R Spotify Music Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "283076dc",
   "metadata": {},
   "source": [
    "# run in terminal b4hand: \n",
    "1. `ctrl+c jupyter notebook`\n",
    "2. `pyenv activate music` \n",
    "3. `R -e 'IRkernel::installspec()'`\n",
    "4. `restart jupyter notebook`"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3c259dd",
   "metadata": {},
   "source": [
    "# Analysis of numeric song audio data in R..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7eb095b2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: ggplot2\n",
      "\n",
      "Loading required package: reshape2\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# library imports\n",
    "require(ggplot2)\n",
    "require(reshape2)\n",
    "\n",
    "# data imports\n",
    "options(scipen=999) # To avoid scientific notation\n",
    "data_path = \"/Users/dayoorigunwa/code_base/music_mapping/data/\"\n",
    "file_1 = \"12178525311-yeye.csv\"\n",
    "file_2 = \"12178525311-I'm Just Snacking.csv\" \n",
    "df.1 <- read.csv(\"/Users/dayoorigunwa/code_base/music_mapping/data/12178525311-yeye.csv\")\n",
    "df.2 <- read.csv(\"/Users/dayoorigunwa/code_base/music_mapping/data/12178525311-I'm Just Snacking.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "865c7200",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "'Statistics from playlist: yeye.csv'"
      ],
      "text/latex": [
       "'Statistics from playlist: yeye.csv'"
      ],
      "text/markdown": [
       "'Statistics from playlist: yeye.csv'"
      ],
      "text/plain": [
       "[1] \"Statistics from playlist: yeye.csv\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            feature            mean             sd type\n",
      "1            energy      0.73108333     0.09126630    i\n",
      "2          liveness      0.12329167     0.06757601    i\n",
      "3             tempo    103.98041667     8.74848337    e\n",
      "4       speechiness      0.15291667     0.09608622    i\n",
      "5      acousticness      0.23795000     0.18782243    i\n",
      "6  instrumentalness      0.02454586     0.07435343    i\n",
      "7    time_signature      4.00000000     0.00000000    e\n",
      "8      danceability      0.74391667     0.15688992    i\n",
      "9               key      7.58333333     3.80091695    e\n",
      "10      duration_ms 188619.50000000 28814.80101520    e\n",
      "11         loudness     -5.83483333     1.49924301    e\n",
      "12          valence      0.63175000     0.19306858    i\n",
      "13             mode      0.50000000     0.52223297    e\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "'Statistics from playlist: I\\'m Just Snacking.csv'"
      ],
      "text/latex": [
       "'Statistics from playlist: I\\textbackslash{}'m Just Snacking.csv'"
      ],
      "text/markdown": [
       "'Statistics from playlist: I\\'m Just Snacking.csv'"
      ],
      "text/plain": [
       "[1] \"Statistics from playlist: I'm Just Snacking.csv\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            feature            mean             sd type\n",
      "1            energy      0.61073684     0.13341241    i\n",
      "2          liveness      0.15263684     0.07339658    i\n",
      "3             tempo    113.98557895    30.24349361    e\n",
      "4       speechiness      0.06904211     0.07026117    i\n",
      "5      acousticness      0.28964237     0.19714831    i\n",
      "6  instrumentalness      0.04323256     0.17451464    i\n",
      "7    time_signature      3.89473684     0.31530177    e\n",
      "8      danceability      0.63221053     0.14006133    i\n",
      "9               key      7.21052632     3.47337408    e\n",
      "10      duration_ms 209421.73684211 40833.24669085    e\n",
      "11         loudness     -7.06400000     2.09572321    e\n",
      "12          valence      0.62347368     0.12597856    i\n",
      "13             mode      0.78947368     0.41885391    e\n"
     ]
    }
   ],
   "source": [
    "# NOTE: df.1 is afrobeats, and df.2 is indie-pop\n",
    "\n",
    "# data formatting...\n",
    "df.1 <- df.1[complete.cases(df.1),]\n",
    "df.2 <- df.2[complete.cases(df.2),]\n",
    "\n",
    "# statistical analysis...\n",
    "df.1.mean <- sapply(df.1[1:13],mean)\n",
    "df.1.sd <- sapply(df.1[1:13],sd)\n",
    "\n",
    "df.1.stats <- data.frame(feature=colnames(df.1[1:13]), mean = df.1.mean,\n",
    "                         sd = df.1.sd, type = c('i','i', 'e', 'i', 'i', 'i',\n",
    "                                                'e', 'i', 'e', 'e', 'e', 'i', 'e'))\n",
    "rownames(df.1.stats) <- NULL\n",
    "\n",
    "df.2.mean <- sapply(df.2[1:13],mean)\n",
    "df.2.sd <- sapply(df.2[1:13],sd)\n",
    "\n",
    "df.2.stats <- data.frame(feature=colnames(df.2[1:13]), mean = df.2.mean,\n",
    "                         sd = df.2.sd, type = c('i','i', 'e', 'i', 'i', 'i',\n",
    "                                                'e', 'i', 'e', 'e', 'e', 'i', 'e'))\n",
    "rownames(df.2.stats) <- NULL\n",
    "sprintf(\"Statistics from playlist: %s\", strsplit(file_1,  \"-\")[[1]][2])\n",
    "\n",
    "print(df.1.stats)\n",
    "\n",
    "sprintf(\"Statistics from playlist: %s\", strsplit(file_2,  \"-\")[[1]][2])\n",
    "print(df.2.stats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7d6f3f5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
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WOenUHK25udGcvjknVQkdesqmeRIMU2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\n9AAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot 1.1\n",
    "# Implicit features\n",
    "# Mean of features\n",
    "df.1.i <- df.1.stats[df.1.stats$type == 'i',]\n",
    "\n",
    "ggplot(df.1.i, aes(x = reorder(feature, -mean), y = mean)) +\n",
    "  geom_bar(stat='identity', fill = '#00BFC4') +\n",
    "  theme(axis.text = element_text(colour = 'black')) +\n",
    "  ggtitle(\"Mean value of audio features of afrobeats playlist\") +\n",
    "  xlab(\"Features\") +\n",
    "  ylab(\"Mean\") +\n",
    "  theme(axis.text.x = element_text(angle = 90, hjust = 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ced0cce3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dGG7Oh/I273HeuXLCnNn1EUt/NvLtHmGDfqiQctx/o0Hg4et2uP4fEcuuZSrHfj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\nAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot 2.1\n",
    "df.2.i <- df.2.stats[df.2.stats$type == 'i',]\n",
    "\n",
    "ggplot(df.2.i, aes(x = reorder(feature, -mean), y = mean)) +\n",
    "  geom_bar(stat='identity', fill = '#F8766D') +\n",
    "  theme(axis.text = element_text(colour = 'black')) +\n",
    "  ggtitle(\"Mean value of audio features of indie-pop playlist\") +\n",
    "  xlab(\"Features\") +\n",
    "  ylab(\"Mean\") +\n",
    "  theme(axis.text.x = element_text(angle = 90, hjust = 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c012692a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3z77bftq6++sjvvvLNgftEh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\nAAEEECgPgf8HYg70edCBMQYAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot 1.1 vs. 2.1\n",
    "df.mean.difference <- data.frame(feature = df.1.i$feature,\n",
    "                                 difference = df.1.i$mean - df.2.i$mean)\n",
    "\n",
    "df.mean.difference$who <- ifelse(df.mean.difference$difference > 0, 'afrobeats', 'indie-pop')\n",
    "\n",
    "ggplot(df.mean.difference, aes(x = reorder(feature, -difference), \n",
    "                               y = difference, fill = who)) +\n",
    "  geom_bar(stat='identity') +\n",
    "  ggtitle(\"Difference between audio features mean of afrobeats songs and indie-pop\") +\n",
    "  xlab(\"Feature\") +\n",
    "  ylab(\"Difference\") +\n",
    "  theme(axis.text.x = element_text(angle = 90, hjust = 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "45ba4bc6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CPghwPfmAziERCJkACVLIAp6b09Va+a+//rqMGDFCvv/+e1m7dq0wr0tuBN3fVuOh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\n4ctMoW/KdVwZi78CDCr31z+no3/xxReiH9LltFSsWFEaNmyY0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UqVMpXSnnnmGdFqg6NHj/ayKRwriQBdgpLAsBqBMxA4fvy4KZlft25d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\n8R/pg9sAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot 2.2\n",
    "# Sparsity, or variety of playlists\n",
    "ggplot(df.1.i, aes(x = reorder(feature, -sd), y = sd)) +\n",
    "  geom_bar(stat='identity', fill = '#00BFC4') +\n",
    "  theme(axis.text = element_text(colour = 'black')) +\n",
    "  ggtitle(\"Standard deviation of the audio features scores of afrobeats playlist\") +\n",
    "  xlab(\"Feature\")+\n",
    "  ylab(\"Standard Deviation\") +\n",
    "  theme(axis.text.x = element_text(angle = 90, hjust = 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b4850c18",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.867062893567768"
      ],
      "text/latex": [
       "0.867062893567768"
      ],
      "text/markdown": [
       "0.867062893567768"
      ],
      "text/plain": [
       "[1] 0.8670629"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ii4zA448/LosWLZL33ntPKleujIqlAkOGDJEPPvhA3nnnHalataqlraRZTzzxhCxc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\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sum(df.1.i$sd)\n",
    "\n",
    "ggplot(df.2.i, aes(x = reorder(feature, -sd), y = sd)) +\n",
    "  geom_bar(stat='identity', fill = '#F8766D') +\n",
    "  theme(axis.text = element_text(colour = 'black')) +\n",
    "  ggtitle(\"Standard deviation of the audio features scores of indie-pop playlist\") +\n",
    "  xlab(\"Feature\")+\n",
    "  ylab(\"Standard Deviation\") +\n",
    "  theme(axis.text.x = element_text(angle = 90, hjust = 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "78e1917c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.914772990623561"
      ],
      "text/latex": [
       "0.914772990623561"
      ],
      "text/markdown": [
       "0.914772990623561"
      ],
      "text/plain": [
       "[1] 0.914773"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No id variables; using all as measure variables\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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BAgQIBA0wQEpKZROxABAgQIECBAgAAB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\nwP8B9pg41A/ilMkAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sum(df.2.i$sd)\n",
    "\n",
    "df.1.long <- df.1[ ,c('energy', 'liveness', 'speechiness', \n",
    "                      'acousticness', 'instrumentalness',\n",
    "                      'danceability', 'valence')]\n",
    "df.1.long <- melt(df.1.long)\n",
    "\n",
    "ggplot(df.1.long, aes(factor(variable), value)) + geom_boxplot() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a4aac979",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No id variables; using all as measure variables\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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BAgQIAAAQIECGRGQEDKTKl0lAABAgQIECBAgACBZgsISM0W1j4BAgQIECBAgAAB\nApkREJAyUyodJUCAAAECBAgQIECg2QICUrOFtU+AAAECBAgQIECAQGYEBKTMlEpHCRAgQIAA\nAQIECBBotoCA1Gxh7RMgQIAAAQIECBAgkBmB9sz0VEcJECBAgAABAgQIpFjg5ZdfDldffXVY\nvnx5Knv5yCOPJP264oorQmdnZyr7uN1224X3vve9w9o3AWlY+e2cAAECBAgQIEAgLwK//e1v\nw49//OPUD+eee+5JbR/vv/9+ASm11dExAgQIECBAgAABAjUIrFy5Mln7pJNOCu9+97tr2NKq\nUeAjH/lIWLFixbBjOII07CXQAQIECBAgQIAAgTwJrLnmmmGjjTbK05BaMpaOjo5UBCQ3aWhJ\nue2EAAECBAgQIECAAIEsCDiC1KIqPfXUU+Giiy4KXV1dLdpjbbv5+9//nmxwxhlnhPb2dH5b\n7LzzzuGII46obWDWJkCAAAECBAgQIFCDQDrfCdcwgKys+oc//CHEf2mf/vznP6e2i6+88oqA\nlNrq6BgBAgQIECBAIB8CAlKL63j++eeHAw44oMV7zf7udtlll+wPwggIECBAgMAbFFi0aFH4\n/ve/n9rbRz/22GPJyK6//vowYcKENzjK5m62zTbbhJkzZzZ3J1rPhYCA1OIyjhgxIowc6dKv\nFrPbHQECBAgQyLRAvC1z/HydtE8//OEPU9vFyZMnC0iprU66OiYgpaseekOAAAECBAgQWEWg\np6cnmXf00UeH3XfffZXlZlQWOPnkk0N3d3fllSwl8E8BAcm3AgECBAgQIEAgIwKbbrppePvb\n356R3qanm6NHjw7Lli1LT4f0JNUCzvVKdXl0jgABAgQIECBAgACBVgoISK3Uti8CBAgQIECA\nAAECBFItICClujw6R4AAAQIECBAgQIBAKwUEpFZq2xcBAgQIECBAgAABAqkWEJBSXR6dI0CA\nAAECBAgQIECglQICUiu17YsAAQIECBAgQIAAgVQLCEipLo/OESBAgAABAgQIECDQSgEBqZXa\n9kWAAAECBAgQIECAQKoFBKRUl0fnCBAgQIAAAQIECBBopYCA1Ept+yJAgAABAgQIECBAINUC\nAlKqy6NzBAgQIECAAAECBAi0UkBAaqW2fREgQIAAAQIECBAgkGoBASnV5dE5AgQIECBAgAAB\nAgRaKdDeyp3ZFwECBAgQIECAAIG8C/zyl78MixcvzvswGz6+hQsXhra2toa3W2uDAlKtYtYn\nQIAAAQIECBAgUEHg1ltvDfGfqXaBSZMm1b5Rg7dwil2DQTVHgAABAgQIECBAgEB2BQSk7NZO\nzwkQIECAAAECBAgQaLCAU+waDKo5AgQIECBAgACBYgvMmjUrHHDAAcVGeAOjP/TQQ8Py5cvf\nwJaN3URAaqyn1ggQIECAAAECBAousNpqq4UpU6YUXKH24afhBg2x106xq712tiBAgAABAgQI\nECBAIKcCAlJOC2tYBAgQIECAAAECBAjULiAg1W5mCwIECBAgQIAAAQIEciogIOW0sIZFgAAB\nAgQIECBAgEDtAgJS7Wa2IECAAAECBAgQIEAgpwICUk4La1gECBAgQIAAAQIECNQuICDVbmYL\nAgQIECBAgAABAgRyKiAg5bSwhkWAAAECBAgQIECAQO0CAlLtZrYgQIAAAQIECBAgQCCnAgJS\nTgtrWAQIECBAgAABAgQI1C4gINVuZgsCBAgQIECAAAECBHIqICDltLCGRYAAAQIECBAgQIBA\n7QICUu1mtiBAgAABAgQIECBAIKcCAlJOC2tYBAgQIECAAAECBAjULiAg1W5mCwIECBAgQIAA\nAQIEciogIOW0sIZFgAABAgQIECBAgEDtAgJS7Wa2IECAAAECBAgQIEAgpwICUk4La1gECBAg\nQIAAAQIECNQuICDVbmYLAgQIECBAgAABAgRyKiAg5bSwhkWAAAECBAgQIECAQO0CAlLtZrYg\nQIAAAQIECBAgQCCnAgJSTgtrWAQIECBAgAABAgQI1C4gINVuZgsCBAgQIECAAAECBHIqICDl\ntLCGRYAAAQIECBAgQIBA7QICUu1mtiBAgAABAgQIECBAIKcCAlJOC2tYBAgQIECAAAECBAjU\nLiAg1W5mCwIECBAgQIAAAQIEciogIOW0sIZFgAABAgQIECBAgEDtAgJS7Wa2IECAAAECBAgQ\nIEAgpwLtOR2XYREgQIAAAQIEcifw17/+Ndxzzz25G1ezB7Rs2bJm70L7ORIQkHJUTEMhQIAA\nAQIE8i3w7W9/O8R/ptoFJk2aVPtGtiikgFPsCll2gyZAgAABAgQIECBAoJyAgFROxTwCBAgQ\nIECAAAECBAop4BS7QpbdoAkQIECAAIEsChx55JHhHe94Rxa7Pqx9PvXUU8OIESOGtQ92nh0B\nASk7tdJTAgQIECBAoOACm2++edhtt90KrlD78MeMGRPcqKF2t6JuISANqPy4ceMGzGnM01Gj\nRjWmoQK3MnLkyNCs+mSFtb399ZdsZ2dnWLlyZVa6Xbh+luo0duxYdUpx9dUpxcXp0zV1eh3D\n+4g+3xRv8GE8gtTs9xGjR49+g72zWUmgmXWq9r2TgFSqxj+/Vgs3YDNPWyAQa1P0+pTGz6IF\n33B17EKd6sBr4aalOsVd9n3cwi7YVY0C6lQjmNVXEWj291Cz219lQDmdMdyOAtKAb6wlS5YM\nmNOYp8uXL08ail9fe+21xjRaoFbiCyX+a1Z9skJZ+gti/B7q6enJSrcL189SnZYuXRq6u7sL\nN/6sDLhUp/h6Uqf0Vq2joyPEWhW9TqX3EemtVPp71or3EepU//dBM+vU1tZWVQcFpKqYGrfS\nmWeeGeI/U+0C6667bu0b2YIAAQIECBAgQIBADQJu810DllUJECBAgAABAgQIEMi3gICU7/oa\nHQECBAgQIECAAAECNQg4xa4GrEasuueee4YtttiiEU0Vqo1vfetbhRqvwRIgQIAAAQIECAyP\ngIDUYvd99903HHjggS3ea/Z3d8MNN2R/EEZAgAABAgQIECCQegGn2KW+RDpIgAABAgQIECBA\ngECrBASkVknbDwECBAgQIECAAAECqRcQkFJfIh0kQIAAAQIECBAgQKBVAgJSq6TthwABAgQI\nECBAgACB1AsISKkvkQ4SIECAAAECBAgQINAqAQGpVdL2Q4AAAQIECBAgQIBA6gUEpNSXSAcJ\nECBAgAABAgQIEGiVgIDUKmn7IUCAAAECBAgQIEAg9QICUupLpIMECBAgQIAAAQIECLRKQEBq\nlbT9ECBAgAABAgQIECCQeoH21PdQBwkQIECAQBMEli9fHlauXJn8a0LzmiRAgACBjAo4gpTR\nwuk2AQIECNQn8JnPfCbssMMO4fnnn6+vIVsTIECAQK4EBKRcldNgCBAgQIAAAQIECBCoR0BA\nqkfPtgQIECBAgAABAgQI5EpAQMpVOQ2GAAECBAgQIECAAIF6BASkevRsS4AAAQIECBAgQIBA\nrgQEpFyV02AIECBAgAABAgQIEKhHQECqR8+2BAgQIECAAAECBAjkSkBAylU5DYYAAQIECBAg\nQIAAgXoEBKR69GxLgAABAgQIECBAgECuBASkXJXTYAgQIECAAAECBAgQqEdAQKpHz7YECBAg\nQIAAAQIECORKQEDKVTkNhgABAgQIECBAgACBegQEpHr0bEuAAAECBAgQIECAQK4EBKRcldNg\nCBAgQIAAAQIECBCoR0BAqkfPtgQIECBAgAABAgQI5EpAQMpVOQ2GAAECBAgQIECAAIF6BASk\nevRsS4AAAQIECBAgQIBArgQEpFyV02AIECBAgAABAgQIEKhHQECqR8+2BAgQIECAAAECBAjk\nSkBAylU5DYYAAQIECBAgQIAAgXoEBKR69GxLgAABAgQIECBAgECuBASkXJXTYAgQIECAAAEC\nBAgQqEdAQKpHz7YECBAgQIAAAQIECORKQEDKVTkNhgABAgQIECBAgACBegQEpHr0bEuAAAEC\nBAgQIECAQK4EBKRcldNgCBAgQIAAAQIECBCoR0BAqkfPtgQIECBAgAABAgQI5EpAQMpVOQ2G\nAAECBAgQIECAAIF6BASkevRsS4AAAQIECBAgQIBArgQEpFyV02AIECBAgAABAgQIEKhHoL2e\njW1bu8D8+fPDs88+W/uGBd+ip6en4AKGT4AAAQIECBAg0AoBAakVyn32cd5554X4z1S7QGdn\nZ+0b2YIAAQIECBAgQIBADQICUg1Y9aw6Y8aM8Oijj4aurq56mmnatg8//HCYO3du2GWXXcLo\n0aObtp96Gn7rW99az+a2JUCAAAECBAgQIDCkgIA0JFFjVpgyZUo4/fTTG9NYE1r5/Oc/H26/\n/fZwyimnhLXWWqsJe9AkAQIECBAgUK9APFX/mWeeqbeZwm3f3d3d0jF/6UtfCldccUVL95mH\nncU/1q+++urDPhQBadhLoAMECBAgQIAAgcoCI0aMSFa48MILQ/xnql2gFX8AnjZtWlh33XXD\nsmXLkn+197K5WyxevDjpVwwhI0em715tsV877bRTcxGqaF1AqgLJKgQIECBAgACB4RR429ve\nFvbff/+wfPny4ezGoPuOlxE899xzYebMmWHs2LGDrjecC7bffvum737zzTcP3/3ud5u+nze6\ng3hk60c/+lG47LLLwnrrrfdGm8n9dgJS7ktsgAQIECBAgEDWBdZcc83wf/7P/0ntMC644IIk\nIJ1wwglh6tSpqe2njhGoRiB9x9aq6bV1CBAgQIAAAQIECBAg0AQBAakJqJokQIAAAQIECBAg\nQCCbAgJSNuum1wQIECBAgAABAgQINEFAQGoCqiYJECBAgAABAgQIEMimgICUzbrpNQECBAgQ\nIECAAAECTRAQkJqAqkkCBAgQIECAAAECBLIpICBls256TYAAAQIECBAgQIBAEwQEpCagapIA\nAQIECBAgQIAAgWwKCEjZrJteEyBAgAABAgQIECDQBAEBqQmomiRAgAABAgQIECBAIJsCAlI2\n66bXBAgQIECAAAECBAg0QUBAagKqJgkQIECAAAECBAgQyKaAgJTNuuk1AQIECBAgQIAAAQJN\nEBCQmoCqSQIECBAgQIAAAQIEsikgIGWzbnpNgAABAgQIECBAgEATBASkJqBqkgABAgQIECBA\ngACBbAoISNmsm14TIECAAAECBAgQINAEAQGpCaiaJECAAAECBAgQIEAgmwICUjbrptcECBAg\nQIAAAQIECDRBQEBqAqomCRAgQIAAAQIECBDIpoCAlM266TUBAgQIECBAgAABAk0QEJCagKpJ\nAgQIECBAgAABAgSyKSAgZbNuek2AAAECBAgQIECAQBMEBKQmoGqSAAECBAgQIECAAIFsCghI\n2aybXhMgQIAAAQIECBAg0AQBAakJqJokQIAAAQIECBAgQCCbAgJSNuum1wQIECBAgAABAgQI\nNEFAQGoCqiYJECBAgAABAgQIEMimgICUzbrpNQECBAgQIECAAAECTRAQkJqAqkkCBAgQIECA\nAAECBLIpICBls256TYAAAQIECBAgQIBAEwQEpCagapIAAQIECBAgQIAAgWwKCEjZrJteEyBA\ngAABAgQIECDQBIH2JrRZc5Nz5swJ9957b1hjjTXCzJkzw/jx4wdtY+HCheG+++5bZfnuu+8e\nOjo6kvlxnV/+8pchfn37298eNtxww1XWN4MAAQIECBAgQIAAAQIDBYY9IF177bXhqquuCu98\n5zvDc889F+LzSy65JEyaNGlgX5PnDz74YDj33HPDWmut1W/5jBkzkoD0t7/9LRxzzDFh0003\nDeutt1742te+Fs4555yw884791vfEwIECBAgQIAAAQIECAwUGNaAFI8cXX311eHiiy8O22+/\nfVixYkU47rjjwg033JB8HdjZ+Pzxxx8P22yzTbjsssvKLQ7nnXdeOOCAA8JJJ50URowYEb79\n7W+HL3/5y+H6669PnpfdyEwCBAgQIECAAAECBAj8P4FhvQbpN7/5TZg6dWoSjmI12tvbw377\n7Rduv/32QYsTA9KWW25ZdvnLL78cHn300XDggQf2hqH3vOc9yZGpRx55pOw2ZhIgQIAAAQIE\nCBAgQKAkMKxHkJ5//vnkNLhSZ+LXGJheeuml0NPTE0aOXDW/xYA0evTocNppp4XHHnssbLXV\nVuGEE05I2nnhhReSpmIbpWnNNdcMo0aNCvPmzUuOPJXmx6+33XZb6Orq6p21wQYbhPiviFM8\n2hanaDVmzJgiEmRizG1tbUk/Y43ia8SUToFSneLPKnVKZ41ir/zcS29t+vbM66mvRnofez2l\ntzZ9e6ZOfTUGf1xXQHrooYfCX/7ylzBhwoSw7777hqeffjpstNFGg+9twJIYaFZbbbV+c2Nb\n8Q3FggULVrkOKd50IW6zzjrrhMMOOyzsuuuu4aabbgrHH398mD17doiBK74hif/6TrHN+fPn\n952VPI4ha/Hixb3zDznkkOQUvd4ZBXpQCqMTJ05cxb1ADJkZaqyTKf0C6pTuGpV+7sXfEYNd\n95ruERSrd15P6a6311O661PqXalO8YZoRfy5t3z58hJFxa9vKCDF09XitUJ333130vgHP/jB\nJCC9+c1vDieeeGI444wzVgkp5XoR7zoXrzvqO5Wed3Z29p2dPI7FvPHGG5O73cUjHXHaeuut\nw1FHHRXuuOOOsPrqq6/SXlynu7s7lGtv1qxZ/Y4gbb755kkwi9sUbSr9lTuG0LFjxxZt+JkZ\nb6xN/N5/9dVXw8qVKzPT76J1VJ2yUfHSz71FixYV9md/FipVej3F30+lmmWh30XrY6k28Q/P\n8Y/cpnQKqNPrZ0sNVZ2aA1J8Y/Yv//IvSbD45Cc/mdyeO+4khpB4/dDnPve58Oyzz4ZvfOMb\nQ+07uRPdU0891W+92H5MtAOPAsWV4mHBePSo7xTvVjd58uTk6NG0adOSfixZsqRfIIptrrvu\nun03Sx5/+MMfXmVePApVxKn0Znvp0qUh+pnSKVD6w8Brr73mjUI6S5T0qlSn+HqKPxtN6RQo\n/dxbtmyZn3vpLFHSq/jH1Piaij/3vJ7SW6jS68n7iPTWKPasVKei/twrnbI7VJVWvchniC2u\nvPLK5C8D8bOILrjggrD++usnW8QdxjvFfeITnwjXXHNNv1PXBmtyk002Sa4jKh01ius9/PDD\nq1yXVNo+hql4tOiZZ54pzUqC0YsvvphsE/sSb/QQ2yhN8aYNMS33vS6ptMxXAgQIECBAgAAB\nAgQI9BWoOSD9/ve/D+9617sG/fDVD33oQ8lpbgOPDPXdaenxXnvtlTz8zne+k4SYJ598Mvzk\nJz8JRxxxRGmVcNddd4Vbbrkleb7xxhsnNxD46le/mlxTFI/2XH755ckRpz333DPE85P32Wef\n5Nbh8ZSJ+FeM+BlL8chWPMpkIkCAAAECBAgQIECAQCWBmgNSvJan0i2zS6dnxbvHDTXF0+ji\nKXk/+MEPkhBzyimnhHijhJkzZ/Zu+tOf/jR8//vf730e14kfBnvwwQcnN2qIp/NdeumlvafU\nxWuj4qH49773veGggw5Kjih9/OMf793eAwIECBAgQIAAAQIECAwmUPM1SG9729uSozIx1MSQ\n0neK1/qcffbZyelsA68V6rte38c77LBDuPnmm8PcuXOTozylu2uU1vnsZz9beph8nT59erju\nuuuSW4HH85IH3tUmXr900UUXJRexx9P+xo0b1297TwgQIECAAAECBAgQIDCYQM0B6eijjw7x\nOqR4pGfGjBlJEIl3mDn88MOTI0HxIsobbrhhsP0NOn/KlCmDLiu3YK211io3u3fewNuH9y7w\ngAABAgQIECBAgAABAoMI1ByQ4k0Q4nVC8TOEvvWtb/XeSev+++9P7hQXw9Ohhx46yO7MJkCA\nAAECBAgQIECAQHoFag5IcSjxhgfxNt5f+tKXwuOPP56c7hZvtx3/xdPeTAQIECBAgAABAgQI\nEMiiwBsKSKWBxg9m3WmnnUpPfSVAgAABAgQIECBAgECmBWoOSBdeeGG4+OKLhxz0008/PeQ6\nViBAgAABAgQIECBAgECaBGoOSPHmCFtssUW/McRPtp4zZ06IoSjeRS7esMFEgAABAgQIECBA\ngACBrAnUHJCOPPLIEP+Vm+IHve67777JzRrKLTePAAECBAgQIECAAAECaRao+YNiKw0m3qTh\njDPOCOecc06IR5VMBAgQIECAAAECBAgQyJJAQwNSHPgGG2wQFi5cmNzdLksQ+kqAAAECBAgQ\nIECAAIGGBqQlS5aEyy+/PLS1tYUNN9yQLgECBAgQIECAAAECBDIlUPM1SF//+teTz0AaOMqu\nrq7kJg0vv/xy+Nd//dfQ2dk5cBXPCRAgQIAAAQIECBAgkGqBmgPS8uXLw+LFi1cZVDxqtO22\n2yY3aTjppJNWWW4GAQIECBAgQIAAAQIE0i5Qc0A6/vjjQ/xnIkCAAAECBAgQIECAQN4EGnoN\nUt5wjIcAAQIECBAgQIAAgWIJDHkE6YUXXggHHXRQzSq/+tWvat7GBgQIECBAgAABAgQIEBhO\ngSEDUk9PT9lrjoaz0/ZNgAABAgQIECBAgACBZggMGZCmTp0a/vjHPzZj39okQIAAAQIECBAg\nQIBAqgQafg3SypUrw913352qQeoMAQIECBAgQIAAAQIEqhEY8ghSuUa++c1vhssuuyzMmzcv\nxM8/ilMMRitWrAgLFy5M5sXnJgIECBAgQIAAAQIECGRJoOYjSPHo0LHHHhseeuihsNFGG4W5\nc+eG9ddfP0yePDksWrQojBw5MlxxxRVZMtBXAgQIECBAgAABAgQIJAI1B6Qf//jHSQj629/+\nFu65556w9dZbh0MPPTT86U9/Cg8//HCYMmVKiB8aayJAgAABAgQIECBAgEDWBGoOSE888USY\nMWNGctQoDnaHHXYIpVt6T5s2LZx//vnhzDPPzJqD/hIgQIAAAQIECBAgQCDUHJAmTZoUxo4d\n20u35ZZbht///ve9z2fOnJlcm/T3v/+9d54HBAgQIECAAAECBAgQyIJAzQFp+vTp4b777kuu\nPYoDjKfYPfXUU2HOnDnJeONpdvE6pI6OjiyMXx8JECBAgAABAgQIECDQK1BzQDryyCOTI0ib\nb755+MUvfhH22GOPMG7cuPC+970vnHvuueGEE05ITsGL1yKZCBAgQIAAAQIECBAgkCWBmgNS\nvFvdD37wg+Tao6VLl4Z4yl28a90f/vCHcMYZZ4RnnnkmnHTSSVky0FcCBAgQIECAAAECBAgk\nAm/oc5B22WWX5OhR6bOOjjjiiLDPPvsk1yJts802YYMNNsBLgAABAgQIECBAgACBzAm8oYBU\nGuWIESNKD5Pbe++33369zz0gQIAAAQIECBAgQIBA1gRqPsXukksuCSeeeGK/O9dlbdD6S4AA\nAQIECBAgQIAAgXICNQek0aNHJ9cc7bjjjmH77bcPF198cXjppZfKtW0eAQIECBAgQIAAAQIE\nMiVQc0D66Ec/Gp599tlw0UUXhfb29nDyySeHqVOnJnex+/GPfxxWrFiRKQCdJUCAAAECBAgQ\nIECAQEmg5oAUN1x77bWTO9Xdf//94ZFHHgmzZs0K8fF73/ve5AYNp556aql9XwkQIECAAAEC\nBAgQIJAZgTcUkPqObquttko+/+i3v/1tOPbYY8MLL7wQvvjFL/ZdxWMCBAgQIECAAAECBAhk\nQqCuu9gtWrQo/Pd//3eYPXt2+NnPfhbibb/33XffcPTRR2di8DpJgAABAgQIECBAgACBvgI1\nB6R4jdGtt96ahKIf/vCHYcmSJWHatGnh7LPPDkcddVRYf/31+7bvMQECBAgQIECAAAECBDIj\nUHNAOuecc5IwNG7cuHDooYcmR4t22223zAxYRwkQIECAAAECBAgQIDCYQM0Baeuttw7f+MY3\nknA0fvz4wdo1P2MC8bOt/uM//iOsscYaGeu57hIgQIAAAQIECBBonEDNASkeNTLlT2CDDTYI\nY8eODXPnzg09PT35G6ARESBAgAABAgQIEKhCoO672FWxD6sQIECAAAECBAgQIEAgEwICUibK\npJMECBAgQIAAAQIECLRCQEBqhbJ9ECBAgAABAgQIECCQCQEBKRNl0kkCBAgQIECAAAECBFoh\nICC1Qtk+CBAgQIAAAQIECBDIhICAlIky6SQBAgQIECBAgAABAq0QEJBaoWwfBAgQIECAAAEC\nBAhkQkBAykSZdJIAAQIECBAgQIAAgVYICEitULYPAgQIECBAgAABAgQyISAgZaJMOkmAAAEC\nBAgQIECAQCsEBKRWKNsHAQIECBAgQIAAAQKZEBCQMlEmnSRAgAABAgQIECBAoBUCAlIrlO2D\nAAECBAgQIECAAIFMCAhImSiTThIgQIAAAQIECBAg0AoBAakVyvZBgAABAgQIECBAgEAmBASk\nTJRJJwkQIECAAAECBAgQaIWAgNQKZfsgQIAAAQIECBAgQCATAgJSJsqkkwQIECBAgAABAgQI\ntEJAQGqFsn0QIECAAAECBAgQIJAJAQEpE2XSSQIECBAgQIAAAQIEWiEgILVC2T4IECBAgAAB\nAgQIEMiEgICUiTLpJAECBAgQIECAAAECrRBob8VO7IMAAQIEiifw0EMPhVNPPTV0dXWlcvA9\nPT1Jvw477LAwYsSIVPZxxowZ4Zxzzkll33SKAAECeRUQkPJaWeMiQIDAMAs8/fTTYenSpWG9\n9dYLkyZNGubeZG/3jz32WPjzn/+cvY7rMQECBDIuICBlvIC6T4AAgbQLHH/88eF973tf2ruZ\nuv694x3vCCtXrkxdv3SIAAECeRdwDVLeK2x8BAgQIECAAAECBAhULSAgVU1lRQIECBAgQIAA\nAQIE8i4gIOW9wsZHgAABAgQIECBAgEDVAgJS1VRWJECAAAECBAgQIEAg7wICUt4rbHwECBAg\nQIAAAQIECFQtICBVTWVFAgQIECBAgAABAgTyLiAg5b3CxkeAAAECBAgQIECAQNUCAlLVVFYk\nQIAAAQIECBAgQCDvAgJS3itsfAQIECBAgAABAgQIVC0gIFVNZUUCBAgQIECAAAECBPIuICDl\nvcLGR4AAAQIECBAgQIBA1QICUtVUViRAgAABAgQIECBAIO8CAlLeK2x8BAgQIECAAAECBAhU\nLSAgVU1lRQIECBAgQIAAAQIE8i4gIOW9wsZHgAABAgQIECBAgEDVAgJS1VRWJECAAAECBAgQ\nIEAg7wICUt4rbHwECBAgQIAAAQIECFQtICBVTWVFAgQIECBAgAABAgTyLiAg5b3CxkeAAAEC\nBAgQIECAQNUCAlLVVFYkQIAAAQIECBAgQCDvAgJS3itsfAQIECBAgAABAgQIVC0gIFVNZUUC\nBAgQIECAAAECBPIuICDlvcLGR4AAAQIECBAgQIBA1QLtVa9ZkBXHjBlTkJH2H2ZbW1syY/To\n0WHlypX9F3qWGoFSneL3aU9PT2r6pSP9BUp1iq+nItepo6OjP4xnNQuMGDEiFPX3UgnL66kk\nke6v8Xs1TqNGjSr892yaK6VO1VVHQBrgVNRf6CNHvn4wMY5fQBrwTZGip6UfbO3t7eqUoroM\n7Io6vS5SemM70Mfz6gXi91JRfy+VlEq/n/zcK4mk82vfn3tF/55NZ4Ve79Xpp58e/vM//zMJ\nsaXXVpr72+i+VftHSwFpgPzChQsHzCnG0/hGJv7yWbRoUaH/4p32asc6xV886pTuSpXqtHjx\n4tDd3Z3uzjaxd0uXLm1i68VoOv4yL+rvpVKF45u4+HOv6K+nkkdav5beeC5ZsqTw37NprVHs\n18SJE0NnZ2eYN29eIX8/xd/Pq6222pAlcg3SkERWIECAAAECBAgQIECgKAICUlEqbZwECBAg\nQIAAAQIECAwpICANSWQFAgQIECBAgAABAgSKIiAgFaXSxkmAAAECBAgQIECAwJACAtKQRFYg\nQIAAAQIECBAgQKAoAgJSUSptnAQIECBAgAABAgQIDCkgIA1JZAUCBAgQIECAAAECBIoiICAV\npdLGSYAAAQIECBAgQIDAkAIC0pBEViBAgAABAgQIECBAoCgCAlJRKm2cBAgQIECAAAECBAgM\nKSAgDUlkBQIECBAgQIAAAQIEiiIgIBWl0sZJgAABAgQIECBAgMCQAgLSkERWIECAAAECBAgQ\nIECgKAICUlEqbZwECBAgQIAAAQIECAwpICANSWQFAgQIECBAgAABAgSKIiAgFaXSxkmAAAEC\nBAgQIECAwJACAtKQRFYgQIAAAQIECBAgQKAoAgJSUSptnAQIECBAgAABAgQIDCkgIA1JZAUC\nBAgQIECAAAECBIoiICAVpdLGSYAAAQIECBAgQIDAkAIC0pBEViBAgAABAgQIECBAoCgCAlJR\nKm2cuRBYuXJlWL58eS7GYhAECBAgQIAAgTQKCEhprIo+ERggsHDhwvD5z38+vO1tbwvbbbdd\nOPzww8Ovf/3rAWt5SoAAAQIECBAgUK+AgFSvoO0JNFlgxYoV4eMf/3i48847Q1dXV7K3Z555\nJpx++unhvvvua/LeNU+AAAECBAgQKJaAgFSsehttBgXuuOOO8Oyzz4YYlPpOPT094Stf+Urf\nWR4TIECAAIFhEfjIRz4Svva1r4XJkycPy/7tlEAjBdob2Zi2CBBovMAjjzzSe+RoYOvPPfdc\neO2118LYsWMHLvKcAAECBAi0TGDLLbcMnZ2dYd68eaG7u7tl+7UjAs0QcASpGaraJNBAgXHj\nxoX29vJ/y2hrawsdHR0N3JumCBAgQIAAAQLFFhCQil1/o8+AwLve9a6yf42LoWnmzJmDhqcM\nDE0XCRAgQIAAAQKpExCQUlcSHSLQX2CLLbYIxx57bBgxYkSIR4ziFI8arb322uETn/hE/5U9\nI0CAAAECBAgQqEug/Hk7dTVpYwIEGi0Qb+v9lre8Jfzyl78MixcvDptuumnYe++9w+jRoxu9\nK+0RIECAAAECBAotICAVuvwGnyWB6dOnh5133jm5IcPcuXNDvIudiQABAgQIECBAoLECTrFr\nrKfWCBAgQIAAAQIECBDIsICAlOHi6ToBAgQIECBAgAABAo0VEJAa66k1AgQIECBAgAABAgQy\nLCAgZbh4uk6AAAECBAgQIECAQGMFBKTGemqNAAECBAgQIECAAIEMCwhIGS6erhMgQIAAAQIE\nCBAg0FgBAamxnlojQIAAAQIECBAgQCDDAgJShoun6wQIECBAgAABAgQINFZAQGqsp9YIECBA\ngAABAgQIEMiwgICU4eLpOgECBAgQIECAAAECjRUQkBrrqTUCBAgQIECAAAECBDIsICBluHi6\nToAAAQIECBAgQIBAYwUEpMZ6ao0AAQIECBAgQIAAgQwLCEgZLp6uEyBAgAABAgQIECDQWAEB\nqbGeWiNAgAABAgQIECBAIMMCAlKGi6frBAgQIECAAAECBAg0VkBAaqyn1ggQIECAAAECBAgQ\nyLCAgJTh4uk6AQIECBAgQIAAAQKNFRCQGuupNQIECBAgQIAAAQIEMizQnuG+6zoBAgRSJ/DE\nE0+E++67LyxevDhsvPHGYY899ggdHR2p66cOESBAgAABAuUFBKTyLuYSIECgZoGbbropXHbZ\nZaG9vT10dXUlwWj27NnhK1/5Slh99dVrbs8GBAgQIECAQOsFnGLXenN7JEAghwLxyFEMRytX\nrkzCUdjci5YAAEAASURBVBxiDEnPP/98+PKXv5zDERsSAQIECBDIp4CAlM+6GhUBAi0WuPPO\nO0NbW9sqe12xYkW45557QvxqIkCAAAECBNIv4BS79NdIDwkQyIDAokWLQnd3d9mexvnLly9P\nTr0ru0LOZz722GMhBkhTbQLLli0Lo0aNqm0jaxMgQIBA3QICUt2EGiBAgEAI06dPD//zP//T\ne3pdX5MpU6aEzs7OvrMK9fiaa64J8Z+pdoHJkyfXvpEtCBAgQKAuAafY1cVnYwIECLwusOee\ne4Z11llnlaNEI0eODCeccAImAgQIECBAICMCAlJGCqWbBAikWyDeyvvSSy8Nu+66a++1SPHI\n0dlnnx3e8Y53pLvzekeAAAECBAj0CjjFrpfCAwLpF/jLX/4SFi5cGDbccEOfrZPCck2cODGc\nddZZYfz48SEeOYqfhTTYdUkp7H7TunTMMceE3XbbrWnt57Xhk046Ka9DMy4CBAikWkBASnV5\ndI5Af4Grrroq3HbbbeHGG28Mrk3ob5OmZ/FzkMaOHZsEpDT1a7j6stlmm4Wdd955uHaf2f3G\nGzTE28abCBAgQKC1Ak6xa623vREgQIAAAQIECBAgkGIBASnFxdE1AgQIECBAgAABAgRaKyAg\ntdbb3ggQIECAAAECBAgQSLGAa5BSXJxWdi1+yOWCBQtauUv7IkCAAAECBAgQIJA6AQEpdSVp\nbYfmzZsXvvCFL4QHHngg2XG8C9fHPvaxsO+++7a2I/ZGgAABAgQIECBAIAUCAlIKijBcXVi6\ndGnyAZYvv/xybxfiUaTzzz8/uYX0Hnvs0TvfAwIECBAgQIAAAQJFEHANUhGqPMgYb7311jB/\n/vxVPqelp6cnXHHFFYNsZTYBAgQIECBAgACB/AoISPmt7ZAje/zxx0NXV1fZ9V588cXw2muv\nlV1mJgECBAgQIECAAIG8CghIea1sFeNaffXVQ/xAy3JTR0dHGD16dLlF5hEgQIAAAQIECBDI\nrYCAlNvSDj2wPffcc5XT6+JWMTTFZSNH+vYYWtEaBAgQIECAAAECeRLwDjhP1axxLJtsskmY\nNWtWEoTi0aJ41CiGo8022yyceOKJNbZmdQIECBAgQIAAAQLZFyh/flX2x2UEVQq8+93vDttv\nv3347W9/m1xztOGGG4YZM2Y4elSln9UIECBAgAABAgTyJSAg5aueb2g06623Xthmm23C2LFj\nw9y5c0O8i52JAAECBAgQIECAQBEFnGJXxKobMwECBAgQIECAAAECZQUEpLIsZhIgQIAAAQIE\nCBAgUEQBAamIVTdmAgQIECBAgAABAgTKCghIZVnMJECAAAECBAgQIECgiAICUhGrbswECBAg\nQIAAAQIECJQVEJDKsphJgAABAgQIECBAgEARBQSkIlbdmAkQIECAAAECBAgQKCsgIJVlMZMA\nAQIECBAgQIAAgSIKCEhFrLoxEyBAgAABAgQIECBQVkBAKstiJgECBAgQIECAAAECRRQQkIpY\ndWMmQIAAAQIECBAgQKCsgIBUlsVMAgQIECBAgAABAgSKKCAgFbHqxkyAAAECBAgQIECAQFmB\n9rJzWzxzzpw54d577w1rrLFGmDlzZhg/fnzFHixZsiRZ/7nnngvbbrtt2HHHHXvXX7hwYbjv\nvvt6n5ce7L777qGjo6P01FcCBAgQIECAAAECBAisIjDsAenaa68NV111VXjnO98ZYuCJzy+5\n5JIwadKkVTobZ/zv//5v+OIXvxi222670NnZGb75zW+G97znPWHWrFnJ+g8++GA499xzw1pr\nrdVv+xkzZghI/UQ8IUCAAAECBAgQIEBgoMCwBqR45Ojqq68OF198cdh+++3DihUrwnHHHRdu\nuOGG5OvAzvb09IRvf/vbybIPfOADyeK77rornHHGGeGggw4K06ZNC48//njYZpttwmWXXTZw\nc88JECBAgAABAgQIECBQUWBYr0H6zW9+E6ZOnZqEo9jL9vb2sN9++4Xbb7+9bKdfeeWVsNNO\nO4W99967d/kOO+yQPI5Hn+IUA9KWW26ZPPYfAQIECBAgQIAAAQIEahEY1iNIzz//fFhvvfX6\n9TcGppdeeinEo0UjR/bPb/G0uU984hP91r/jjjtCW1tbbyiKAWn06NHhtNNOC4899ljYaqut\nwgknnLDKfmIj8XS8eNSqNMX2x40bV3paqK8l63idVrQ3pVNgxIgRScfiHxNcU5fOGsVelV5P\nsU6lx+ntbfN6Fn82m+oTiK/5or/WS6+hor+e6vtOav7W6tR840bsoVSn+HOl9LgR7WaljdL7\nqKH6O6wB6YUXXgirrbZavz5OmDAheYO+YMGCQa9DKm3wxBNPhK997Wvh8MMPD1OmTAnxBg2x\nzXXWWSccdthhYddddw033XRTOP7448Ps2bNXufnD0UcfHRYvXlxqLhxyyCHhvPPO631exAfx\nRhmm9AqU3nCuvvrqq1xnl95eF7dnRX89xZ/npvoE4huYgdfU1tdidrcu+uspK5VTp2xUarBr\n/bPR+zfey+XLl1e18bAGpJhe+x7BiT0uPY83YKg0PfTQQ8lRoj322CMcc8wxyarx7nc33nhj\ncje8UaNGJfO23nrrcNRRR4V4pOnAAw/s1+SRRx4Zli1b1jsv3vhh0aJFvc+L9GDMmDHJKY4x\nMK5cubJIQ8/UWEtH9+KdHIv6vZqFgsWj2PHnW9FfT0uXLs1CuVLdx/jzuOivda+nVH+L9nZO\nnXopUv2g6HWK76NKGaFSoYY1IMW/ij311FP9+vfqq68mR45iAQeb7rnnnvCZz3wmHHrooeGj\nH/1o72rxsFk8etR32nTTTcPkyZNDPJ1v4HTyyScPnFV2vVVWyuGMeGQinr4QfxGX3oTncJiZ\nH1KpNjEgxSOmpnQKxNdTKSB1d3ens5Mt6JWAVD9yfM0X/bUej6J5PdX/vdTsFtSp2cKNab/o\ndYq/nweevVZOtv9FPuXWaOK8TTbZJLlOqHTUKO7q4YcfLnu9UKkbd955Z/j0pz8dTjzxxH7h\nKC6PYSseLXrmmWdKqyeB58UXX6zYZu/KHhAgQIAAAQIECBAgUGiBYQ1Ie+21V4L/ne98Jzlq\n8eSTT4af/OQn4YgjjugtSryN9y233JI8f/nll8MXvvCF8K53vStsvPHGyU0W4o0W4r94h7s4\nL54q9tWvfjXMnz8/CUeXX355ckRqzz337G3TAwIECBAgQIAAAQIECJQTGNZT7OJpdJ/73OfC\n2WefHWJIGjt2bHKjhJkzZ/b29ac//WnyAbL7779/EpTiqUXxNuADbwUe71r37ne/O5xyyinh\ns5/9bDj44IOTNuIpdpdeemnyobK9jXpAgAABAgQIECBAgACBMgLDGpBif+LnGN18881h7ty5\nybVC8dzIvlMMO6XpIx/5SIj/Kk3Tp08P1113XXKr8HjO8sSJEyutbhkBAgQIECBAgAABAgR6\nBYY9IJV6Em/T3cjJbVEbqaktAgQIECBAgAABAsUQ6H+4phhjNkoCBAgQIECAAAECBAiUFRCQ\nyrKYSYAAAQIECBAgQIBAEQUEpCJW3ZgJECBAgAABAgQIECgrICCVZTGTAAECBAgQIECAAIEi\nCghIRay6MRMgQIAAAQIECBAgUFZAQCrLYiYBAgQIECBAgAABAkUUEJCKWHVjJkCAAAECBAgQ\nIECgrICAVJbFTAIECBAgQIAAAQIEiiggIBWx6sZMgAABAgQIECBAgEBZAQGpLIuZBAgQIECA\nAAECBAgUUUBAKmLVjZkAAQIECBAgQIAAgbICAlJZFjMJECBAgAABAgQIECiigIBUxKobMwEC\nBAgQIECAAAECZQUEpLIsZhIgQIAAAQIECBAgUEQBAamIVTdmAgQIECBAgAABAgTKCghIZVnM\nJECAAAECBAgQIECgiAICUhGrbswECBAgQIAAAQIECJQVEJDKsphJgAABAgQIECBAgEARBQSk\nIlbdmAkQIECAAAECBAgQKCsgIJVlMZMAAQIECBAgQIAAgSIKCEhFrLoxEyBAgAABAgQIECBQ\nVkBAKstiJgECBAgQIECAAAECRRQQkIpYdWMmQIAAAQIECBAgQKCsgIBUlsVMAgQIECBAgAAB\nAgSKKCAgFbHqxkyAAAECBAgQIECAQFkBAaksi5kECBAgQIAAAQIECBRRQEAqYtWNmQABAgQI\nECBAgACBsgLtZeeaSYAAAQJvSGDlypXh8ccfD8uWLQtrrLFG6OzsfEPt2IgAAQIECBAYHgEB\naXjc7ZUAgRwKPPnkk+HMM88Mzz//fGhrawsxLH34wx8OxxxzTA5Ha0gECBAgQCCfAgJSPutq\nVAQItFhg4cKF4aSTTgqLFi1KgtGKFSuSHnz3u98N48ePDx/84Adb3CO7I0CAAAECBN6IgGuQ\n3oiabQgQIDBA4NZbb01Oq4tHjfpOMShde+21fWd5TIAAAQIECKRYQEBKcXF0jQCB7AjMmTMn\nLF++vGyH41Gl+M9EgAABAgQIpF9AQEp/jfSQAIEMCKy99tqho6OjbE9Hjx7tZg1lZcwkQIAA\nAQLpExCQ0lcTPSJAIIMC++yzT9let7e3hwMPPDCMHOnHbVkgMwkQIECAQMoE/MZOWUF0hwCB\nbArEI0jnnntuGDt2bBg1alQYM2ZMGDFiRJg5c2b493//92wOSq8JECBAgEABBdzFroBFN2QC\nBJojsNNOO4WbbropPProo2Hp0qVhvfXWC5tssklzdqZVAgQIECBAoCkCAlJTWDVKgEBRBcaN\nGxf22muv5EjSvHnzQnd3d1EpjJsAAQIECGRSwCl2mSybThMgQIAAAQIECBAg0AwBAakZqtok\nQIAAAQIECBAgQCCTAgJSJsum0wQIECBAgAABAgQINEPANUjNUNVmpgX++te/hq6urlSOYcGC\nBUm/Hn/88fDSSy+lso/xxgSrrbZaKvumUwQIECBAgACBoQQEpKGELC+UwJ133hnOPvvs1I/5\nU5/6VGr7uMUWW4Qrr7wytf3TMQIECBAgQIBAJQEBqZKOZYUTKB2h2WWXXcKmm25auPHXO+Ab\nb7wxvPrqq/U2Y3sCBAgQIECAwLAJCEjDRm/HaRY44IADwkEHHZTmLqayb7fccksq+6VTBAgQ\nIECAAIFqBdykoVop6xEgQIAAAQIECBAgkHsBASn3JTZAAgQIECBAgAABAgSqFRCQqpWyHgEC\nBAgQIECAAAECuRcQkHJfYgMkQIAAAQIECBAgQKBaAQGpWinrESBAgAABAgQIECCQewEBKfcl\nNkACBAgQIECAAAECBKoVEJCqlbIeAQIECBAgQIAAAQK5FxCQcl9iAyRAgAABAgQIECBAoFoB\nAalaKesRIECAAAECBAgQIJB7AQEp9yU2QAIECBAgQIAAAQIEqhUQkKqVsh4BAgQIECBAgAAB\nArkXEJByX2IDJECAAAECBAgQIECgWgEBqVop6xEgQIAAAQIECBAgkHsBASn3JTZAAgQIECBA\ngAABAgSqFRCQqpWyHgECBAgQIECAAAECuRcQkHJfYgMkQIAAAQIECBAgQKBaAQGpWinrESBA\ngAABAgQIECCQewEBKfclNkACBAgQIECAAAECBKoVEJCqlbIeAQIECBAgQIAAAQK5FxCQcl9i\nAyRAgAABAgQIECBAoFoBAalaKesRIECAAAECBAgQIJB7AQEp9yU2QAIECBAgQIAAAQIEqhUQ\nkKqVsh4BAgQIECBAgAABArkXEJByX2IDJECAAAECBAgQIECgWgEBqVop6xEgQIAAAQIECBAg\nkHsBASn3JTZAAgQIECBAgAABAgSqFRCQqpWyHgECBAgQIECAAAECuRcQkHJfYgMkQIAAAQIE\nCBAgQKBaAQGpWinrESBAgAABAgQIECCQewEBKfclNkACBAgQIECAAAECBKoVEJCqlbIeAQIE\nCBAgQIAAAQK5FxCQcl9iAyRAgAABAgQIECBAoFoBAalaKesRIECAAAECBAgQIJB7gfbcj9AA\nCRAgQGBYBT7/+c+HCy64YFj7kMWdz58/P6y11lpZ7Lo+EyBAINMCAlKmy6fzBAgQSK/A9OnT\nw4Ybbhi6urpS2cl//OMf4bXXXgtrr712aGtrS10f11lnnfD2t789df3SIQIECORdQEDKe4WN\njwABAsMksPnmm4drrrlmmPY+9G7PP//8cMstt4SvfOUrYcqUKUNvYA0CBAgQKISAa5AKUWaD\nJECAAAECBAgQIECgGgEBqRol6xAgQIAAAQIECBAgUAgBp9gVoswGWatAvC7h1VdfrXWzwq/f\n09NTeAMABAgQIECAQLYFBKRs10/vmyRw1llnhfjPVLtAvLDcRIAAAQIECBDIqoBT7LJaOf0m\nQIAAAQIECBAgQKDhAo4gDSDt6OgYMKcYT0eOfD0rx/EX+TSpNN7qN4vfgUV9HZVqVXo9tbe3\nh9Lj0jJf0ycQX/dF/55NX1X+f49KryGvp/9vksZH6pTGqqzap1Kd4s+80uNV18rvnBEjRlQ1\nOAFpANO4ceMGzCnG0/iLJ05jx44txoAHGeXo0aOTJXvvvXfYaqutBlnL7MEErrrqquQHblFf\nRytWrAizZ88OP/zhD8PChQvDdtttFz72sY+FadOmDUZm/jAKlN4cxJ97Rf2eHUb+qndd+v3U\n2dkZVq5cWfV2VmytgDq11vuN7q1Up/hzr4ivp+7u7qroBKQBTPGDA4s4rb766kk4ijcmKPIR\npCVLliTl32uvvcJBBx1UxG+FusZ83XXXJd8/RX0dnXrqqeGBBx4IMSjF6ec//3m46667wqWX\nXhrih6aa0iVQ+lm3aNGiUNTv2XRVpHxvJk6cGOKbuvj7qdo3N+VbMreZAurUTN3GtV30OsUz\nBsaPHz8kqGuQhiSyAgECBIYWuPfee8Pvfve73nAUt4hvwOMbugsuuGDoBqxBgAABAgQIpEJA\nQEpFGXSCAIGsC8RwVO50hTjvr3/9a1i6dGnWh6j/BAgQIECgEAICUiHKbJAECDRbIB62r3Tx\nZ6Vlze6b9gkQIECAAIHqBQSk6q2sSYAAgUEFdt5557JHkOKNAOLNGko3ABm0AQsIECBAgACB\nVAgISKkog04QIJB1gR133DHss88+oe+t4uOF5WPGjAmzZs3K+vD0nwABAgQIFEbAXewKU2oD\nJUCg2QKnnXZaeMtb3hJuv/325DbfW2+9dfjQhz4UJk+e3Oxda58AAQIECBBokICA1CBIzRAg\nQCAKxM/Q+sAHPpDcNn/evHluS+zbggABAgQIZEzAKXYZK5juEiBAgAABAgQIECDQPAEBqXm2\nWiZAgAABAgQIECBAIGMCAlLGCqa7BAgQIECAAAECBAg0T8A1SM2z1TIBAgUVmD9/fojXH3V0\ndFT8bKSC8hg2AQIECBBItYCAlOry6BwBAlkSmDt3bjjnnHPCH//4x6TbnZ2d4bjjjgsHHHBA\nloahrwQIECBAoNACAlKhy2/wBAg0SmDp0qXh+OOPD/HoUWlasmRJuPjii5MjSfvvv39ptq8E\nCBAgQIBAigVcg5Ti4ugaAQLZEbjtttvCggULVrmtd3d3d7jyyiuzMxA9JUCAAAECBRcQkAr+\nDWD4BAg0RuCJJ54IXV1dZRuLR5UWL15cdpmZBAgQIECAQLoEnGKXrnroTUoEnn322fDII4+k\npDfZ6caKFStCe3sxf6xMmjQpOZWuXEiKJmPGjMlOIfWUAAECBAgUWKCY72QKXHBDryzQ1taW\nrHDJJZeE+M9Uu8DUqVNr3ygHW+y1117hmmuuWWUkMRztvffeofS9tcoKZhAgQIAAAQKpEhCQ\nUlUOnRlugV122SXMmTMnLF++fLi7Unb/DzzwQHjmmWfCvvvum9ojEjvssEPZvud95vrrrx8+\n9alPhfPOOy85irZy5crQ09MTtthii/Dxj38878M3PgIECBAgkBsBASk3pTSQRgisscYayZ3I\nGtFWM9o499xzk4B07LHHhsmTJzdjF9qsQyAeRXrTm94Ufve734XXXnstbLDBBuGtb32rz0Kq\nw9SmBAgQIECg1QICUqvF7Y8AgVwLrL322uGwww4LY8eOTT4sNt7FzkSAAAECBAhkR8Bd7LJT\nKz0lQIAAAQIECBAgQKDJAgJSk4E1T4AAAQIECBAgQIBAdgQEpOzUSk8JECBAgAABAgQIEGiy\ngIDUZGDNEyBAgAABAgQIECCQHQEBKTu10lMCBAgQIECAAAECBJosICA1GVjzBAgQIECAAAEC\nBAhkR0BAyk6t9JQAAQIECBAgQIAAgSYLCEhNBtY8AQIECBAgQIAAAQLZERCQslMrPSVAgAAB\nAgQIECBAoMkCAlKTgTVPgAABAgQIECBAgEB2BASk7NRKTwkQIECAAAECBAgQaLKAgNRkYM0T\nIECAAAECBAgQIJAdAQEpO7XSUwIECBAgQIAAAQIEmiwgIDUZWPMECBAgQIAAAQIECGRHQEDK\nTq30lAABAgQIECBAgACBJgsISE0G1jwBAgQIECBAgAABAtkREJCyUys9JUCAAAECBAgQIECg\nyQICUpOBNU+AAAECBAgQIECAQHYEBKTs1EpPCRAgQIAAAQIECBBoskB7k9vXPAECDRR4z3ve\nE3bYYYcwYcKEBraqKQIECBAgQIAAgZKAgFSS8JVABgR22223MHbs2DB37tzQ09OTgR7rIgEC\nBAgQIEAgWwJOsctWvfSWAAECBAgQIECAAIEmCghITcTVNAECBAgQIECAAAEC2RIQkLJVL70l\nQIAAAQIECBAgQKCJAgJSE3E1TYAAAQIECBAgQIBAtgQEpGzVS28JECBAgAABAgQIEGiigLvY\nNRFX0wQINEdg2bJl4ec//3lYvnx5c3ZQZ6uxf7Fv48ePDyNGjKizteZsPn369LD55ps3p3Gt\nEmiQwD/+8Y/wi1/8Irz22mth/fXXD9tuu22DWtYMAQIEBhcQkAa3sYQAgZQK/OxnPwvnn39+\nSnuXjW7FN5uzZ8/ORmf1spAC9957bzjrrLOSPzLEPzTEPzpsv/324dxzzw1jxowppIlBEyDQ\nGgEBqTXO9kKAQAMFurq6ktbe9773hR133LGBLRejqfPOOy+1R9+KUQGjHEogftbbpz/96bBi\nxYp+qz700EPh0ksvDbNmzeo33xMCBAg0UkBAaqSmtggQaKnATjvtFA4++OCW7jMPO7vooovy\nMAxjyLHA7bffXvb01BiYbr311nDyySeH9nZvYXL8LWBoBIZVwE0ahpXfzgkQIECAAIGBAq+8\n8soqR49K68QjyEuWLCk99ZUAAQINFxCQGk6qQQIECBAgQKAegY022mjQI0Tx5icTJkyop3nb\nEiBAoKKAgFSRx0ICBAgQIECg1QJ77713EoJGjuz/NqWtrS3827/9W9nT71rdR/sjQCC/Av1/\n8uR3nEZGgAABAgQIZESgs7MzXHLJJWGzzTZLehzvYtfR0RGOOeaYcMghh2RkFLpJgEBWBVzh\nmNXK6TcBAgQIEMixQLwV/de//vWwePHi5K6L8bQ6N2bIccENjUCKBASkFBVDVwgQIECAAIH+\nAlOnTg3xiNK8efNCd3d3/4WeESBAoAkCAlITUDVJgEBrBK644orwve99rzU7y9Fe/vGPf4RJ\nkyblaESGQoAAAQIEGicgIDXOUksECLRY4Omnnw7xn4kAAQIECBAg0CgBN2lolKR2CBAgQIAA\nAQIECBDIvIAjSJkvoQEQKK5AvIjbqWK11//RRx+tfSNbECBAgACBgggISAUptGESyKPACSec\nEA4++OA8Dq2pY9p1112b2r7GCRAgQIBAlgWcYpfl6uk7AQIECBAgQIAAAQINFRCQGsqpMQIE\nCBAgQIAAAQIEsiwgIGW5evpOgAABAgQIECBAgEBDBQSkhnJqjAABAgQIECBAgACBLAsISFmu\nnr4TIECAAAECBAgQINBQAQGpoZwaI0CAAAECBAgQIEAgywJu853l6uk7gYILfO973wu/+tWv\nCq5Q+/BfffXVMHHixNo3tAUBAgQIECiAgIBUgCIbIoG8CayxxhrJkB544IEQ/5lqF1hzzTVr\n38gWBAgQIECgAAICUgGKbIgE8iYQP+j0+uuvD11dXakc2pVXXhnuvvvucNFFF4X/2955wElR\npH24EFHJOQoqiogCggED6qmIhFOCGPFEFBVBRTAciuk80APO85QzC4IkCYKcHoIoCGI4zImg\nJBHPAJIU06EwXz911Hy9szPds8vuTg/zf3+/3Znpqu6qeiq+VW9VR1URqVGjRiTZKVIiIAIi\nIAIikGkCUpAynQMKXwREoFAE6tSpU6j7SuKm8uXL22Dq1atnatWqVRJBKgwREAEREAEREIEi\nIqBDGooIpB4jAiIgAiIgAiIgAiIgAiKQ/QSkIGV/HioFIiACIiACIiACIiACIiACRURAJnZF\nBFKPEQEREAFHoEWLFqZ06dKmbNmy7pI+RUAEREAEREAEsoSAFKQsyShFUwREIHsIdO/e3SpH\n69evN9u3b8+eiCumIiACIiACIiACRiZ2KgQiIAIiIAIiIAIiIAIiIAIisJOAFCQVBREQAREQ\nAREQAREQAREQARHYSUAKkoqCCIiACIiACIiACIiACIiACOwkIAVJRUEEREAEREAEREAEREAE\nREAEdhKQgqSiIAIiIAIiIAIiIAIiIAIiIAI7CUhBUlEQAREQAREQAREQAREQAREQgZ0EpCCp\nKIiACIiACIiACIiACIiACIjATgJSkFQUREAEREAEREAEREAEREAERGAnASlIKgoiIAIiIAIi\nIAIiIAIiIAIisJOAFCQVBREQAREQAREQAREQAREQARHYSUAKkoqCCIiACIiACIiACIiACIiA\nCOwksKdIiIAIiIAIiIAIiEAUCXz++edmwYIF5rvvvjNNmjQxbdq0MXvuqaFLFPNKcRKB3YlA\nJFqZtWvXmjfeeMNUq1bNtG7d2lSoUCGQ8datW83rr79u+Dz22GPNfvvtl8d/mHsez/ohAiIg\nAiIgAiIQOQITJ040I0eOzBOvRx991IwePdpUqVIlz3X9EAEREIGiJJBxE7vx48ebHj16mKVL\nl5qpU6eavn37ms2bN6dM42effWa6dOlipk2bZhYvXmx69eplFi1aFPcf5h73qC8iIAIiIAIi\nIAKRJLBixYp8yhER3bRpkxk4cGAk46xIiYAI7D4EMrqCxMrRmDFjzIgRI0zLli3Nb7/9Zvr0\n6WOmTJliP5NhHjp0qOncubPp37+/KVWqlBk7dqy57777zOTJk+3vMPdkz9Q1ERABERABEchl\nAjt27DD8RUVYJUoly5cvNz///LMpU6ZMKi8lfl1mfyWOXAGKQLESyKiC9NZbb5l69epZ5YhU\n0sB06NDBTJo0KamCtHHjRrNs2TIzaNAgqwxxz5lnnmlGjRplV6Dq1KkT6N60aVNuictXX32V\np0MoX768KV26dNw9l76gbCKk333PpfRnS1pd3iifop1jLp/22CPji/TRBhWR2JFfudr2kwVM\nTg4ZMsTMnz8/IjkSHo2OHTuGeypBH+PGjTMNGzYswRCjF5Rr93K5LkUvV/LHKNfzKd1+OaMK\n0tdff2323XffPLmHwrRhwwaruCQm4ptvvrF+8eOkevXqZq+99jLr1693l6zS5X743RMVJJSr\nH3/80Xk13bp1M6xA5bLUqFEjl5OfNWlXPmVHVimfop1PLVq0ML/++qvth3I5r2bOnJlVylEU\nS9Udd9xh5syZE8WolXicGHdJok8gV/Np27ZtaWVORhUkFJ5KlSrliWjFihWtcsSJNVWrVs3j\nhkK199572z+/A/ewb2n79u2B7v57+N6+fXvzyy+/xC/TWbJsn4uCksmsT66mP1vyHJMSVlop\nt7FYLFuinXPxVD5lR5az//XSSy+19SmX275mzZqZxo0bG0zXJIUjcNFFF+V8/6l2r3Blp6Tv\nyvV8QldgzBsmGVWQyCSW9v3ifpcrV85/2X5P5h8HEov/MPfEByZbLUIJy0XhRKCyZcua77//\nPo/ZYS6yiHKayScUJCYQorRfIMrMMhE3l0/UJ9onSTQJKJ/+ly9MPPbu3du88847kcqolStX\n5osTpvCY4tPfR0natm1rtmzZEqUolXhcKleubPsntXsljr5AAeZ6PrEYEHZaNkAzqiBh0rBm\nzZo8GUvFYuWIBjtR8M9g46effrIKkXPnnrp169qKGeTu/OtTBERABERABETg/wkcffTRhr+o\nCZYmnFRLP9+oUSNz3HHHmUTz+6jFWfERARHIfgIZVZDY0PjCCy/YVSR3AsySJUvy7UtymOvX\nr2+VIPy0atXKXubQBmbS2ZfEkhnPSeXunqNPERABERABERCB6BPg8KWePXvaSVH2GmtFNvp5\nphiKwO5AIKNHLLEkjfAyOJSc1atXm1mzZtn3Ijm4CxcuNLNnz7Y/WRZs166dPRr8hx9+sHbj\nnGDHcnvNmjVNmLt7pj5FQAREQAREQAREQAREQAREIBmBjCpImNFxtOiMGTOsknPdddfZk+Ra\nt24dj+vcuXPN9OnT4795TxIrRZ06dTJdu3a1K0b9+vVL2z3uUV9EQAREQAREQAREQAREQARE\nIIFAKe8krEgchbVu3Tq7CpSubTH2yGy0YsNmMglzT3YP13L9kAbyQZv/U5WOzF93h2konzKf\nF0ExcPkkk6AgSpl3Uz5lPg/SiQHWIRzEpPqUDq3M+VE+ZY59QULO9XxCd6hVq1YosozuQfLH\nrnbt2v6fod8TjwdPvCHMPdG/fouACIiACIiACIiACIiACIhARk3shF8EREAEREAEREAEREAE\nREAEokRAClKUckNxEQEREAEREAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokRA\nClKUckNxEQEREAEREAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokRAClKUckNx\nEQEREAEREAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokRAClKUckNxEQEREAER\nEAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokRAClKUckNxEQEREAEREAEREAER\nEAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokRAClKUckNxEQEREAEREAEREAEREAERyCgB\nKUgZxa/ARUAEREAEREAEREAEREAEokRAClKUckNxEQEREAEREAEREAEREAERyCgBKUgZxa/A\nRUAEREAEREAEREAEREAEokRAClKUckNxEQEREAEREAEREAEREAERyCgBKUgZxa/ARUAEREAE\nREAEREAEREAEokRAClKUckNxEQEREAEREAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAE\nREAEokRAClKUckNxEQEREAEREAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokRA\nClKUckNxEQEREAEREAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokRAClKUckNx\nEQEREAEREAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokRAClKUckNxEQEREAER\nEAEREAEREAERyCgBKUgZxa/ARUAEREAEREAEREAEREAEokSgVMyTKEVIcckMgcGDB5sFCxaY\nKVOmmJo1a2YmEgo1lMCQIUPM/PnzzaRJk0zt2rVD/ctDZgjcdddd5uWXX1Y+ZQZ/2qHefffd\nZt68eWbixImmbt26ad8njyVLYOjQoeall14yEyZMMPXq1SvZwBVa2gSGDRtmXnzxRTNu3DhT\nv379tO+Tx5IlMHz4cDNnzhwzduxY06BBg5INPItC0wpSFmVWcUZ148aN5ssvvzTbt28vzmD0\n7F0ksGnTJuXTLjIsidtdPv36668lEZzCKCQBl0+//fZbIZ+g20qCgPKpJCjvehjKp11nWBJP\ncPmk/imYthSkYD5yFQEREAEREAEREAEREAERyCECUpByKLOVVBEQAREQAREQAREQAREQgWAC\newY7yzVXCDRr1sxs27bN7L333rmS5KxMJ/n0yy+/mH322Scr458rkSaffv75Z1O2bNlcSXJW\nprNp06bmp59+Uj5FPPcOO+ww88MPPyifIp5P1KetW7eacuXKRTymuR096tP3339vypcvn9sg\nQlKvQxpCAMlZBERABERABERABERABEQgdwjIxC538lopFQEREAEREAEREAEREAERCCEgBSkE\nkJxFQAREQAREQAREQAREQARyh4AUpNzJa6W0mAl8+umnZvLkyTaUVatW2XerFHOQenxECfDO\nljfeeCNl7FQ+UqIpMQeOuP3vf/9rw+P1BqNHjzZfffVViYVfHAEVdbn68ccfiyOaxf7MgsT7\nhRdeMG+++Waxx6kkApg+fbpZunRpSQS1y2HQRv773/9O+Rx/WWZ/NPVz3bp19lUkiXW1IPmd\nMsDdyGF3KtOZzBYpSJmkr7B3KwIoSLxoF1m9enVcWdqtEqnEpEVg7ty5gZ2/ykdaGIvNExvJ\ne/bsaQdcBLJjxw77csuvv/662MIsiQcXZbli8HrDDTeURLSLNIy///3vZtq0aWk/kxdm7k4K\n0pIlS9JOeyY9hilI/rKMgjRmzBizfv36fHU1W8tpcbLfncp0cXIKe7ZOsQsjJHcRKASB008/\n3fAnEYFkBFQ+klEpuWsoSF988UU8wDJlypgFCxbEf2frl6IsVwxQOTEz24QVlJNOOinboq34\nJhBIVZYT62q2ltOE5OpnBAlIQYpgpqQTJZaUn3rqKfPJJ5+YKlWqmI4dO5qjjz7a3soM0jvv\nvGOOPfZYM2PGDLNx40brdu6555rSpUvHH88yLGZAmJkceeSR5uyzzzZ77rmnPe77vvvuM507\ndzYTJkww++67r+nTp4/hbfMzZ840b7/9tqlUqZLp3r27XTHp1auXWbRokT0u9/zzz48/n+Xw\nsWPHmquvvjrnjpMkD1hF6N+/v8HsgUYdnk4+++wzO8t57bXX2qPVV6xYYZ555hnzzTffmAMO\nOMD84Q9/MDVq1LDe08nPoPLAQ5YvX27DI0/q1atnOnXqZDjqE2GwOGnSJLNs2TJTsWJF06pV\nK3PmmWeaUqVKWfeo/guKN8wop82bNzfPPfec5X/yySfnGTiFMSPdqeqIY4I74cDqxBNPtH/U\nISQWi9n68uqrr1quv//97209w81fPqhX9957r+nRo4eNK3lVv359c/HFF8fLAPcExSWIBffO\nnj3bLFy40GBW1qhRI3PhhRfaOoxbcQoma08//bRZu3atLeccf047RH1wEsTw448/Ns8++6xt\nw6gXF1xwgaldu7a9derUqZZPmzZt3KPMyJEjzRFHHGHbu1RMGPQ/9thj9p5Ro0bZusA95AHP\n33///a1bqnhRn8mfDRs2mNdee83stdde9hmu/eXmsLIVlB9BddVGLOBfQctVqrDef/9988or\nr9gZ++HDh5urrrrKlr8GDRrY8r5p0yZz6aWX2nafdipVHhCf9957z+YJ+cjR9/RV9E20OYsX\nL7Zu1A36FCSIXVhdwcSZNpQ6t8cee9g6xeoDZZC+kmfvt99+Np/r1KmTjyTxDes7g+LHA1Mx\nxS1VmSxsW/vWW2+ZefPm2b6XNjtRgupfOmndsmWLbcOohw0bNjSnnnqqOeSQQ+LBBLVJeHr9\n9ddtu0Oe1KxZ07Rt29Ycd9xx8ftpI6nHpIN6zfiB/EH8ZTl+g/fFlQHqKuXQX07bt29vXnzx\nRdOvX788R8I//vjjtk1gnBN1obyOGDHCdOnSxTRu3DgeXVhTfmg/C1KmeUBQmU2nHPCMVO0h\nbkHjF9yzVWRil4U5Rydz2WWX2c6JQRlKz8CBA20BJjnMjNIhDBkyxDY6vJuAAcG4cePiqaUC\nPvjgg7ajZxCJsnX77bdbd6cI/fnPf7adP++foLNhAPHkk08anscAh0YIhYlKy/teaISoiE4Y\nBFBxcvGs/S+//NKwzI0wgII/XJ0waCefeO/Uu+++axVQ8pUOiBlQzH8YgCFh+RlWHuhEyCs3\nkKMzZsDz+eef2+dTThjEMGN36KGHmocfftgqxtYxwv+C4g0zBmB33XWXTVO1atUM5RmzDiSM\nGX6C6gjuTzzxhPVTvXp1O2i4//777YQEbggdNYMXBgTUkRtvvNGgGCP+8sH+F+oR7uQVdZoy\ncf3111u//AuLSxALOrYHHnjAtGjRwpx22mk2rwcMGBB/dnF9YXBGOSbtDFwYXNN+oMQ4CWLI\n4IrJFdoUlFsGaTzP7RPCtIYBtl/mz58fZ5yKCe0lSiJy4IEHGsqGU2a//fZbez0oXgzm7rnn\nHjNr1ixz1FFHWZMf8srlbVjZCsqPsLpqIxfwryDlKiisqlWr2gEt71ujTUDpxwyNdKNokEba\n/LA8oB6itPz1r381Bx98sH3Orbfeass6fcMxxxxj+6qJEyfaVIWxC6srDK6JM4NxFGoEM0Hq\nIXlFXaRuMXGFWWWiZFNby6TkzTffbJPQpEkTM3ToUKscujSF1b900kqbRD+GQsugvG/fvvH6\nF9YmMeFHm8uEHEoxExN//OMf7USciyN1iPpAm8ckyuWXX27+85//WGd/WXb++fTX1cRyShtD\nu4uC7IR+bvz48SaZQuz8ROmTfpq8g58TyipjCDexVJAyHVanwsoBcQhqD8PGLy4N2fipFaQs\nzDXsq1kVYvazQoUK5qyzzrKDDwa2DESQ7777zg6qDjroIPubwTYz3cz60RAxC4pCxKAYOeWU\nU+yKEDOHboaIa6wcIeyvoTH7xz/+YWf8uMbAArtgGixMGlCgFnhmKmeccQbOtmFltiPXhUEp\nnQkDjBNOOMEqSqwuMfhDHnroIdsB3XnnnfY3K02syqHQukFyUH6GlQdMEFglRKmmQyE+zJKT\nbwiDzCuvvNIwi4swyEg2eLCOEfoXFm9eAArT448/3sYaJZ98oMyHMaPTCKojbrCP4tGyZUv7\nfGbSWaVxXBmkMaBkcAlb/pitYyY2mTALzwABIQ+uu+46qySTjqC4sPoRxALFgjrN7CzKMYoS\nAwgGPHTGxSW0M6TppptushMshMOMNAwQ2iQUplQMUTjJKzdx07VrVzt7ioL1pz/9yT4j6F8q\nJqSZOsCEDvGDNStrTsLihT+UA+JNmerWrZtdQWLlgbwNK1tB+RFWV10cC/KZqlytWbMmZbuA\ncsEKM4NU/8o3Ezr0AX5LhLC48EJK9gVRBpkkouwxWCZ/EeoLlg4MvsPYubBSpal169Z2Mz8K\nA30S7SZtHgNKpzCR3wzUKYv0YYmSLW0t+cCqM306wuQaK8NOwuof/oLSyqTN5s2brYLrBubk\nH+WcNi+sTeLea665Jl5+WD3CcoH6j9KNUBeph7SR1G+sWJjYIn/SkWTllHELSlK7du3sI1DA\niC+KWrYIY6i//e1vtv+HEROY1CParYKW6XTqVFA5CGsP0xm/ZAv3xHhKQUokkgW/MYWiYcf8\nzQkznzRIbGJEqFROOeJ3rVq14qfboOzQKTETyEkxTuj0cXMKkjPBwp3rrASx2uSEzggFCaHj\npAGkYaJyMzjBnItruS68Vdw12ihIzEAzOOUanytXrjSsQjz66KNxVAy8YO4kKD/DygP5SOeA\nSQIztsyidujQwVSuXNk+nu8ot8wU4sbAItUg3sUnCp9h8aZTR3lwQtqZqaZchjELqyMM8Hg+\nyoYTBij8OaEeOXM76gdM6WxSiRs04E59RQgnLC6kMYgFnSozweQ/+Uu9dea0NpBi+kdYxI3O\nfY03GOePwZUblLKCkIohq06Y5fTu3TtP7Ig79ScdCWISdH9QvNx95C11FOETZZiZWiSsbAXl\nR1hdtQEU8F+qclWYsEh3QZQjoupfsaM+YErFioQTTMSZ8EPC2OEXSZUm6+j7Rxs3ePBga8nA\nBB9Kw4cffmh9uBMMfd7t12xoaylrrLSwKuaENp6JGydh9Q9/QWmlHhx++OHxVQv8uwk7VuKD\nxhDUeybkaO8wgWMVh34O5vR5TmiTXRvJNcxUGZfsijARxeQSK6Qox4xJiEs2iZtwfsPbAnGK\nN06gb+YaJvBIQcp0WJ3ieWHlIFU7ne74hTCyUf7XwmdjzHM4zgweMCNgNtj9MaC66KKL4p02\n7n6hE3cz29xPp0Whd/fzyaCJGRknbgDNb2YvGNj4GzNWr/xCw8QKFMoaFRplwNmV+/3l4neU\nRvYrsBoAG2ZAySPMh8gXlFN/XrAPCLMiJ2H5GVQeUNCYdWeViAE3ytB5551nB648n31QmGfQ\nuTLbxN4Xv7Lm4hC1z7B4M5jyc3NlkcFFWB0KqyN0vig95FkqSWZa6upgsnsoA07c4Bv/YXHh\nniAW2N0zkcHA/KOPPrLKEmWB5xanMCCinFG2MBtlwsatthFuEEMXNxQPv9AG+Vc3E3n6V4KC\nmPifmfg9KF7Orz+vuObyi+/EPag+BuVHWF3l+QUVf1xdPOFWmLBcHfLHISgP8Ec9SFSq/HXD\nX4fC2LlwU6XJubtPBuSsHrFaj5kd+eKsJpyfxE9/m4FbYt8ZlLdhTAtbJhPjSD8Cd0wO/eLn\nHFb/uC8ordQDP2d/OORT2BiCvUXUf8zbmLxl8giFxS9uIshdo377FSh3vSCfKGco4eQ34xHG\nLigZ2ST0LZRTlDv6bJRMxldIQct0OnUqrByk6uvSHb9kE3t/XLWC5KeRJd85NAEb1SuuuCLe\nMWMKgemGm2ELSgobjGlYUWDcihC/WYrG/CCZMPvNjC6NjeskE2dymdXDdGuBZ2ZHhXb20cme\nl2vXGBhigoVpHYqSMy+hw6BTxY1BqxPY+pVRdz3ZZ1h5YNaUWTlMgfijUWMmEBMJZpHpSJiZ\npzww+HzSM3vCvA/TDRrGKAqdRlC8iTOKOqZyblaV1Qs6Asp4GLOwOsJz2JtHx+86fTZnY6uN\n3X1RSlhcwlh88MEHtoyxGsMf8eSTMobSVFzCu0pgTVl3AzcUNKfgkAepGN5xxx22/GOW6leq\n+O32DzHr6VZtSAPmP24PURgT/6A8Mf1B8Uonb8PKFmmgzifLD/bppKqrRb3BPKhdIKwgRo5Z\nUB44PwX5DGPnyk66z8Scjz0SvH7BHe6BGSySqNil88yw+AUxLcq2FosDlAnqMAoBQlvktwgJ\nq39h6WVFCpNPv7CfjAE6fX3QGAI/jzzyiFVMzznnHPsI/LMv0M8dJc4vbANw7bX/etD3xHLK\nb1aPGYfQ/qMcUd+yTVCI2CvMah0rR+4QmIKW6bAyG8aF+1O107SHuzp+CQs/k+5aQcok/UKG\nzekmmNIxK8zsAMvYLLmyHMuqUJjQ+dEIMZhjYzGNGY0pDVqqhoTlehpMNtgyK0Olde/88YfH\nSgmmfzRSLJ9L/kcAHmxUZaMlHbVTTHFlDxmrSihOdCIMaAcNGmRtjdPhl055+Mtf/mLYwM7z\nUZAoNzR8KEDY/7NixDXKArb5zNxHVTmCSbrxRtlj4IDdOzb15AEzwmHMwuoIp7Ed4K22sseI\nyQrCYE9g4qpVOvkX5icsLmEsGIRwWAWDBQYnzAxTDsj/4hQGca5MES4dO4MWN0McxJAVBva+\nMIPKQQCUSw42YSXKmTHShtHmYWpEmcYWnnQRVhgTN8mD+SKdv1+C4pU40+q/z30PK1th+ZGq\nrrrnF+VnUFgwwvSNQb//gBl/+EF54PeX7vcwduk8B8uHNZ45J/0iZZAyQf1EmORzh4RQpgoq\n6cQvFdOwMlnQuNCW0Q/TH1PP6MP9Elb//H6TfedUPCY06OeZiMDkjlNpMbMMa5OYECEfaGtQ\napmwYP+n/+XMhMnzUfIoX9Rv6iOTeAWRZOUUNrT59Hl8z0ZhHx2TY/TNKHxu9begZTqdMhvE\nJ6w93NXxS1DYmXbTClKmc6AQ4TN7wwwrmzTZU4FSxOxCuidTsTIxbNgwQ0OOORWdPuYvt912\nmx3gsXyfKDR4zAQzILzllltsx0NDxkl4NPxO2BhJheZwhnRXQNy9u/snDTWdGMej+4WVGpjD\nH87MDOLHDQT9fpN9DysPzOJjYsLAgDynk+LUIE4EQ3HDXps8o6FjMFG3bl07oE4WVlSupRNv\nBtmkFdNR/MMTExckjFlYHeEZKB3MiJJXmKIwieAOWcC9qCSduATlITO4DG44cAXlBBZwoAMu\nTuFQCGagUXRYaeDIWmZEKWsoNORPEENnEspKNPUC5ZM2zu1rZE8VAyz483xmXGkHSV9Y+SBs\n9sEwsUQ8/au38A6KVxizsLIVlh+p6mpYuAV1D2oXeBb76xiU8coB8iyZBOVBMv9h18LYhd2P\nO3s1GIyz14iTwJi049Q6+jnyljLIBnjqREH3WobFL4hpWJlMJ21+P6xAsrmeAw1QQjDL9h8L\nHVb//M9K9p1n0SfR7zOxx0o5ZZd2DgkaQ+DOoRv0dxzvTjtM/8KKNdyd0CZzgAcrv46PWylx\nfsI+E8spp+zSh3GdySu3whb2nCi6U3YZY/mVPNJTkDIdVmbD0h3WHu7q+CUs/Ey6l/Jm2/53\nlFUmY6GwC02AhoWBQzorR8kCYfaUQbF/v1Eyf8zAsdpE5aQhQ+iAOKWG47zdfiT8oTgxc+/e\nJ5LsebqWnwCzaMy4Jdpl5/eZ+kpYeWBGmLzyK7XuaShpzKo6kzF3PeqfyeLtjlJ+/vnn7SCC\nwVGyNJO2MGZhdYRBCvUv1eprUfILi0syFi58BlGklfLl6rBzK87PdPgE+UGpY1UzVb2gzsA+\n1epOEBPcKBcoYMkkKF7J/CdeCypbYfkRVFcTw9nV30FhsTrhNoenCicsD1LdF3Q9iF3Qfbgx\nIKdfc2WC3+QlpsxFJWHxC2IaVCYLGj/abFZ4UpnX72oZZohIWrEqSNZuhLVJWLsw6cdAO5Wk\n4yfVve56Yjll0ggl6ZJLLnFedqvPwpTpsDIbBiioLBXF+CUs/JJ2l4JU0sSzNDzMFZiJZ6aV\nozo5CYzVJDpOZuOYEeakGva10FnyolmJCGSKgF9BylQcFK4IiIAIiEDJEmCFClM9xiC8DxLl\nTCIChSGQWqUvzNN0z25LgJk33j3Ccjl7LTBRYSncva+AmQWUJ2xmWTKXiEAmCbAqkGpGNZPx\nUtgiIAIiIALFR2D48OF23xxjEylHxcc5F56sFaRcyOUiTiMmL9j8JwpL/anMmBL96rcIiIAI\niIAIiIAIFCUBTCsxCwwy6SvK8PSs3ZeAFKTdN2+VMhEQAREQAREQAREQAREQgQIS0DHfBQQm\n7yIgAiIgAiIgAiIgAiIgArsvASlIu2/eKmUiIAIiIAIiIAIiIAIiIAIFJCAFqYDA5F0EREAE\ndncC2PAvXrzYHsqybNmyrEouL47lePeSFF6EySmeHN9cEOF4Zu7jM0x4pwsvOi2o8LJdXtEg\nEQEREAERSJ+AFKT0WcmnCIiACOz2BHi/xsknn2yaN29uunbtau69994iT/PHH39sT8Ms6gej\n2PFiU5S7kpQFCxaYAw44wMyaNatAwc6bN8/ehxITJu3bt7f5EeYv0X3VqlX2xd1sXpeIgAiI\ngAikR0AKUnqc5EsEREAEcoLA3LlzzauvvmoVjQ8++MAMGTKkyNN91FFHmTfffLPIn/voo4+a\n1atXmwEDBhT5s4MeyGsQTj/9dFO7du0gbxlx6927t/n++++LRdHNSIIUqAiIgAiUAAEpSCUA\nWUGIgAiIQLYQ+PLLL21UGVjzJvq6desWedR563pRC2Zud955p+nfv3+Jv26Ad8KxCnTSSScV\ndbJ2+XmlS5c2N9xwg7n77rutorTLD9QDREAERCAHCOhFsTmQyUqiCIiACKRD4KGHHoqbiU2Y\nMMFgAnbrrbfa9559++23Zty4ceaTTz4xmzdvNgcddJA588wz8ykFP/zwg5kzZ46ZP3++DbJL\nly7mlFNOMWXKlDHr1q0zDz/8sH1PybvvvmtfPn355ZebBg0aWL+zvLX/AAAKd0lEQVRvv/22\nmTJlit0zg8lax44dTdu2beNRJ+xJkyaZa665xrBatGbNGnPeeecZzM+IG3HktxOexR6q2267\nLd97UR577DHDu9uuvfZa6z2d9D3yyCOmVq1aNr6wOvTQQ81ll11meFH2+PHjzfnnn28OO+ww\nF7xlyWrcihUr7IuLmzZtaq644gpToUKFuB/3hbjOnj3b7LPPPua0006zZnHOLdUniuaYMWPM\nW2+9Zfc/HXHEEfb5lStXznPL2Wefba6++mozcuRIqyzlcdQPERABERCB/AQ8m22JCIiACIiA\nCMQuvfTSWOPGjWNeTxHzVkVinmIT8w4eiL322muxmjVrxryBfcwzJYudeOKJMW9lIlaqVKnY\nE088ESfnHTZg3TxlKNauXbvYqaeeGttjjz1i3kpUzBvMxzzzN/tMnu+tTNnv3n4he79nymef\nd+CBB8bOPffcmKdM2HhceeWV8ef/85//tNdw5xk827l7+6Zixx57bNwvX4gb/mbOnJnnuqeo\nxbwXScb69etnr6ebvpYtW9o4w4Kw+fMOhYh5io0N5+mnn46Hc+GFF9pr8OzWrVusTp069vfB\nBx8c8xQz6+9f//qXvcZzK1WqZP0dc8wx9pq3lyr+LL40a9YsT/rWr19v84j0EYa3XyxWpUqV\n2P777x9bsmRJnnv54SldMU+BynddF0RABERABPITYCZPIgIiIAIiIAKWgLdKYgfo3gpPnMjv\nfve7WMWKFWPeKWrxa1988YVVMo488sj4tR49ethrKBxOUE4YxHsrNu6SVYS8laP479dff90q\nGxdccEFs27Zt9vqOHTti119/vb138uTJ9ppTkLw9P1YJ2LRpUzxO1apVi3mrJPFn8mXr1q2x\n8uXLx3iuX+6//3773Pfee89eTjd9KDKkhXihOHorWvb+RAXp5Zdftv4GDhwYD5b09O3b115/\n7rnn7HWnIHmrUrGVK1fG/Q4aNMj6mzFjRvxaooLUq1cv6+eZZ56J+/FOxLOKp2fqF7/mvtx8\n880xb3XKKqrumj5FQAREQASSE9AeJK+3k4iACIiACCQn4HUd5pZbbjHeYD7PIQT169c33oqN\nNWvjTvw9++yz1sTthBNOiD/sjDPOMJijYTKXSkaPHm3YKzNixAhrioc/b3XK7pvBpO3BBx/M\ncytmapiyVa1a1caJ4689ZSluquc8Y8rmrTYZTyExnrLkLltzOPZXYZKWbvrczd6qkY1X2bJl\nzSGHHOIu5/ls2LCheeqpp6x5onMgPd5Kkv2JOZ9fPIXLmiy6a7fffrs1yfNWwNylPJ9btmyx\npnXHH3+8Oeuss+Ju++23n/FWruwhGx999FH8Ol8wY2SfFodYSERABERABIIJaA9SMB+5ioAI\niEBOE2Bgzx4f9h1Nnz7dLF261Hz66afm/ffft9/dyW28a4fT0rxVlny8rrrqqnzX/BfYJ+SZ\nhtn9Pf7r7MdBkSEsv3gmZf6fxjMps7/dXia/o2c2aJ588knjrcaYiy++2MaZ/U/eKpL1lm76\n3DMJg3gFCcogf+ypIizSx9+iRYvsbd4qWZ7bW7Vqlec3yhdphHMyYU8Tih28/Xuu8Mt7oJDl\ny5ebww8/3H7nH8oTAivPzM9+1z8REAEREIHkBLSClJyLroqACIiACOwkwAEEKAbnnHOOYbWH\nF6L27NnTcFy3E3f6nWeK5y6l/blx40bj7cFJ6p9VIN7N5Jfq1av7f8ZfoFquXLk81/nhmc+Z\nRo0aGQ6dQEgLB0bwviQn6aTP+U0M2133f6K4EK63n8iwOoSiRBxuvPFGv7f492RpJ92pXiC7\nYcMGey+KFCta/j8UIQ6LSMwHx6YwL5uNR1RfREAERCBHCGgFKUcyWskUAREQgcIQ4OQ5b7+L\nXRliBcmtRPAsTo5jJQPBrAxxipL9sfOft3fI8KJSTlNLJpyIl+q9SJxUl2xVyv8ct4rFykoy\nueSSS+yJed7BBtb0rVOnToZ3FyHppi/Zc1Nd4+Q/Tq/j1DgUSRQyZNq0afbTMbM/vH/JlBZv\nP5FVqpwf/6d3kIX9ySrTxIkT/U6WM+aKicKKEoLJokQEREAERCCYgFaQgvnIVQREQARymgDm\nbRwnzV4Xv3KEMsKg273TaN9997WrTCgB3oEEcWbsDWK15oEHHohfYwDvNzNjzxKrSOxh8gth\n87Ja9goFCfuhEI4BTyYoKSglKC5r1641mN05STd9zn86n6wYsWLjV4647/nnn7e3O2buWd7p\nd+6r/fQOuTCrVq0y3imCea67HyhI3ql41myQ1Sq/wNo7zc6gYPnFsUlmhuj3p+8iIAIiIALG\nSEFSKRABERABEUhJgHf3sALCgQG8p4eBt3eqnH0/EaZdHH6A8sFenuHDh1slhX0xrAjhv3v3\n7tZU7KabboqHweEKvCeJdyJ5p+GZ6667zu5BYqWHcNivg9LASg8rU7zoNEiaNGliUNCcEpDo\nFwXKO57cjBo1yioWHTp0iHtJN33xG9L4wooXZojeaXT2HUjsPeI9RLzDCeG9SX7hunfinfnw\nww/tPi/41atXL2W6yY977rnHcvWO9zavvPKKNeODE+9T4t1O7OnyC/uZ4B6mbPrv0XcREAER\nyFkCXscmEQEREAEREAFLINkx31OnTo15qzz2KG6vs4xxLPXjjz8ec34XLlwYp+eZfFl3/PHn\nmb/FuOYX77S6mLfCYt29F51aJ94n5J14Fw+D47k9RSbG0dVO3DHf7phsd53PPn362PcAuWPC\n/W5856hw4uPtA0p0iqWbPo759h9r7h6UeMy3txoW4xhzOBEm74zyXqob8w6ysMdwt2nTxt7q\njvn29kDFPDND6xf/sMavXxKP+cbNU4ZiniIVv493O3H8t3vPkrvfM2+0/hLfreTc9SkCIiAC\nIpCXQCl+eg2yRAREQAREQAQCCbBfhwMTnElbkGdWhjCjYwWIlaZEYU8S5nfsBWL1yQkHE7Dv\niEMN3N4d5xb0yQpJ8+bN4/t+gvymcitI+lI9w38dU0PMEFnN4UCFMPGUIntYRToHQfifxR4m\nTBQ5Oc9TLP1O9rv3riR73Pk777yjFaR8dHRBBERABPITkIKUn4muiIAIiIAIZCGBAQMGmJde\nesksXrw4j9KVhUkp0ijzviqUR0wMJSIgAiIgAuEEpCCFM5IPERABERCBLCDAu5p4xw9HkXfu\n3DkLYlz8UWSvV5cuXexeKHfaX/GHqhBEQAREILsJ5Ld7yO70KPYiIAIiIAI5SoBDCIYNGxY/\nTjtHMeRJtre/ygwePNhIOcqDRT9EQAREIJCAVpAC8chRBERABERABERABERABEQglwhoBSmX\ncltpFQEREAEREAEREAEREAERCCQgBSkQjxxFQAREQAREQAREQAREQARyiYAUpFzKbaVVBERA\nBERABERABERABEQgkIAUpEA8chQBERABERABERABERABEcglAlKQcim3lVYREAEREAEREAER\nEAEREIFAAlKQAvHIUQREQAREQAREQAREQAREIJcISEHKpdxWWkVABERABERABERABERABAIJ\nSEEKxCNHERABERABERABERABERCBXCLwf+F6kJHzLjiYAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.2.long <- df.2[ ,c('energy', 'liveness', 'speechiness', \n",
    "                      'acousticness', 'instrumentalness',\n",
    "                      'danceability', 'valence')]\n",
    "df.2.long <- melt(df.2.long)\n",
    "\n",
    "ggplot(df.2.long, aes(factor(variable), value)) + geom_boxplot() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e6560d83",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using formula 'y ~ x'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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df82OtSafmaOUz+OCO93pY72K28RmgcdVhyKae2glGKfJMnT7au1zzdc889PjM5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\nA7PBGnMMXfpHAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Correlations\n",
    "df.1.cor <- cor(df.1[c(1,2,4:6,8,12)])\n",
    "ggplot(df.1, aes(x = energy, y = danceability)) +\n",
    "  geom_point() +\n",
    "  geom_smooth(method = \"loess\", se = FALSE) +\n",
    "  ggtitle(\"Correlation between danceability and energy (afrobeats)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1091d23e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using formula 'y ~ x'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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IcqzWPsdqhdS+v8o0ePdpPZz0S92GkPljqtuSsb15ObCQpsN/U6zvXg5bcu/G6n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\n2Y3jM/8E9CJlW1ubtLS05F/hKFGXAnrxWlvv6MVnUngE3B2kxsb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dBBBAAAEEEEAAAQQQyJwAAVLmbFkyAggggAACCCCAAAIIBEyAAClg\nFUZ2EUAAAQQQQAABBBBAIHMCBEiZs2XJCCCAAAIIIIAAAgggEDABAqSAVRjZRQABBBBAAAEE\nEEAAgcwJECBlzpYlI4AAAggggAACCCCAQMAECJACVmFkFwEEEEAAAQQQQAABBDInQICUOVuW\njAACCCCAAAIIIIAAAgETIEAKWIWRXQQQQAABBBBAAAEEEMicAAFS5mxZMgIIIIAAAggggAAC\nCARMgAApYBVGdhFAAAEEEEAAAQQQQCBzAgRImbNlyQgggAACCCCAAAIIIBAwAQKkgFUY2UUA\nAQQQQAABBBBAAIHMCRAgZc6WJSOAAAIIIIAAAggggEDABAiQAlZhZBcBBBBAAAEEEEAAAQQy\nJ0CAlDlblowAAggggAACCCCAAAIBEyBACliFkV0EEEAAAQQQQAABBBDInAABUuZsWTICCCCA\nAAIIIIAAAggETIAAKWAVRnYRQAABBBBAAAEEEEAgcwIESJmzZckIIIAAAggggAACCCAQMAEC\npIBVGNlFAAEEEEAAAQQQQACBzAkQIGXOliUjgAACCCCAAAIIIIBAwAQIkAJWYWQXAQQQQAAB\nBBBAAAEEMidAgJQ5W5aMAAIIIIAAAggggAACARMgQApYhZFdBBBAAAEEEEAAAQQQyJwAAVLm\nbFkyAggggAACCCCAAAIIBEyAAClgFUZ2EUAAAQQQQAABBBBAIHMCBEiZs2XJCCCAAAIIIIAA\nAgggEDABAqSAVRjZRQABBBBAAAEEEEAAgcwJECBlzpYlI4AAAggggAACCCCAQMAECJACVmFk\nFwEEEEAAAQQQQAABBDInQICUOVuWjAACCCCAAAIIIIAAAgETIEAKWIWRXQQQQAABBBBAAAEE\nEMicAAFS5mxZMgIIIIAAAggggAACCARMgAApYBVGdhFAAAEEEEAAAQQQQCBzAgRImbNlyQgg\ngAACCCCAAAIIIBAwAQKkgFUY2UUAAQQQQAABBBBAAIHMCRAgZc6WJSOAAAIIIIAAAggggEDA\nBAiQAlZhZBcBBBBAAAEEEEAAAQQyJ0CAlDlblowAAggggAACCCCAAAIBEyBACliFkV0EEEAA\nAQQQQAABBBDInAABUuZsWTICCCCAAAIIIIAAAggETIAAKWAVRnYRQAABBBBAAAEEEEAgcwIE\nSJmzZckIIIAAAggggAACCCAQMAECpIBVGNlFAAEEEEAAAQQQQACBzAkQIGXOliUjgAACCCCA\nAAIIIIBAwAQIkAJWYWQXAQQQQAABBBBAAAEEMidAgJQ5W5aMAAIIIIAAAggggAACARMgQApY\nhZFdBBBAAAEEEEAAAQQQyJwAAVLmbFkyAggggAACCCCAAAIIBEyAAClgFUZ2EUAAAQQQQAAB\nBBBAIHMCBEiZs2XJCCCAAAIIIIAAAgggEDABAqSAVRjZRQABBBBAAAEEEEAAgcwJECBlzpYl\nI4AAAggggAACCCCAQMAECJACVmFkFwEEEEAAAQQQQAABBDInQICUOVuWjAACCCCAAAIIIIAA\nAgETIEAKWIWRXQQQQAABBBBAAAEEEMicQHHmFs2SEUAAAZHvvvtObrzxRnn//fdl2LBhcsQR\nR8hee+0FDQIIIIAAAgggkJMCBEg5WS1kCoH8EJg5c6bst99+0tzcLK2trbZQL730kkyYMEEu\nuuii/CgkpUAAAQQQQACBvBKgiV1eVSeFQSC3BE4//XRpbGyMBkeau7a2Nrnjjjtk+vTpuZVZ\ncoMAAggggAACCBgBAiQ2AwQQyIhATU2NfPzxx9Le3t5p+cXFxfL88893Gs4ABBBAAAEEEEAg\n2wIESNmuAdaPQJ4KuCZ1iYoXiUTi7iolmoZhCCCAAAIIIIBANgQIkLKhzjoRCIHAkCFDZNSo\nUQlLqneVttlmm4TjGIgAAggggAACCGRTgAApm/qsG4E8F7j66qulqKhICgu9XU1JSYnsvvvu\nst122+V56SkeAggggAACCARRwDtrCWLuyTMCCOS0wJgxY+TJJ5+UHXbYQfSO0hprrCHnnnuu\n3HrrrTmdbzKHAAIIIIAAAuEVoJvv8NY9JUegTwQ23nhjmThxYp+si5Ug0BOBhqYCmb+oUOYt\nKkr4b1l9gayxSqtstWGTbL1Ro6y6YltPVsM8CCCAAAIBESBACkhFkU0EEEAAgfQJfDanRB59\nsULe+LBMapYVdbvg92YUyXszyuTGBwbICkOWB0saMG22XrNUlEe6nZ8JEEAAAQSCI0CAFJy6\nIqcIIIAAAr0QaG4RefHdcnnkhQqZNbu0x0v6cWGxPP6y/qs0z9hFZMM1mmWrjZpk3LYNMnhA\n527te7wiZkQAAQQQyIoAAVJW2FkpAggggEBfCcydXySPvVQhU1+tkNq61B69LS2JyLDBbeZu\nUZuUFEfkP/8tlYbGzvO2tRXIR5+X2X/3P9VfzjqmRrbfvLGvisZ6EEAAAQQyIECAlAFUFokA\nAgggkF0B86otefvjMtuMTj8jkYKEGfrZyi322aLh1W0yzPxbwfzT7wOr4pvNtbaKfPJFqbzz\nSZld7lf/K+m0vKUm+PrLjYPNnaR6OfWIWinvF7+MTjMwAAEEEEAgJwUIkHKyWsgUAggggEBP\nBb74tliuvXugfNpFM7pi0yxO7/IcsHOdbLSWaXeXQio2R8vR6zbbfyccvFQWLC6Ud80zSe+Y\n4Ou9mWWyrN67uzTttQpzR6lUzvv1ElnvZ6ktP4UsMAkCCCCAQB8JECD1ETSrQQABBBDIrID2\nRnfXI/1l8rOV0p7gjpE2mdt3x3rZe7t6qR7Yu2eFhg5ut88c6XNHDY0FcsN9A+Sp1yuiBfx+\nXrGcetkQOWa/ZXLk3sukyIufotPwBQEEEEAgNwUIkHKzXsgVAggggIAPgdeml8kNEwfK/MUd\ne6SLyObrN8sBO9XJmNFNGQlUtCndH46rkZ9v3CTX3DNQtKmdprb2ArnjkSrbLO9P5m7SiKF0\nD+6jSpkUAQQQyJoAAVLW6FkxAggggEBvBeaZ9xdpYPT6h/06LWrDNZvltPE19h1GnUZmYMAO\nWzTK+qZHu8v+OUimzyqLrkGfXTr+L0NNXmpltzEN0eF8QQABBBDITQECpNysF3KFAAIIIJBE\noM3cjJn8XKVtUtfYHN9+raqyXU48uFb22q5BChL3zZBkyb0bNcw0vbvmrEUy6elK+efDVdJq\nernTVG96wLvUBE4zviyxgVLv1sLcCCCAAAKZFCBAyqQuy0YAAQQQSLvA518Xy5V3DJIvE/Qk\nt9uYejn5sKUyqKp3zxj1JtMalB22Z51p2tckl9w6SL6e6/V49+iLlVJhmuRpRw8kBBBAAIHc\nFCBAys16IVcIIIAAAh0EtOtu7YDh1snenRk3ySojWuV005xu0/Wa3aCsf665aqvccv4CuXnS\nAHnEBEYu/XtafxvAHbpHnRvEJwIIIIBADgkQIOVQZZAVBBBAAIHEAkuWFppnewaaDg/inzXS\nl7geZXqJO2LcMin1btQkXkgWhpaVivzePHs03Lxw9tbJA6I5uGlSlXnXUrvsMZZnkqIofEEA\nAQRyRIAAKUcqgmwggAACCCQWeH9mqfz1tkGyuDa+h7qN1mqWcyYskZVXyP3e4Y4YVyca5E16\nuv9PhSyQq+4cKAPM81JjNmlKXHCGIoAAAghkRSD+ydasZIGVIoAAAggg0FmgtVVsc7qzrqmO\nC44KCyLm/UJL5bpzFgYiOHIlO+mQpbLHNvXuT9sN+AU3DZaP/5uDt76iueQLAgggED4BAqTw\n1TklRgABBHJe4Pv5RXLq5UNEn9cR8bqi05e9amB07P7Be/mqdt5w9jE15o5RY9S/uaVA/nh9\ntXz1Pxp0RFH4ggACCGRZgAApyxXA6hFAAAEE4gWef7uf/PqCoTJrtnmAJyZtu2mj3H7hfNl4\n7ZaYoRFjVuEAAEAASURBVMH6WmRaCV7wm8WizQNdqmsolLOvrZa5JigkIYAAAghkX4AAKft1\nQA4QQAABBIxAo3kU50rzXM4ltw627w1yKNoRg77w9eLfLpaqStOVXcCTdiZx6e8WyRore4He\nopoiOcsESYtqOCwHvHrJPgII5IEAe+I8qESKgAACCARdQJuYnXjxUJn2WkVcUVYf2SK3/HmB\n7L+T9+xO3AQB/aN/RUSuPGORrDjUPGj1U/p+XrGcc1211DV4TQrdOD4RQAABBPpOgACp76xZ\nEwIIIIBAAoHHXqqQk0xw9E3MC1V1sn13rJObTXA0amUviEgwe2AHVQ9sl6vOXCSDB3i98H35\nbYlcfMugwJaJjCOAAAL5IECAlA+1SBkQQACBAAosqy+QC24aJNfdO1BaWr27JpXl7fY5nTOO\nrhV9j1A+p5WGt9k7SVpml97+uJ9MeT7+TpobxycCCCCAQOYFCJAyb8waEEAAAQQ6CHz6VYn8\n+sKh8vJ75XFj1hvVLP+8YIHssIXX01vcBHn4x5qrtMrFpywW7b7cpZsfHCBff0/Pds6DTwQQ\nQKAvBQiQ+lKbdSGAAAIhF4iYGOCBpyttF94/LIgNACJy2J7L5Ib/WygjhnpNzsLCtel6zXLk\nXsuixdXuvy8xL8fVd0GREEAAAQT6VoAAqW+9WRsCCCAQWgHtoe2P1w+WmycNkLY2r0ndwP5t\ncsVpi0VfpFocGzOFTOqY/ZbJ2qt73X9/8U2J3PFIVcgUKC4CCCCQfQECpOzXATlAAAEE8l7g\nqdfL5Zjzhok+XxObRq/bZN5ttEC22sj08R3ypMHhn361xDx35TW1u/+pSvnoszx/ECvk9U7x\nEUAg9wQIkHKvTsgRAgggkDcCPywoknPM+32uuGOQLKv3Djn6vM2x+y+Va0wvbkMGeR0U5E3B\ne1iQVVdsk5MPrY3OHYkUyGW3DzR23h236Ei+IIAAAghkRMA7WmVk8SwUAQQQQCCMAvqs0ZQX\nKmTC+UPl3RllcQQjzLt/rj17kWiTskKOQnE2+sd+5p1PP9/Y66Tix4XFcv3EAZ2mYwACCCCA\nQGYEODRlxpWlIoAAAqEV+PaHIvnd5UPkhokDpbHJO8wUmLtGB+1SJ3dctEA2Wcd71ia0UEkK\nfvaxNaLPZrn03FsV8sI78c0T3Tg+EUAAAQTSK+AdudK7XJaGAAIIIBAygTbTUu6+qZVy/F+G\nySdfxD83s8qIVttD3alH1kp5mfeMTciIUi6uvkT2nAk1cdPr+6LmL+KwHYfCHwgggEAGBNjT\nZgCVRSKAAAJhE3jnk1I56eKhcttDA+Je+lpUGJGj9l5m3m00XzZcsyVsLL0q79jRTbLP9vXR\nZegzXJfdPki0+SIJAQQQQCBzAiHuUDVzqCwZAQQQCIvA+zNL5U7TFfWML+PvGGn511y1Rf4w\nYYn55GU+Pd0eTj68VqbPKpXv5i0/XE+fVSaTnqmUw/ao6+kimQ8BBBBAoBsBAqRugBiNAAII\nINBZ4N2PRf7f3aXy/szyTiNLiiOmA4alcviedVJU1Gk0A3wIaHPEP/16iZx62RBpa1/ek93t\nD1fJFus3yRqrEHj6oGRSBBBAIGUBAqSUqZgQAQQQQGDGFyVy56MDTGCkFp2jn7GjG+XEg2tF\nu6smpUdgvZ+1yC9Nj396p05TS2uBXH33QLnxTwulgN6/04PMUhBAAIEYgZwIkL755ht54403\npLq6WsaOHSv9+/ePyWLXXxcsWCCPPfaYHHPMMeYqZecDdddzMgYBBBBAwI/AZ3NK5I4p/eWd\nTxL3pLb1Ro0yYf9lss4onjPy45rqtPoc19sfl8nMn5oyzppdKvry3XHbNqS6CKZDAAEEEEhR\nIOudNNx7771y9NFHy8yZM2XSpEnym9/8RhYvXtxt9iPmKdXLLrtM7rzzTmlr40plt2BMgAAC\nCPRAQHevt5vA6ORLhiQMjjY3Tb3+ce4Cufy0xQRHPfBNdZYic7Q+65c1op1euHTbQ1VS18At\nJOfBJwIIIJAugawGSHrnSAOc66+/Xi666CK5+eabpaysTB544IFuyzd58mQbVHU7IRMggAAC\nCPRIQN9ndMqlQ+RfT1RJeyT+RHyrjUzgdHGTXH3mIll/De4a9QjY50yjVm6V/c1LZF1aXFsk\ndz+WWosLNw+fCCCAAALdC2Q1QHrnnXdk5MiRMnr0aJvT4uJi2XPPPeXZZ59NmvPZs2fL3Xff\nbe82JZ2QkQgggAACPRJ47KUK+fWFw+SzOfG9022wRrNcd85iuecKkc3WNy8+IvWpwIQDlsqA\n/p77w89XyjdzaWLep5XAyhBAIO8FsvoM0ty5c2WllVaKQ9aASZ8tam9vl8LCzvFbS0uLXHjh\nhXLCCSd0mjd2QfPmzZPtt98+dpD87ne/I6iKE0n/HwMHDhT9RwqXwAorrBCuAudxaReZd5P+\n6f+JvPRO/B2j0pKInH2cyPj9SkzpB1mBfv36yYgRI/JYIzeLduYEkb/8bXne2toK5NaHhsk/\nL8nNvJKr/BLg955f9ZlqaSoqKlKdNOen0zgilZTVAOmHH36QAQMGxOWzqso05TDBUU1NjQwe\nPDhunP5x2223yfDhw2W//faT999/v9N4N0DvRm244YbuT/s5ZMgQSRUmbkb+6FZAg1k11+fB\ntP5I4RHQem9tpbvhfKjxV94rkPP/ViyLauKDo3VGtcvlZ7SabqVND2o/HVtKS0vtb51nQPu+\n5vffSeT+J4vl06+WX0R8fXqBPP1ai+y8tfd8UqZypR0i6TPA7OczJZybyy0p0Qsj+vtP7eQy\nN0tBrvwK6LldgekqM5/286mWJasBkv7gOp5Yub8TRasffPCBTJs2zTav666StUc8fU4pNtXW\n1srChQtjB/E9TQLl5eUyaNAgWbZsmTQ00KtSmlgDsZihQ4fKokWL7ElTIDJMJjsJNDWL3PjA\nAHnspcq4cQUFETnUvJD0+AOXSok5Wrjdp54k64Wq5uZmWbJkSdw8/NE3AicfVmLejTQ0urIr\nbiuQ9VZbIKXLz2Ojw9P9RS9i6klyY2NjuhfN8nJYYNiwYfZEmXOoHK6kDGRN+wXQf3r+nC9J\nj196ztpdymqApCdWc+bMicujVoLeOdIK6ZhuueUW0cDpiitM43eT9C6TpvPOO0/23Xdf2W67\n7ezf/IcAAgggkJrAgsWFcvZ11TLnu/gz62GD2+TcXy2R0eua6ImUcwIbrtkiu/68Xp57a3nT\nl7kLiuWBp/vL0fssy7m8kiEEEEAgaAJZDZBGjRolTz31lL2LpM10NM2YMaPLZ4v23nvvuC7A\nv//+ezv9uuuua9+hFDR88osAAghkU+CHBUVy5tXV8v38+EPBzls1yOlH10j/isw32cpm+YO+\n7hMPXiqvTe8njU3Lm9rd92Sl7Dm2XoZV08w56HVL/hFAILsCnXtB6MP87LrrrnZtEydOtO2Z\nv/rqK5k6dap9L5LLxiuvvGKb1enf+tyRvhTW/dt9993tZOPHj5cNNtjAzcInAggggEA3At/9\nWCS/u3xIXHBUWd5u7hotlj+fuITgqBu/XBg9dHB73B2jxuZCuenB+Od6cyGf5AEBBBAImkBW\nAyRtRnfxxRfLlClTbPfep59+uhx00EEyduzYqONzzz0nDz30UPRvviCAAAII9E5gzvfF8rsr\nhsj8xV730NUD2+Tv5y6U3cbwbEnvdPt27kN2r5ORw71OUl58p1z+83l8c8m+zRFrQwABBIIv\nUGB6o8mJNhQ//vij6EOAibr2ThezPt9UV1eXrsWxnBgB10mDPrBNJw0xMCH4qs8S6oO7ObIr\nCYF474r4xTfFcuY1Q6R2mXd9bHh1m1x71kJZaYW2lBbuOmnQ3zqdNKREltGJ3vyoTM69oTq6\njjVWaZFbz19gjqfRQWn7QicNaaMM1IJcJw36ChVSeATytZMG7WSou5SB3Wd3q0w8Xt+jksng\nKPFaGYoAAgiER2DmVyVy2pXxwdHIYa1y/R9SD47CoxWcko7ZpEm23si78/fltyXyxMv5896S\n4NQEOUUAgXwRyJkAKV9AKQcCCCCQiwIffVYqZ11TLXUN3m5/1RVbbHA0Ymhqd45ysVzkabnA\nKYfXSnGR1yDk9ilV5i5h/PussEIAAQQQSE3AO1KmNj1TIYAAAggETODdT0rlHNOVd0Ojt8tf\nY2UNjhaJPuhPCr7AKiPa5ODdvCbktXWFcs/jVcEvGCVAAAEEsiDgHS2zsHJWiQACCCCQWYE3\nPiyTP/2tWppbvLsJ66zeLNeds1AGVREcZVa/b5eu70DSzjZceuylCpm/iMO88+ATAQQQSFWA\nPWeqUkyHAAIIBEzg4/+WyAU3DZaWVi842nDNZrnmrEVSVek1xwpYschuFwIV5RE5dn/vRbFa\n79xF6gKLwQgggEASAQKkJDiMQgABBIIq8N28Ijnv79VxwdFm6zXJVWcslEpzIk3KT4Fx29TL\nikO9br+nvV4uc+d73bnnZ6kpFQIIIJBeAQKk9HqyNAQQQCDrAkvrCuSP11fHdeW96bpNctnv\nF0m/sqxnjwxkUKC4WOSX+3l3kdraCuTux/pncI0sGgEEEMg/AQKk/KtTSoQAAiEWaDU3D86/\ncbB8+4M5U/4prTKiVS46ZbGU8v5QR5LXn7uNaRCtc5eefbNcvpnLXSTnwScCCCDQnQABUndC\njEcAAQQCJHDtvQPlw1nebaIB/dvl8tMWSf8KmtUFqBp7ldUic2Q/dv+l0WW0Rwrkrkfp0S4K\nwhcEEECgGwECpG6AGI0AAggEReC+qZUy7TXvBaElxRG55LeLZOQwr2ezoJSFfPZOYKctG2XU\nSi3Rhbz4bj/56n/eXcXoCL4ggAACCHQSIEDqRMIABBBAIHgCL7/XT257KP4uwTkTlshGa3kn\nycErFTnuqUCB6bjwuAO9u0giBXLHI/HbR0+XzXwIIIBAvgsQIOV7DVM+BBDIe4FZs0vk0n8O\nMuX0uvM+Zr+lsuvPG/O+7BSwa4FtN22Stc07r1x6fXo/+cxsKyQEEEAAgeQCBEjJfRiLAAII\n5LTAjwsL5dwbBse9CHbXnzfEvQ8npwtA5jIqcPwBXo92uqLbH6FHu4yCs3AEEMgLAQKkvKhG\nCoEAAmEUqG9Y3p334lqvhzJ9EezZxy4JIwdlTiCw1UZNotuES+9+0k/0BcIkBBBAAIGuBQiQ\nurZhDAIIIJCzAhHTKd1FtwyS2d95J7sjh7XaThnozjtnqy0rGTs+7lkkcxdpCs8iZaUiWCkC\nCARGgAApMFVFRhFAAAFP4N/TKuXtj/tFB1SWt9sXwQ6sojvvKApfrMDodZtls/WaohoffVYm\n788sjf7NFwQQQACBeAECpHgP/kIAAQRyXuCTL0rkjpi7AIUFEfsi2FVXpDvvnK+8LGXwuANi\ne7QTerTLUj2wWgQQCIYAAVIw6olcIoAAAlagdlmBXHTzYGlr93qs0+6cN1vPe84EKgQ6Cmyw\nZotsvZHXq+HML0vlrf94LxTuOD1/I4AAAmEWIEAKc+1TdgQQCJzA5XcMkvmLvU4ZttigSY7c\nqy5w5SDDfS+w/L1IXhNMvQupz7KREEAAAQTiBQiQ4j34CwEEEMhZgQefqZQ3P/KeO6oe2Cbn\n/mqJ6EtBSQh0J7D2aq2y3WbeXaT/flMir03nLlJ3boxHAIHwCRAgha/OKTECCARQQF8Ge8tk\nr/exAvPc0Xm/XiKDB7QHsDRkOVsCE8x7kXTbcelfT/JeJGfBJwIIIOAECJCcBJ8IIIBAjgos\nqy+QC28eJG1t3q2iX+67TDbluaMcrbHczdaolVplh829u0ifzymlR7vcrS5yhgACWRIgQMoS\nPKtFAAEEUhW46q6B8sOC4ujko9dtEg2QSAj0ROCIveK3nfumchepJ47MgwAC+StAgJS/dUvJ\nEEAgDwSmvFAhr7xfHi3JoKo227SukL131IQv/gT0WaQtTeceLn3waZl8ZppwkhBAAAEElgtw\niGVLQAABBHJU4L9fF8tNDwyIyV3EdsowZBDPHcWg8LUHAkd2uIs0cWplD5bCLAgggEB+ChAg\n5We9UioEEAi4QH2DPnc0WFpaveeOtDvvLTfkfUcBr9qcyP7odZtlvVHetvTa9H7yzVyv+/ic\nyCSZQAABBLIkQICUJXhWiwACCCQTuO5fA+S7ed5zRxuu2SzHHbA02SyMQ8CXwJF7e88iRSIF\ncv9TPIvkC5CJEUAgbwUIkPK2aikYAggEVeDl9/rJc29VRLM/oLJdzj9xsRRxgT9qwpfeC2wz\nuklWXbEluqBn3yyX+Ys4LYiC8AUBBEIrwJ4wtFVPwRFAIBcFFtcWynX3xj53JPKH45bIsGqe\nO8rF+gpynvQFw0eMq4sWodV0Iz/JvIyYhAACCIRdgAAp7FsA5UcAgZwSuPaegVKzzLtVtNe2\n9TLWXOknIZAJgV23bpBhg9uii37i5QqpXeY99xYdwRcEEEAgRAIESCGqbIqKAAK5LaBNnPRh\neZeGV7fJyYfXuj/5RCDtAsXmMbfD9vSeRWpsLpSHn+cuUtqhWSACCARKgAApUNVFZhFAIF8F\n5i8ulOsnxjati9imdZXlkXwtMuXKEYG9t6uXAf29JpxTTIDU0MRdpBypHrKBAAJZECBAygI6\nq0QAAQQ6Clx110Cpa/B2yQfsXC+bred1w9xxev5GIF0C/cpEDtrFexaptq5QnnzFezlxutbD\nchBAAIGgCHhH46DkmHwigAACeSbwuHnu491PvKZ1I4e3yokH07Quz6o5p4tz4M510q/Mu4s0\n6en+0tqa01kmcwgggEDGBAiQMkbLghFAAIHuBX5YUCQ3PlAVnbCgICL/Z3qt06v6JAT6SmBA\n/4jsu0N9dHXzFxeZrua5ixQF4QsCCIRKgAApVNVNYRFAIJcEIubxosvvGCiNTd6u+NA96mSj\ntbx30+RSfslLfgscsnudFBd5z7z9+6lK0W2UhAACCIRNwDsqh63klBcBBBDIssBDz1XIR595\nt4pWMy/tPO6ApVnOFasPq8Cwwe2y+5iGaPG/mVtielX0ts/oCL4ggAACeS5AgJTnFUzxEEAg\nNwW+/aFIbnvI67WuqDAif/xVjZSW5GZ+yVU4BA4ft0y0madL903t777yiQACCIRGgAApNFVN\nQRFAIFcE2syz8JfdPkiaW7yulMfvs0zWWZ2mdblSR2HNxyoj2mS7zRqjxZ81u1Q+nFUa/Zsv\nCCCAQBgECJDCUMuUEQEEckrgAfNsx6dfeSeda67aIuP39l7WmVOZJTOhEzhynNfltxb+gad5\ncWzoNgIKjEDIBQiQQr4BUHwEEOhbAW1ad9ejXq91+lD8uccvkeLivs0Ha0OgK4F1RrXIJus0\nRUe/9Z8y+d+PRdG/+YIAAgjkuwABUr7XMOVDAIGcEdAewa6+e6C0tHpN6yaYThlGrcwLZ3Km\nksiIFThkt9i7SAUy+VnuIrFpIIBAeAQIkMJT15QUAQSyLPDEKxXyn8+9XsG0ad1hpltvEgK5\nJjBmkybRFxa79PTr5bK0zgvs3XA+EUAAgXwUIEDKx1qlTAggkHMCCxYXyi0Pek3rCk1PYWcf\nu0SKaLmUc3VFhkQKzdnBwTF3kRqbC+XxlyugQQABBEIhQIAUimqmkAggkG2B6ycOlLoGb5d7\niLlztPZq3hX6bOeP9SPQUWDPbRqkstx0ufhTmvJCpbS2ub/4RAABBPJXwDta528ZKRkCCCCQ\nVYGX3+tnXrjZL5qHkcNaZcL+vBA2CsKXnBQoL4vIvjvUR/O2YHGRPPcmvYlEQfiCAAJ5K0CA\nlLdVS8EQQCAXBJbVF8gN93kvhNU8nfHLGinzevnOhWySBwQSChy4S53oS4xduu9J3mTsLPhE\nAIH8FSBAyt+6pWQIIJADAjdNGiCLarwHjfbcpl42X785B3JGFhDoXmB4dbtsv4X34tiZXxbJ\nR59523P3S2AKBBBAIHgCBEjBqzNyjAACARH4cFapTH21PJrbwQPa5OTDaqN/8wWBIAjEd/kt\ncv80r7loEPJPHhFAAAG/AgRIfsWYHgEEEEhBoLll+TuPRLyukX93ZK1UVXrNlVJYDJMgkHWB\n9X7WIhus4d31fOW9EvlhAXeRsl4xZAABBDImQICUMVoWjAACYRa469Eq+W6e90D72NGNsuOW\nXlOlMNtQ9uAJHLK7976u9kiBPPQcXX4HrxbJMQIIpCrQ4wCprc3r67O1tVVeeOEFmThxoixa\ntCjVdTMdAgggkJcCX3xTLJOeroyWraJfu5w2vib6N18QCJrAtps1ygpDvG7pp75aYbqt9+6O\nBq085BcBBBBIJtCjAOm6666TlVZaSRobl18NPf7442WXXXaR8ePHy2qrrSYzZsxItk7GIYAA\nAnkr0GZeG3PVXYOkrd07eTzh4KUybLD3Ppm8LTwFy1uBInO2cNAuXpff9Y2FMu017/m6vC04\nBUMAgVAK+A6QXn31VTnzzDNl+PDh0tDQIO+//77cc889sv3228ukSZNk9dVXt4FSKDUpNAII\nhF5g8rOV8vnXXlfIG67ZLPvt6J1Yhh4IgMAK7L19vVT0856he+i5SnMhILDFIeMIIIBAlwJe\nA/kuJ4kfMXXqVFlxxRXlww8/lMLCQnnkkUfsBFdffbVsueWW0tLSYgOkpUuXSlVVVfzM/IUA\nAgjksYA+uH7XI/2jJSwpjsjZxy6RAu9mUnQcXxAImkBleUT227lF7p+6/CVePywoltc+6Cc7\nxHQDHrQykV8EEEAgkYDvO0iff/65jB071gZHusBp06bJsGHDZIsttrDL32CDDSQSicicOXPs\n3/yHAAIIhEXg+okDpLHZ262O32eZrLqi97xmWBwoZ/4KHD6uxQT83l0kvWNKQgABBPJNwDuS\np1iy6upq+eyzz+zUc+fOlQ8++EB23313s8NcfolUO2vQpHeZSAgggEBYBF5+r5+89R/v/TCr\njGiVI8YtC0vxKWdIBFZeISLbb276sP8pffJFqcya7TUpdcP5RAABBIIs4DtA2nPPPeWTTz6R\nU045RY444gh7t+ioo44S7dVOm9n99a9/la233lqGDh0aZBfyjgACCKQsUG968/r7vwfETX/G\nL2ukxHcj5rhF8AcCOSlw+LimuHw9+Ax3keJA+AMBBAIv4DtAOvDAA+XUU0+VW265Rd544w05\n++yzZdy4cRbivPPOs8GRdtpAQgABBMIi8M8pVbJgiffizD23qZfR63gv1gyLA+UMh8DodVtl\n7dW97Vvvns5f5Pt0IhxYlBIBBAIp4HuPph0zXH/99bJ48WJZuHChXHnllbbgRUVF8tZbb8mT\nTz4pa6+9diAxyDQCCCDgV+Az07zokRe8l2YO6N8uJx1a63cxTI9AoAQO2c17cax2af/oS9xF\nClQFklkEEEgq4DtAckurqKiI9lLnXhSr7z/iRbFOiE8EEMh3Ae3i+Op7Bpqmxl43db8xwdHA\n/t5D7PluQPnCKbCj6bmueqDXAckTL5dLs/doUjhRKDUCCOSNQI8CJF4Umzf1T0EQQKAXAg+b\n98B88Y33gProdZtkz20aerFEZkUgGALF5vm62Pd71Swrkhfe4cWxwag9cokAAt0J+A6QeFFs\nd6SMRwCBMAjMM89c3NHhnUenj68JQ9EpIwJWYN8d6qW4yLtbOiWmqSlECCCAQJAFfPexxIti\ng1zd5B0BBNIlcMPEgdLY5F1jOnIv3nmULluWEwyB6oHtsuOWjfLcW8vvHH0+p1Rmflki669B\nW7tg1CC5RACBrgS8o3tXU3QYzotiO4DwJwIIhE7gtQ/K5PUPvXcerbxCq2iAREIgbAIH7uJ1\n1qBlf/h5OmsI2zZAeRHIRwHfARIvis3HzYAyIYBAqgINjQVy/X0D4yY/4+gaKfUeRYobxx8I\n5LPA+j9r6dTl96Ia36cW+UxE2RBAIIACvvdivCg2gLVMlhFAIG0Ct+s7jxZ77zzafUy9bLqe\n906YtK2IBSEQEIGDdqmP5rS1rUAee8nr9j46gi8IIIBAgAR8B0i8KDZAtUtWEUAgrQKff10s\nU573Tv4GVLbLyYfxzqO0IrOwwAnstGWD6dre6/L78ZcrpLU1cMUgwwgggEBUwHeAxItio3Z8\nQQCBEAm0m3ceXWPeedQe886jEw8x7zyq8nrxChEHRUUgKqDNS7VHO5cW1RTJK+97z+i54Xwi\ngAACQRHwHSC5glVVVcns2bNl8uTJ8vTTT9vBgwcPdqP5RAABBPJKQLsw1l66XNp47SYZty3v\nPHIefIZbQN+JVFToXSygs4Zwbw+UHoGgC/QoQJo5c6Zsv/32sskmm8ghhxwid955p3XQv88/\n/3xpamoKugv5RwABBKIC8xcXij575JK+++WMo2uloMAN4ROBcAsMq26XbTdrjCLM+LJUtEkq\nCQEEEAiigO8Aqba2Vvbaay/58ssv5cwzz5QxY8bYcre1tYl24HDxxRfLySefHEQL8owAAggk\nFPjbfQOkodHbXR4+bpmsNpKHLBJiMTC0Agfu7DWzUwTuIoV2U6DgCARewDvip1iUW2+9VWpq\nauTNN9+Uq6++WlZeeWU7Z1FRkdx///1yxhlnyD333CN1dfHvRkhx8UyGAAII5JTAmx+Vyasf\nLH8RpmZs5PBWOXof3nmUU5VEZnJCYJN1muVnK3sviX3h7XKpWcpt1pyoHDKBAAK+BHwHSNO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jeJ09vFjpqYxKCLZ1a/dn/r+bIIm/99bK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WGtxjr/z3W+nzhxwlUstEVZF1b0d/ToUW9U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\nAAEEEIiywP8D2NiSiolzN40AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(df.1, aes(x = energy, y = acousticness)) +\n",
    "  geom_point() +\n",
    "  geom_smooth(method = \"loess\", se = FALSE) +\n",
    "  ggtitle(\"Correlation between acousticness and energy (afrobeats)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "14bb02d4",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using formula 'y ~ x'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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Ejl3aDXOW1J607fT5q2Pmf1nlTW2vGoMsUGLZs+T7W+CRCAAAQyRSCwCpICNJ7I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28Euvo8xW0Xc/ydRe+3zNR1q/atyjnfW6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rIePXqY+ruS4iPw66+/WnFxselV9deiRYsK\nZ/7f//63denSxdq2bVvh77Bh1Qvkco7r/4t33323TKb79OljNWvWLLOeFdET0HTOH330kX3y\nySe22267Wffu3TeZyS+//NI+/PBD95ycAw44wOrXr7/J77BBdAQqeo4vWrTI9CysbEm/64xN\nyyYTvXWVOcf1SIfp06fbrrvuap07d3bj0qJXsuTmiDFIMavbRx991O6//37TZAx6Fsrq1avt\n9ttvt2233TZrSa644gr3R1SB1OzZs61evXp288038/C5rFrRW/nNN9/YsGHDbJdddnEBrgKl\nq6++2nr27LnJzL744ovuIbKjRo2yQw89dJPbs0E0BHI9x99++23TgyW33377jAJMmDDBttlm\nm4x1vImegC6czj77bFuwYIH16tXL3QxRcPuPf/yj3Mw+++yzNn78eNt///3tp59+ss8//9y9\n14UUKfoCuZzjH3zwgV1//fUZhdJzc5YsWWJ//etf7YQTTsj4jDfRE6jMOX7ttdfam2++6X4T\nPvvsM/v999/tjjvuYEKmfFavR4qNwHfffef5fzg9/26Sy7P/QFjPv3j27r777qxl8AMizw+k\nPD+Qcp/7wZR3+OGHe0888UTW7VkZPYHhw4d7t9xyi7dhwwaXuYceesg7/vjjg/fl5fj777/3\njjjiCPf/y+TJk8vbjPURE8j1HFf2H3zwQe8vf/lLxEpCdioq8Pjjj3snnnii99tvv7mvfPvt\nt57fIuTNnTs36y78h0l6/qx23iuvvBJ87l9MeRdddFHwnoXoClTmHC9dmptuusn785//7K1c\nubL0R7yPoECu5/gXX3zh+TdLvPfff9+VRn///UDYu+GGGyJYuuRmiTFI+YxGN/NYM2fOdHcP\n1NSqVKNGDdcy8Oqrr2bds+4o+yeUaSro1PYNGzY0ntaclStyK3WH8NNPP7WjjjoqaFr3gx7X\ncqiuOOUl3V0cPXq0nXbaaa47paaLJcVDINdzXKXy/5ha+/bt41FAcllGQC2A/fv3D7rItWzZ\n0jp27Gjl/a6/9NJLtvPOO7vvpHY2cuTIjbY4pbbjteoFKnOOp+daLUrqHXDZZZdZnTp10j9i\nOaICuZ7j/s1vV5KmTZu6V/0N1znvB8QRLWEys8UYpBjVq7pgaBxRetLzb0pKSsy/w2DVqmXG\nuwqMUsGR+qvrD+uyZcvskEMOSd8FyxEVUNcZpfRnHG233Xbu2Rjql96hQ4esOX/44YddV8pj\njz3W1M2KFB+BXM9xlUwBUu3ate3CCy80v9XBdt99d9f1pvRvRXwUtq6cqs7Tz3GVXu91jmdL\nfuuwKYhSd1v9pq9atcoOPvhg83sHZNucdRETqMw5niqCutSru53f4ujGqqXW8xptgVzPcd3w\n0rOwxo4d6+pa12///e9/Td3uSPkTyLyizt9xOVIlBHTBrBag9KQxBgqOFPiUlxYvXmwjRoww\nDdjX2KXmzZuXtynrIySgH1Vd+OpfelKd//zzz+mrgmX9iD733HN28cUXB61OwYcsRF4g13Nc\nEzToO7pJMmjQIDvzzDPdWBad736XrciXd2vPoFp7VXelf9c31tKv33NdMGk8goJhjT/VhdTE\niRO3ds5YlD/Xczy9UG+88Yb7/+W4445LX81yhAUqc47rZvdZZ53lbnhpHLnGnesmiIImUv4E\naEHKn/VmH0kzUulkS0+p95p8obzUpEkTmzJlivujqq5XGtA9ZsyY8jZnfUQEstW3sqYBn9nq\nW4M4Vb/nnHOOqc5J8RPIVucbO8c1g6VufGhGy1q1arkC62ns6l752muvue6Z8VPYenJcvXp1\n1/KfquNUyfW+vFnpdP7Pnz/f1XtRUZH7im6aqOXYH5dSpidBap+8RkMg13M8PdfqWqebnOpJ\nQIqHQGXOcXWj1CQt6hWg7rf+uDXXenTllVfaVVddFY+CJyCXtCDFqBI1pkh3jNPT8uXL3R3E\n0q0M6dukljUlqD/A39QHesWKFanVvEZUQPWtiyEFPulJdZ7qOpm+/oUXXnB3FzV24YILLnD/\nVM9PPfWUjRs3Ln1TliMqkOs5rr7pzZo1C4IjFUszHipAVgskKdoCqj8Ft9l+11Wv2ZLqVi1H\nqeBI22j2O41PYHxpNrForcv1HE/lXtOCf/zxx3bMMcekVvEaA4HKnOOvv/6660KvbrMKqHXt\ndtJJJ9lbb71V5nogBgSxzSIBUoyqrnXr1q7JNf1u45w5c8qMS0oVSRfG5557buqte9UFs7rk\n6aQlRVtAgzI1EYfqOJU0aYPqr/SYBX2uloNTTz3VvWpZ/3T3Stu2atUqtQteIyyQ6znuz3jm\nWos0LiWVFBipGxZjkFIi0X5VQJt+jiu3moSlvPrT9no+ij93VFAwPetOrUi0LAQkkV3I9RxP\nFeS9996zwsJCulmlQGL0mus5rnGFpVuQ9bdc134ah0bKjwABUn6cQzlKv3793H7U11wXyV9/\n/bUbpHvKKacE+9dnqT+2vXv3dg+YU7O8TizdfXrmmWdM67N10Qp2wkIkBBo1amQDBgxwEy1o\nPIl+NNUXWc80SnWhU9O76lx3oDt16uQultW9KvVPsxzpIZIDBw6MRJnIxMYFKnKO69kY/tTt\nbkcKfFXHeiaOxqUpOLrrrrtcq7L6rJOiL6DxJFOnTnVBkYIe/UavWbMmmHQh/RxXaTSTpVqL\nVOfaTs9AUuuxnp3Eja/o13eu53iqRPr/QMEVKX4CmzrHVaL0azd/Gn9TNzv9LuhaTzdA9Lke\n+l7eMy/jpxL9HPOg2OjXUUYO9URt9UNVt6u6deu6MQZDhw4NttHFsB46OGTIELdu0qRJ7oJJ\nJ5n+mKo/q/q2auwCKfoCuuhVfSu4VTdKDdLUg19Tg7rVFK/pXtVamK1VSYGRpgBm5sLo13Uq\nh5s6x1Xfeki0gmUlzVynfulap6S7lRrY26JFC/ee/0RfwH+WlenhoepOo5YjTbLRrVs3l/Fs\n57hugmm8oVoKFVTpd19jS/V9UvQFcj3HVSI9FFZdrf7+979Hv4DksIzAxs5xbVz62k0Pg77n\nnntcgKSboz169HBjktRFk5QfAQKk/DiHfhR1sVArQumpvbMdSK1HmjlH3S8UVJHiJ6BxR2pi\nL93sHr+SkOOKCuRyjmufmg1NF8hqeSTFT0A3sHSe53IBpDpX17qKjEGNn0jyc5zrOZ58kWSX\nMNdzXDe2de2mrpX0+sn//xsESPk354gIIIAAAggggAACCCAQUQHGIEW0YsgWAggggAACCCCA\nAAII5F+AACn/5hwRAQQQQAABBBBAAAEEIipAgBTRiiFbCCCAAAIIIIAAAgggkH8BAqT8m3NE\nBBBAAAEEEEAAAQQQiKgAAVJEK4ZsIYAAAggggAACCCCAQP4FCJDyb84REUAAAQQQQAABBBBA\nIKICBEgRrRiyhQACCCCAAAIIIIAAAvkXIEDKvzlHRAABBBBAAAEEEEAAgYgKECBFtGLIFgII\nIIAAAggggAACCORfoPoVfsr/YTkiAggggAACfwisW7fOHnjgARs/frw99dRT9s0331iHDh2s\nTp06wUb33nuvff3111ZUVGR33XWX3X777VZcXGwNGza05s2bB9ulFv7zn//YnXfe6badMWOG\n1axZ01q3bp362ObOnWt33HGHdezY0W6++WZ75JFH3PHatm3rtnn77bftnnvusQcffNAWLlxo\ne+21l1111VVuPy1atLAXXnjBHn/8cevatWtGPvVlrZ88ebLtv//+wfFYQAABBBCIiYBHQgAB\nBBBAoAoFFi1a5HXr1s3z/2x67dq1844++mivsLDQa9mypTdnzpwgZ927d/d69erltW/f3ttm\nm228gw46yKtfv75XvXp17+mnnw6204IfaHm1atVy/4488kjPD2Lc/v/5z38G2z333HNu3Z/+\n9Cf3Wq1aNe+ss85yn19//fVuXadOnbxjjz3Wa9q0qTue8njddde5bZ555hm3zX333RfsUwsr\nV670GjVq5J122mkZ63mDAAIIIBAPAbrYxSSQJZsIIIBAUgUuvPBC++CDD+zZZ5+1zz77zCZN\nmmQff/yxrVmzxs4+++yMYqtVZ9CgQa5F54033rBZs2ZZ3bp17aabbgq2+/LLL23kyJGu9eaH\nH35wLT0ffvihjRo1ym688UZ77bXXgm218Prrr5sfiFlJSYldeeWVpv1efPHF9re//c0++ugj\n84Mv9/nSpUszvnfEEUfY9ttvb4899ljG+ueff96WLVtmfoCUsZ43CCCAAALxECBAikc9kUsE\nEEAgkQK//PKLTZgwwfbdd18bPHhwUEZ1YTvppJPsrbfestmzZwfra9eubVdffbULirRy1113\ndV3fvvvuu2Abdb9TcKXASwFMKp133nmue9y4ceNSq9zr8OHDbY899rBtt93Wdd/zW4bc/q+5\n5horKChw22g/o0ePzvie30JlQ4YMsTfffNPmzZsXfKaueq1atbLevXsH61hAAAEEEIiPQI34\nZJWcIoAAAggkTeCLL74wv8OFLV++3I4//viM4s2fP9+9//zzz83v6uaWNdZIgUl68ru/2Sef\nfBKsUiuUAhuNWbr//vuD9VqoV6+eaX/pye/Wl/7W1NrUpk0b87vxZazXWKPS6YwzzrDbbrvN\njTlSQKaxSq+88oprgUoFV6W/w3sEEEAAgWgL0IIU7fohdwgggECiBdStTUnd5PwxQBn/1Ip0\nwgknZAQqCnBKJwUiCrJSSftUS1ONGjUy9qf9H3roodazZ8/Upu51u+22y3i/ePHiMkGYNlAe\nSydN3NClS5egm50mZ1i/fj3d60pD8R4BBBCIkQAtSDGqLLKKAAIIJE1gl112cUVSK87EiRMz\niqdAw5+AIWNdRd5onzNnznQzzpVuHdJseQqcNpY0i53GRCnoSm8F0gx62ZJakTTmSa1Y//rX\nv8yfSMJS5cq2PesQQAABBKItQAtStOuH3CGAAAKJFlAg0axZMzcxg7rZpSeN7/Fns7P08UXp\nn5e3nJpaW2OB0pPGMjVo0MDOOeec9NVllo855hg3YcOTTz6Z8ZmmBM+WNFZK3f40Rfl7771n\np59+erbNWIcAAgggEBOBjd9Gi0khyCYCCCCAQDwF9GyisWPH2imnnGL+9N52+eWXu3FCCk70\nPKRLL73U/Om+cyqcP1W3e/bRrbfeak2aNLF+/fq5WfE0uYMCpEsuuWSj+1OLkJ5/pEBHs+Sp\nFeqll16yl19+2X0vvVVJK9RFz59K3B1T3fD8acM3un8+RAABBBCItgABUrTrh9whgAACiRc4\n+eSTXQvMueeeG8z8pm5wQ4cO3WQwkw1HQdf06dNtxIgR5j/3yNStTkkz3j3xxBMuaMr2vdQ6\nHVvfP//8813Llqb3PvDAA9103wMHDjT/2UupTYNXBVWa/c5/ZlLGmKlgAxYQQAABBGIjUKDH\nNcUmt2QUAQQQQCDRAj/99JMtWbLETZOdLRDJtfCa7lvPRfIf3Go77rhjxpii8valPOjYpWex\n0/OS+vbt64KsE088MePrU6ZMcRNATJs2zfr06ZPxGW8QQAABBOIlQIAUr/oitwgggAACW1hg\nzJgxdsEFF1hxcbHtt99+wdEGDBhgU6dOdWOiNN14Km3YsMEOO+ww+/bbb23u3LkVCsJS3+UV\nAQQQQCB6AgRI0asTcoQAAgggUIUCmhRi7733NgU+CoqKiopMLUNz5sxxz1Y688wzXe7UAaN3\n7962YMEC10qlLnbpD7utwiJwaAQQQACBzRAgQNoMPL6KAAIIIJBMgR9//NFNzKCuc3pgbY8e\nPezwww93AVN6ifVwW3XJ03gpZq9Ll2EZAQQQiK8AAVJ8646cI4AAAggggAACCCCAQMgCPAcp\nZFB2hwACCCCAAAIIIIAAAvEVIECKb92RcwQQQAABBBBAAAEEEAhZgAApZFB2hwACCCCAAAII\nIIAAAvEVIECKb92RcwQQQAABBBBAAAEEEAhZgAApZFB2hwACCCCAAAIIIIAAAvEVIECKb92R\ncwQQQAABBBBAAAEEEAhZgAApZFB2hwACCCCAAAIIIIAAAvEVIECKb92RcwQQQAABBBBAAAEE\nEAhZ4H9MvU55j6trXwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.2.cor <- cor(df.2[c(1,2,4:6,8,12)])\n",
    "\n",
    "ggplot(df.2, aes(x = energy, y = valence)) +\n",
    "  geom_point() +\n",
    "  geom_smooth(method = \"loess\", se = FALSE) +\n",
    "  ggtitle(\"Correlation between valence and energy (indie-pop)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "30b48c57",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using formula 'y ~ x'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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ugq3u/BK935tR6/h6bEXhP1mTsh8GzUs9RAKZN9R/uI6ta1UkRie0DUdtSLojz0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\nkn3ENAQQQAABBBBAAAEEEMihQPIz9hxlYPbs2bbiiivGbU0B07x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AIIIIAAAgjk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Img3wEnMtze1PpNcKjpoll8vlZ+bInNu3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\ngAACCHgJXHfddXLvvfdK165dJS4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0WLFrlWKnWxS77ZbTkWgbdGAAEEECiFAAFSKfB4KQIIIIBAPAUWLlzoJmZQ1zndsLZN\nmzZ2zDHHuIApucS6ua265Gm8FLPXJcvwGAEEEIiuAAFSdOuOnCOAAAIIIIAAAggggEAZC3Af\npDIGZXcIIIAAAggggAACCCAQXQECpOjWHTlHAAEEEEAAAQQQQACBMhYgQCpjUHaHAAIIIIAA\nAggggAAC0RUgQIpu3ZFzBBBAAAEEEEAAAQQQKGMBAqQyBmV3CCCAAAIIIIAAAgggEF0BAqTo\n1h05RwABBBBAAAEEEEAAgTIWIEAqY1B2hwACCCCAAAIIIIAAAtEVIECKbt2RcwQQQAABBBBA\nAAEEEChjgf8DNs46HGGI1vMAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(df.2, aes(x = energy, y = acousticness)) +\n",
    "  geom_point() +\n",
    "  geom_smooth(method = \"loess\", se = FALSE) +\n",
    "  ggtitle(\"Correlation between acousticness and energy (indie-pop)\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "e45e229c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.3779220275"
      ],
      "text/latex": [
       "0.3779220275"
      ],
      "text/markdown": [
       "0.3779220275"
      ],
      "text/plain": [
       "[1] 0.377922"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.345853561654135"
      ],
      "text/latex": [
       "0.345853561654135"
      ],
      "text/markdown": [
       "0.345853561654135"
      ],
      "text/plain": [
       "[1] 0.3458536"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.317548613653299"
      ],
      "text/latex": [
       "0.317548613653299"
      ],
      "text/markdown": [
       "0.317548613653299"
      ],
      "text/plain": [
       "[1] 0.3175486"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.284891270435014"
      ],
      "text/latex": [
       "0.284891270435014"
      ],
      "text/markdown": [
       "0.284891270435014"
      ],
      "text/plain": [
       "[1] 0.2848913"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "ename": "ERROR",
     "evalue": "Error in arrange(boring.1, (boringness)): could not find function \"arrange\"\n",
     "output_type": "error",
     "traceback": [
      "Error in arrange(boring.1, (boringness)): could not find function \"arrange\"\nTraceback:\n",
      "1. head(arrange(boring.1, (boringness)), 30)"
     ]
    }
   ],
   "source": [
    "# mean and sd of all scores\n",
    "mean(as.vector(t(df.1[c(1,2,4:6,8,12)])))\n",
    "\n",
    "mean(as.vector(t(df.2[c(1,2,4:6,8,12)])))\n",
    "\n",
    "sd(as.vector(t(df.1[c(1,2,4:6,8,12)])))\n",
    "\n",
    "sd(as.vector(t(df.2[c(1,2,4:6,8,12)])))\n",
    "\n",
    "# Boringness\n",
    "\n",
    "# NOTE: for loudness, the higher the value, the loudest the song\n",
    "\n",
    "# NOTE: the lowest boringness is, the more boring the song is\n",
    "boringness <- function(df){\n",
    "  return ((df$loudness) + (df$energy*100) + (df$danceability*100) + (df$tempo))\n",
    "}\n",
    "\n",
    "boring.1 <- data.frame(boringness = boringness(df.1), uri = df.1$uri, who = 'me')\n",
    "head(arrange(boring.1, (boringness)), 30)\n",
    "head(arrange(boring.1, desc(boringness)), 30)\n",
    "summary(boring.1)\n",
    "\n",
    "ggplot(boring.1, aes(boringness)) +\n",
    "  geom_histogram() +\n",
    "  ggtitle(\"Histogram of the boringness score (afrobeats)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "0118de44",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\n",
      "`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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/bZvbHFc1KyMwF5utg5K6b4YXvlK1+Z7ygVZcSPf3b0sf2QwCJt8TceoBoPTo1y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Ftssuu9jgwYOtUaNG8TY1sXDhQnvllVds0qRJ1qFDBzv++ONtyZIlNnXqVLvmmmt8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\n5EUAAQQQQAABBBBAAIGiFvgfzTDgjisaA3IAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "ename": "ERROR",
     "evalue": "Error in arrange(boring.2, (boringness)): could not find function \"arrange\"\n",
     "output_type": "error",
     "traceback": [
      "Error in arrange(boring.2, (boringness)): could not find function \"arrange\"\nTraceback:\n",
      "1. head(arrange(boring.2, (boringness)))"
     ]
    },
    {
     "data": {
      "image/png": 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o2HtSFAgAABAgQIECBAoEYBAalGfIsm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\nAAEEEEAAAQQQQACBOBb4P9D/UxbrUESBAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "boring.2 <- data.frame(boringness = boringness(df.2), uri = df.2$uri, who = 'indie-pop')\n",
    "\n",
    "ggplot(boring.2, aes(boringness)) +\n",
    "  geom_histogram() +\n",
    "  ggtitle(\"Histogram of the boringness score (indie-pop)\")\n",
    "\n",
    "boring.total <- rbind(boring.2, boring.1)\n",
    "ggplot(boring.total, aes(x = boringness, fill = who)) +\n",
    "  geom_histogram(alpha=0.6, position='identity')\n",
    "\n",
    "head(arrange(boring.2, (boringness)))\n",
    "head(arrange(boring.2, desc(boringness)))\n",
    "\n",
    "summary(boring.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "2af0a1d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ALrr79+ih8LgSoJPP7441VqTmXbUpiAdP7556evf/3r6fTTT29cUhdf7uL+pI03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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ECAAAECBAgsS0BAWpaQ1wkQIECAAAECBAgQGBqBKTn3dPbs2WnevHk5d1Hfhlhg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\nYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "boring.stats <- data.frame(mean = c(mean(boring.1$boringness), mean(boring.2$boringness)),\n",
    "                           sd = c(sd(boring.1$boringness), sd(boring.2$boringness)),\n",
    "                           who = c('afrobeats', 'indie-pop'))\n",
    "\n",
    "ggplot(boring.stats, aes(x = who,y = mean,fill = who)) +\n",
    "  geom_bar(stat=\"identity\") +\n",
    "  ggtitle(\"Boringness Score Mean\")\n",
    "\n",
    "ggplot(boring.stats, aes(x = who,y = sd,fill = who)) +\n",
    "  geom_bar(stat=\"identity\") +\n",
    "  ggtitle(\"Boringness Score standard deviation\")\n",
    "\n",
    "# Write a csv with just the implicit audio features\n",
    "implicit.1 <- df.1[c('energy', 'liveness', 'speechiness', 'acousticness', 'instrumentalness', 'danceability', 'valence')]\n",
    "implicit.2 <- df.2[c('energy', 'liveness', 'speechiness', 'acousticness', 'instrumentalness', 'danceability', 'valence')]\n",
    "implicit.1$who <- 'afrobeats'\n",
    "implicit.2$who <- 'indie-pop'\n",
    "implicit <- rbind(implicit.1, implicit.2)\n",
    "write.table(implicit, file='implicit_features.csv', row.names = FALSE, sep=',')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "23d28c4b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "202f5e66",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3114ddc8",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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