{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c5107489",
   "metadata": {},
   "source": [
    "# Deb’s Feasibility Rule Ranking Distribution (`distr_Deb`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3d12250a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "\n",
    "from pyxla import distr_Deb, distr_Par, distr_f, distr_v \n",
    "from pyxla.util import load_data, load_sample\n",
    "from pyxla.sampling import HilbertCurveSampler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e4168f6c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:The Hilbert curve with dimension 1 is just a number line. You are sampling around points on a number line.\n",
      "WARNING:root:The Hilbert curve with dimension 1 is just a number line. You are sampling around points on a number line.\n"
     ]
    }
   ],
   "source": [
    "sphere_sample = {\n",
    "    \"name\": \"Sphere\",\n",
    "    \"X\": HilbertCurveSampler(sample_size=100, dim=1, l_bound=-5, u_bound=5, seed=42),\n",
    "    \"F\": lambda x: x**2,\n",
    "    \"V\": [lambda x: x**2 - 2, lambda x: 8 * math.sin(20 * x)]\n",
    "}\n",
    "\n",
    "deceptive_sample = {\n",
    "    \"name\": \"Deceptive\",\n",
    "    \"X\": HilbertCurveSampler(sample_size=100, dim=1, l_bound=0, u_bound=6),\n",
    "    \"F\": lambda x: (0.4 * x - 2) ** 2 if x > 0.625 else (10 * x - 4) ** 2 - 2,\n",
    "    \"V\": lambda x: ((0.4 * x - 2) ** 2 if x > 0.625 else (10 * x - 4) ** 2 - 2) - 1\n",
    "}\n",
    "\n",
    "load_data(sphere_sample)\n",
    "load_data(deceptive_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f9f466fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({'Deb_min': 1,\n",
       "  'Deb_max': 100,\n",
       "  'Deb_mean': 50.5,\n",
       "  'Deb_med': 50.5,\n",
       "  'Deb_q1': 25.25,\n",
       "  'Deb_q3': 75.75,\n",
       "  'Deb_sd': 29.011491975882016,\n",
       "  'Deb_skew': 0.0,\n",
       "  'Deb_kurt': -1.2002400240024003},\n",
       " <Axes: title={'center': \"Deb's feasibility rule ranking distribution Sphere\"}, xlabel='Deb', ylabel='Count'>)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "distr_Deb(sphere_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a7587e33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({'f0_min': 0.001489075887394326,\n",
       "  'f0_max': 25.0,\n",
       "  'f0_mean': 8.306602377756104,\n",
       "  'f0_med': 5.810982892827974,\n",
       "  'f0_q1': 1.4835743521448939,\n",
       "  'f0_q3': 13.953228429920058,\n",
       "  'f0_sd': 7.631777799225109,\n",
       "  'f0_skew': 0.6779687948562939,\n",
       "  'f0_kurt': -0.79031951272523,\n",
       "  'f0_rank_min': 1,\n",
       "  'f0_rank_max': 99,\n",
       "  'f0_rank_mean': 49.51,\n",
       "  'f0_rank_med': 49.5,\n",
       "  'f0_rank_q1': 24.25,\n",
       "  'f0_rank_q3': 74.75,\n",
       "  'f0_rank_sd': 28.99442475143569,\n",
       "  'f0_rank_skew': 0.0019601813945263774,\n",
       "  'f0_rank_kurt': -1.2027967085759266},\n",
       " <Figure size 300x600 with 2 Axes>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "distr_f(sphere_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5fe8a39a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({'paretoV_min': 1,\n",
       "  'paretoV_max': 40,\n",
       "  'paretoV_mean': 16.5,\n",
       "  'paretoV_med': 14.0,\n",
       "  'paretoV_q1': 6.0,\n",
       "  'paretoV_q3': 26.75,\n",
       "  'paretoV_sd': 12.132683965307107,\n",
       "  'paretoV_skew': 0.36083900012368475,\n",
       "  'paretoV_kurt': -1.092331393135496,\n",
       "  'paretoFV_min': 1,\n",
       "  'paretoFV_max': 54,\n",
       "  'paretoFV_mean': 27.33,\n",
       "  'paretoFV_med': 26.5,\n",
       "  'paretoFV_q1': 14.0,\n",
       "  'paretoFV_q3': 40.75,\n",
       "  'paretoFV_sd': 15.446914634229442,\n",
       "  'paretoFV_skew': 0.04168327649182093,\n",
       "  'paretoFV_kurt': -1.1827672534307703},\n",
       " <Figure size 600x300 with 2 Axes>)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "distr_Par(sphere_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ed3ef4d2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({'Deb_min': 1,\n",
       "  'Deb_max': 100,\n",
       "  'Deb_mean': 50.5,\n",
       "  'Deb_med': 50.5,\n",
       "  'Deb_q1': 25.25,\n",
       "  'Deb_q3': 75.75,\n",
       "  'Deb_sd': 29.011491975882016,\n",
       "  'Deb_skew': 0.0,\n",
       "  'Deb_kurt': -1.2002400240024003},\n",
       " <Axes: title={'center': \"Deb's feasibility rule ranking distribution Deceptive\"}, xlabel='Deb', ylabel='Count'>)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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V3Lp163Q1r1ixQvfdd5/8/PxUunRpx5BqUlKSY57u3burSZMmeuqppxQSEqIePXpo4cKFOQo1np6eqly5slPbnXfeKUkF+r0e3bt3l81m07x58yRJSUlJWrFihXr16pWj73/w9vbO0emNnMrLvpSRyMjIDNvnzJmju+++W35+fgoODlbZsmX1xRdfOG3HNBUrVnR6nhYcbj1Hf/XqVbVv315169bVwoULc3Vhb3avcfz4cUlSlSpVnObz9vbO9BqTmx0/flyenp6Kiopyar/rrruyXbZ58+Z65JFHNG7cOJUpU0adO3fWrFmzMrwuIzO53T9uPS5If30OCvq7bdL66dZ+Dg0NVVBQkGM7pLl1u0l/bbv8uH4j7bqqtOProUOH9NNPP6X7PKQdH9I+D0eOHJGnp6dq1KiR6boPHTok6a9rHW9d31dffZXus1UQx6Xu3bvr22+/dfxBsn79eiUmJqp79+5OdSYlJalcuXLp6rx48WKOjgHuhmtk3Myvv/6qpKQkx4c+7R/qF154QTExMRkuc+sBIi+qV6+uAwcOaMWKFVq1apX+97//6YMPPtDo0aMdt//lht1u14MPPqiXXnopw+lpH9hvvvlGnTp10v33368PPvhA5cuXl4+Pj2bNmuV0obG/v782btyodevW6YsvvtCqVav06aefqmXLlvrqq68K/I6QvChVqpQ6dOigefPmafTo0Vq8eLFSUlLS3VGRGZvNlu6vP0mZhqDU1NQs+yG/9qWMrk2ZO3eu+vbtqy5duujFF19UuXLl5OXlpbi4OKcRqTSZ1WluuQDbZrPpoYce0rJly7Rq1Sp16NAh2/py+xqu4OHhocWLF2vLli36/PPPtXr1aj355JN6++23tWXLlhx9EWBm+8ft1pVR/6SmpubLunOiILfb3r175eXl5QjjdrtdtWvX1qRJkzKcPzw8PMfrTvt8ffLJJ07XqKQpjDuMunfvrpEjR2rRokUaNmyYFi5cqMDAQKfv9rLb7SpXrpzjD6xb3TraagUEGTfzySefSJLjH5q0xO7j4+MYzcjOoUOHnK5ev3jxon777bdsbzksXry4unfvru7du+vatWvq2rWrJk6cqJEjR+b6tuaoqChdvHgx25r/97//yc/PT6tXr3Y6ZTBr1qx083p6eqpVq1Zq1aqVJk2apNdee02vvvqq1q1bl+Xr2O12/fLLL47wJEkHDx6UpBz95Z2V7A7Offr0UefOnbV9+3bNmzdPdevWva0LFqW/AtL58+fTtR8/fjzdX3g3y8u+lFOLFy9W5cqVtWTJEqc+SRvpySsPDw/NmzdPnTt31mOPPaaVK1fm27f4RkRESPprpOrmz8uNGzd07NixbL/LKSIiQna7XUeOHHEahTlw4ECOa7jvvvt03333aeLEiZo/f7569eqlBQsW6Kmnnsr3b21NGzG42cGDB50+A6VKlcrwFM6toya5qS2tnw4dOqTq1as72s+cOaPz5887tkNBO3HihDZs2KBGjRo5RmSioqK0Z88etWrVKsv3FBUVJbvdrp9//jnT74tKG5krV65cjj5fOTku5XYfiIyMVIMGDRw3GSxZskRdunRxOrZGRUXp66+/VpMmTSzzFR/Z4dSSG4mPj9eECRMUGRnpuJWyXLlyatGihT788EP99ttv6ZbJ6PbeGTNmOJ13nzZtmm7cuKF27dpl+tp//PGH03NfX1/VqFFDxpg8ncPv1q2bNm/erNWrV6ebdv78ed24cUPSX399eXh4OP3Fd+zYMae7BaS/ru+4VdoBJSfD8VOmTHH8vzFGU6ZMkY+Pj1q1apWTt5OptO91yShYSH99X1CZMmX0xhtvaMOGDTkejclKVFSUtmzZomvXrjnaVqxYoZMnT2a5XF72pZxK+yv65r+at27dqs2bN+d5nWl8fX21ZMkS1a9fXx07dtS2bdtue52SFB0dreDgYM2cOdOxP0p/XceUk9MYaZ+n9957z6k9Jz/R8eeff6YbYbh1f067CymzfSu3li5d6nQN1LZt27R161an40JUVJT279/vtC/s2bMn3Wnm3NSW9gfUrf2SNgqSk7u8bte5c+fUs2dPpaam6tVXX3W0d+vWTadOndLMmTPTLXPlyhVdunRJ0l/XF3l6emr8+PHpTmenbceYmBgFBATotddey/CYmdHnK7vjUl72ge7du2vLli366KOPdPbsWafTSmnvOTU1VRMmTEi37I0bN/JtfytMjMi4yMqVK7V//37duHFDZ86cUXx8vNasWaOIiAgtX77caQRk6tSpatq0qWrXrq3+/furcuXKOnPmjDZv3qxff/1Ve/bscVr3tWvX1KpVK3Xr1k0HDhzQBx98oKZNm6pTp06Z1tOmTRuFhoaqSZMmCgkJ0b59+zRlyhS1b9/e8ddLbrz44otavny5OnTo4Lh18tKlS/rxxx+1ePFiHTt2TGXKlFH79u01adIktW3bVo8//rgSExM1depUValSRT/88INjfePHj9fGjRvVvn17RUREKDExUR988IHuuOMONW3aNMta/Pz8tGrVKsXGxqphw4ZauXKlvvjiC73yyiu3PYwaFRWloKAgTZ8+XSVLllTx4sXVsGFDx9C1j4+PevTooSlTpsjLy0s9e/a8rdeT/rqVdfHixWrbtq26deumI0eOaO7cuemu1chIbvelnOrQoYOWLFmihx9+WO3bt9fRo0c1ffp01ahRw3Fdwu3w9/fXihUr1LJlS7Vr104bNmxQrVq1bmudvr6+Gjt2rJ599lm1bNlS3bp107FjxzR79mxFRUVl+9dwnTp11LNnT33wwQdKSkpS48aNtXbt2gy/q+ZWad80+/DDDysqKkoXLlzQzJkzFRAQ4PiH39/fXzVq1NCnn36qO++8U6VLl1atWrXy/L6rVKmipk2b6umnn1ZKSoomT56s4OBgp9O/Tz75pCZNmqSYmBj94x//UGJioqZPn66aNWsqOTnZMV9uarvnnnsUGxurGTNm6Pz582revLm2bdumOXPmqEuXLhl+98ntOHjwoObOnStjjJKTk7Vnzx4tWrRIFy9edBxr0vTu3VsLFy7UP//5T61bt05NmjRRamqq9u/fr4ULF2r16tWKjo5WlSpV9Oqrr2rChAlq1qyZunbtKpvNpu3btyssLExxcXEKCAjQtGnT1Lt3b917773q0aOHypYtqxMnTuiLL75QkyZNnIJLTo5LedkHunXrphdeeEEvvPCCSpcunW50qHnz5ho4cKDi4uK0e/dutWnTRj4+Pjp06JAWLVqkd9991+k7ZyzBJfdK/Y2l3YaZ9vD19TWhoaHmwQcfNO+++65JTk7OcLkjR46YPn36mNDQUOPj42MqVKhgOnToYBYvXpxu3Rs2bDADBgwwpUqVMiVKlDC9evUyf/zxR5Z1ffjhh+b+++83wcHBxmazmaioKPPiiy+apKSkbN+TMrnl8cKFC2bkyJGmSpUqxtfX15QpU8Y0btzYvPXWW063h//nP/8xVatWNTabzVSrVs3MmjUr3a2Fa9euNZ07dzZhYWHG19fXhIWFmZ49ezrd3p3Z7dfFixc3R44cMW3atDHFihUzISEhZsyYMeluo1Qebr825q9bh2vUqGG8vb0zvBV727ZtRpJp06ZNtn15a92Zefvtt02FChWMzWYzTZo0MTt27MjR7dfG5Gxfykja+v7973+nm2a3281rr71mIiIijM1mM3Xr1jUrVqzI9FbgjNZxa/9n1Adnz541NWrUMKGhoebQoUPGmMxvv160aFGG9d/aH++9956j7gYNGphvv/3W1KtXz7Rt2zbL/jDGmCtXrpghQ4aY4OBgU7x4cdOxY0dz8uTJbPelXbt2mZ49e5qKFSsam81mypUrZzp06GB27NjhtP7vvvvO1KtXz/j6+jqtM6v9I6s+f/vtt014eLix2WymWbNmjtuQbzZ37lxTuXJl4+vra+rUqWNWr16dbp1Z1XbrZ9cYY65fv27GjRtnIiMjjY+PjwkPDzcjR45Mdyt9RESEad++fbqaMrst/FY3H1s9PT1NUFCQqVu3rhk6dKj56aefMlzm2rVr5o033jA1a9Y0NpvNlCpVytSrV8+MGzcu3fHvo48+MnXr1nXM17x5c7NmzRqnedatW2diYmJMYGCg8fPzM1FRUaZv375O2zY3x6Xc9HOaJk2aZHjL+81mzJhh6tWrZ/z9/U3JkiVN7dq1zUsvvWROnz6d6TLuysMYN7jyDSjC9uzZozp16ujjjz9W7969XV0OsmG321W2bFl17do1w1MOwO3q27evFi9enC+jleAaGaDAzZw5UyVKlHB8Myfcx9WrV9Ndq/Lxxx/r3Llz+XZRMYCCxTUyQAH5/PPP9fPPP2vGjBkaPHiw2/3gI6QtW7Zo+PDheuyxxxQcHKxdu3bpP//5j2rVqqXHHnvM1eUByAGCDFBAnn32WZ05c0YPPfRQnr6LBwWvUqVKCg8P13vvvadz586pdOnS6tOnj15//XVL/Ko2AIlrZAAAgGVxjQwAALAsggwAALCsIn+NjN1u1+nTp1WyZMl8/8pvAABQMIwxunDhgsLCwrL8XbEiH2ROnz6dqx/+AgAA7uPkyZNZ/tJ7kQ8yaV+vf/LkSQUEBLi4GgAAkBPJyckKDw/P9mdyinyQSTudFBAQQJABAMBisrsshIt9AQCAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZRFkAACAZXm7ugArO3HihM6ePevqMgpUmTJlVLFiRVeXUWDYhnB37KPWV9S3oau3H0Emj06cOKFq1avryuXLri6lQPkXK6b9+/YVyYMM2xDujn3U+v4O29DV248gk0dnz57VlcuXFf1/b6lkZBVXl1MgLhw9rB3/ekFnz54tkgcYtiHcHfuo9RX1begO248gc5tKRlZRUPWari4Dt4FtCHfHPmp9bMOCw8W+AADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAslwaZDZu3KiOHTsqLCxMHh4eWrp0qWPa9evX9fLLL6t27doqXry4wsLC1KdPH50+fdp1BQMAALfi0iBz6dIl3XPPPZo6dWq6aZcvX9auXbs0atQo7dq1S0uWLNGBAwfUqVMnF1QKAADckbcrX7xdu3Zq165dhtMCAwO1Zs0ap7YpU6aoQYMGOnHihCpWrFgYJQIAADfm0iCTW0lJSfLw8FBQUFCm86SkpCglJcXxPDk5uRAqK9r27dvn6hIKRFF9Xxkpyu81JSVFNpvN1WUUiKK83W5VVN9rUX1f7sQyQebq1at6+eWX1bNnTwUEBGQ6X1xcnMaNG1eIlRVdV8/+Lnl46IknnnB1KQXq2rWU7GeyqL/FNvTwlIzd1VUUKPZR6yvK29DVLBFkrl+/rm7duskYo2nTpmU578iRI/Xcc885nicnJys8PLygSyySrl9IloxRrX/9n8pWr+XqcvJdwrfrte+Dybpx44arSykwf5dtWNTfH/uodf0dtqGruX2QSQsxx48fV3x8fJajMZJks9mK7DCzqxSPiFRQ9ZquLiPfXTh6xNUlFJqivg2L+vv7O2AbIq/cOsikhZhDhw5p3bp1Cg4OdnVJAADAjbg0yFy8eFGHDx92PD969Kh2796t0qVLq3z58nr00Ue1a9curVixQqmpqUpISJAklS5dWr6+vq4qGwAAuAmXBpkdO3bogQcecDxPu7YlNjZWY8eO1fLlyyVJderUcVpu3bp1atGiRWGVCQAA3JRLg0yLFi1kjMl0elbTAAAA+K0lAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWS4NMhs3blTHjh0VFhYmDw8PLV261Gm6MUajR49W+fLl5e/vr9atW+vQoUOuKRYAALgdlwaZS5cu6Z577tHUqVMznP7mm2/qvffe0/Tp07V161YVL15cMTExunr1aiFXCgAA3JG3K1+8Xbt2ateuXYbTjDGaPHmy/vWvf6lz586SpI8//lghISFaunSpevToUZilAgAAN+S218gcPXpUCQkJat26taMtMDBQDRs21ObNmzNdLiUlRcnJyU4PAABQNLltkElISJAkhYSEOLWHhIQ4pmUkLi5OgYGBjkd4eHiB1gkAAFzHbYNMXo0cOVJJSUmOx8mTJ11dEgAAKCBuG2RCQ0MlSWfOnHFqP3PmjGNaRmw2mwICApweAACgaHLbIBMZGanQ0FCtXbvW0ZacnKytW7eqUaNGLqwMAAC4C5fetXTx4kUdPnzY8fzo0aPavXu3SpcurYoVK2rYsGH6v//7P1WtWlWRkZEaNWqUwsLC1KVLF9cVDQAA3IZLg8yOHTv0wAMPOJ4/99xzkqTY2FjNnj1bL730ki5duqQBAwbo/Pnzatq0qVatWiU/Pz9XlQwAANyIS4NMixYtZIzJdLqHh4fGjx+v8ePHF2JVAADAKtz2GhkAAIDsEGQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBluXWQSU1N1ahRoxQZGSl/f39FRUVpwoQJMsa4ujQAAOAGvF1dQFbeeOMNTZs2TXPmzFHNmjW1Y8cO9evXT4GBgRoyZIirywMAAC7m1kHmu+++U+fOndW+fXtJUqVKlfTf//5X27Ztc3FlAADAHbj1qaXGjRtr7dq1OnjwoCRpz5492rRpk9q1a5fpMikpKUpOTnZ6AACAosmtR2RGjBih5ORkVatWTV5eXkpNTdXEiRPVq1evTJeJi4vTuHHjCrFKAADgKm49IrNw4ULNmzdP8+fP165duzRnzhy99dZbmjNnTqbLjBw5UklJSY7HyZMnC7FiAABQmNx6RObFF1/UiBEj1KNHD0lS7dq1dfz4ccXFxSk2NjbDZWw2m2w2W2GWCQAAXMStR2QuX74sT0/nEr28vGS3211UEQAAcCduPSLTsWNHTZw4URUrVlTNmjX1/fffa9KkSXryySddXRoAAHADbh1k3n//fY0aNUrPPPOMEhMTFRYWpoEDB2r06NGuLg0AALgBtw4yJUuW1OTJkzV58mRXlwIAANyQW18jAwAAkBWCDAAAsCyCDAAAsCyCDAAAsCyCDAAAsCyCDAAAsCyCDAAAsKw8BZnKlSvrjz/+SNd+/vx5Va5c+baLAgAAyIk8BZljx44pNTU1XXtKSopOnTp120UBAADkRK6+2Xf58uWO/1+9erUCAwMdz1NTU7V27VpVqlQp34oDAADISq6CTJcuXSRJHh4eio2NdZrm4+OjSpUq6e2338634gAAALKSqyBjt9slSZGRkdq+fbvKlClTIEUBAADkRJ5+NPLo0aP5XQcAAECu5fnXr9euXau1a9cqMTHRMVKT5qOPPrrtwgAAALKTpyAzbtw4jR8/XtHR0Spfvrw8PDzyuy4AAIBs5SnITJ8+XbNnz1bv3r3zux4AAIAcy9P3yFy7dk2NGzfO71oAAAByJU9B5qmnntL8+fPzuxYAAIBcydOppatXr2rGjBn6+uuvdffdd8vHx8dp+qRJk/KlOAAAgKzkKcj88MMPqlOnjiRp7969TtO48BcAABSWPAWZdevW5XcdAAAAuZana2QAAADcQZ5GZB544IEsTyHFx8fnuSAAAICcylOQSbs+Js3169e1e/du7d27N92PSQIAABSUPAWZd955J8P2sWPH6uLFi7dVEAAAQE7l6zUyTzzxBL+zBAAACk2+BpnNmzfLz88vP1cJAACQqTydWuratavTc2OMfvvtN+3YsUOjRo3Kl8IAAACyk6cgExgY6PTc09NTd911l8aPH682bdrkS2EAAADZyVOQmTVrVn7XAQAAkGt5CjJpdu7cqX379kmSatasqbp16+ZLUQAAADmRpyCTmJioHj16aP369QoKCpIknT9/Xg888IAWLFigsmXL5meNAAAAGcrTXUvPPvusLly4oJ9++knnzp3TuXPntHfvXiUnJ2vIkCH5XSMAAECG8jQis2rVKn399deqXr26o61GjRqaOnUqF/sCAIBCk6cRGbvdLh8fn3TtPj4+stvtt10UAABATuQpyLRs2VJDhw7V6dOnHW2nTp3S8OHD1apVq3wrDgAAICt5CjJTpkxRcnKyKlWqpKioKEVFRSkyMlLJycl6//3387tGAACADOXpGpnw8HDt2rVLX3/9tfbv3y9Jql69ulq3bp2vxQEAAGQlVyMy8fHxqlGjhpKTk+Xh4aEHH3xQzz77rJ599lnVr19fNWvW1DfffFNQtQIAADjJVZCZPHmy+vfvr4CAgHTTAgMDNXDgQE2aNCnfigMAAMhKroLMnj171LZt20ynt2nTRjt37rztogAAAHIiV0HmzJkzGd52ncbb21u///77bRcFAACQE7kKMhUqVNDevXsznf7DDz+ofPnyt10UAABATuQqyDz00EMaNWqUrl69mm7alStXNGbMGHXo0CHfipP++n6aJ554QsHBwfL391ft2rW1Y8eOfH0NAABgTbm6/fpf//qXlixZojvvvFODBw/WXXfdJUnav3+/pk6dqtTUVL366qv5Vtyff/6pJk2a6IEHHtDKlStVtmxZHTp0SKVKlcq31wAAANaVqyATEhKi7777Tk8//bRGjhwpY4wkycPDQzExMZo6dapCQkLyrbg33nhD4eHhmjVrlqMtMjIy39YPAACsLddfiBcREaEvv/xSf/75pw4fPixjjKpWrVogoyTLly9XTEyMHnvsMW3YsEEVKlTQM888o/79+2e6TEpKilJSUhzPk5OT870uAADgHvL0EwWSVKpUKdWvX18NGjQosFM9v/zyi6ZNm6aqVatq9erVevrppzVkyBDNmTMn02Xi4uIUGBjoeISHhxdIbQAAwPXyHGQKg91u17333qvXXntNdevW1YABA9S/f39Nnz4902VGjhyppKQkx+PkyZOFWDEAAChMbh1kypcvrxo1aji1Va9eXSdOnMh0GZvNpoCAAKcHAAAomtw6yDRp0kQHDhxwajt48KAiIiJcVBEAAHAnbh1khg8fri1btui1117T4cOHNX/+fM2YMUODBg1ydWkAAMANuHWQqV+/vj777DP997//Va1atTRhwgRNnjxZvXr1cnVpAADADeT69uvC1qFDh3z/tmAAAFA0uPWIDAAAQFYIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIsFWRef/11eXh4aNiwYa4uBQAAuAHLBJnt27frww8/1N133+3qUgAAgJuwRJC5ePGievXqpZkzZ6pUqVKuLgcAALgJSwSZQYMGqX379mrdunW286akpCg5OdnpAQAAiiZvVxeQnQULFmjXrl3avn17juaPi4vTuHHjCrgqAADgDtx6RObkyZMaOnSo5s2bJz8/vxwtM3LkSCUlJTkeJ0+eLOAqAQCAq7j1iMzOnTuVmJioe++919GWmpqqjRs3asqUKUpJSZGXl5fTMjabTTabrbBLBQAALuDWQaZVq1b68ccfndr69eunatWq6eWXX04XYgAAwN+LWweZkiVLqlatWk5txYsXV3BwcLp2AADw9+PW18gAAABkxa1HZDKyfv16V5cAAADcBCMyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAstw6yMTFxal+/foqWbKkypUrpy5duujAgQOuLgsAALgJtw4yGzZs0KBBg7RlyxatWbNG169fV5s2bXTp0iVXlwYAANyAt6sLyMqqVaucns+ePVvlypXTzp07df/997uoKgAA4C7cekTmVklJSZKk0qVLu7gSAADgDtx6ROZmdrtdw4YNU5MmTVSrVq1M50tJSVFKSorjeXJycmGUBwAAXMAyIzKDBg3S3r17tWDBgizni4uLU2BgoOMRHh5eSBUCAIDCZokgM3jwYK1YsULr1q3THXfckeW8I0eOVFJSkuNx8uTJQqoSAAAUNrc+tWSM0bPPPqvPPvtM69evV2RkZLbL2Gw22Wy2QqgOAAC4mlsHmUGDBmn+/PlatmyZSpYsqYSEBElSYGCg/P39XVwdAABwNbc+tTRt2jQlJSWpRYsWKl++vOPx6aefuro0AADgBtx6RMYY4+oSAACAG3PrERkAAICsEGQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlWSLITJ06VZUqVZKfn58aNmyobdu2ubokAADgBtw+yHz66ad67rnnNGbMGO3atUv33HOPYmJilJiY6OrSAACAi7l9kJk0aZL69++vfv36qUaNGpo+fbqKFSumjz76yNWlAQAAF3PrIHPt2jXt3LlTrVu3drR5enqqdevW2rx5swsrAwAA7sDb1QVk5ezZs0pNTVVISIhTe0hIiPbv35/hMikpKUpJSXE8T0pKkiQlJyfna20XL16UJJ3ft1c3Ll/O13W7i+Rjh//678F98pWHi6vJf0X9/UlF/z3y/qyvqL/Hov7+Lh7/5a//XryY7//Opq3PGJP1jMaNnTp1ykgy3333nVP7iy++aBo0aJDhMmPGjDGSePDgwYMHDx5F4HHy5Mkss4Jbj8iUKVNGXl5eOnPmjFP7mTNnFBoamuEyI0eO1HPPPed4brfbde7cOQUHB8vDI+9pODk5WeHh4Tp58qQCAgLyvB5kj74uPPR14aGvCw99XXgKsq+NMbpw4YLCwsKynM+tg4yvr6/q1auntWvXqkuXLpL+CiZr167V4MGDM1zGZrPJZrM5tQUFBeVbTQEBAXwwCgl9XXjo68JDXxce+rrwFFRfBwYGZjuPWwcZSXruuecUGxur6OhoNWjQQJMnT9alS5fUr18/V5cGAABczO2DTPfu3fX7779r9OjRSkhIUJ06dbRq1ap0FwADAIC/H7cPMpI0ePDgTE8lFRabzaYxY8akO22F/EdfFx76uvDQ14WHvi487tDXHsZkd18TAACAe3LrL8QDAADICkEGAABYFkEGAABYFkEGAABYFkEmB6ZOnapKlSrJz89PDRs21LZt21xdkuXFxcWpfv36KlmypMqVK6cuXbrowIEDTvNcvXpVgwYNUnBwsEqUKKFHHnkk3bc8I/def/11eXh4aNiwYY42+jr/nDp1Sk888YSCg4Pl7++v2rVra8eOHY7pxhiNHj1a5cuXl7+/v1q3bq1Dhw65sGJrSk1N1ahRoxQZGSl/f39FRUVpwoQJTr/LQ1/n3caNG9WxY0eFhYXJw8NDS5cudZqek749d+6cevXqpYCAAAUFBekf//iH43cK89Xt/yJS0bZgwQLj6+trPvroI/PTTz+Z/v37m6CgIHPmzBlXl2ZpMTExZtasWWbv3r1m9+7d5qGHHjIVK1Y0Fy9edMzzz3/+04SHh5u1a9eaHTt2mPvuu880btzYhVVb37Zt20ylSpXM3XffbYYOHepop6/zx7lz50xERITp27ev2bp1q/nll1/M6tWrzeHDhx3zvP766yYwMNAsXbrU7Nmzx3Tq1MlERkaaK1euuLBy65k4caIJDg42K1asMEePHjWLFi0yJUqUMO+++65jHvo677788kvz6quvmiVLlhhJ5rPPPnOanpO+bdu2rbnnnnvMli1bzDfffGOqVKlievbsme+1EmSy0aBBAzNo0CDH89TUVBMWFmbi4uJcWFXRk5iYaCSZDRs2GGOMOX/+vPHx8TGLFi1yzLNv3z4jyWzevNlVZVrahQsXTNWqVc2aNWtM8+bNHUGGvs4/L7/8smnatGmm0+12uwkNDTX//ve/HW3nz583NpvN/Pe//y2MEouM9u3bmyeffNKprWvXrqZXr17GGPo6P90aZHLStz///LORZLZv3+6YZ+XKlcbDw8OcOnUqX+vj1FIWrl27pp07d6p169aONk9PT7Vu3VqbN292YWVFT1JSkiSpdOnSkqSdO3fq+vXrTn1frVo1VaxYkb7Po0GDBql9+/ZOfSrR1/lp+fLlio6O1mOPPaZy5cqpbt26mjlzpmP60aNHlZCQ4NTXgYGBatiwIX2dS40bN9batWt18OBBSdKePXu0adMmtWvXThJ9XZBy0rebN29WUFCQoqOjHfO0bt1anp6e2rp1a77WY4lv9nWVs2fPKjU1Nd3PIYSEhGj//v0uqqrosdvtGjZsmJo0aaJatWpJkhISEuTr65vuBz9DQkKUkJDggiqtbcGCBdq1a5e2b9+ebhp9nX9++eUXTZs2Tc8995xeeeUVbd++XUOGDJGvr69iY2Md/ZnRMYW+zp0RI0YoOTlZ1apVk5eXl1JTUzVx4kT16tVLkujrApSTvk1ISFC5cuWcpnt7e6t06dL53v8EGbjcoEGDtHfvXm3atMnVpRRJJ0+e1NChQ7VmzRr5+fm5upwizW63Kzo6Wq+99pokqW7dutq7d6+mT5+u2NhYF1dXtCxcuFDz5s3T/PnzVbNmTe3evVvDhg1TWFgYff03w6mlLJQpU0ZeXl7p7t44c+aMQkNDXVRV0TJ48GCtWLFC69at0x133OFoDw0N1bVr13T+/Hmn+en73Nu5c6cSExN17733ytvbW97e3tqwYYPee+89eXt7KyQkhL7OJ+XLl1eNGjWc2qpXr64TJ05IkqM/OabcvhdffFEjRoxQjx49VLt2bfXu3VvDhw9XXFycJPq6IOWkb0NDQ5WYmOg0/caNGzp37ly+9z9BJgu+vr6qV6+e1q5d62iz2+1au3atGjVq5MLKrM8Yo8GDB+uzzz5TfHy8IiMjnabXq1dPPj4+Tn1/4MABnThxgr7PpVatWunHH3/U7t27HY/o6Gj16tXL8f/0df5o0qRJuq8ROHjwoCIiIiRJkZGRCg0Nderr5ORkbd26lb7OpcuXL8vT0/mfMC8vL9ntdkn0dUHKSd82atRI58+f186dOx3zxMfHy263q2HDhvlbUL5eOlwELViwwNhsNjN79mzz888/mwEDBpigoCCTkJDg6tIs7emnnzaBgYFm/fr15rfffnM8Ll++7Jjnn//8p6lYsaKJj483O3bsMI0aNTKNGjVyYdVFx813LRlDX+eXbdu2GW9vbzNx4kRz6NAhM2/ePFOsWDEzd+5cxzyvv/66CQoKMsuWLTM//PCD6dy5M7cE50FsbKypUKGC4/brJUuWmDJlypiXXnrJMQ99nXcXLlww33//vfn++++NJDNp0iTz/fffm+PHjxtjcta3bdu2NXXr1jVbt241mzZtMlWrVuX2a1d5//33TcWKFY2vr69p0KCB2bJli6tLsjxJGT5mzZrlmOfKlSvmmWeeMaVKlTLFihUzDz/8sPntt99cV3QRcmuQoa/zz+eff25q1aplbDabqVatmpkxY4bTdLvdbkaNGmVCQkKMzWYzrVq1MgcOHHBRtdaVnJxshg4daipWrGj8/PxM5cqVzauvvmpSUlIc89DXebdu3boMj9GxsbHGmJz17R9//GF69uxpSpQoYQICAky/fv3MhQsX8r1WD2Nu+hpEAAAAC+EaGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQBFztixY1WnTh1XlwGgEBBkALiNvn37ysPDQx4eHvLx8VFISIgefPBBffTRR47f0AGAmxFkALiVtm3b6rffftOxY8e0cuVKPfDAAxo6dKg6dOigGzduuLo8AG6GIAPArdhsNoWGhqpChQq699579corr2jZsmVauXKlZs+eLUk6f/68nnrqKZUtW1YBAQFq2bKl9uzZk25dH374ocLDw1WsWDF169ZNSUlJhfxuABQ0ggwAt9eyZUvdc889WrJkiSTpscceU2JiolauXKmdO3fq3nvvVatWrXTu3DnHMocPH9bChQv1+eefa9WqVfr+++/1zDPPuOotACggBBkAllCtWjUdO3ZMmzZt0rZt27Ro0SJFR0eratWqeuuttxQUFKTFixc75r969ao+/vhj1alTR/fff7/ef/99LViwQAkJCS58FwDym7erCwCAnDDGyMPDQ3v27NHFixcVHBzsNP3KlSs6cuSI43nFihVVoUIFx/NGjRrJbrfrwIEDCg0NLbS6ARQsggwAS9i3b58iIyN18eJFlS9fXuvXr083T1BQUKHXBcC1CDIA3F58fLx+/PFHDR8+XHfccYcSEhLk7e2tSpUqZbrMiRMndPr0aYWFhUmStmzZIk9PT911112FVDWAwkCQAeBWUlJSlJCQoNTUVJ05c0arVq1SXFycOnTooD59+sjT01ONGjVSly5d9Oabb+rOO+/U6dOn9cUXX+jhhx9WdHS0JMnPz0+xsbF66623lJycrCFDhqhbt26cVgKKGIIMALeyatUqlS9fXt7e3ipVqpTuuecevffee4qNjZWn51/3J3z55Zd69dVX1a9fP/3+++8KDQ3V/fffr5CQEMd6qlSpoq5du+qhhx7SuXPn1KFDB33wwQeuelsACoiHMca4uggAAIC84PZrAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWf8fkUdcjcRxpm8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "distr_Deb(deceptive_sample)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b5586ef",
   "metadata": {},
   "source": [
    "## Knapsack instances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d53a2eaa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/home/toni/Projects/pyxla-wg/docs\n"
     ]
    }
   ],
   "source": [
    "%cd ../../.."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "aebf1b19",
   "metadata": {},
   "outputs": [],
   "source": [
    "easy_kp = load_sample('easy_kp')\n",
    "hard_kp = load_sample('hard_kp')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8ed93fdf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat, plot = distr_f(easy_kp, title=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0cbed271",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat, plot = distr_v(easy_kp, title=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c989aa05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat, plot = distr_Par(easy_kp, title=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "35d5dadd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZY8aM8dmWnp6u//mf/5EkJSUlSZLq6uqUnJzsPaaurk4TJkwI6GwAAKBv6NX37HR0dOhrX/uav2e5yOTJk3XixAmfbe+//76GDx8u6ZM3KyclJamsrMy73+PxqLKyUpmZmQGfDwAAhL9exc73v/99bd261d+zXGTp0qXav3+/fvGLX+jkyZPaunWrfvWrXyk3N1fSJx+BX7JkiVatWqUXX3xRR48e1Xe+8x2lpKR4PyYPAACubb16GautrU2/+tWv9Oqrr+rmm29WVFSUz/61a9f6ZbjbbrtNO3bsUEFBgQoLC+V0OlVcXKz58+d7j3nsscfU0tKiRYsWqbGxUXfccYdKS0v5jh0A15Rgfi1DYmKi0tLSgrYecLV6FTvvvPOO9z0xx44d89nn7zcrz5w5UzNnzrzsfpvNpsLCQhUWFvp1XQDoC9rc5ySbTQsWLAjamv3699fx6mqCB31Gr2Lntdde8/ccAIBe6Gz2SJalcctWaUj6uICv11xzUgeX/Uhut5vYQZ/R6+/ZAQCEjwHDnUH5+gegL+pV7EyZMuUzX67as2dPrwcCAADwp17Fzj9+h01nZ6eOHDmiY8eOXdWX/QEAAPhbr2Ln6aefvuT2n/3sZzp//vxVDQQAAOBPvfqenctZsGCB334XCwAAwB/8GjsVFRV8vw0AAAgrvXoZa86cOT7XLcvSxx9/rIMHD2r58uV+GQwAAMAfehU78fHxPtcjIiJ00003qbCwUNOnT/fLYAAAAP7Qq9jZvHmzv+cAAAAIiKv6UsGqqirv77GMHTtWt9xyi1+GAgAA8JdexU59fb3mzZunvXv3KiEhQZLU2NioKVOmaNu2bRoyZIg/ZwQAAOi1Xn0a6+GHH1Zzc7PeffddNTQ0qKGhQceOHZPH49Ejjzzi7xkBAAB6rVfP7JSWlurVV19Venq6d9uYMWNUUlLCG5QBAEBY6dUzOz09PYqKirpoe1RUlHp6eq56KAAAAH/pVexMnTpVixcv1tmzZ73bzpw5o6VLl2ratGl+Gw4AAOBq9Sp2fvnLX8rj8WjEiBG68cYbdeONN8rpdMrj8Wj9+vX+nhEAAKDXevWendTUVB06dEivvvqqjh8/LklKT09XVlaWX4cDAAC4WlcUO3v27FFeXp7279+vuLg43XXXXbrrrrskSU1NTRo7dqw2bdqkf/qnfwrIsPh8tbW1crvdQVvv0+9ZAgAgXF1R7BQXF+uBBx5QXFzcRfvi4+P1gx/8QGvXriV2QqS2tlaj09N1obU16Gt3dLQHfU0AAL6IK4qdt99+W0899dRl90+fPl1r1qy56qHQO263WxdaW5Wxao1inSODsqbrjb2q3lCsrq6uoKwHAMCVuqLYqauru+RHzr13Fhmpc+fOXfVQuDqxzpFKSB8blLWaaz4MyjoAAPTWFX0a64YbbtCxY8cuu/+dd95RcnLyVQ8FAADgL1cUO/fee6+WL1+utra2i/ZduHBBK1eu1MyZM/02HAAAwNW6opexli1bpj/96U/68pe/rLy8PN10002SpOPHj6ukpETd3d366U9/GpBBAQAAeuOKYsfhcOjNN9/Ugw8+qIKCAlmWJUmy2WzKzs5WSUmJHA5HQAYFAADojSv+UsHhw4frlVde0d/+9jedPHlSlmVp1KhRGjhwYCDmAwAAuCq9+gZlSRo4cKBuu+02f84CAADgd736bSwAAIC+gtgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGiwz1AACAvqe6ujpoayUmJiotLS1o68E8fSp2nnzySRUUFGjx4sUqLi6WJLW1temHP/yhtm3bpvb2dmVnZ2vDhg1yOByhHRYADNTmPifZbFqwYEHQ1uzXv7+OV1cTPOi1PhM7Bw4c0DPPPKObb77ZZ/vSpUv15z//Wdu3b1d8fLzy8vI0Z84cvfHGGyGaFADM1dnskSxL45at0pD0cQFfr7nmpA4u+5Hcbjexg17rE7Fz/vx5zZ8/X7/+9a+1atUq7/ampib95je/0datWzV16lRJ0ubNm5Wenq79+/frq1/96iXvr729Xe3t7d7rHo8nsA8AAAwzYLhTCeljQz0G8IX0iTco5+bmasaMGcrKyvLZXlVVpc7OTp/to0ePVlpamioqKi57f0VFRYqPj/deUlNTAzY7AAAIrbCPnW3btunQoUMqKiq6aJ/L5VJ0dLQSEhJ8tjscDrlcrsveZ0FBgZqamryX06dP+3tsAAAQJsL6ZazTp09r8eLF2r17t2JiYvx2v3a7XXa73W/3BwAAwldYP7NTVVWl+vp63XrrrYqMjFRkZKTKy8u1bt06RUZGyuFwqKOjQ42NjT63q6urU1JSUmiGBgAAYSWsn9mZNm2ajh496rNt4cKFGj16tH784x8rNTVVUVFRKisr09y5cyVJJ06cUG1trTIzM0MxMgAACDNhHTuxsbEaN873o40DBgzQ4MGDvdvvv/9+5efna9CgQYqLi9PDDz+szMzMy34SCwAAXFvCOna+iKeffloRERGaO3euz5cKAgAASH0wdvbu3etzPSYmRiUlJSopKQnNQAAAIKyF9RuUAQAArhaxAwAAjEbsAAAAoxE7AADAaMQOAAAwGrEDAACMRuwAAACjETsAAMBoxA4AADAasQMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjBYZ6gFMV1tbK7fbHZS1qqurg7IOAAB9CbETQLW1tRqdnq4Lra1BXbejoz2o6wEAEM6InQByu9260NqqjFVrFOscGfD1XG/sVfWGYnV1dQV8LQAA+gpiJwhinSOVkD424Os013wY8DUAAOhreIMyAAAwGrEDAACMRuwAAACjETsAAMBoxA4AADAasQMAAIzGR88BAGEv2N8Qn5iYqLS0tKCuicAhdgAAYavNfU6y2bRgwYKgrtuvf38dr64meAxB7AAAwlZns0eyLI1btkpD0scFZc3mmpM6uOxHcrvdxI4hiB0AQNgbMNwZlG+i/3vBfOmsvb1ddrvd2PVC/bIgsQMAwN8JyUtntgjJ6jF2vVC/LEjsAADwd4L90tmnP+Js6nrh8LIgsQMAwCUE66WzT3/E2dT1wgHfswMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjEbsAAAAoxE7AADAaMQOAAAwGrEDAACMRuwAAACjETsAAMBoxA4AADAasQMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjEbsAAAAoxE7AADAaMQOAAAwGrEDAACMRuwAAACjETsAAMBoYR07RUVFuu222xQbG6uhQ4dq9uzZOnHihM8xbW1tys3N1eDBg3X99ddr7ty5qqurC9HEAAAg3IR17JSXlys3N1f79+/X7t271dnZqenTp6ulpcV7zNKlS/XSSy9p+/btKi8v19mzZzVnzpwQTg0AAMJJZKgH+CylpaU+17ds2aKhQ4eqqqpKd955p5qamvSb3/xGW7du1dSpUyVJmzdvVnp6uvbv36+vfvWroRgbAACEkbB+ZucfNTU1SZIGDRokSaqqqlJnZ6eysrK8x4wePVppaWmqqKi47P20t7fL4/H4XAAAgJn6TOz09PRoyZIlmjx5ssaNGydJcrlcio6OVkJCgs+xDodDLpfrsvdVVFSk+Ph47yU1NTWQowMAgBDqM7GTm5urY8eOadu2bVd9XwUFBWpqavJeTp8+7YcJAQBAOArr9+x8Ki8vTy+//LL27dunYcOGebcnJSWpo6NDjY2NPs/u1NXVKSkp6bL3Z7fbZbfbAzkyAAAIE2H9zI5lWcrLy9OOHTu0Z88eOZ1On/0TJ05UVFSUysrKvNtOnDih2tpaZWZmBntcAAAQhsL6mZ3c3Fxt3bpVL7zwgmJjY73vw4mPj1e/fv0UHx+v+++/X/n5+Ro0aJDi4uL08MMPKzMzk09iAQAASWEeOxs3bpQkff3rX/fZvnnzZn33u9+VJD399NOKiIjQ3Llz1d7eruzsbG3YsCHIkwIAgHAV1rFjWdbnHhMTE6OSkhKVlJQEYSIAANDXhPV7dgAAAK4WsQMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjEbsAAAAoxE7AADAaMQOAAAwGrEDAACMRuwAAACjETsAAMBoxA4AADAasQMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjEbsAAAAoxE7AADAaMQOAAAwGrEDAACMRuwAAACjETsAAMBoxA4AADAasQMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjEbsAAAAoxE7AADAaMQOAAAwGrEDAACMRuwAAACjETsAAMBoxA4AADAasQMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjEbsAAAAoxE7AADAaMQOAAAwGrEDAACMRuwAAACjETsAAMBoxA4AADAasQMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjEbsAAAAoxkTOyUlJRoxYoRiYmI0adIkvfXWW6EeCQAAhAEjYuf3v/+98vPztXLlSh06dEjjx49Xdna26uvrQz0aAAAIMSNiZ+3atXrggQe0cOFCjRkzRps2bVL//v317LPPhno0AAAQYpGhHuBqdXR0qKqqSgUFBd5tERERysrKUkVFxSVv097ervb2du/1pqYmSZLH4/HrbOfPn5ckNVYfU1drq1/v+1I8p05+8r/vVytatoCvF4o1WY/1wn1N1uvb64ViTdPXO//RXz753/Pn/f7f2U/vz7Kszz7Q6uPOnDljSbLefPNNn+2PPvqodfvtt1/yNitXrrQkceHChQsXLlwMuJw+ffozW6HPP7PTGwUFBcrPz/de7+npUUNDgwYPHiybzT+V6/F4lJqaqtOnTysuLs4v94krx3kIPc5BeOA8hAfOg39ZlqXm5malpKR85nF9PnYSExN13XXXqa6uzmd7XV2dkpKSLnkbu90uu93usy0hISEg88XFxfF/6DDAeQg9zkF44DyEB86D/8THx3/uMX3+DcrR0dGaOHGiysrKvNt6enpUVlamzMzMEE4GAADCQZ9/ZkeS8vPzlZOTo4yMDN1+++0qLi5WS0uLFi5cGOrRAABAiBkRO//yL/+ic+fOacWKFXK5XJowYYJKS0vlcDhCNpPdbtfKlSsverkMwcV5CD3OQXjgPIQHzkNo2Czr8z6vBQAA0Hf1+ffsAAAAfBZiBwAAGI3YAQAARiN2AACA0YidACkpKdGIESMUExOjSZMm6a233gr1SMbYt2+f7rvvPqWkpMhms2nnzp0++y3L0ooVK5ScnKx+/fopKytLH3zwgc8xDQ0Nmj9/vuLi4pSQkKD777/f+1tm+HxFRUW67bbbFBsbq6FDh2r27Nk6ceKEzzFtbW3Kzc3V4MGDdf3112vu3LkXfflnbW2tZsyYof79+2vo0KF69NFH1dXVFcyH0qdt3LhRN998s/cL6jIzM7Vr1y7vfs5B8D355JOy2WxasmSJdxvnIfSInQD4/e9/r/z8fK1cuVKHDh3S+PHjlZ2drfr6+lCPZoSWlhaNHz9eJSUll9y/evVqrVu3Tps2bVJlZaUGDBig7OxstbW1eY+ZP3++3n33Xe3evVsvv/yy9u3bp0WLFgXrIfR55eXlys3N1f79+7V79251dnZq+vTpamlp8R6zdOlSvfTSS9q+fbvKy8t19uxZzZkzx7u/u7tbM2bMUEdHh958800999xz2rJli1asWBGKh9QnDRs2TE8++aSqqqp08OBBTZ06VbNmzdK7774riXMQbAcOHNAzzzyjm2++2Wc75yEM+OXXOOHj9ttvt3Jzc73Xu7u7rZSUFKuoqCiEU5lJkrVjxw7v9Z6eHispKcn6j//4D++2xsZGy263W7/73e8sy7Ks9957z5JkHThwwHvMrl27LJvNZp05cyZos5ukvr7ekmSVl5dblvXJ3zwqKsravn2795jq6mpLklVRUWFZlmW98sorVkREhOVyubzHbNy40YqLi7Pa29uD+wAMMnDgQOu///u/OQdB1tzcbI0aNcravXu39c///M/W4sWLLcvi34VwwTM7ftbR0aGqqiplZWV5t0VERCgrK0sVFRUhnOzaUFNTI5fL5fP3j4+P16RJk7x//4qKCiUkJCgjI8N7TFZWliIiIlRZWRn0mU3Q1NQkSRo0aJAkqaqqSp2dnT7nYfTo0UpLS/M5D1/5yld8vvwzOztbHo/H+8wEvrju7m5t27ZNLS0tyszM5BwEWW5urmbMmOHz95b4dyFcGPENyuHE7Xaru7v7om9vdjgcOn78eIimuna4XC5JuuTf/9N9LpdLQ4cO9dkfGRmpQYMGeY/BF9fT06MlS5Zo8uTJGjdunKRP/sbR0dEX/cDuP56HS52nT/fhizl69KgyMzPV1tam66+/Xjt27NCYMWN05MgRzkGQbNu2TYcOHdKBAwcu2se/C+GB2AFwVXJzc3Xs2DG9/vrroR7lmnTTTTfpyJEjampq0h//+Efl5OSovLw81GNdM06fPq3Fixdr9+7diomJCfU4uAxexvKzxMREXXfddRe9076urk5JSUkhmura8enf+LP+/klJSRe9Wbyrq0sNDQ2coyuUl5enl19+Wa+99pqGDRvm3Z6UlKSOjg41Njb6HP+P5+FS5+nTffhioqOjNXLkSE2cOFFFRUUaP368/uu//otzECRVVVWqr6/XrbfeqsjISEVGRqq8vFzr1q1TZGSkHA4H5yEMEDt+Fh0drYkTJ6qsrMy7raenR2VlZcrMzAzhZNcGp9OppKQkn7+/x+NRZWWl9++fmZmpxsZGVVVVeY/Zs2ePenp6NGnSpKDP3BdZlqW8vDzt2LFDe/bskdPp9Nk/ceJERUVF+ZyHEydOqLa21uc8HD161Cc8d+/erbi4OI0ZMyY4D8RAPT09am9v5xwEybRp03T06FEdOXLEe8nIyND8+fO9/8x5CAOhfoe0ibZt22bZ7XZry5Yt1nvvvWctWrTISkhI8HmnPXqvubnZOnz4sHX48GFLkrV27Vrr8OHD1kcffWRZlmU9+eSTVkJCgvXCCy9Y77zzjjVr1izL6XRaFy5c8N7H3Xffbd1yyy1WZWWl9frrr1ujRo2yvv3tb4fqIfU5Dz74oBUfH2/t3bvX+vjjj72X1tZW7zH/9m//ZqWlpVl79uyxDh48aGVmZlqZmZne/V1dXda4ceOs6dOnW0eOHLFKS0utIUOGWAUFBaF4SH3S448/bpWXl1s1NTXWO++8Yz3++OOWzWaz/u///s+yLM5BqPz9p7Esi/MQDoidAFm/fr2VlpZmRUdHW7fffru1f//+UI9kjNdee82SdNElJyfHsqxPPn6+fPlyy+FwWHa73Zo2bZp14sQJn/v461//an3729+2rr/+eisuLs5auHCh1dzcHIJH0zdd6u8vydq8ebP3mAsXLlgPPfSQNXDgQKt///7WN77xDevjjz/2uZ9Tp05Z99xzj9WvXz8rMTHR+uEPf2h1dnYG+dH0Xd/73ves4cOHW9HR0daQIUOsadOmeUPHsjgHofKPscN5CD2bZVlWaJ5TAgAACDzeswMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjEbsAAAAoxE7AADAaMQOAAAwGrED4Jr0s5/9TBMmTAj1GACCgNgB0Kd897vflc1mk81mU1RUlBwOh+666y49++yz6unpCfV4AMIQsQOgz7n77rv18ccf69SpU9q1a5emTJmixYsXa+bMmerq6gr1eADCDLEDoM+x2+1KSkrSDTfcoFtvvVU/+clP9MILL2jXrl3asmWLJKmxsVHf//73NWTIEMXFxWnq1Kl6++23L7qvZ555Rqmpqerfv7++9a1vqampKciPBkCgETsAjDB16lSNHz9ef/rTnyRJ3/zmN1VfX69du3apqqpKt956q6ZNm6aGhgbvbU6ePKk//OEPeumll1RaWqrDhw/roYceCtVDABAgxA4AY4wePVqnTp3S66+/rrfeekvbt29XRkaGRo0apTVr1ighIUF//OMfvce3tbXp+eef14QJE3TnnXdq/fr12rZtm1wuVwgfBQB/iwz1AADgL5ZlyWaz6e2339b58+c1ePBgn/0XLlzQhx9+6L2elpamG264wXs9MzNTPT09OnHihJKSkoI2N4DAInYAGKO6ulpOp1Pnz59XcnKy9u7de9ExCQkJQZ8LQGgROwCMsGfPHh09elRLly7VsGHD5HK5FBkZqREjRlz2NrW1tTp79qxSUlIkSfv371dERIRuuummIE0NIBiIHQB9Tnt7u1wul7q7u1VXV6fS0lIVFRVp5syZ+s53vqOIiAhlZmZq9uzZWr16tb785S/r7Nmz+vOf/6xvfOMbysjIkCTFxMQoJydHa9askcfj0SOPPKJvfetbvIQFGIbYAdDnlJaWKjk5WZGRkRo4cKDGjx+vdevWKScnRxERn3zu4pVXXtFPf/pTLVy4UOfOnVNSUpLuvPNOORwO7/2MHDlSc+bM0b333quGhgbNnDlTGzZsCNXDAhAgNsuyrFAPAQAAECh89BwAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDR/h9T0W0IYI2WiQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat, plot = distr_Deb(easy_kp, title=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0ba914ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BAGfOnEFeXh5aW1vx61//ulsKJaLey64g0mq1OHLkCObPn4/MzEwIIQDcfMhhYmIi8vLyoNVqu6VQIuq97L6hcejQodi7dy++/fZbnD9/HkIIREZGYtCgQd1RHxH1AQ5PjDZo0CCMHTvWmbUQUR/FR04TkXQMIiKSjkFERNIxiIhIOgYREUnXo4Jo5cqVUKlUSE9PV9Y1NTUhNTUVQUFBGDhwIJKSkmAymeQVSUR26zFBdPz4cfz+97/HyJG203AuXrwYH374IXbu3InDhw/j4sWLbR6JTUTurUcE0dWrVzFr1iy88847NjdO1tfX491338WaNWvwxBNPYMyYMdi8eTOOHDmCo0ePSqyYiOzRI4IoNTUV06ZNazMVbUlJCVpaWmzWR0VFITw8HIWFhR3uz2KxwGw22yxEJE+XHjntCjt27MCJEydw/PjxNm1GoxHe3t7K02Zv0Wq1MBqNHe4zJycHy5cvd3apROQgtz4jqq6uxqJFi7Bt2zb4+Pg4bb+ZmZmor69Xlurqaqftm4js59ZnRCUlJaipqcEjjzyirGttbcUnn3yC9evXY9++fWhubkZdXZ3NWZHJZIJOp+twv2q1Gmq1ujtLpz7sbg9h5AMY23LrIJo0aRJOnTpls27OnDmIiorCyy+/jLCwMHh5ecFgMCApKQkAUFFRgaqqKsTFxckomeiuD2HkAxjbcusg8vPzQ0xMjM26AQMGICgoSFk/d+5cZGRkIDAwEP7+/li4cCHi4uLw6KOPyiiZiBzg1kHUGW+++SY8PDyQlJQEi8WCxMREvP3227LLIiI79LggOnTokM1rHx8f5OXlIS8vT05BRNRlPS6IqHP0kQ/g4jff3LFPS0uzi6ohujMGUS918ZtvMO3IyTv22RUb5aJqiO7Mre8jIqK+gUFERNIxiIhIOgYREUnHICIi6RhERCQdg4iIpGMQEZF0DCIiko5BRETSMYiISDoGERFJxy+99kD8Zj31NgyiHojfrKfehh/NiEg6nhERudjdnvIB9L0nfTCIiFzsbk/5APrekz740YyIpGMQEZF0DCIiko5BRETSMYiISDoGERFJxyAiIukYREQkHYOIiKRjEBGRdAwiIpKOQURE0rl1EOXk5GDs2LHw8/NDcHAwZsyYgYqKCps+TU1NSE1NRVBQEAYOHIikpCSYTCZJFRORI9w6iA4fPozU1FQcPXoU+/fvR0tLCyZPnozGxkalz+LFi/Hhhx9i586dOHz4MC5evIinn35aYtVEZC+3ngakoKDA5vWWLVsQHByMkpISfPe730V9fT3effddbN++HU888QQAYPPmzYiOjsbRo0fx6KOPyiibiOzk1mdE/6m+vh4AEBgYCAAoKSlBS0sLEhISlD5RUVEIDw9HYWGhlBqJyH5ufUZ0O6vVivT0dEyYMAExMTEAAKPRCG9vbwQEBNj01Wq1MBqNHe7LYrHAYrEor81mc7fUTESd02POiFJTU1FWVoYdO3Z0eV85OTnQaDTKEhYW5oQKichRPSKI0tLSsGfPHhw8eBBDhgxR1ut0OjQ3N6Ours6mv8lkgk6n63B/mZmZqK+vV5bq6uruKp2IOsGtg0gIgbS0NOzatQsHDhyAXq+3aR8zZgy8vLxgMBiUdRUVFaiqqkJcXFyH+1Wr1fD397dZiEgetx4jSk1Nxfbt2/HXv/4Vfn5+yriPRqOBr68vNBoN5s6di4yMDAQGBsLf3x8LFy5EXFwcr5gR9SBuHUQbNmwAADz22GM26zdv3oxnn30WAPDmm2/Cw8MDSUlJsFgsSExMxNtvv+3iSomoK9w6iIQQd+3j4+ODvLw85OXluaAiIuoObj1GRER9A4OIiKRjEBGRdAwiIpKOQURE0jGIiEg6BhERSccgIiLpGEREJB2DiIikYxARkXRu/V0zor6qxdoKtW//DttDhwxB5bmzLqyoezGIiNyQuNGKacWnO2z/W/xIF1bT/RhEbkgf+QAufvNNh+0tLc0urIao+zGI3NDFb77BtCMnO2zfFRvlwmqIuh8Hq4lIOgYREUnHj2YudrfxH4BjQHR3d7uqBvSsK2sMIhe72/gPwDEguru7XVUDetaVNX40IyLpGEREJB2DiIikYxARkXQMIiKSjkFERNIxiIhIOgYREUnHICIi6XhntZNxCg9yFz3payAMIifjFB7kLnrS10D40YyIpGMQEZF0vSaI8vLyEBERAR8fH4wfPx7Hjh1z+s/QRz4AtW//Oy4cA6Ke5NY4UkeLPvIBl9TRK8aI/vSnPyEjIwP5+fkYP348cnNzkZiYiIqKCgQHBzvt53AKD+pt3GWS/l5xRrRmzRrMmzcPc+bMwfDhw5Gfn4/+/ftj06ZNsksjok7o8WdEzc3NKCkpQWZmprLOw8MDCQkJKCwsbHcbi8UCi8WivK6vrwcAmM3mO/4sIQRarjbcuaC79XGXfbjq57BW991HJ/oIIe76e3GrXQhx55915zp6tgsXLggA4siRIzbrX3zxRTFu3Lh2t1m2bJkAwIULFycu1dXVDv8e9/gzIkdkZmYiIyNDeW21WnHlyhUEBQVBpVK1u43ZbEZYWBiqq6vh7+/vqlKl6EvHCvSt4+2OYxVCoKGhAaGhoQ7vo8cH0eDBg9GvXz+YTCab9SaTCTqdrt1t1Go11Gq1zbqAgIBO/Tx/f/9e/4/1lr50rEDfOl5nH6tGo+nS9j1+sNrb2xtjxoyBwWBQ1lmtVhgMBsTFxUmsjIg6q8efEQFARkYGkpOTERsbi3HjxiE3NxeNjY2YM2eO7NKIqBN6RRA988wzuHz5MpYuXQqj0YhRo0ahoKAAWq3WaT9DrVZj2bJlbT7S9UZ96ViBvnW87nqsKiG6cs2NiKjrevwYERH1fAwiIpKOQURE0jGIiEg6BlEnuWKake6Uk5ODsWPHws/PD8HBwZgxYwYqKips+jQ1NSE1NRVBQUEYOHAgkpKS2twoWlVVhWnTpqF///4IDg7Giy++iBs3brjyUOy2cuVKqFQqpKenK+t627FeuHABs2fPRlBQEHx9ffHQQw+huLhYaRdCYOnSpQgJCYGvry8SEhJw7tw5m31cuXIFs2bNgr+/PwICAjB37lxcvXrVNQfg8JdD+pAdO3YIb29vsWnTJnH69Gkxb948ERAQIEwmk+zSOi0xMVFs3rxZlJWVidLSUjF16lQRHh4url69qvR5/vnnRVhYmDAYDKK4uFg8+uijIj4+Xmm/ceOGiImJEQkJCeKzzz4Te/fuFYMHDxaZmZkyDqlTjh07JiIiIsTIkSPFokWLlPW96VivXLkihg4dKp599llRVFQkvvrqK7Fv3z5x/vx5pc/KlSuFRqMRu3fvFp9//rn44Q9/KPR6vbh+/brS58knnxQPP/ywOHr0qPjHP/4h7r//fvHTn/7UJcfAIOqEcePGidTUVOV1a2urCA0NFTk5ORKr6pqamhoBQBw+fFgIIURdXZ3w8vISO3fuVPqUl5cLAKKwsFAIIcTevXuFh4eHMBqNSp8NGzYIf39/YbFYXHsAndDQ0CAiIyPF/v37xfe+9z0liHrbsb788sti4sSJHbZbrVah0+nE7373O2VdXV2dUKvV4r333hNCCPHFF18IAOL48eNKn48++kioVCpx4cKF7iv+/+NHs7u4Nc1IQkKCsu5u04z0BLemPgkMDAQAlJSUoKWlxeY4o6KiEB4erhxnYWEhHnroIZsbRRMTE2E2m3H69J0naZchNTUV06ZNszkmoPcd6wcffIDY2Fj8+Mc/RnBwMEaPHo133nlHaa+srITRaLQ5Xo1Gg/Hjx9scb0BAAGJjY5U+CQkJ8PDwQFFRUbcfA4PoLmpra9Ha2trmLm2tVguj0Sipqq6xWq1IT0/HhAkTEBMTAwAwGo3w9vZu8+Xf24/TaDS2+z7canMnO3bswIkTJ5CTk9Omrbcd61dffYUNGzYgMjIS+/btw/z58/HCCy/gD3/4A4D/q/dO/4aNRmOb2Uw9PT0RGBjokuPtFV/xIPukpqairKwMn376qexSukV1dTUWLVqE/fv3w8fHR3Y53c5qtSI2NhavvfYaAGD06NEoKytDfn4+kpOTJVfXOTwjugtHphlxZ2lpadizZw8OHjyIIUOGKOt1Oh2am5tRV1dn0//249TpdO2+D7fa3EVJSQlqamrwyCOPwNPTE56enjh8+DDWrl0LT09PaLXaXnOsABASEoLhw4fbrIuOjkZVVRWA/6v3Tv+GdTodampqbNpv3LiBK1euuOR4GUR30VumGRFCIC0tDbt27cKBAweg1+tt2seMGQMvLy+b46yoqEBVVZVynHFxcTh16pTNP9j9+/fD39+/zS+CTJMmTcKpU6dQWlqqLLGxsZg1a5by595yrAAwYcKENrdinD17FkOHDgUA6PV66HQ6m+M1m80oKiqyOd66ujqUlJQofQ4cOACr1Yrx48d3/0F0+3B4L7Bjxw6hVqvFli1bxBdffCFSUlJEQECAzRUVdzd//nyh0WjEoUOHxKVLl5Tl2rVrSp/nn39ehIeHiwMHDoji4mIRFxcn4uLilPZbl7QnT54sSktLRUFBgbjnnnvc8pL2f7r9qpkQvetYjx07Jjw9PcWrr74qzp07J7Zt2yb69+8v/vd//1fps3LlShEQECD++te/ipMnT4rp06e3e/l+9OjRoqioSHz66aciMjKSl+/dzbp160R4eLjw9vYW48aNE0ePHpVdkl3QwTzDmzdvVvpcv35dLFiwQAwaNEj0799f/OhHPxKXLl2y2c/XX38tpkyZInx9fcXgwYPFL3/5S9HS0uLio7HffwZRbzvWDz/8UMTExAi1Wi2ioqLExo0bbdqtVqvIysoSWq1WqNVqMWnSJFFRUWHT59///rf46U9/KgYOHCj8/f3FnDlzRENDg0vq5zQgRCQdx4iISDoGERFJxyAiIukYREQkHYOIiKRjEBGRdAwiIpKOQURuRQiBlJQUBAYGQqVSobS0VHZJ5AIMInIrBQUF2LJlC/bs2YNLly4hJiamx0/TS3fHICK38uWXXyIkJATx8fHQ6XT485//jIyMDCxbtgwnTpzAww8/jMTExDbfFKeejV/xILfx7LPPKpN5AcDQoUOh1WoxduxYrF+/HsDNmQ/CwsKwcOFCvPLKK7JKJSfjxGjkNt566y0MGzYMGzduxPHjx6FSqXDvvfciMzNT6dMbpumltvjRjNyGRqOBn58f+vXrB51Oh9bW1l43TS+1j0FERNIxiMht9bZpeqljDCJyW71lml66Ow5Wk1vLyMhAcnIyYmNjMW7cOOTm5qKxsRFz5syRXRo5EYOI3NozzzyDy5cvY+nSpTAajRg1ahQKCgraDGBTz8b7iIhIOo4REZF0DCIiko5BRETSMYiISDoGERFJxyAiIukYREQkHYOIiKRjEBGRdAwiIpKOQURE0jGIiEg6BhERSccgIiLpGEREJB2DiIik4wyNuDkP8sWLF+Hn5weVSiW7HKIeRQiBhoYGhIaGwsPDsXMbBhGAixcvIiwsTHYZRD1adXU1hgwZ4tC2DCIAfn5+AG6+kf7+/pKrIepZzGYzwsLClN8jRzCIAOXjmL+/P4OIyEFdGdbgYDURSccgIiLpGEREJB2DiIikYxARkXQMIiKSjkFERNIxiIhIOt7QSD1CVVUVamtr7dpm8ODBCA8P76aKyJkYROT2qqqqEBUdjevXrtm1nW///jhTXs4w6gEYRORSjpzZlJeX4/q1a4hd8Tr89Pd3apuGyvMoXvIr1NbWMoh6AAYRuYyjZza3qO8NQ0D0CCdXRe6AQUQuU1tba/eZDQAY/3kI5W/n4saNG3b/zPLycru34diS6zGIyOX89PfbdWbTUPml3T+jqfYyoFJh9uzZdm/LsSXXYxCRw+wd73Hk7MRRLQ1mQAjELFmBe6JjOr0dx5bkkBpEn3zyCX73u9+hpKQEly5dwq5duzBjxgylXQiBZcuW4Z133kFdXR0mTJiADRs2IDIyUulz5coVLFy4EB9++CE8PDyQlJSEt956CwMHDpRwRH1HV8Z7mpst3VBR+wYM1XNcqQeQGkSNjY14+OGH8fOf/xxPP/10m/bVq1dj7dq1+MMf/gC9Xo+srCwkJibiiy++gI+PDwBg1qxZuHTpEvbv34+WlhbMmTMHKSkp2L59u6sPp09xZLynK2M91LtJDaIpU6ZgypQp7bYJIZCbm4slS5Zg+vTpAICtW7dCq9Vi9+7dmDlzJsrLy1FQUIDjx48jNjYWALBu3TpMnToVr7/+OkJDQ112LH2VPeM9joz1UN/gtl/xqKyshNFoREJCgrJOo9Fg/PjxKCwsBAAUFhYiICBACSEASEhIgIeHB4qKijrct8VigdlstlmISB63DSKj0QgA0Gq1Nuu1Wq3SZjQaERwcbNPu6emJwMBApU97cnJyoNFolIVP8CCSy22DqDtlZmaivr5eWaqrq2WXRNSnuW0Q6XQ6AIDJZLJZbzKZlDadToeamhqb9hs3buDKlStKn/ao1WrliR18cgeRfG4bRHq9HjqdDgaDQVlnNptRVFSEuLg4AEBcXBzq6upQUlKi9Dlw4ACsVivGjx/v8pqJyDFSr5pdvXoV58+fV15XVlaitLQUgYGBCA8PR3p6OlasWIHIyEjl8n1oaKhyr1F0dDSefPJJzJs3D/n5+WhpaUFaWhpmzpzJK2ZEPYjUICouLsbjjz+uvM7IyAAAJCcnY8uWLXjppZfQ2NiIlJQU1NXVYeLEiSgoKFDuIQKAbdu2IS0tDZMmTVJuaFy7dq3Lj4WIHCc1iB577DEIITpsV6lUyM7ORnZ2dod9AgMDefMiUQ/ntmNERNR3MIiISDoGERFJxyAiIukYREQkHYOIiKRjEBGRdAwiIpKOQURE0jGIiEg6BhERSccgIiLpGEREJB2DiIikYxARkXQMIiKSjkFERNIxiIhIOqlTxZJ7qKqqQm1trV3blJeXd1M11BcxiPq4qqoqREVH4/q1aw5t39xscXJF1BcxiPq42tpaXL92DbErXoef/v5Ob2f85yGUv52LGzdudGN11FcwiAgA4Ke/HwHRIzrdv6Hyy26shvoaBhFRO+wdAxs8eDDCw8O7qZrej0FEdJum2suASoXZs2fbtZ1v//44U17OMHIQg4joNi0NZkAIxCxZgXuiYzq1TUPleRQv+RVqa2sZRA5iEBG1Y8BQvV1jZtQ1vKGRiKRjEBGRdAwiIpKOQURE0jGIiEg6tw6i1tZWZGVlQa/Xw9fXF8OGDcNvf/tbCCGUPkIILF26FCEhIfD19UVCQgLOnTsnsWoispdbB9GqVauwYcMGrF+/HuXl5Vi1ahVWr16NdevWKX1Wr16NtWvXIj8/H0VFRRgwYAASExPR1NQksXIisodb30d05MgRTJ8+HdOmTQMARERE4L333sOxY8cA3Dwbys3NxZIlSzB9+nQAwNatW6HVarF7927MnDlTWu1E1HlufUYUHx8Pg8GAs2fPAgA+//xzfPrpp5gyZQoAoLKyEkajEQkJCco2Go0G48ePR2FhoZSaich+bn1G9Morr8BsNiMqKgr9+vVDa2srXn31VcyaNQsAYDQaAQBardZmO61Wq7S1x2KxwGL5v3l0zGZzN1RPfY0jk8Xxy7I3uXUQvf/++9i2bRu2b9+OESNGoLS0FOnp6QgNDUVycrLD+83JycHy5cudWCn1ZY5+URbgl2VvcesgevHFF/HKK68oYz0PPfQQ/vWvfyEnJwfJycnQ6XQAAJPJhJCQEGU7k8mEUaNGdbjfzMxMZGRkKK/NZjPCwsK65yBczN5pXznla9c58kVZgF+WvZ1bB9G1a9fg4WE7jNWvXz9YrVYAgF6vh06ng8FgUILHbDajqKgI8+fP73C/arUaarW62+qWpSvTvnLK167jF2Ud59ZB9IMf/ACvvvoqwsPDMWLECHz22WdYs2YNfv7znwMAVCoV0tPTsWLFCkRGRkKv1yMrKwuhoaGYMWOG3OIlcGTaV075Su7ArYNo3bp1yMrKwoIFC1BTU4PQ0FA899xzWLp0qdLnpZdeQmNjI1JSUlBXV4eJEyeioKAAPj4+EiuXy55pXznlK7kDtw4iPz8/5ObmIjc3t8M+KpUK2dnZyM7Odl1hRORUbn0fERH1DQwiIpKOQURE0jGIiEg6BhERSccgIiLpGEREJB2DiIikYxARkXQMIiKSjkFERNIxiIhIOgYREUnHICIi6RhERCQdg4iIpGMQEZF0DCIiko5BRETSMYiISDoGERFJxyAiIukYREQkHYOIiKRjEBGRdAwiIpKOQURE0jGIiEg6h4Lovvvuw7///e826+vq6nDfffd1uSgi6lscCqKvv/4ara2tbdZbLBZcuHChy0URUd/iaU/nDz74QPnzvn37oNFolNetra0wGAyIiIhwWnFE1DfYFUQzZswAAKhUKiQnJ9u0eXl5ISIiAm+88YbTiiOivsGuj2ZWqxVWqxXh4eGoqalRXlutVlgsFlRUVOCpp55yaoEXLlzA7NmzERQUBF9fXzz00EMoLi5W2oUQWLp0KUJCQuDr64uEhAScO3fOqTUQUfdyaIyosrISgwcPdnYtbXz77beYMGECvLy88NFHH+GLL77AG2+8gUGDBil9Vq9ejbVr1yI/Px9FRUUYMGAAEhMT0dTU1O31EZFz2PXR7HYGgwEGg0E5M7rdpk2bulwYAKxatQphYWHYvHmzsk6v1yt/FkIgNzcXS5YswfTp0wEAW7duhVarxe7duzFz5kyn1EFE3cuhM6Lly5dj8uTJMBgMqK2txbfffmuzOMsHH3yA2NhY/PjHP0ZwcDBGjx6Nd955R2mvrKyE0WhEQkKCsk6j0WD8+PEoLCzscL8WiwVms9lmISJ5HDojys/Px5YtW/Czn/3M2fXY+Oqrr7BhwwZkZGTgv//7v3H8+HG88MIL8Pb2RnJyMoxGIwBAq9XabKfVapW29uTk5GD58uXdWjsRdZ5DZ0TNzc2Ij493di1tWK1WPPLII3jttdcwevRopKSkYN68ecjPz+/SfjMzM1FfX68s1dXVTqqYiBzhUBD94he/wPbt251dSxshISEYPny4zbro6GhUVVUBAHQ6HQDAZDLZ9DGZTEpbe9RqNfz9/W0WIpLHoY9mTU1N2LhxIz7++GOMHDkSXl5eNu1r1qxxSnETJkxARUWFzbqzZ89i6NChAG4OXOt0OhgMBowaNQoAYDabUVRUhPnz5zulBqLuVl5eblf/wYMHIzw8vJuqkcOhIDp58qTyi19WVmbTplKpulzULYsXL0Z8fDxee+01/OQnP8GxY8ewceNGbNy4UflZ6enpWLFiBSIjI6HX65GVlYXQ0FDl5ksid9VUexlQqTB79my7tvPt3x9nyst7VRg5FEQHDx50dh3tGjt2LHbt2oXMzExkZ2dDr9cjNzcXs2bNUvq89NJLaGxsREpKCurq6jBx4kQUFBTAx8fHJTUSOaqlwQwIgZglK3BPdEyntmmoPI/iJb9CbW0tg8iVnnrqqTvera1SqZCdnY3s7GwXVkXkPAOG6hEQPUJ2GVI5FESPP/74HT+CHThwwOGCiKjvcSiIbo0P3dLS0oLS0lKUlZW1+TIsOaaqqgq1tbV2bWPvoCeRu3AoiN5888121//mN7/B1atXu1QQ3QyhqOhoXL92zaHtm5stTq6IqHs5dYxo9uzZGDduHF5//XVn7rbPqa2txfVr1xC74nX46e/v9HbGfx5C+du5uHHjRjdWR+R8Tg2iwsJCXq1yIj/9/XYNYjZUftmN1RB1H4eC6Omnn7Z5LYTApUuXUFxcjKysLKcURkR9h0NBdPsUsQDg4eGBBx98ENnZ2Zg8ebJTCiOivsOhILp9fiAioq7q0hhRSUmJcsl4xIgRGD16tFOKIqK+xaEgqqmpwcyZM3Ho0CEEBAQAuPlMs8cffxw7duzAPffc48waiaiXc2gakIULF6KhoQGnT5/GlStXcOXKFZSVlcFsNuOFF15wdo1E1Ms5dEZUUFCAjz/+GNHR0cq64cOHIy8vj4PVRGQ3h86IrFZrmzmIgJvPNvvPifSJiO7GoSB64oknsGjRIly8eFFZd+HCBSxevBiTJk1yWnFE1Dc4FETr16+H2WxGREQEhg0bhmHDhkGv18NsNmPdunXOrpGIejmHxojCwsJw4sQJfPzxxzhz5gyAm3NJ3/5YHyKizrIriA4cOIC0tDQcPXoU/v7++P73v4/vf//7AID6+nqMGDEC+fn5+M53vtMtxfZU9k7pwek86G4c+TfiznNd2xVEubm5mDdvXrtPvdBoNHjuueewZs0aBtFtujKlB6fzoP/k6DzXgHvPdW1XEH3++edYtWpVh+2TJ0/mFCD/wZEpPTidB3XEkXmuAfef69quIDKZTO1etld25umJy5cvd7mo3sieKT04nQfdTW+b59quq2b33ntvm8cH3e7kyZMICQnpclFE1LfYFURTp05FVlYWmpqa2rRdv34dy5Ytu+MTN4iI2mPXR7MlS5bgL3/5Cx544AGkpaXhwQcfBACcOXMGeXl5aG1txa9//etuKZSIei+7gkir1eLIkSOYP38+MjMzIYQAcPPZYomJicjLy4NWq+2WQomo97L7hsahQ4di7969+Pbbb3H+/HkIIRAZGYlBgwZ1R31E1Ac4PDHaoEGDMHbsWGfWQkR9lEPfNSMiciYGERFJxyAiIukYREQkHYOIiKTrUUG0cuVKqFQqpKenK+uampqQmpqKoKAgDBw4EElJSTCZTPKKJCK79ZggOn78OH7/+99j5MiRNusXL16MDz/8EDt37sThw4dx8eLFNo/EJiL31iOC6OrVq5g1axbeeecdmxsn6+vr8e6772LNmjV44oknMGbMGGzevBlHjhzB0aNHJVZMRPboEUGUmpqKadOmtZmKtqSkBC0tLTbro6KiEB4ejsLCQleXSUQO6tIjp11hx44dOHHiBI4fP96mzWg0wtvbW3na7C1arRZGo7HDfVosFlgs/zf7odlsdlq9RGQ/tz4jqq6uxqJFi7Bt2zb4+Pg4bb85OTnQaDTKEhYW5rR9E5H93DqISkpKUFNTg0ceeQSenp7w9PTE4cOHsXbtWnh6ekKr1aK5uRl1dXU225lMJuh0ug73m5mZifr6emWprq7u5iMhojtx649mkyZNwqlTp2zWzZkzB1FRUXj55ZcRFhYGLy8vGAwGJCUlAQAqKipQVVWFuLi4DverVquhVqu7tXYi6jy3DiI/Pz/ExNhOED5gwAAEBQUp6+fOnYuMjAwEBgbC398fCxcuRFxcHB599FEZJRORA9w6iDrjzTffhIeHB5KSkmCxWJCYmIi3335bdllEZIceF0SHDh2yee3j44O8vDzk5eXJKYiIusytB6uJqG9gEBGRdAwiIpKOQURE0jGIiEg6BhERSccgIiLpetx9RETkuPLycrv6Dx48GOHh4d1Uzf9hEBH1AU21lwGVCrNnz7ZrO9/+/XGmvLzbw4hBRNQHtDSYASEQs2QF7omOufsGABoqz6N4ya9QW1vLIHInVVVVqK2ttWsbe0+FibrTgKF6BESPkF1GGwyiTqqqqkJUdDSuX7vm0PbNzZa7dyLqoxhEnVRbW4vr164hdsXr8NPf3+ntjP88hPK3c3Hjxo1urI6oZ2MQ2clPf79dp7YNlV92YzVEvQPvIyIi6RhERCQdg4iIpGMQEZF0DCIiko5BRETSMYiISDoGERFJxyAiIukYREQkHYOIiKRjEBGRdAwiIpKOQURE0jGIiEg6BhERSccgIiLpGEREJJ1bB1FOTg7Gjh0LPz8/BAcHY8aMGaioqLDp09TUhNTUVAQFBWHgwIFISkqCyWSSVDEROcKtg+jw4cNITU3F0aNHsX//frS0tGDy5MlobGxU+ixevBgffvghdu7cicOHD+PixYt4+umnJVZNRPZy68nzCwoKbF5v2bIFwcHBKCkpwXe/+13U19fj3Xffxfbt2/HEE08AADZv3ozo6GgcPXoUjz76qIyyichObn1G9J/q6+sBAIGBgQCAkpIStLS0ICEhQekTFRWF8PBwFBYWdrgfi8UCs9lssxCRPD0miKxWK9LT0zFhwgTExNx8ZK7RaIS3tzcCAgJs+mq1WhiNxg73lZOTA41GoyxhYWHdWToR3UWPCaLU1FSUlZVhx44dXd5XZmYm6uvrlaW6utoJFRKRo9x6jOiWtLQ07NmzB5988gmGDBmirNfpdGhubkZdXZ3NWZHJZIJOp+twf2q1Gmq1ujtLJiI7uPUZkRACaWlp2LVrFw4cOAC9Xm/TPmbMGHh5ecFgMCjrKioqUFVVhbi4OFeXS0QOcuszotTUVGzfvh1//etf4efnp4z7aDQa+Pr6QqPRYO7cucjIyEBgYCD8/f2xcOFCxMXF8YoZUQ/i1kG0YcMGAMBjjz1ms37z5s149tlnAQBvvvkmPDw8kJSUBIvFgsTERLz99tsurpSIusKtg0gIcdc+Pj4+yMvLQ15engsqIqLu4NZjRETUNzCIiEg6BhERSccgIiLpGEREJB2DiIikYxARkXQMIiKSjkFERNIxiIhIOgYREUnHICIi6RhERCQdg4iIpGMQEZF0DCIiko5BRETSMYiISDoGERFJxyAiIukYREQkHYOIiKRjEBGRdAwiIpKOQURE0jGIiEg6BhERSccgIiLpGEREJB2DiIikYxARkXS9Jojy8vIQEREBHx8fjB8/HseOHZNdEhF1Uq8Ioj/96U/IyMjAsmXLcOLECTz88MNITExETU2N7NKIqBN6RRCtWbMG8+bNw5w5czB8+HDk5+ejf//+2LRpk+zSiKgTenwQNTc3o6SkBAkJCco6Dw8PJCQkoLCwUGJlRNRZnrIL6Kra2lq0trZCq9XarNdqtThz5ky721gsFlgsFuV1fX09AMBsNnf4c65evQoAqCsvw41r1zpdn/nr8zf/e7Yc3lB12zb8WfxZzt7u6r++uvnfq1fv+Ltxq00I0el62hA93IULFwQAceTIEZv1L774ohg3bly72yxbtkwA4MKFixOX6upqh3+Pe/wZ0eDBg9GvXz+YTCab9SaTCTqdrt1tMjMzkZGRoby2Wq24cuUKgoKCoFK1/38Ls9mMsLAwVFdXw9/f33kHQJ3C91++jv4OhBBoaGhAaGiow/vu8UHk7e2NMWPGwGAwYMaMGQBuBovBYEBaWlq726jVaqjVapt1AQEBnfp5/v7+/EWQiO+/fO39HWg0mi7ts8cHEQBkZGQgOTkZsbGxGDduHHJzc9HY2Ig5c+bILo2IOqFXBNEzzzyDy5cvY+nSpTAajRg1ahQKCgraDGATkXvqFUEEAGlpaR1+FHMGtVqNZcuWtflIR67B91++7vw7UAnRlWtuRERd1+NvaCSino9BRETSMYiISDoGUSdwipHukZOTg7Fjx8LPzw/BwcGYMWMGKioqbPo0NTUhNTUVQUFBGDhwIJKSktrcvFpVVYVp06ahf//+CA4OxosvvogbN2648lB6hZUrV0KlUiE9PV1Z57L33+F7svuIHTt2CG9vb7Fp0yZx+vRpMW/ePBEQECBMJpPs0nq8xMREsXnzZlFWViZKS0vF1KlTRXh4uLh69arS5/nnnxdhYWHCYDCI4uJi8eijj4r4+Hil/caNGyImJkYkJCSIzz77TOzdu1cMHjxYZGZmyjikHuvYsWMiIiJCjBw5UixatEhZ76r3n0F0F+PGjROpqanK69bWVhEaGipycnIkVtU71dTUCADi8OHDQggh6urqhJeXl9i5c6fSp7y8XAAQhYWFQggh9u7dKzw8PITRaFT6bNiwQfj7+wuLxeLaA+ihGhoaRGRkpNi/f7/43ve+pwSRK99/fjS7A04x4lq3ZkEIDAwEAJSUlKClpcXm/Y+KikJ4eLjy/hcWFuKhhx6yuXk1MTERZrMZp0+fdmH1PVdqaiqmTZtm8z4Drn3/e80Njd3BkSlGyDFWqxXp6emYMGECYmJiAABGoxHe3t5tvgeo1WphNBqVPu39/dxqozvbsWMHTpw4gePHj7dpc+X7zyAit5CamoqysjJ8+umnskvpM6qrq7Fo0SLs378fPj4+UmvhR7M7cGSKEbJfWloa9uzZg4MHD2LIkCHKep1Oh+bmZtTV1dn0v/391+l07f793GqjjpWUlKCmpgaPPPIIPD094enpicOHD2Pt2rXw9PSEVqt12fvPILqD26cYueXWFCNxcXESK+sdhBBIS0vDrl27cODAAej1epv2MWPGwMvLy+b9r6ioQFVVlfL+x8XF4dSpUzYPSti/fz/8/f0xfPhw1xxIDzVp0iScOnUKpaWlyhIbG4tZs2Ypf3bZ+++UYfdebMeOHUKtVostW7aIL774QqSkpIiAgACbqwTkmPnz5wuNRiMOHTokLl26pCzXrl1T+jz//PMiPDxcHDhwQBQXF4u4uDgRFxentN+6fDx58mRRWloqCgoKxD333MPL9w66/aqZEK57/xlEnbBu3ToRHh4uvL29xbhx48TRo0dll9QroIMpRzdv3qz0uX79uliwYIEYNGiQ6N+/v/jRj34kLl26ZLOfr7/+WkyZMkX4+vqKwYMHi1/+8peipaXFxUfTO/xnELnq/ee374lIOo4REZF0DCIiko5BRETSMYiISDoGERFJxyAiIukYREQkHYOIiKRjEFGXCSGQkpKCwMBAqFQqlJaWyi6pQxEREcjNzZVdBv0HBhF1WUFBAbZs2YI9e/bg0qVLiImJ4TzfZBcGEXXZl19+iZCQEMTHx0On0+HPf/4zMjIysGzZMpw4cQIPP/wwEhMTbb6hbY+WlhYnV0zuhkFEXfLss89i4cKFqKqqgkqlQkREBNasWYN58+Zhzpw5GD58OPLz89G/f39s2rSpU/tUqVTYsGEDfvjDH2LAgAF49dVX0drairlz50Kv18PX1xcPPvgg3nrrrTa1zJgxA6+//jpCQkIQFBSE1NTUOwbZ//zP/yAgIMBmqgtyPc7QSF3y1ltvYdiwYdi4cSOOHz8OlUqFe++9F5mZmUofR+b5/s1vfoOVK1ciNzcXnp6esFqtGDJkCHbu3ImgoCAcOXIEKSkpCAkJwU9+8hNlu4MHDyIkJAQHDx7E+fPn8cwzz2DUqFGYN29em5+xevVqrF69Gn//+98xbty4rr0R1CUMIuoSjUYDPz8/9OvXDzqdDhcvXnTKPN//9V//hTlz5tisW758ufJnvV6PwsJCvP/++zZBNGjQIKxfvx79+vVDVFQUpk2bBoPB0CaIXn75Zfzxj3/E4cOHMWLECHsOmboBg4jcUmxsbJt1eXl52LRpE6qqqnD9+nU0Nzdj1KhRNn1GjBiBfv36Ka9DQkJw6tQpmz5vvPEGGhsbUVxcjPvuu69b6if7cIyInMpZ83wPGDDA5vWOHTvwq1/9CnPnzsXf//53lJaWYs6cOWhubrbp5+XlZfNapVLBarXarPvOd76D1tZWvP/++52uh7oXg4icqrvm+f7nP/+J+Ph4LFiwAKNHj8b999+PL7/80qF9jRs3Dh999BFee+01vP766w7XRM7Dj2bkdBkZGUhOTkZsbCzGjRuH3NxcNDY2thnzsUdkZCS2bt2Kffv2Qa/X449//COOHz/eZsL9zoqPj8fevXsxZcoUeHp62jzvnVyPQURO98wzz+Dy5ctYunQpjEYjRo0ahYKCgjYD2PZ47rnn8Nlnn+GZZ56BSqXCT3/6UyxYsAAfffSRw/ucOHEi/va3v2Hq1Kno168fFi5c6PC+qGs4ZzURSccxIiKSjkFELrVt2zYMHDiw3YX38/Rd/GhGLtXQ0NDm0v4tXl5eGDp0qIsrInfAICIi6fjRjIikYxARkXQMIiKSjkFERNIxiIhIOgYREUnHICIi6RhERCTd/wMx6d+ziFNLqQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 300x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat, plot = distr_f(hard_kp, title=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "0fa47119",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat, plot = distr_v(hard_kp, title=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "ea310ef0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat, plot = distr_Par(hard_kp, title=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7ed41244",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat, plot = distr_Deb(hard_kp, title=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}