{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c1a73bea-22fb-4738-babd-3a29685e1339",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pathlib\n",
    "import os\n",
    "import statistics\n",
    "from multiprocessing import Pool, Manager\n",
    "\n",
    "from symusic import Score\n",
    "import pandas as pd\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "889bbe99-874e-4d26-8686-fd360d0c58cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def polyphony_rate(notes, threshold=2):\n",
    "    # https://hermandong.com/muspy/doc/metrics.html#muspy.metrics.polyphony_rate\n",
    "    try:\n",
    "        events = []\n",
    "        for note in notes:\n",
    "            events.append((note.start, 1))\n",
    "            events.append((note.end, -1))\n",
    "    \n",
    "        events.sort()\n",
    "        active_notes = 0\n",
    "        polyphonic_steps = 0\n",
    "        total_steps = 0\n",
    "        last_time = None\n",
    "    \n",
    "        for time, change in events:\n",
    "            if last_time is not None and time != last_time:\n",
    "                if active_notes > threshold:\n",
    "                    polyphonic_steps += (time - last_time)\n",
    "                total_steps += (time - last_time)\n",
    "            active_notes += change\n",
    "            last_time = time\n",
    "\n",
    "        return polyphonic_steps / total_steps\n",
    "    except:\n",
    "        return None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "344142dd-857c-4721-9644-9bdd810284b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def extract_features(midi_path):\n",
    "    midi_id = midi_path.parts[-2] + '/' + midi_path.stem\n",
    "    score = Score(midi_path).to('Quarter')\n",
    "\n",
    "    try:\n",
    "        global_tempo = round(statistics.median([t.qpm for t in score.tempos]))\n",
    "    except:\n",
    "        global_tempo = None\n",
    "    try:\n",
    "        time_sig = statistics.mode([(ts.numerator, ts.denominator) for ts in score.time_signatures])\n",
    "    except:\n",
    "        time_sig = None\n",
    "\n",
    "    track_features = []\n",
    "    for i, t in enumerate(score.tracks):\n",
    "        track_features.append({\n",
    "            \"midi_id\": midi_id,\n",
    "            \"track_id\": i,\n",
    "            \"program\": 128 if t.is_drum else t.program,\n",
    "            \"num_notes\": len(t.notes),\n",
    "            \"end_time\": t.end(),\n",
    "            \"polyphony_rate\": polyphony_rate(t.notes),\n",
    "        })\n",
    "\n",
    "    return {\n",
    "        \"score\": {\n",
    "            \"midi_id\": midi_id,\n",
    "            \"global_tempo\": global_tempo,\n",
    "            \"time_signature\": time_sig,\n",
    "        },\n",
    "        \"tracks\": track_features\n",
    "    }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "09ded55b-a119-444f-bc70-fc3a312677c8",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 54%|█████████████████████████████████████████████████████████████████████████████████████████████████████▋                                                                                        | 205926/384696 [05:28<05:30, 541.36it/s]Division type 1 have no tpq.\n",
      "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 384696/384696 [10:11<00:00, 628.94it/s]\n"
     ]
    }
   ],
   "source": [
    "manager = Manager()\n",
    "score_data = manager.list()\n",
    "track_data = manager.list()\n",
    "\n",
    "midi_files = list(pathlib.Path('data').glob('*/*.mid'))\n",
    "\n",
    "with Pool(4) as pool:\n",
    "    for result in tqdm(pool.imap_unordered(extract_features, midi_files), total=len(midi_files)):\n",
    "        score_data.append(result[\"score\"])\n",
    "        track_data.extend(result[\"tracks\"])\n",
    "\n",
    "score_df = pd.DataFrame(list(score_data))\n",
    "track_df = pd.DataFrame(list(track_data))\n",
    "\n",
    "score_df.to_csv(\"score_features.csv\", index=False)\n",
    "track_df.to_csv(\"track_features.csv\", index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "92181bfa-2a8d-4c85-bdfa-f6221b6e87b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c9da857b-cad8-432c-ae96-3b04c2ccc655",
   "metadata": {},
   "outputs": [],
   "source": [
    "score_features_csv = \"score_features.csv\"\n",
    "score_df = pd.read_csv(score_features_csv)\n",
    "\n",
    "def plot_histogram(data, column, bins=20, title=\"\", xlabel=\"\", ylabel=\"Frequency\", is_categorical=False):\n",
    "    plt.figure(figsize=(12, 9))\n",
    "    if is_categorical:\n",
    "        # 分类数据绘制柱状图\n",
    "        value_counts = data[column].value_counts()\n",
    "        plt.bar(value_counts.index.astype(str), value_counts.values, color='skyblue', edgecolor='black', alpha=0.7)\n",
    "    else:\n",
    "        # 连续数据绘制直方图\n",
    "        plt.hist(data[column], bins=bins, color='skyblue', edgecolor='black', alpha=0.7)\n",
    "    \n",
    "    plt.title(title)\n",
    "    plt.xlabel(xlabel)\n",
    "    plt.ylabel(ylabel)\n",
    "    plt.grid(axis='y', linestyle='--', alpha=0.7)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "dda61de1-57af-496f-b473-a27bc7f60cb4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HVt7msDK9LM28efMyb968yu1//etf2W677f6rrwsAAACsqtdeey09e/Zc5vZmGw5MmjQpSdK1a9dG9a5du1a2TZo0KV26dGm0vaamJhtttFGjNX369FliH4u3dezYMZMmTVrh46yol6W58MILc9555y1R/93vfpc2bdokSTp16pTNN988L7/8ct5+++3Kmh49emSTTTbJuHHjUldXV6n37t07nTt3zlNPPdXoLQ1bbbVVOnTokDFjxqShoaFS33777VNbW5uxY8c26uEDH/hA5s+fn2eeeaZSq6qqyq677ppp06Y1up7C4uswTJkyJa+88kql3q5du2yzzTb517/+lYkTJ1bqZjKTmcxkJjOZyUxmMpOZzGSm5jHTZpttlq233jpt27bN8jTbtxWMHDkye+yxRyZOnJju3btX1n3+859PqVTKrbfemgsuuCA333xzxo0b12hfXbp0yXnnnZfjjz8+++yzT/r06ZMf/ehHle3PPvtstt9++zz77LPp27dvamtrc/PNN+ewww6rrLn22mtz3nnnZfLkySvVy9K898yBurq6bLrppnn77bfTrl27JIsOqKqqqjQ0NDT6Bi6u19fX593fomXVq6urUyqVsnDhwkY9VFdXJ0nq6+tXql5TU5NyudyoXiqVUl1dvUSPy6qbyUxmMpOZzGQmM5nJTGYyk5max0yzZs1Khw4dMn369Mrr0KVptmcOdOvWLUkyefLkRi/IJ0+enF122aWy5s0332x0v4ULF2bq1KmV+3fr1i2TJ09utGbx7RWteff2FfWyNC1btkzLli2XqNfU1KSmpvGXfvE3+L0WH4QrW3/vflenXiqVllpfVo+rWjeTmZZVN5OZEjMtq8dVrZvJTImZltXjqtbNZKbETMvqcVXrZlr3M63s9e6a9NMKlqdPnz7p1q1b7r///kqtrq4uo0ePTv/+/ZMk/fv3z7Rp0zJmzJjKmgceeCANDQ3ZfffdK2seeeSRLFiwoLJmxIgR2WabbdKxY8fKmnc/zuI1ix9nZXoBAACA9VWThgMzZ87ME088kSeeeCLJogv/PfHEE3n11VdTKpVy8skn57vf/W5+//vf56mnnsoXv/jF9OjRo/LWg759+2bffffNMccck7/97W/561//miFDhuTQQw9Njx49kiSHH354amtrM3jw4DzzzDO59dZbc+WVVza6AOFJJ52U4cOH59JLL81zzz2Xc889N48//niGDBmSJCvVCwAAAKyvmvSaAw899FA+/vGPL1EfNGhQbrrpppTL5Zxzzjm5/vrrM23atOy555659tprs/XWW1fWTp06NUOGDMkf/vCHVFVV5bOf/WyuuuqqbLjhhpU1Tz75ZE444YQ89thj2XjjjfO1r30t3/jGNxo95u23356zzz47r7zySrbaaqtcfPHF2X///SvbV6aXFamrq0v79u1X+F4PAAAAWBNW9nVos7kgYREIBwAAAFiXVvZ1aLO95gAAAACwbggHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCq2nqBgBgVUyZMiV1dXVN3cYKtWvXLp07d27qNgAAVopwAID1xpQpU/KlY4/LjDlzm7qVFWrbulVuuH6YgAAAWC8IBwBYb9TV1WXGnLnZ68jj06l7z6ZuZ5nefuP1PPTz61JXVyccAADWC8IBANY7nbr3TLdefZq6DQCA9w0XJAQAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCadThQX1+fb3/72+nTp09at26dLbbYIueff37K5XJlTblcztChQ9O9e/e0bt06AwYMyAsvvNBoP1OnTs0RRxyRdu3apUOHDhk8eHBmzpzZaM2TTz6Zj3zkI2nVqlU23XTTXHzxxUv0c/vtt2fbbbdNq1atsuOOO+aee+5ZO4MDAADAOtSsw4GLLroo1113Xa6++ur885//zEUXXZSLL744P/zhDytrLr744lx11VUZNmxYRo8enTZt2mTgwIGZO3duZc0RRxyRZ555JiNGjMhdd92VRx55JMcee2xle11dXfbZZ5/06tUrY8aMySWXXJJzzz03119/fWXNyJEjc9hhh2Xw4MEZO3ZsDjzwwBx44IF5+umn180XAwAAANaSZh0OjBw5Mp/5zGdywAEHpHfv3vnc5z6XffbZJ3/729+SLDpr4IorrsjZZ5+dz3zmM9lpp53ys5/9LBMnTsydd96ZJPnnP/+Z4cOH5yc/+Ul233337LnnnvnhD3+YX/3qV5k4cWKS5JZbbsn8+fNzww03ZPvtt8+hhx6aE088MZdddlmllyuvvDL77rtvTj/99PTt2zfnn39+PvjBD+bqq69e518XAAAAWJNqmrqB5fmf//mfXH/99Xn++eez9dZb5x//+Ef+8pe/VF60jx8/PpMmTcqAAQMq92nfvn123333jBo1KoceemhGjRqVDh06pF+/fpU1AwYMSFVVVUaPHp2DDjooo0aNykc/+tHU1tZW1gwcODAXXXRR3nnnnXTs2DGjRo3Kqaee2qi/gQMHVkKIpZk3b17mzZtXuV1XV5ckWbhwYRYuXJgkqaqqSlVVVRoaGtLQ0FBZu7heX1/f6G0Uy6pXV1enVCpV9vvuerLoLRorU6+pqUm5XG5UL5VKqa6uXqLHZdXNZCYzmWltzdTQ0JCamuqUyg1JuZyUSklD4x5T+nfuXW5YuXpV9aJ9LbX+78dZYb2UVFUlDQ1JyimVF/W5eI6ifZ/MZCYzmclMZjJT85np3WuWp1mHA2eeeWbq6uqy7bbbprq6OvX19fne976XI444IkkyadKkJEnXrl0b3a9r166VbZMmTUqXLl0aba+pqclGG23UaE2fPn2W2MfibR07dsykSZOW+zhLc+GFF+a8885boj527Ni0adMmSdK5c+dsscUWGT9+fKZMmVJZ07Nnz/Ts2TPPP/98pk+fXqlvvvnm6dKlS55++unMmTOnUt92223ToUOHjB07ttGBudNOO6W2tjaPP/54ox769euX+fPn58knn6zUqqur86EPfSjTp0/Pc889V6m3bt06O++8c9566628/PLLlXr79u3Tt2/fTJw4Ma+//nqlbiYzmclMa2umt99+Owd8ckA2nvNWSnO7pNy6bapff25RWPBvC7tvldS0SM1rzzaaaeGm2yULF6Tmjf9cl6Zcqkr9ZtunNHdmqt985T/1Fi1T32PrlGZOS/XUf/2n3mrD1Hftk6rpU1I1/c1KvWHDjmno1DNV70xM1cx3svGc2TngkwMqcxTt+2QmM5nJTGYyk5maz0y9e/fOyiiVVzZGaAK/+tWvcvrpp+eSSy7J9ttvnyeeeCInn3xyLrvssgwaNCgjR47MHnvskYkTJ6Z79+6V+33+859PqVTKrbfemgsuuCA333xzxo0b12jfXbp0yXnnnZfjjz8+++yzT/r06ZMf/ehHle3PPvtstt9++zz77LPp27dvamtrc/PNN+ewww6rrLn22mtz3nnnZfLkyUvtf2lnDmy66aZ5++23065duySSLzOZyUxmWpWZXn755Rx/ymk58JRz07XX5s32zIHJr76SOy8/N8OuuCxbbrll4b5PZjKTmcxkJjOZqfnMNGvWrHTo0CHTp0+vvA5dmmZ95sDpp5+eM888M4ceemiSZMcdd8yECRNy4YUXZtCgQenWrVuSZPLkyY3CgcmTJ2eXXXZJknTr1i1vvvlmo/0uXLgwU6dOrdy/W7duS7zAX3x7RWsWb1+ali1bpmXLlkvUa2pqUlPT+Eu/+Bv8XosPwpWtv3e/q1MvlUpLrS+rx1Wtm8lMy6qbyUzJ8meqqqrKwoX1KZeqFgUDyaIX60tTWoV6qbSMelVSWto+llH/9zzl0qI+S//usWjfp5XtcVXrZjJTYqZl9biqdTOZKTHTsnpc1Xpzn2nx/4+sSLO+IOHs2bOX+OIsTlqSpE+fPunWrVvuv//+yva6urqMHj06/fv3T5L0798/06ZNy5gxYyprHnjggTQ0NGT33XevrHnkkUeyYMGCypoRI0Zkm222SceOHStr3v04i9csfhwAAABYXzXrcOBTn/pUvve97+Xuu+/OK6+8kt/+9re57LLLctBBByVZlICcfPLJ+e53v5vf//73eeqpp/LFL34xPXr0yIEHHpgk6du3b/bdd98cc8wx+dvf/pa//vWvGTJkSA499ND06NEjSXL44YentrY2gwcPzjPPPJNbb701V155ZaMLEJ500kkZPnx4Lr300jz33HM599xz8/jjj2fIkCHr/OsCAAAAa1KzflvBD3/4w3z729/OV7/61bz55pvp0aNHvvKVr2To0KGVNWeccUZmzZqVY489NtOmTcuee+6Z4cOHp1WrVpU1t9xyS4YMGZK99947VVVV+exnP5urrrqqsr19+/a57777csIJJ2TXXXfNxhtvnKFDh+bYY4+trPmf//mf/OIXv8jZZ5+db37zm9lqq61y5513Zocddlg3XwwAAABYS5r1BQnfb+rq6tK+ffsVXggCgKV76aWXMviEE/PZM76Xbr36rPgOTWTShPG54+Jv5afXXJUtttiiqdsBAApsZV+HNuu3FQAAAABrn3AAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAouGYfDvzrX//KF77whXTq1CmtW7fOjjvumMcff7yyvVwuZ+jQoenevXtat26dAQMG5IUXXmi0j6lTp+aII45Iu3bt0qFDhwwePDgzZ85stObJJ5/MRz7ykbRq1SqbbrppLr744iV6uf3227PtttumVatW2XHHHXPPPfesnaEBAABgHWrW4cA777yTPfbYIy1atMi9996bZ599Npdeemk6duxYWXPxxRfnqquuyrBhwzJ69Oi0adMmAwcOzNy5cytrjjjiiDzzzDMZMWJE7rrrrjzyyCM59thjK9vr6uqyzz77pFevXhkzZkwuueSSnHvuubn++usra0aOHJnDDjssgwcPztixY3PggQfmwAMPzNNPP71uvhgAAACwltQ0dQPLc9FFF2XTTTfNjTfeWKn16dOn8vdyuZwrrrgiZ599dj7zmc8kSX72s5+la9euufPOO3PooYfmn//8Z4YPH57HHnss/fr1S5L88Ic/zP77758f/OAH6dGjR2655ZbMnz8/N9xwQ2pra7P99tvniSeeyGWXXVYJEa688srsu+++Of3005Mk559/fkaMGJGrr746w4YNW1dfEgAAAFjjmnU48Pvf/z4DBw7M//t//y8PP/xwNtlkk3z1q1/NMccckyQZP358Jk2alAEDBlTu0759++y+++4ZNWpUDj300IwaNSodOnSoBANJMmDAgFRVVWX06NE56KCDMmrUqHz0ox9NbW1tZc3AgQNz0UUX5Z133knHjh0zatSonHrqqY36GzhwYO68885l9j9v3rzMmzevcruuri5JsnDhwixcuDBJUlVVlaqqqjQ0NKShoaGydnG9vr4+5XJ5hfXq6uqUSqXKft9dT5L6+vqVqtfU1KRcLjeql0qlVFdXL9HjsupmMpOZzLS2ZmpoaEhNTXVK5YakXE5KpaShcY8p/fukuHLDytWrqhfta6n1fz/OCuulpKoqaWhIUk6pvKjPxXMU7ftkJjOZyUxmMpOZms9M716zPM06HHj55Zdz3XXX5dRTT803v/nNPPbYYznxxBNTW1ubQYMGZdKkSUmSrl27Nrpf165dK9smTZqULl26NNpeU1OTjTbaqNGad5+R8O59Tpo0KR07dsykSZOW+zhLc+GFF+a8885boj527Ni0adMmSdK5c+dsscUWGT9+fKZMmVJZ07Nnz/Ts2TPPP/98pk+fXqlvvvnm6dKlS55++unMmTOnUt92223ToUOHjB07ttGBudNOO6W2trbRdRqSpF+/fpk/f36efPLJSq26ujof+tCHMn369Dz33HOVeuvWrbPzzjvnrbfeyssvv1ypt2/fPn379s3EiRPz+uuvV+pmMpOZzLS2Znr77bdzwCcHZOM5b6U0t0vKrdum+vXnFoUF/7aw+1ZJTYvUvPZso5kWbrpdsnBBat74z3VpyqWq1G+2fUpzZ6b6zVf+U2/RMvU9tk5p5rRUT/3Xf+qtNkx91z6pmj4lVdPfrNQbNuyYhk49U/XOxFTNfCcbz5mdAz45oDJH0b5PZjKTmcxkJjOZqfnM1Lt376yMUnllY4QmUFtbm379+mXkyJGV2oknnpjHHnsso0aNysiRI7PHHntk4sSJ6d69e2XN5z//+ZRKpdx666254IILcvPNN2fcuHGN9t2lS5ecd955Of7447PPPvukT58++dGPflTZ/uyzz2b77bfPs88+m759+6a2tjY333xzDjvssMqaa6+9Nuedd14mT5681P6XdubApptumrfffjvt2rVLIvkyk5nMZKZVmenll1/O8aeclgNPOTdde23ebM8cmPzqK7nz8nMz7IrLsuWWWxbu+2QmM5nJTGYyk5maz0yzZs1Khw4dMn369Mrr0KVp1mcOdO/ePdttt12jWt++fXPHHXckSbp165YkmTx5cqNwYPLkydlll10qa958881G+1i4cGGmTp1auX+3bt2WeIG/+PaK1izevjQtW7ZMy5Ytl6jX1NSkpqbxl37xN/i9Fh+EK1t/735Xp14qlZZaX1aPq1o3k5mWVTeTmZLlz1RVVZWFC+tTLlUtCgaSRS/Wl6a0CvVSaRn1qqS0tH0so/7vecqlRX2W/t1j0b5PK9vjqtbNZKbETMvqcVXrZjJTYqZl9biq9eY+0+L/H1mRZv1pBXvssccSv/F//vnn06tXrySLLk7YrVu33H///ZXtdXV1GT16dPr3758k6d+/f6ZNm5YxY8ZU1jzwwANpaGjI7rvvXlnzyCOPZMGCBZU1I0aMyDbbbFP5ZIT+/fs3epzFaxY/DgAAAKyvmnU4cMopp+TRRx/NBRdckBdffDG/+MUvcv311+eEE05IsigBOfnkk/Pd7343v//97/PUU0/li1/8Ynr06JEDDzwwyaIzDfbdd98cc8wx+dvf/pa//vWvGTJkSA499ND06NEjSXL44YentrY2gwcPzjPPPJNbb701V155ZaMLEJ500kkZPnx4Lr300jz33HM599xz8/jjj2fIkCHr/OsCAAAAa1KzflvBhz70ofz2t7/NWWedle985zvp06dPrrjiihxxxBGVNWeccUZmzZqVY489NtOmTcuee+6Z4cOHp1WrVpU1t9xyS4YMGZK99947VVVV+exnP5urrrqqsr19+/a57777csIJJ2TXXXfNxhtvnKFDh1Y+xjBJ/ud//ie/+MUvcvbZZ+eb3/xmttpqq9x5553ZYYcd1s0XAwAAANaSZn1Bwveburq6tG/ffoUXggBg6V566aUMPuHEfPaM76Vbrz4rvkMTmTRhfO64+Fv56TVXZYsttmjqdgCAAlvZ16HN+m0FAAAAwNonHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABRcTVM3APB+N2XKlNTV1TV1GyvUrl27dO7cuanbAACgCQgHANaiKVOm5EvHHpcZc+Y2dSsr1LZ1q9xw/TABAQBAAQkHANaiurq6zJgzN3sdeXw6de/Z1O0s09tvvJ6Hfn5d6urqhAMAAAUkHABYBzp175luvfo0dRsAALBULkgIAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCW61w4OWXX17TfQAAAABNZLXCgS233DIf//jH83//93+ZO3fumu4JAAAAWIdWKxz4+9//np122imnnnpqunXrlq985Sv529/+tqZ7AwAAANaB1QoHdtlll1x55ZWZOHFibrjhhrzxxhvZc889s8MOO+Syyy7LlClT1nSfAAAAwFryX12QsKamJgcffHBuv/32XHTRRXnxxRfz9a9/PZtuumm++MUv5o033lhTfQIAAABryX8VDjz++OP56le/mu7du+eyyy7L17/+9bz00ksZMWJEJk6cmM985jNrqk8AAABgLalZnTtddtllufHGGzNu3Ljsv//++dnPfpb9998/VVWLsoY+ffrkpptuSu/evddkrwAAAMBasFrhwHXXXZcvfelLOeqoo9K9e/elrunSpUt++tOf/lfNAQAAAGvfaoUDL7zwwgrX1NbWZtCgQauzewAAAGAdWq1rDtx44425/fbbl6jffvvtufnmm//rpgAAAIB1Z7XCgQsvvDAbb7zxEvUuXbrkggsu+K+bAgAAANad1QoHXn311fTp02eJeq9evfLqq6/+100BAAAA685qhQNdunTJk08+uUT9H//4Rzp16vRfNwUAAACsO6sVDhx22GE58cQT8+CDD6a+vj719fV54IEHctJJJ+XQQw9d0z0CAAAAa9FqfVrB+eefn1deeSV77713amoW7aKhoSFf/OIXXXMAAAAA1jOrFQ7U1tbm1ltvzfnnn59//OMfad26dXbcccf06tVrTfcHAAAArGWrFQ4stvXWW2frrbdeU70AAAAATWC1woH6+vrcdNNNuf/++/Pmm2+moaGh0fYHHnhgjTQHAAAArH2rFQ6cdNJJuemmm3LAAQdkhx12SKlUWtN9AQAAAOvIaoUDv/rVr3Lbbbdl//33X9P9AAAAAOvYan2UYW1tbbbccss13QsAAADQBFYrHDjttNNy5ZVXplwur+l+AAAAgHVstd5W8Je//CUPPvhg7r333my//fZp0aJFo+2/+c1v1khzAAAAwNq3WuFAhw4dctBBB63pXgAAAIAmsFrhwI033rim+wAAAACayGpdcyBJFi5cmD/96U/50Y9+lBkzZiRJJk6cmJkzZ66x5gAAAIC1b7XOHJgwYUL23XffvPrqq5k3b14++clPpm3btrnooosyb968DBs2bE33CQAAAKwlq3XmwEknnZR+/frlnXfeSevWrSv1gw46KPfff/8aaw4AAABY+1brzIE///nPGTlyZGpraxvVe/funX/9619rpDEAAABg3VitMwcaGhpSX1+/RP31119P27Zt/+umAAAAgHVntcKBffbZJ1dccUXldqlUysyZM3POOedk//33X1O9AQAAAOvAar2t4NJLL83AgQOz3XbbZe7cuTn88MPzwgsvZOONN84vf/nLNd0jAAAAsBatVjjQs2fP/OMf/8ivfvWrPPnkk5k5c2YGDx6cI444otEFCgEAAIDmb7XCgSSpqanJF77whTXZCwAAANAEVisc+NnPfrbc7V/84hdXqxkAAABg3VutcOCkk05qdHvBggWZPXt2amtrs8EGGwgHAAAAYD2yWp9W8M477zT6M3PmzIwbNy577rmnCxICAADAema1woGl2WqrrfL9739/ibMKAAAAgOZtjYUDyaKLFE6cOHFN7hIAAABYy1brmgO///3vG90ul8t54403cvXVV2ePPfZYI40BAAAA68ZqhQMHHnhgo9ulUimdO3fOJz7xiVx66aVroi8AAABgHVmtcKChoWFN9wEAAAA0kTV6zQEAAABg/bNaZw6ceuqpK732sssuW52HAAAAANaR1QoHxo4dm7Fjx2bBggXZZpttkiTPP/98qqur88EPfrCyrlQqrZkuAQAAgLVmtcKBT33qU2nbtm1uvvnmdOzYMUnyzjvv5Oijj85HPvKRnHbaaWu0SQAAAGDtWa1rDlx66aW58MILK8FAknTs2DHf/e53fVoBAAAArGdWKxyoq6vLlClTlqhPmTIlM2bM+K+bAgAAANad1QoHDjrooBx99NH5zW9+k9dffz2vv/567rjjjgwePDgHH3zwmu4RAAAAWItW65oDw4YNy9e//vUcfvjhWbBgwaId1dRk8ODBueSSS9ZogwAAAMDatVrhwAYbbJBrr702l1xySV566aUkyRZbbJE2bdqs0eYAAACAtW+13law2BtvvJE33ngjW221Vdq0aZNyubym+gIAAADWkdUKB95+++3svffe2XrrrbP//vvnjTfeSJIMHjzYxxgCAADAema1woFTTjklLVq0yKuvvpoNNtigUj/kkEMyfPjwNdYcAAAAsPat1jUH7rvvvvzxj39Mz549G9W32mqrTJgwYY00BgAAAKwbq3XmwKxZsxqdMbDY1KlT07Jly/+6KQAAAGDdWa1w4CMf+Uh+9rOfVW6XSqU0NDTk4osvzsc//vE11hwAAACw9q3W2wouvvji7L333nn88cczf/78nHHGGXnmmWcyderU/PWvf13TPQIAAABr0WqdObDDDjvk+eefz5577pnPfOYzmTVrVg4++OCMHTs2W2yxxZruEQAAAFiLVvnMgQULFmTffffNsGHD8q1vfWtt9AQAAACsQ6t85kCLFi3y5JNPro1eAAAAgCawWm8r+MIXvpCf/vSna7oXAAAAoAms1gUJFy5cmBtuuCF/+tOfsuuuu6ZNmzaNtl922WVrpDkAAABg7VulcODll19O79698/TTT+eDH/xgkuT5559vtKZUKq257gAAAIC1bpXCga222ipvvPFGHnzwwSTJIYcckquuuipdu3ZdK80BAAAAa98qXXOgXC43un3vvfdm1qxZa7QhAAAAYN1arQsSLvbesAAAAABY/6xSOFAqlZa4poBrDAAAAMD6bZWuOVAul3PUUUelZcuWSZK5c+fmuOOOW+LTCn7zm9+suQ4BAACAtWqVwoFBgwY1uv2FL3xhjTYDAAAArHurFA7ceOONa6sPAAAAoImsUjgAwPvX/PnzMmHChKZuY7kmTJiQhQsXNnUbAADvO8IBADJj2tSMf+nlfOv8CyrXlWmO5syelYmTJmfBgvlN3QoAwPuKcACAzJ09K1UtWuRjRx6fTXpv0dTtLNMLTzyWO679Qerr65u6FQCA9xXhAAAVnbr1SLdefZq6jWWaMvG1pm4BAOB9qaqpGwAAAACalnAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDB1TR1AwDwfjR//rxMmDChqdtYKe3atUvnzp2bug0AoAkJBwBgDZsxbWrGv/RyvnX+BWnZsmVTt7NCbVu3yg3XDxMQAECBrVfhwPe///2cddZZOemkk3LFFVckSebOnZvTTjstv/rVrzJv3rwMHDgw1157bbp27Vq536uvvprjjz8+Dz74YDbccMMMGjQoF154YWpq/jP+Qw89lFNPPTXPPPNMNt1005x99tk56qijGj3+Nddck0suuSSTJk3KzjvvnB/+8IfZbbfd1sXoAKxH5s6elaoWLfKxI4/PJr23aOp2luvtN17PQz+/LnV1dcIBACiw9SYceOyxx/KjH/0oO+20U6P6Kaeckrvvvju333572rdvnyFDhuTggw/OX//61yRJfX19DjjggHTr1i0jR47MG2+8kS9+8Ytp0aJFLrjggiTJ+PHjc8ABB+S4447LLbfckvvvvz9f/vKX07179wwcODBJcuutt+bUU0/NsGHDsvvuu+eKK67IwIEDM27cuHTp0mXdfjEAWC906tYj3Xr1aeo2AABWaL24IOHMmTNzxBFH5Mc//nE6duxYqU+fPj0//elPc9lll+UTn/hEdt1119x4440ZOXJkHn300STJfffdl2effTb/93//l1122SX77bdfzj///FxzzTWZP39+kmTYsGHp06dPLr300vTt2zdDhgzJ5z73uVx++eWVx7rssstyzDHH5Oijj852222XYcOGZYMNNsgNN9ywbr8YAAAAsIatF2cOnHDCCTnggAMyYMCAfPe7363Ux4wZkwULFmTAgAGV2rbbbpvNNtsso0aNyoc//OGMGjUqO+64Y6O3GQwcODDHH398nnnmmXzgAx/IqFGjGu1j8ZqTTz45STJ//vyMGTMmZ511VmV7VVVVBgwYkFGjRi2z73nz5mXevHmV23V1dUmShQsXZuHChZX9VFVVpaGhIQ0NDY32X1VVlfr6+pTL5RXWq6urUyqVKvt9dz1ZdAbFytRrampSLpcb1UulUqqrq5focVl1M5nJTI1nqqmpTqnckDT8e3tVdVJuSN71mMuul5KqqqShIcm76qVSUqr6zz5XWK9atG1p9SSllNOiRYuUyuVFa/5dT7mh8fqq6kX9LbW+9mdq1Ge5vNyZluhxHc60uM/KmjX0fVorM/377+VyudEx31x/nt6PzxFmMpOZzGQmM63Nmd69ZnmafTjwq1/9Kn//+9/z2GOPLbFt0qRJqa2tTYcOHRrVu3btmkmTJlXWvDsYWLx98bblramrq8ucOXPyzjvvpL6+fqlrnnvuuWX2fuGFF+a8885boj527Ni0adMmSdK5c+dsscUWGT9+fKZMmVJZ07Nnz/Ts2TPPP/98pk+fXqlvvvnm6dKlS55++unMmTOnUt92223ToUOHjB07ttGBudNOO6W2tjaPP/54ox769euX+fPn58knn6zUqqur86EPfSjTp09vNFfr1q2z884756233srLL79cqbdv3z59+/bNxIkT8/rrr1fqZjKTmf4z09y5c3PAJwdk4zlvpea12Sm3aJn6HlunNHNaqqf+q7K+3GrD1Hftk6rpU1I1/c1KvWHDjmno1DNV70xM1cx3/lNv3yUNHbqmesqrKc2dWanXb7RJym03SvWkl1Ja8J9wsr5L75Rbt031688tCir+bWH3rZKaFtm8dTlfPvKIdK+fnprXns3CTbdLFi5IzRsv/KfHUlXqN9s+pbkzU/3mK/+pr8OZ3t1nae7M5c5U89qzjb5P63KmxX22LS/6Hqyp79PamKn9/EX/AzF9+vRGx3Zz/Hl6Pz5HmMlMZjKTmcy0tmfq3bt3VkapvLIxQhN47bXX0q9fv4wYMaJyrYG99toru+yyS6644or84he/yNFHH93ot/NJsttuu+XjH/94Lrroohx77LGZMGFC/vjHP1a2z549O23atMk999yT/fbbL1tvvXWOPvroRmcG3HPPPTnggAMye/bsvPPOO9lkk00ycuTI9O/fv7LmjDPOyMMPP5zRo0cvtf+lnTmw6aab5u233067du2SSL7MZKb3+0wvvvhijjv51Bx4yrnpulnvfz9w8ztz4OlHH8nN3/tmhvzg+vTaettme+bA06P/8p8+t9mu2Z45sLjPE35wfXpvu32zPnNg0qsTcsclZ+cnV1/Z6H8emuPP0/vxOcJMZjKTmcxkprU906xZs9KhQ4dMnz698jp0aZr1mQNjxozJm2++mQ9+8IOVWn19fR555JFcffXV+eMf/5j58+dn2rRpjc4emDx5crp165Yk6datW/72t7812u/kyZMr2xb/d3Ht3WvatWuX1q1bp7q6OtXV1Utds3gfS9OyZculfoRVTU1No09KSP7zDX6vxQfhytbfu9/VqZdKpaXWl9XjqtbNZKZl1d+vMy1cWJ9yqWrRC7PKhqqktJSdLKu+lHkW1Zfe+6rWyyllwYIFKZdK7+lzKetLpWXU1/5MjfoslZa/fmk9Lqu+hmda3OcKe1zV+tqY6d89rurPn+cIMy2rbiYzJWZaVo+rWjeTmZL/fqZSaWn/07KkZn1Bwr333jtPPfVUnnjiicqffv365Ygjjqj8vUWLFrn//vsr9xk3blxeffXVym/4+/fvn6eeeipvvvmf0z9HjBiRdu3aZbvttqusefc+Fq9ZvI/a2trsuuuujdY0NDTk/vvvb3QmAQAAAKyPmvWZA23bts0OO+zQqNamTZt06tSpUh88eHBOPfXUbLTRRmnXrl2+9rWvpX///vnwhz+cJNlnn32y3Xbb5cgjj8zFF1+cSZMm5eyzz84JJ5xQ+a3+cccdl6uvvjpnnHFGvvSlL+WBBx7IbbfdlrvvvrvyuKeeemoGDRqUfv36ZbfddssVV1yRWbNm5eijj15HXw0AAABYO5p1OLAyLr/88lRVVeWzn/1s5s2bl4EDB+baa6+tbK+urs5dd92V448/Pv3790+bNm0yaNCgfOc736ms6dOnT+6+++6ccsopufLKK9OzZ8/85Cc/ycCBAytrDjnkkEyZMiVDhw7NpEmTsssuu2T48OFLXKQQAAAA1jfrXTjw0EMPNbrdqlWrXHPNNbnmmmuWeZ9evXrlnnvuWe5+99prr4wdO3a5a4YMGZIhQ4asdK8AAACwPmjW1xwAAAAA1j7hAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4GqaugGA1TFlypTU1dU1dRsrNGHChCxcuLCp2wAAgOUSDgDrnSlTpuRLxx6XGXPmNnUrKzRn9qxMnDQ5CxbMb+pWAABgmYQDwHqnrq4uM+bMzV5HHp9O3Xs2dTvL9cITj+WOa3+Q+vr6pm4FAACWSTgArLc6de+Zbr36NHUbyzVl4mtN3QIAAKyQCxICAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFFxNUzcANC9TpkxJXV1dU7exXBMmTMjChQubug0AAHjfEA4AFVOmTMmXjj0uM+bMbepWlmvO7FmZOGlyFiyY39StAADA+4JwAKioq6vLjDlzs9eRx6dT955N3c4yvfDEY7nj2h+kvr6+qVsBAID3BeEAsIRO3XumW68+Td3GMk2Z+FpTtwAAAO8rLkgIAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwTXrcODCCy/Mhz70obRt2zZdunTJgQcemHHjxjVaM3fu3Jxwwgnp1KlTNtxww3z2s5/N5MmTG6159dVXc8ABB2SDDTZIly5dcvrpp2fhwoWN1jz00EP54Ac/mJYtW2bLLbfMTTfdtEQ/11xzTXr37p1WrVpl9913z9/+9rc1PjMAAACsa806HHj44Ydzwgkn5NFHH82IESOyYMGC7LPPPpk1a1ZlzSmnnJI//OEPuf322/Pwww9n4sSJOfjggyvb6+vrc8ABB2T+/PkZOXJkbr755tx0000ZOnRoZc348eNzwAEH5OMf/3ieeOKJnHzyyfnyl7+cP/7xj5U1t956a0499dScc845+fvf/56dd945AwcOzJtvvrluvhgAAACwltQ0dQPLM3z48Ea3b7rppnTp0iVjxozJRz/60UyfPj0//elP84tf/CKf+MQnkiQ33nhj+vbtm0cffTQf/vCHc9999+XZZ5/Nn/70p3Tt2jW77LJLzj///HzjG9/Iueeem9ra2gwbNix9+vTJpZdemiTp27dv/vKXv+Tyyy/PwIEDkySXXXZZjjnmmBx99NFJkmHDhuXuu+/ODTfckDPPPHMdflUAAABgzWrW4cB7TZ8+PUmy0UYbJUnGjBmTBQsWZMCAAZU12267bTbbbLOMGjUqH/7whzNq1KjsuOOO6dq1a2XNwIEDc/zxx+eZZ57JBz7wgYwaNarRPhavOfnkk5Mk8+fPz5gxY3LWWWdVtldVVWXAgAEZNWrUMvudN29e5s2bV7ldV1eXJFm4cGHlbQ1VVVWpqqpKQ0NDGhoaGu2/qqoq9fX1KZfLK6xXV1enVCot8XaJ6urqJIvOoFiZek1NTcrlcqN6qVRKdXX1Ej0uq26m9XemhoaGVFWVFi1oaPyYKZWSUtVS6lWLti2tniTlhpWrV1Un5fIy6g2Lti3eRf7993L5PY9bSqqqkoaGJOV3lZfV+zqYKeW0aNEipXf3upSZll1fNzOV3tvnGvg+rY2ZGvVZLq/zY29lZ1rcZ2VNM/55Wvz3crnc6LmpKM97ZjKTmcxkJjO932d695rlWW/CgYaGhpx88snZY489ssMOOyRJJk2alNra2nTo0KHR2q5du2bSpEmVNe8OBhZvX7xteWvq6uoyZ86cvPPOO6mvr1/qmueee26ZPV944YU577zzlqiPHTs2bdq0SZJ07tw5W2yxRcaPH58pU6ZU1vTs2TM9e/bM888/XwlFkmTzzTdPly5d8vTTT2fOnDmV+rbbbpsOHTpk7NixjQ7MnXbaKbW1tXn88ccb9dCvX7/Mnz8/Tz75ZKVWXV2dD33oQ5k+fXqjuVq3bp2dd945b731Vl5++eVKvX379unbt28mTpyY119/vVI30/o70+zZs7PVFpsvepwpr6Y0d2Zlff1Gm6TcdqNUT3oppQX/Cb3qu/ROuXXbVL/+XErveiGysPtWSU2L1Lz2bKOZFm66XbJwQWreeKFSK5eqUr/Z9inNnZnqN1/5T71Fy9T32DqlmdNSPfVflXq32kVPcG3L8xrtv2HDjmno1DNV70xM1cx3/lNv3yUNHbo2yUytq5IvH3lEutdPT81rzy5zpnKrDVPftU+qpk9J1fT/vF1pXc20eetyoz7XxPdpbcz07j5Lc2eu82NvZWda3Gfb8qLvQXP+eWo/f9H/QEyfPr3Rc1BRnvfMZCYzmclMZnq/z9S7d++sjFJ5ZWOEJnb88cfn3nvvzV/+8pf07NkzSfKLX/wiRx99dKPfzifJbrvtlo9//OO56KKLcuyxx2bChAmNrh8we/bstGnTJvfcc0/222+/bL311jn66KMbnRlwzz335IADDsjs2bPzzjvvZJNNNsnIkSPTv3//ypozzjgjDz/8cEaPHr3Unpd25sCmm26at99+O+3atUsi+TJT85pp/Pjx+cpJp+Sgr3833TbdrNFjNqffdD49+i/5ybmn5+Qrb0zvrbd9986b3ZkDT416OD/73jcz5AfXp9fiXpvhmQNPP/pIbn53n830zIGnR//lP31us12zPXNgcZ8n/OD69N52+2Z95sCkVyfkl987Ped/66xstlnjn/vFzxGNWy+lVCqtkXqy5G8zllWvqqpK27ZtK2cPLl7rudxMZjKTmcxkpuXPNGvWrHTo0CHTp0+vvA5dmvXizIEhQ4bkrrvuyiOPPFIJBpKkW7dumT9/fqZNm9bo7IHJkyenW7dulTXv/VSBxZ9m8O417/2Eg8mTJ6ddu3Zp3bp1qqurU11dvdQ1i/exNC1btkzLli2XqNfU1KSmpvGXfvE3+L0WH4QrW3/vflenXiqVllpfVo+rWjdT851p0ZPSv59gqpbe+yrXS6tQL5WWUa9KSv+5WV58o1Ra+uMuZc7l9rg2Z0opCxYsSPm9vb5nphXW1/JM5WX2ufrfpxXWV2OmRn3++0Xkujz2Vlj/90yL+1xhj83g52nG9Hcy/qWXc/Z3L1zqv1nNSdvWrXLD9cPSuXPnRnXP5WZaXt1MZjKTmZZXL8JMi4P3FWnW4UC5XM7Xvva1/Pa3v81DDz2UPn36NNq+6667pkWLFrn//vvz2c9+Nkkybty4vPrqq5Xf8Pfv3z/f+9738uabb6ZLly5JkhEjRqRdu3bZbrvtKmvuueeeRvseMWJEZR+1tbXZddddc//99+fAAw9MsuhtDvfff3+GDBmy1uYHgLVt7uxZqWrRIh878vhs0nuLpm5nmd5+4/U89PPrUldXt0Q4AAD895p1OHDCCSfkF7/4RX73u9+lbdu2lWsEtG/fPq1bt0779u0zePDgnHrqqdloo43Srl27fO1rX0v//v3z4Q9/OEmyzz77ZLvttsuRRx6Ziy++OJMmTcrZZ5+dE044ofIbkuOOOy5XX311zjjjjHzpS1/KAw88kNtuuy133313pZdTTz01gwYNSr9+/bLbbrvliiuuyKxZsyqfXgAA67NO3XqkW68+K14IALwvNetw4LrrrkuS7LXXXo3qN954Y4466qgkyeWXX56qqqp89rOfzbx58zJw4MBce+21lbXV1dW56667cvzxx6d///5p06ZNBg0alO985zuVNX369Mndd9+dU045JVdeeWV69uyZn/zkJ5WPMUySQw45JFOmTMnQoUMzadKk7LLLLhk+fPgSFykEAACA9U2zDgdW5lqJrVq1yjXXXJNrrrlmmWt69eq1xNsG3muvvfbK2LFjl7tmyJAh3kYAAADA+84yrgYFAAAAFIVwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAVX09QNAACsjPnz52XChAlN3cYKtWvXLp07d27qNgBglQgHAIBmb8a0qRn/0sv51vkXpGXLlk3dznK1bd0qN1w/TEAAwHpFOAAANHtzZ89KVYsW+diRx2eT3ls0dTvL9PYbr+ehn1+Xuro64QAA6xXhAACw3ujUrUe69erT1G0AwPuOCxICAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUXE1TNwAA8H4yf/68TJgwoanbWKF27dqlc+fOTd0GAM2EcAAAYA2ZMW1qxr/0cr51/gVp2bJlU7ezXG1bt8oN1w8TEACQRDgAALDGzJ09K1UtWuRjRx6fTXpv0dTtLNPbb7yeh35+Xerq6oQDACQRDgAArHGduvVIt159mroNAFhpLkgIAAAABSccAAAAgIITDgAAAEDBCQcAAACg4FyQENaRKVOmpK6urqnbWK4JEyZk4cKFTd0GAACwjgkHYB2YMmVKvnTscZkxZ25Tt7Jcc2bPysRJk7NgwfymbgUAAFiHhAOwDtTV1WXGnLnZ68jj06l7z6ZuZ5leeOKx3HHtD1JfX9/UrQAAAOuQcADWoU7dezbrz72eMvG1pm4BAABoAi5ICAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIKraeoGAABY9+bPn5cJEyY0dRsrpV27duncuXNTtwHwviYcAAAomBnTpmb8Sy/nW+dfkJYtWzZ1OyvUtnWr3HD9MAEBwFokHAAAKJi5s2elqkWLfOzI47NJ7y2aup3levuN1/PQz69LXV2dcABgLRIOAAAUVKduPdKtV5+mbgOAZsAFCQEAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBwwgEAAAAoOOEAAAAAFJxwAAAAAApOOAAAAAAFJxwAAACAghMOAAAAQMEJBwAAAKDghAMAAABQcMIBAAAAKDjhAAAAABSccAAAAAAKTjgAAAAABSccAAAAgIKraeoGAABgeebPn5cJEyY0dRsr1K5du3Tu3Lmp2wBYLcIBAACarRnTpmb8Sy/nW+dfkJYtWzZ1O8vVtnWr3HD9MAEBsF4SDgAA0GzNnT0rVS1a5GNHHp9Nem/R1O0s09tvvJ6Hfn5d6urqhAPAekk4AABAs9epW49069WnqdsAeN9yQUIAAAAoOGcOsF6bMmVK6urqmrqNFZowYUIWLlzY1G0AAGvR+nLhxPnz56e2trap21gpLvII645wgPXWlClT8qVjj8uMOXObupUVmjN7ViZOmpwFC+Y3dSsAwFqwvlw4cf78eXntlVfSa/MtUlPT/F8KuMgjrDvN/xkBlqGuri4z5szNXkcen07dezZ1O8v1whOP5Y5rf5D6+vqmbgUAWAvWlwsnvvDEY5lw7Q+y5+HHNus+Exd5hHVNOMB6r1P3ns3+AkVTJr7W1C0AAOtAc79w4uL/J2nufQLrngsSAgAAQME5cwAAAGiW1peLPLpwIu8HwgEAAKDZWV8u8pi4cCLvD8IBAACg2VlfLvLowom8XwgHAACAZsvFE2HdcEFCAAAAKDjhAAAAABSctxUAAAD8F3yqAu8HwgGWasqUKamrq2vqNpZrwoQJWbhwYVO3AQBAgflUBd4vhAMsYcqUKfnSscdlxpy5Td3Kcs2ZPSsTJ03OggXzm7oVAAAKan36VIX7fnpFnnrqqfTq1aup21kuZzg0DeHAKrrmmmtyySWXZNKkSdl5553zwx/+MLvttltTt7VG1dXVZcacudnryOPTqXvPpm5nmV544rHcce0PUl9f39StAABQcM39UxXWpzMcaqtK+e65Q9OpU6embmWF3k9BhnBgFdx666059dRTM2zYsOy+++654oorMnDgwIwbNy5dunRp6vbWuE7dezbrJ7gpE19r6hYAAGC9sL6c4fDquGfyf9//dk76xjebfYiRvL/eqiEcWAWXXXZZjjnmmBx99NFJkmHDhuXuu+/ODTfckDPPPLOJuwMAAFi+5n6Gw5SJr60XIUay6K0aD/38utTV1QkHimT+/PkZM2ZMzjrrrEqtqqoqAwYMyKhRo5Z6n3nz5mXevHmV29OnT0+STJ06tXIhvaqqqlRVVaWhoSENDQ2N9l1VVZX6+vqUy+UV1qurq1MqlZa4QF91dXWSLHHq/bLqNTU1iy5EWG7IxJfGZe7MupRTSkqlpFxOKf95zHVVL5X/83Wp1JNMeW18qquqMmn8i8nCBZX6u/eRJOVSVZP1vri+uNeJ419Mub5+mTMt0fs6nmnKa+OTcnlRnwsXrpHv09qYacpr49PQUJ83/v29X5NfgzU905uvLuU49fO02vV391leuHCdH3ur+jP/xr9/5pvi2Hu//Ty9+er4lMsNlWN0bfS4JmZ678/8cmdtwp+npf7M+3n6r2aa8tr4VJVKq/Vv6LqcafHP/MS1/DPv56n5/Twt7d/Q5vjztLjP+XNmZ86smU1y7K3sTPNmz8rChQtSV1eXqVOnVuqlUinV1dVLvMZbVn1tvyacNWvWohnKjWd6r1J5RStIkkycODGbbLJJRo4cmf79+1fqZ5xxRh5++OGMHj16ifuce+65Oe+889ZlmwAAALCE1157LT17Lvuacs4cWIvOOuusnHrqqZXbDQ0NmTp1ajp16pRSqdSEndFc1NXVZdNNN81rr72Wdu3aNXU7vI84tlhbHFusLY4t1hbHFmvL+nJslcvlzJgxIz169FjuOuHAStp4441TXV2dyZMnN6pPnjw53bp1W+p9WrZsucRFNDp06LC2WmQ91q5du2b9hML6y7HF2uLYYm1xbLG2OLZYW9aHY6t9+/YrXFO1Dvp4X6itrc2uu+6a+++/v1JraGjI/fff3+htBgAAALC+cebAKjj11FMzaNCg9OvXL7vttluuuOKKzJo1q/LpBQAAALA+Eg6sgkMOOSRTpkzJ0KFDM2nSpOyyyy4ZPnx4unbt2tStsZ5q2bJlzjnnnPXiM1xZvzi2WFscW6wtji3WFscWa8v77djyaQUAAABQcK45AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEA7CWnXvuuSmVSo3+bLvttpXtc+fOzQknnJBOnTplww03zGc/+9lMnjy5CTumuXrkkUfyqU99Kj169EipVMqdd97ZaHu5XM7QoUPTvXv3tG7dOgMGDMgLL7zQaM3UqVNzxBFHpF27dunQoUMGDx6cmTNnrsMpaI5WdGwdddRRSzyP7bvvvo3WOLZYmgsvvDAf+tCH0rZt23Tp0iUHHnhgxo0b12jNyvw7+Oqrr+aAAw7IBhtskC5duuT000/PwoUL1+UoNDMrc2zttddeSzx3HXfccY3WOLZ4r+uuuy477bRT2rVrl3bt2qV///659957K9vfz89ZwgFYB7bffvu88cYblT9/+ctfKttOOeWU/OEPf8jtt9+ehx9+OBMnTszBBx/chN3SXM2aNSs777xzrrnmmqVuv/jii3PVVVdl2LBhGT16dNq0aZOBAwdm7ty5lTVHHHFEnnnmmYwYMSJ33XVXHnnkkRx77LHragSaqRUdW0my7777Nnoe++Uvf9lou2OLpXn44Ydzwgkn5NFHH82IESOyYMGC7LPPPpk1a1ZlzYr+Hayvr88BBxyQ+fPnZ+TIkbn55ptz0003ZejQoU0xEs3EyhxbSXLMMcc0eu66+OKLK9scWyxNz5498/3vfz9jxozJ448/nk984hP5zGc+k2eeeSbJ+/w5qwysVeecc0555513Xuq2adOmlVu0aFG+/fbbK7V//vOf5STlUaNGraMOWR8lKf/2t7+t3G5oaCh369atfMkll1Rq06ZNK7ds2bL8y1/+slwul8vPPvtsOUn5scceq6y59957y6VSqfyvf/1rnfVO8/beY6tcLpcHDRpU/sxnPrPM+zi2WFlvvvlmOUn54YcfLpfLK/fv4D333FOuqqoqT5o0qbLmuuuuK7dr1648b968dTsAzdZ7j61yuVz+2Mc+Vj7ppJOWeR/HFiurY8eO5Z/85Cfv++csZw7AOvDCCy+kR48e2XzzzXPEEUfk1VdfTZKMGTMmCxYsyIABAyprt91222y22WYZNWpUU7XLemj8+PGZNGlSo2Opffv22X333SvH0qhRo9KhQ4f069evsmbAgAGpqqrK6NGj13nPrF8eeuihdOnSJdtss02OP/74vP3225Vtji1W1vTp05MkG220UZKV+3dw1KhR2XHHHdO1a9fKmoEDB6aurq7ymzx477G12C233JKNN944O+ywQ84666zMnj27ss2xxYrU19fnV7/6VWbNmpX+/fu/75+zapq6AXi/23333XPTTTdlm222yRtvvJHzzjsvH/nIR/L0009n0qRJqa2tTYcOHRrdp2vXrpk0aVLTNMx6afHx8u5/iBbfXrxt0qRJ6dKlS6PtNTU12WijjRxvLNe+++6bgw8+OH369MlLL72Ub37zm9lvv/0yatSoVFdXO7ZYKQ0NDTn55JOzxx57ZIcddkiSlfp3cNKkSUt9blu8DZZ2bCXJ4Ycfnl69eqVHjx558skn841vfCPjxo3Lb37zmySOLZbtqaeeSv/+/TN37txsuOGG+e1vf5vtttsuTzzxxPv6OUs4AGvZfvvtV/n7TjvtlN133z29evXKbbfdltatWzdhZwAr59BDD638fccdd8xOO+2ULbbYIg899FD23nvvJuyM9ckJJ5yQp59+utF1d2BNWNax9e7rnuy4447p3r179t5777z00kvZYost1nWbrEe22WabPPHEE5k+fXp+/etfZ9CgQXn44Yebuq21ztsKYB3r0KFDtt5667z44ovp1q1b5s+fn2nTpjVaM3ny5HTr1q1pGmS9tPh4ee/Vct99LHXr1i1vvvlmo+0LFy7M1KlTHW+sks033zwbb7xxXnzxxSSOLVZsyJAhueuuu/Lggw+mZ8+elfrK/DvYrVu3pT63Ld5GsS3r2Fqa3XffPUkaPXc5tlia2trabLnlltl1111z4YUXZuedd86VV175vn/OEg7AOjZz5sy89NJL6d69e3bddde0aNEi999/f2X7uHHj8uqrr6Z///5N2CXrmz59+qRbt26NjqW6urqMHj26ciz1798/06ZNy5gxYyprHnjggTQ0NFT+hwlWxuuvv56333473bt3T+LYYtnK5XKGDBmS3/72t3nggQfSp0+fRttX5t/B/v3756mnnmoUQI0YMSLt2rXLdtttt24GodlZ0bG1NE888USSNHrucmyxMhoaGjJv3rz3/3NWU18REd7vTjvttPJDDz1UHj9+fPmvf/1recCAAeWNN964/Oabb5bL5XL5uOOOK2+22WblBx54oPz444+X+/fvX+7fv38Td01zNGPGjPLYsWPLY8eOLScpX3bZZeWxY8eWJ0yYUC6Xy+Xvf//75Q4dOpR/97vflZ988snyZz7zmXKfPn3Kc+bMqexj3333LX/gAx8ojx49uvyXv/ylvNVWW5UPO+ywphqJZmJ5x9aMGTPKX//618ujRo0qjx8/vvynP/2p/MEPfrC81VZblefOnVvZh2OLpTn++OPL7du3Lz/00EPlN954o/Jn9uzZlTUr+ndw4cKF5R122KG8zz77lJ944ony8OHDy507dy6fddZZTTESzcSKjq0XX3yx/J3vfKf8+OOPl8ePH1/+3e9+V958883LH/3oRyv7cGyxNGeeeWb54YcfLo8fP7785JNPls8888xyqVQq33fffeVy+f39nCUcgLXskEMOKXfv3r1cW1tb3mSTTcqHHHJI+cUXX6xsnzNnTvmrX/1quWPHjuUNNtigfNBBB5XfeOONJuyY5urBBx8sJ1niz6BBg8rl8qKPM/z2t79d7tq1a7lly5blvffeuzxu3LhG+3j77bfLhx12WHnDDTcst2vXrnz00UeXZ8yY0QTT0Jws79iaPXt2eZ999il37ty53KJFi3KvXr3KxxxzTKOPaCqXHVss3dKOqyTlG2+8sbJmZf4dfOWVV8r77bdfuXXr1uWNN964fNppp5UXLFiwjqehOVnRsfXqq6+WP/rRj5Y32mijcsuWLctbbrll+fTTTy9Pnz690X4cW7zXl770pXKvXr3KtbW15c6dO5f33nvvSjBQLr+/n7NK5XK5vO7OUwAAAACaG9ccAAAAgIITDgAAAEDBCQcAAACg4IQDAAAAUHDCAQAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAA1mvjxo1Lt27dMmPGjKZuJW+99Va6dOmS119/valbAYBVIhwAgIIplUrL/XPuuec2dYur5KyzzsrXvva1tG3btlKrr6/P5Zdfnh133DGtWrVKx44ds99+++Wvf/1ro/vedNNNlbmrqqrSs2fPHH300XnzzTcraxZvf/TRRxvdd968eenUqVNKpVIeeuihJMnGG2+cL37xiznnnHPW3sAAsBYIBwCgYN54443KnyuuuCLt2rVrVPv617/e1C2utFdffTV33XVXjjrqqEqtXC7n0EMPzXe+852cdNJJ+ec//5mHHnoom266afbaa6/ceeedjfaxeP7XX389P/7xj3PvvffmyCOPbLRm0003zY033tio9tvf/jYbbrjhEj0dffTRueWWWzJ16tQ1NicArG3CAQAomG7dulX+tG/fPqVSqVHtV7/6Vfr27ZtWrVpl2223zbXXXlu57yuvvJJSqZTbbrstH/nIR9K6det86EMfyvPPP5/HHnss/fr1y4Ybbpj99tsvU6ZMqdzvqKOOyoEHHpjzzjsvnTt3Trt27XLcccdl/vz5lTXz5s3LiSeemC5duqRVq1bZc88989hjjy13lttuuy0777xzNtlkk0a1X//61/nZz36WL3/5y+nTp0923nnnXH/99fn0pz+dL3/5y5k1a1Zl/eL5e/Tokf322y8nnnhi/vSnP2XOnDmVNYMGDcqvfvWrRrUbbrghgwYNWqKn7bffPj169Mhvf/vblfyOAEDTEw4AABW33HJLhg4dmu9973v55z//mQsuuCDf/va3c/PNNzdad8455+Tss8/O3//+99TU1OTwww/PGWeckSuvvDJ//vOf8+KLL2bo0KGN7nP//fdXfov/y1/+Mr/5zW9y3nnnVbafccYZueOOO3LzzTfn73//e7bccssMHDhwub+B//Of/5x+/fo1qv3iF7/I1ltvnU996lNLrD/ttNPy9ttvZ8SIEcvcZ+vWrdPQ0JCFCxdWarvuumt69+6dO+64I8miMxYeeeSRJc4wWGy33XbLn//852U+BgA0N8IBAKDinHPOyaWXXpqDDz44ffr0ycEHH5xTTjklP/rRjxqt+/rXv56BAwemb9++OemkkzJmzJh8+9vfzh577JEPfOADGTx4cB588MFG96mtrc0NN9yQ7bffPgcccEC+853v5KqrrkpDQ0NmzZqV6667Lpdcckn222+/bLfddvnxj3+c1q1b56c//eky+50wYUJ69OjRqPb888+nb9++S12/uP78888vdfsLL7yQYcOGpV+/fo2uYZAkX/rSl3LDDTckWXStgv333z+dO3de6n569OiRCRMmLLNvAGhuapq6AQCgeZg1a1ZeeumlDB48OMccc0ylvnDhwrRv377R2p122qny965duyZJdtxxx0a1d1/UL0l23nnnbLDBBpXb/fv3z8yZM/Paa69l+vTpWbBgQfbYY4/K9hYtWmS33XbLP//5z2X2PGfOnLRq1WqJerlcXu6stbW1lb9Pnz49G264YRoaGjJ37tzsueee+clPfrLEfb7whS/kzDPPzMsvv5ybbropV1111TL337p168yePXu5PQBAcyIcAACSJDNnzkyS/PjHP87uu+/eaFt1dXWj2y1atKj8vVQqLbXW0NCwtlqt2HjjjfPOO+80qm211VbLDBQW17feeutKrW3btvn73/+eqqqqdO/ePa1bt17qfTt16pT//d//zeDBgzN37tzst99+y/z4xKlTpy7zrAIAaI68rQAASLLot/09evTIyy+/nC233LLRnz59+vzX+//HP/7R6IJ+jz76aDbccMNsuumm2WKLLVJbW9voowYXLFiQxx57LNttt90y9/mBD3wgzz77bKPaYYcdlhdeeCF/+MMfllh/6aWXpkePHvnkJz9ZqVVVVWXLLbfM5ptvvsxgYLEvfelLeeihh/LFL35xicDk3Z5++ul84AMfWO6+AKA5ceYAAFBx3nnn5cQTT0z79u2z7777Zt68eXn88cfzzjvv5NRTT/2v9j1//vwMHjw4Z599dl555ZWcc845GTJkSKqqqtKmTZscf/zxOf3007PRRhtls802y8UXX5zZs2dn8ODBy9znwIED8+Uvfzn19fWVF+uHHnpobrvttgwaNCiXXHJJ9t5779TV1eWaa67JXXfdleHDhzc6y2FV7LvvvpkyZUratWu3zDWzZ8/OmDFjcsEFF6zWYwBAUxAOAAAVX/7yl7PBBhvkkksuyemnn542bdpkxx13zMknn/xf73vvvffOVlttlY9+9KOZN29eDjvssJx77rmV7d///vfT0NCQI488MjNmzEi/fv3yxz/+MR07dlzmPvfbb7/U1NTkT3/6UwYOHJhk0Vsabr/99lxxxRW5/PLL89WvfjXz58/PRhttlLFjxy73TIQVKZVK2XjjjZe75ne/+10222yzfOQjH1ntxwGAda1UXtEVewAA/ktHHXVUpk2bljvvvHON7/uaa67J73//+/zxj39c5pq///3vGTBgQAYPHpxLLrlkjffwbh/+8Idz4okn5vDDD1+rjwMAa5JrDgAA67WvfOUr+ehHP7rMiwMmyQc/+MHcf//9adOmTV566aW11stbb72Vgw8+OIcddthaewwAWBucOQAArHVr88wBAOC/JxwAAACAgvO2AgAAACg44QAAAAAUnHAAAAAACk44AAAAAAUnHAAAAICCEw4AAABAwQkHAAAAoOCEAwAAAFBw/x+7kR+DuquFrwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "filtered_score_df = score_df[(score_df['global_tempo'] >= 20) & (score_df['global_tempo'] <= 300)]\n",
    "\n",
    "plot_histogram(filtered_score_df, 'global_tempo', bins=20, \n",
    "               title=\"Tempo Distribution\", xlabel=\"Tempo (QPM)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a5070045-bc87-4160-aa17-c719d761fd47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_signature_counts = score_df['time_signature'].value_counts()\n",
    "\n",
    "valid_time_signatures = time_signature_counts[time_signature_counts >= 128].index\n",
    "\n",
    "filtered_score_df = score_df[score_df['time_signature'].isin(valid_time_signatures)]\n",
    "\n",
    "plot_histogram(filtered_score_df, 'time_signature', \n",
    "               title=\"Time Signature Distribution\", xlabel=\"Time Signature\", is_categorical=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "58dfe35a-6338-440e-95d1-dbf8ffd18c7c",
   "metadata": {},
   "outputs": [],
   "source": [
    "track_features_csv = \"track_features.csv\"\n",
    "track_df = pd.read_csv(track_features_csv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3e38d1ca-3004-42bc-97d8-dde7aba202fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x2580 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "program_counts = track_df['program'].value_counts()\n",
    "\n",
    "program_counts = program_counts.sort_index()\n",
    "\n",
    "plt.figure(figsize=(12, len(program_counts) * 0.2))\n",
    "plt.barh(program_counts.index, program_counts.values, color=\"gray\", alpha=0.7)\n",
    "\n",
    "plt.title(\"General MIDI Instrument Distribution\", fontsize=14)\n",
    "plt.xlabel(\"Frequency\", fontsize=12)\n",
    "plt.ylabel(\"General MIDI Instrument (Program)\", fontsize=12)\n",
    "\n",
    "plt.grid(axis=\"x\", linestyle=\"--\", alpha=0.5)\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0015dbd0-7352-476a-8715-f60ea4d6944b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "filtered_track_df = track_df[(track_df['num_notes'] >= 16) & (track_df['num_notes'] <= 4096)]\n",
    "\n",
    "plot_histogram(filtered_track_df, 'num_notes', bins=100, \n",
    "               title=\"Note Count Distribution\", xlabel=\"Number of Notes\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "93acdfe0-e17f-4385-b202-c93581ded2ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "filtered_track_df = track_df[(track_df['end_time'] >= 8) & (track_df['end_time'] <= 2048)]\n",
    "\n",
    "plot_histogram(filtered_track_df, 'end_time', bins=100, \n",
    "               title=\"End Time Distribution\", xlabel=\"End Time (Quarter Notes)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d3e61c84-c804-41c3-925d-30e1b9c2f4ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_histogram(track_df, 'polyphony_rate', bins=100, \n",
    "               title=\"Polyphony Rate Distribution\", xlabel=\"Polyphony Rate\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "76c7304e-f164-41dd-9d3f-b7b123ecb992",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.20"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}