuWiRof/H2zMzsXs7V1JmyKNbmqYtAZZc9Nqr5/1+I/qy5sXnrQUM+R87LCyMpKQkUlNTjRiOgoIC0xMiDw8PwsIu+WOrOU7u0D9KUlY9oh+DuM9gw9cw8HWzozln+ZHlzEuYR0J6AhmFGeded7G48N2u7/By8aJnw570DetL37C+hHiFmBitELVHUVISiaMeQbm40Gz6NNyaNjU7JMP4DxlC8vjxFGzfjmdUlCFj2jIy0bycq5xSrXme3tXVlRYtWhg2XmxsbM3ey+UMTu4Ei4texkEYL6AZtB8Cm6dBvxfBzdyf+IpsRby38T1iEmJo4d+CAU0H0C6wHeGB4bSp1warxcqG5A2sTlrN6uOrWXlsJS7KhWFthjGm0xhCvaQYrhBVcWbqVOzZ2bT4aQFuzZubHY6hfAcP4uQbb5C5aJFxSVlWFvbGzrW0W2uSMuGEkndASDi41I32GKboOQ72/AzbZkF0xRoHG+lEzgmej32eXWd28XCHh3m6y9O4WlwvOa5fk370a9IPTdPYn7GfuQlz+XHfjyw6uIgH2j/AqI6j8Hd3nppBQtQU9rw8shb9gt9Ng3Fv2dLscAxn9fHBd8ANZP13CaEvvmhIaQ9bZiZamzYGRGccIzb6C1E2I9oriStrEg2NukDc5/qDFSbYnb+be365hyNZR5jUfxLPd3u+zITsfEop2ga05eWeL7PozkUMaDaAb3d9y80Lbuabnd/IvjMhKihr6VLsubnUGz7c7FCqTb3hw7FlZpK1dFmVx9JKSrBnZ2P3luVLURfkpEDOSUnKqptSeh/QH0fD/l+h3U2GXyK/JJ/dp3ezLXUbJ3JOUFBSQH5JPvm2fPKK89iaspXwwHA+7PchTfyaXH3AizTxa8I7173DqA6jmLx1Mh9v+ZjFBxfzeu/X6RTSyfCvR4jaKH3uXNxatcKzSxezQ6k2Xj164NaqFemzZlFvaNUKZ9tK65DaZU+ZqBNkk7/jRNwBv70K6z41LCnblrKN5UeWsz11O/Fn4inRSgAI9AjE08UTTxdPPKweeLp6coPfDbx787t4uFRtOaFdYDumDJjC6qTVvBn3Jg8teYj729/P052fxsvVub5xCuFMCvbupWD7Dur/65/l6mlZUymlCLjvPk5NmED+zp14XlP5/1/spS2WtNr49KUQl0iWpMxhrK7QY4yemCVvh4ZVm12aFT+Ldze+i6vFlY7BHRnZYSSdQzvTKaQT9Twu7SAQGxtb5YTsfH3D+rLwjoVM2jyJmfEzWXV0Fa/2epXejXsbdg0hapOMufNQbm743X672aFUO/87biflww9JnzUbz4mV///lbN/LWlenTIgyJW+DgOZ1ry+lWbqMBDcfWPtppYcosZfwVtxbTNwwkb6N+/LHiD+YdtM0nun6DP2a9CszIasu3q7ejO85nu9v/h53F3ce//1x3t/4PiX2EofFIERNYM/PJ3PRInwHDza8Ybczsvr64n/7ELKWLKEkPb3S49jOzZQ51yy8JGWiehgwYyMqwLNeaTHZBZB5vMKnZxdl8+SKJ5mTMIeRESOZdP0kvF3N/wmyc2hn5g2Zx73t7mX6nuk8+uujnM4/bXZYQjiNrKXLsOfkEDD8HrNDcZiA++5HKywkc8FPlR7j3EyZky1fSlImjJefDulHoKExtWREOfV4HDQ7rP+iQqcdyz7GQ0seYn3yev5fr//HC91fwGqxVlOQFedudWd8z/G83edtdp3exfBfhrM1ZavZYQnhFDLmzsWtRQs8u3UzOxSH8WjXFs9uXUmfMwetkk+d2zLOLl/KTJmo7ZK36x8bSVLmUAHN9E3/m6dDYXa5Tjmdf5qHlz5Man4qXw78krva3lXNQVbekFZDmHHLDDxdPHlk2SPM2DODYnux2WEJYZqChH3kb9tGveHDa/UG/7IE3n8/xceOkfvnn5U635ZVunwpSZmo9c4mZTJT5ni9noLCTNjyw1UPLbYX83zs82QVZTF18FSiG0Y7IMCqaRfYjtm3zaafXH9IAAAgAElEQVRPWB/e3fgu1825jqdXPs2cvXM4lnXM7PCEcKiMefNQrq7433mH2aE4nO+NN2INCSZ91uxKnW/LzMTi4wNW51kVAHn6UlSHE9vAvyl4BZodSd0T1hWa9tKLyUY/BtbL/xP/YNMHbEnZwjvXvUN4YLgDg6waPzc/Pr7+Y/449gd/Hv+TtSfWsurYKgCa+DbhlZ6v0KtRL5OjFKJ6ndvgP3BgndjgfzHl5kbAPfdw+vMvKEpKwq2CfaLtmZlY/Z2ve4jMlAnjJW+DRrLJ3zS9noTMoxC/6LKH/HLwF2bGz+TB9g9ya8tbHRicMSzKwvVNr+fVXq+ydNhSFg9dzL+i/4WrxZUnVzxJ7LFYs0MUolplLVuOPSurVlfwv5p6I0aAxUL67IrPltkyMrH4+1VDVFUjSZkwVkEmpB2SJy/N1O5mCGypF5PVtEve3pu2lzfWvUHX+l15rttzJgRoLKUUzfyacX/7+/n+5u9pG9CWZ1c9y7IjVW/FIoQz0jSNtOnTcWvVCq8ezr/toLq41q+P74ABZP64oMIb/m1ZWTJTJuqAs0VjG3Y2N466zGKFnmPh+GY4cuEm2MzCTJ5Z9Qx+bn683+/9q/aorGn83f35etDXRIZE8tLql/j5wM9mhySE4fLWraNw716CHhlV5zb4X8ynX19sGRkUHz1aofNsmZlY/R1Xe7G8JCkTxkrepn+UJy/NFfUA+IVBzIOQuBbQi8O+tPolTuWd4sPrPyTYM9jkIKuHj5sPn9/4OdENonl5zcvE7I0xOyQhDHXm2++wBgfjN2SI2aGYzr1tO0B/ErUibLKnTNQJJ7bpyYB37fwPv8Zw84JHloJ3KHx/J9run5m4fiJrTqxhfI/xtb7Rt5erF58O+JR+Yf2YsH4CX27/Eq2MpVwhapqCffvI/esvAh98AIubm9nhmM69TWuwWChM2FvuczRNk6RM1BFSyd951GsKo3+Fhp349tcnmbtvLqM7jubutnebHZlDuFvd+aj/R9za8lY+3fYpr6x5hWKb1DUTNVvad9NQnp76JneBxcMDtxYtKNibUO5z7Ll5UFKCVTb6i1qtMBvOHJClS2fiFciSvmOZFFiPm3NyeTo9s8zN/7WVq9WViX0m8kSnJ/j54M88/vvjZBZmmh2WEJVSfCqFzMWLqTdsWJ0sg3E5Hu3aUZhQgaSstHCszJSJ2i15B6BJ0VgnsunkJl5e/yZdQ7swIexmLH99CDPvhtTyfwOr6ZRSjI0ay9t93mZLyhYeXPKgFJoVNVL6zJlQUkLgyL+ZHYpTcW/XjuLjx7Fll6+Tydm+lxZJykStdq6SvyxfOoNDGYd4etXThPmG8fENk3G7/VO46R04tgE+6wX/fR5y605z7yGthvDVwK9IK0jjgSUPEH8m3uyQhCg3e24u6XPm4DtwIG5Nm5odjlPxCNc3+5d3tuxsUiYzZaJ2S94Gvg3Bt77ZkdR5BSUFjFsxDjeLG58N+Ax/d39QCno+AU9vhW6jYNN3MLkzrPkYzhzUf50+AKn79Jm0kkKzvwzDdW/QnZm3zMTF4sLr617HrlWumbEQjpbx4wLsWVkEPTLK7FCcjnu43pGkvPvKzjYjd8akTNosCeOc2CZLl05iwf4FJOUk8fWgrwnzvaj9iHcw3PqB3obp11fgt1f1XxcLbgcjF4FvA8cE7SDN/ZvzbNdn+fdf/2bp4aU1sqOBqFu0khLSvv8ezy5d8IyS77EXcwkNxervX/6ZsvP3lCUnV2doFSZJmTBGUS6c3gcdhpodSZ1XZCti6q6pdK3flZ4Ne17+wJB28MBcOBoH6UdAWQClz6gVZsHyl2HabTDyF/Br6KjwHeLWlrfyw54f+HjLx9zY7Ebcre5mhyTEZWUtXUZxUhKhL71odihOSSmFe3g4BbJ8KUSpkzsBTZ68dAILDywkJS+Fxzs9Xr4TmvaETvdC5HCIvAeuuRu6PQIPzofsZJh2K2SdqN6gHcyiLDzf7XmSc5OZsWeG2eEIcVmFBw9y8vXXcY9oj+8NN5gdjtPyCG9H4b59aDbbVY+1Z2ai3NxQHh4OiKxiJCkTxjhRWslfli9NVWwr5pud39AppBM9GvSo2mDNroUHf4ScFD0xyzxuTJBOokfDHvQL68c3O78hrSDN7HCEuERJejrHHn8C5eFBk08/RVmtZofktNzbhaMVFFBUjnZLtky9GbkztqiSpEwYI3mbXj2+lu0/qmkWHVxEcm4yj3d63JhvOE17wkMLICcVpt0CGbWrlMRzXZ8jvySfL7Z/YXYoQlxAKyri+FNPU3LqFE0+/QTXRo3MDsmpubdrC5TvCUxbhnNW8wdJyoRRkrfrS5dO+JNHXVFsL+brnV/TMagjvRv1Nm7gJtHwt4WQl6bXOCsuMG5sk7Ws15K72tzFvIR5HM48bHY4QgB6G6Dk118nb9MmGr71lmzuLwf31q3BaqVg79XbLdmyspyyGTlIUiaMUJQHqXtl6dJk/z30X47nHDdulux8Yd3gnu/0+7zyTWPHNtnYqLG4u7gzafMks0MRAtBbKWX+uIDgsU/gP+Q2s8OpESzu7ri3bEFhORqTO2vfS5CkTBjh1C7Q7LLJ30Ql9hK+3vE17QPb0zesb/VcpPWN+gMA66bAkb+q5xomCPIMYnTH0aw8tpJNJzeZHY6ow+x5eaR9/z0p//kPvoMHE/zkk2aHVKO4twunoByNySUpE7Xb8S36R6nkb5qlh5dyNPsoYzqNqd7NqwPfhIDmsPAJvddpLfFgxIOEeoUyeetktDrUG1Q4h6LERE5NfIf9/fpz6u2JeHXvTqN3JqIs8l90Rbi3a0vJieRzJS8ux5aZidXP+ZqRgyRlwgjxv0BQa/BrbHYkdZLNbuOrHV/RNqAt1ze5vnov5u4DQ7/QN/wvH1+913IgTxdPHr3mUbambCUuOc7scEQdkb9tG0cfe4yDg28ibeZMfK67jmazZtJ0+jQsnp5mh1fjeJyt7H+Fzf5aURFaXh7WejJTJmqjzCRIXAPXDJdN/iZZcngJR7KOMCZyDBblgH/STXtC76dhy3TYt7z6r+cgw9oMo75XfT7f/rnMlolqpWkaaTNmcuTBhyiIjyf4qSdpvXIFjT/8AK8uXZyyVENN4N7ubA/My+8rs2VlAc7ZjBwkKRNVtWsBoOkFR4XDFduL+WzbZ4QHhnNjsxsdd+Hrx0NoBCx6CpfiLMddtxq5Wd3OzZatS15ndjiilrIXFpI8/mVOTZiAT58+tFqyhJBx43ANDTU7tBrPJSQEa0DAFfeVOXM1fzAoKVNK3aSUSlBKHVBK/bOM9/sqpbYopUqUUndf9N5IpdT+0l8jjYhHONDOedCoCwS1MjuSOumn/T+RlJPEU52fcsws2Vku7jD0S8hLo83+rx133Wo2tM1QGng34PNtMlsmjGdJTyfxwYfIXKA/WRn22RSsvr5mh1Vr6O2W2lF4hcbk55Iyv1qalCmlrMAU4GYgArhPKRVx0WFHgYeBWRedGwi8BvQAooHXlFIBVY1JOEhqApzcobfnEQ5XaCvkyx1f0imkE9c1vs7xATSMhOueo37Kar1/Zi1wdrZsW+o2mS0Thspdt47AtydSdPAgjT+ZTMjTT8tG/mrg0S6cwv37L9tuyZZRmpTV4j1l0cABTdMOaZpWBMwB7jj/AE3TjmiatgOwX3TuYOA3TdPSNE1LB34DbjIgJuEIO+fpTaylCbkpYvbGkJKXwtOdnzZvD0rv/6PQLQB+fQVqyczSna3vpIF3Az7b9pnMlokqy9+1m6N/f5Sjox5B8/Sk+dwY/AYONDusWss9vB1aYSFFiYllvm/Lqv3Ll42B83uvJJW+Vt3nCjNpmp6UtegrrZVMkFecx9RdU+nRsAfRDaPNC8TNmyPN74ekDbDnZ/PiMNDZ2bLtqdtZd0Jmy0TlFB44QNJTT3Pk7rsp2LmT0H+8wJmXx+uV50W18Ti72f8ylf3tTr6nzMWAMcr6Eb28P16W+1yl1GPAYwD169cnNja2nJeonJycnGq/Rk3mm5VA1/Qj7A29nZMO/HOS+6JbnrmctII0emu9Tf/zyPHtSZjXL1h+eYkNp7zRLK6mxmOEQC2QAGsA7/z5Ds/Wf7ZGPg0n/1bM4/3LYryXLEFzdyfv1lvJu3EAJzw95Z44QnExoRYLCb/+Rq6X1yVve2/fgbdS/Ll5M1gsTndPjEjKkoAm530eBpyowLn9Lzo3tqwDNU37CvgKoFu3blr//v3LOswwsbGxVPc1arQlS8DqTvjQFwj3cNxPHHJfILMwk3//+G/6hfVj1IBRZodDbGws3nd+ALPuoZ/XQej5uNkhGSItIY03497Eva071za+1uxwKkz+rZjDlp3N/qeexrt/fxq+/RYuAf/bJi33xDEOtW6Nb34+Tcr4sz65+k8y/fzof8MNgPPdEyOWLzcCbZRSLZRSbsC9wKJynrscGKSUCijd4D+o9DXhzGwlsHsBtB0MDkzIhG767ulkF2fzZGcnasHSZqC+lP3Hu5CfYXY0hhjaeiiNvBvxzsZ3KCipPU3YRfXKWbUKrbiYoEcfvSAhE47j3q7dZQvI6s3Inff/rSonZZqmlQBPoidT8cBcTdN2K6XeUErdDqCU6q6USgLuAb5USu0uPTcNeBM9sdsIvFH6mnBmh/+A3FS45h6zI6lzMgoymBE/g8HNBxMeGG52OP+jlN6CKT8N/vrI7GgM4Wp15bVrX+Nw5mE+2lw7viZR/bKWLcelfn08o6TtnFk8wsMpOXmSkvT0S95z5r6XYFCdMk3Tlmia1lbTtFaapr1V+tqrmqYtKv39Rk3TwjRN89Y0LUjTtA7nnfutpmmtS399Z0Q8oprtnAfu/tBmkNmR1Dk/HfiJ/JJ8xkSOMTuUSzWKgsgREPe53oapFri20bU80P4BZu2dxdrja80ORzg5W04OuX/9he/gQVLuwkQeHTsCULBz5yXv1YmkTNQhxfl6r8uIIeDqYXY0dYpdszNv3zy6hHahTUAbs8Mp2w0v6x9XTjA3DgM90+UZWvm34pU1r5BZeOVGx6Juy1m1Cq2oCL+bpLKTmTw7dgCLhfztOy55z5aZ4bTNyEGSMlFR+5ZBUY4sXZpg3Yl1HMs+xoh2I8wO5fLqNYUej8HOuZB+xOxoDOHh4sHE6yaSVpjGG+vekNpl4rKyli/HJTQUz6gos0Op0yze3ri3bk3+jkuTMntGptMWjgVJykRFrf8K/BpDcxMqyNdxMQkxBHoEOrbHZWX0eAJQsKH2tF9qH9SecVHj+DXxVxYfWmx2OMIJ2XJyyV39J76DZOnSGXhEXkPBjh0X/BCl2e3YsrOdthk5SFImKiJxLRxdC9c+DRar2dHUKSdzT/JH0h8MbT0UN6ub2eFcmX9jiLgDtvwAhTlmR2OYUR1G0SW0C2+vf5vjOcfNDkc4mZzY2NKly8FmhyIAz8hIbJmZFB89eu41e04O2O2yp0zUEqvfB69g6PI3syOpc+bvm4+madzTroYsG/ccC4WZsH222ZEYxmqx8vZ1b6OhcdtPtzFs0TBeWv0S3+z8htVJq8kuyjY7RGGi7OXLcAkJwbNLF7NDEYBnJ/3p1/OXMJ29GTlIUibK6/gWOLgCeo0Dt0urJIvqU2wvZsH+BfRp3IfGPjWkC1mT7tC4q/4kpv3ilrc1V2OfxkwdPJW/RfyNBl4N2JKyhY+3fMy4FeMY/stwsoqyzA5RmMCem0uOLF06FffWrVFeXuTv+N8TmM7ejByMqegv6oI/P9ALxXb/u9mR1Dmrjq4iNT+V19q9ZnYoFdNzLPw4Gg78Dm1rT/mUDkEd6BB0rqoPWUVZbEjewAt/vMDra1/n/X7v18i2TKLysmNj0QoLZenSiSirFc+ICPJ3bD/3mrM3IweZKRPlkRIPexdD9BjwcN5HiWuruQlzaeTdiD6N+5gdSsVE3AG+DSHuM7MjqVZ+bn7c2OxGnuz8JL8m/sr8/fPNDkk4WPay5VhDgmXp0sl4dIqkcE889qIiwPmbkYMkZaI8/vwQXL2h5xNmR1LnHM48zPqT67m77d1Ya9rDFVZXfWb10CpI2Wt2NNXukY6P0KthL97d8C770/ebHY5wEH3pcjV+AwehrDXs32gt5xnZCa24mMLSlks2ScpEjXfmIOyaD91GgVeg2dHUOXMT5uJicWFom6Fmh1I5XUeBiwes/8LsSKqdRVl4+7q38XH14R9//IP8knyzQxIOkPPHH2iFhfgOlqVLZ+MZeQ3AuSKyZ5MyKYkhaq41k8DiCtc+ZXYkdU5+ST4/H/yZG5veSLBncLnPKzp6lNNffMmR++7n5FtvU3zqVDVGeRXeQRA5HLbPgbza39Y22DOYiddN5FDmId7d8K7Z4QgHyFq2HGtwMF7dupodiriIS4MGuISEnNtXZsvIRHl6YnFz3rJCkpSJy8tMgm2zoctD4NvA7GjqnLXH15JdlM1dbe+65D1N09CKirDl5FKSnk7RkSOc+W4ah+8ZzsFBg0mdNAl7QQHps2ZxcOAgTr45wbzkrMfjUJIPW6abc30H69WoF6OvGc2P+39k6eGlZocjqpFWVETOX3/hO2CALF06IaUUHp0iKSh9AtOWleXUS5cgT1+KK4n7HNCg9/+ZHUmdtC55HZ4unnQN7UpJaio5q1eTExtL7voN2LOzoYx2Px4REYT+4x/43XwTro0aUZSUxJkvvyQ9JoaMuXOpd8/dBI15HNf6oY77Qup3gBb99Ar/daTw8LiocWw6uYk31r1B59DONPCWH2pqo/wdO9Dy8vDu09vsUMRleF4TSc7vK7BlZjp9M3KQpExcTkmRXvgz/Da9n6FwuEPb/2RsQhBJP91Pwa5dgD4d7zd4EC4hISg3N5SrG8rdHYuHO55du+LeosUFY7iFhdHwzTcJGvO4npzNnUfmwp8JfuopAh98AOXq6pgvptsomPcwHPkTWvZ3zDVN5GJx4e3r3uauRXfxyppX+HLgl1iULEzUNrlr14HFgnd0tNmhiMvw7BQJQP6OnU7fjBwkKROXs28Z5J2Bzg+aHUmdUnzqFFn/XcKZRT/xj71H0RSoTlGEPPN/+PTvj3u7dpWqgeUW1piGb75B0KN/5+Rbb5Hy7rtkLviR+q+84pj/UNreBG6+sGNenUjKAJr4NuGFbi/wZtybxCTEcF/4fWaHJAyWu3YtHh07Ov3sS13m0bEjKEX+ju3YMzNxa97c7JCuSH50E2XbNgt8GkDL682OpE4oSU3l6COPcKD/9aS89x45tnymDbBg+flbms+ZTfDjj+MRHl7loqRuTZvS5IsvCPtsCvbcPI7+bSTH//EiJadPG/SVXIarJ0TcDvGLoLigeq/lRO5pew+9G/fmw00fkpiVaHY4wkC27Gzyd+7E+9peZocirsDq44Nbq5YU7NiJLTPLqZ+8BEnKRFmyT8H+X6HTvWCVyVRHSPv+e3LXbyB43DhaLVvKvBe7Edc3mLZtehh+LaUUvjfcQMv/LiZ47BNkL1vGkQceoCQ11fBrXeCae6AwC/Yvr97rOBGlFK/3eh1Xqyvj/xqPzW4zOyRhkLyNG8Fmw7vXtWaHIq7CM7IT+Tt21Ig9ZZKUiUvtnAuaDaIeMDuSOkErLibjp4X49OtHyJPjcG3WjLjkOHo06FGt+5Asnp6EPP00Tb+fTknqaY6O/ju2jIxqux4t+oJPfdgxt/qu4YTqe9dnfI/xbE/dzne7vzM7HGGQ3LXrUB4eeHaOMjsUcRWekZHY0tPRCguduhk5SFImLqZpsHUmhHWHkLZmR1Mn5Kxeje30aerdrZe+OJhxkNP5p+nZqKdDru/VuTNNPv2EosOHOTpmDLac3Oq5kMUKHe/SZ2HzqzH5c0K3tLiFgc0GMmXbFBLSEswORxggd906vLp1c+qaV0J3drM/OHc1f5CkTFzsxBZIjYeo+82OpM7ImP8jLiEh+PTtC8D6k+sB6NHQ+KXLy/G+9loaT/qIgl27SRo3DnthYfVc6Jq7wVak7y2rQ5RSvNLzFfzd/Pnnn/8kszDT7JBEFRSfOkXRwYN495L9ZDWBe5s2KA8PAKz1JCkTNcm2WXpbnI6XFiwVxis+lULOH3/gf+edKBd9/17ciTia+DahsU9jh8biO2AAjd6ZSN6GDRx/5lm04mLjL9KoCwS2qnNLmAABHgFMvG4iR7OOMnr5aNIL0s0OSVRS7tp1AHj3lv1kNYFyccGjQwdAZspETVJcADvnQfsh4OHcf3Fri8yFC8Fup95dwwAosZew8dRGh86Snc9/yBAavPYaOatWkfzqa2hlFKitEqX0Df9H/oKsE8aOXQP0atSLyTdM5kjWEUb/Opoz+WfMDklUQu66tVgDA3FvK1s8agrPSH0JU5IyUXMkLIGCTFm6dBDNbifjxx/x6t79XO2cXad3kVucS8+GjtlPVpaAe0cQPHYsmT/9ROaCBcZfIHI4oMGuH40fuwbo3bg3nw74lGNZxxi9fDSn86u5HIkwlKZp5K5bh3fPniiL/BdaU/hc3x+XkBBcGzt2BaKi5G+U+J9tM8EvTG+JI6pd3sZNFB89em6DP0BcchwKRXQDcyuEB48bi1evnpx8cwIF+/YZO3hQK30Zc+c8Y8etQXo27MlnN37GidwTjFo2ipS8FLNDEuVUdOAAttTTUp+shvGOjqbNn6tlpkzUEFkn4OBKvTZZHehN6AwyfpyPxdcX30GDzr22Pnk94YHhBHgEmBgZKKuVxv/5DxYfH44/+xz2vDxjL3DNPZC8HVINTvhqkO4NuvP5jZ+TkpfCqGWjOJ5z3OyQRDnkrivdT3at7CcTxpOkTOi2zwHNLkuXDmLLyiJ7+a/43XYrFk9PAPKK89iWus3UpcvzuQQH0/j9/1B06BAn33jT2ME7DgNl0Wvi1WFd63fly4Ffkl6YzkNLHmJfet1NUmuK3LXrcGvWDNdGjcwORdRCkpQJXcJSaNxVX1oS1S5z8WK0wkLq3XX3ude2pGyhxF7iNEkZgHfPnvr+soULyVjwk3ED+zbQi8nunKfXxqvDokKjmH7TdBSKh5c+zOZTm80OSVyGVlxM3oYNeMnSpagmkpQJKM6HE1uh+XVmR1JnZMyfj3v79nh0iDj32vrk9bhaXOlcv7OJkV0qeOwTePXowck33qBw/37jBu50H6QfgUOrjBuzhmoT0IYfbvmBIM8gxvw2hpVHV5odkihD/o4d2PPypD6ZqDaSlAk4vhnsxdBUvtE4QsGePRTuiafeXXdd0GA8LjmOqNAoPF08TYzuUspqpfH7+v6yE//8l3FlMjoM1dsurZtizHg1XCOfRnx/8/e0DWjLs7HPsmB/NTz5Kqokd+06sFjw7mFOyRpR+0lSJuCovnGVJuY+8VdXpH3/A8rTE/8ht517Lb0gnb1pe+nRwDm/2buEhBD6/PMU7N5NzkqDZnFc3KH7o3Dgd0iJN2bMGi7AI4BvBn1Dr4a9+H9r/x+HMg6ZHZI4T+66dXh07Oj0T/CJmkuSMgFH4yCkPXgFmh1JrVd88iSZixdT7+67L/jGfnYfkVlFY8vDf8htuDVrRuonn6LZ7cYM2u0RvYNE3GfGjFcLeLl68fZ1b+NicWFOwhyzwxGlCg8eJH/bNnz69DE7FFGLSVJW19ltcGwDNHWezeW1Wdr070HTCBw58oLX95zZg1VZaR/U3qTIrk65uBA89gkK9+4l+/ffjRnUO0jfW7Y9BnKliOpZgR6BDG4+mEUHF5FbXE0N4kWFpE6ahMXTk4CHHjQ7FFGLSVJW16XsgcIs2U/mALasLDJiYvC7+Wbcwi6sKr0nbQ+t6rXC3epuUnTl43frrbg1b87pT6cYN1vWcyzYCmHjVGPGqyXuDb+X3OJcFh9cbHYodV7+tm1k//Y7gaMfwSXA3BqConaTpKym2jkf0hOrPs7ROP2jzJRVu/Q5Mdjz8gga/cgFr2uaRvyZeNoHOu8s2VnKxYXgcWMp3LeP7F9/M2bQkLbQZhBs/FrvvyoAiAyOpH1ge+YkzDG+B6koN03TSPngQ6xBQQRdNMMthNEkKauJtvwAP46GmAfBVlK1sY6uA99GUK+pMbGJMtkLC0n74Xu8e/fGo/2FyVdKXgppBWlOvXR5Pr9bbsGtZUtOTzFwtqzXOMhNrdOtly6mlOK+8Ps4kHGATac2mR1OnZX711/kbdxI8BNPYPH2NjscUcsZkpQppW5SSiUopQ4opf5ZxvvuSqmY0vfXK6Wal77eXCmVr5TaVvrrCyPiqdVO7oQlL0BAczi5Q59dqCxNg8R10KwXnFeaQRgvc9EibKmnCfr76Evei0/TnzyMCIq45D1npKxWfbZs/36yly83ZtAW/aB+R33Dv8wKnXNTi5vwc/Njzl7Z8G8GzW4n5cOPcA0LI2D4PWaHI+qAKidlSikrMAW4GYgA7lNKXfy/y2ggXdO01sBHwLvnvXdQ07So0l+PVzWeWq0gE+b+DTwDYPTv0PpGWDlB71tZGZnHIPuE7CerZprdTtrUb/GIiMCr56XLxPFn4lEo2gW0MyG6yvG76SbcWrcidcoUMGK2TCl9b1nKHikmex5PF0/ubH0nK4+ulKblJshaupTC+HhC/u9plJub2eGIOsCImbJo4ICmaYc0TSsC5gB3XHTMHcD00t/PBwYoJVMzFaJp8PM4fR/ZPdPAJwRu+Q/YS2DZJZOT5SP7yRwiZ+VKio4cIejvoynrr/2etD0092+Ol6uXCdFVjrJaCRk3jqIDB3HfbFBboGvuBu9QKSZ7kRHtRlCilTB/33yzQ6lTtKIiUj+ejHu7dvjdeqvZ4Yg6woikrDFw7LzPk0pfK/MYTdNKgEwgqPS9FkqprUqpP5RS0ufncuI+g/hfYOAb/0uiAltC3xdgz8+w79eKj5m4Ftz9ILRmLJvVRJqmcebrb3ANC8N30KAyj6kpm/wv5jt4MO5t2uDz3yXG7C1zcYfox/RisvsNeiguvQ4AACAASURBVIigFmjq15TejXszf998iu3FZodTZ2T8+CPFR48S+tyzKItsvxaO4WLAGGXNeF28KeRyxyQDTTVNO6OU6gosVEp10DQt65KLKPUY8BhA/fr1iY2NrVrUV5GTk1Pt1ygvv8x4ora9wpngnuwu7ADnxaXsUXTzCsOy4Ek2dv8EewVKKnSPX0GBd2t2rv6zGqKuHs50X8rD9cABArdvJ+vee0n6669L3s+2ZXMq7xRuGW416us6y73vddSb+i1xH0+msHNUlcez2K6hs08LPOf8jS1d3iXPWx5AAehY1JE1+Wv4ZOkndPHuUq5zatq/FWeiCgoI+mgSttat2WS3X/A9tyrknjgfp7snmqZV6RfQC1h+3uf/Av510THLgV6lv3cBTgOqjLFigW5Xu2bXrl216rZq1apqv0a5FOVp2vvhmjapk6blZ5R9zKHVmvaan6b9/nr5x809o5/zx3vGxOkgTnNfyunEyy9re7t01Wx5eWW+/1fSX1rHaR21DckbHByZMezFxdqOPtdph+66W7Pb7cYMmnFM095rrWmTIjUt57QxY9ZwJbYSbfD8wdrIpSPLfU5N+7fiTE599JG2p124lrd1q6Hjyj1xPo66J8AmrRw5lRFzshuBNkqpFkopN+BeYNFFxywCzhZ4uRtYqWmappQKKX1QAKVUS6ANIM3ezrd7ob4Zf8gk8LhMv7UW10Gn+2HNZEjZW75xj23QP8om/2qj2Wxkr1iJT7++WDzLbjJ+9snLdoE1Z5P/+ZSLC3mDBlKwaxd569YZM6h/GNw7C7KS9QdbSoqMGbcGs1qsDG83nM2nNrP79G6zw6nVipKOk/btd/gNGYJnVNVnf4WoiConZZq+R+xJ9NmweGCupmm7lVJvKKVuLz1sKhCklDoAPAec3ZneF9ihlNqO/gDA45qmpVU1plply3QIbKWXDLiSQW+Cqxf8+UH5xj26Diyu0Kh8SyGi4vK3bcOWlobvjTde9pg9Z/bQxLcJfm5+DozMWPk9e+ISEsLpr6pQnuViTbrDHZ9C4l96CRgpk8HwtsOp516PSVsmmR1KrZby/vtgsRD63LNmhyLqIEN2L2qatkTTtLaaprXSNO2t/8/efYdHUXUPHP/OtrRNDykkoUOA0EPvRZAqIgpIFUWwIiD6iii+omLh/amADURFRUQQaSK9E3rvMYSEkFBC+qZtkt35/TGAIGmQ3Z3dZD7PwxPZnZ17cCE5e++55958bIYoimtu/neeKIpPiKJYRxTF1qIoXrz5+ApRFMNFUWwqimILURTXWiKeCiPpvJQ8RYwpvY+Ymx/U7wfRm8rWUDZ+P1RtBjrH2fHnaAxbtiJotbh17lzsNY5a5H8XrRafsWPJ2b+f3JMnLXffJkOg4xTpg8kBpYWhXqfn2cbPsv/qfvZdsdCspOIuOYcPY9iwAd9x49AGBckdjqISUraU2LOjP0mzWU2Hl+36sN6Qlw6X95d8XUEeXDmqtMKwIlEUMWzZgmu7tqj1+iKvyTBmkJCV4DCd/EviNWQIKk9PkhcssOyNu78N9fvDxjchaoNl7+2AhtYfSpBbEHOOzlGOXrIw0Wzm+qwP0QQG3nMUmkJhK0pSZq8K8uDEEmjQX+pJVha1u4NaB1HrS77uyjEw5UO19uWPU1Ek49/RFFy+jHuP4pcuo1KjAGjo4/gtSdR6N3xGjCBry1aMFy5Y7sYqFQyaD4FN4PexkGihnmgOykntxIvNXuRMyhk2XXqANjiKYmWsXEne2bP4v/pqsTWgCoW1KUmZvTr/J+SmQYv7OADXyR1qdCo9KYu/ufQR2ubB41OUyLBlMwgC7t27FXvNrSL/+r71bRWWVXmPGong4kLKtwste2MnPYxYDm5V4JchkFq59wL1r9WfOl51mHdsntK3zEJMWdkkffY5Lk2b4tFfaRSrkI+SlNmrI4uk8y1LK/D/t7A+kBoDydHFXxO3G/zCwM23+GsU5WLYuhWXZs3QVCl+lvNsylkC3QLxcfaxYWTWo/H2xnvIE2SsW0dBYqJlb673h5ErQDTD4sGQnWzZ+zsQtUrNxOYTuZR5iZXRK+UOp0JImT8fU3IyAdPfLPLUDYXCVpSkzB4lX5ASpxajpeWb+1Gvt/Q16q+in0+JgZjt0GBA+WJUFKsgMRHj2XO4P9SjxOvOpVaAIv9/8Rk7FgSBlO9/sPzN/erCk0uls16XDIX8HMuP4SC6hnaluX9zvjnxDbmFuXKH49AKEhNJXbQIz4GP4NKkidzhKCo5JSmzR0d/BJUGmo28/9d6hUJA4+KLog98A2qtdJyNwioMW7cC4N6j+KQspyCHuIy4ClHkfydtYCCe/fuT/scfmHOtkCxUawODF0q1ZSueKdtO4wpIEAQmtZjEjdwb/HLuF7nDcWg3vvgSBIEqkybJHYpCoSRldqcwH44vkWa83AMe7B5hvaUdmDn/avmWmwbHFkPjJx783opSGbZsxaluHXQ1ahR7TVRaFCJihSjy/zfPRwYg5uaSVcSxUhbRYAD0+USaDf59LBQarTOOnWsR0IIuIV34/tT3pOWlyR2OQzJeuEDG6tV4Dx+utMBQ2AUlKbM3UesgJxkixj74PcL6SLU30f/anXVkERTkQNsXyhWioniFaWnkHD6MvoSGsSDVkwEVbqYMwLVVK9ReXhg2WfFQ8Tbj4eEP4dwaaSnTmGW9sezYpBaTyDXlMnPfTKVFxgO4MWcOKhcXfCcoKwcK+6AkZfbmyI/gGQq1i9+1V6qg5qAPuHsXZmE+HJgPtbpCYKPyRqkoRtb2HWA2l9gKA6Smsb7OvlRxKWO7EwciaDToe3Qna/t2zPlWPCKp3Qsw8CuI3Qk/P3rvzHAlUMe7DhObT2RL/BZWXVgldzgOJffkSQybt+Dz9Fg03t5yh6NQAEpSZj/S4mDVi3Bx+80Cf/WD30ulkpY/L2z959zAs6vAcBXavWSRcBVFM2zZgiYoCOfwkpclz6Weo4Fvgwq708ujVy/MWVmWOw+zOM1HwJCf4OoJWNQPDNesO54dGhM+htaBrfnw4IfEZ8bLHY7DSPr0M9Q+PviMeUruUBSK25SkTG4ZCbB2EsyLgFPLpaXF9i+X/75hfSDfIJ0dKIqw7wupDUbtkncEKh6cOSeH7MhI3Hv0KDHZMpqMxKTHVLidl3dybdcOlV5P5iYbNDhtMEDqY5Z2Cb5/WNqdWYmoBBUfdPwAjUrDtN3TlN5lZZC9dy85+/fj99wE1Ho3ucNRKG5TkjI5iKK0e+yv12Buc6n4PuIpeOU49P4QtBboJl2zC2hcpF2YlyKlmYR2L9x/iw1FmWVFRiIajaW2wohOi8YkmmjoW/GK/G9R6XTou3Uja+s2xEIb7JCs1RXGrAHDddg43frj2ZlAt0BmtJ3ByeSTfHvSggfDV0CiKJL06WdoqgbhNWyY3OEoFHfRyB1ApWEqkJKjc3/C+XVguAKCGpoNhy6vg1c1y46nc5V+UEWth/R4cPWFJkMtO4biLob161F7eeHasmWJ190q8q/vUzE6+RfHvVdPMteuJefQIdzatbP+gCEtocMrsPMjaDOh0p3t2rtmb3Yl7GL+yfm0r6ocoVYcw6bN5J0+TdCsWah0OrnDUSjuokyb2MK10/BpA/hpoDQrFtwCHv0aXrsAA7+wfEJ2S1hvyIiHv9dDq3GWmYFTFMlkMGDYug2Pvn0QNCV/1olKjcJd606wPthG0clD37EjgouLbZYwb+kwEdyrwoY3wGy23bh24s02bxLkFsQbu98gz5wndzh2Ryws5MacOehq18Zz4CNyh6NQ3ENJyqxNFGH961KLiqGL4fUYGPaLNEPmauXjdW5191frpKRMYTWGTZsQjUY8Hyn9G31UWhRhPmEVtsj/FpWLC/rOnTFs3oJoMtlmUJ0bPPQOXDkGp5bZZkw7otfp+aDjByRmJbLHYKU+cQ4s7del5F+8SJVJryCoy7GZSqGwEiUps7Zza6Rly+5vSQXJOhsWlboHQoNHpKUcvb/txnUA5txc4sePJ/aJIaQsXEj+5cvlul/G6jXoqlfHuWnTEq8zmU38nfY3YT5h5RrPUbj36okpOZncY8dsN2jjIVC1BWz5L+Rn225cOxEREEHrwNbsMuyi0Fw5TzwoSuGNG9yYMwe39u1xL6WPoEIhFyUps6aCPNj0NviHQ/PR8sQw9Gfo9b48Y9spc34+CS9PJHtPJGJhIUn/+z9ievYi9rHBJC/4loLr1+/rfgVXrpBz8CAeAx8pdfbrsuEyuYW5hHlXjqRM36Urgk5n2yVMlQp6fyS1gImcY7tx7cjIBiNJM6WxNX6r3KHYjeufzEY0Ggl4+60KP0utcFxKUmZNB76G9EvQexaolT0V9kAsLOTK1NfI3rOHoPdmUmvlH9TesgX/118HrYYbn35K7ODHMcbGlvmeGWv/BCjz0iVQaWbK1Ho33Dp2lJYwbdlxvlobCH8MIudKbWcqmc4hnfHT+LH47GK5Q7EL2fsPkLl2Lb7PjsOpZk25w1EoiqUkZdZiuA67/g/C+kq7IBWyE81mrs54B8OmTQRMewOvwYMB0IUE4/v0WGr+9hs1V68Gs5n4p5+hIDGx9HuKIhlr1uASEYEuJKTU66NSo9AIGmp71S73n8dRuPfqSeHVq+SdOmXbgXu+K9VybnnXtuPaAbVKTRf3Lhy/cZzTyaflDkdWYn4+1957D21ICL7jleOUFPZNScqsZfv7UJgLPd+TOxIFN3sTffwxGX/8gd+LL+IzZkyR1zmH1aPadwsxZ2dz6emnKUhKKvG+eWfOkh8TU6ZZMpBmymp61cRJ7XTffwZH5d6tG2g0GGy5hAnSrub2L0kF/wlHbDu2HWijb4Ob1o3F5yr3bFnKjz+SHxNDwPQ3UTk7yx2OQlEiJSmzhqsn4ejP0HoC+NWROxoFkDJ/Pqk//oT36FH4vfRiidc6N2hAtQXzKbyRzOVnnqEwLa3YazPWrEbQavHo/XCZ4jifer7S1JPdovb0xK1tWzI3bbb9odkdJ4OTJxyqfA1VXVQuDKoziI2xG0nKKfnDRUVVcOUKyV99jb5HD+nDgUJh55SkzNJEETa+CS7e0OU1uaNRAOa8PJK//gb3nj0JeOONMhX5ujRrRuhXX5J/KZ7Lz47HlJV1zzViYSGZ6/5C360bak/PUu+ZlpdGUk5ShW8aWxT3h3pQEB9P/n3U6lmEkzuEPwpn11TKnZjD6w/HJJr4Leo3uUORxfUPPwRRJPDNaXKHolCUiZKUWVrsLojbDd1uJmYK2eUcOYJoNOL1xOMI93HMlFvbtgTPnUPe+fPEj3kK48W7E4rsyEhMKSllbkJ5q8i/nne9sgdfQeg7dQIga9cu2w/edBgUZEunaVQyoR6hdAntwvKo5RhNRrnDsamcQ4cwbN6C3/PPow2u2I2aFRWHkpRZ2tUT0tfGT8gbh+K27Mi9CFptqccfFcW9a1dC5s4hPyGB2EGDSFm06HYj1IzVa1B7ed1OOEoTlVq5dl7eSRscjK52bbJ37bb94KFtwas6nPjV9mPbgVENRpFmTOOvi3/JHYpNpS39DZWHBz5jZGpHpFA8ACUps7S0WGmGzMVL7kgUN2VHRuISEYHK1fWBXu/evTu11q7BrX17kj76mEujx5B75gyGrVulY5XKeH5eVGoU/q7++Dhb+SQHO6Xv1ImcQ4cw5+TYdmCVSpotu7gDMq/Ydmw70CqwFfW86/HzuZ9tX9Mnk8K0NAybNuH5yCNKcb/CoShJmaWlxoK30gfHXhQkJWGMisKtQ/kOaNb6+xPy1ZdU/fgjjNHRxA1+vMzHKt1yPq3yFfnfSd+5E2JBAdkHDth+8CZDARFOLbf92DITBIGRDUYSnRbN3it75Q7HJjJWrkIsKMBriLJioXAsSlJmaWmx4KMkZfYiZ98+APQdOpT7XoIg4DlwILXWrkHfoweubdqUeqzSLfmmfGLTYytlkf8tLi1bIri6kr1bhiVM39oQ0hqO/yptxqlk+tbqS6h7KO/vf5+cAhvPVNqYKIqkL1uGS/PmONerfPWbCsemJGWWZCqA9MvKTJkdyYqMRO3jg1N9yyVD2oAAQr/8guo/LirzcS0x6TEUioWVsp7sFpVOh1ubNmTt2i3PMlrTYXDjHFw7afuxZeakduK9Du+RmJXI3GNz5Q7HqnIOHSI/Lg6vIUPkDkWhuG9KUmZJGZdBNCkzZXZCNJvJ3rsPt/bt72vXpTWcTz0PUKmXL0FawixISCA/Ns72g4cPArUOTiy1/dh2ICIgguENhvPLuV84fO2w3OFYTfqy5ajc3cvcO1ChsCdKUmZJqTdbJigzZXbB+PffmJKTcbPA0mV5RaVF4aJxIdQ9VO5QZOV2c6dq9m4ZWmO4+kC9h6W6MlOh7ce3AxObTyREH8KMvTMq5DJmYVoaho0bpQJ/Fxe5w1Eo7puSlFlS2s2kTJkpswvZkZEAuLUvX5G/JUSlRlHXuy5qlVruUGSlCwlBV7MmWXK0xgBo+iRk34CYbfKMLzNXrSszO8zksuEy847Nkzsci8tYvfpmgb+ydKlwTEpSZkmpsaBxBn2g3JEokJIyp7p10Qb4yxqHKIpEpUZR37vyFvnfSd/5ZmuM3FzbD16nJ7j4VNqeZSC1yBheX1rGPHK94pwJKhX4L8elWTOcw5QCf4VjUpIyS0qLA+8aUl8khazMubnkHD5iF0uXV7OvYigwVOoi/zu5deqMmJ9PzsGDth9co4NGgyHqL8jLsP34duKVFq8QrA9mRuQMcgtlSI6tIPfIEfIvXlRmyRRlV5iPd+pxMJvljuQ2JXuwpNRYKSlTyC7n8BHE/Hy7SMpuF/krSRkArq1aIri4yLuEWZgnnYdZSd1axow3xPNO5DuYRfv5ofSg0pYtkwr8+/SWOxSFozi3hqYn34HYnXJHcptFkjJBEHoLghAlCMIFQRDeKOJ5J0EQfrv5/AFBEGrc8dy0m49HCYLguNtlRPHmTJlST2YPsiMjEXQ6XFtGyB0KUalRCAjU9aordyh2QeXkhFvr1mTJ0a8MILgFeITAhc3yjG8nWgW2YnLEZNbHreeTQ584dLf/wrQ0DBs24jlggFLgryi7g9+S6xwINbvIHclt5U7KBEFQA18CfYCGwJOCIDT812XPAGmiKNYBPgM+vvnahsAwIBzoDXx1836OJytJOvRYKfK3C9mRkbi2jLCLb9BRaVFU96iOq/bBjnmqiNw6d6IgPp78uDjbDy4IUKsLxO62q2ULOYwNH8vohqP55dwvLDy1sFz3EkWRM8lnuJp11ULRlV3KN98g5ufjNXSozcdWOKirJ+DyfhKD+9pVyZElImkNXBBF8aIoivnAUmDgv64ZCPx4879/B3oIUtfNgcBSURSNoijGAhdu3s/xpMVJX5WZMtkVXE/CGB1tF7suQVq+VJYu76bv3BlAviXMmp0hNxWun5ZnfDshCAKvtnyV/rX6M/fYXFb8veK+Xn8rEfu/w//HwyseZti6YQxcPZAtl7ZYKeJ75Rw7RupPP+M9/EmlwF9Rdge/Ba0r1wJ7yB3JXSyRlAUDl+/4fcLNx4q8RhTFQiAD8C3jax2D0g7DbmTvlc73s4d6MkO+gcSsxEp9vFJRdKGh6GrUkG8Js6aUFNpTLYlcVIKKmR1m0iG4AzP3z2Rr/NZSXxObEcvco3Ppt7Ifw9YNY/HZxdTxqsPM9jOp61WXyTsms+DkAqsviZrz87n61ttoAgOpMuVVq46lqEByUqV+hU2GUKjVyx3NXTQWuEdR58z8+19icdeU5bXSDQRhPDAeICAggB07dtxHiPcvKyvrvsaoEbud6gjsOhmHqEq0XmCVXFneF48//kDn7s7+q1fh+nXbBFaMC3kXADAmGNmRskPWWKzlfv+t3KKvVRPX3XvYuX49ogzLzK1dgsk9vJJT+Y1tPrYt3O/7Mkg1iARtAlO3T6W7R3eq6qoSpA3CX+uPRtCQZcriSPYRDmYfJD4/HgGBMOcwhvsMp4lrE9zUbpAIT7k+xRK3Jcw7No99Uft40vdJdCqdVf6MbqtXo4+JIe3ll0g8fMgqY1jSg/5bUVhWaPwf1C7M45DQ3O7eE0skZQnAnW3KQ4ArxVyTIAiCBvAEUsv4WgBEUVwALABo2bKl2LVrVwuEXrwdO3ZwX2OkLgHPELp072m1mBSlvy+i2Uz0m9Nx69KFRt272y6wYiSeS4Tr8HjnxwlwC5A7HKu4738rN+X6VSFu23bCLyfgN/5ZywdWmuw+uJ5YStdOHUCttf34VvYg70vrvNZM2j6JLTe23N6RqRbUhLiHkGhIlM5v9Q5japOp9K3ZlyquVYq8z0PiQyw8tZC5x+ZidDXyYacPCXQLxEntVN4/1m15584Ru2kzngMH0uDFFy12X2t60H8rCgsym2Duy1C9I636P2V374klkrJDQF1BEGoCiUiF+8P/dc0aYAywD3gc2CaKoigIwhpgiSAInwJVgbqADM2LLEBph2EXjNHRmFJT7aae7ETSCfxd/fF3lbeBrT1yaRSOW8eOpC5ahM+okbbflFGzMxxaCIlHoFpb245tp7ydvfmxz48YTUbiMuK4kH6BmPQYYjNi6Rbajf61+pepPlIQBJ5t8iy1PGsxbc80+q/sD0gHo7vr3PHQedDMvxnT20xHp77/WTSxoIAr06ej9vYmYNo9G/4ViuJFb4L0eOj5ntyRFKncSZkoioWCILwEbATUwPeiKJ4RBGEmcFgUxTXAd8DPgiBcQJohG3bztWcEQVgGnAUKgRdFUTSVNyZZpMVCWB+5o6j0cvbvB8CtbRuZI5Ecu3GM5v7Nkfa1KP7Nb8J4Lo0aTfrvK/AZNdK2g9foBAgQu0tJyv7FSe1EmE9YuTeo9Kjeg2Veyzhw9QCZ+ZkY8g1k5meSkpfCH9F/kJqbyqddP0V7nzOVKT8swnj2HMFz5qD28ipXjIpK5uACcK8K9fvJHUmRLDFThiiKfwF//euxGXf8dx7wRDGv/QD4wBJxyMZokM7TU3Zeyi5733601auhrVpV7lC4ln2Na9nXeCr8KblDsVuurVrhEhFBynff4T10CILOOrVHRQ/uA0FN4OJO6PK67catZGp41qCGZ417Hl96fikfHPiA13a9xuwus9GqypaYGS/GkvzFF7j36oXHw70sHK2iQkuOls697faW3ZYs2E9zDkd2qx2GsvNSVmJhITmHDuHWtp3coQBwPOk4AM2qNJM5Evvm99wECq9dI2ONDB32a3aGhIOQn2P7sSu5YfWH8UbrN9gav5U3dr1BobmwTK+7/vFHCE5OBL79lpUjVFQ4B78FtQ4inpI7kmIpSZklpN5sh6HUlMkq7/RpzNnZ9rN0mXQMF40L9XyU3kklcevYEeeGDUn+9ltEk42rF2p2BVM+XN5v23EVAIxoMIKpLaey6dImpu+Zjslc8vuftSeS7J278Hv+eTRVit5koFAUyWiA40sgfBDo7ffvjpKUFWFvTDLb4gtIzjKW7QW3epQpy5eyyt5/AADXNvaRlB2/cZzGfo3LvCxTWQmCgO+ECRRciidzwwbbDl6tLag0Ul2ZQhZjwsfwSotX+Cv2L2bsnVFsbzOxsJCkjz9CGxqK98gRNo5S4dCyU2DZaMg3QOvxckdTIiUpK8KG09f46Ww+rT/YwpML9vPzvjiSDHnFvyA1Fly8wUUpOJVT9v79OIWFofHxkTsUcgpyiEqNopm/snRZFu49H0JXuzYp8xcg2vLoIyc9hLSS6soUshnXeBwvNH2BNTFrmH9yfpHXpP++AmP0BfynTkVly9pDhWNLOALzO0PcHuj/OYS0lDuiEilJWRHefSSc9zq48FK3OiQZ8nh79RnazNrKcz8fwWQu4lNcWqwySyYzs9FI7tGjuLW1j110p5JPYRJNNPdvLncoDkFQqfAb/yzGv/8my9aNHGt2hqvHITfdtuMq7vJc0+cYUGsAXx7/kk1xm+56zpSVxY25c3FpGYF7L6UXpKIMRFGqIfv+YRBU8PRGaDlW7qhKpSRlRRAEgVB3FVN6hbFlShc2TurMmHY12HDmGhvPXLv3BamxSpG/zHKPHUPMz8fVjurJBASaVGkidygOw6NfP7TBwSR/M9/qx/PcpWYXEM1wKdJ2YyruIQgC/23/X5pVacb0PdM5k3Lm9nMp8+djSk0l4D9vKO1lFKXLz4Y/xsNfU6FWV5iwE4JbyB1VmShJWSkEQSAs0J23+zekhq8r83fG3P0Dw1QAGQnKTJnMsvfvB7Ua11at5A4FkOrJanvVxkPnIXcoDkPQaPB9dhx5J0+Sc9CGR+aEtASNi7KEaQd0ah2fd/scb2dvJm6dSFJOEvkJCaQu+hHPgQNxadxI7hAV9s5UKNWPnVoutb4Yvkxqf+MglKSsjNQqgXGdanEiIYMDsan/PJFxGUSTMlMms5x9+3Fp1Ai1Xv7DZc2imZNJJ5Wlywfg+eijqL29SV20yHaDapygejul2N9O+Lr4Mq/7PAwFBiZum8jV2Z+AWk2VyZPkDk1h70QR/noVLmyB/p9Bl9dA5VhpjmNFK7PHI0LwddOxYNfFfx5MVXZeys2UlUXu6dO4trOPerIL6RcwFBiUpOwBqJyd8X7ySbK2b8d4MdZ2A9fsDDfOgUHeA+wVkjCfMD7u9DEFJ06Ts3EzulFD0AYGyh2Wwt7t+QyOLIKOkx2ifqwoSlJ2H5y1aka3q8G280lEXzdID95qh6HMlMkm59AhMJnspshfaRpbPt7Dn0TQ6Uj96UfbDVqzi/Q1brftxlSUqFu1bkyJqUumCwzz/JWXt77MroRdpfYyU1RSp36Hre9Co8HQfUbp19spJSm7T6PaVcdZq/pntiw1FjTOoFc+xcklZ/8BBJ0Ol+b2MTN1POk4vs6+hLiHyB2KQ9L4+eHxyAAyVq6iMC3NNoMGNZXa2pxba5vxFKUqTEvD51AMfo8+xsgW4ziZfJIXYxjEFgAAIABJREFUt75Iv5X9+P709xSYCuQOUWEv4iJh1fNQrT08+rXDLVneyXEjl4mPm44hLUNZdTyR65l50hFL3jUc+i+Bo8vevx+XFi1QOTnJHQog7bxUDiEvH98xYxCNRtKXLrXNgCo1NBshJWUZibYZU1GijNWroaCA4CfHMLHFRLY8voXZXWZTVV+Vz458xoi/RnAx42LpN1JUTKZCSDoHJ5bC0uHgVR2G/SLViDowJZN4AOM61sJkFvkhMk6aKVOOV5JNYWoqxqgou1m6TM5NJiErQWkaW05Odevi1qkTqb8swWws48ka5dV6PCDC4e9sM56iWKIokrFiBc5Nm+BcTzqmTKvW0rtGb75/+Hs+7/Y5V7OvMnTtUJZFLbNtCxWFfK6egNUvwvwuMKsqfNUWVk4ArSuMWO5QuyyLoyRlZWU2Q4HU1b+aryt9Ggfxy/44xLQ4pchfRjkHpKOV7Om8S0BJyizAd+xTmJKTyfxznW0G9K4OYX3h8A9QkGubMRVFyjt5EmP0BbwGDy7y+R7VerDikRU082/Ge/vf45Xtr5CWZ6OlboU8ki/ATwPh7Frp9Jw242HQAnh+H0w6WWHqupWkrDiiKE2NHlgAv42C2bXho1BY/RIknWdC51o4G1MQCrIrzF8GR5S9/wAqNzecG9lH/6LjScdxUjvR0Keh3KE4PNd27XAKCyN10SLbzYS0eQ5yU6WiYYVs0n9fgeDigkffvsVe4+/qz/ye85naciq7E3fz2JrHWBuzFrNow2O6FLaRnQJLnpA680/YAaNXQ6/3oelQCGgI6opzvrCSlBUlcg7t946RpkbXvwZXjkG93tD0Sakh3VdtaLLzWV7xPwJAoWd1mQOuvLL378O1VSsEjUbuUAApKQv3DUdbgb5JyEUQBHyeegpjdDTZe2zUbb9GR/APhwPzpQ9mCpszZ2eTuW4dHr17l9p3UCWoGBM+hl/7/UqAawBv7nmTJ9c9yaFrNmw+rLCugjypZiwjEYb9Cj615I7IqpSkrCguPqT6NIdHvoBXTsCkUzDoa3hkLkw+C92mw5VjjMyUak9OZDv+OrYjyty8mYJL8ei7dpE7FADyCvM4m3pW6U9mQZ79+qKpUsV2zWQFAdpMgOunlGOXZJK5YSPmnBy8nni8zK+p71OfJf2WMKvjLFLzUnl649NM3DaRuIw46wWqsD6zGVa/AJf3w6BvoJp9lKlYk5KUFaXFKM43mAwtRklF/HfuonPzhS6vw6TTFPSbw3fmAayK18kWamVVmJbGtXdn4tSwQbF1J7Z2JuUMheZCJSmzIEGnw3vECLIjI8n7+2/bDNpkiNQe48A3thlPcZf0FSvQ1ax53y1uVIKKAbUHsPbRtUxsPpEDVw8waPUg1sSssVKkCqvbMQtOr4Ae70Cjx+SOxiaUpOxBaZ3RtnqKI2GT2XA2GbNZWeqwpeuzPsSUnk7VWbMQtPaxVHiryL9plaYyR1KxeA0dguDkRNqSJbYZUOsCEU/B+XWQdsk2YyoAMF68SO7Ro3g9PviBW8o4a5x5tsmzrHtsHRGBEUzfM53FZxdbOFKF1Z34DXbNhhajpQ79lYSSlJXTw+GB3DAYORqv7PyxFcO27WSuXYvfhAk4168vdzi3Hb1+lFqetfBy9pI7lApF4+2NR79+ZKxegykz0zaDthoHCHBooW3GUwDSLBkaDZ4DB5b7Xn4ufnzV4yseqvYQHx/6mK+Of6W0znAURgNsnAahbaHfp3evVlVwSlJWiuyCbC5mXGTflX2cunHqnue71/dHp1ax/vQ1GaKrfITsbK698w5OYWH4TRgvdzi3mcwmjiUdo2VAS7lDqZC8RwxHzM0lY+VK2wzoGQINBsDRHyE/2zZjVnJiQQEZq1aj79oFjZ+fRe6pU+uY3WU2j9Z5lK9PfM1HBz9Sdmc6gr1fQE4K9J5VoXZWloV9bFmzMz+e+ZHFVxYzbck0sgqybj+uETTsHrYbve6fHUHuzlo61vVjw+lrvNWvgdLF3crcl/9OYWoqId98jaCzn1q+v9P+JqsgixYBLeQOpUJyCQ/HpXlzUpcswXvUKARbnKDR9nk4u0rqGN7qGeuPV8kZduzAlJKC1+NlL/AvC41Kw8z2M/HQefDT2Z/IzM/kvQ7voVEpP/7sUtYN2PcFNBwIwRFyR2NzykxZEVy1rvhr/Hmk9iNMjpjMh50+ZErEFArFQs6lnrvn+t6NAklMz+V0oo2WViqprF27cNm/H99nx+ESHi53OHc5cl1qjxIRUPm+idiK94gRFFyKJ3vPHtsMGNoGQlrD1pmQftk2Y1Zi6cuWowkIQN+xo8XvLQgCU1tO5eXmL/PnxT/5/W+lD53d2v1/UvPm7m/LHYkslKSsCE/Ue4Jn/Z9lWptpPN3oafrX6s+A2gMAOJty9p7rezYIQK0S2HDmqq1DrTRM6elcfXsGhVWD8HvhBbnDuceR60cI1gcT6KYcTG8tHr16oq7iR+ovv9hmQEGQtuGbTfD7WCjMt824lVD+5ctk79mD1xNPWK3noCAIPNv4WRr5NmLxucXKMqY9SrskHXPWfCT41ZU7GlkoSVkZ+bn4EeAawJmUM/c85+2mo20tHzYodWVWIZrNJL7+OoWpqWSMGYPKjpYtQTqn72jSUWWWzMoEnQ7vIUPJ3rWb/Es22hXpWxsGzoOEQ7D1XduMWQml//YbqFT31ZvsQQiCwOjw0VzKvMSuhF1WHUvxAHZ8KHXt7/IfuSORjZKU3Ydw33DOpdy7fAnQOzyQmBvZRF832Diqii/5m2/I3rWbwDenUVjd/k5PiM2MJTUvVUnKbMBryBBQq0lb8qvtBg0fBK2elepcztvoHM5KxGw0kr7iD9y7d0cbEGD18R6q/hABrgH8fPZnq4+luA/Xz0j1m63Hg2ewxW9/+Nphxm0cR05BjsXvbUlKUnYfwv3CicuMw5B/b+L1cHgggoAyW2ZhWZGRJM/7Ao9HBuA1bJjc4RRJqSezHW2APx69epH+xx+Yc2z4zfXhDyCoKax6XuldZmGGjRsxpaXh/aRt/n1rVVqGNxjOwWsHOZ963iZjKspg63vg5GGVnmQZxgz+s/s/HLh2gL/TbNSE+gEpSdl9aOgrHTJd1GyZv4czLap5K60xLKjgyhWuvDoVpzp1CPrvf+12Z+uR60fwc/Gjmns1uUOpFLxHjsBsMJCx9k/bDapxgicWSedhKvVlFpX261J01avj2ratzcYcXHcwLhoXZbbMXlzaB3+vh46vgKtljy0URZF3971LUk4SAAlZCRa9v6UpSdl9uJWUFVXsD9IS5tmrmcSn2Pf0qCMw5+eTMGkyYkEBwXPnoHJ1lTukIomiyOFrh4kIiLDbpLGicWneHKcGDUj75RfbNgP1qQUDv4DEI7D8KbgRZbuxK6i8qChyjx3Da9gw27Q5ucnTyZNH6zzKX7F/cSPnhs3GVRShIA/Wvw76AGjznMVvvyZmDZsvbeb5ps8DkGBQkrIKw8fZhyC3oCKL/UFqjQEouzAtIOmjj8k7eZKgD2fhVLOm3OEU60r2Fa7nXFeWLm1IEAR8Ro7A+PffGDZttu3gDQdK5/DFbIMvW8Ovw+HyQdvGUIGk/forgpMTXoMetfnYIxuMxGQ28et5G9YnKu61aTpcOwn9Pwedm0VvfdlwmVkHZhEREMGEJhPwd/FXkrKKJtw3vNiZslAfV8Kreih1ZeWU8t13pC1Zgs/YsXj06iV3OCW6VU/Wwl9pGmtLHgMG4NyoEVfffBPjxVjbDt5pCkw+Le0Qi98L3/WE7/vAscUQf0Bqfqkc51MqU1Y2mWvW4tGnD2ov2x9NVs2jGl1Du7L87+XkFebZfHwF0mHjhxZCu5egfl+L3rrQXMi03dNQC2o+7PghapWaEPcQZfmyogn3CyfeEE9mftGNYvs0CuRofDoXb2QV+byiZCnffU/S7P/h0bcv/q9OkTucUh29fhR3nTt1vStnTx25qHQ6QubOQdDpSJj4MqYsGx+F5OYH3d6ESaeh90eQHg+rX4Tve8H/6sBH1WB+Z9g4HYzK94KiZK5dgzknB+/hT8oWw6iGo0g3prP24lrZYqi0ki/AmolSg+aH/mvx23976ltO3DjBW23fIkgfBCAlZcpMWcXS0Kf4Yn+AIS1DcXfS8Pbq03Zx+G2hyYzJLH8cZSElZLPx6NuXqp98bLUmkpZ05PoRIvwjUAnKPyVb01atSvBnn5J/MZar06fL8+/NSS8dx/TKCXjpCAxfJiVpTYeBiw/s+xLmd4KEw7aPzY6Jokjakl9xbtgQ58aNZYujZUBLGvg04OezPyvNZG2pIBeWjwG1Dp74weLnW55NOcv8E/PpW7MvfWv9MwMXrA8mKSeJfJP9btSx/596duZWsf+ZlDO0CWpzz/P+Hs78p0993lp1mhVHE3k8IsTWIWLIK2BH1A02nb3OjvNJ5BaYqOrlQoi3C6HeroR4u9Cuti8ta1h2l0t5pHz/w82ErI/DJGTJucnEZcYxuO5guUOptNzatsX/1VdJmj2b1O+/x/cZmc6oVGvAr470605xe2Dlc/BdL+j8mvRLbf9/t60t9+hRjNHRBL43U9YNMoIgMKrhKN7c8yYrolfwRL0nZIulUln/Olw/DSN+B0/L/4zcGLcRQRCY3nb6XY+HuIcgInIl6wo1PGtYfFxLUL473CcvZy+C9cGcSS662B9geOtqrDqWyPvrztItrAq+eqdyj1toMhNzI5tTiRmcTszg7JVMREQ8nLV4umjxcNHi7qzhZEIGe2OSKTCJ+Ol19G0chK9eR0JaLpfTcth6PonkLCNshi71qvDaw2E0CvYsd3zlkfL9DyR98gnufXpT9ZNPHCIhgzvqyZRDyGXl8/RYck+dIun/PsW5YUPc2rWTO6R/1OgIz0fCX6/Bzo/gwhZ4bIF0UkAllr7iD1R6PZ79+skdCr1r9GbVhVXM3DeT5Jxknmv6nLKT2ppO/AZHf4KOU6BuT6sMEZUaRW3P2njoPO56PEQvJYAJWQkVMykTBMEH+A2oAcQBQ0RRTCviujHAWzd/+74oij/efHwHEATk3nyulyiKSeWJyRYa+jYsttgfQKUS+PCxxvSdu5v3153js6HN7nuMpMw8jsanceRSGkfj0zlzJYO8Aml63VWnpkGQBzq1iqsZeZy/ZiAzrwBDXiHVfV0Z26EmvRoG0LyaN2rVvd9csoyF/LL/El/vjKH/vD30axzE5J71qOOvv+84yyt7714pIevdm+DZsx0mIQMpKXPRuNDAt4HcoVRqgiBQ9YP3ib0QTeLkKdRc8TvaYMt3BH9gzp5SIlbvYfhzMnzbDcZugICGckcmC9FsJmvnTvRduthFqxutWss3D33Df/f9l69OfEW8IZ5327+LTm1fx7lVCBmJsO5VqNYeuk0v/foHdD71PB2D7z3YPsT9ZlJmx3Vl5f0J+AawVRTFjwRBeOPm7+86tOpm4vYO0BIQgSOCIKy5I3kbIYqiQxVchPuGs/nSZjKMGXg6FT3LVDfAnee71mHu1mgGNQ+mc70qpd43OcvIJxvOszcmhYQ0KU/VaVQ0DvZkeOvqNA7xoHGwJzX99EUmW2aziKqIx/9N76RhQpfaPNmmGgt3XWThnljWn75Ks1AvzCIUms0UFIoUmM1SAhjoQYMgDxpWlb56ulhu/T/522/R+Ps7zJLlnY5cP0LTKk3RqixbD6G4fyo3N0LmzSNuyFAuP/c81X9dglpv+w8ZJWo0GIIj4LuHYfFgeGYTeIXKHZXN5Z0+jSklBX3XLnKHcptWreX9Du9Tzb0aXxz/gqvZV/m86+d4Odt+V2iFJYrShxJzITz6ldWW8ZNzk0nJS6G+T/17nvNz8cNJ7VShk7KBQNeb//0jsIN/JWXAw8BmURRTAQRB2Az0Bhy2OcydTWTbVS1+qeSFrrX58+QVpq86xcZJnXHVFf+/+1h8Gi/8cpTU7Hx6NPDnqfY1aFHdm/CqHjhp1GWKqywJ2Z08nLVM6RXG6PY1mL8zhlOJGWjVKnRqFRq1gFatIiO3gO1RSSw/8s9f4hq+rnSr70/PBgG0qumDVv1gRe65p8+Qs28//q9NtbtDxkuTYcwgOi2aF5q9IHcoipucatYkZM7nxD87nsQpUwj96iv7S/S9a8DIFfBDHykxe3qDxTuY27usnbtAEHDreO9MhpwEQWBC0wmEuofyduTbjFw/kheavkDjKo0J0YcoS5rldXoFRG+Eh2eBj/V6T946OivMJ+ye51SCimB9sF23xRDKs2NJEIR0URS97vh9miiK3v+6ZirgLIri+zd//zaQK4ri/24uX/oCJmAF0tJmkQEJgjAeGA8QEBAQsXTp0geOuyyysrLQF/NJO8eUw38S/sMArwH08iy5j1ZUqokPD+bRp6aWoWH3Jh6iKLIzoZDFZ/PxchZ4ubkT1T3KloTZUrrRzOVMM/EGM1FpZs6mmCg0g4sGGvupaRGgoYW/Gp267N+4PBcuRHf6DMkfzkJ0cSnTa0p6X2zpdM5p5t+Yz8SAidR1rtztMOzlPbnFZfduPH5ZQk63rhiGDpU7nCJ5pZ2iycn/YnCvw4mmMzGry193+m/29r7c4vPhR4hqNWmvvyZ3KMW6mHeRhTcWYjBL5xzrVXpqONWguq46TV2bEqQLeqD72ut7Ym3a/AxaHXqJPOcAjrb4GATr/YzblLGJtelr+Tj0Y1xV9y6Pf5P0DemF6bxR9Q3Adu9Jt27djoii2LK060r9GCkIwhYgsIinyrogXNRP6VuJ1whRFBMFQXBHSspGAT8VdRNRFBcACwBatmwpdu3atYzDP5gdO3ZQ0hjzVswjzzOvxGtAmkaM4yS/HbpMrs6LtrV8aVfLl0bBnhSYzMxYfZplZxLoXK8Kc4c1w8vVMWaMcvIL2ROdzNZzSWw9n8TBa0Y8nDU82jyYoa1CCa9a8uaB/IQEYo4ew2fsU4T36VPmcUt7X2zl8KHDaFI0jHpoFM4aZ7nDkZW9vCe3de3KdZ0T/PADNTt0xGfkCLkjKkJXqBeK5/Kn6Jy0CIb8bPHlHLt7X4DCGzeIvnSJKpNeoamdxXanrnRltHk0F9IvcPLGSelX8knWZaxjXcY6OlTtwIgGI+gQ3OG+2uHY43tiEyvGgSkX3cif6GrlWso/d/5JcGEwfbsX3Yx234F9rI5ZTZcuXRAEwe7ek1K/C4ii+FBxzwmCcF0QhCBRFK8KghAEFFWkn8A/S5wAIUjLnIiimHjzq0EQhCVAa4pJyuxNuF84p5NPl+naN/s2wFmrZnd0Mh+tl6ZW3Z00eLpqSUjL5eXudZj0UL0i68TslatOQ6/wQHqFB2I2i+y/mMJvhy+z9NBlftp3iUbBHgxvXZ2hrUKL/HOl/rAI1Gp8Ro+2ffDlJIoiW+K30DqwdaVPyOyV/9RXyb90ieuzZqELDUHfxX7ql24LfxSyPoH1r8Ffr8KAOXJHZHVZu3YD2Of78S8alYb6PvWp71OfIWFDAEjJTWFF9AqWnl/KC1tfoIZHDUY2GEmYTxiGfANZBVm3v1bVV6VTcCfctJY9OsjhRG2AU8uh6zSbbG6JSo0qsp7slmB9MNkF2WQYM+yyZrC8H83WAGOAj25+XV3ENRuBWYIg3FrW7AVMEwRBA3iJopgsCIIW6A9sKWc8NhPuG87GuI2k56WX+sa6O2t5Z0A4AEmGPPZfTGVfTDIXkrKY0b8hvcKLmoh0HCqVQPs6frSv48e7OfmsPn6FpYcu8+bKU6w6lsinQ5sS4v3PNHJhWhrpK1bg2b8/2oAAGSN/MKeTT5OYlciEJhPkDkVRDEGtJnj2J8SNGkXi5CnU+H05TrVqyR3WvdqMh4zLsHcuNH5CaqFRgWXt2oXG3x+n+sX/0LRnvi6+jG8ynrHhY9l4aSOLzy7m/QPvF3u9TqWjfdX2PFT9IbqGdrVdoPYiLxPWTQH/hlILDCvLKcjhUualuxrG/tvtHZhZCRUyKfsIWCYIwjNAPPAEgCAILYHnRFEcJ4piqiAI7wGHbr5m5s3H3ICNNxMyNVJC9m0547GZO4v92we3L/Pr/N2deaRpVR5pWtVaocnKy1XHmPY1GN2uOiuPJTJj9Rn6zNnNB4Ma3/4zp/2yBDEvD9+nx8oc7YPZELcBjUpD92rd5Q5FUQKVmxuhX39NTM9epP+2jIBpb8gdUtG6vSnNJGx9Tyr8r6AF5WJBAdmRkXj06e3wRfNatZb+tfrTr2Y/zqScId2Yjl6rx13njl6rx03rRlRaFFsubWFL/BZ2JOxAI2gI1ASydPNSfF18pV/OvtTwqEGrwFa4auVvD1ImCYdh8wzQOElHJIW2knYVu9ycdzFmQXIU3IiCMyvBcFVantdYvzTn77S/ERGp71180n9nW4xGfo2sHtP9KldSJopiCtCjiMcPA+Pu+P33wPf/uiYbiCjP+HK61ZvqTMqZ+0rKKgtBEHisRQgtq/sw6bdjTPz1GDvOJ/FOr1qk/fIL+q5dcarreAXyZtHMhrgNdKzasdh2KAr7oQ0IwLVlS7L3RsodSvG0LlKn/3VTIHoz1Ct585CjyjlyFHNWlkMsXZaVIAjF/mCPCIggIiCC11u9ztmUs2yJ38L+C/vJMGYQkxFDSm4KBeYCQFoqbeHfgvZV29MxuCP1vOvZX+JakAvbP5CODtMHSknYzo+5XSLuWxcKjZAR/89r1DrpQ0eIbX7U39p5WVLvyDsbyNojO9sv7jg8dB5Uc6/GmZTiO/sroJqvK8smtGPetgvM2xaN64ZVjEhLw3ecTMfhlNPxpOMk5SQxOWKy3KEoysitQweSZs+m4No1tIF2WirQfJS0hLltJtR5CFQV7yzVrF27QKu1rxMXbEAQBML9wgn3C6dpZtPbReWiKJKZn8n51PNEJkYSeSWSz49+zudHPyfcN5xFvRfZT81q/H5Y/SKkXICIp6Dne+DsAUYDJB6BhEOQeBS0rhAxGqrUhyoNpBYwNjxW7HzqeTydPAlwLb4sxlXrio+zj932KlOSsnII9w3n+I3jcodh9zRqFZN71qNzbS+yhnxElE81zgkBPCZ3YA9gfex6nNROdAvtJncoijJy69gBZs8mO3IvXoPt9G+dRgdd34SV4+HsKmhkp3GWQ9bOnbi1aonKrZIXvt8kCAKeTp60CWpDm6A2TGEKN3JusDFuIx8f+pivTnzFlAjr12GVyGySlir3fQmeoTB6NdTq+s/zTu7S7+98TEZRqVHU965f6ixjiHuI3SZlFe/jmA018G3A1eyrZBgz5A7FIdQ9fxj/rGSOt+/PlOUn+e+aMxSYzHKHVWYms4nNlzbTOaSzsqPKgTjVq4e6ih/ZkXa8hAnQ+HFpdmH7B2AqlDsai8pPSCA/JqZCLV1aQxXXKoxsOJLBdQfz45kfOXHjhHzBiCJsmAb7voCWY+GFvXaTfBWl0FxIdHp0kU1j/y1EH2K3y5dKUlYOVVylo5PS8u457lPxL6Iokjx/AbqaNXlz1nM83aEmi/bGMWLhAW4YjFYfe0bkDMZuGMuMyBksPLWQjXEbOZdy7nZNR1kcvn6YlLwUetfobcVoFZYmCAL69h3I3rsX0WzHHwJUauj+lrREdMJhDzwpUtaOnYBjtMKwB1NbTsXf1Z+3I9/GaLLu98di7fsSDs6Hti9C/8+kWTE7FpcRh9FkLLEdxi0h7iFcy752X9//bUVJysrh1gn0mfmZMkdi/7K278AYFYXv+PHodFpmDGjI50ObcTIhnQHz9rDs0GXyC63zA/NY0jFWXlhJal4quxN3M+foHKbunMqQP4fwzMZnyCvMK9N91seux0XjQqeQTlaJU2E9bh07YEpPJ+/MWblDKVn9flC1Bez4SCqariCydu1EV706uho15A7FIeh1et5t9y6xGbF8efxL2wdwZiVsmg4NB0Kv4lt+2JPzaVKRf5mSMn0IJtHEtexr1g7rvilJWTnc2n2nLF+WTJol+wZtcDCe/fvdfvzR5sGseL49Pm46Xl9xkk6fbGPBrhgMeSV/ejGbRS7eyGLdyat8uf0Cf183lHj9D6d/wMvJi6X9l7J9yHYODD/A7wN+5z+t/sOxpGO8Hfk2ZrHkhLDAXMCW+C10C+2Gi6ZsR0Ip7Idbe2mHtN0vYQoC9JgBmQlw+Ae5o7EIc24uOQcO4tals9yhOJT2we3lWca8tA/+mAChbWHQAofZdBKVGoVOpaOGZ41Sr72zLYa9UQr9y8FTdzMpy1eSspLkHDhA3omTBL4zA0Grveu58KqerJvYkd3RyXyzM4ZZf51n3rYLPNm6GlX0TuQWmMgtMJFXYCIrr5CjF3K5snUjuQWm2/eYty2aWYMa81iLkHvGjkmPYUfCDl5o+sLtZMpV60qYTxhhPmHkm/P57MhnVPOoxsvNXy72z7D/irSVXVm6dEwaX1+cGjYgOzISv+fsvOlvra5QoxPs/h80HwlOjn1WYvb+/YhGo7J0+QCmtpxK5JVI3o58m+UDluNkhTNS75IcDUufBK9QePJX0NrJ7s8yOJ96njreddCqtKVee2dbjCpUsXZo90VJyspBmSkrm+Rv5qOpUgXPx4reUSYIAp3rVaFzvSqcuJzO/F0xfLv7IreOpteqBZy1alx1arzUMLRVKA2DPGgQ5IGXq5ZXl59gyrITHLmUxowBDXHS/HPY7aIzi3BWOzOs/rAixx4bPpZLmZdYcHIB1T2q80jtR4q8bkPcBty17nQI7lC+/xkK2eg7dCBl0Y+YsrJR6+14o4YgwEP/hYU9pCLrrnba9LaMsnbsRHB1xbVVK7lDcTi3ljEnbJnAl8e+ZEpLK+7GNFyDxYOlw8JH/A6uPtYby8JEUeR86nl6VLunbWqR/F390ag0JBiUpKxC0atd8TaISk1ZCXKPHydn/378X38dlVPpn/Kahnrx1YiI20uYzlo1WvU/0+fS4bHhd71mybg2zN4UxfydFzmVmMGXw1uCwsaZAAAgAElEQVQQ6uNKUk4Sf178k8frPo63szdFEQSBt9q+RaIhkXf2vkNVt6q0DGx51zVGk5Ft8dvoUa0HOrVjHBivuJdbhw6kfLuQnEMHce9m5y1NQlpCg0cgci5EjAV3xzuODMCUlU3munW49+iBSlfCv528DNj7BVw5CkFNIbglhLQCvX39wJRD++D2PF7vcX448wM1PWsyqO4gyw+SnQI/PQrZyTBmLfjUtPwYVnQ95zrpxvQy7bwEUKvUBOuDSTAk0JzmVo7u/jjGYrGdyvlrA198bcJ43f6KBe1F8vwFqD098R465L5e5+6sxd1Ze1dCVhyNWsW0Pg2YPyqC2ORs+s/bw/LDl/npzM+YRTOjw0s+9Fyr0vJ/Xf+PUPdQJu2YxNHrR7mceZmrWVe5kXODLZe2kFWQRZ+afe7rz6CwLy4tWiC4uJC9x87rym7p8Q6YjDe7pjumjFWrMGdl4TNqZNEXFORKieecprDrE0i/DJFzpCW0/9WBz5vAuqlgsr9dcrY0rfU02ldtzzt732F97HrL3jw3HRYPgrRYGP6bzbrvW1JUahRQtiL/W+y1LYYyU1YOxrg4tCZwOR0rHbOuuEteVBRZ27fj9/JLNmkY+XB4IPUD3Zn46zFe++Mg7nWX0sCzI/4upZ8z6unkyZfdv2TEXyMYs2HMPc97OXnROqi1NcJW2IhKp8O1dSv7L/a/xa+O1D398A/Q9gXp9w5ENJtJ+/lnnJs2waVJk7ufNBXC8cWw42MwXIHaPaQNDlWbQX4OXD0BiYelTvKHvpVqmxxkF6A16NQ6Pu/2Oc9veZ5pu6fhpHayzNm7xixYMgSun4VhS6CmY+4sP596HgGBet71yvwaX6dAjlw7ySfncmnc0oiv3sr1emWkJGXlYEpOAcDr/BWZI7FPKfPno3Jzw2dkMZ+SraC6rxurXuzA9G3zWJuQx+GTTehyfgcTutRiaKtQXHXF/5UP9Qjlt/6/cfzGcQrNhRSYC25/bejbsEwFpAr7pu/Qges7d5GfkIguJFjucErX5T9wYilsfReG/ix3NPcle88e8i9doupLs+9+wmyGZaMhap20RPnYgruTAZ0rVG8n/Wr/Mvw5BfbOg+odIKzyzla7aFz4sseXjN80nqk7pzKv+7zy1bgW5EkzkgmH4IlFDn3malRaFNU8qpXa1Pt6Zh4bTl9j3amrHM/MwcnfQIoxh8T0XCUpqwgKU6SkLDA6VeZI7I8xNpbM9RvwHfcMak/bHtxdYC7gQMpq2gS24an2g5m7LZp3157lo/Xn6VyvCr3DA+nRwB8v13trXIL0QQTpg2war8J23DpIP8Sy90aiG3J/S+qy0PtD+4mwYxZcPgihjjNbm/rTz2iqVMHj4X/9sN87V0rIHnoXOrwibWwoycOzpMRh5XPw3G7wqma9oO2cm9aNrx76inGbxvHK9lf4+qGvaRX4ABsoTAVSYhy7CwbNl/qRObBzKedo6NuwxGsW7Irhw/XnEUWo66+nT1g429LW82KrbJqEeNko0tIpNWXlUJiSDID/1VxM6ekyR2Nfkmb/D8HZGZ8x9y4FWtu6i+tIyk1ibKOxdKzrx7IJ7VjxfDuebF2N04kZvLr8BBHvb2HkwgN8uf0CG05f5UKSwWrNaxX2Q1erFpqgIMepKwNo9yK4+UtnEN7akmznjBcvkr1nD15PDkO4s8A/LhK2zoSGj5YtIQNp6XLIjyCaYflTUJhvtbgdgaeTJ/N7zidEH8KLW1/k0LVD93+TI4sgeiP0/R80LXpnuqMw5BtIyEootp5MFEU+3RTFrL/O0zs8kM2TO7N5Shee6yB9wEkttK9JFWWmrBxMySlk+7rhlpJNztGjuHe3wBp/BWDYvp2sbdvwn/oqGj8/m44tiiI/nf2Jet71aF+1/e3HI6r7EFHdh3cGNORkQgYbz1xj45lrzN4YdfsatUqguo8rfnonBAFUgoBKJX31ddPRsoYPrWv6UKeKHpWqDD9MFHZHEATcOrTHsGkzYmEhgsYBvgU66aHbNPhzMkSth/p95Y6oVGmLFyNotXgPHfrPg1lJ8PvT4F0DHplXtoTsFp9aMPALaXZnyzvQ+0OLx+xIfJx9+LbXtzy76Vme3/I8n3b9lM4hZWzOm58Du2ZDtfbQatz/s3ff4U1VbwDHvzezK91tWuhglLJnS9lQNgiIioKIgIqb5UBRQUUBt6Ai4g9FZaiIoCBToVCmCAXZq0CBLlq6m86M+/sjgKAFupPC+TxPn9rk3nveGJq+94z3VG2g1eBU5imAEldeyrLM9DXH+WZnHMPCA3nnvuYoL392Xykgm2ZKq75gS6EGfCLZJ1mWMaWnk96lPprNR8nfu1ckZYClsJCUme+gqV8fz1E3X/VYFeJy4jiddZqp7aYilfChL0kSLQPdaRnozsv9GmEoMhF3KY/Tl3I5k5rH6VQDWQXFWGQwWSxYzGC2yJy4mMvKA9a5g+5OasKDPenTRM/9YQEiQathXDp1Inv5CgqPHMGxVStbh1M6rUfBn1/ApmnQoA8o7fej25yTQ9bKVbgOGIDKy8v6oMUMK8ZYS1+M/AUcXMt+4SaDod3TsPsLCO4IjQdVbuA1jI+TD9/2+5anNj7FxC0T+aDrB/QO7n3rE/fMB0OKdR5ZWRJjO5RdlM2vsb8C0Niz8XXPmS0yU349zNK98TzWqS6vD2x83d8EnUaHm9aNdFN6tcZ8K/b7m23nLHn5yIWFyH7exNYC55i91MxKQpUr/auvMSYkEPTdt9cPW1STbfHbAEp91+iiVdE8wI3mATef9ybLMufT89lzLoO9cRnsOZfBpuMprD6UxEcPtETvWnMqX9/pnDt0AIUCw/YdNScpU6qsBWV/GgF/L4Lwx2wd0Q1lrfgFOT8fj2vLYES/a52/NPgL0De98cm30nu6dW7dyrHg1wI8gisecA3m4eDB132/ZuymsUzaOonpnabfsAA2YE2Kd34CIb2tie2/JOQmoHfW2/2ipkv5l1h8bDHLTi0jz5jH3fXvxtvxn1GZIpOZST8fYvXBJCb0COH53qEl3qQHuASQlmdfPWViTlk5mS/PJ1N7+3A8UKL42HEseXk2jsq2ii9cIP2rr3C96y6c27e3SQzbErfRwKNBpU/WlySJOt7ODA0P5MMHWhI9KZKZ9zZj77kM+n2yjQ1HRK26mkLp7o5jixYYtm2zdShl02iAdchpyztQaJ8Fq2WzmcwlS3AMC8Ox6eXkK3aTdbis9cPQekTFGlBp4IFvrfPLfn3a2gN3h3PVuPK/3v+jrb4tU3ZM4acTP9344D/nQkEm9Jh63cP5xnym7JhC/1/6039FfxYeXYih2FDFkZddSl4K0/+cTr8V/Vh4bCFdA7qyfNByZnaeCcDB+CzeWHWEdu9EsfpgEq/0b8QLfRqWmJCBdQjT3nrKRFJWTldWXmq9fTkeKIHZQv6BAzaOynZkWebizJlIKhW+kyfbJIbc4lz+TvmbbgFVv8eeJEmMaBfM2gldCPBw4ukl+5i8/BB5RaYqb1uoOJfIbhQePowpzb7ukm9KkqDvTMi7BDtm2zqaEhmiozEmJuI5cqT1AWMhrHkOfJtYJ5VXBo86MOAjuLDL2usj4KR2Ym6vuXQL6MaMv2bwxs43yDP+q5MgL82alDW5x1oP7rKTGScZtmYYq8+sZkTjEQS7BvNRzEf0Xt6bj2M+5mKefdxwHrx0kKFrhvLr6V8ZHDKYNfesYWan9zAV+jEv+gy9Z29j8Nyd/LQ3ni4NfPjh8XY83a3+Ta8Z4BJAhikDsx0l9yIpK6crH+aOvv6cqi0hKxTkx8TYOCrbMWzeTN7WbXiPH49a72uTGHYl7cIkm0o/4bUS1PdxYcUzHXk2sj7L9sUzaM4OzlyyvztM4XouXa3/Rgzbtts4kjKq3QaaD7XOq8qKt3U0/5Hx3UJU/v7oel3eg/CvLyE7Hvq/D2rHymuoxTBoep+11zBxf+VdtwbTKrXM7j6bJ5o/waozq7j/t/s5kHpNR8GO2WDMh+5TAOuN9LKTy3ho7UPkGfP4us/XvBLxCgv6LmDpgKV0qd2FxccW039Ff1acWmGjV2W1Pm49j214DAelI48Ef0bhxXsZu+g8Td/4nQGf7eD9DSdwd1Tz7n3N2TOlF3OGt6ZjyK0XmdXW1caMmdT81Gp4FaUjkrJyMl/uKXPW16ZQK2EMCaBg752ZlFkKCkiZ+Q7aBiF4PlzB4YkK2JawDTetGy28W9z64EqkUSl4uV8jfnyiPdkFRu77Yhe7ztSgHpg7kLZxY1S+vhi2brV1KGXX8w3r96i3bRvHv+Tv30/+3r14jh5lXdWanwHbZ0GDvlC3km+UJAkGzgIXPfzyBBTf2VNHrlAr1ExoM4Fv+n6DRbbwyIZH+OLAF5gyL8Ceryhu8SCnVLAhbgPPRz/P9N3Taevflp8H/XzdjiVNvZvyQbcPWHvfWiL8I3h799tsPL+x2l+PLMvMOzCPl7e9TB1dIzJin2bWumzWHEzCRavi0U51+Gx4a7a/3J3lz3RkeEQQbo6lnw8X4BKAhERKfkoVvoqyERP9y8mUlg6ShJveWsgwp3EA2vUxWIqLb77x7m0o84cfMSYlEbx4EZLaNhNELbKFHYk76FSrE0qF0iYxtK/nxcqxnXjsu72MWrCHd+5tztC2gTaJRbg5SZJw6daVnPUbkI1Gm/27LRf3QGvtsu0fQ/unobZ97FWY9uWXKD088LhSlHfbh1CcC73fqpoGHT3g3i9h4d3w+xQYJIYyrwjTh7H87uW8t+c95h2cx/rDC5H9vYjP2YXltx2ANYF7IewFRjcdjUIquX+mtkttZkfO5smNTzJ522Rce7nSzr9dtbyGInMRr+98nfVx62nm2pOYmB74u+pYObY1LQPcbjhPrCza+rVldtBsWvnaz4If0VNWTqb0NJTu7rg7ewJwqaEvcnExhYcP2ziy6pe9Zg2OLVvi1LYclaUryZG0I2QUZlTr0GVJAj2dWPFsRzrU9+LlFYd4d/1xLJaaUfDzTuPSrRsWg4H8fTVw+Kvz8+DsA79PtYuCsgVHjpK3bTueo0ejcHKCjLOw5yvr5H7fxre+QHnV7Wrdimnft9YabsJVOo2OmZ1n8mGbSbjlZxHqXJsnWjzB+13eZ/mg5ewavotHmz16w4TsCie1E3N7ziXYNZgJmydwNP1olcd+6NIhhq8dzvq49YSqh/HnX73oVN+P1eM60yrQvVISMgCVQoVSss1N/I2IpKycTGlpqLy9cFA6oFaoSapnrbuTX8IQZv7+v4kbOoyis2erO8wqV3Q2jqLjx3G9y7Z70m1L2IZCUtC5dmebxgHg6qDm20faMqJdEP/bepanluwj3VBk67CEf3Hu0AFJra6ZQ5haHXR/zTrZ/fhqW0dj3edWp8NjxEPWB6LeBqX66vylKtVjKvg1h1XjINc+JqXbk34nt7EkLYdZA79nXOtx3FXvLhp6NsRBVfoyPm5aN77s9SXuWnee3fQs57LPVUmsecY83v3rXR5e9zCZhdn45Y9l36HWjO/RgAWj2+LmVIN6tMtJJGXlZE5LR+nljSRJuGndSNMUoW3Q4D+T/U0ZGSQ+/zyFhw6R8t57Noq26uSsXweShK5fP5vGsS1hGy19WuKmrd59Nm9EpVQw455mvDGwCdEnU+k5ayvLYuKR7aBXQ7BSODvj1LZtzSuNcUXrUeDTyLr9kg23HiqKjSV340Y8Hh6BUqeDhBg4+qu1B0vnV/UBqLQwZIF1EvvPj1r3dRSskg/CkeXQ/lnQVaySpt5Zz/w+8wF4cuOTrDi1gnVn1xF1IYpdibvYn7L/vys+y2Br/FbuWXUPP574kR617iEn9jmSL9blfyPDeLFPw6uV+G93IikrJ1N6+tVq1W4aN3KKc3AMD6Ng/35kk7UsgmyxkPTyZMyZmbgNuY+8bdsx7KxBe+6VQs769TiGtUGtt13p3NT8VI5nHLf50OW/SZLEY53rsnZCF0J8XHh5+SEe+uovzorVmXbDJbIbxWfOUJyQYOtQyk6pgj4zIDPOOnxnI2nzv0JycrLu4CHL8Mfr1r06O46vviB8GsKgz6w9h1FVNIetJop62zr3rtOESrlcsGsw83rNI8+Yx7Q/pzF5+2Se2/IcT216itEbRtPr5158uPdDEnJL//tUaCpkyo4pjNs8Dhe1Cw8Hf8ja6Pa4anWsHNuRvk2rIbG3IyIpKydTejoqb2tS5qp1JacoB6fwcCz5+RQePwFA+vyvyNuxA/2UKfi9+Sbq2rVJ/eBDZLP91ESpiMJTpyg+fQbXu2y7F9/2BGtZA3tLyq4I1etY9lQHZt7bjCNJ2fT7dDtzomIxmcUG6Lbm0s1a084QXQOHMAFCekGdLrD1AyjKrfbmiy9cIGftWjyGDUPl4QEn11kTo8hXrEOs1anFA9a9HHfNgWO/VW/b9ihuO5zeBF1eBIfKG0Fo4tWETQ9s4o8hf7DqnlUsG7iMxf0XM7fnXLoEdOGH4z8w4NcBPL/lefal7Lvp6ECyIZlR60ex+sxqHm/2JI3Mb/DFBhOdQrxZObYTIb7V/G/IDoikrBws+fnI+fkovax1UNw0bmQXZ+MUHg5A/r4Y8v7aw6XPPsN14EDchz6AQqPB98UXKDp5kuyVK20ZfqXJWb8eFApc+/SxaRzbErbh5+xHA/cGNo3jZhQKa7HZqBe60buJno83nmLUN3vEXDMb0wQHo6lTp2bOKwNraYjeb0F+Guz6vNqbT//qKySVCs9HH7GWwFj/CniHQpvR1R4LAH3fsa5GXfkspJ22TQz2QJat+6S61oa2T1T65R1Vjvi7+FPPrR6NvRrTyrcVXQO68kHXD1g/ZD2PNXuMvSl7eWTDIzy49kHWnl2L0XL9sPK+lH08uPZBLuReYEaHj9m5N5wf9yTxdLf61vljZShtcTsRSVk5XKnmf2X40lXrSnZRNmq9HnVQELkbN5E46UU0wcH4vzXt6koRXf/+OLZsyaVPPsWSn2+z+CuDLMvkrFuHU7sIVN63LtJXVYrNxfyZ/Cdda3ettBU5VcnX1YG5D7Xhg/tbEHM+k0FzdnAwPsvWYd3RXLp1I/+vv2ru72TtMOtm3bvmgKH6imAak5PJWrkK9/uHoPb2ttYLM1y0lqmw1YbpKi08sNC6yGDZKCiuoe9pRZ1YA4kxEPkqqKt3X14/Zz8mtpnIxvs38nr71ykwFfDK9lfot6If3xz5huyibJadXMbjvz+OTqNjRMDHvLlU5lBiFp8+2IpX+je6Y+aPlUQkZeVwpZr/leFLN60b2UXZADiFh1Owbx+WXAO1P/kEhbPz1fMkScJ38mRMly6R/o3t5oBUhsJjxzCev2DzocuYlBgKTAV2O3R5I0PDA1nxdEckSeKBL/9k6Z4Ltg7pjuXSrStycTF5u/+ydSjl1+MNMBVahzGrSfqCb0CW8RozxlqT7PQma+V+W9dNcw+EIV9B6jFY87xdlAypVmYTRE239li2HG6zMBxVjgxtOJSVg1cyt+dc6rrVZfa+2XRf1p3pu6fTxCMcS8IEPl6XRQO9jlVjOzO4VW2bxWsvRFJWDleq+V8ZvnTVuJJvysdoMeLc3lpYz+/1qTg0DP3PuU5tWqPr14/0BQswptjP1g5llbt+PahUuPbubdM4tidsR6vUXleNuqZoHuDG6vGdaVfPk1d+OczLyw8Sn3GH3tnbkFN4OAonp5o7hAngHQJho60T/jOqvvSOYedOMn/4AfchQ1AXHIfod60JQNijVd52qYT0gm6T4dBSWDYSDJeqvk1ZhqwLcHSldegw5lsw2WB6wqGlkHYSerxuux7LaygkBV0DuvJ1n69ZPmg5PQL6U181hJ077yYjV8lnw1vz05Ptaeh3580fK4nt37EayJR2efjymp4ygJyiHDwHDEAbEoJDkyY3PN/3hefJjYri0mefUmvmzKoPuJJZhy7X49yxA0p3d5vGsTVhK2392uKoqsR99aqRp7OG7x6NYNbGk8zdcoZlMQm0DnJnYItaDGzhj961eoce7kSSRoNzp44Ytm5FluUaMQxeom6T4eBS2DwD7v+mypopTkgg6YUX0davj/7ph2BRH+uG4wNmWee42Ytuk61Dd1vegfPtrdsyNRlcOdcuyIT0M5AWC+mxkHwIkv62zu0DkJQgm2HbR9DlBWsRXZW2ctq+GWMhbHnX2lvZeFDVt3cL2flGDiZkcSghiwPx2RxKyCI1tyNqpcQzkfUY1z0EZ61IQ64l/m+Ugyn98vClp7Wav5vGmpRlF2fj5eh104QMQBMUhOeIEWQsXIjniBG3PN7eFB48iDEpCe/x1bjkvQRxOXHE58Yzqskom8ZRUUqFxEt9G/Fg2yDWHEpm9cEkpq85xoy1x2hX15Mnu9aje0Pfmpss1AAu3bqRu3ETRadO4dCwoa3DKR+dn7Ue1faPqqwchaWggITxE5BlmYBPP0ax+kmwmGHYYtA4VUmb5aZQWHc+CO0Hvz5tnWPW7H6460Nw8iz79RJiYOv7kLgP8tP/eVxSWktyhPaD2q2hVhvQN4Xzu6w9iGtfsO4B2vVFJEsVbruWnwG/PgU5CXDvvEpJkOMz8ll9KIm8IhMKSUKSJBQSKCQJDyc1vq4O6F0d0Ltq8XLWEp+Zz77zmew/n0nM+UxOp/5T/qeetzOdQrxpEeBGz0Z6grzs7N+LnRBJWTmY09NRuLkhXd7j8tqestLyfuZpsteuIem1KdRd9tPVa9UEOevXI6nV6Hr1tGkcW+Otw02RgZE2jaOyBHo68UxkfZ6JrM/pVANrDiWxfF8Cj30XQ8tAd57r1YDIUB+RnFUB567WOYm5UVE1NykDaz2qmG9g01sQ9FylXlqWZS5Om0bRiRMEzvsCzZHPIGk/DPsevOpXaluVyrcxPL4Jdsy2JlXntsOgT6FhKXchSTsNm9+GY6usW1s1GgjeDcCrAXiFgEewdWHBv9XvDvUi4cxma3K25nnaOtaCel9DnU6V+Qoh6YB1mDYnGQZ8XKEN4M0WmeiTqXz/1wW2nExFlkGlkLDIMqXdMc7NUU2bIHfuaVWLVoEeNA9wu2NXU5ZVhZIySZI8gZ+AOsA5YKgsy5klHLcBaA/skGV54DWP1wWWAp7AfmCkLMu2K01dSqa0fwrHgnVOGUBOcemTMqWbG/7TppEwdhxp87/CZ9zYSo+zKsgWCznrN+Dctau1ercNRcdH09izMX7Ot19xwRBfF57rFcrY7iGs2JfAnM2nefTbvbQKdOf53qF0beAtkrNKpPb1xblTJzIXLsJzxAiUbvaxM0SZObhB10nw+2voNS2ByEq7dOb3P5C96je8x43DJX8t7F8EXSZB44G3PtnWlGro9rK1N2vlM/Djg9Y5cP3etRZXLUluijWJ2/cdqBysKxk7jAOtS+nblSQI6Qn1e0DsH0i/jIfv7oLwx6DXW+DgWvHXtn8RrJ0Ezt7w2AYICC/VaXFpeaQbisgtMmEoNGEoMpGcVcCK/YkkZhXgo9MyvnsIwyKCqO3+z/QQWZYxWWQy84tJzSkiJaeQlJwiUnML8XdzICzYg3reLiju4BWUFVHRnrJXgChZlt+TJOmVyz9PLuG4DwEn4Kl/Pf4+MFuW5aWSJH0JjAHmVTCmKndtNX/4p6fsygrM0tL17InroEGkffklul49cWjUqFLjrAoF+/ZhSk3Ftb9t97rMKMzgwKUDPNniSZvGUdXUSgUPRgRxX5sAVuxP4PPNpxn9zR6a1XbliS71uKu5P2qlWK9TGXxfmkTcvfeR9uX/0E9+2dbhlF/bx+HEWhqd+AxOti99j9BN5MfEkPLee7h074538BnYs8CaoPSYWgkBVyP/FvDEFusQ77aP4Gy0tdcstK/1+cJs68bmR1fCmSiQLdYEqtvL4OJb/nYlCUL7srftZ3Q1boO/5sHJDdZ5buV9fwoy4Y+p8PcSa4/ckAXWxOwWzqXlMX3NMaJOlLzQrGN9L6YMaEzvJvoSP1skSUKtlPDVOeCrc6BZ7Rp6A2OnKpqUDeafW7GFQDQlJGWyLEdJkhR57WOS9Ta/B/DQNedPowYkZea0NLRNGl/9ubxJGYD+tVfJ+/NPkl59zTqMqbbvLt6MRYuRHB3RdY+0aRzbE7ZjkS23zdDlrWhUCoZHBDGkTQC/7E9g/vazTFx6gA82nOTRTnV4MCIIFzFhtkIcGjXC7b57yVyyBI+HhqMJrML5P1VJpYXhS8md2x3XZaPh4eUVGs6yFBWROOklNLVrU6uHEmnfAug4AXq/bV8T+0tLpbFu5t7wLmuR2R+GQrMhUJxnHWo0F4NrgLXoatsxlTo0a1E6QM93rO39Ns7aY1eni7V3y685+LUAz3qgUP73ZFmGtFNwagOc+h0u7LYuJugyyfp6SjrnGnlFJj7fcpoF2+NQKyVe6tuQ5rXdcHFQodOqrN8d1OJzxMYq+n9fL8tyMoAsy8mSJJXlVsILyJJl2XT55wSgRhQpMaWn4+z1zx2Ji9ranV2W4csrVB4e+L91ZRhzPj5j7XcYMzcqityNG/F54YXr6q/ZwtaErfg6+tLEs2YtkqgojcraczY0PJDNJ1KZv/0sM9Ye59OoWHo08qVTiDedQ7yp5V4zV6Pams+EieSsW0/qrFkEzJ5t63DKz8GVQy3epPOpmfDjcBj1GwSUr35Y1vLlmC5eJOipcJRHF0Gn56DXtJqZkF2rVit4cou1ttuO2eBaCyKehCb3WFcvKqqwBzogDJ7cCrs+g2MrrbsxXKl4r3YG9yBrOQvFNV85SZB13nqMvrl1EUPjQdbXcRMWi8zqQ0m8s+44KTlF3NemNq/0a4SvWNltl6Sb7UsFIEnSJqCkSTtTgIWyLLtfc2ymLMslDtBf7imbdGVOmSRJPsCfsiyHXP45EFgny3LzG5z/JPAkgF6vD1u6dOktXlrFGAwGXFxKmDtgNKIfP4HcwXeTf80Q3vix1EkAACAASURBVMvxLxPhHMH9nveXqz3XBd/gsG8fGa+9iikgoLxhVxmpoACvt97G4uxMxmuvgvLmd2VVxWAwoHXW8kr8K0Q4RzDMa5hN4rAnZ7LMRF0wcSTNRM7lGZl+zhJNvZR08FcR4lG179UNf1dqKOc1a3BZs5aMl1/CWK+ercMpN4PBgKe6iNZ/v4bKZOBAq3fIcwku20WMRrxffwONUxENupzhQvD9xNV9uOYnZP+iMBdhUWiq/HXd6HdFshhxzovHxRCHiyEObdElJNmCJJuvfpmVTmR4tibdK5wiB59btmW0yPyZZGJ9nJHkPJk6rgoebqyp8s+Dmqa6Pr+6d+++T5blW074u2VPmSzLvW70nCRJKZIk+V/uJfMHylINNQ1wlyRJdbm3LABIukkc84H5AOHh4XJkZGQZmiq76OhoSmrDmJjIaSC0bVvcr3nea4UXLj4uRHYpX1ymli05O+huaq34xS6HMS/OmElmdjb1//clji1b2iyO6OhoVA1UFF8oZni74TWukn9ViMQ6GVOWZU6m5LIjNo2dp9PYdTaDqAuFtA5y5/HO9ejbVI+qCuaf3eh3paayRERwZs9eav/+B8FLf6yxCyqio6PpGDkQIsLgm360PTETRq+2lm8opcxv53ExK4taLdORIicTHPkqwTX0/4c9qOjvSmk2tMsuMPLDXxf49s84UnOLaezvyiuD6jGoRS0x+b4E9vb5VdFP6N+AKzvPjgZWlfZE2dpFtwW40rVUpvNtxXS1mr/XdY9fu9VSeag8PPCf9iZFx4/b3RZMBQcPkvn993g89JBNE7IrouOjcVQ50s6/na1DsSuSJNHIz5XHu9Tj20cjiJnai7fubkpGXjFjf9hPtw+j+Xr7WQxFpltf7A6mcHLCZ+JECg4eJHfDBluHU3EedWDkSuuk9a97w5ktpTpNPrqW9Lmf4OBtxnni19Z5SyIhs1spOYW8s+44nd7bzPsbThCq17F4TATrJli3LxIJWc1Q0aTsPaC3JEmxQO/LPyNJUrgkSV9fOUiSpO3Az0BPSZISJEm6vNSFycALkiSdxjrHbEEF46ly/1Tzv/6exVXjWq45ZdfS9eqFrncv0ubNw5iYWKFrVRbZaCT59TdQ+fri83zl1j0qVzyyTHR8NB1rdUSrrIYK2TWYs1bF6I512PxiJPNHhhHg4ciMtcfp9fFW1h9O5lZTF+5kbvcMRtuoEakfz8JSbPdVem7NtxE8sRncasOSIbD36xsfazbBxjfJfn8MRoMC78lvIzW5u/piFcrkzCUDk5cfosv7W/h6+1kiG/qwZnxnljzeji4NRF3DmqZCE/1lWU4H/lNBVJblGODxa37ucoPzzwI1atPCq9X8S+gpS85LrvD19a++imHHQC6++y6Bn39e4etVVPq331F06hQBcz9HaQfzhhKMCaTkpzAucJytQ6kxlAqJPk396NPUj33nM3l95RGe+X4/3Rv68PbgZgR6isra/yYplehffokLj40hc8n3eD1mJ3s6VoR7EIz5A5aPgbUvwqVT0Pcd64RyWYZLJ+H0Rji8HDnxAGlnQ9A2DsJloJi3aW+KTRZ2nknjpz3x/H7sIhqlgmFtA3miSz1RKb+GE2tfy8hcRcOXV6hr1cL72We49PEscqOj0dlwrLv4/HnS5s5F17s3up62rd5/xeH8w0hIYi5ZOYUFe/DbuE4s+vM8H/9xkl6ztjKhZwOe6FIPjUrUO7uWc8eOOHfsQMa33+L58IgatevGDWl1MPxH2PgG/Pm5tcSCRzCcjoLseOsxPo3J8R2PMW0Ftd98VvS0VANZljmdamD9kYtsOHKR1NxCWgS40ybInTZBHrQIdEelkNh66hIbjlxk0/EUcgtNuDqoGBsZwiOd6uDtIkYObgciKSsjU1o6Cp0Ohfb6X4Arw5eVsaGx1+jRZK9cRcqMmTi3b4/CofqXLsuyTPKb05DUavRTp1R7+zdypOAILX1a4ulQjr3rBABUSgWPda7LXc39eXvNUT78/SSrDyYxe1grGvtXQoXx24jno48S/8ST5Kxfj9vgStrM2tYUSug707pV0NoXrXs61utm3QkgpBeyiz9pg+5G26CB3dyM1VSyLGO2WCvgG80WsoosnL1kIPdyBf3cQiOHErLZcPQiZy/lIUkQFuRB11AfDiVks/lygVeFZC0kXWSy4Oaopm9TP/o386NTiDcOarGa8nYikrIyMqWn/WfoEqw9ZWbZTJ4xDxdNxYb5JI0Gvzfe4MLo0aTP/wqfCdW/8XfWsp/J370bv7feQq3XV3v7JbmYd5H44niGBA6xdSi3BT83B74YEUbU8RQmrzjM3Z/v4IXeDXmyaz2UYlIwAM6dO6OpX5/0hQtxvfvu26vXKOwRaHovqBytBVUvy123juKzZ6k9exZSVdbqug2cTs1lwY44zlzKI7/YRH6RmbzL34tMFowWC/+Zurll63U/KhUSHep58WinuvRtor+uflh2vpEDCVnsP59JTqGRHo18aV/PS+zicRsTSVkZmS+lofT+b1J2Zf/L7OLsCidlAM7tInAdOJD0r77C7e5BaOrUqfA1S8uYlETqBx/g1KE97kMfqLZ2b2VbwjYAugd2t3Ekt5eejfX88bwHU349zPsbTrD5RAofP9BKzE3BuqLVc9QoLr75JgUxMTi1bWvrkCqXw/Vb5FgKC7n0xRdo6tVD16ePjYKyf0cSs5m75TQbjl5Eq1LQIsAdX50DTl5KnDUqHDVKHNRK1EoJtVKBSimhVii4cO4MYc2boHNQ4XK5in6AuxNuTiWXQHJzUtMt1IduobeuSybcHkRSVkam9HS0oaH/efzarZZqu1TOxgS+L7+EITqaizNmEvjV/Gq5S78ybCnLMv7Tp9tVz8CW+C34qHyo61bX1qHcdjydNXwxog0rDyTyxqqj9P90G68NaMzwtkF3/FJ6t8F3c2n2bNIXLrz9krJryGYziZMmUXzmLAFfzEWyUYFoe7b/QiZzomLZcvISOq11PtejnergVcr5XNGWC0S2rhEb1wg2IpKyMrJusXTjnrKKlsW4ltrXF58JE0h55x1yfvutWua0ZK9cRd727einTkVjw50FkgxJxGXHEZ8bT3xuPAm5CexO3k0X5y52lSjeTiRJ4t7WAbSr68VLyw8y5dcjrD6YxLv3taCut2231bIlhYMD7sOGkT5/PsUXLqAJCrJ1SJVOlmVSZs7EsCkK/WuvoesueqOvlZVfzDvrjrMsJgFPZw0v9W3IyA7BuDrYV5FvoeYTSVkZWIqLseTklDh8WZFNyW/G46Hh5PzxO8lvvImmTp0qLd5qTEkl5d13cQwLw+Oh4VXWzs2kF6Qza98sfjvz29XHtEotAS4BdKndhc7mzjaJ605Sy92RJWPasSwmnhlrj9Pvk2081yuUJ7rUrZIdAWoCj4ceIv2bb8hYsgS/116zdTiVLn3+V2T+8COeYx7Dc9RIW4djN2RZZuWBRGasOU5WgZGnu9VnQs8QnDTiT6dQNcS/rDK4Ug5D5fXfzS6qKimTVCoC5szh3NBhxI8dR91lP6GuVatS2wDrh8/Ft95CLiqi1swZ1T7B12wxs/zUcj79+1MKTAU82uxRugV0I8AlAB8nHxSSNZ7o6OhqjetOJUkSw9oGEdnQlzdWHeH9DSdYcyiJtwc3pU2Qxx3XW6nW++Lavx/Zy1fgM348Sp3O1iFVmqyVK7k0ezauAwfi++KLtg7HbpxLy2PqyiPsOJ1Gq0B3ltzXXKxOFqrcnXnbW07/VPOvnuHLK1QeHgTO+wK5sJD4Z57FbMir9Dayfv4Zw+bN+EycWK2LCgCOpB1hxLoRzPhrBk08m7Bi0ApeCHuBMH0Yemf91YRMqH56Vwf+NzKceSPakJJTxJB5f9L3k218vf0saYYiW4dXrTxHjcaSn0/W8hW2DqXSGHbsJHnq6zh1aE+td2aK1ZaAyWxhXvQZ+n6yjYPxWUy/pxkrnukoEjKhWoiesjK4UTV/AAeVA1qllpyiyk/KALQhIdSePZv4p58madIkAuZ+XikTcYvi4kh57z3ytm7DMTwMz9GjKiHa0tuTvIcnNj6Bl4MXH3T9gH51+t1xvTA1Qf/m/nRu4M2aQ8n8tNc6rPne+hP0bOxLI62JTmbLbb9M37FZUxzDw8hcvBjPkQ8jqWr2x6cpLY3EiRPRhoQQMGfO7VEct4KOJGYzecUhjibl0LepnrcHN0PvWv11IoU7V83+VKlmV6v5e/93+BLATeNGdnHlDl9ey6VLZ/SvvUrK9BmkfvQx+skvl/taZkMe6V/OI33hIhQaDb6TJ1urllfjiiuTxcS7e97F39mfnwf9jE5z+wwJ3Y50DmqGRwQxPCKIUym5/BwTzy/7E/k9r5glJ6O4u1UthrQJoGkt19s2sfYcPZrE8RPIjdqMa9+aXTIifcE3WAoKqD17ll1soWZLhUYzn0bFMn/bWTycNMwb0Yb+zf1tHZZwBxJJWRlcHb4soacMwFXrWulzyv7Nc8QIis/GkfHttxgTE3Hp1g3nTh1R+/ldH2t6Ovn79lGw/2/M2dlIKhWSWgUqFZKkIHvdWsyX0nC77z58n38OlU/118FZcWoFp7NOMztytkjIaphQvY4pA5rwcr9GfL5iM6eKPfh+9wW+3XmOhnod3Rv5onNQ4aRR4qRR4nh5YnRabhGpuUWk5hZyKbcIk1mmW0Mf+jX1o04NWOGp69EDdWAgaf/7El2vnjW2bIQpPZ3MH3/EbdBAtHXvzBIzKTmF7InLYO+5DDafSCUhs4Ch4QFMuavJDeuGCUJVE0lZGZjS01A4OaFwdCzxeVdN1SdlAPpXXwGlgpz168n94w8AtA1CcOrQAUteHgX79lN87hxg3R1A6emJbDKB0YhsMiGbTDg0boz+88+rdDXnzWQXZfP5gc9p69eWnkFiK5eaSq1U0NpXxfORYWTlF7P6UDIr9iUwf9sZLP+uZH71HAlfnQPeOi3FJgvvrT/Be+tP0FCvo28zP/o21dPE3z572ySlEp+JE0maNImsFSvwGDrU1iGVS/o33yAXF+P19NPXPS7LMgmZBSgUEr467W03JH0xu5BPo2LZdSaN8+n5ADhplIQFe/Dufc3p0kAUaRVsSyRlZWBOS7/h0CVYV2AmGhKrPA5JpcLvtdfQv/oqRadiydu5k7ydO8n6aRmSgwNObdrgfv8QHNuE4dCsKQo7nCvy5cEvyS7K5uW2L9vlH1+h7NydNIxsH8zI9sHIskyRyUJ+sZkCo5mCYhMWGXxctLg7qa97zxMy8/njaAobjl7k882xfBYVS213R3o30dO7iZ6Iup42Sw4sFpnErAJiU3OJTTFwKsXA6RRXnqkdSvEHHxPfvD1NGwbWqG2pTBkZZP7wI64DBqCtW5eEzHx2nUln95l0dp1J52JOIQCSBN4uWvxcHfBzc6BDPS+GhAXg5lgze5HWHkrmtV8PU2Qy06WBDyPbB9O2jidNarnedsmnUHOJpKwMTOnpNxy6BGtSdiz9WLXFI0kSDg1DcWgYitdjjyIbjaBU2v0KqrPZZ1l6Yin3NbiPRp6NbB2OUAUkScJBrSzVZskBHk481rkuj3WuS7qhiE3HU9h4LIUf91zgu13ncHVQ0b2RLwNb1KJrqDdaVeUOGcqyTJqhmAsZecSl5XP2koG4tLyrX0Umy9VjfXVaQnxdWNZhKC8sn8maF6czqv0DdKrvTXgdD0J8XQjxdcHP1cFubzbSF3yDpbCQFU1688uHWzh3ucfIy1lD+/petK/riUqpIDm7kJTsQi7mFHLmkoGNx1L48PeT3NO6Fg+3D6ZpLbdbtGQfcgqNTFt1lF/+TqRloDuzh7akns+dPYdOsF8iKSsDU3raTedfuGncqqQkRmlJ6ppxB/vR3o9wUDkwvnX1b7Qu2DcvFy3D2gYxrG0Q+cUmtsemsfFYClHHU1h1IAlXBxX9mvlxd8vadKjvVeoeKlmWSckpIi4tj3Pp1q/zafmcz8jnQnoeecXmq8eqFBJBXk7U83amSwNv6vm4EKp3IcRHd81co/bEySe5+9cVmPrfzerzGaw9nHz1Gi5aFfV9nOncwJvxPRqUKjmtCkazhax8I1n5xSRnF7Jj32n6L1zMn7VbMee0kY713RjdsQ4d63sTqne5aSJ5JDGbJbvP8+vfify4J56wYA+e6VafXk301fiKyuavs+m8sOwgF3MKmdizAeN6hIheMcGuiaSsDMxp6SjDw2/4vKvWlQJTAcXmYjRK+xsytAc7EnewPXE7L4a9iJfjjXsdBcFJo6JvUz/6NvXDaLaw43Qaqw8kse7wRZbFJODlrKFFgBuhfjoa6nWE6nXU83HmYnYhp1IMxKbkEptqIDbVQFyagULjPz1eGqWCQE9Hgr2caVfXkzpeTgR7OVPH25kAD8dS/eEOnPQ8Zzf9wci9y3ntu29JyyvmdKqBM6kGTqcaOJmSy9wtZ9hy4hJzHmpN/SrunZFlmcOJ2aw+mETUiVSSM/Mo2LD+umPGHF+H1mQk+LmxxPSMKNNQZLPabrw3pAWv9m/M8v0JLP7zHI8viqFvUz1v3d0MPzf7KB1hNFvYdCyFH/ZcYHtsGnW8nFj+dAdaB3nYOjRBuCWRlJWSbDRizsoqsZr/FW4aa3d+TnEO3o43Pu5OZbQY+WDvBwTqAnmo8UO2DkeoQdRKBd0b+tK9oS+FRjNbTqTyx7EUjifnsON0GkZzyasKars70kDvQod6XtT1dqKOtzN1vJyp5e5Y4XlgKg8PfJ6byMW33sbwxx/49uuHr86BjvX/+d2POp7CpJ8PMmjODqYPbsaQsMrfT/Z0ai6/HUjit4NJnEvPR62U6BTiTX2nIpo1qIeHsxoPJw1epnw8H38d3V39GTCwU7nbc3NSM6ZzXUZ1COar7Wf5dFMsvWZt5eV+DRnRLtgm8+tkWeZ8ej4/xcTzc0wCaYYiark58HyvUB7vUhdnrfhTJ9QM4l9qKZkyMoGSq/lfce1WSyIp+68NcRuIy47jk+6fiJ5Eodwc1Er6N/e/WkfKaLZwPj2PkxetPWJ6VwdC9Trq+7rgUsV/jN2HDiXzp2WkvP8BLl27onByuu75no31rJ/YlYlL/+bFnw+y83Qa0+9pVuEkIafQyOqDSSzbG8/BhGwUEnSo78UzkfXp29QPdycN0dHRREY2uHpO6qzZpBcW4v3sMxVq+wq1UsGzkSEMaO7P1JVHeGPVUX7Zn8gr/RsRHuxRZfukRp9M5cc9F8jIKyYz30hWvpHsgmKMZhmFBD0a6RnRLoiuoT41agGGIIBIykrNfLmav/ImE/1dtdZtOKqjLEZN9EvsLwTpgugR2MPWoQi3EbVSQYivjhDf6q91JymV+E2dwvmHR5L+9df4TJjwn2P83Bz44Yn2zLm8sjT61CVaBbrTrJYrTWu70ay2G7XcbrwwwGi2kF9kJq/YxLm0PJbvS2DdkWQKjRYa+el4fWATBrX0x1d34+FDU2YmmUuW4Nq/H9qQkEp7/QDBXs4seiyClQcSmb7mOA/O342rg4ouDXzo1tCHyFAffCuhKv6l3CKmrznGbweT8HdzoK63M6F6F9wcNbg7qfHVaenfzN9uhlEFoTxEUlZKpiubkXvfuI7NtcOXwvUu5FwgJiWGiW0m2u2qNEEoD6fwcHT9+5Hx3UI8R49G6fbfVYlKhcRzvULpWN+bpXsucDQph+iTqVdruWlVCtRKBZIECklCIYFFhoJiM8Vmy3XX0mlVDGkTwNDwQFoEuJXq9ylj4UIsBQV4P1M5vWT/JkkS97YOoFdjPdtOpRF9MpWtpy5dXfxQ290RbxcNns4avFy0eDlr8HLR4O2ixctFi7eLBh8XLZ7Omv/0sMmyzM8xCcxcd5yCYjPP9WrAM5H1K30VriDYA5GUldLNNiO/QvSU3djK0ytRSAoG1Rtk61AEodJ5P/UUues3kLn0J7yfevKGx0XU9SSiridgTbhOXMzhSFIOF9LzsMhgkWXky9/ButjBRavESaPCWavEw0lDlwY+OGpKn5CYs7LIXLwEXd++aBs0uPUJFaBzUDOghT8DWvgjyzLHk3OJPpVKbIqB9LxiLhmKOHkxl7S8YopNlv+cr5DAR6fFz82RWm7W+mjHk3PYfTaDiDqevHNfM5v0iApCdRFJWSmZLl0CbrzFElw/p0z4h9liZtXpVXSu3Rm9s/0unxeE8nJo1Ajnzp3JWLwYz0dGo9Bqb3mOo0ZJ6yCPKl8VmLFoEZa8vCrrJbsRSZJoUsuVJrVc//OcLMsYikykG4pJMxRd/iomNaeQ5Gzr16mUXLaeuoRaqeDd+5ozLDwQhZgjJtzmRFJWSvkxe1EHBaFwvvH+fC5qFySkKt2UvCbambST1IJUXg151dahCEKV8Xp8DBceeZTslavwGGYf2y+Zs7PJWLQYXZ8+ODQMtXU4V0mShM5Bjc5BfdM9T+XLPYciGRPuFKKKXilY8vLI/3M3uu6RNz1OISlw1bqSUyTmlF1r5emVeDp40i2gm61DEYQq49SuHQ7NmpHxzTfIZvOtT6gGGYsWYzEY8B77rK1DKRdJkkRCJtxRRFJWCoZdu5CNRly6d7/lsW4aN9FTdo2Mwgy2xG9hYL2BqJU1Y8cBQSgPSZLwenwMxefPkxsVZetwkPLzyVi0CF3vXjg0bGjrcARBKAWRlJWCYUs0Cp0Op7CwWx7rpnUTPWXXWHt2LSaLiXtC7rF1KIJQ5XS9e6MODCT96wXIcskFbauL05YtWHJz8X62ZvaSCcKdSCRltyCbzRiio3Hp0qVUe0u6alxFSYzLZFnml9hfaO7dnAYeVbvqSxDsgaRU4vXYoxQeOkT+3r02i8Ocm4tTVBQuPXvi0LixzeIQBKFsRFJ2CwWHDmHOyCjV0CVYy2KI1ZdWR9OPcjrrNPc2uNfWoQhCtXG7916Unp6kL1hgsxgylyxBkV9QadX7BUGoHiIpuwXDlmhQKnHp2qVUx4s5Zf/4NfZXHJQO9KvTz9ahCEK1UTg44DnyYfK2bqPw5Klqb99syCP9u4UUtWiOY9Om1d6+IAjlJ5KyWzBs2YxTWFiJVbpLcmVOmUX+b2HEO0mBqYB1cevoHdwbnUYUexTuLB7DhyM5OpK+4Otqbzt7xXIs2dkY+t9V7W0LglAxIim7ieKEBIpiT+PSo3RDl2CdUyYjYzAaqjAy+7c+bj0Go0EMXQp3JKW7Ox7Dh5Ozeg0Fhw5VW7uy2UzGosU4hodhqlun2toVBKFyiKTsJgybtwCgK+V8Mvinqn9GQUaVxFQTFJgKmHtgLs28mhGuD7d1OIJgE97PPoPK25uL096qtrpluZuiMCYm4jl6dLW0JwhC5RJJ2U3kbtmMpl49NMHBpT6nhU8LAKIu2L5Oka0sOrqI1PxUXmr7kth8XLhjKV1c0L/6CoXHjpH549JqaTPju+9QBwai69GjWtoTBKFyiaTsBqSCAvL3xqArw9AlQF23uoTpw1gRu+KOnFeWVpDGgiML6BXUizb6NrYORxBsSte/P84dO3Lpk08wpqZWaVsFhw5R8PffeI4ciaQs/YblgiDYjwolZZIkeUqStFGSpNjL30vcWVeSpA2SJGVJkrTmX49/J0lSnCRJBy5/tapIPJVJc/QYmEylLoVxrftD7yc+N549F/dUQWT2be6BuRjNRp4Le87WoQiCzUmShN8bryMXF5P6/gdV2lbGdwtRuLjgdt99VdqOIAhVp6I9Za8AUbIsNwCiLv9ckg+BkTd47iVZlltd/jpQwXgqjfbQIZTu7ji2Knue2Du4N64aV5afWl4Fkdmv2MxYfon9hQcbPUiwa+mHfAXhdqapUwevJ54gZ+1a8nbtqpI2jElJ5Pz+O+5Dh6J0ufEG34Ig2LeKJmWDgYWX/3shUOJeOrIsRwG5FWyr2sgmE9ojR3Dp1q1cwwBapZa7699N1IUoMgrvnAn/s/bNwlntzFMtnrJ1KIJgV7yefAJ1UBAX356Opbi40q+f8f33AHg+PKLSry0IQvVRVfB8vSzLyQCyLCdLkuRbjmvMlCTpDS73tMmyXFTSQZIkPQk8CaDX64mOji5nyLemjo3FMz+f876+nCpnO0HFQZgsJmb/Ppuebj0rN0A7dKLgBDtSd3CPxz0c2F11HZ4Gg6FK33uh7MR7UjqawYPxmDOHfVOmkjeg8mqISYWFeP/wI8WtW7Hz1Ck4ZS1YK94X+yPeE/tjb+/JLZMySZI2AX4lPDWlEtp/FbgIaID5wGTg7ZIOlGV5/uVjCA8PlyMjIyuh+ZKl/LWHdKWSiKeeROniUu7rbFi/gb8L/+btbm/f1qsQzRYzc9bMobZLbV4f8DoapabK2oqOjqYq33uh7MR7UkqRkSTExiL9/jstxz6Lpk6dSrlsxuIlpBQU0Oill3Bs2fLq4+J9sT/iPbE/9vae3HL4UpblXrIsNyvhaxWQIkmSP8Dl72VaXiTLcrJsVQR8C0SU50VUNtf+/cgdNrRCCRnAkNAhnM85T0xKTCVFZp+WHF/CqcxTPBf2XJUmZIJQ0+lffRVJoyF52lvIslzh61mLxS7CsXXr6xIyQRBqporOKfsNuFKlcDSwqiwnX5PQSVjnox2pYDyVwrFFCwq6dq3wdfoE90Gn0fHzqZ8rISr7tPrMaj6K+Yjugd3pG9zX1uEIgl1T633xffEF8nfvJntVmT4u/8NSUEDya1MwxseLYrGCcJuoaFL2HtBbkqRYoPfln5EkKVySpKubvkmStB34GegpSVKCJElX/np/L0nSYeAw4A3MqGA8dsVB5cCgeoPYdH4TmYWZtg6n0m25sIXXd75OhF8EH3b78LYeohWEyuI+bBiOrVuT+t77mDLL97lQfO4c5x4cTvZvv+E9bhy6vn0qOUpBEGyhQkmZLMvpsiz3lGW5weXvGZcfj5Fl+fFrjusiy7KPLMuOsiwHyLL8++XHe8iy3PzycOjDKrzumAAADstJREFUsizfdhtGDgkdgtFi5Lczv9k6lEq1J3kPk7ZOoolXEz7r8RlapdbWIQlCjSApFPi9NQ2zwVCu2mU5GzcSd/8DmC5eJHD+fHzGjRU3RIJwmxAV/atYqEcoLX1asvzU8kqZQ2IPDl86zPjN4wlyDWJer3k4q0VdJEEoC4fQULzGjCF75Ury/vyzVOfIJhMpH35I4vgJaOrWpe4vK3Dp0rmKIxUEoTqJpKwa3B96P+dyzrHqTMXmkNiD05mneSbqGTwdPJnfe/7VDdgFQSgb72eeRh0cRPK0aVgKC296rDknh/inniZjwTe4D3+Q4O+XoK5du5oiFQShuoikrBoMqDeACL8I3v7zbQ6k2s2mBWWWXZTN+M3j0Sg0fNXnK3ycfGwdkiDUWAoHB/ynTcN4/gJpX8y74XHFFy5w7sHh5P31F37T38b/zTdRaMQqZ0G4HYmkrBqoFWpmRc7C39mfiVsmkmRIsnVIZWa2mJm8bTIp+SnM7j6bAF2ArUMShBrPuUMH3O65h/T58zn34HByNmxANpmuPp8fE8O5ocMwp6cTtGABHg88YMNoBUGoaiIpqyZuWjc+7/k5RrORsVFjyTPm2TqkMvn8wOfsTNrJlHZTaOkj6iEJQmXxe2sa+qlTMWVkkPjc85zp05f0774j86dlnH/0MZTu7tT5aSnO7eyijKMgCFVIJGXVqK5bXT6K/Ii47Dgmb5uM2WK2dUil8se5P/j68Nc8EPoAQ0KH2DocQbitKLRaPB8eQf316wj4fA7qWrVIfe99Lr75Js5tw6nz09JKq/4vCIJ9q+jel0IZdazVkVciXmHmXzP5ZP8nvBj+oq1DuqnYzFim7pxKS5+WvBLxiq3DEYTblqRUouvVC12vXhQcOUrhkSO4D7kPSa22dWiCIFQTkZTZwIONHuRM1hm+O/odXQO60tavra1DKlF2UTYTt0zEWe3MrMhZYgslQagmjs2a4tisqa3DEAShmonhSxt5Pux5VAoV2xO32zqUEhnNRiZtnURyXjKzImfh6+Rr65AEQRAE4bYmespsxEntRAvvFuxN3mvrUP7DIluYunMqu5N3M6PTDFr7trZ1SIIgCIJw2xM9ZTYU4R/BsYxj5Bbn2jqU68yKmcW6uHVMbDORwSGDbR2OIAiCINwRRFJmQxF+EVhkC/tS9tk6lKsWHl3IwmMLeajRQ4xpNsbW4QiCIAjCHUMkZTbU0qclWqWWv5L/snUoAKw9u5aPYj6iT3AfXm77stjkWBAEQRCqkUjKbEij1NDKtxV7Lu6xdSjsTt7N1J1TaevXlne6vINSobR1SIIgCIJwRxFJmY2182vHqcxTZBZm2iwGi2xhxu4ZBOoC+bT7p2iVWpvFIgiCIAh3KpGU2diVGmV7L9puFeb2hO2czznPMy2fQafR2SwOQRAEQbiTiaTMxpp6N8VJ5WTTIcxFxxahd9LTK7iXzWIQBEEQhDudSMpsTK1QE6YPs1lSdiLjBHsu7uGhxg+hVojtXARBEATBVkRSZgci/CKIy44jNT+12ttefGwxjipHhjQQG40LgiAIgi2JpMwORPhHAKWfV2a2mJm2axo/nvgRWZbL3W5aQRrr49YzuP5g3LRu5b6OIAiCIAgVJ5IyO9DQoyE6ja7UQ5gbzm1gRewK3vnrHZ7b8hzZRdnlanfpiaWYLCYebvJwuc4XBEEQBKHyiKTMDigVStrq25aqiKzJYuKLA18Q6hHKS+EvsS1xGw+sfoADqQfK1GahqZBlJ5fRLbAbwa7B5Q1dEARBEIRKIpIyOxHhH0GiIZFEQ+JNj/vtzG9cyL3AuFbjGNV0FIv7L0YpKXlkwyN8ffhrLLKlVO2tObuGzKJMRjUZVRnhC4IgCIJQQSIpsxMRftZ5ZXuSbzyEWWwu5suDX9LcuzmRgZEANPNuxrJBy+gV3ItP93/KrJhZt2xLlmWWHFtCI89GhOvDKyV+QRAEQRAqRiRldiLEPQRPB8+bTvZfEbuC5LxkxrUed92+lDqNjg+7fsg9Iffw/YnvSTIk3bStXUm7OJN9hpFNRor9LQVBEATBToikzE5IkkSEXwR/XfyrxBWVBaYC5h+aT5g+jA7+HUo8f2yrsUhI/O/Q/27YjizLfHX4K7wdvelfp3+lvgZBEARBEMpPJGV2pK1fW1LzUzmXc+4/z/104ifSCtIY33r8DXu3/Jz9GNZwGKtOr+J8zvkSj1kRu4J9Kft4ttWzqJWiWKwgCIIg2AuRlNmRDrU6oJJUjF4/mnkH5pFRmAFAnjGPBUcW0KlWJ8L0YTe9xpjmY9AoNcw9MPc/z13Mu8hHMR/Rzq8d9ze4v0pegyAIgiAI5SOSMjsSqAvk237f0tKnJV8c/II+y/swY/cMPt3/KVlFWYxrPe6W1/B29OahRg+xIW4DpzJPXX1clmXe/vNtLLKFNzu+KeaSCYIgCIKdEUmZnWnl24o5PeewavAqBtYbyC+xv/DjiR/pHtidZt7NSnWNR5s9irPambl//9NbtubsGrYnbmdC6wkE6gKrKnxBEARBEMpJZesAhJLVc6/HtI7TGNd6HOvOrqNPnT6lPtdN68bopqOZe2AuR9KO4Ofsx3t73qOVTyuGNxpehVELgiAIglBeIimzc96O3oxqWvYCryObjOT7498z5+85OKudKTQV8lant1AqlFUQpSAIgiAIFSWSstuUs9qZMc3G8PG+jwGY2GYi9dzq2TgqQRAEQRBuRMwpu4092OhB9E56mng14ZGmj9g6HEEQBEEQbqJCPWWS9P/27i7GqqsM4/j/kZEMLSEDLUUEFBqJWjXSOiH4kQZom1Ct0otaNWrHpg03JtavKH4kxosmNjG2Gg0JgSpNTaFgtUSNiSJEL4QIxWgVFcTaIgioUMUmIvp4sRd2HOYwNiecvfA8v2Qye629Duclb95z3tkf52gGsAmYDzwB3Gr7xJg1i4A1wDTgn8DdtjeVfQuAjcAM4DHg3bZPdxNTPGtwYJDNb97M4MAgA8/LQdGIiIiadXukbDWwzfZCYFsZj/UMcJvtVwArgPskDZV99wD3lsefAO7oMp4YY/rgdKYMTGk7jIiIiJhAt03ZSmBD2d4A3Dx2ge1f295ftg8Dx4CZaj4oazmw5XyPj4iIiOgH3TZls2wfASi/rzjfYkmLgcnAb4DLgJO2z5Tdh4A5XcYTERERcVHSeF9+/V8LpO8BLxhn1yeADbaHRq09YXt6h39nNrADGLG9U9JM4Ee2X1L2zwO+bftVHR6/ClgFMGvWrNds3Lhxov9bV06dOsXUqVMv6HPEc5e81Cc5qVPyUp/kpD69ysmyZcv22B6eaN2EV3/bvr7TPklHJc22faQ0Xcc6rJsGfAv4pO2dZfqPwJCkgXK0bC5w+DxxrAXWAgwPD3vp0qUThd6VHTt2cKGfI5675KU+yUmdkpf6JCf1qS0n3Z6+3AqMlO0R4NGxCyRNBr4OPGB789l5N4fotgO3nO/xEREREf2g26bsM8ANkvYDN5QxkoYlrStrbgWuBd4j6SflZ1HZ91Hgg5IO0Fxjtr7LeCIiIiIuSl19eJXtPwHXjTO/G7izbD8IPNjh8QeBxd3EEBEREfH/IJ/oHxEREVGBNGURERERFUhTFhEREVGBNGURERERFUhTFhEREVGBNGURERERFUhTFhEREVGBNGURERERFZjwC8lrJOk48LsL/DSX03w/Z9QlealPclKn5KU+yUl9epWTF9ueOdGii7Ip6wVJu/+Xb3SP3kpe6pOc1Cl5qU9yUp/acpLTlxEREREVSFMWERERUYE0ZZ2tbTuAGFfyUp/kpE7JS32Sk/pUlZNcUxYRERFRgRwpi4iIiKhAmrJxSFoh6VeSDkha3XY8/UjSPEnbJe2T9HNJd5X5GZK+K2l/+T297Vj7jaRJkvZK+mYZL5C0q+Rkk6TJbcfYbyQNSdoi6ZelZl6bWmmXpA+U167HJT0kaTC10nuS7pd0TNLjo+bGrQ01vlDe+38q6Zpex5umbAxJk4AvATcCVwHvkHRVu1H1pTPAh2y/HFgCvLfkYTWwzfZCYFsZR2/dBewbNb4HuLfk5ARwRytR9bfPA9+x/TLg1TT5Sa20RNIc4H3AsO1XApOAt5NaacNXgBVj5jrVxo3AwvKzCljToxj/I03ZuRYDB2wftH0a2AisbDmmvmP7iO3HyvZfad5k5tDkYkNZtgG4uZ0I+5OkucCbgHVlLGA5sKUsSU56TNI04FpgPYDt07ZPklpp2wAwRdIAcAlwhNRKz9n+AfDnMdOdamMl8IAbO4EhSbN7E2kjTdm55gBPjRofKnPREknzgauBXcAs20egadyAK9qLrC/dB3wE+FcZXwactH2mjFMvvXclcBz4cjmtvE7SpaRWWmP798BngSdpmrGngT2kVmrRqTZaf/9PU3YujTOXW1RbImkq8DXg/bb/0nY8/UzSTcAx23tGT4+zNPXSWwPANcAa21cDfyOnKltVrlFaCSwAXghcSnNqbKzUSl1afz1LU3auQ8C8UeO5wOGWYulrkp5P05B91fYjZfro2cPJ5fextuLrQ68H3iLpCZrT+stpjpwNlVM0kHppwyHgkO1dZbyFpklLrbTneuC3to/b/gfwCPA6Uiu16FQbrb//pyk714+BheUumck0F2dubTmmvlOuVVoP7LP9uVG7tgIjZXsEeLTXsfUr2x+zPdf2fJq6+L7tdwLbgVvKsuSkx2z/AXhK0kvL1HXAL0ittOlJYImkS8pr2dmcpFbq0Kk2tgK3lbswlwBPnz3N2Sv58NhxSHojzRGAScD9tu9uOaS+I+kNwA+Bn/Hs9Usfp7mu7GHgRTQvfG+1PfYizrjAJC0FPmz7JklX0hw5mwHsBd5l++9txtdvJC2iufliMnAQuJ3mj+7USkskfRp4G82d5HuBO2muT0qt9JCkh4ClwOXAUeBTwDcYpzZKA/1Fmrs1nwFut727p/GmKYuIiIhoX05fRkRERFQgTVlEREREBdKURURERFQgTVlEREREBdKURURERFQgTVlEREREBdKURURERFQgTVlEREREBf4N+xKSHckKEu0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e97b840128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[10,7])\n",
    "for i in range(4):\n",
    "    plot(eigvec[:,i],label='ev'+str(i))\n",
    "legend()\n",
    "grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "**Something to do**: verify that all of the eigen-vectors have length 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "## Using First 10 Eigen Vectors\n",
    "V=eigvec[:,0:10]\n",
    "## Defining a function to return Projection\n",
    "def project(array):\n",
    "    return np.dot(array, V)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## Creating Training Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Returns the projection, rmse , peak2peak and the label "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def calc_stats(row):\n",
    "    array = trimmed_spectra(row)\n",
    "    projections = project(array)\n",
    "    rmse = np.std(array)\n",
    "    peak2peak = row.peak2peak\n",
    "    label = 0 if row.species==u'Gervais' else 1\n",
    "    return np.hstack((projections, [rmse, peak2peak, label]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "df_trimmed_data = df_new.rdd.map(calc_stats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "data = df_trimmed_data.collect()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "         59.44545656, -23.35421682,  -5.42973433, -42.64602359,\n",
       "          5.56179578, -37.28496438,  13.88114898,  46.8688    ,\n",
       "          1.        ]),\n",
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       "         97.87996817, -18.37932415,  -7.38424143, -47.16092596,\n",
       "         25.74659054, -60.38621445,  19.35739458,  66.3083    ,\n",
       "          1.        ]),\n",
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       "         6.96602265e+01, -3.07267635e+01, -2.62323084e-01, -5.37579339e+01,\n",
       "         1.55510053e+01, -4.98541327e+01,  1.48264495e+01,  4.82274000e+01,\n",
       "         1.00000000e+00]),\n",
       " array([ 44.21293216,  26.56185407, 145.85606985, -18.92763694,\n",
       "         83.42816777, -33.16800188, -29.03534155, -39.68586087,\n",
       "         11.58435449, -35.25247509,  19.0786286 ,  73.1481    ,\n",
       "          1.        ]),\n",
       " array([131.35125346,  18.61529512, 127.26423018,   9.09157731,\n",
       "         71.74723222, -35.85102214,   4.52885134, -48.24040588,\n",
       "         22.98266238, -65.9411506 ,  18.11401719,  62.2699    ,\n",
       "          1.        ]),\n",
       " array([ 41.61073953,  38.58690696, 138.50102243,  -0.5519913 ,\n",
       "         90.42046079, -29.95407395, -21.92739043, -60.44974835,\n",
       "         14.22300444, -49.27226935,  20.20988027,  72.9652    ,\n",
       "          1.        ]),\n",
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       "         79.35041399, -25.40528409,  -1.24153371, -74.10922629,\n",
       "          9.0141756 , -42.89127874,  19.24377743,  65.0526    ,\n",
       "          1.        ]),\n",
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       "         65.25858515,  -3.99020493,   0.52723303, -44.3454993 ,\n",
       "         14.24916112, -54.6045491 ,  14.86374999,  45.4061    ,\n",
       "          1.        ]),\n",
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       "         -8.7858535 , -51.69587831,  16.49383135,  64.2682    ,\n",
       "          1.        ]),\n",
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       "         58.20120567, -13.89271859, -25.60320817, -46.48973996,\n",
       "         26.67639017, -47.75658355,  13.56866038,  51.9044    ,\n",
       "          1.        ]),\n",
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       "         16.01545261, -61.43434818,  15.2191523 ,  53.6061    ,\n",
       "          1.        ]),\n",
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       "         29.00427046, -46.51144164,  14.01981845,  52.1594    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          8.28541606, -53.78152333,  13.41360643,  56.2377    ,\n",
       "          1.        ]),\n",
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       "          7.51267092, -46.96310895,  17.93741126,  68.6481    ,\n",
       "          1.        ]),\n",
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       "         64.82924964,  -2.11312069, -15.49824797, -59.9654839 ,\n",
       "         28.51214464, -44.51318998,  18.314337  ,  64.8999    ,\n",
       "          1.        ]),\n",
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       "         61.44417745, -17.92505583, -11.4412818 , -49.96996223,\n",
       "         18.11751648, -54.5677661 ,  16.57684217,  61.0983    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         80.43858224, -10.03609813,   5.20135269, -56.90973014,\n",
       "         26.5478479 , -42.9296347 ,  13.85634306,  53.9356    ,\n",
       "          1.        ]),\n",
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       "         19.41822388, -55.75979176,  15.19357754,  59.4312    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         73.7463779 ,  -9.70330347, -24.38911661, -34.3466532 ,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
       " array([164.71550989,  31.39727667, 111.40395652,   8.84138471,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         78.64953991, -25.17592108,  -9.28135955, -52.9219274 ,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         1.96001222e-01, -7.00086136e+01,  1.62970892e+01,  4.55536000e+01,\n",
       "         1.00000000e+00]),\n",
       " array([173.10879262, -41.42105221, 103.94578975,   1.13202603,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
       " array([251.82473282,   9.00740137, 154.02006584, -11.79446865,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
       " array([ 53.70449783,  10.20500568,  88.59979247,  -9.07755104,\n",
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       "          1.        ]),\n",
       " array([132.66203359,   7.56418687, 118.67632685,   5.81148848,\n",
       "         61.79730877,  -5.11171627, -17.95060822, -43.98559032,\n",
       "          7.55816345, -56.60534156,  14.72935988,  58.7832    ,\n",
       "          1.        ]),\n",
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       "         11.50789781, -38.55795583,  16.79541044,  63.1327    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         65.77743211, -21.67855219, -31.74779665, -55.79823875,\n",
       "         26.00403725, -40.69494123,  14.1873383 ,  53.688     ,\n",
       "          1.        ]),\n",
       " array([229.57921749,   1.38302888, 134.26903848,   5.6824219 ,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         39.38891459, -48.73124168,  15.10414681,  60.4624    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
       " array([111.91414828,  12.34586167, 114.83048699,  -1.15143472,\n",
       "         63.13268356,   7.79348522, -28.6244828 , -36.86855127,\n",
       "          8.60883715, -48.28535911,  15.46610218,  62.2601    ,\n",
       "          1.        ]),\n",
       " array([151.25404177,  -2.48629605, 112.29167608,  -8.37711696,\n",
       "         77.01307255,  -6.1119474 ,   3.74925855, -30.14414148,\n",
       "          8.99249271, -44.17586311,  14.62117598,  53.0711    ,\n",
       "          1.        ]),\n",
       " array([156.44042551,  13.60238637,  98.15151533,  30.94214723,\n",
       "         82.2090299 , -16.44712658, -27.2202515 , -45.67659803,\n",
       "         21.45136677, -49.78419522,  14.62437278,  55.3831    ,\n",
       "          1.        ]),\n",
       " array([205.36202092,   4.15186244,  66.66867134, -26.21987706,\n",
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       "         16.14537437, -41.63638716,  11.69463691,  49.5488    ,\n",
       "          1.        ]),\n",
       " array([256.58643745,  10.59938769, 124.35295016,  -2.47754192,\n",
       "        106.19758806,  -0.91830148,   2.32364553, -43.82321886,\n",
       "         32.83752467, -39.80343017,  14.8006194 ,  46.9638    ,\n",
       "          1.        ]),\n",
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       "          2.51016962, -70.03895769,  16.26335866,  46.703     ,\n",
       "          1.        ]),\n",
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       "         13.59141331, -64.14666311,  15.34499928,  48.8154    ,\n",
       "          1.        ]),\n",
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       "         73.71783801, -14.8935217 ,  -3.19167629, -48.61940286,\n",
       "          5.02322496, -46.41322422,  14.63556948,  46.4919    ,\n",
       "          1.        ]),\n",
       " array([204.2609572 ,   2.56721949,  95.85621297,  -7.37230455,\n",
       "         80.15833685, -38.05027325, -34.03818521, -30.95115124,\n",
       "         18.60153217, -32.22360183,  13.29112613,  48.9443    ,\n",
       "          1.        ]),\n",
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       "        -22.34166119, -34.06588949,  18.15717276,  66.903     ,\n",
       "          1.        ]),\n",
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       "         68.21263269,   0.82875974, -35.53390611, -25.1992103 ,\n",
       "          1.72704615, -56.04081398,  13.947436  ,  57.099     ,\n",
       "          1.        ]),\n",
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       "         63.20828766,  11.64953115,  -3.02825043, -18.56531026,\n",
       "         21.09438132, -57.30292676,  14.27046289,  46.1738    ,\n",
       "          1.        ]),\n",
       " array([ 34.55038631,  26.81122074, 133.2022207 ,  16.1534773 ,\n",
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       "          3.38710737, -64.83736318,  19.89367747,  71.3892    ,\n",
       "          1.        ]),\n",
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       "         64.28792557, -13.27440608, -29.03066158, -30.59730324,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         87.73081001, -30.23435007, -27.62168691, -47.45320528,\n",
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       "          1.        ]),\n",
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       "         87.01017338, -12.58479327, -14.31772127, -55.25299473,\n",
       "         21.90948797, -54.38319394,  13.93220496,  50.6804    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "        121.51011999,   1.93933089, -24.09467291, -38.96818403,\n",
       "         25.58111992, -44.79862177,  15.80706853,  47.5512    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          16.72575915,  -44.85945484,   20.35217327,   84.2215    ,\n",
       "           1.        ]),\n",
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       "          9.58937059, -45.013328  ,  16.47266454,  66.0001    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         12.88914235, -64.24366528,  14.09455607,  46.8502    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         58.01313479,   0.40211967,  -2.02361591, -59.1641563 ,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         2.14616734e+01, -6.35971026e+01,  1.58311233e+01,  4.74506000e+01,\n",
       "         1.00000000e+00]),\n",
       " array([151.1695538 , -24.39098346,  90.52369823,   5.64825678,\n",
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       "          1.        ]),\n",
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       "         7.81704668e+01, -1.38980799e-01, -1.52444665e+01, -4.76626760e+01,\n",
       "         2.65824801e+01, -4.20484220e+01,  1.42546220e+01,  4.76045000e+01,\n",
       "         1.00000000e+00]),\n",
       " array([244.82087265,   6.68700565, 131.57081999,  19.65123943,\n",
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       "          6.6572431 , -59.59114063,  14.35313389,  46.7456    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         -2.30614489, -44.16107562,  15.76270782,  48.7183    ,\n",
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       "         73.88778959,  -0.21498031, -10.38849318, -48.0514797 ,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          5.34800168, -41.56781798,  13.25112396,  47.8014    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         23.20043046, -39.7094254 ,  13.01222591,  52.6485    ,\n",
       "          1.        ]),\n",
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       "         27.48363597, -38.48168522,  15.26652787,  57.9996    ,\n",
       "          1.        ]),\n",
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       "         69.91072622, -16.32026466, -19.99421602, -39.10598407,\n",
       "         16.26667341, -71.2418657 ,  14.67268452,  57.476     ,\n",
       "          1.        ]),\n",
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       "         5.98967406e+01, -1.90379261e+01,  1.37500960e-01, -5.16480468e+01,\n",
       "         2.05729979e+01, -4.63957133e+01,  1.39729718e+01,  4.68454000e+01,\n",
       "         1.00000000e+00]),\n",
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       "         48.69376263,  -4.40562624,  -3.77413144, -42.53277402,\n",
       "          2.72456917, -54.00251152,  14.42105721,  46.8628    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         23.07626891, -44.76423606,  15.70080698,  53.3051    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         1.05038741e+01, -5.19121610e+01,  1.49788376e+01,  4.77370000e+01,\n",
       "         1.00000000e+00]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         1.30115235e+01, -3.59466001e+01,  1.30012597e+01,  5.24207000e+01,\n",
       "         1.00000000e+00]),\n",
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       "          9.70127657, -48.46544755,  17.73646112,  63.6276    ,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
       " array([289.18601672,  15.32457283, 143.81143183,  15.23777684,\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
       " array([243.97229857,  19.14423305, 143.40848436,  10.67851492,\n",
       "         71.92185542,   3.39520202,  -9.77070044, -40.57523605,\n",
       "         17.99301814, -52.9024689 ,  15.56534961,  50.4018    ,\n",
       "          1.        ]),\n",
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       "         23.18389583, -57.97582078,  15.53077874,  54.391     ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         14.45912728, -42.11483217,  15.51678432,  54.1941    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         70.80238187, -49.5866313 , -25.24146473, -38.68857128,\n",
       "         22.90464776, -37.59663356,  14.0590593 ,  43.9342    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         10.41756758, -48.8222528 ,  13.68015968,  53.0196    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         1.00000000e+00]),\n",
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       "          1.        ]),\n",
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       "        -9.19820920e-02, -6.52765499e+01,  2.01966136e+01,  6.66777000e+01,\n",
       "         1.00000000e+00]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         15.85166174, -43.04276754,  14.46334091,  53.7704    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         18.19158559, -47.02419184,  16.72811377,  61.5286    ,\n",
       "          1.        ]),\n",
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       "        105.04497445,  -7.02157582, -18.74633652, -61.7005921 ,\n",
       "         14.26904672, -68.47408331,  16.85691419,  47.8838    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         77.58738441, -30.167616  , -21.86011414, -61.3110211 ,\n",
       "         15.14891488, -34.41969917,  14.44187498,  56.121     ,\n",
       "          1.        ]),\n",
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       "         6.13828004e+01,  6.02442134e+00, -3.45808432e+01, -5.70979408e+01,\n",
       "         1.64451689e+01, -5.09613702e+01,  1.55119251e+01,  6.10343000e+01,\n",
       "         1.00000000e+00]),\n",
       " array([ 85.99060295,   1.01141489, 131.98407974,   6.80134624,\n",
       "         78.25941895, -14.48981276, -21.84341481, -45.77166011,\n",
       "         15.10914552, -55.32577071,  17.57349564,  64.2907    ,\n",
       "          1.        ]),\n",
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       "         63.75733981, -18.89102487, -20.19327977, -45.89345417,\n",
       "          7.00820026, -57.7330847 ,  17.20983896,  62.7439    ,\n",
       "          1.        ]),\n",
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       "         26.48804844, -41.04535983,  14.81800521,  60.5529    ,\n",
       "          1.        ]),\n",
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       "          2.52566776, -36.8296112 ,  21.56486432,  75.1772    ,\n",
       "          1.        ]),\n",
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       "         72.71381291, -17.20074236, -21.71579755, -39.99195929,\n",
       "         20.84561107, -57.60560627,  13.78838582,  57.4626    ,\n",
       "          1.        ]),\n",
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       "         65.05150869, -12.25167682, -19.16645343, -40.4462164 ,\n",
       "         22.11077504, -45.7266405 ,  13.39617971,  48.7155    ,\n",
       "          1.        ]),\n",
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       "          4.73896712, -41.13595764,  15.57331756,  46.6796    ,\n",
       "          1.        ]),\n",
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       "         13.47494855, -52.27108901,  16.61888764,  47.2142    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         21.53996602, -59.95993092,  15.51125418,  56.0686    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "        -6.96431870e+00, -4.49921728e+01,  1.55657928e+01,  4.60309000e+01,\n",
       "         1.00000000e+00]),\n",
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       "         15.94714819, -44.6556803 ,  12.6681521 ,  47.0929    ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          7.69714248, -39.52252643,  13.89276538,  59.428     ,\n",
       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "        -2.12718209e-01, -6.66542774e+01,  1.67568392e+01,  4.87632000e+01,\n",
       "         1.00000000e+00]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "          1.        ]),\n",
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       "         10.98479196, -61.85009658,  20.95970984,  71.0194    ,\n",
       "          1.        ]),\n",
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       "         32.41370199, -58.52418159,  17.8990414 ,  65.9259    ,\n",
       "          1.        ]),\n",
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       "         50.73314026, -24.1078204 , -19.33301817, -49.42222509,\n",
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       "          1.        ]),\n",
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       "         45.21338136, -46.13929276,  15.14885425,  55.9157    ,\n",
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       "         74.59874206,   0.28370716, -21.30639191, -49.71795193,\n",
       "         16.09103029, -45.85650701,  13.33633966,  51.0829    ,\n",
       "          0.        ]),\n",
       " array([182.03139346, -59.71658954, 124.78791355,   3.54674541,\n",
       "         98.50977886, -26.90869177, -14.41990115, -41.90098209,\n",
       "         11.3725708 , -45.44502118,  15.24887805,  52.1247    ,\n",
       "          0.        ]),\n",
       " array([170.51487091, -18.63038905,  69.33597515, -13.49796441,\n",
       "         75.9145686 ,  -3.37534403,  -9.06809703, -53.86744759,\n",
       "          0.19586628, -49.05745445,  12.8690665 ,  51.0979    ,\n",
       "          0.        ]),\n",
       " array([ 95.11143115, -27.65053317, 108.37814174,  -5.44413855,\n",
       "         65.5043866 ,  -9.86375266,   7.20142669, -26.13809098,\n",
       "         -5.45878381, -36.68237139,  15.08904223,  61.8392    ,\n",
       "          0.        ]),\n",
       " array([175.1698947 ,   6.40061559,  95.46244718,  -2.78259189,\n",
       "        107.55402315, -14.2873677 , -24.08474335, -44.9283417 ,\n",
       "         23.94542045, -56.16551151,  15.18697942,  51.9288    ,\n",
       "          0.        ]),\n",
       " array([177.96802655, -31.379979  , 115.71788069,   4.87278665,\n",
       "         84.81756553, -17.9857922 , -35.02060579, -53.7498197 ,\n",
       "         12.82426254, -50.37292876,  15.32255145,  51.2045    ,\n",
       "          0.        ]),\n",
       " array([161.75841672, -43.55006902, 105.36274161, -19.4631833 ,\n",
       "         77.91511657, -12.23893071, -13.50424127, -39.37056163,\n",
       "         10.27828127, -58.75010979,  14.67618345,  55.5166    ,\n",
       "          0.        ]),\n",
       " array([191.29167044, -23.31321151, 130.1755087 ,   6.83908464,\n",
       "         97.92174653,  15.1771848 ,  -9.13613034, -59.34402602,\n",
       "         12.8408202 , -53.94155637,  17.18550406,  53.7076    ,\n",
       "          0.        ]),\n",
       " array([201.50812286, -30.74933934, 115.77375725,  -0.81371124,\n",
       "         78.2008851 ,  22.41758097,  -3.09673364, -54.48496251,\n",
       "         10.85064827, -52.9802147 ,  13.50148689,  50.1564    ,\n",
       "          0.        ]),\n",
       " array([293.825474  ,  34.78701051, 106.78595084,   9.47511796,\n",
       "         79.10008394, -34.51805417, -33.02078752, -43.89248844,\n",
       "          6.87650703, -77.18958924,  16.040287  ,  46.0521    ,\n",
       "          1.        ]),\n",
       " array([116.74016776, -20.63570739,  92.29346205,  -4.33799031,\n",
       "         73.88717708, -16.86434109, -25.9027981 , -50.5726991 ,\n",
       "         -1.25441081, -50.176899  ,  13.93576975,  57.2598    ,\n",
       "          1.        ]),\n",
       " array([110.85158009,  16.76701503, 123.09938694,  19.75419548,\n",
       "         65.83297602,  -5.82818225, -12.08824592, -57.93983524,\n",
       "         -2.14913416, -37.56189164,  15.69204224,  62.9321    ,\n",
       "          1.        ]),\n",
       " array([ 77.4879063 ,   8.5003747 , 135.73356694,   6.11272666,\n",
       "         85.8258234 ,  -1.65940689, -19.20822437, -46.46553149,\n",
       "         29.20774739, -53.73026208,  18.33043864,  65.2041    ,\n",
       "          1.        ]),\n",
       " array([288.38972109,  34.8011778 , 153.58637129,  12.20973352,\n",
       "         80.81550608, -18.13330805, -29.1559842 , -52.32102995,\n",
       "          7.78481023, -61.85122931,  17.18190376,  47.0969    ,\n",
       "          1.        ]),\n",
       " array([207.62479662,   7.25194716, 102.95965605,  21.72893425,\n",
       "         73.89906273, -13.38897807, -27.07076622, -37.40335272,\n",
       "         12.09686247, -58.23471292,  13.84473264,  48.3975    ,\n",
       "          1.        ]),\n",
       " array([131.93308557,  20.80040605, 122.93275028,  14.394088  ,\n",
       "         68.49015502,  -6.56166107, -17.24382298, -49.08618872,\n",
       "         28.50647477, -52.29024732,  15.87072347,  58.7958    ,\n",
       "          1.        ]),\n",
       " array([-58.3204899 ,  28.220526  , 154.26753822,   7.03410255,\n",
       "         75.91185059, -36.82841004, -14.71661064, -49.21072735,\n",
       "          5.04326387, -34.76721047,  21.75375583,  84.1104    ,\n",
       "          1.        ]),\n",
       " array([203.14142006, -22.52758992, 111.76498748,  22.13689961,\n",
       "         66.89988073, -27.60760946, -18.34103828, -41.1852299 ,\n",
       "          9.54728843, -51.21701761,  13.92845941,  50.4972    ,\n",
       "          1.        ]),\n",
       " array([207.38332482,  12.28019316, 113.8594765 ,  13.67024292,\n",
       "         71.11939727,  -7.01979503, -10.92301774, -62.14164945,\n",
       "          6.9565634 , -43.43738585,  14.50817194,  49.8765    ,\n",
       "          1.        ]),\n",
       " array([155.02796151,   2.65204249, 108.45082362,  19.9830226 ,\n",
       "         62.81566171,  -1.77128671,  -2.30479452, -50.89146331,\n",
       "         22.80373264, -62.10789   ,  14.66006432,  54.6178    ,\n",
       "          1.        ]),\n",
       " array([211.05497775, -20.84783176, 124.44162393,  20.42634732,\n",
       "         62.97381669, -25.5901472 , -15.95661171, -57.42526119,\n",
       "          2.28791341, -42.85032284,  14.37871023,  48.3454    ,\n",
       "          1.        ]),\n",
       " array([108.69024086,  50.23303416, 137.52497191, -11.8047006 ,\n",
       "         84.07707923, -32.00611619, -30.51617868, -47.03329372,\n",
       "         17.83659449, -40.44731408,  18.61388631,  65.918     ,\n",
       "          1.        ]),\n",
       " array([190.07354392,  -7.86333331,  96.03082816,   3.78152436,\n",
       "         90.28204134,  -5.77689976,  -6.92458689, -52.12984803,\n",
       "         14.74749253, -52.00475305,  14.51558692,  51.3343    ,\n",
       "          1.        ]),\n",
       " array([275.49613478,   6.33931893, 157.49335666,   5.38343208,\n",
       "         60.00088501, -13.94014971, -13.59687051, -49.93069396,\n",
       "          8.22656151, -35.76423158,  14.93672768,  47.7665    ,\n",
       "          1.        ]),\n",
       " array([164.55322528, -17.46255742,  85.06615839,  11.119439  ,\n",
       "         95.96126763, -21.85027952, -18.43948749, -42.34124145,\n",
       "          7.42783879, -42.73059425,  13.60768891,  51.8744    ,\n",
       "          1.        ]),\n",
       " array([135.37293534,   7.82476978,  87.72647528,  14.77211987,\n",
       "         56.93903384,  -5.09144825,   5.73707725, -45.45369672,\n",
       "          9.40592535, -47.42060878,  13.64216962,  55.5154    ,\n",
       "          1.        ]),\n",
       " array([116.67208924,  34.1026091 , 117.16920864,   7.29683438,\n",
       "         77.6214419 , -21.72280405, -15.44344709, -32.37027891,\n",
       "         12.11949505, -52.86414857,  16.75731452,  62.9856    ,\n",
       "          1.        ]),\n",
       " array([161.0283875 , -10.79110276, 114.42386692,   4.83388338,\n",
       "         66.96087182,  12.83369575, -26.64566786, -43.24974908,\n",
       "          5.28989969, -69.73095062,  14.9496974 ,  55.2782    ,\n",
       "          1.        ]),\n",
       " array([282.57605762,  13.43415304, 163.42291757,   8.08462971,\n",
       "         65.46004688, -14.74291473, -15.57910425, -57.67282755,\n",
       "         14.97881393, -44.55272657,  15.82568208,  46.8027    ,\n",
       "          1.        ]),\n",
       " array([234.89674965, -25.63445658, 126.08952612,  36.10358854,\n",
       "         69.03340701, -21.00328305,  -4.15611776, -44.01906217,\n",
       "         16.24350147, -39.49224967,  13.49609439,  44.954     ,\n",
       "          1.        ]),\n",
       " array([165.94047105,   0.35172163, 101.0178596 ,  10.11154037,\n",
       "         70.90790443,  -7.46520097, -10.74480824, -68.34255638,\n",
       "         27.41612006, -55.97738568,  15.06376402,  54.9078    ,\n",
       "          1.        ]),\n",
       " array([215.10709894,   2.77375514, 146.74815754, -28.55105478,\n",
       "         75.86187389, -18.56566411,  -5.79832335, -51.1326107 ,\n",
       "         17.03872263, -66.24921488,  16.8763743 ,  53.8612    ,\n",
       "          1.        ]),\n",
       " array([156.64376319,  -5.54848124,  84.87213927,  -9.20751861,\n",
       "         72.06443201,   3.20086661, -12.78850772, -50.24329045,\n",
       "          2.82487772, -51.11843647,  13.71114917,  52.1476    ,\n",
       "          1.        ]),\n",
       " array([264.5312479 ,  34.26299302, 139.51134298,  14.07147079,\n",
       "         71.48638962,  -3.12386741, -16.18174633, -52.55496008,\n",
       "          5.78878626, -58.14763075,  15.95767455,  48.3494    ,\n",
       "          1.        ]),\n",
       " array([216.50186232,  22.6470553 ,  99.50067679,  16.36927124,\n",
       "         82.13693644, -23.26063831,   8.97342557, -56.85606546,\n",
       "         33.55824115, -38.5439856 ,  14.64260104,  52.4529    ,\n",
       "          1.        ]),\n",
       " array([270.02086458,   1.64675182, 150.63194029,   7.29113001,\n",
       "         70.96045394, -18.21182788, -25.58630892, -44.82897745,\n",
       "          8.84562021, -47.29574329,  14.97141698,  45.7907    ,\n",
       "          1.        ]),\n",
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       "         73.55886802,  -3.19411415, -23.55665343, -35.84434998,\n",
       "         -2.41398952, -43.17017873,  15.22464725,  59.538     ,\n",
       "          1.        ]),\n",
       " array([ 2.56452202e+02,  1.78144413e+01,  1.35809945e+02, -5.10805290e-02,\n",
       "         9.38518901e+01, -1.61806725e+01, -2.56533464e+01, -3.43860703e+01,\n",
       "         4.03860704e+00, -7.68006853e+01,  1.60944228e+01,  4.80948000e+01,\n",
       "         1.00000000e+00]),\n",
       " array([169.3591784 ,   3.62995332, 100.74719297,   8.82168822,\n",
       "         57.07458576, -11.48767663, -20.25981163, -57.72355809,\n",
       "         20.504267  , -52.0733223 ,  13.68423652,  52.4353    ,\n",
       "          1.        ]),\n",
       " array([192.81231196, -23.49856738, 118.20318521,  14.70091239,\n",
       "         72.51254892,  -1.06833315, -23.16851781, -39.67034527,\n",
       "         -9.47429724, -38.74443705,  14.48781251,  51.5528    ,\n",
       "          1.        ]),\n",
       " array([110.01042331,  30.70372507, 121.65589538,  16.61663013,\n",
       "         63.93747084,  -8.60360797, -19.21118822, -48.06124599,\n",
       "         32.34268513, -52.11774772,  16.36963812,  64.209     ,\n",
       "          1.        ]),\n",
       " array([135.40345189,  12.82239056, 126.13155245,   5.26688248,\n",
       "         53.0176836 ,  -3.25647358, -11.53566415, -48.94448764,\n",
       "          4.14144902, -43.34181833,  15.27155827,  60.4757    ,\n",
       "          1.        ]),\n",
       " array([247.6664685 ,  17.16189812, 140.60779767,  -2.11074147,\n",
       "         75.40283961, -15.70603163,   4.36980336, -49.55109283,\n",
       "         10.82511384, -58.42193436,  15.23552249,  46.5941    ,\n",
       "          1.        ]),\n",
       " array([210.60371741,  -7.63205237, 126.14487902,  34.38695542,\n",
       "         59.64683489, -33.18173467,  -2.64151274, -51.84029437,\n",
       "         12.42035306, -52.20403317,  14.91944875,  49.3699    ,\n",
       "          1.        ]),\n",
       " array([193.40248564,  28.24994574, 127.06240206,  12.87317101,\n",
       "         92.0659093 , -22.48624671,  -7.67183169, -73.97923859,\n",
       "          8.40436982, -50.61198621,  17.26129857,  54.6805    ,\n",
       "          1.        ]),\n",
       " array([128.18279469,  15.61803075, 103.06944771,   4.0969129 ,\n",
       "         60.8782995 ,  -3.83135006,  -7.57297671, -53.73886378,\n",
       "         23.57790212, -40.37034326,  14.9512426 ,  58.8734    ,\n",
       "          1.        ]),\n",
       " array([ 77.60819191,  31.39668645, 152.06359249, -17.2109469 ,\n",
       "         73.5360385 , -24.29410475, -16.04450904, -48.38450607,\n",
       "         13.26022016, -47.86862399,  19.46902775,  68.8164    ,\n",
       "          1.        ]),\n",
       " array([175.62046734,  22.74717868, 104.68967293,  48.48220192,\n",
       "        107.30268297, -14.81160627,  -6.79524911, -40.97704339,\n",
       "         16.03953606, -43.98389509,  16.42472006,  55.7281    ,\n",
       "          1.        ]),\n",
       " array([ 96.46290781,  39.062444  , 108.06233264,   8.97702915,\n",
       "         56.74678408, -14.02772008, -16.51102637, -53.13530452,\n",
       "         15.9331553 , -70.30787387,  16.97499558,  66.3641    ,\n",
       "          1.        ]),\n",
       " array([231.52584629,   2.25057353, 121.11294862,  28.09028537,\n",
       "         61.1092972 ,  -2.897746  , -27.6011274 , -44.78344912,\n",
       "          6.72611393, -61.02399085,  14.7574338 ,  47.5087    ,\n",
       "          1.        ]),\n",
       " array([129.56576333,   8.66976494,  92.93660061,  -6.49925008,\n",
       "         76.28611778,  -9.34488555, -25.27800938, -79.29755108,\n",
       "          6.68377643, -52.21656296,  16.48277598,  57.5824    ,\n",
       "          1.        ]),\n",
       " array([139.43448   ,  12.84231142,  95.54706159,  16.84903303,\n",
       "         72.08118503,  -2.29640916, -19.48648573, -58.69957646,\n",
       "         11.25885286, -71.17579486,  15.80857979,  56.047     ,\n",
       "          1.        ]),\n",
       " array([226.93159541,  -7.36162933, 110.02922599,   1.20397278,\n",
       "         76.19969169, -10.79972048, -22.74172501, -55.90981579,\n",
       "         12.52012158, -54.64563436,  14.28600598,  46.5623    ,\n",
       "          1.        ]),\n",
       " array([262.43814165,  17.03592097, 144.28364363,   3.44630041,\n",
       "         72.53009164, -31.28154841, -10.5754812 , -60.32674239,\n",
       "          3.44734719, -73.26920806,  16.62777398,  47.6476    ,\n",
       "          1.        ]),\n",
       " array([184.09337353,   9.82624404,  73.10898297,  -9.89439434,\n",
       "         88.5507091 , -15.14919052, -20.47080825, -52.5271805 ,\n",
       "         17.96272809, -49.81832526,  13.84729286,  51.1798    ,\n",
       "          1.        ]),\n",
       " array([216.59374219, -82.42091596, 158.22512034,  12.45799816,\n",
       "         82.15230261, -36.15204079, -15.3685921 , -54.53077099,\n",
       "         10.27542484, -53.3933278 ,  17.00785748,  51.8168    ,\n",
       "          1.        ]),\n",
       " array([235.66420695,  12.32770049, 137.39216039, -19.33978799,\n",
       "         91.82346343, -42.54061711,   0.73557251, -64.44929696,\n",
       "         21.61092674, -71.9987211 ,  17.60277399,  48.6841    ,\n",
       "          1.        ]),\n",
       " array([159.12910906,  15.99229075, 109.2463382 ,  15.12541458,\n",
       "         88.01937142,  -5.22691498, -10.58925691, -43.29548211,\n",
       "         27.9547764 , -48.08474857,  14.93135897,  55.2906    ,\n",
       "          1.        ]),\n",
       " array([ 45.80946096,   4.92169806, 137.89031937,  10.40925099,\n",
       "         64.34326434,  -9.30118818, -11.63203685, -42.01644175,\n",
       "         -3.78168248, -44.65066453,  18.12260752,  72.2802    ,\n",
       "          1.        ]),\n",
       " array([ 26.29186013, -11.16428755, 112.72637863,  -6.79779551,\n",
       "         95.08746137,  -9.31899249,   2.79951707, -34.68190391,\n",
       "         13.43421514, -66.22169881,  17.83622372,  69.2303    ,\n",
       "          1.        ]),\n",
       " array([ 24.76591957, -13.97147139, 113.16486659, -24.92828423,\n",
       "         79.85811812, -12.65199688,  -7.36228038, -31.00006732,\n",
       "          6.11693888, -68.52022297,  17.84564035,  72.6743    ,\n",
       "          1.        ]),\n",
       " array([157.2577557 ,   8.93865636, 116.51946927,   7.45276936,\n",
       "         75.99998636,  -5.2654553 , -30.89241714, -48.60732702,\n",
       "         15.01624258, -69.78436599,  16.67240243,  56.3248    ,\n",
       "          1.        ]),\n",
       " array([239.31439548, -22.73410334, 125.91098985, -10.03164153,\n",
       "         79.96628733, -21.28734058, -25.16210937, -40.88432437,\n",
       "          8.15479025, -35.01874245,  14.08557275,  45.855     ,\n",
       "          1.        ]),\n",
       " array([214.21153718,  -6.01519994, 136.03321576,   8.47823837,\n",
       "         76.6077744 , -40.67078762, -21.00063223, -64.28810418,\n",
       "          6.51550646, -48.17542894,  15.81007709,  48.1377    ,\n",
       "          1.        ]),\n",
       " array([103.98344799,   1.28450172, 110.59056024,  21.90419414,\n",
       "         59.20760222,  -7.95811985,  -6.41083524, -62.43834195,\n",
       "         -6.51695363, -63.04511914,  16.14248986,  62.6853    ,\n",
       "          1.        ]),\n",
       " ...]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "### Writing Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "np_data = np.array(data)\n",
    "np.save(open('Data/processed_data_15mb.np', 'wb'), np_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Projecting on top eigenvectors\n",
    "We observe that eigvec1 represents mostly the loudness of the click, and has little information about the species.\n",
    "\n",
    "We therefor project on eigen-vectors 2 and 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "V=eigvec[:,1:3] #vectors on which to project, chose 1,2 eigen vectors\n",
    "def project(row):\n",
    "    X=unpackArray(row.MSP,data_type=np.float64)\n",
    "    return np.dot(X,V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "Gervais=df_new.filter(df_new.species=='Gervais')\n",
    "Cuviers=df_new.filter(df_new.species=='Cuviers')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e97a8b3940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Cuvier_projections=np.array(Cuviers.rdd.map(project).collect())\n",
    "Gervais_projections=np.array(Gervais.rdd.map(project).collect())\n",
    "\n",
    "figure(figsize=[12,8])\n",
    "scatter(Cuvier_projections[:,0],Cuvier_projections[:,1],c='r', s=3, alpha=0.4)\n",
    "scatter(Gervais_projections[:,0],Gervais_projections[:,1],c='b', s=3, alpha=0.4)\n",
    "title('projection of spectra on eigvecs 2,3')\n",
    "legend(['Cuvier', 'Gervais'], loc=\"lower right\")\n",
    "xlim([-75,75])\n",
    "xlabel('eigvec 2')\n",
    "ylim([50,175])\n",
    "ylabel('eigvec 3');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Observe that there are regions where the conditional probability is close to 0 or 1\n",
    "\n",
    "There is also an overlap region where there two species are mixed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Highlighting overlap area"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "hide_input": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "Cuvier_projections=np.array(Cuviers.sample(False,0.5).rdd.map(project).take(10000))\n",
    "Gervais_projections=np.array(Gervais.sample(False,0.5).rdd.map(project).take(10000))\n",
    "\n",
    "figure(figsize=[9,6])\n",
    "scatter(Cuvier_projections[:,0],Cuvier_projections[:,1],c='r', alpha=0.4)\n",
    "scatter(Gervais_projections[:,0],Gervais_projections[:,1],c='b', alpha=0.4)\n",
    "title('projection of spectra on eigvecs 2,3 (zoom on overlap area)')\n",
    "legend(['Cuvier', 'Gervais'], loc=\"lower right\")\n",
    "xlim([-20, 0])\n",
    "ylim([80, 140]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "* We are encouraged to see that projecting on eigvecs 2,3 gives a pretty good separation.\n",
    "* There might be more useful information in the other eigenvectors, but we cannot visualize more than 2.\n",
    "* We use the top eigenvectors and features and use boosting to extract more information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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