Lasf FM exploracion inicial + preprocesamiento.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#!pip install seaborn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import json\n",
    "\n",
    "from src.utils.files import save_to_pickle\n",
    "from src.utils.pandas import put_df_name\n",
    "\n",
    "from IPython.display import display, Markdown\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set()\n",
    "sns.set_context(\"talk\")  \n",
    "\n",
    "DEFAULT_FIGSIZE=(20,8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "filename = \"data/lastfm-dataset-1K/userid-timestamp-artid-artname-traid-traname.tsv\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "plays = pd.read_table(filename, usecols=[0, 1, 2, 4], names=['user_id', 'timestamp', 'artist_id', 'track_id'])\n",
    "plays = put_df_name(plays, \"plays\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Analizando el dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user_id</th>\n",
       "      <th>timestamp</th>\n",
       "      <th>artist_id</th>\n",
       "      <th>track_id</th>\n",
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       "      <th>1</th>\n",
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       "      <td>2009-05-04T13:54:10Z</td>\n",
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       "      <th>2</th>\n",
       "      <td>user_000001</td>\n",
       "      <td>2009-05-04T13:52:04Z</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>user_000001</td>\n",
       "      <td>2009-05-04T13:42:52Z</td>\n",
       "      <td>a7f7df4a-77d8-4f12-8acd-5c60c93f4de8</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>user_000001</td>\n",
       "      <td>2009-05-04T13:42:11Z</td>\n",
       "      <td>a7f7df4a-77d8-4f12-8acd-5c60c93f4de8</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       user_id             timestamp                             artist_id  \\\n",
       "0  user_000001  2009-05-04T23:08:57Z  f1b1cf71-bd35-4e99-8624-24a6e15f133a   \n",
       "1  user_000001  2009-05-04T13:54:10Z  a7f7df4a-77d8-4f12-8acd-5c60c93f4de8   \n",
       "2  user_000001  2009-05-04T13:52:04Z  a7f7df4a-77d8-4f12-8acd-5c60c93f4de8   \n",
       "3  user_000001  2009-05-04T13:42:52Z  a7f7df4a-77d8-4f12-8acd-5c60c93f4de8   \n",
       "4  user_000001  2009-05-04T13:42:11Z  a7f7df4a-77d8-4f12-8acd-5c60c93f4de8   \n",
       "\n",
       "  track_id  \n",
       "0      NaN  \n",
       "1      NaN  \n",
       "2      NaN  \n",
       "3      NaN  \n",
       "4      NaN  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plays.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user_id</th>\n",
       "      <th>timestamp</th>\n",
       "      <th>artist_id</th>\n",
       "      <th>track_id</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>19098862</td>\n",
       "      <td>19098862</td>\n",
       "      <td>18498009</td>\n",
       "      <td>16936136</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>unique</th>\n",
       "      <td>992</td>\n",
       "      <td>17454739</td>\n",
       "      <td>107295</td>\n",
       "      <td>960402</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>top</th>\n",
       "      <td>user_000949</td>\n",
       "      <td>2009-02-26T21:29:15Z</td>\n",
       "      <td>a74b1b7f-71a5-4011-9441-d0b5e4122711</td>\n",
       "      <td>db16d0b3-b8ce-4aa8-a11a-e4d53cc7f8a6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>freq</th>\n",
       "      <td>183103</td>\n",
       "      <td>248</td>\n",
       "      <td>115099</td>\n",
       "      <td>3991</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            user_id             timestamp  \\\n",
       "count      19098862              19098862   \n",
       "unique          992              17454739   \n",
       "top     user_000949  2009-02-26T21:29:15Z   \n",
       "freq         183103                   248   \n",
       "\n",
       "                                   artist_id  \\\n",
       "count                               18498009   \n",
       "unique                                107295   \n",
       "top     a74b1b7f-71a5-4011-9441-d0b5e4122711   \n",
       "freq                                  115099   \n",
       "\n",
       "                                    track_id  \n",
       "count                               16936136  \n",
       "unique                                960402  \n",
       "top     db16d0b3-b8ce-4aa8-a11a-e4d53cc7f8a6  \n",
       "freq                                    3991  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plays.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Campos vacios"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'user_id': 0.0,\n",
       " 'timestamp': 0.0,\n",
       " 'artist_id': 0.0314601466830851,\n",
       " 'track_id': 0.11323847462744116}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def count_null(df):\n",
    "    null_count={}\n",
    "    for col in df.columns:\n",
    "         null_count[col] = df[col].isnull().sum()/len(df)\n",
    "    return null_count\n",
    "\n",
    "count_null(plays)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Drop filas Nan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "plays = plays.dropna()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Valores unicos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'user_id': 992, 'timestamp': 15631468, 'artist_id': 83905, 'track_id': 960402}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def count_unique(df):\n",
    "    unique_count = {}\n",
    "    for c in df.columns:\n",
    "        unique_count[c] = df[c].unique().size\n",
    "    return unique_count\n",
    "\n",
    "count_unique(plays)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_distribution(df, column, elements=\"\", xlim=None):\n",
    "    \n",
    "    values = df[column].value_counts()\n",
    "    \n",
    "    if elements:\n",
    "        values.name = f\"{elements} count\"\n",
    "        elements = f\"of {elements} \"\n",
    "        \n",
    "    fig, (ax1, ax2) = plt.subplots(figsize=DEFAULT_FIGSIZE, ncols=2)\n",
    "    if xlim is not None:\n",
    "        ax1.set(xlim=xlim)\n",
    "        ax2.set(xlim=xlim)\n",
    "    \n",
    "    sns.distplot(values, ax=ax1,norm_hist=False, kde=False, bins=xlim[1] if xlim else None)\\\n",
    "                .set_title(f\"{df.metadata_df_name} - Distribution {elements}per {column}\")\n",
    "    \n",
    "    sns.distplot(values, ax=ax2, \n",
    "                 norm_hist=True, \n",
    "                 hist_kws=dict(cumulative=True), \n",
    "                 kde=False, bins=xlim[1] if xlim else None)\\\n",
    "                .set_title(f\"{df.metadata_df_name} - Cumulative Distribution {elements}per {column}\")    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Usuarios x cancion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jorge/anaconda3/envs/labdac/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_distribution(plays, column=\"user_id\", elements=\"reproductions\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Canciones reproducidas "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_distribution(plays, column=\"track_id\", elements=\"reproductions\",xlim=(0,500))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Artistas Reproducidos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LrJO2FnBelB5ynV7ztgDenplnNy3/N0ovzH/IzEd+b0TE6ZSA0KdZvYf4s4CtMvMPVdrPUB6KcXhEfL6xvPI44JjMPLwpj30obaVPZWb9BuIVlEDiJ1gVbNgX+FtK77sjaml/SdmvE5l761hKm+idmXlm/Y1GMGic7Yy2fi80rXMP8Opam+97lEDPOymBMyjBof/j0fUElGBYu9o9x46m9Nj8u8y8qbFylN6XP6f0wtqnKe/VfkuMVZZsmr8uIi6jBDffRjkv6lq2XyPiZsp3c2lzz7ER7EaZimjvVm9WZTovIr4I3DFZ7csow0JPpvTA3C4z76mWf44OHpRmD7C10xmNBiVA9e/PUrrFzhttxfpJEhHrVdHh9Sh3NbaqLjYNZ1J6T+xaW+fFlIZdvdJplOV1I0Tke+GB6nX9UdI0yr1TRLQb9R/J/A6DX1AarY90Bc7MGyl3+naOiDkTLM+Yqs/8QuCyrE0uX5WpcTdstxarntj0/6uq12eOsb3pwD8BP2vujky5UD88wvY6dVKuPtRhd8qPkc9HxCb1P8qwxunAzk3rPEDpuVB3erW8VTnPaHHB2oVyh/6URoMMoPr3KZQ7e43tvpxyLn6mnk/VEBqrh9FY9qheD82muToyc2X9OOxQ43s4pulYvonyve4YZahv3aMurtV63wOeVDvuG+fmK5vqpE61c47tQRkqcW6LY+MyyjCFHZryvamD4Fen9W5Dqwd5dKqXdfNrKcMKmnuStn2HTmu9qdxWaZTvgVFTTdwKqp4oNf9NGSL12Ubwq7YcxrhWd2qc9Vu7zqVcu99Y28YcyrXnW7V21y7AEynDdDZsqscb7Y2XT6AcdZ20LyfjWOv0WpC5+hPXGjfsJqON1Y7XUI7B47M2h09m3kXZR5sBzT3Er8vVp9K4itJZY/MxttdJW2u87mPVNAR1b6HcpLyx6bgborQ3dowyd1vd+fUgV/UdnUj5rK9usY1Wx8BulHbzJ+oLs0wRsQB4TazqjfRaSl1xQlMeZzCBOqrK/02UGw1nNr+fmQ9PIN/x/F44uanN92NKj8l6nbeIUj+9KsqczeMx5jlW5b0HpZfb/zYdG3+h9JxqVSe1+i0xWkEa0/xMj4gNqvxvonzOViMmOmq/jmIR8OwY/6il8Xo+pTfzFxrBL3hU+6It/RKsUGdaDWn7ZfX6tNFWrIIeH6dcnFoFfTZkVWV4IWXY0NsoP2ap/j3Mo3/UnFbldzpwXET8kNId+IIceyz1Bqz+ZMK7m+4KjceYjc/M/F2UYWGHAgsjYgGl++bFVaXZifHMHTLSfnw5pXHwi3Hk2YktqtdW2/kV5QLT6niq95IiM+8tN/to1dW27vGURshq28syd9vCEbbXqVb7YqvqdbRK/4lN/78jmyZfrO7+3kHrcrba7mjfcWPZ05peW/X2+mWLZZ14Jqvmw5hMW1COk1bH8i8oja4tePTQ1TtapL23en0c8GCWuVbmU+6M7RERP6bsuwszs5Pvop1zbCtKQ320XnbNx0ZH53uH9e64tjGCcdfNk+BpwI+b6/LMXBgRk/aIbfW1qdxWaZRtsocbNlvYfFODMg8Q1OY6gkd6VMHY1+qOjLN+a9e3gD9Renw1fty8jhLsqO/bxjX+P0bJq7keH692gpuTWfd2ei1oNd9co96djDZWO9pt+9QfZDVW22AytjcRt49wvm9FqRtG26+bUOZHauikbry76rnWbAvgrqaekQ2/oAwp3YRy/jyNUlc86pittWk3GqXso9mkWneyh3mP9/fCSMdQ/fg5ljK9xqXAvRHxfcoUExeO0qOzWTvn2OOr7b6ckY+NVgHCTtuXL6X0XtueMtdtXav9OllzXR5AGRL+8+oY+h7l+vv18QY+2zQpv5XsATaFVNHo71C6jZ5LuaP2D5Q7J40hOI8cE1mGJ5xHiZI/sbqLtzulx9DdtXT3UrrW7kS5E/lYyp2M2yKiuedEs5MpczTV/54ysU8KlK7UMMbY6apL8TMpJ/LtlPHxN0SZu6AT3XpCx2g9c3oSwB6lwT/eOymTrdW+aJRtL8rx3upvor2s1vQTH1seG6PcbV450jpr2GjB7UeOoapb9XMpwxPvpczndnNE/Nskl2ca5Xtp1IWt/poDp23v607r3YZO7gCOZIJ1s9QTA9JW+TVlrqhtRknTbDzX+9Hq03au1RNqY4y3fmtX1Zv7S8AOEdGYO2svSpCvPjF+4zMdzMj1eHPvl45Fmez8WZRgwog/liez7p2Ma8EIOm1DdFtbbYMeGmk/TKMMZxvpuNuF9uav7XS7vdDvHWfGrPOyPCxla8ocjedSboaeBdwaEU+fxLI0tnkFIx8Xr2ixXifty7+l1L9PoswF9xpKwG0XSru5Vd07KcdTlgdLbE4ZZnsVZV7GS4GrI2JoMrbRTf1+IKu1rSjzONRtXb22in43PI/yhLNHjQGHR57U0sqZlEn19mZVt9HmMdeNoMjVrHra3vMocwAdTqlkRnI8tacgVf7fKOnHFBEbU7qgLqKMqR9VlnmfTgVOjTKPxLeBD0bECVX3+m4FDbaidIGt25pSgTfG4zce0bxxi/Vb3f3opKyNu8PPbvHelpSKc7TjqVN3U8bdr7a9KPM3zKV786U0ng52Twddf58WEUP1XmBV4/dptD8nV+P7ezald2Fd8znbeN1ylLR191Vl2jgf/SjvkXqnvZJy/t8wSnk7PdbvoBwnW7H62PtGmX/LOGXmLZQ5ND4VZY6064FPRsRn2hy22c459mvKD7b/yRZPapsE46l3R9JxXdRm3dyNOu4O4JkRMSMf/TTZuZQeIRp8U7atkplLIuKbwG4R8fLM/M4oeTd0er2fDKNtcwvKBOaj6XRfjaeuOZdyk3KviDiLMnz2zMxcWkvTuMb/ZZKG94xkT8qQzFGfRAw9rXu3al5Qq3fr510nbYjxtA2gtH1ub3qvnTqgU520tSbbrym9fa7qoOfLavuIzst5B/APEbFhix5iW1N6KN5TS/vyiFi/3gus1qZt7kV2H+3VQ/dU6/51G+Xt5Bjq6u+Fqu74ZvVHlIcyfIPy8IVWDz5q1s45djdlTuL1u1gnvZnyoJdXZmb96aaPofNefeNpX95HuS6eV90M+SRl/tfXABd3ml+b6r+VmrX6rdSSPcDWTu+quuMDj3TN/1fKifb9UdZr/Ah51J2Uavxuy3kBqrmhbqBMJvs2yqN6H9WQq8YbN7sVWEzrCrSe/y8z84qmv+bu/G2rgl8XU7qoHzPanbNqrPQ6TeVZwqqurY3KozHx5qifZRw+WB9/HmUy7p2BK3PVZJ+/pUz0+qi5CyLihZTHMDd7ENionXHtVXDvWsoEs4+M4a7WbUwW+dVW645H1TD4OrBtRDRP8v8hSn00adtrchHlbvxRLeZiaBwLs5oWr095ckvdu6vlzWP/R/Jdylj/90btyVvVv99L2V/fraVdDLwnak+ZjPIkn1ZPCmx0Y26e16LVY60bd+KPbXVnpna8dHqsN76HQ5uO5edQ5m/44XiG2kXExtH0tKqqgfdbyg/b5m7eI2nnHPti9XpslMk1m8sy0WEzHde7o+ho/3RQNz9YpZ/MOu5rlCFHzU9wO2QSt6H+NtXbKh+t8j47YtVz5ZvK9OZqCAt0fr2fDC2vIxHxL5QnD46l033VcV2TmQsoN1jeQglATaf29MfKtylDvT7UKu+ImB0TfPpllCc7nkD5Yf6JMdL2su6NiHht07JGvVtvu3TShui0bXAZ5Qf1wfV2dhUk2JdyA+pnbebVjk7aWpNtPqUHzkGt3hyhDbFHPPopjUOUJ+mtoExg345LKefCh5q290rK/GqX1QJyX6MESpr37btoPZfdbZRel/W26EaUffeIKv8LgK0j4m3NmTT9Fmn7WO/m74URzs2fVq/tHt9jnmPVZzgf2C4idh8hk4nOP92y/qU8zKrTGE/b53hEzKhuSj+iuindOKeb67jJrN9upDx1ft/6vqx6fv9ru5nYA2ztdA/l8amNyRj3pTyFcL8xukr/ijKe+oNVpZaUrtzvpHTfff4I651J9Rhx4KgWdzjOqiry71AuarMp3eAfy+oTIE+mV0ZEo6fSRpQKf7dqu5/KVU9FGslOwJkR8Z+U7+JBynewH3B9ZjaGT/6S0uB5d0Q8RGm8/ykzr2qRZyc2A74d5WkdcylPkllM6cIPQGY+GOVpIftFxAWUO4nPpOzzm1n9rsuPKI8dPi0irqVUjlflyBP070/5IfLfUZ5C8/+q9V8BfClXfwLkRH2Y0jX30ihPyPkNZSz+GykTRTY3aidFZv4hIt5FOY5/FeWpJL+j3LV7LmWuqq2BO2ur3Q4cUTXkb6QcG2+lNGJPaXO790fEBymPC76+2pdQ5rZ6BuWpOYuqtH+OiI9QJju9NsocWOtRKvRfs/qEsRdQ5jI4szoP7qP0ZFrt4p6ZjWG9hwA/jYgLKft6C8pQoe0ox3VHx3qWJ/tcRJkEdaOI+C9KQ/A9lEdMv6+d76mFvYADI+KrlGNkGfASynF5UY7+9Li6ds6xH0fEkZRHiy+IiIuBu6r0z6dMrD2R7tzjrXdXU8239xvgTRFxO2WS+b9k5tdHWKXduvlHlO/m9Ij4BuX7vr5+R3EcjqcEbs+KiOdTvoN5lAcK3DPKehocU7qtkuUJla+n1NU3VXXl9ZQ6aDPKXfK/pvTOHc/1fjLKmFGeGvfO6sfqAsqwzd0ode86o61P5/tqvHXNuZTg0yHAbZn5qJ69mfmXiNiL8uMzI+I/qvJvSOkp8M/VZ7p6jO0AbBARjacuzqIEAnei1F9/ojzxeKxeOr2se39O6ZFxFqXtsBPlOv99ynx5DZ20ITq69lTH1acovUF+ULU5Hgu8gzK30x6jTKfRsU7aWl1wMqVd+6kqmH0VpffVUynDwpZQ9kHdbVU5P0tpc72ZMmT2Y5n5e9pzDqXH6yERsTmlDf0Myo3aP1La2w1foHz3H42ILYDrKG3K11Paus3xgNMoPXuuqtrLGwJvpxzLT2pKezjwUkqg/+WUkTfTqvxnsupJlJ0e6936vfCdKHN1/TdlXrYNKcfJSlbdEB1Lu+fYYZQndV5U1f8/osxNuRmlbXkjqz8FshNfpQROvxkRZ1Z570LpmdtpO6tRpx4XEedTjttbqpEYzR5LmTv7MkrQ60+U3xPvovQIrNcLP6I8eOoQyo2plZnZ0ZNo6zJzRUQcSOnYcEO1D5ZTfp/dSznvxmQPsLXTIZQT7D2UR6wuo1xMVuvuX1ddbF5FOTD3plTaL6n+Pdodhy9TKvOHaf0ElC9S5sPYmzKU8PCqTLtn5hltf6rOHV1t+2zgI5QAxn8A22TtkcCjuAn4CqVRczTl+5hHaRA8Mi67+rH9Jsp3cBKl0dDJ43JH8g+Ui9RRlArsRuAlWXsiY+VAylCOl1PmkNie8pSYVt1/T6R8B7tTGlkXMEqX0Mz8CeVJkN+nXDRPoFTMh7B6z40Jy8zfUcp/MeVu7kmU4MsnKF14m5/eOJnb/gLl4vkzSuP8dMqdwbmU46d5OMsfKI2Xp1GCUq+j3M2Zl02PHB5ju6dTGt/3A0dUf/dTHqF8ZlPaEygBr9mU72SfatvNT/lqPN1oV8qPjw9TAjh3UY6rVuX4EKWRtYjSKD2pKtc3qeYEGOexvgfljtxmlOPn3ZTjaYfMHO8d3qurv3+kPDXwU5Su8B+gs+OyrXMsM4+qtnUXZajNZyiNxVmMP4jXyHu89e5I9qA0uI6l7J/Vjo2aduvmCyj7bkdKo/qCqozjlmVi3hdRfpDuRdmP61Eaim2fP1qrTfm2SpYnsm1VbW9bynlwBuWc+DmwU2bWJ5Du5Ho/WfaktIX2oNQDm1PO0/8da8Vx7Kvx1jXnU37krM8IwcrM/DYliPBtSvviM5RrxlbAv7P6MP2RbEo5Vr5I2W/voPQgPwDYMjOvbiOPntW9lN4sr6W07U6gtHtOA15dDwp32oags2sPmXkI5btblzI06mDKDcSX5upP9puwTtpak7zdZZRzYH/KTdWjKOfuGynDtVr1FjyVUhc0ro0bAQdkZtu/LartvoLy3W5HabO9hdK+3r4eSMsylcculN8Hr6K0K59VLfsDTTLzfEo7cS7l3HkLpQ5f7SmytwpYAAAgAElEQVR71bV+B0o77fmUY+4ISjCuHgjp6Fjv4u+FMyidAxq/A95PCcy8rIPjst1zbBElAHYEpQ37Ccr+/idKYGhC153MvIby2+QvwMco5/BiyvfaUTuryusQ4OmUOdEuoPyWbOUhyv7YgnJen0G5jlxGOfbuqqV9NyUoehhlNMoFnZRrhLJeUpXtAcpnfh9wCR2MMJi2cmU/zImsdkTEPpRG3U5tXoAna7uzKBfyH2dmqwn7pIESEXcCd2bmvN6WRONR3f3dOzP7YeJcaUqxrSJJq4uIeZSn5e2bmef0tjQaj4hYCZybmfv0uiwaP3uAqR17UO5OdO0OiiRJ0gTYVpEkSaNyDjCNKCJeTRnWdCRlbqB2J/6WJK3FojwsYoOx0mXmhJ7aK02UbRVJktYO1YMQxppbd3EX5+0zAKZRnUqZ/PNGyqS1kzZhpSSpr72R1vMoNXOYqXrNtookSWuHrzD2XIfnMrEHBIzKOcBGt5wyTPSBXhdEkqQ15Y9//OO02267bcZY6V70ohd17cEVa9D6lInTvSnYX2yDSZI0QG6++eYZixYteuTm6YwZM9ZbuXLlyre+9a31uTvvysxfdqsMBsBG9/DKlSun+RX1l2nVKeN+6R/uk/7kfuk/7pP+M20aTJs2bSXOi9pvbIP1Geuv/uR+6T/uk/7kfuk/vWiDebdzdA8AG9x774O9LodqNthgNgCLFi3ucUnU4D7pT+6X/uM+6T+bbDIH7GXUj2yD9Rnrr/7kfuk/7pP+5H7pP71og3m3U5IkSZIkSQPNAJgkSZIkSZIGmgEwSZIkSZIkDTQDYJIkSZIkSRpoBsAkSZIkSZI00AyASZIkSZIkaaAZAJMkSZIkSdJAMwAmSZIkSZKkgWYATJIkSZIkSQPNAJgkSZIkSZIGmgEwSZIkSZIkDTQDYJIkSZIkSRpoBsAkSZIkSZI00AyASZIkSZIkaaDN7HUBJEmS1FsRMRfYH9geeAEwB9gpM69uc/2tgBOBHYFh4OvA+zPznq4UWJIkqUP2AJMkSVIAhwCbAjd3tGLEpsAPgKcDHwY+Dbwa+E5ErDPJ5ZQkSRoXA2CSJEm6EdgkM58JfKrDdT8MzAbmZeYpmXks8AZgW2DPyS2mJEnS+BgAkyRJmuIy8/8y895xrv464LLM/N9aflcAt1ECYZIkST3nHGBtGBqa0esidNXDD69k+fKHe10MSZK0lomIvwKeAPykxds3AC+fSP4bbDB7IqtrEs2cWdrD7pP+4n7pP+6T/uR+ERgAa0v+fhHDy1b0uhhdMbTODOIpG/S6GJIkae00t3pd2OK9hcATImJGZg5mQ0qSJK01DIC1YXjZChbe82Cvi9EVczeZ0+siSJKktVfjVvrSFu8tqaUZV0Nq0aLF41lNXdDoNeE+6S/ul/7jPulP7pf+s0kPYhHOASZJkqTxavySmNXivXWb0kiSJPWMATBJkiSNV2Po49wW780F/uTwR0mS1A/aGgIZEecAe4+SZNPGk38i4oXA8cDfAA8AFwKHZuZDTXnOAo6mPB57I+Am4LDMvLLF9ic9T0mSJE1MZv5vRNwNvKDF29sBC9ZwkSRJklpqtwfY5yhBpfrfXsBDwC9rwa9tgCspXd4PAs4G3kkJWDU7BzgQOA/YH3gYuDwidqgn6kaekiRJ6lxEPD0int60+D+Bf6qeCNlI9zLgWcDFa7J8kiRJI2mrB1hmXgdcV18WETsC6wHn1xYfC9wLzMvMB6t0dwJnRcRLM/Oqatl2wJuAAzPzpGrZfOAW4DjgxV3OU5IkSTURcXj1z62q1z2r9t79mXlatazRq37z2qrHAq8HvhcRpwJzgIMpPfHnd7XQkiRJbZrIHGBvBlYCXwKIiPWBXYD5jUBVZT7lyT9vqC3bHVhG6c0FQGYuAT4P7BgRc7uVpyRJklr6WPX35ur/b63+/4HRVsrM3wMvAX4LfBL4IPANYJfMHO5aaSVJkjrQVg+wZhGxDiX4dG1m3lktfm6V30/qaTNzOCIWANvWFm8L3NoU1AK4AZgGbEOZVLUbeXZsaNZMZs8eGs+qfW9o1kzWW28Ws2ev7HVR2jZz5gxg1aNs1Xvuk/7kfuk/7hP1s8yc1kaazUdY/gvgFZNdJkmSpMky3h5grwAex6OHPzZ6WLUKMi0EntyUdqR01NJ2I09JkiRJkiRNIePqAUbpGr8MuKi2rHE7e2mL9Etq7zfSjpSunlc38uzY8NLlLF48mD34h5cO8dBDSxkeXnueUN7oObFo0eIel0QN7pP+5H7pP+6T/rPJJnN6XQRJkiStAR33AIuIOcBrgG9n5r21txqt+VktVlu39n4j7Ujp6nl1I09JkiRJkiRNIePpAfZaVn/6I6waathqsvm5wF1NaUdKRy1tN/KUJEmSJEnqezNnTmf69DGn6VQbxhMA24PyBMbLmpbfAiwHXgB8pbEwIoYoE9B/qZZ2AbB/RMxpmrR+++r1pi7mKUmSJEmS1PemT59G/n4Rw8vWnmmL2vF3z3syM2es2cBeRwGwiHg8sDNwQWY+VH8vMxdFxBXAnhFxbC0ItScwB7i4lvwSyiO19wNOqvKeBewLXJOZd3UrT0mSJEmStPZrt3fUtGklzdDQjG4XadLNnDmD5StWsPCeB8dOvBZZuXLlGt9mpz3A3lit0zz8seEw4Frg6og4G9gUeD9weWZe0UiUmddHxMXA8RExF7gd2BvYDNhnDeQpSZIkSdJAG/ThczNnzuBXv7uPJUtH7x01NKuEPoaXLl8TxZpUT9h4PaYxuPtwTeo0ALYH8CfgilZvZuZPI2Jn4DjgROAB4Czg0BbJ9wI+Vr1uBNwM7JqZ13Q7T0mSJEmSBt2gDp9reMLG67Fs2cNj9o6aPXsIgMWLh9dEsSbVxuuvO3YitaWjAFhm7tBGmh8Cf99GuiXAwdXfGs9TkiRJkjR1daN3VL8NtRvU4XMNBofUifFMgi9JkiRJ0lqtG72j+m2oncPnpFUMgEmSJEmSpqThZZPbO6rfhtrZQ0paxQCYJEmSJGk1U2EC9enTe10KSWuKATBJkiRJ0mqmwgTqDg+Upg4DYJIkSZKkliZ7iGA/cXigNLXY4VOSJEmSJEkDzR5gkiRJktShfpgfa9q0sv2hoRldyd85siQNEgNgkiRJktShfpgfa2hW+Tk3vHR5V/J3jixJg8QAmCRJkiSNQ6/nx5o9ewiAxYuHu5K/c2RJGiR2aJUkSZIkSdJAMwAmSZIkSZKkgWYATJIkSZIkSQPNOcAkSZIkTbp+eEpiN/mERElauxgAkyRJkjTp+uEpid3kExIlae1iAEySJElSV/T6KYnd5BMSJWntYqddSZIkSZIkDTQDYJIkSZIkSRpoBsAkSZIkSZI00AyASZIkSZIkaaAZAJMkSZIkSdJAMwAmSZIkSZKkgTaz1wWQJEmSppqZM6czffq0XhejbdOmlbIODc1oe52ZM2cw3dvtkqQ+YQBMkiRJWsOmT59G/n4Rw8tW9LoobRmaVX42DC9d3vY6T9h4Paax9gT5JEmDzQCYJEmS1APDy1aw8J4He12MtsyePQTA4sXDba+z8frrdqs4kiR1zE7JkiRJkiRJGmgGwCRJkiRJkjTQDIBJkiRJkiRpoBkAkyRJkiRJ0kAzACZJkiRJkqSBZgBMkiRJkiRJA80AmCRJkiRJkgaaATBJkiRJkiQNNANgkiRJkiRJGmgGwCRJkiRJkjTQDIBJkiRJkiRpoBkAkyRJkiRJ0kAzACZJkiRJkqSBZgBMkiRJkiRJA80AmCRJkiRJkgaaATBJkiRJkiQNNANgkiRJkiRJGmgGwCRJkiRJkjTQZva6AJIkSVIrQ0Mzel2Erpk5cwbTvRUtSdIaYwBMkiRJfefhh1fy8zvu63UxuuYJG6/HNKb1uhiSJE0ZbQfAIuJvgSOBFwLrALcDJ2bmObU0/1Sl2Rr4E/B54JjMXN6U14bA8cBuwHrA9cBBmbmgxXYnPU9JkiT1t5XAwnse7HUxumbj9dftdREkSZpS2up4HRGvBK6hBL4+ArwfuAJ4SlOaS4H7gPdW//4ocGJTXtOBbwBvAk4FPgg8Ebg6Ip7eYruTmqckSZIkSZKmljF7gEXEBsA5wBmZuf8oST8N/Ax4RWauqNZ9ADg0Ik7JzF9X6Xan9CLbLTMvrdJdBNwGHAHs1eU8JUmSJEmSNIW00wPszcCGlJ5XRMRjI+JRExZExNaUIYqfawSqKqdX23hdbdnuwF3A1xoLMvNu4CLgtRGxTrfylCRJkiRJ0tTTzhxgOwO3ArtGxPHApsD9EfE54LAqOLVtlfYn9RUz866I+EPtfap/35iZK5u2cwPwDuAZwK+6lOe4DM2ayezZQ+Ndva8NzZrJeuvNYvbs5q+uf82cWZ4ItcEGs3tcEjW4T/qT+6X/uE8kSZKk3minB9gzKHN9nVP9vQ74KnAIcEKVZm71urDF+guBJ9f+P3eUdNTSdiNPSZIkSZIkTTHt9ACbA2wEfCgzj6uWfSUi5gDvjoiPA41b2UtbrL+E8lTGhtmjpGu8X3+dzDzHZXjpchYvHp5IFn1reOkQDz20lOHhFWMn7hONnhOLFi3ucUnU4D7pT+6X/uM+6T+bbDKn10WQJEnSGtBOD7BGK/2CpuXnU54KuV0tzawW669be7+R30jp6tvrRp6SJEmSJEmaYtoJgDWGEf6xaXnj/xvV0sxldXMpE9TX8xspHbW03chTkiRJkiRJU0w7AbAbq9e/alq+afV6N7Cg+vcL6gki4slVugW1xQuA5zc/SRLYHngQ+E0t3WTnKUmSJEmSpCmmnQDYxdXr2xoLqkDTfsBfgB9l5i8oT4p8R0TMqK37LuBh4D9ryy6hTEr/mlp+mwCvB76WmcsAupGnJEmSJEmSpp4xJ8HPzBsjYj5waEQ8Afgp8CrgFcAHM/OBKunBwGXAtyPiQuA5wL8Bn8vM22pZXgL8CJgfEZ8G7gHeTQnGHdm0+W7kKUmSJEmSpCmknR5gAG8HjqEEvU4GngH8a2Z+qpEgM/8L+GfgccCp1b8/DryvnlFmrgB2BS6q3vsUZRjlTpn5m6a0k56nJEmSJEmSppYxe4ABZOYw8JHqb7R0lwKXtpHfnylDKPdrI+2k5ylJkiRJkqSpo90eYJIkSZIkSdJayQCYJEmSJEmSBlpbQyAlSZI0uCJiFnA0sCewEXATcFhmXtnGujsDhwPPpdxcvRU4MTMv6l6JJUmSOmMPMEmSJJ0DHAicB+wPPAxcHhE7jLZSRPwj8B3KTdUjKPPFrgAujIi3dbPAkiRJnbAHmCRJ0hQWEdsBbwIOzMyTqmXzgVuA44AXj7L6e4CFwMsyc2m17lnAHcBewOe7WHRJkqS22QNMkiRpatsdWAac3ViQmUsowasdI2LuKOuuD/y5Efyq1l0K/BlY3J3iSpIkdc4eYJIkSVPbtsCtmflg0/IbgGnANpReXq18Hzg0Ij5GGUYJsA/wLMqQygmZPXtooln0rZnrzGDmOjPWms84Y/o0oLN9srZ9xk71w+cbz37pRD98xm7qxufr9j7plPuw6Lf90olB34drkgEwSZKkqW0u8L8tljeCXk8eZd1jgKcDh1Emwgd4EPinzPzupJVQkiRpggyASZIkTW2zgaUtli+pvT+SpcBtwMXAV4EZwDuAiyLiZZn544kUbPHi4Yms3teWL1vB8mUr1prP2Oh50El517bP2Kl++Hzj2S+d6IfP2E3d+Hzd3iedch8W/bZfOjHo+3BNMgAmSZI0tS0GZrVYvm7t/ZGcCmwH/G1mPgwQERcBvwBOAv5+EsspSZI0bk6CL0mSNLUtpAyDbNZYdlerlSJiCNgP+K9G8AsgM5cBlwPbRYQ3WyVJUl8wACZJkjS1LQC2jIg5Tcu3r15vGmG9x1FGE8xo8d461XvTJqWEkiRJE2QATJIkaWq7hBKw2q+xICJmAfsC12TmXdWyp0bElrX1/gTcD/xzRKxTW3cO8Grglqo3mCRJUs/ZLV2SJGkKy8zrI+Ji4PiImAvcDuwNbAbsU0s6H3gJVa+uzFwREZ8GPg5cFxHnUXqDvQ3YFPjAGvsQkiRJY7AHmCRJkvYCTq5eT6H0CNs1M68ZbaXMPAbYA1gBHAF8DHgA+OfMvLCrJZYkSeqAPcAkSZKmuMxcAhxc/Y2UZt4Iy78EfKk7JZMkSZoc9gCTJEmSJEnSQDMAJkmSJEmSpIFmAEySJEmSJEkDzQCYJEmSJEmSBpoBMEmSJEmSJA00A2CSJEmSJEkaaAbAJEmSJEmSNNAMgEmSJEmSJGmgGQCTJEmSJEnSQDMAJkmSJEmSpIFmAEySJEmSJEkDzQCYJEmSJEmSBpoBMEmSJEmSJA00A2CSJEmSJEkaaAbAJEmSJEmSNNAMgEmSJEmSJGmgGQCTJEmSJEnSQDMAJkmSJEmSpIFmAEySJEmSJEkDzQCYJEmSJEmSBpoBMEmSJEmSJA00A2CSJEmSJEkaaAbAJEmSJEmSNNAMgEmSJEmSJGmgGQCTJEmSJEnSQDMAJkmSJEmSpIFmAEySJEmSJEkDzQCYJEmSJEmSBtrMsRJExDzgeyO8vVVm3lpL+0LgeOBvgAeAC4FDM/OhpjxnAUcDewIbATcBh2XmlS22P+l5SpIkSZIkaeropAfYSZTgUv3vrsabEbENcCWwLnAQcDbwTkrAqtk5wIHAecD+wMPA5RGxQz1RN/KUJEmSJEnS1DJmD7Ca72fmpaO8fyxwLzAvMx8EiIg7gbMi4qWZeVW1bDvgTcCBmXlStWw+cAtwHPDiLucpSZIkSZKkKaSjOcAi4rERsVrQLCLWB3YB5jcCVZX5wIPAG2rLdgeWUXpzAZCZS4DPAztGxNxu5SlJkiRJkqSpp5MeYF8E5gDLI+J7wPsz8+fVe8+t8vpJfYXMHI6IBcC2tcXbArc2BbUAbgCmAdsAC7uU57gMzZrJ7NlD4129rw3Nmsl6681i9uyVvS5K22bOnAHABhvM7nFJ1OA+6U/ul/7jPpEkSZJ6o50eYMPAJZR5tV4DHAVsB/wwIp5VpWn0sGoVZFoIPLn2/7mjpKOWtht5SpIkSZIkaYoZswdYZl4LXFtbdFlEfJ3SM+sIYA+gcSt7aYssltTep/r3SOmope1GnuMyvHQ5ixcPTySLvjW8dIiHHlrK8PCKXhelbY2eE4sWLe5xSdTgPulP7pf+4z7pP5tsMqfXRZAkSdIa0NEcYA2ZeRNwBfCyalGjJT+rRfJ1a+830o6Urp5XN/KUJEmSJEnSFDOuAFjl98DG1b8bQw1bTTY/F7ir9v+Fo6SjlrYbeUqSJEmSJGmKmUgA7GnA3dW/bwGWAy+oJ4iIIcoE9AtqixcAW0ZE85iD7avXm7qYpyRJkiRJkqaYMQNgEfH4Fst2BHYCvg2QmYsoQyL3bApC7Ul5cuTFtWWXAOsA+9XymwXsC1yTmXd1K09JkiRJkiRNPWNOgg9cGBEPUSbCvwd4DvCO6t9H1tIdVqW5OiLOBjYF3g9cnplXNBJl5vURcTFwfETMBW4H9gY2A/Zp2nY38pQkSZIkSdIU0s4QyEuBx1MCT58BXgd8CfjbzPyfRqLM/CmwM+VpjCcCbwfOAl7fIs+9gJOr11Movbd2zcxr6om6kackSZIkSZKmljF7gGXmKZSA0pgy84fA37eRbglwcPW3xvOUJEmSJEnS1DGRSfAlSZIkSZKkvmcATJIkSZIkSQPNAJgkSZIkSZIGmgEwSZIkSZIkDTQDYJIkSZIkSRpoBsAkSZIkSZI00AyASZIkSZIkaaAZAJMkSZIkSdJAMwAmSZIkSZKkgWYATJIkSZIkSQPNAJgkSZIkSZIGmgEwSZIkSZIkDTQDYJIkSZIkSRpoBsAkSZIkSZI00AyASZIkSZIkaaAZAJMkSZIkSdJAMwAmSZIkSZKkgWYATJIkSZIkSQPNAJgkSZIkSZIGmgEwSZIkSZIkDTQDYJIkSZIkSRpoBsAkSZIkSZI00AyASZIkSZIkaaAZAJMkSZIkSdJAMwAmSZIkSZKkgWYATJIkSZIkSQPNAJgkSZIkSZIG2sxeF0CSJEm9FRGzgKOBPYGNgJuAwzLzyjbXfzNwAPBsYCnwc+DgzLyhOyWWJEnqjD3AJEmSdA5wIHAesD/wMHB5ROww1ooR8XHgXOCWat2jgNuBJ3WrsJIkSZ2yB5gkSdIUFhHbAW8CDszMk6pl8ykBreOAF4+y7guBDwOvy8yvroHiSpIkjYs9wCRJkqa23YFlwNmNBZm5BPg8sGNEzB1l3f2BH2fmVyNiekTM6W5RJUmSxsceYJIkSVPbtsCtmflg0/IbgGnANsDCEdZ9GfDliDgWeC8wJyJ+R5k/7PyJFmz27KGJZtG3Zq4zg5nrzFhrPuOM6dOAzvbJ2vYZO9UPn288+6UT/fAZu6kbn6/b+6RT7sOi3/ZLJwZ9H65J9gCTJEma2ubSOsDVWPbkVitFxEbA4yjDJ98GHAL8C/B74LyI2G3yiypJkjQ+9gCTJEma2mZTntzYbEnt/VYawx0fB/xdZl4PEBFfBX4DfBSY0LxgixcPT2T1vrZ82QqWL1ux1nzGRs+DTsq7tn3GTvXD5xvPfulEP3zGburG5+v2PumU+7Dot/3SiUHfh2uSPcAkSZKmtsXArBbL1629P9J6AL9tBL8AMnMpcAnw184JJkmS+oUBMEmSpKltIWUYZLPGsrtGWO8+Ss+xP7Z474+U+cM2mHDpJEmSJoEBMEmSpKltAbBli95a21evN7VaKTMfrtb9qxZvbwqsoATJJEmSes4AmCRJ0tR2CbAOsF9jQUTMAvYFrsnMu6plT42ILZvWvRh4SkTsUlt3feANwLWZOdLwSUmSpDXKSfAlSZKmsMy8PiIuBo6PiLnA7cDewGbAPrWk84GXUIY2NpxBCZz9Z0ScCPyZ8kTIDYFDu196SZKk9tgDTJIkSXsBJ1evp1B6hO2amdeMtlJmPgTsBHwNeC/wCWARsPNY60qSJK1J9gCTJEma4jJzCXBw9TdSmnkjLP9/wJ7dKZkkSdLksAeYJEmSJEmSBpoBMEmSJEmSJA00A2CSJEmSJEkaaOOaAywiPggcB9yUmds0vfdC4Hjgb4AHgAuBQ6tJUuvpZgFHU+aM2Ai4CTgsM69ssb1Jz1OSJEmSJElTQ8c9wCLiScDhwF9avLcNcCWwLnAQcDbwTkrAqtk5wIHAecD+wMPA5RGxQ7fzlCRJkiRJ0tQxnh5gnwR+Qgmebdj03rHAvcC8zHwQICLuBM6KiJdm5lXVsu2ANwEHZuZJ1bL5wC2UnmUv7nKekiRJkiRJmiI66gFWBZneQumJ1fze+sAuwPxGoKoyH3gQeENt2e7AMkpvLuCRx29/HtgxIuZ2K09JkiRJkiRNLW33AIuIacCpwLmZuSAimpM8t8rvJ/WFmTkcEQuAbWuLtwVubQpqAdwATAO2ARZ2Kc+ODc2ayezZQ+NZte8NzZrJeuvNYvbslb0uSttmzpwBwAYbzO5xSdTgPulP7pf+4z6RJEmSeqOTHmB7AVtT5v9qpdHDqlWQaSHw5Ka0I6WjlrYbeUqSJEmSJGkKaasHWEQ8ljL31yczc6ReVI3b2UtbvLek9n4j7Ujp6nl1I8+ODS9dzuLFw+Ndva8NLx3ioYeWMjy8otdFaVuj58SiRYt7XBI1uE/6k/ul/7hP+s8mm8zpdREkSZK0BrTbA+xwYBj491HSNFrzs1q8t27t/UbakdLV8+pGnpIkSZIkSZpCxuwBVk0efwDwEeCJtbm/1gWGImJzYBGrhhq2mmx+LnBX7f8LR0lHLW038pQkSZIkSdIU0k4PsCcCQ8BxwG9rf9sDW1X/PgS4BVgOvKC+ckQMUSagX1BbvADYMiKaxx1sX73eVL12I09JkiRJkiRNIe0EwH4L7Nbi7xfAndW/52fmIuAKYM+mINSewBzg4tqyS4B1gP0aCyJiFrAvcE1m3gXQjTwlSZIkSZI0tYw5BLIKQl3avDwiDgCWZ2b9vcOAa4GrI+JsYFPg/cDlmXlFLc/rI+Ji4PhqiOXtwN7AZsA+TZvqRp6SJEmSJEmaItqdBL8tmflTYGfK0xhPBN4OnAW8vkXyvYCTq9dTKL23ds3Ma7qdpyRJkiRJkqaOMXuAjSQz542w/IfA37ex/hLg4OpvrLSTnqckSZIkSZKmhkntASZJkiRJkiT1GwNgkiRJkiRJGmgGwCRJkiRJkjTQDIBJkiRJkiRpoBkAkyRJkiRJ0kAzACZJkiRJkqSBZgBMkiRJkiRJA80AmCRJkiRJkgaaATBJkiRJkiQNNANgkiRJkiRJGmgGwCRJkiRJkjTQDIBJkiRJkiRpoBkAkyRJkiRJ0kAzACZJkiRJkqSBZgBMkiRJkiRJA80AmCRJkiRJkgaaATBJkiRJkiQNNANgkiRJkiRJGmgGwCRJkiRJkjTQDIBJkiRJkiRpoBkAkyRJkiRJ0kAzACZJkiRJkqSBZgBMkiRJkiRJA80AmCRJkiRJkgaaATBJkiRJkiQNNANgkiRJkiRJGmgGwCRJkiRJkjTQDIBJkiRJkiRpoBkAkyRJkiRJ0kAzACZJkiRJkqSBZgBMkiRJkiRJA80AmCRJkiRJkgaaATBJkiRJkiQNNANgkiRJkiRJGmgGwCRJkiRJkjTQDIBJkiRJkiRpoBkAkyRJkiRJ0kAzACZJkiRJkqSBZgBMkiRJkiRJA80AmCRJ0v9v797DJKvKQ42/PZfuae7gRBhEINH4gTE6KIIokYGIHvEGCIajclE5emJUQAVCQEXwBorgXW46TjhJuBhQYogJ6OhxCHBEB8TIJyDgZQa5Cg7MTM/t/LF3hW1N9UxVT1dX9e739zz97J611161di1218e3V60tSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFqbsbEKEbEncCrwfOCpwHsIkysAACAASURBVKPAYuCMzLy+qe6LgbPLuo8BlwKnZOYTTfWGgDOAI4FtgVuAUzPzuhavP+5tSpIkSZIkaepoZwbYMygSZRcC7wI+SZEI+35EHNioFBFzgeuAWcB7gYuAd1AkrJrNB04ALgGOA9YC10TEPtVK3WhTkiRJkiRJU8tGZ4Bl5qU0JZwi4kvALygSTf9RFn8MeAiYl5nLynr3ABdGxAGZ+Z2ybC/gCOCEzDyvLFsA3AacBby08lLdaFOSJEmSJElTyJjWACu/fvgAsA1ARGwFHAgsaCSqSguAZcAbKmWHAasoZnM12lsBXAzsGxFzutWmJEmSJEmSpp6NzgBriIgtgSHgKcDRwHMo1twC+POyrR9Wj8nMkYhYDOxRKd4DuL0pqQVwEzAAzAWWdqnNMRkcmsHw8OBYD+9rg0Mz2GyzIYaH1/W6K22bMWM6AFtvPdzjnqjBMelPjkv/cUwkSZKk3mg7AQZ8FXh9+fsI8GWKrygCNGZYtUoyLQWq63DNAX4zSj2AHbvYpiRJkiRJkqaYThJgHwbOB3aieNLiEDATWAk0bmWvbHHcisp+yt9Hq0elbjfaHJORlatZvnxkU5roWyMrB3niiZWMjKzpdVfa1pg58eijy3vcEzU4Jv3Jcek/jkn/mT17i153QZIkSROg7QRYZv4E+AlARFxC8dXE+RTrbzUi+aEWh86q7Kf8fbR6VOp2o01JkiQ1iYghiqUtjgS2BW4BTs3M6zps51+BVwKfyczjx72jkiRJYzTWRfBXAd8ADo2IYZ78qmGrxebnAEsq/166gXpU6najTUmSJK1vPnACcAnFU77XAtdExD4bOqgqIl6FT96WJEl9akwJsNIwxQLzWwK3AauBPasVImKQYgH6xZXixcBuEdH8nYO9y+0t5bYbbUqSJKkiIvYCjgBOysyTMvMC4ADgl8BZbbYxCJwLnN21jkqSJG2CjSbAIuKPWpRtBRwO/Coz78/MR4FrgSObklBHAlsAl1fKrqBYO+zYSntDwFuARZm5BKAbbUqSJGk9hwGrgIsaBZm5ArgY2DciWs2yb3Ycxc3RT3Wlh5IkSZuonTXALo2IFcD1wH3A0ykSSztR3C1sOLWsszAiLir3vw+4JjOvbVTKzBsj4nLg7DKgugs4GtgFOKbptbvRpiRJkp60B3B7Zi5rKr+JYrb/XFo/lRuAiNgB+ADwN5n5RER0raOSJElj1U4C7BLgKOA9FIui/g64ATgyM7/XqJSZP4qIl1FMlT8XeAy4EDilRZtHAWeW222BW4GDMnNRtVI32pQkSdIfmAP8pkV5I+m140aO/ziQFDHjuBoeHhzvJvvGjJnTmTFz+qQ5x+nTBoDOxmSynWOn+uH8xjIuneiHc+ymbpxft8ekU45hod/GpRN1H8OJtNEEWGZ+BfhKO41l5g+Al7RRbwVwYvkz4W1KkiTpvw0DK1uUr6jsb6lcP+woYL/MXNeFvkmSJI2LdmaASZIkqb6WA0MtymdV9q8nIgaAzwBfL29Yjn/Hlo90o9m+sHrVGlavWjNpzrEx86CT/k62c+xUP5zfWMalE/1wjt3UjfPr9ph0yjEs9Nu4dKLuYziRTIBJkiRNbUspvgbZrFE22sOEDgH2Av4uInZt2rdVWfbbzGyZQJMkSZpIG30KpCRJkmptMbBb01O3AfYut7eMctzOFLHkd4C7Kz9QPDDpbmC/8e2qJEnS2DgDTJIkaWq7Ang/cCxwHkBEDFEksRZl5pKybGdgs8y8vTzuauCeFu1dCfwLcDHwo672XJIkqU0mwCRJkqawzLwxIi4Hzo6IOcBdwNHALsAxlaoLKGZ0DZTH3VXW/QMRAXBXZl7V3Z5LkiS1zwSYJEmSjgLOLLfbArcCB2Xmop72SpIkaZyYAJMkSZriMnMFcGL5M1qdeW22NTBO3ZIkSRo3LoIvSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRam7GxChHxQuAYYH9gF+Ah4HrgtMy8s6nui4GzgecDjwGXAqdk5hNN9YaAM4AjgW2BW4BTM/O6Fq8/7m1KkiRJkiRp6mhnBtjJwKHAtcBxwAXAPODHEbF7o1JEzAWuA2YB7wUuAt5BkbBqNh84AbikbHMtcE1E7FOt1I02JUmSJEmSNLVsdAYY8GngjZk50iiIiEuBn1Akx44piz9GMTtsXmYuK+vdA1wYEQdk5nfKsr2AI4ATMvO8smwBcBtwFvDSymt3o01JkiRJkiRNIRudAZaZ11eTX2XZHcBPgd0BImIr4EBgQSNRVVoALAPeUCk7DFhFMZur0d4K4GJg34iY0602JUmSJEmSNPWMaRH8iBgAtgceLIv+nGI22Q+r9crE2WJgj0rxHsDtTUktgJuAAWBuF9uUJEmSJEnSFNPOVyBbeRPwNODU8t+NGVZLW9RdClTX4ZoD/GaUegA7drHNMRkcmsHw8OCmNNG3BodmsNlmQwwPr+t1V9o2Y8Z0ALbeerjHPVGDY9KfHJf+45hIkiRJvdHxDLCI2A34AvAD4O/L4kYkv7LFISsq+xt1R6tXbasbbUqSJEmSJGmK6WgGWETsAHwLeAQ4PDPXlruWl9uhFofNquxv1B2tXrWtbrQ5JiMrV7N8+cjGK05CIysHeeKJlYyMrOl1V9rWmDnx6KObNKwaR45Jf3Jc+o9j0n9mz96i112QJEnSBGg7ARYRWwPXAFsDL8nM+yq7G181bLXY/BxgSVPd0epRqduNNiVJkiRJkjTFtPUVyIiYBVwNPAt4dWZmU5XbgNXAnk3HDVIsQL+4UrwY2C0imm+57l1ub+lim5IkSZIkSZpiNpoAi4jpwKUUi84fnpk3NNfJzEeBa4Ejm5JQRwJbAJdXyq4AZgLHVl5jCHgLsCgzl3SrTUmSJEmSJE097XwF8hzgtRQzwLaLiDdX9i3LzKvK308FrgcWRsRFwE7A+4BrMvPaxgGZeWNEXA6cHRFzgLuAo4FdgGOaXrsbbUqSJEmSJGkKaScBNrfcvqb8qboXuAogM38UES8DzgLOBR4DLgROadHmUcCZ5XZb4FbgoMxcVK3UjTYlSZIkSZI0tWw0AZaZ89ptLDN/ALykjXorgBPLnwlvU5IkSZIkSVNHW4vgS5IkSZIkSZOVCTBJkiRJkiTVmgkwSZIkSZIk1ZoJMEmSJEmSJNWaCTBJkiRJkiTVmgkwSZIkSZIk1ZoJMEmSJEmSJNWaCTBJkiRJkiTVmgkwSZIkSZIk1ZoJMEmSJEmSJNWaCTBJkiRJkiTVmgkwSZIkSZIk1ZoJMEmSJEmSJNWaCTBJkiRJkiTVmgkwSZIkSZIk1ZoJMEmSJEmSJNWaCTBJkiRJkiTVmgkwSZIkSZIk1ZoJMEmSJEmSJNXajF53QJIkSb0VEUPAGcCRwLbALcCpmXndRo47FPgrYC9ge+CXwNXARzLz0a52WpIkqQPOAJMkSdJ84ATgEuA4YC1wTUTss5HjLgB2B/4eeA/w7XK7KCJmda23kiRJHXIGmCRJ0hQWEXsBRwAnZOZ5ZdkC4DbgLOClGzj8sMxc2NTezcDXyjbnd6HLkiRJHXMGmCRJ0tR2GLAKuKhRkJkrgIuBfSNizmgHNie/SleW293HsY+SJEmbxBlgkiRJU9sewO2Zuayp/CZgAJgLLO2gvR3K7YOb2rHh4cFNbaJvzZg5nRkzp0+ac5w+bQDobEwm2zl2qh/Obyzj0ol+OMdu6sb5dXtMOuUYFvptXDpR9zGcSM4AkyRJmtrm0DrB1SjbscP2TgbWAP+8KZ2SJEkaT84AkyRJmtqGgZUtyldU9rclIt4IvA34eGbetakdW758ZFOb6FurV61h9ao1k+YcGzMPOunvZDvHTvXD+Y1lXDrRD+fYTd04v26PSaccw0K/jUsn6j6GE8kZYJIkSVPbcmCoRfmsyv6Nioi/oFg37FvAB8ana5IkSePDBJgkSdLUtpTia5DNGmVLNtZARDwP+CZwK/BXmblm/LonSZK06UyASZIkTW2Lgd0iYoum8r3L7S0bOjgingH8G3A/8KrMfHz8uyhJkrRpTIBJkiRNbVcAM4FjGwURMQS8BViUmUvKsp0jYrfqgRGxA/DvwFrgFZm5yU9+lCRJ6gYXwZckSZrCMvPGiLgcODsi5gB3AUcDuwDHVKouAPYDBipl/wb8CXA2sG9E7FvZd1dm/mc3+y5JktQuE2CSJEk6Cjiz3G5LsZbXQZm5aCPHPa/cntRi39cAE2CSJKkvmACTJEma4jJzBXBi+TNanXktygZaVJUkSeo7rgEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWjMBJkmSJEmSpFqb0U6liJgDHAfsDewJbAHsn5kLW9R9LXA68GzgfuBi4KOZubqp3jbA2cAhwGbAjcB7M3PxRLQpSZIkSZKkqaHdGWABnAzsBNw6aqWIVwJXAQ8D7y5//yBwblO9acC3gCOAzwEnAdsDCyPiGd1uU5IkSZIkSVNHWzPAgJuB2Zn5UEQcDFw5Sr1PAT8GXpGZawAi4jHglIj4bGbeUdY7DHgxcEhmXlXWuwz4OfAh4KgutylJkiRJkqQpoq0ZYJn5+8x8aEN1IuLZFF9RPL+RqCp9sXyd11fKDgOWAN+ovMYDwGXAwRExs1ttSpIkSZIkaWppdwZYO/Yotz+sFmbmkoj4dWV/o+7NmbmuqY2bgLcDzwR+1qU2OzY4NIPh4cGxHNr3BodmsNlmQwwPN79t/WvGjOkAbL31cI97ogbHpD85Lv3HMZEkSZJ6YzyfAjmn3C5tsW8psGNT3dHqUanbjTYlSZIkSZI0hYznDLDG7eyVLfatoHgqY7XuaPWqbXWjzY6NrFzN8uUjYz28r42sHOSJJ1YyMrJm45X7RGPmxKOPLu9xT9TgmPQnx6X/OCb9Z/bsLXrdBUmSJE2A8ZwB1ojmh1rsm1XZ36g7Wr1qW91oU5IkSZIkSVPIeCbAGl81nNNi3xyKBeqrdUerR6VuN9qUJEmSJEnSFDKeCbDF5XbPamFE7AjsVNnfqPuCiBhoamNvYBlwZxfblCRJkiRJ0hQybgmwzPwpcDvw9oiYXtn118Ba4OuVsisoFqV/XaMgImYDhwPfyMxV3WpTkiRJkiRJU0vbi+BHxGnlr7uX2yMjYl/gd5n5+bLsROCbwLcj4lLgOcC7gPMz8+eV5q4AbgAWRMSngAeBd1Ik5E5veulutClJkiRJkqQpopMZYGeWP28s//3W8t/vb1TIzH8BDgWeAnyu/P0jwHuqDWXmGuAg4LJy3yeBB4D9M/POprrj3qYkSZIkSZKmjrZngGVm89pao9W7CriqjXqPAMeWPxPepiRJkiRJkqaG8VwEX5IkSZIkSeo7JsAkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGszet0B9daWmw8yY8b0XnejIwMDAwAMDrbf77Vr17F69dpudUmSJEmSJPUxE2BT3Mzp07j93kdYvnJ1r7vStsGh4j/bkTb7PDhzOvH0rbvZJUmSJEmS1MdMgImRVWtY+uCyXnejbcPDgwAsXz7SVv05s7foZnckSZIkSVKfcw0wSZIkSZIk1ZoJMEmSJEmSJNWaCTBJkiRJkiTVmgkwSZIkSZIk1ZoJMEmSJEmSJNWaCTBJkiRJkiTVmgkwSZIkSZIk1ZoJMEmSJEmSJNWaCTBJkiRJkiTVmgkwSZIkSZIk1dqMXndA6rYtNx9kxozpve5GV61du47Vq9f2uhuSJEmSJPUlE2CqvZnTp3H7vY+wfOXqXnelKwZnTieevnWvuyFJkiRJUt8yAaYpYWTVGpY+uKzX3eiKObO36HUXJEmSJEnqa64BJkmSJEmSpFozASZJkiRJkqRa8yuQ0iTXD4v8DwwMADA42L1+uNC/JEmSJGmsTIBJk1w/LPI/OFT8KRnpUh+222oWu+ywJdOmrelK+/3ABJ8kSZIkdU+tEmARMQScARwJbAvcApyamdf1tGNSl/V6kf/h4UEAli8f6Ur72201q+dJvm7ySZ6Sem1TYqiIeBpwLvByiuU1vgOckJl3d6/HkiRJnalVAgyYD7weOA+4EzgGuCYi9svM/+xhvyRtol4n+brpWbts15WvsU7EV1M74Sw3qa/NZwwxVERsAXwX2BL4KLAaOAFYGBFzM/ORLvdbkiSpLbVJgEXEXsARFHcczyvLFgC3AWcBL+1h9yRpVN36Gmu3v5raianwNdbp04vnyqxZM3qSr9+Skp0yiVlPmxhDvRN4JvCCzPxxeew15bEnAB/sYtclSZLaVpsEGHAYsAq4qFGQmSsi4mLgoxExJzOX9qx3krQB3Zjh1u2vpnai7l9jBXjqdpvx+8dHNniO/ZSU7NRUSGJOYZsSQx0G3NBIfpXH3h4R1wFvwASYJEnqE3VKgO0B3J6Zzf8HeRMwAMwFOk2AbQWwz3N3ZN2m968vDQwMwLp1vJA5ve5K19T9HOt+flD/c6z7+cGT51jXv6VQ/3NsnB/M7HVXumGrXnegx8YUQ0XENOC5wAUt2rwJODAiNsvMJ8bQp62mTxvgkAOeNYZDJ4ep9Le/rudY9/OD+p9j3c8P6n+OdT8/qO85Tp82ABMcg9UpATYH+E2L8kbAtuMY2lw7MDAwbfr0gcfG3q3JYKDXHZgAdT/Hup8f1P8c635+4DnWQS3Pbytgqn+vc6wx1HbAEK1vMC6l+A9mDnDXGPq0dmBgYNoMY7AaqPs51v38oP7nWPfzg/qfY93PD2p6jhMeg9UpATYMrGxRvqKyv1N1en8kSZJaGWsM1Sgf7/gLjMEkSdI4m9brDoyj5RR3IZvNquyXJEnSHxprDNUoN/6SJEl9r04JsKXQ8kuxjbIlE9gXSZKkyWKsMdTDFLO/Rjt2HZ2vvypJktQVdUqALQZ2i4gtmsr3Lre3THB/JEmSJoMxxVCZuRb4CbBni917A3eMcQF8SZKkcVenBNgVFI+mOrZREBFDwFuARZnpDDBJkqT1tRVDRcTOEbFbi2NfFBF7VI4N4ADg8m53XJIkqV0D69bV54HtEXEZcDBwLsUTh44GXgjsn5mLetk3SZKkftVODBURC4H9MnOgctyWwI+BzYFzgNXAeykeVzU3Mx+awNOQJEkaVZ1mgAEcBXym3H6W4m7mQSa/JEmSNmhMMVRm/h6YB/wA+ABwJsVXKvcz+SVJkvpJrWaASZIkSZIkSc3qNgNMkiRJkiRJ+gMmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUazN63YF+FBFDwBnAkcC2wC3AqZl5XU87VjMR8ULgGGB/YBfgIeB64LTMvLOp7ouBs4HnA48BlwKnZOYTTfUcu3EWEScBZwG3ZObcpn2OywQqr5nTgRcDM4G7gHMzc36lzmvLOs8G7gcuBj6amaub2tqGYuwOATYDbgTem5mLu30edRERfwp8BHgJxX/X9wILKMZkZaWe10kXRMQc4Dhgb2BPYAtg/8xc2KLuuF8X7bapzngdTAxjsMnBGKx/GIP1F2Ow3prMMZgzwFqbD5wAXEIxsGuBayJin152qoZOBg4FrqV4ny8A5gE/jojdG5UiYi5wHTALeC9wEfAOij9gzebj2I2biNgBOA14vMU+x2UCRcQrgUUUQdcHgPdRXDtPb6pzFfAw8O7y9w8C5za1NQ34FnAE8DngJGB7YGFEPKPb51IHEfE04CaKD/7PU/z3fTPwcYproVHP66R7guJzZCfg1lErdeG6aLdNjcl8vA4mgjFYnzMG6x/GYP3FGKwvTNoYzBlgTSJiL4o3/oTMPK8sWwDcRnEH5qU97F7dfBp4Y2aONAoi4lLgJxQX1DFl8cco7kzOy8xlZb17gAsj4oDM/E5Z5tiNv08AP6RIlm/TtM9xmSARsTXFB/OXMvO4DVT9FPBj4BWZuaY89jHglIj4bGbeUdY7jOIO5iGZeVVZ7zLg58CHgKO6ciL18maKa2LfzPxpWXZBRAwDR0TEWzNzFV4n3XQzMDszH4qIg4ErR6nXjeui3TbVAa+DCWUM1v+MwfqAMVhfMgbrvUkbgzkDbH2HAauoZI8zcwXFtLp9y+l+GgeZeX018CrL7gB+CuwOEBFbAQcCCxp/uEoLgGXAGypljt04Kj8M3kxxx6R5n+Mysd5I8UH/QYCI2DIiBqoVIuLZFNOAz298GJS+SPG3/vWVssOAJcA3GgWZ+QBwGXBwRMzsxknUzFbl9rdN5fdR/Pe+xuukuzLz95n50IbqdOO66LBNdcbrYIIYg/U3Y7C+YgzWf4zBemwyx2AmwNa3B3B704UCxTTLAWDu+odovJQfKNsDD5ZFf04xU/GH1Xpl0LaYYrwaHLtxUo7D54CvjbIegeMysV4G3A4cFBG/oljD4OGI+ERETC/rNN7z5jFZAvya9cfk5sxc1/Q6NwFbAs8c5/7X0ffK7cUR8byIeHpEvIli1sRZmbkWr5N+0I3ropM21Rmvgx4yBusPxmB9xxis/xiDTQ59GYOZAFvfHGBpi/JG2Y4T2Jep6E3A0yiyvVCMB4w+JtXxcOzGz1EU2fXTRtnvuEysZ1KsMzG//Hk9xVTjk4FzyjqOyQTKzH+nWAfkQIpA6pcU60aclZkfLqs5Jr3XjTHopE11xuugt4zB+oMxWH8xBuszxmCTRl/GYK4Btr5hYGWL8hWV/eqCiNgN+ALwA+Dvy+LG+z3amFTHw7EbBxGxJcW6E5/IzFZ/XMBxmWhbUDyR5m8z86yy7J8jYgvgnRHxETY+JptV/u2YjI+7gYUUgfBDwKuAD0fEA5n5ZbxO+kE3rotO2lRnvA56xBisPxiD9SVjsP5kDNb/+jIGMwG2vuXAUIvyWZX9Gmflk26+BTwCHF5OXYUn3+/RxqQ6Ho7d+DgNGKFYIHc0jsvEarxH/9hU/n+Aw4G9cEwmVEQcAZwPPKucdg1FQDwN+FS5mLRj0nvdGINO2lRnvA56wBisrxiD9R9jsD5jDDZp9GUM5lcg17eUJ6fWVTXKlrTYp01QPl3lGmBriqc53FfZ3bj7NdqYLGmq69htgnKRx+Mp7gJvHxG7RsSuFH9QBst/b4vjMtEa73fzYp+NfzsmE++dFGsVNL9X3wQ2B56HY9IPujEGnbSpzngdTDBjsP5hDNa3jMH6jzHY5NCXMZgJsPUtBnYrp7VW7V1ub5ng/tRaRMwCrgaeBbw6M7Opym3AamDPpuMGKRYkrC4O6thtuu2BQYpH/t5d+dmb4qlQd1OseeC4TKyby+3Tmsp3KrcP8OR73jwmO5b1msfkBc1PMaIYk2XAnZva4Slge2B6i/LG05tm4HXSD7pxXXTSpjrjdTCBjMH6jjFYfzIG6z/GYJNDX8ZgJsDWdwXFxXNsoyAihoC3AItaZJo1RuWTUy4F9qGYcn9Dc53MfBS4Fjiy6Y/SkRTfyb+8UubYbbq7gUNa/PwUuKf8fYHjMuEa7+fbGgXlB8SxwOPADZn5U4qnFL298lQigL8G1gJfr5RdQbFI5Osq7c2mmMr/jcxc1Y2TqJmfA3tGxDOayv8nsAa41euk97pxXXTYpjrjdTBBjMH6kjFYfzIG6z/GYJNAv8ZgA+vWNT9pUhFxGXAwcC5wF3A08EJg/8xc1Mu+1UlEnAccR3H38bKm3csy86qy3vOB6yky+RdRZHffB3w3Mw9qatOx64KIWAhsk5lzK2WOywSKiK9RfGhfDPyIYrHPVwEnZeYnyzqvppj+/R2K/7F5DvAu4PzMfGelrekUCx3/GfApikfev5PiKUcvyEzvPm5ERLyU4n1+EPg88DDwauCVwJcz86/Lel4nXRQRjaek7Q68EfgKxf9E/i4zP1/WGffrot021Tmvg4lhDDZ5GIP1njFYfzEG6w+TNQYzAdZCOSX8TODNFN/rvhX4u8y8tqcdq5nyA32/UXbfm5m7VuruSzEl/PnAYxT/sZ+SmY83tenYdUGr4Kssd1wmSDll+wMUH8g7AL8Azs3M85vqHQx8iOLD6AGKD6MzM3N1U71tgU9SfNgPAzcB78vMH3X5VGojIvYCTgf2AJ5C8aH/VeCTmbmmUs/rpEsiYrQgpvkzZNyvi3bbVGe8DiaGMdjkYQzWe8Zg/ccYrPcmawxmAkySJEmSJEm15hpgkiRJkiRJqjUTuRWAMQAACdpJREFUYJIkSZIkSao1E2CSJEmSJEmqNRNgkiRJkiRJqjUTYJIkSZIkSao1E2CSJEmSJEmqNRNgkiRJkiRJqjUTYJL6QkTMi4h1EXFMj/uxLiLm97IPkiRJE8UYTNJUMaPXHZCkiRQR2wDHAwszc2GPuzNlRMTxwO8yc36v+yJJkiaeMVhvGINJTzIBJmmq2Qb4UPn7whb7h4E1E9abqeN44B5gfm+7IUmSesQYrDeMwaSSCTBpkouI6cBQZj4xwa87AGyemcsm8nW7LTNX9LoPkiSp/xmDjS9jMEndZgJMmkTKtRm+ChwI7AMcA+wM/C/KuzoRsSdwKvAXwJYUd3wWAGdl5upKWwuBXYEDgHOBecAAcB3wvsz8RaXuPOC7wFuAzYG/AZ4BfBw4vazzUuADwF7AIPAz4AuZeXGL83hdedzuwANl37/fot7pFHcK/zgz72nadw9wT2bOayrfH3g/8KKyr0vKvp8MPKf8HeBDEdG4C3lvZu5aHr8O+FpmHtPU7rHAO8s+jwA3Amdk5g+a6q0DvgacD3wC2BNYAVwJHF8NViPi6cCHgb8EdgAeBe4Ezs/MrzW/Hy3en63K8zoU+GPgcYr3/fOZ+U+Ves8tX+el5XvyC4r3/JzMXFOptxDYtfFeVMp3Be4GPpyZp5dl83jyv4kBivf8mcB9FON+dtN7ArBL5XdoMa6SJPUjY7A/2HcPxmDGYNIkZAJMmpw+BcwELgQeAxIgIl4F/DPFB/g5wMMUQdoZwFzg8KZ2NqeYgn4jcArwpxQBxosiYo/MvK+p/vHAU8rXvQ/4Vfm6r6EILu4rX/f3wBHARRHxJ5l5aqOBiDgE+DpFUHgGsJriA/xVY387/rvtdwBfAn5Tbu+lCE5fA+xEEZicQBFsXknxXgFs8A5qRJwFnATcBPwdRVD7duC7EfG6zPzXpkPmAv9CESj/A0Vg+zZgbXkcETED+A/gacAXgZ8DWwPPpQicNxh8leto/AD4M+CK8nynA3sArwb+qay3J/A9YBXwBYoxeg1wFvA84E0bep02/G9ge+Bi4HfAm4GzIuLXmfkPZZ0jKd7zB4GPVo59YBNfW5KkiWYM1oIxmDGYNBmYAJMmp2Fgj+qU+4iYRfEBeCNwQOVO4/kRcQvw6YiY17To6GzgM5l5fKWd71MEJadTfLBW7Qzslpn3V+pPBz5PEcDslZlLyvIvUNyd+tuImJ+Zd5R1P0MRFO6VmQ+Wdc8Hbt2UNyQidgI+C9wOvDgzf1fZ/YGImJaZayPiKopA4NbMvKSNdgM4EVhE8b6OlOUXAf8FfDEinlG9i0cRQO2TmTeW/z6/vFP4loh4b3kH8tlAACdX79R14GMUgdc7MvOCpj5Xn/D7GWCo7M+t5f7PA5cCb4yIr2TmdWN4/Yadgd0z89Gy7a9QBL3vpgg8ycxLIuIjwG/bec8lSepjxmBNjMH+oM/GYFIfm7bxKpL60JdarDdxIMVdoK8C20TE7MYP0Lg79vIWbX2i+o/MvJLibubBLeouqAZepRdQfAB/pRF4le2MAGdT/J15XaXu04GvNgKvsu6jwJdHO9k2HU4x7f/DTYFX4zXWjrHd11FMLz+7EXiV7S2heK93objjV/WflcCr4TsUNx12Lf/9aLndPyKe2kmHyuDqCOBnzYFX2be1Zb2nAi8GvtkIvMr963jyLuAhnbx2C19tBF5l208AN1DcyZYkqW6MwdZnDPZk34zBpD5mAkyanH7eomz3cvsVimnN1Z/by33bNx3zuxZT7KGYpr59RGzexuv+cbn9aYt9jbI/adre3qLuf7Uo60Tjw/7Hm9hOs07Or+EXzRWBh8rtUwAy816KAOjlwNKIuDkizo6IF7bRp9nAtsDijdTbUN9/RvF1gOa+d2q0c33KJrYrSVI/MgZbnzHY+ozBpD5kAkyanFo9bWig3J5IcSey1c85XXjdblq3gX39/BXuDT3CuzFOZOZpFEHj8cBdwLHATeV6F70w2vu9offax5VLkqYSYzBjsG4wBpMmQD//8ZLUmTvK7eOZeW2bx2wTETu0uAO5O3B/Zj7eRhuNu09/1mLfs5vqNLa7baBu1cPldjuKBVuB/15rYw7FQrMNjTujc2l9l7RhQwFdK9Xzu6tpX/P5dax80tPngM+V5/Vt4KSIOKfFVx0aHgQeoVhAdUPuLretxmY3ipsg1b4/TPEViWabeocSOn/fJUmaLIzBCsZgTzIGk/qQM8Ck+vg2cD/FgqfbNe+MiOGI2LLFcX/bVO8QioVBr2rzdX8E/JJicdEdKu3MpLgTug74Rll8M/Drsu7sSt2tWH+xV3gyiHpZU/kJrP/36wqKR2N/qGzvD0RE465f42lD671Ho/hmeQ4nlufUaG8OxZOT7mUMU/4jYutqewCZuYJiWjwU0+tbKteX+Efg2RHxthZtD5T17geuB14TEc9p2n9K+c8rK4f+HNgyIvaq1J1G8X5vqmW0/55LkjSZGIMZgzXaNgaT+pgzwKSayMzHI+IoiqApyyfB3AlsQ3Gn6VCKxTYXVg57EDg0InYsyxuP4P4txROI2nndNRHxLooP8f8XERdQPIL7r4AXAR/LzDsqdU8ALqOYZn4hxSO430qxZsHOTc1fS7EY7BkR8RSKu2n7lu0+WK2Ymb+OiOMpHjP9k4hYQBEYPY1iEdW3Aosz86GIuBM4IiLuKs/18cy8epTzy4j4JMUjuL8fEZfy5CO4twDe1PT0oXbtD1wQEV8vz3EZxZ2/Y4EbMzM3cvxpwAEUjzl/OcXjuAcoFoOdQfHYa4DjKB7B/X/Lp0LdR/GI7lcA/9D09KELgPcBV0bEZyiC2cMYn8+KG4C3RcSZPLn2xdVt3uGWJKlvGYMZg2EMJk0KzgCTaiQzvw28kOJO5JspApH3U0yn/zTrP+b6cWAexSOaP0Hxwf9vwL6ZubSD170a+EuKhVVPLNuaBRybmac21b2C4gP9MYoA7z0Udw5PbtHuGuC1FIHhu8t2B4H9yr431/8S8D8o7qK9h+LR4EdT3PX8VaXqmyi+rvAxirt4n9vI+Z1MEWzNKvtwYnmuB2Tmv27o2A24heJR5/OAMygelT2v7NMrNnZwZj4C7AN8kiJoOwf4EPBM4OpKvR9SPIXoexSB9TkUT006GTiqqc27KZ489QBwJkXAuYjiPdxUp1IE6H8DXELxvv/ROLQrSVLPGYMZg2EMJvW9gXXr/EqwNBVFxEJg18zctcddkSRJmjKMwSSpN5wBJkmSJEmSpFozASZJkiRJkqRaMwEmSZIkSZKkWnMNMEmSJEmSJNWaM8AkSZIkSZJUaybAJEmSJEmSVGsmwCRJkiRJklRrJsAkSZIkSZJUaybAJEmSJEmSVGv/H0mfZVhs3qBmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1440x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_distribution(plays, column=\"artist_id\", elements=\"reproductions\", xlim=(0,1000))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Armando Sessiones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "plays[\"timestamp\"] = pd.to_datetime(plays[\"timestamp\"])\n",
    "user_id_group = plays.sort_values(\"timestamp\").groupby(\"user_id\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "delta = pd.Timedelta('800s')\n",
    "\n",
    "def aux(row):\n",
    "    sesstions = []\n",
    "    session = []\n",
    "    last_time = None\n",
    "    for timestamp,track_id in zip(row[\"timestamp\"], row[\"track_id\"]):\n",
    "        if last_time == None or timestamp - last_time < delta:\n",
    "            session.append((timestamp, track_id))\n",
    "        else:\n",
    "            sesstions.append(session)\n",
    "            session = []\n",
    "            \n",
    "        last_time = timestamp\n",
    "    return sesstions\n",
    "\n",
    "asd = user_id_group.apply(aux)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_sessions = []\n",
    "for a in asd:\n",
    "    for s in a:\n",
    "        all_sessions.append(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1345697"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(all_sessions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[(Timestamp('2006-08-13 13:59:20'), 'c4633ab1-e715-477f-8685-afa5f2058e42'),\n",
       "  (Timestamp('2006-08-13 14:03:29'), 'bc2765af-208c-44c5-b3b0-cf597a646660'),\n",
       "  (Timestamp('2006-08-13 14:10:43'), 'aa9c5a80-5cbe-42aa-a966-eb3cfa37d832'),\n",
       "  (Timestamp('2006-08-13 14:17:40'), 'd9b1c1da-7e47-4f97-a135-77260f2f559d'),\n",
       "  (Timestamp('2006-08-13 14:19:06'), '120bb01c-03e4-465f-94a0-dce5e9fac711'),\n",
       "  (Timestamp('2006-08-13 14:23:03'), '777ac51f-8ffc-4c44-92b6-a2c75cbc6915')],\n",
       " [(Timestamp('2006-08-13 14:55:14'), '8e81302a-6cde-4818-8703-43b5356ce0a0'),\n",
       "  (Timestamp('2006-08-13 14:59:59'), '1c0377bb-c00b-4bbe-b4b2-615f13324adc'),\n",
       "  (Timestamp('2006-08-13 15:05:20'), '8f916d23-0510-4ad5-9a7f-8a076c3f14ca'),\n",
       "  (Timestamp('2006-08-13 15:12:12'), '9f51e011-56cf-459e-9077-e928bbb13ff4'),\n",
       "  (Timestamp('2006-08-13 15:17:35'), '4c7d5a2c-e1da-4fe3-96e3-c40a7a6f59e8'),\n",
       "  (Timestamp('2006-08-13 15:23:08'), '6cb57d5e-da03-4bcd-b7b5-b08023890b42'),\n",
       "  (Timestamp('2006-08-13 15:28:44'), '8349030c-a3ab-4ced-9064-842aa894eacf'),\n",
       "  (Timestamp('2006-08-13 15:36:22'), 'df8c41f0-1c02-4060-81ca-035ef3085663'),\n",
       "  (Timestamp('2006-08-13 15:40:13'), '523eaf59-8298-4b1c-9950-5864c5f4c1ff'),\n",
       "  (Timestamp('2006-08-13 15:44:17'), 'ef756a43-0905-4e59-8f05-a6b2bd977aa8'),\n",
       "  (Timestamp('2006-08-13 15:49:22'), '099eaa23-3846-4670-a4d2-ca909b7b1f15'),\n",
       "  (Timestamp('2006-08-13 15:55:42'), 'd0e9563a-dd03-4913-ae1d-3b54922ef3df'),\n",
       "  (Timestamp('2006-08-13 16:00:07'), '1c061863-1d3e-4066-aa93-5c9ce0bf72f2')]]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_sessions[:2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "save_to_pickle(all_sessions, \"data/last_fm_sessions_800s\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}