{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f7f69aeb",
   "metadata": {},
   "source": [
    "# Objective Distribution (`distr_F`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1d10ae41",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "\n",
    "from pyxla import load_data, distr_f\n",
    "from pyxla.sampling import HilbertCurveSampler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "383c5f13",
   "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"
     ]
    }
   ],
   "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",
    "easom_sample = {\n",
    "    \"name\": \"Easom\",\n",
    "    \"X\": HilbertCurveSampler(sample_size=100, dim=2, l_bound=-5, u_bound=5, seed=42),\n",
    "    \"F\": lambda X: np.cos(X[0]) * X[1] * np.e**(- (X[0] - np.pi)**2 - (X[1] - np.pi)**2)\n",
    "}\n",
    "\n",
    "load_data(sphere_sample) # loaded in-place\n",
    "load_data(easom_sample) # loaded in-place"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "be92a33c",
   "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': 100,\n",
       "  'f0_rank_mean': 50.49,\n",
       "  'f0_rank_med': 50.5,\n",
       "  'f0_rank_q1': 25.25,\n",
       "  'f0_rank_q3': 75.75,\n",
       "  'f0_rank_sd': 29.028545686039195,\n",
       "  'f0_rank_skew': -0.0019508370352342417,\n",
       "  'f0_rank_kurt': -1.197706288002058},\n",
       " <Figure size 300x600 with 2 Axes>)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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v0Ol0BluV99OOr68vdDodLl68aHBCJCcnB/n5+UbTTEtLgxDCYPn88ccfAFDlr5UqDjM4Ozvrt9Aq07JlSzg7O+PMmTPV1lzbz83o0aMxY8YM/e73H3/8gaioKKMai4qKqq2vOo6OjhgxYgS2bt2KFStWYPPmzXjkkUfg5eWlH2fPnj3QarXYvXu3wZbU3WeEK1OxpXX3Z/fuLf6aLusKnp6emDlzJmbOnInc3Fw89NBDePvtt/VB+d1332HYsGGS06mwbds2tGnTBtu3bzdYT/d7Pa9CocDXX3+NUaNG4amnnsK+ffsqvfKlT58+6NOnD95++21s3LgREydOxKZNmzB16tQatVNnu94JCQl48803oVarMXHixCrHq2zroOIvXMXmsKOjIwDjlX+vvvjiC4Pjptu2bcPVq1f1Kx24/UE6efIkSktL9f327t1rdBlRbWobNmwYysvLDS41AYAPPvgACoXCoP37MWzYMGRnZxscb7t16xY++ugjNG3aFP3797+naQIwOqu7YsUKADDa5crKyjI4E67RaPDFF1+ga9eu8PDwqLSN7t27o23btli+fLn+Uo47Xbt2DcDtP6yjR4/Gnj17kJycbDRexVZGbT83Li4uCAkJwZYtW7Bp0ybY2dlh9OjRBuM8/fTTOHHiBPbv32/0/vz8fNy6dUuynXHjxiErKwufffYZfvnlF6Pd7oqtpzu3lgoKCrBu3TrJaVcE4J3HSsvLy7FmzRqD8Wq6rMvLy412hd3c3ODl5aX/fubk5OD06dOV7nZXpbJ5PHXqlP6QxP2ws7PD9u3b0bNnT4wcOdLgV0L//POP0Vbo3XlTE/e0Rblv3z6cP38et27dQk5ODhISEnDw4EH4+vpi9+7d1V5UvGTJEhw9ehTDhw+Hr68vcnNz8cknn6B169Z4+OGHAdxe+S4uLli9ejWcnJzg6OiI3r17V3nsQ4qrqysefvhhhIeHIycnBzExMWjXrp3BJUxTp07Ftm3b8Nhjj+Hpp5/GpUuX8NVXXxmcXKltbSNHjsTAgQPxn//8B3/99Re6dOmCAwcOYNeuXZg9e7bRtO/V9OnT8d///heTJ09GSkoK/Pz8sG3bNvz444+IiYmp9phxVbp06YKwsDCsWbMG+fn56N+/P3766Sds2LABo0ePxsCBAw3Gf+CBBzBlyhQkJSXB3d0da9euRU5OTrVfdisrK3z22WcIDQ1FQEAAwsPD0apVK1y5cgWJiYlwdnbGnj17ANz+6eWBAwfQv39/TJ8+HZ06dcLVq1exdetWHDt2DC4uLujatSusra3x3nvvoaCgAEqlUn9tYlXGjRuHSZMm4ZNPPkFISIj+4H+FefPmYffu3RgxYgQmT56M7t27o7i4GL/99hu2bduGv/76y2BXvTLDhg2Dk5MTXnnlFVhbW2Ps2LEGw4cOHQo7OzuMHDkSM2bMQFFRET799FO4ubnh6tWr1U47ICAAffr0QVRUFK5fvw5XV1ds2rTJKMBruqwLCwvRunVrPPnkk+jSpQuaNm2KQ4cOISkpCe+//z6A27vd9vb2Rp+B6owYMQLbt2/HE088geHDhyM9PR2rV6+Gv79/pcFdWw4ODti7dy8GDRqE0NBQHDlyBIGBgdiwYQM++eQTPPHEE2jbti0KCwvx6aefwtnZuVZbxPd0eVDFy87OTnh4eIghQ4aIDz/80OAylAp3Xx4UHx8vRo0aJby8vISdnZ3w8vISEyZMMLr8YteuXcLf31/Y2NgYXI7Tv39/ERAQUGl9VV0e9M0334ioqCjh5uYmHBwcxPDhww0uzajw/vvvi1atWgmlUin69esnkpOTjaZZXW13Xx4khBCFhYVizpw5wsvLS9ja2or27duLZcuWGVyiIcTty4MquySjqsuW7paTkyPCw8NFixYthJ2dnXjwwQcrvYSpppcHCSFEWVmZWLx4sVCr1cLW1lZ4e3uLqKgog8sv7pzm/v37RefOnYVSqRQdO3YUW7duNRjv7ktWKvz8889izJgxonnz5kKpVApfX1/x9NNPi/j4eIPxLl++LJ599lnRsmVLoVQqRZs2bURERITBZSeffvqpaNOmjbC2tjZoq7L1KIQQGo1GODg4GF1edafCwkIRFRUl2rVrJ+zs7ESLFi1E3759xfLly0VpaWmNluXEiRMFABEcHFzp8N27d4vOnTsLe3t74efnJ9577z2xdu1ao0t/KpuPS5cuieDgYKFUKoW7u7t4/fXXxcGDB+9pWWu1WjFv3jzRpUsX4eTkJBwdHUWXLl3EJ598op/Gk08+KYYNG2Y0DxWX9ixbtsxomE6nE++8847w9fUVSqVSdOvWTezdu9foO1PdNACIhQsX6rvvvDyoQl5envD39xceHh7i4sWL4vTp02LChAnCx8dHKJVK4ebmJkaMGCGSk5ONpl8dxf8vgKjexcfHIzg4GD/88IN+74Eal1u3bqF58+aIjo7GzJkz5S6nwfB+lNRgKnYjpXZVyXRdv34dc+bMMbhm1hJwi5LqXXFxMb7++mt8+OGH0Gg0+ms0iRoLflqp3l27dg2zZs2Cg4MDvv32W4YkNTrcoiQiksA/7UREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEu7pcbWWTKfTISsrC05OTgYPciei+iGEQGFhIby8vGS7Oz6DspaysrLg7e0tdxlEFiczMxOtW7eWpW0GZS05OTkBuL3SnJ2dZa6GyPxpNBp4e3vrv3tyYFDWUsXutrOzM4OSqAHJeaiLJ3OIiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgk8PKgepSRkYG8vLx6baNFixbw8fGp1zaILB2Dsp5kZGSgY6dOuHnjRr2249CkCc6fO8ewJKpHDMp6kpeXh5s3bqDHW8vhpG5XL20Upqch+Y1XkJeXx6AkqkcMynrmpG4Hl04BcpdBRPeBJ3OIiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJJhVUK5atQqdO3eGs7MznJ2dERQUhH379umHl5SUICIiAs2bN0fTpk0xduxY5OTkyFgxETUGZhWUrVu3xrvvvouUlBQkJydj0KBBGDVqFH7//XcAwJw5c7Bnzx5s3boVR44cQVZWFsaMGSNz1URk6mzkLqAujRw50qD77bffxqpVq3Dy5Em0bt0an3/+OTZu3IhBgwYBANatW4dOnTrh5MmT6NOnjxwlE1EjYFZblHcqLy/Hpk2bUFxcjKCgIKSkpKCsrAzBwcH6cTp27AgfHx+cOHFCxkqJyNSZ1RYlAPz2228ICgpCSUkJmjZtih07dsDf3x+pqamws7ODi4uLwfju7u7Izs6ucnparRZarVbfrdFo6qt0IjJRZrdF2aFDB6SmpuLUqVN44YUXEBYWhrNnz97z9KKjo6FSqfQvb2/vOqyWiBoDswtKOzs7tGvXDt27d0d0dDS6dOmCDz/8EB4eHigtLUV+fr7B+Dk5OfDw8KhyelFRUSgoKNC/MjMz63kOiMjUmF1Q3k2n00Gr1aJ79+6wtbVFfHy8ftiFCxeQkZGBoKCgKt+vVCr1lxtVvIjIspjVMcqoqCiEhobCx8cHhYWF2LhxIw4fPoz9+/dDpVJhypQpmDt3LlxdXeHs7IxZs2YhKCiIZ7yJqFpmFZS5ubl49tlncfXqVahUKnTu3Bn79+/HkCFDAAAffPABrKysMHbsWGi1WoSEhOCTTz6RuWoiMnVmFZSff/55tcPt7e0RGxuL2NjYBqqIiMyB2R+jJCK6XwxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCSYRlG3atMHff/9t1D8/Px9t2rSRoSIiov8xiaD866+/UF5ebtRfq9XiypUrMlRERPQ/NnI2vnv3bv3/9+/fD5VKpe8uLy9HfHw8/Pz8ZKiMiOh/ZA3K0aNHAwAUCgXCwsIMhtna2sLPzw/vv/++DJUREf2PrEGp0+kAAGq1GklJSWjRooWc5RARVUrWoKyQnp4udwlERFUyiaAEgPj4eMTHxyM3N1e/pVlh7dq1MlVFRGQiQbl48WIsWbIEPXr0gKenJxQKhdwlERHpmURQrl69GuvXr8czzzwjdylEREZM4jrK0tJS9O3bV+4yiIgqZRJBOXXqVGzcuFHuMoiIKmUSu94lJSVYs2YNDh06hM6dO8PW1tZg+IoVK2o0nejoaGzfvh3nz5+Hg4MD+vbti/feew8dOnQwaOvll1/Gpk2boNVqERISgk8++QTu7u51Ok9EZD5MIih//fVXdO3aFQBw5swZg2G1ObFz5MgRREREoGfPnrh16xZef/11DB06FGfPnoWjoyMAYM6cOfjuu++wdetWqFQqREZGYsyYMfjxxx/rbH6IyLyYRFAmJibWyXTi4uIMutevXw83NzekpKTg0UcfRUFBAT7//HNs3LgRgwYNAgCsW7cOnTp1wsmTJ9GnT586qYOIzItJHKOsLwUFBQAAV1dXAEBKSgrKysoQHBysH6djx47w8fHBiRMnZKmRiEyfSWxRDhw4sNpd7ISEhFpPU6fTYfbs2ejXrx8CAwMBANnZ2bCzs4OLi4vBuO7u7sjOzq50OlqtFlqtVt+t0WhqXQsRNW4mEZQVxycrlJWVITU1FWfOnDG6WUZNRURE4MyZMzh27Nh91RYdHY3Fixff1zSIqHEziaD84IMPKu2/aNEiFBUV1Xp6kZGR2Lt3L44ePYrWrVvr+3t4eKC0tBT5+fkGW5U5OTnw8PCodFpRUVGYO3euvluj0cDb27vWNRFR42XSxygnTZpUq995CyEQGRmJHTt2ICEhAWq12mB49+7dYWtri/j4eH2/CxcuICMjA0FBQZVOU6lUwtnZ2eBFRJbFJLYoq3LixAnY29vXePyIiAhs3LgRu3btgpOTk/64o0qlgoODA1QqFaZMmYK5c+fC1dUVzs7OmDVrFoKCgnjGm4iqZBJBOWbMGINuIQSuXr2K5ORkzJ8/v8bTWbVqFQBgwIABBv3XrVuHyZMnA7i9m29lZYWxY8caXHBORFQVkwjKOx8BAQBWVlbo0KEDlixZgqFDh9Z4OkIIyXHs7e0RGxuL2NjYWtdJRJbJJIJy3bp1cpdARFQlkwjKCikpKTh37hwAICAgAN26dZO5IiIiEwnK3NxcjB8/HocPH9ZftpOfn4+BAwdi06ZNaNmypbwFEpFFM4nLg2bNmoXCwkL8/vvvuH79Oq5fv44zZ85Ao9HgxRdflLs8IrJwJrFFGRcXh0OHDqFTp076fv7+/oiNja3VyRwiovpgEluUOp3O6B6UwO1ne9/9oDEiooZmEkE5aNAgvPTSS8jKytL3u3LlCubMmYPBgwfLWBkRkYkE5ccffwyNRgM/Pz+0bdsWbdu2hVqthkajwUcffSR3eURk4UziGKW3tzdOnz6NQ4cO4fz58wCATp06Gdw3kohILrJuUSYkJMDf3x8ajQYKhQJDhgzBrFmzMGvWLPTs2RMBAQH44Ycf5CyRiEjeoIyJicG0adMqvSOPSqXCjBkzavxgMSKi+iJrUP7yyy947LHHqhw+dOhQpKSkNGBFRETGZA3KnJycSi8LqmBjY4Nr1641YEVERMZkDcpWrVoZPZ72Tr/++is8PT0bsCIiImOyBuWwYcMwf/58lJSUGA27efMmFi5ciBEjRshQGRHR/8h6edAbb7yB7du344EHHkBkZCQ6dOgAADh//jxiY2NRXl6O//znP3KWSEQkb1C6u7vj+PHjeOGFFxAVFaW/8a5CoUBISAhiY2Ph7u4uZ4lERPJfcO7r64vvv/8e//zzD9LS0iCEQPv27dGsWTO5SyMiAmACQVmhWbNm6Nmzp9xlEBEZMYnfehMRmTIGJRGRBJPZ9aZ7V/GcofrSokUL+Pj41GsbRKaMQdmIleRdAxQKTJo0qV7bcWjSBOfPnWNYksViUDZiZYUaQAgEvvEWWnYKrJc2CtPTkPzGK8jLy2NQksViUJoBR181XDoFyF0GkdniyRwiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJfBQEmYSMjAzk5eXVaxt8miTdKwYlyS4jIwMdO3XCzRs36rUdPk2S7pVZBeXRo0exbNkypKSk4OrVq9ixYwdGjx6tHy6EwMKFC/Hpp58iPz8f/fr1w6pVq9C+fXv5iibk5eXh5o0b6PHWcjip29VLG3yaJN0PswrK4uJidOnSBc899xzGjBljNHzp0qVYuXIlNmzYALVajfnz5yMkJARnz56Fvb29DBXTnZzU7fg0STJJZhWUoaGhCA0NrXSYEAIxMTF44403MGrUKADAF198AXd3d+zcuRPjx49vyFKJqBGxmLPe6enpyM7ORnBwsL6fSqVC7969ceLECRkrIyJTZ1ZblNXJzs4GALi7uxv0d3d31w+rjFarhVar1XdrNJr6KZCITJbFbFHeq+joaKhUKv3L29tb7pKIqIFZTFB6eHgAAHJycgz65+Tk6IdVJioqCgUFBfpXZmZmvdZJRKbHYoJSrVbDw8MD8fHx+n4ajQanTp1CUFBQle9TKpVwdnY2eBGRZTGrY5RFRUVIS0vTd6enpyM1NRWurq7w8fHB7Nmz8dZbb6F9+/b6y4O8vLwMrrUkIrqbWQVlcnIyBg4cqO+eO3cuACAsLAzr16/Hv//9bxQXF2P69OnIz8/Hww8/jLi4OF5DaUHOnTtXr9PnzyTNk1kF5YABAyCEqHK4QqHAkiVLsGTJkgasikxBSd41QKHApEmT6rUd/kzSPJlVUBJVpaxQAwiBwDfeQstOgfXSBn8mab4YlGRRHH3V/Jkk1ZrFnPUmIrpXDEoiIgnc9aYaqc+zxfV9JprofjEoqVoNdbYYAEpLtdIjEcmAQUnVaoizxdk/Hsa5T2Jw69atepk+0f1iUFKN1OfZ4sL0S/UyXaK6wpM5REQSuEVJ1Mg0xBMrtVotlEplvbYBNJ6ffDIoiRqRhnpiJRRWgNDVbxtoPD/5ZFASNSIN8cTKipNr9XkCD2hcP/lkUBI1QvX5xMqKk2v8uef/8GQOEZEEBiURkQTuehPVMf7c0/wwKInqCH/uab4YlER1hD/3NF8MSqI6xp97mh+ezCEiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSYJFBGRsbCz8/P9jb26N379746aef5C6JiEyYxQXl5s2bMXfuXCxcuBCnT59Gly5dEBISgtzcXLlLIyITZXFBuWLFCkybNg3h4eHw9/fH6tWr0aRJE6xdu1bu0ojIRFlUUJaWliIlJQXBwcH6flZWVggODsaJEydkrIyITJmN3AU0pLy8PJSXl8Pd3d2gv7u7O86fP1/pe7RaLbRarb67oKAAAKDRaKptq6ioCACQf+4Mbt24cT9lV0nzV9rtf/84Bzso2AbbaDRtAEDR5T9v/1tUVO33qWKYEKLeapEkLMiVK1cEAHH8+HGD/vPmzRO9evWq9D0LFy4UAPjiiy+ZX5mZmQ0RE5WyqC3KFi1awNraGjk5OQb9c3Jy4OHhUel7oqKiMHfuXH23TqfD9evX0bx5cygUVf+11Wg08Pb2RmZmJpydnetmBiwIl9/9MaflJ4RAYWEhvLy8ZKvBooLSzs4O3bt3R3x8PEaPHg3gdvDFx8cjMjKy0vcolUoolUqDfi4uLjVu09nZudF/UOXE5Xd/zGX5qVQqWdu3qKAEgLlz5yIsLAw9evRAr169EBMTg+LiYoSHh8tdGhGZKIsLynHjxuHatWtYsGABsrOz0bVrV8TFxRmd4CEiqmBxQQkAkZGRVe5q1xWlUomFCxca7bZTzXD53R8uv7qlEELOc+5ERKbPoi44JyK6FwxKIiIJDEoiIgkMynrCW7nVzNGjRzFy5Eh4eXlBoVBg586dBsOFEFiwYAE8PT3h4OCA4OBgXLx4UZ5iTVB0dDR69uwJJycnuLm5YfTo0bhw4YLBOCUlJYiIiEDz5s3RtGlTjB071uhHF1Q9BmU94K3caq64uBhdunRBbGxspcOXLl2KlStXYvXq1Th16hQcHR0REhKCkpKSBq7UNB05cgQRERE4efIkDh48iLKyMgwdOhTFxcX6cebMmYM9e/Zg69atOHLkCLKysjBmzBgZq26EZPvxpBnr1auXiIiI0HeXl5cLLy8vER0dLWNVpg+A2LFjh75bp9MJDw8PsWzZMn2//Px8oVQqxTfffCNDhaYvNzdXABBHjhwRQtxeXra2tmLr1q36cc6dOycAiBMnTshVZqPDLco6xlu51Z309HRkZ2cbLEuVSoXevXtzWVah4u5Wrq6uAICUlBSUlZUZLMOOHTvCx8eHy7AWGJR1rLpbuWVnZ8tUVeNUsby4LGtGp9Nh9uzZ6NevHwIDAwHcXoZ2dnZG9yfgMqwdi/xlDpE5ioiIwJkzZ3Ds2DG5SzE73KKsY/dyKzeqXMXy4rKUFhkZib179yIxMRGtW7fW9/fw8EBpaSny8/MNxucyrB0GZR2781ZuFSpu5RYUFCRjZY2PWq2Gh4eHwbLUaDQ4deoUl+X/J4RAZGQkduzYgYSEBKjVaoPh3bt3h62trcEyvHDhAjIyMrgMa4G73vWAt3KruaKiIqSlpem709PTkZqaCldXV/j4+GD27Nl466230L59e6jVasyfPx9eXl76+4lauoiICGzcuBG7du2Ck5OT/rijSqWCg4MDVCoVpkyZgrlz58LV1RXOzs6YNWsWgoKC0KdPH5mrb0TkPu1urj766CPh4+Mj7OzsRK9evcTJkyflLskkJSYmVnrb/7CwMCHE7UuE5s+fL9zd3YVSqRSDBw8WFy5ckLdoE1LZsgMg1q1bpx/n5s2bYubMmaJZs2aiSZMm4oknnhBXr16Vr+hGiHcPIiKSwGOUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlGSWhBCYPn06XF1doVAokJqaKndJ1IgxKMksxcXFYf369di7dy+uXr2KwMBAPseI7hmDkszSpUuX4Onpib59+8LDwwPffvstn2NE94y/9SazM3nyZGzYsEHf7evrC3d3d/Ts2RMff/wxgNu3vvP29sasWbPw2muvyVUqNRK8zRqZnQ8//BBt27bFmjVrkJSUBIVCgVatWiEqKko/Dp9jRLXBXW8yOyqVCk5OTrC2toaHhwfKy8v5HCO6LwxKIiIJDEoye3yOEd0vBiWZPT7HiO4XT+aQReBzjOh+MCjJIowbNw7Xrl3DggULkJ2dja5duyIuLs7oBA9RZXgdJRGRBB6jJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwKAkIpLAoCQiksCgJCKSwDuc15JOp0NWVhacnJygUCjkLofI7AkhUFhYCC8vL1hZybNtx6CspaysLHh7e8tdBpHFyczMROvWrWVpm0FZS05OTgBurzRnZ2eZqyEyfxqNBt7e3vrvnhwYlLVUsbvt7OzMoCRqQHIe6uLJHCIiCQxKIiIJDEoiIgkMSiIiCQxKIiIJDEoiIgm8PKgeZWRkIC8vr17baNGiBXx8fOq1DXOZj4ZgLsuqIeYDaDzrnUFZTzIyMtCxUyfcvHGjXttxaNIE58+dq7cPm7nMR0Mwl2XVUPMBNJ71zqCsJ3l5ebh54wZ6vLUcTup29dJGYXoakt94BXl5efX2QTOX+WgI5rKsGmI+gMa13hmU9cxJ3Q4unQLkLuO+mct8NARzWVbmMh91gSdziIgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJJhVUB49ehQjR46El5cXFAoFdu7cqR9WVlaGV199FQ8++CAcHR3h5eWFZ599FllZWfIVTESNglkFZXFxMbp06YLY2FijYTdu3MDp06cxf/58nD59Gtu3b8eFCxfw+OOPy1ApETUmZvVb79DQUISGhlY6TKVS4eDBgwb9Pv74Y/Tq1QsZGRkm/6N8IpKPWQVlbRUUFEChUMDFxaXKcbRaLbRarb5bo9E0QGW1c+7cuUY57YZuS6vVQqlU1tv0zWVZNeR8NBYWG5QlJSV49dVXMWHChGqfzx0dHY3Fixc3YGU1V5J3DVAoMGnSpHpvq7RUKz3SPWqw+VBYAUJXv23ATJYV6nc+GhuLDMqysjI8/fTTEEJg1apV1Y4bFRWFuXPn6rs1Gg28vb3ru8QaKSvUAEIg8I230LJTYL20kf3jYZz7JAa3bt2ql+kDDTsfXFbSGmI+GhuLC8qKkLx8+TISEhKq3ZoEAKVSWa+7a3XB0Vddb/cNLEy/VC/TrUxDzAeXlbSGnI/GwqKCsiIkL168iMTERDRv3lzukoioETCroCwqKkJaWpq+Oz09HampqXB1dYWnpyeefPJJnD59Gnv37kV5eTmys7MBAK6urrCzs5OrbCIycWYVlMnJyRg4cKC+u+LYYlhYGBYtWoTdu3cDALp27WrwvsTERAwYMKChyiSiRsasgnLAgAEQQlQ5vLphRERVMatf5hAR1QcGJRGRBAYlEZEEBiURkQQGJRGRBAYlEZEEBiURkQQGJRGRBAYlEZEEBiURkQQGJRGRBAYlEZEEBiURkQQGJRGRBAYlEZEEBiURkQQGJRGRBAYlEZEEBiURkQQGJRGRBAYlEZEEswrKo0ePYuTIkfDy8oJCocDOnTsNhgshsGDBAnh6esLBwQHBwcG4ePGiPMUSUaNhVkFZXFyMLl26IDY2ttLhS5cuxcqVK7F69WqcOnUKjo6OCAkJQUlJSQNXSkSNiVk91zs0NBShoaGVDhNCICYmBm+88QZGjRoFAPjiiy/g7u6OnTt3Yvz48Q1ZKhE1Ima1RVmd9PR0ZGdnIzg4WN9PpVKhd+/eOHHiRJXv02q10Gg0Bi8isiwWE5TZ2dkAAHd3d4P+7u7u+mGViY6Ohkql0r+8vb3rtU4iMj0WE5T3KioqCgUFBfpXZmam3CURUQOzmKD08PAAAOTk5Bj0z8nJ0Q+rjFKphLOzs8GLiCyLxQSlWq2Gh4cH4uPj9f00Gg1OnTqFoKAgGSsjIlNnVme9i4qKkJaWpu9OT09HamoqXF1d4ePjg9mzZ+Ott95C+/btoVarMX/+fHh5eWH06NHyFU1EJs+sgjI5ORkDBw7Ud8+dOxcAEBYWhvXr1+Pf//43iouLMX36dOTn5+Phhx9GXFwc7O3t5SqZiBoBswrKAQMGQAhR5XCFQoElS5ZgyZIlDVgVETV2FnOMkojoXjEoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCRYVFCWl5dj/vz5UKvVcHBwQNu2bfHmm29W++RGIiKzelytlPfeew+rVq3Chg0bEBAQgOTkZISHh0OlUuHFF1+UuzwiMlEWFZTHjx/HqFGjMHz4cACAn58fvvnmG/z0008yV0ZEpsyidr379u2L+Ph4/PHHHwCAX375BceOHUNoaGiV79FqtdBoNAYvIrIsJhGUbdq0wd9//23UPz8/H23atKmzdl577TWMHz8eHTt2hK2tLbp164bZs2dj4sSJVb4nOjoaKpVK//L29q6zeoiocTCJoPzrr79QXl5u1F+r1eLKlSt11s6WLVvw9ddfY+PGjTh9+jQ2bNiA5cuXY8OGDVW+JyoqCgUFBfpXZmZmndVDRI2DrMcod+/erf///v37oVKp9N3l5eWIj4+Hn59fnbU3b948/VYlADz44IO4fPkyoqOjERYWVul7lEollEplndVARI2PrEE5evRoAIBCoTAKKltbW/j5+eH999+vs/Zu3LgBKyvDjWhra2vodLo6a4OIzI+sQVkRUGq1GklJSWjRokW9tjdy5Ei8/fbb8PHxQUBAAH7++WesWLECzz33XL22S0SNm0lcHpSent4g7Xz00UeYP38+Zs6cidzcXHh5eWHGjBlYsGBBg7RPRI2TSQQlAMTHxyM+Ph65ublGu8Jr166tkzacnJwQExODmJiYOpkeEVkGkwjKxYsXY8mSJejRowc8PT2hUCjkLomISM8kgnL16tVYv349nnnmGblLISIyYhLXUZaWlqJv375yl0FEVCmTCMqpU6di48aNcpdBRFQpk9j1LikpwZo1a3Do0CF07twZtra2BsNXrFghU2VERCYSlL/++iu6du0KADhz5ozBMJ7YISK5mURQJiYmyl0CEVGVTOIYJRGRKTOJLcqBAwdWu4udkJDQgNUQERkyiaCsOD5ZoaysDKmpqThz5kyVd/UhImooJhGUH3zwQaX9Fy1ahKKiogauhojIkEkfo5w0aVKd/c6biOhemXRQnjhxAvb29nKXQUQWziR2vceMGWPQLYTA1atXkZycjPnz58tUFRHRbSYRlHc+AgIArKys0KFDByxZsgRDhw6VqSoiottMIijXrVsndwlERFUyiaCskJKSgnPnzgEAAgIC0K1bN5krIiIykaDMzc3F+PHjcfjwYbi4uAC4/UzvgQMHYtOmTWjZsqW8BRKRRTOJs96zZs1CYWEhfv/9d1y/fh3Xr1/HmTNnoNFo8OKLL8pdHhFZOJPYooyLi8OhQ4fQqVMnfT9/f3/ExsbyZA4Ryc4ktih1Op3RPSiB28/2rutnbl+5cgWTJk1C8+bN4eDggAcffBDJycl12gYRmReTCMpBgwbhpZdeQlZWlr7flStXMGfOHAwePLjO2vnnn3/Qr18/2NraYt++fTh79izef/99NGvWrM7aICLzYxK73h9//DEef/xx+Pn5wdvbGwCQmZmJwMBAfPXVV3XWznvvvQdvb2+Dy5HUanWdTZ+IzJNJBKW3tzdOnz6NQ4cO4fz58wCATp06ITg4uE7b2b17N0JCQvDUU0/hyJEjaNWqFWbOnIlp06bVaTtEZF5k3fVOSEiAv78/NBoNFAoFhgwZglmzZmHWrFno2bMnAgIC8MMPP9RZe3/++SdWrVqF9u3bY//+/XjhhRfw4osvYsOGDVW+R6vVQqPRGLyIyLLIGpQxMTGYNm0anJ2djYapVCrMmDGjTh8sptPp8NBDD+Gdd95Bt27dMH36dEybNg2rV6+u8j3R0dFQqVT6V8WhASKyHLIG5S+//ILHHnusyuFDhw5FSkpKnbXn6ekJf39/g36dOnVCRkZGle+JiopCQUGB/pWZmVln9RBR4yDrMcqcnJxKLwuqYGNjg2vXrtVZe/369cOFCxcM+v3xxx/w9fWt8j1KpRJKpbLOaiCixkfWLcpWrVoZPZ72Tr/++is8PT3rrL05c+bg5MmTeOedd5CWloaNGzdizZo1iIiIqLM2iMj8yBqUw4YNw/z581FSUmI07ObNm1i4cCFGjBhRZ+317NkTO3bswDfffIPAwEC8+eabiImJwcSJE+usDSIyP7Luer/xxhvYvn07HnjgAURGRqJDhw4AgPPnzyM2Nhbl5eX4z3/+U6dtjhgxok7Dl4jMn6xB6e7ujuPHj+OFF15AVFQUhBAAAIVCgZCQEMTGxsLd3V3OEomI5L/g3NfXF99//z3++ecfpKWlQQiB9u3b82eFRGQyZA/KCs2aNUPPnj3lLoOIyIhJ3BSDiMiUMSiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJFh0UL777rtQKBSYPXu23KUQkQmz2KBMSkrCf//7X3Tu3FnuUojIxFlkUBYVFWHixIn49NNP+bRHIpJkkUEZERGB4cOHIzg4WO5SiKgRMJnH1TaUTZs24fTp00hKSqrR+FqtFlqtVt+t0WjqqzQiMlEWtUWZmZmJl156CV9//TXs7e1r9J7o6GioVCr9y9vbu56rJCJTY1FBmZKSgtzcXDz00EOwsbGBjY0Njhw5gpUrV8LGxgbl5eVG74mKikJBQYH+lZmZKUPlRCQni9r1Hjx4MH777TeDfuHh4ejYsSNeffVVWFtbG71HqVRCqVQ2VIlEZIIsKiidnJwQGBho0M/R0RHNmzc36k9EVMGidr2JiO6FRW1RVubw4cNyl0BEJo5blEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIYlEREEhiUREQSGJRERBIsLiijo6PRs2dPODk5wc3NDaNHj8aFCxfkLouITJjFBeWRI0cQERGBkydP4uDBgygrK8PQoUNRXFwsd2lEZKIs7rnecXFxBt3r16+Hm5sbUlJS8Oijj8pUFRGZMovborxbQUEBAMDV1VXmSojIVFncFuWddDodZs+ejX79+iEwMLDScbRaLbRarb5bo9E0VHlEZCIseosyIiICZ86cwaZNm6ocJzo6GiqVSv/y9vZuwAqJyBRYbFBGRkZi7969SExMROvWrascLyoqCgUFBfpXZmZmA1ZJRKbA4na9hRCYNWsWduzYgcOHD0OtVlc7vlKphFKpbKDqiMgUWVxQRkREYOPGjdi1axecnJyQnZ0NAFCpVHBwcJC5OiIyRRa3671q1SoUFBRgwIAB8PT01L82b94sd2lEZKIsbotSCCF3CUTUyFjcFiURUW0xKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkWGRQxsbGws/PD/b29ujduzd++uknuUsiIhNmcUG5efNmzJ07FwsXLsTp06fRpUsXhISEIDc3V+7SiMhEWVxQrlixAtOmTUN4eDj8/f2xevVqNGnSBGvXrpW7NCIyURYVlKWlpUhJSUFwcLC+n5WVFYKDg3HixAkZKyMiU2YjdwENKS8vD+Xl5XB3dzfo7+7ujvPnz1f6Hq1WC61Wq+8uKCgAAGg0mmrbKioqAgDknzuDWzdu3E/ZVdL8lXb73z/OwQ4KtsE2Gk0bAFB0+c/b/xYVVft9qhgmhKi3WiQJC3LlyhUBQBw/ftyg/7x580SvXr0qfc/ChQsFAL744kvmV2ZmZkPERKUsaouyRYsWsLa2Rk5OjkH/nJwceHh4VPqeqKgozJ07V9+t0+lw/fp1NG/eHAqF8V9bjUYDb29vZGZmwtnZuW5noIGZy7yYy3wAljkvQggUFhbCy8urAaszZFFBaWdnh+7duyM+Ph6jR48GcDv44uPjERkZWel7lEollEqlQT8XFxfJtpydnRv9B7mCucyLucwHYHnzolKpGqiayllUUALA3LlzERYWhh49eqBXr16IiYlBcXExwsPD5S6NiEyUxQXluHHjcO3aNSxYsADZ2dno2rUr4uLijE7wEBFVsLigBIDIyMgqd7Xvl1KpxMKFC4121xsjc5kXc5kPgPMiF4UQcp5zJyIyfRZ1wTkR0b1gUBIRSWBQEhFJYFDWscZ2C7fo6Gj07NkTTk5OcHNzw+jRo3HhwgWDcQYMGACFQmHwev7552WquGqLFi0yqrNjx4764SUlJYiIiEDz5s3RtGlTjB071ujHB6bAz8/PaD4UCgUiIiIAmPb6OHr0KEaOHAkvLy8oFArs3LnTYLgQAgsWLICnpyccHBwQHByMixcvGoxz/fp1TJw4Ec7OznBxccGUKVP0PwmWC4OyDjXGW7gdOXIEEREROHnyJA4ePIiysjIMHToUxcXFBuNNmzYNV69e1b+WLl0qU8XVCwgIMKjz2LFj+mFz5szBnj17sHXrVhw5cgRZWVkYM2aMjNVWLikpyWAeDh48CAB46qmn9OOY6vooLi5Gly5dEBsbW+nwpUuXYuXKlVi9ejVOnToFR0dHhISEoKSkRD/OxIkT8fvvv+PgwYPYu3cvjh49iunTpzfULFROth9PmqFevXqJiIgIfXd5ebnw8vIS0dHRMlZVO7m5uQKAOHLkiL5f//79xUsvvSRfUTW0cOFC0aVLl0qH5efnC1tbW7F161Z9v3PnzgkA4sSJEw1U4b156aWXRNu2bYVOpxNCNJ71AUDs2LFD363T6YSHh4dYtmyZvl9+fr5QKpXim2++EUIIcfbsWQFAJCUl6cfZt2+fUCgU4sqVKw1W+924RVlHzOUWbhV3R3J1dTXo//XXX6NFixYIDAxEVFQUbtTTHZHu18WLF+Hl5YU2bdpg4sSJyMjIAACkpKSgrKzMYP107NgRPj4+Jr1+SktL8dVXX+G5554zuLdAY1kfd0pPT0d2drbBOlCpVOjdu7d+HZw4cQIuLi7o0aOHfpzg4GBYWVnh1KlTDV5zBYu84Lw+3Mst3EyNTqfD7Nmz0a9fPwQGBur7/+tf/4Kvry+8vLzw66+/4tVXX8WFCxewfft2Gas11rt3b6xfvx4dOnTA1atXsXjxYjzyyCM4c+YMsrOzYWdnZ/Q7fXd3d2RnZ8tTcA3s3LkT+fn5mDx5sr5fY1kfd6tYzpV9RyqGZWdnw83NzWC4jY0NXF1dZV1PDErSi4iIwJkzZwyO6wEwOD704IMPwtPTE4MHD8alS5fQtm3bhi6zSqGhofr/d+7cGb1794avry+2bNkCBwcHGSu7d59//jlCQ0MN7pzTWNaHOeGudx25l1u4mZLIyEjs3bsXiYmJaN26dbXj9u7dGwCQlpbWEKXdMxcXFzzwwANIS0uDh4cHSktLkZ+fbzCOKa+fy5cv49ChQ5g6dWq14zWW9VGxnKv7jnh4eBid/Lx16xauX78u63piUNaRO2/hVqHiFm5BQUEyVlY9IQQiIyOxY8cOJCQkQK1WS74nNTUVAODp6VnP1d2foqIiXLp0CZ6enujevTtsbW0N1s+FCxeQkZFhsutn3bp1cHNzw/Dhw6sdr7GsD7VaDQ8PD4N1oNFocOrUKf06CAoKQn5+PlJSUvTjJCQkQKfT6f8gyEK200hmaNOmTUKpVIr169eLs2fPiunTpwsXFxeRnZ0td2lVeuGFF4RKpRKHDx8WV69e1b9u3LghhBAiLS1NLFmyRCQnJ4v09HSxa9cu0aZNG/Hoo4/KXLmxl19+WRw+fFikp6eLH3/8UQQHB4sWLVqI3NxcIYQQzz//vPDx8REJCQkiOTlZBAUFiaCgIJmrrlx5ebnw8fERr776qkF/U18fhYWF4ueffxY///yzACBWrFghfv75Z3H58mUhhBDvvvuucHFxEbt27RK//vqrGDVqlFCr1eLmzZv6aTz22GOiW7du4tSpU+LYsWOiffv2YsKECXLNkhBCCAZlHfvoo4+Ej4+PsLOzE7169RInT56Uu6RqoYrb7q9bt04IIURGRoZ49NFHhaurq1AqlaJdu3Zi3rx5oqCgQN7CKzFu3Djh6ekp7OzsRKtWrcS4ceNEWlqafvjNmzfFzJkzRbNmzUSTJk3EE088Ia5evSpjxVXbv3+/ACAuXLhg0N/U10diYmKln6ewsDAhxO1LhObPny/c3d2FUqkUgwcPNprHv//+W0yYMEE0bdpUODs7i/DwcFFYWCjD3PwP7x5ERCSBxyiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoiYgkMCiJiCQwKImIJDAoyWQIITB9+nS4urpCoVDof8Nsivz8/BATEyN3GdRAGJRkMuLi4rB+/Xrs3bsXV69eRWBgYKN7BhGZJwYlmYyKO/307dsXHh4e+Pbbb+v0GURlZWV1XDFZCgYlmYTJkydj1qxZyMjIgEKhgJ+fH1asWIFp06YhPDwc/v7+WL16NZo0aYK1a9fWaJoKhQKrVq3C448/DkdHR7z99tsoLy/HlClToFar4eDggA4dOuDDDz80qmX06NFYvnw5PD090bx5c0RERFQbtJ999hlcXFwMbiFG5oN3OCeT8OGHH6Jt27ZYs2YNkpKSoFAo0KpVK0RFRenHuZdnEC1atAjvvvsuYmJiYGNjA51Oh9atW2Pr1q1o3rw5jh8/junTp8PT0xNPP/20/n2JiYnw9PREYmIi0tLSMG7cOHTt2hXTpk0zamPp0qVYunQpDhw4gF69et3fgiCTxKAkk6BSqeDk5ARra2t4eHggKyurTp5B9K9//Qvh4eEG/RYvXqz/v1qtxokTJ7BlyxaDoGzWrBk+/vhjWFtbo2PHjhg+fDji4+ONgvLVV1/Fl19+iSNHjiAgIKA2s0yNCIOSzNqdT/OrEBsbi7Vr1yIjIwM3b95EaWkpunbtajBOQEAArK2t9d2enp747bffDMZ5//33UVxcjOTkZLRp06Ze6ifTwGOUZJLq6hlEjo6OBt2bNm3CK6+8gilTpuDAgQNITU1FeHg4SktLDcaztbU16FYoFNDpdAb9HnnkEZSXl2PLli01rocaJwYlmaT6egbRjz/+iL59+2LmzJno1q0b2rVrh0uXLt3TtHr16oV9+/bhnXfewfLly++5JjJ93PUmkzV37lyEhYWhR48e6NWrF2JiYlBcXGx0zLE22rdvjy+++AL79++HWq3Gl19+iaSkpBo9VK0yffv2xffff4/Q0FDY2Nhg9uzZ91wbmS4GJZmscePG4dq1a1iwYAGys7PRtWtXxMXFGZ3gqY0ZM2bg559/xrhx46BQKDBhwgTMnDkT+/btu+dpPvzww/juu+8wbNgwWFtbY9asWfc8LTJNfGYOEZEEHqMkIpLAoKRG6euvv0bTpk0rffF6Rqpr3PWmRqmwsNDo0qEKtra28PX1beCKyJwxKImIJHDXm4hIAoOSiEgCg5KISAKDkohIAoOSiEgCg5KISAKDkohIAoOSiEjC/wMci6FgxYXidgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 300x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "distr_f(sphere_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a898f2f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({'f0_min': -3.188824393251793,\n",
       "  'f0_max': 0.022187256000393916,\n",
       "  'f0_mean': -0.11473730175309695,\n",
       "  'f0_med': 1.414626424976435e-47,\n",
       "  'f0_q1': -3.9515747245497193e-16,\n",
       "  'f0_q3': 1.7113112570710332e-15,\n",
       "  'f0_sd': 0.4845792776690805,\n",
       "  'f0_skew': -4.8845955845649875,\n",
       "  'f0_kurt': 24.200896623382185,\n",
       "  'f0_rank_min': 1,\n",
       "  'f0_rank_max': 100,\n",
       "  'f0_rank_mean': 50.5,\n",
       "  'f0_rank_med': 50.5,\n",
       "  'f0_rank_q1': 25.25,\n",
       "  'f0_rank_q3': 75.75,\n",
       "  'f0_rank_sd': 29.011491975882016,\n",
       "  'f0_rank_skew': 0.0,\n",
       "  'f0_rank_kurt': -1.2002400240024003},\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(easom_sample, bins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "264e2e89",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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
}