comparison_stan.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "# %load_ext autoreload\n",
    "# %autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "import itertools\n",
    "import math\n",
    "import timeit\n",
    "from decimal import Decimal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cm as cm\n",
    "import scipy.special as sp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "from wolfram_grid import wolfram_dda, search_grid\n",
    "from algorithms_stan import stan_grad_reg_inc_beta, stan_inc_beta, stan_inc_beta_strict\n",
    "from algorithm_inbeder import inbeder as inbeder1\n",
    "from algorithm_inbeder_documented import inbeder as inbeder2\n",
    "from plot import plot_zlevel, plot_time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = dict(\n",
    "    stan_grad_reg_inc_beta = stan_grad_reg_inc_beta,\n",
    "    stan_inc_beta_strict = stan_inc_beta_strict, \n",
    "    inbeder1 = inbeder1,\n",
    "    inbeder2 = inbeder2,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Accuracy comparison"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 15\n",
    "b = 1.25\n",
    "z = 0.999"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 50, 10000)\n",
    "y = sp.betainc(x, b, z)\n",
    "plt.plot(x, y)\n",
    "plt.axvline(a, c='k', ls='dashed', alpha=.5)\n",
    "plt.ylabel('incbeta')\n",
    "plt.xlabel('a')\n",
    "plt.title(f'{z=}, {b=}');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  wolfram: -0.0003813609775934895\n",
      "   stan_grad_reg_inc_beta: -0.00038136097752478797\n",
      "     stan_inc_beta_strict: -0.000381360977594094\n",
      "                 inbeder1: -0.0003813609775940947\n",
      "                 inbeder2: -0.0003813609775940947\n"
     ]
    }
   ],
   "source": [
    "print(f'{\"wolfram\".rjust(25)}: {wolfram_dda(z, a, b)}')\n",
    "for algo_name, algo in algos.items():\n",
    "    print(f'{algo_name.rjust(25)}: {algo(z, a, b)[0]}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "def safe_division(xs, ys):\n",
    "    result = []\n",
    "    for x, y in zip(xs, ys):\n",
    "        if y != 0:\n",
    "            result.append(x / y)\n",
    "        else:\n",
    "            result.append(np.nan)\n",
    "    return np.array(result)\n",
    "\n",
    "def safe_log(xs):\n",
    "    result = []\n",
    "    for x in xs:\n",
    "        if x != 0:\n",
    "            result.append(math.log(x))\n",
    "        else:\n",
    "            result.append(np.NINF)\n",
    "            \n",
    "    return np.array(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ricardo/Documents/Projects/derivatives_betainc/algorithms_stan.py:91: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  g1 = (dBda - b1 * (digammaA - digammaSum)) / betaAB\n",
      "/home/ricardo/Documents/Projects/derivatives_betainc/algorithms_stan.py:92: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  g2 = (dBdb - b1 * (digammaB - digammaSum)) / betaAB\n"
     ]
    }
   ],
   "source": [
    "df = pd.DataFrame(\n",
    "    columns = ('z', 'a', 'b', 'wolfram', *algos.keys())\n",
    ")\n",
    "\n",
    "for z, a, b in itertools.product(search_grid['z'], search_grid['a'], search_grid['b']):\n",
    "    w_dda = Decimal(wolfram_dda(z, a, b))\n",
    "    algos_dda = [Decimal(algo(z, a, b)[0]) for algo in algos.values()]\n",
    "    df.loc[len(df)] = [z, a, b, w_dda, *algos_dda]\n",
    "\n",
    "for algo_name in algos.keys():\n",
    "    df[f'{algo_name}_abserr'] = np.abs(df['wolfram'] - df[algo_name])\n",
    "for algo_name in algos.keys():\n",
    "    df[f'{algo_name}_relerr'] = np.abs(1 - safe_division(df[algo_name], df['wolfram']))\n",
    "for algo_name in algos.keys():\n",
    "    df[f'{algo_name}_abserr_log'] = safe_log(df[f'{algo_name}_abserr'])\n",
    "for algo_name in algos.keys():\n",
    "    df[f'{algo_name}_relerr_log'] = safe_log(df[f'{algo_name}_relerr'])\n",
    "    \n",
    "# df.to_csv('dda.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "# df = pd.read_csv('dda.csv', index_col=0)\n",
    "# df['z'] = df['z'].round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>a</th>\n",
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       "      <th>wolfram</th>\n",
       "      <th>stan_grad_reg_inc_beta</th>\n",
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       "      <th>inbeder2</th>\n",
       "      <th>stan_grad_reg_inc_beta_abserr</th>\n",
       "      <th>stan_inc_beta_strict_abserr</th>\n",
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       "      <th>inbeder1_relerr</th>\n",
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       "      <th>inbeder1_abserr_log</th>\n",
       "      <th>inbeder2_abserr_log</th>\n",
       "      <th>stan_grad_reg_inc_beta_relerr_log</th>\n",
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       "      <td>-34.412434</td>\n",
       "      <td>-34.594755</td>\n",
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       "      <td>-0.0053857750078742877911097686194352718302980...</td>\n",
       "      <td>6.938893903907228377647697926E-18</td>\n",
       "      <td>6.938893903907228377647697926E-18</td>\n",
       "      <td>...</td>\n",
       "      <td>2.737795307870E-15</td>\n",
       "      <td>2.737795307870E-15</td>\n",
       "      <td>-39.509389</td>\n",
       "      <td>-39.509389</td>\n",
       "      <td>-38.755617</td>\n",
       "      <td>-38.755617</td>\n",
       "      <td>-34.285395</td>\n",
       "      <td>-34.285395</td>\n",
       "      <td>-33.531623</td>\n",
       "      <td>-33.531623</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.001</td>\n",
       "      <td>1.5</td>\n",
       "      <td>125.00</td>\n",
       "      <td>-0.0865505603779457982627221213078883010894060...</td>\n",
       "      <td>-0.0865505603779555959809144383143575396388769...</td>\n",
       "      <td>-0.0865505603779512661111184002038498874753713...</td>\n",
       "      <td>-0.0865505603779557347587925164589250925928354...</td>\n",
       "      <td>-0.0865505603779557347587925164589250925928354...</td>\n",
       "      <td>9.797718192317006469238549471E-15</td>\n",
       "      <td>5.467848396278895961586385965E-15</td>\n",
       "      <td>...</td>\n",
       "      <td>1.14805681523087E-13</td>\n",
       "      <td>1.14805681523087E-13</td>\n",
       "      <td>-32.256627</td>\n",
       "      <td>-32.839891</td>\n",
       "      <td>-32.242562</td>\n",
       "      <td>-32.242562</td>\n",
       "      <td>-29.809600</td>\n",
       "      <td>-30.392865</td>\n",
       "      <td>-29.795535</td>\n",
       "      <td>-29.795535</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
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       "      <td>1.698086116164176928577944636E-13</td>\n",
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       "      <td>4.620818107910934E-13</td>\n",
       "      <td>-29.404104</td>\n",
       "      <td>-23.808708</td>\n",
       "      <td>-29.405413</td>\n",
       "      <td>-29.405413</td>\n",
       "      <td>-28.401726</td>\n",
       "      <td>-22.806329</td>\n",
       "      <td>-28.403034</td>\n",
       "      <td>-28.403034</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.001</td>\n",
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       "      <td>4.284227188506087302677372008E-13</td>\n",
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       "      <td>2.41772414794311351856E-7</td>\n",
       "      <td>2.41772414794311351856E-7</td>\n",
       "      <td>-25.769534</td>\n",
       "      <td>-28.478666</td>\n",
       "      <td>-25.377633</td>\n",
       "      <td>-25.377633</td>\n",
       "      <td>-15.627170</td>\n",
       "      <td>-18.336303</td>\n",
       "      <td>-15.235269</td>\n",
       "      <td>-15.235269</td>\n",
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       "      <td>-6.5954322570614482963671655992628911624464649...</td>\n",
       "      <td>4.531562193618252245141854388E-11</td>\n",
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       "      <td>0.073776596261886275300246955</td>\n",
       "      <td>0.073776596261886275300246955</td>\n",
       "      <td>-23.817369</td>\n",
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       "      <td>-23.817369</td>\n",
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       "      <td>-2.606834</td>\n",
       "      <td>-2.606714</td>\n",
       "      <td>-2.606714</td>\n",
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       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>0.999</td>\n",
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       "      <td>12.50</td>\n",
       "      <td>-0.0000373993100414921801968870518351195642026...</td>\n",
       "      <td>-0.0000746930863225586368168290585245472357200...</td>\n",
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       "      <td>-0.0000746930863231799795293533450468714818271...</td>\n",
       "      <td>-0.0000746930863231799795293533450468714818271...</td>\n",
       "      <td>0.00003729377628106645661994200669</td>\n",
       "      <td>0.00003729377615661659485426365768</td>\n",
       "      <td>...</td>\n",
       "      <td>0.997178189659453669030541712</td>\n",
       "      <td>0.997178189659453669030541712</td>\n",
       "      <td>-10.196684</td>\n",
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       "      <td>-10.196684</td>\n",
       "      <td>-10.196684</td>\n",
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       "      <td>-0.002826</td>\n",
       "      <td>-0.002826</td>\n",
       "      <td>-0.002826</td>\n",
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       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>0.999</td>\n",
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       "      <td>125.00</td>\n",
       "      <td>0.00729857796930133417845354415476322174072265625</td>\n",
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       "      <td>-2.3012804920116062996921340167543054501061374...</td>\n",
       "      <td>0.00006666704862548673837796542330</td>\n",
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       "      <td>...</td>\n",
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       "      <td>-9.615800</td>\n",
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       "      <td>-4.920076</td>\n",
       "      <td>-4.920076</td>\n",
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       "    <tr>\n",
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       "      <td>0.07904477149730482210543414112180471420288085...</td>\n",
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       "      <td>1</td>\n",
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       "      <td>-2.537741</td>\n",
       "      <td>-2.537741</td>\n",
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       "    <tr>\n",
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      "text/plain": [
       "         z        a         b  \\\n",
       "0    0.001      1.5      1.25   \n",
       "1    0.001      1.5     12.50   \n",
       "2    0.001      1.5    125.00   \n",
       "3    0.001      1.5   1250.00   \n",
       "4    0.001      1.5  12500.00   \n",
       "..     ...      ...       ...   \n",
       "120  0.999  15000.0      1.25   \n",
       "121  0.999  15000.0     12.50   \n",
       "122  0.999  15000.0    125.00   \n",
       "123  0.999  15000.0   1250.00   \n",
       "124  0.999  15000.0  12500.00   \n",
       "\n",
       "                                               wolfram  \\\n",
       "0    -0.0002866563657042640054020687934155375842237...   \n",
       "1    -0.0053857750078742730459602228165749693289399...   \n",
       "2    -0.0865505603779457982627221213078883010894060...   \n",
       "3    -0.3670055021667202876933799871039809659123420...   \n",
       "4    -0.0000393756276793055803864262998104095458984375   \n",
       "..                                                 ...   \n",
       "120  -6.1422760376990657589152725580328162635623812...   \n",
       "121  -0.0000373993100414921801968870518351195642026...   \n",
       "122  0.00729857796930133417845354415476322174072265625   \n",
       "123  0.07904477149730482210543414112180471420288085...   \n",
       "124  0.60515045501206010669648094335570931434631347...   \n",
       "\n",
       "                                stan_grad_reg_inc_beta  \\\n",
       "0    -0.0002866563657042636801414170477642073819879...   \n",
       "1    -0.0053857750078742799848541267238033469766378...   \n",
       "2    -0.0865505603779555959809144383143575396388769...   \n",
       "3    -0.3670055021665504790817635694111231714487075...   \n",
       "4    -0.0000393756212460058934170421818254936852099...   \n",
       "..                                                 ...   \n",
       "120  -6.5954322570608909834294579968669465508401827...   \n",
       "121  -0.0000746930863225586368168290585245472357200...   \n",
       "122  0.00723191092067584744007557873146652127616107...   \n",
       "123                                                NaN   \n",
       "124                                                NaN   \n",
       "\n",
       "                                  stan_inc_beta_strict  \\\n",
       "0    -0.0002866563657042636801414170477642073819879...   \n",
       "1    -0.0053857750078742799848541267238033469766378...   \n",
       "2    -0.0865505603779512661111184002038498874753713...   \n",
       "3    -0.3670055021210104628792691983107943087816238...   \n",
       "4    -0.0000393756281077282992370350300781467467459...   \n",
       "..                                                 ...   \n",
       "120  -6.5953776013738035716416612262756949403019746...   \n",
       "121  -0.0000746930861981087750511507095119156929285...   \n",
       "122  -2.3012805027475108565437059411900405677202816...   \n",
       "123                                                 -0   \n",
       "124                                                 -0   \n",
       "\n",
       "                                              inbeder1  \\\n",
       "0    -0.0002866563657042642764526119147916460860869...   \n",
       "1    -0.0053857750078742877911097686194352718302980...   \n",
       "2    -0.0865505603779557347587925164589250925928354...   \n",
       "3    -0.3670055021665507011263684944424312561750411...   \n",
       "4    -0.0000393756371992461684538623656326450372944...   \n",
       "..                                                 ...   \n",
       "120  -6.5954322570614482963671655992628911624464649...   \n",
       "121  -0.0000746930863231799795293533450468714818271...   \n",
       "122  -2.3012804920116062996921340167543054501061374...   \n",
       "123                                                 -0   \n",
       "124                                                 -0   \n",
       "\n",
       "                                              inbeder2  \\\n",
       "0    -0.0002866563657042642764526119147916460860869...   \n",
       "1    -0.0053857750078742877911097686194352718302980...   \n",
       "2    -0.0865505603779557347587925164589250925928354...   \n",
       "3    -0.3670055021665507011263684944424312561750411...   \n",
       "4    -0.0000393756371992461684538623656326450372944...   \n",
       "..                                                 ...   \n",
       "120  -6.5954322570614482963671655992628911624464649...   \n",
       "121  -0.0000746930863231799795293533450468714818271...   \n",
       "122  -2.3012804920116062996921340167543054501061374...   \n",
       "123                                                 -0   \n",
       "124                                                 -0   \n",
       "\n",
       "          stan_grad_reg_inc_beta_abserr         stan_inc_beta_strict_abserr  \\\n",
       "0     3.252606517456513302022358403E-19   3.252606517456513302022358403E-19   \n",
       "1     6.938893903907228377647697926E-18   6.938893903907228377647697926E-18   \n",
       "2     9.797718192317006469238549471E-15   5.467848396278895961586385965E-15   \n",
       "3     1.698086116164176928577944636E-13   4.570982481411078879318665713E-11   \n",
       "4     6.433299686969384117984915861E-12   4.284227188506087302677372008E-13   \n",
       "..                                  ...                                 ...   \n",
       "120   4.531562193618252245141854388E-11   4.531015636747378127263886682E-11   \n",
       "121  0.00003729377628106645661994200669  0.00003729377615661659485426365768   \n",
       "122  0.00006666704862548673837796542330    0.007298577969301334178453544155   \n",
       "123                                 NaN     0.07904477149730482210543414112   \n",
       "124                                 NaN      0.6051504550120601066964809434   \n",
       "\n",
       "     ...                inbeder1_relerr                inbeder2_relerr  \\\n",
       "0    ...              9.45559127757E-16              9.45559127757E-16   \n",
       "1    ...             2.737795307870E-15             2.737795307870E-15   \n",
       "2    ...           1.14805681523087E-13           1.14805681523087E-13   \n",
       "3    ...          4.620818107910934E-13          4.620818107910934E-13   \n",
       "4    ...      2.41772414794311351856E-7      2.41772414794311351856E-7   \n",
       "..   ...                            ...                            ...   \n",
       "120  ...  0.073776596261886275300246955  0.073776596261886275300246955   \n",
       "121  ...  0.997178189659453669030541712  0.997178189659453669030541712   \n",
       "122  ...  1.000000000000000000000000000  1.000000000000000000000000000   \n",
       "123  ...                              1                              1   \n",
       "124  ...                              1                              1   \n",
       "\n",
       "    stan_grad_reg_inc_beta_abserr_log stan_inc_beta_strict_abserr_log  \\\n",
       "0                          -42.569660                      -42.569660   \n",
       "1                          -39.509389                      -39.509389   \n",
       "2                          -32.256627                      -32.839891   \n",
       "3                          -29.404104                      -23.808708   \n",
       "4                          -25.769534                      -28.478666   \n",
       "..                                ...                             ...   \n",
       "120                        -23.817369                      -23.817490   \n",
       "121                        -10.196684                      -10.196684   \n",
       "122                         -9.615800                       -4.920076   \n",
       "123                               NaN                       -2.537741   \n",
       "124                               NaN                       -0.502278   \n",
       "\n",
       "    inbeder1_abserr_log inbeder2_abserr_log  \\\n",
       "0            -42.751982          -42.751982   \n",
       "1            -38.755617          -38.755617   \n",
       "2            -32.242562          -32.242562   \n",
       "3            -29.405413          -29.405413   \n",
       "4            -25.377633          -25.377633   \n",
       "..                  ...                 ...   \n",
       "120          -23.817369          -23.817369   \n",
       "121          -10.196684          -10.196684   \n",
       "122           -4.920076           -4.920076   \n",
       "123           -2.537741           -2.537741   \n",
       "124           -0.502278           -0.502278   \n",
       "\n",
       "     stan_grad_reg_inc_beta_relerr_log  stan_inc_beta_strict_relerr_log  \\\n",
       "0                           -34.412434                       -34.412434   \n",
       "1                           -34.285395                       -34.285395   \n",
       "2                           -29.809600                       -30.392865   \n",
       "3                           -28.401726                       -22.806329   \n",
       "4                           -15.627170                       -18.336303   \n",
       "..                                 ...                              ...   \n",
       "120                          -2.606714                        -2.606834   \n",
       "121                          -0.002826                        -0.002826   \n",
       "122                          -4.695724                         0.000000   \n",
       "123                                NaN                         0.000000   \n",
       "124                                NaN                         0.000000   \n",
       "\n",
       "     inbeder1_relerr_log  inbeder2_relerr_log  \n",
       "0             -34.594755           -34.594755  \n",
       "1             -33.531623           -33.531623  \n",
       "2             -29.795535           -29.795535  \n",
       "3             -28.403034           -28.403034  \n",
       "4             -15.235269           -15.235269  \n",
       "..                   ...                  ...  \n",
       "120            -2.606714            -2.606714  \n",
       "121            -0.002826            -0.002826  \n",
       "122             0.000000             0.000000  \n",
       "123             0.000000             0.000000  \n",
       "124             0.000000             0.000000  \n",
       "\n",
       "[125 rows x 24 columns]"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.001 -569.1887736947223 -20.68298597966874\n",
      "0.25 -555.6153390412865 497.253901682031\n",
      "0.5 -697.9880283364658 40.68988186507227\n",
      "0.75 -437.25522530173436 165.924433261865\n",
      "0.999 -35.941949452948876 86.36885524378881\n"
     ]
    }
   ],
   "source": [
    "for z in search_grid['z']:\n",
    "    lnvalues = df.loc[df['z']==z, 'stan_grad_reg_inc_beta_abserr_log':'inbeder2_abserr_log'].values\n",
    "    flnvalues = lnvalues[np.isfinite(lnvalues)]\n",
    "    print(z, np.min(flnvalues), np.max(flnvalues))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for z in search_grid['z']:\n",
    "    tdf = df[df['z']==z][[\n",
    "        'z', 'a', 'b', \n",
    "        'stan_grad_reg_inc_beta_abserr_log', \n",
    "        'stan_inc_beta_strict_abserr_log',\n",
    "        'inbeder1_abserr_log',\n",
    "        'inbeder2_abserr_log',\n",
    "    ]]\n",
    "    plot_zlevel(tdf, vmin=-50, vmax=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.001 -34.59475525178239 10.74266236298957\n",
      "0.25 -35.8466474260538 4.1611809467066166e-09\n",
      "0.5 -35.39121404415079 0.0\n",
      "0.75 -36.3283117141032 0.0\n",
      "0.999 -27.532017138004445 14.216435337006567\n"
     ]
    }
   ],
   "source": [
    "for z in search_grid['z']:\n",
    "    lnvalues = df.loc[df['z']==z, 'stan_grad_reg_inc_beta_relerr_log':'inbeder_relerr_log'].values\n",
    "    flnvalues = lnvalues[np.isfinite(lnvalues)]\n",
    "    print(z, np.min(flnvalues), np.max(flnvalues))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for z in search_grid['z']:\n",
    "    tdf = df[df['z']==z][[\n",
    "        'z', 'a', 'b', \n",
    "        'stan_grad_reg_inc_beta_relerr_log', \n",
    "        'stan_inc_beta_relerr_log',\n",
    "        'stan_inc_beta_strict_relerr_log',\n",
    "        'inbeder_relerr_log',\n",
    "    ]]\n",
    "    plot_zlevel(tdf, vmin=-50, vmax=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Speed comparison"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "5\n",
      "10\n",
      "15\n",
      "20\n",
      "25\n",
      "30\n",
      "35\n",
      "40\n",
      "45\n",
      "50\n",
      "55\n",
      "60\n",
      "65\n",
      "70\n",
      "75\n",
      "80\n",
      "85\n",
      "90\n",
      "95\n",
      "100\n",
      "105\n",
      "110\n",
      "115\n",
      "120\n"
     ]
    }
   ],
   "source": [
    "tdf = pd.DataFrame(\n",
    "    columns = ('z', 'a', 'b', *algos.keys())\n",
    ")\n",
    "\n",
    "for i, (z, a, b) in enumerate(itertools.product(search_grid['z'], search_grid['a'], search_grid['b'])):\n",
    "    if i % 5 == 0:\n",
    "        print(i)\n",
    "\n",
    "    algos_avg_time = []\n",
    "    for j, algo in enumerate(algos.values()):\n",
    "        if j <= 0:\n",
    "            algos_avg_time.append(1)\n",
    "            continue\n",
    "        algo_avg_time = timeit.timeit(lambda: algo(z, a, b), number=100) / 100\n",
    "        algos_avg_time.append(algo_avg_time)\n",
    "    \n",
    "    tdf.loc[len(tdf)] = [z, a, b, *algos_avg_time]\n",
    "\n",
    "for algo_name in algos.keys():\n",
    "    tdf[f'{algo_name}_log'] = np.log(tdf[algo_name])\n",
    "\n",
    "# tdf.to_csv('time.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# tdf = pd.read_csv('time.csv', index_col=0)\n",
    "# tdf['z'] = tdf['z'].round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>z</th>\n",
       "      <th>a</th>\n",
       "      <th>b</th>\n",
       "      <th>stan_grad_reg_inc_beta</th>\n",
       "      <th>stan_inc_beta</th>\n",
       "      <th>stan_inc_beta_strict</th>\n",
       "      <th>inbeder</th>\n",
       "      <th>stan_grad_reg_inc_beta_log</th>\n",
       "      <th>stan_inc_beta_log</th>\n",
       "      <th>stan_inc_beta_strict_log</th>\n",
       "      <th>inbeder_log</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.001</td>\n",
       "      <td>1.5</td>\n",
       "      <td>1.25</td>\n",
       "      <td>0.000135</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>0.000060</td>\n",
       "      <td>-8.910014</td>\n",
       "      <td>-10.667713</td>\n",
       "      <td>-10.385859</td>\n",
       "      <td>-9.713750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.001</td>\n",
       "      <td>1.5</td>\n",
       "      <td>12.50</td>\n",
       "      <td>0.000167</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>0.000060</td>\n",
       "      <td>-8.697839</td>\n",
       "      <td>-10.677411</td>\n",
       "      <td>-10.392898</td>\n",
       "      <td>-9.725603</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.001</td>\n",
       "      <td>1.5</td>\n",
       "      <td>125.00</td>\n",
       "      <td>0.000225</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>0.000034</td>\n",
       "      <td>0.000074</td>\n",
       "      <td>-8.400855</td>\n",
       "      <td>-10.595256</td>\n",
       "      <td>-10.278048</td>\n",
       "      <td>-9.505001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.001</td>\n",
       "      <td>1.5</td>\n",
       "      <td>1250.00</td>\n",
       "      <td>0.000399</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>0.000122</td>\n",
       "      <td>-7.826702</td>\n",
       "      <td>-10.581425</td>\n",
       "      <td>-9.951435</td>\n",
       "      <td>-9.014557</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.001</td>\n",
       "      <td>1.5</td>\n",
       "      <td>12500.00</td>\n",
       "      <td>0.001057</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>0.000121</td>\n",
       "      <td>0.000155</td>\n",
       "      <td>-6.852547</td>\n",
       "      <td>-10.928733</td>\n",
       "      <td>-9.018509</td>\n",
       "      <td>-8.773283</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>0.999</td>\n",
       "      <td>15000.0</td>\n",
       "      <td>1.25</td>\n",
       "      <td>0.648253</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>0.000137</td>\n",
       "      <td>0.000142</td>\n",
       "      <td>-0.433474</td>\n",
       "      <td>-10.865635</td>\n",
       "      <td>-8.896388</td>\n",
       "      <td>-8.859987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>0.999</td>\n",
       "      <td>15000.0</td>\n",
       "      <td>12.50</td>\n",
       "      <td>0.953471</td>\n",
       "      <td>0.000043</td>\n",
       "      <td>0.000096</td>\n",
       "      <td>0.000231</td>\n",
       "      <td>-0.047646</td>\n",
       "      <td>-10.058176</td>\n",
       "      <td>-9.254965</td>\n",
       "      <td>-8.371827</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>0.999</td>\n",
       "      <td>15000.0</td>\n",
       "      <td>125.00</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>0.000030</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>-10.593146</td>\n",
       "      <td>-10.426974</td>\n",
       "      <td>-9.943834</td>\n",
       "      <td>-9.841316</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>0.999</td>\n",
       "      <td>15000.0</td>\n",
       "      <td>1250.00</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>0.000057</td>\n",
       "      <td>-10.545163</td>\n",
       "      <td>-10.510721</td>\n",
       "      <td>-10.224254</td>\n",
       "      <td>-9.775621</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>0.999</td>\n",
       "      <td>15000.0</td>\n",
       "      <td>12500.00</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.000028</td>\n",
       "      <td>0.000035</td>\n",
       "      <td>0.000056</td>\n",
       "      <td>-10.542833</td>\n",
       "      <td>-10.473669</td>\n",
       "      <td>-10.273927</td>\n",
       "      <td>-9.790416</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>125 rows × 11 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         z        a         b  stan_grad_reg_inc_beta  stan_inc_beta  \\\n",
       "0    0.001      1.5      1.25                0.000135       0.000023   \n",
       "1    0.001      1.5     12.50                0.000167       0.000023   \n",
       "2    0.001      1.5    125.00                0.000225       0.000025   \n",
       "3    0.001      1.5   1250.00                0.000399       0.000025   \n",
       "4    0.001      1.5  12500.00                0.001057       0.000018   \n",
       "..     ...      ...       ...                     ...            ...   \n",
       "120  0.999  15000.0      1.25                0.648253       0.000019   \n",
       "121  0.999  15000.0     12.50                0.953471       0.000043   \n",
       "122  0.999  15000.0    125.00                0.000025       0.000030   \n",
       "123  0.999  15000.0   1250.00                0.000026       0.000027   \n",
       "124  0.999  15000.0  12500.00                0.000026       0.000028   \n",
       "\n",
       "     stan_inc_beta_strict   inbeder  stan_grad_reg_inc_beta_log  \\\n",
       "0                0.000031  0.000060                   -8.910014   \n",
       "1                0.000031  0.000060                   -8.697839   \n",
       "2                0.000034  0.000074                   -8.400855   \n",
       "3                0.000048  0.000122                   -7.826702   \n",
       "4                0.000121  0.000155                   -6.852547   \n",
       "..                    ...       ...                         ...   \n",
       "120              0.000137  0.000142                   -0.433474   \n",
       "121              0.000096  0.000231                   -0.047646   \n",
       "122              0.000048  0.000053                  -10.593146   \n",
       "123              0.000036  0.000057                  -10.545163   \n",
       "124              0.000035  0.000056                  -10.542833   \n",
       "\n",
       "     stan_inc_beta_log  stan_inc_beta_strict_log  inbeder_log  \n",
       "0           -10.667713                -10.385859    -9.713750  \n",
       "1           -10.677411                -10.392898    -9.725603  \n",
       "2           -10.595256                -10.278048    -9.505001  \n",
       "3           -10.581425                 -9.951435    -9.014557  \n",
       "4           -10.928733                 -9.018509    -8.773283  \n",
       "..                 ...                       ...          ...  \n",
       "120         -10.865635                 -8.896388    -8.859987  \n",
       "121         -10.058176                 -9.254965    -8.371827  \n",
       "122         -10.426974                 -9.943834    -9.841316  \n",
       "123         -10.510721                -10.224254    -9.775621  \n",
       "124         -10.473669                -10.273927    -9.790416  \n",
       "\n",
       "[125 rows x 11 columns]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.001 -10.465562612677287 0.0\n",
      "0.25 -9.981399797749615 0.0\n",
      "0.5 -9.975329479035965 0.0\n",
      "0.75 -9.923420704157778 0.0\n",
      "0.999 -10.42175009474361 0.0\n"
     ]
    }
   ],
   "source": [
    "for z in search_grid['z']:\n",
    "    lnvalues = tdf.loc[tdf['z']==z, 'stan_grad_reg_inc_beta_log':'inbeder2_log'].values\n",
    "    print(z, np.min(lnvalues), np.max(lnvalues))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7TvS42TAX2OGcS46paR7pt6NHZKsthfNOApV6XZVfTwXwTMr2ude/PpWyR+S1C0wG+ju9f4DXAffJTJ4kykCZZupYTJNz7lbn3Cq8oHDAF0ZuSl3OnwfgZ3iHrjY452YA9+AdYna02vGGFs9PuW7BRGWm1PFG4Hq80SEz/Tq6U+rYPWYdTRnUk/qcdwA/cM7NSLlUOuc+7z/GLDOrOELdr8UOvEMpM3WoDjOrwhuG3eqv7+Exz6fKOfcxf/Gxr/dC4Nt44T/b387ryOz1bsV7X6Vqwjs8MdNt+CKweMwXppts4aOwA2+PW23K9ql2zi1PWWYp3qjPA1l8XAmIac7KTHTgHWbymvID77Pa6v97B3DxmPwoc87tYuLP4b/6169wzlXjjQA/4vNPdxun3mWK1U2VoUeTHa14mZXaIB3JM/Ay7UjfZd6DO9fL4WkwXktNU5nqNRuZVP144IUsP65IoZgqzz435rNR4byjKnYD8/xRJ6n3JY37jsj2Z7kVWGCjT1A1kj3ptqNHvIJ3vqt5Kddls94OvB/Yy1O2T41z7tCOM/+xS4DNWXxcERmvIDLQX9d38XZsvtONP8LkSJSBMq3UsZgGMzvJzP7A/yE8gPdBGNkb0IZ3mOjItizBO0ytHYibd6r4C8auMxP+yIufA58xswozO5nDh5VNJoYXIO1A1Mz+CahOuf124B/MbKaZzQf+7CjL+yHeIbsXmlmRmZWZN3n+fOcdTrfGr7vEzM4Bsn3a+B8BbzWz95h3IpnZZnbqEe/lHaq9yrzJaT+LN9/GDrwh4yea2R+bWbF/OdO8kwaA93ovSVnPyBxg7eCdjAJvxGIm7vEf8w/95/BevLkvfpnpNnTeoYWvMPpQ7LE1HzXn3G68w1W/aGbV5p344DgzSz188zzg19l4PAmW6c7KTPh7dL8HfMm8k40UmXdClXQmif6/fhYvx5tL5sf+9d8EPufvcMDM6szsSv+2drxtkfpZjOEdmt3tN6D+9kgPnOE2Tsd3gL8xszPMc7wdPlFJxtnh5+jjwL/53wenAH+C910Bo7975nHkPfL3MPrw8DZgvp/d2TDVawZelm5zr+HwcJEC9wkzm2/eSYs+zeE8+zbwUTM7y8+GSjO71N9p8AReG/PP/XbSOxjd7pjqvhPy2z9leHNzjbQnJ5xGYhJP4o1Gut6v6Xy89tL/ZtqOds4NAb9hfPZkmq+TrT+Jt42+bGb14P2INrMLUxY7D/itS296DhE5egWRgcA38AZnXD728Og0KQNlWqljMT2leBPOd+ANp64H/sG/7Sf+/zvN7Fn/8K8/x/vxtA9vDsCjnVcw1SfxDmXegzdE+ja8kWOTuQ9vSPFLeMOgBxg95Plf/Ou34nUUHdXp5P0fkVfiTRTb7j/G33L4vXU1cA7eCV1uxAvrrAWEc64F7/DJT+Edzvw84+fOmMitwD/79zkDb6QQ/ut3Ad4cD6142/sLeO8B8PYkLTNv2PYv/Dkqvoj3BdOGdzKHxzJ8Dp14czt+Cm87XQ9c5pzr8BfJdBt+C+9EMCNG1ZxJbZO4Bq9TaAPee/yneIe+j3i/X4OETyFkZSb+BliLNy9OF95nPZ3vxYfxOvAfBP7TnzcGvBNB3QXcb2YH8U4KchaAP53B54DH/M/i2Xg5fDreaPJf4TX6jiTtbZzGunDO/cSv61a8uWx+gTeCG7xJzv+PX+/fTLKKibwf74QurXgne/pn59xv/NtuAHbifff8Bi8/psqzm4GrzQ6NCvgtsB7YY2Ydk98tbZO+Zr6r8TofRY5Vt+K1A7fgjRC+EcA5twbv5Ec34WX0K3iT84/86HyH/3cX3onrDuXXVPedwv/B21Hy93htsn7/urT4NV2Odyb5DrwTSF3jDs9Rlmk7emxbKuN8PYK/w9suq82bCuM3jJ5DWNkjkh/TnoH+zs3r8M4hsMe8My/3mNnV6T4JZaBMNxs9NYAEhZl9AWh0zn1gumvJhJn9GNjknPvn6a4lqI60Df2RTM8Bb/FHGOaztsuBP3bOvSefjysiwWRmHwPe55yb9KQ1ZnYrcLtzLhs7RtLm70V/GDjNOTeQz8cWkdxKpx1tZo8Bn3Teifzyxh/p/S3n3Dn5fFwRCQ9loGSbOhYDwh+yXII3uuZMvMPDPpzvH1qZMrMz8fbkbMUbCfgL4Jx8B1SQaRuKyLHCzObgHV79BHAC3kjNm5xzX5nWwkTkmBbUdrSISDYoAyXXdCh0ATGz9SlDn3vGDIOO4Q2x7sU7FPaLwJ05qKFpkhp6zCyTE7yMaAQewptH7KvAx5xzz5nZ1ZM8xvosPY+ptmVemNk3J6kh02HdE27DbNcrEhS5/HznOpvSrCHbOZyNmrK1XUrwDq85iHdY8514h+uIiIxjZv84SfZkOpdzXtrRIiLZpAyUoNCIRREpWBe+udJ1diXSWvaZFwfvc85dlOOSRETyQvknImGmDBSRsApi/mVytjURkbzq7Erw1H3pDdAqmvNybY7LERHJG+WfiISZMlBEwiqI+aeOxQnMmFXk5szXphHJpk1rhzqcc3WZ3McBSZI5qkgmUxKtcOUlM6a7jGOKK7IjL1QgLKEjGbKtf2g/Q/G+jN4Eyr/pUVJc6coCk3/B+KxaIkDv42BsUk9Avlb6h7sZSvRnXK0yMP9KohWurDQY+WdB+awm0ht1VhgCEioBc2CoLRS/gdV7NoE586N8/+45012GyDHlnEXbt2d6H4dj2AXpC/nYUF4yg7NP+vB0l3FMSVSVTncJaSvqGZzuEtIXkOlcVr/03Yzvo/ybHmUlMzi7+brpLiM98WD86Ij09E93CWmz4fh0l5A2Fy2a7hLS8kTL/xzV/ZSB+VdWOoOzT/7IdJeRFgvI939k38HpLiF9po7FXLh365dC8RtYHYsiUtCCtrdGRCRblH8iEmbKQBEJq6DlnzoWRaRgORyJgOyRFBHJJuWfiISZMlBEwiqI+aeORREpaMlATXgkIpI9yj8RCTNloIiEVdDyTx2LIlKwHJAIWKiKiGSD8k9EwkwZKCJhFcT8U8eiiBQsBwy7YM0vISKSDco/EQkzZaCIhFUQ808diyJS0IIVqSIi2aP8E5EwUwaKSFgFLf/UsSgiBcvhAjcMXEQkG5R/IhJmykARCasg5p86FkWkcDlIBCtTRUSyQ/knImGmDBSRsApg/qljUUQKliN4w8BFRLJB+SciYaYMFJGwCmL+qWNRRAqYkcCmuwgRkWmg/BORMFMGikhYBS//1LEoIgXLOyNWsEJVRCQblH8iEmbKQBEJqyDmX2S6CxARmYwDEv4emyNd0mFmF5nZZjN7xcz+PrfVi4gcPeWfiIRZNjNQ+SciQRLE/NOIRREpaMks7a0xsyLg68DbgJ3A02Z2l3NuQ1YeQEQky5R/IhJm2chA5Z+IBFHQ8k8jFkWkYGV5xM7rgVecc1ucc0PA/wJX5rJ+EZGjpfwTkTDLYgYq/0QkUIKYfxqxKCIFy2Ek0t//UWtma1L+vtk5d3PK3/OAHSl/7wTOeo0liojkhPJPRMIsixmo/BORQAli/qljMcueeKifr9zQRSIBV7y3ims+XjPq9qFBxw1/3cGmdUPUzIhw4011zFkwPS+Dag13rUGpM4Nh4B3OudflshY5suF4P+t33E3f4D4ikSjLF1xOrLx+0uU37byXXV3P85ZT8jvlUbp1rm+5m+6+VgAqSmfR3HQl0aKSvNYajw+wfvNPGBjsxpGkad4bmNtwxrjl2trXsm3HQzgctTNP4vjFF+a1TgjOdvXq/CV9Q/uIWJTlCy6b+n266z7vfbri7/JWIyj/gmY43s/6rb+gf8B//y++kqqKhnHLtbQ9Scue1fQPdnHeaddTUlw5PbVuv4v+wS6v1oVXUjXRZ3X7nRzo2w3OUVE2m+ULr8rvZzUxwLo9v6ZveD8RK6K58WJipXXjlntyx60kkkMADMV7qSmbw2nz3pG3OkdqXdtxH33D3RRZEc11FxIrqR23XGd/C5u7HiHpElSXNtBcewERy+9BZMOJAda1jWzXKM0NF024XTv7trO54yFwjqJICc0NF1NZMjNvdSoDgyMomXKo1pa7DrdVmq6YuK2y/S66+3YDXq35aKv0DHWxtvN+Dgzu5cSZ57K45vDbur1vGxu7HgKSzK9qZsmM14+7f9LFebH9Pg4MtVEcKWdl3SVUFNeMWy7bgpZ/Qag1aPkXiEOhzex7ZrbXzNZNcvvVZvaima01s8fNbGXKbdv8658f05ObdYmE44v/1MWXbqnntgfm8sBdvWx9eWjUMnff3kOsJsJPH57H+/6kmq9/fl8uS1KtqjXQdTqMIVeU1iUNu4AFKX/P968raEHJvxFb2h4jVt7AuSdfx4qmK9m8675Jl+3ua2U4MZCPssZJt86T5l3AuSdfx7knX0d5SQ07Op7Oc6Wwc/dqKivqOev0T3L6ij/h5a33kkzGRy0zPNzHy9vu5bQVH+Ls0/+cweGDdO1/Ne+1BmW7btnr13nSR1jRdAWbW++fdFnvfdqfx+o8yj9PkDJwa+sjxCoaOWfFx2le8nY2t/x6wuVmVDVxxsnXUFYyI9clTWrrnt8Tq2jgnGUfo3nR29m8894Jlztp/kWcs/SjnLPsY5SV1LCj/am81rml6wliZfW8YdEHWTHnUjbtfXDC5c5a8Iecu/Bazl14LTXl86iPnZjXOgFe7X6S6pJ6Vs2/hhV1F7Ox83fjlnHOsbb9XlbWX8qq+R+gPBqjtWd93mvd0rWaWGk9b1j4QVY0XsKm9t9OuNyGvQ9wSuNlnLvwWubElrKl64m81ZjFDFT+5SP/ApIpAFvaHiVW3si5Sz/KioVXTVHrhZy79DrOXfpRyour81JrcVEZy2adz+Ka0TuQnUuyoeu3vK7hKlbN+wC7ezfTM9Q57v47D66nOFLKm+Z/iEXVp/PSvkdzXjMEK/+CUGsQ8y8QHYvALcBFU9y+FTjPObcC+Cxw85jb3+ycOzXXPbkbnh9i/sIo85qKKS4x3np5JY/cP/rHyO/v7+OSd1Z5RV1SwZrHB3DO5bIs1apaA1unA5JE0rqk4WngBDNbbGYlwPuAu3JZf5bcQgDyb0TvYDuzqhYDUFlWS/9QN4PDPeOWcy7JS62/4cS5b8lHWeOkW2e0qBTwGhiJMZ15+WPEE4NeDYlBiqPl2Jg9pv0DXVSUzT408mnWjOPY25H/xlpQtmvvQAezqhYBI3Xun+J9+iAnzsn/+1T5d8gtBCQDe/vbmVW9BIDK8jr6Byd+X1VXzqG8NH+jvibSO9DBrFjKZ3WSWlM/q8nkcF5rBOgZ6mR2eRMAVSWz6Y8fYDDeO+ny8cQgXX3baag8IV8lHtI71MWscu/3W1XJLK/WxOhah5P9mBVRWey9/rPLF7Kn9+W819oz1MnsioV+rbPpj3dPul3jycFD/y+NVuWtxixmoPIvH/kXkEwB6B1oZ1ZsEZBBW8XFwbJzQrWplBZVUFPaiI15X+8f3ENFdAYVxTOIWBGNlSfR1jd+B3Jb36vMrVoGQEPlCXQOtOTl91uQ8i8ItQYx/wLRseicewTomuL2x51zI8OpVuP1xOZde1uc+rmHDxWtn1NEe1tizDIJGuZ6PcvRqFEVi9C9L5nXOr06VGsuBKXWoNQJ2Tt5gXMuDnwSuA/YCNzunMt/z0uGgpJ/I2JlDbR1bwKgu3cXA0P7GRw+OG65lo6nqa8+kdLiWL5LBNKvE2Bdy108vP7L9A520FQ3/rCTXJs/52x6+9t59Kkv8OSzN3HikkvHdSyWl8+mr7+D/oF9JF2C9s6NDA52573WoGzXWHn94Tr7djEw1D3J+3QN9TXT9z4Ne/5BsDKwqqKRvV3eiRa7e3YyMNjN4NCB6SpnSlXlDezdvxFI/axOXOv6bXfyyNov0jvQSVN9fqemi5XW09bzEgD7+3czMNzNQHziTAFo632Z2RULD3UI5FOspI623lcA2D+4m4H4AQbiozsriiPlOJeke3DPoXqnej45q7W07vB2HdjNwPCBCetobriIZ3f9jIe2foPWgxtYMjO/r382MlD5lx9ByRSAWHkDbfvHtlUmrnXd9jt5eN2X6B2YnjbgiMFED+XRw22RsmgVg4nxnaGpy0UsQjRSytW9SgkAACAASURBVHAy90cHBSr/AlJr0PLvWJxj8U+A1GNPHHC/mTngW2MmMxeRAuackXDZ2//hnLsHuCdrKyw8055/ixvewKZd9/HEppupKq8nVt4IY770BoYP0rZ/I687/ppclzOpdOoc0dx0Bc4l2bjzXvbsW8+82afmtdbO/S8Tq5zD6c0fon+gi+fWfZ8Z1QuJRssOLVMcLeek465g3aYfgxkzYk30DUz6WyRngrJdF9f7dW7+NlXldV6dNtH7dMO0vU+Vf0dlWjNw8dxVbN7+a55Y9w1i5fXEKhux9M7anXeLG1exece9PLHxm8TKG4hVzBk3QmbE8kVX4lySTTt+zZ5965g3+7S81blk5llsbH+Qx7ffQlVJLbHShim36Z4DG5lXc0re6ku1ZMaZbOx8iMd2/YBYcS2xkvpxtZoZK+svZVPnwyRdnNnli8btKMpLrTPPYmP7b73tWlrnbdcJRmNt27eG0+e9kxllc9m67yk2dfyO5oapBtBlTzYzUPmXh/wLSKYALG5Yxaad9/LEpm9RVVZPrGIOk423al545bS2AYMiUPkXgFqDmH/HVMeimb0ZL1RXpVy9yjm3y8zqgQfMbJO/92fsfT8CfASgcV5a8xWNU9cQZW/r4UO69u5OUNdQNGaZItpaE9TPiRKPO3oOJqmZmf8PlGrNjaDUGpQ6AZIF+qOs0LyW/PPvfygDyzKc5Lml/Wl2dT4HwGnHvZ/mpisA79CR32/4GhVjDvk72LeHvsEuHt1wEwCJ5DC/33ATb1z2yYweN1OZ1pnKLELjzOVs2/tEXhqVO1pX09rmTYkUjZazpOktmBkV5bMpL5tJb38HNbHRAxPqZp9M3eyTAdi15+m8HLIDwdmuLR1rDte55H2j69x4ExVjTkhwsH8PfUP7eHTj1wH/fbrx67xx6SdyWmcq5V/6stUGLCvJLP92tD3JzvZnATjtxKtZvuTtgPe+evSFr1BeNr2HPKfa0f4UOzv8Wo+7muWLrgT8Wtf/15SHZ3uf1Wa2tT2W806Alv3PsrP7RQBOn/dOVjRecqjOR7Z+i4riieemHEr00T2wm1Pnvj2n9aXafuB5dh5cC8AZDW9nRd2Fh2p9eOd3JzxpwsyyuZw1970AdPRtoy+enzmsR2/Xd7Gi8eJDtT6y7WYqoqO361C8j4NDe5lRNheAxqqTeab1p3mpdYQyMD3Tln8ByRQYaauM1PqHNC88XOvvN3w1vbZK2+M5aat4OeJNo3lGw1WUTTDlQGlRFf0pI+YG4j2UFk2+XFk0RtIliScHKY6UjVsue3UHI/+CVOuIoOXfMdOxaGanAN8BLnbOHZrJ1Dm3y///XjO7A3g9MC5U/b04NwMsPaX0qCYiWLqyhB3b4rTuGKauIcpv7u7lX746+gxDq95WwT0/62HFGaX87p4+zji3bMI9hLmmWsNda1Dq9CauPWZiKmdea/75yxzKwJqKuRllYFPdmTTVnQnAcHyAZDJBJFLErq7nmFnVNO6QtLqaEzi/5q8P/f3gi5/Peafi0dTpnKN/aB8VpbNwztHe/RKVpbNzXifAgrlns2Du2QBseuUu9u1/lZk1ixgc6qGvv2PCzoqhoR5KSqoYjvezc/eTrDj5fXmpNSjbtan2dTTVetNMDSfSeJ9Wn8D5y//q0N8Prv1CXjsVlX/py2YbsLpyXkb5t6DhLBY0eIfyDcf7SSbjRCJRdrU/w8zYQqJFuflBdzQW1L2eBf6hfKM+q53PMrNq/OHDzjn6B/dRUTbyWd1MZdn4M2dmW9OM02macbpXZ2KApEsQsSJ2dr/IrPIFkx7m3HZwM3VVx1EUyd/nZmH1qSysPnV8rQfXMqtsHtHI+FoHE32UFlWQdHG2dD/NcTPycyjopNv1wIvMKp8/brtGi8qIJ4boHeqismQWnX3bqCyelZdaQRmYruzmX2btv6BkCkzRVul8jpmVk9Q6qq2ymcqy3LRVUnNkMjWljfTF99E33E1ZtIo9vZs5pe7iccvVVyyhtWcDM8vmelNDlC3I2e+3IOVfkGqFYOZfsKqdhJk1AT8H/tg591LK9ZVAxDl30P/3BcANuaojGjU+dcMs/vKavSQTcNl7qlhyYgk3f2k/S1eU8Ma3VXD5e6r4l7/u4F3n7aJ6RoTPfi0/YapaVWsQ6xyZuFYmVyj5N6J3sIN1LXcCUFVWx/IFlx+67dlXb2NZ02WUTdN8danSqbM0WsW6lju9E6fgzcmzbP4lea918YLz2fDyz1j97NcAx3GLLjx0kpYnn7uJs07zOmVf2vIrDvZ6c8EsbnozFeX5/8wGZbv2DnSwruUuML/O+ZcdrnPLbSxbMP3vU+VfegopA3v7O1i/5Q7vfVVez7LFVx667dnNP2TZ4isoK6mmZc9qtu1+jKHhHp5Y9w1qZ5zA8pRl86F3oJ31238BGFVldSxbeMXhWl/5EcuarqC0uIp1239BIjGIwxErb2Rp06X5rXOok7V7vCO4qkpraW44/EP6mZ0/ZXnjhZT584ntPriJxbPyP1/biJ7hLta23wtmxIpn01x7waHb1uz5Oc21F1AWrWJr99O0923F4WiKrTx0cpp86h3qZG2bd9RsVUntqMObn9n1U5Y3XERZtIrlDRfw/O47AaO4qCxvh0GDMjAdBZV/AckU8E40t277nYdqXd6U2la5lWVNl3ttle2/IJ4Y8mttYNmC3Nc6GO/l8d23Ek8OYRjbDjzHG+ddQzRSyrJZf8Catp/jcMyvWk6sxGvnvbzvcWpKG6ivOI75Vc282HEvj+z8HsWRMlbW5ad9FaT8C0KtQcw/m44z52bKzG4DzgdqgTbgn4FiAOfcN83sO8A7ge3+XeLOudeZ2RLgDv+6KHCrc+5zR3q8paeUuu/fPSe7T0Ik5M5ZtP2ZTM9Kd/yKCvfvvzgprWXfefzzGa8/CPKdf+CNWDz7pA9n70kIiar8n0jgaBX1DE53CekLQBsGYPVL36W7rzWjIQPKP0++M7C6cp47u/m67D6JXInn/4RqRyPS0z/dJaTNhvN/lvqj5aJHN3VTvj3R8j90D+zJeMiUMnA68m+uO/vkj2T3SeSIBeT7P7Iv/ycnOWrTcLRfGNy79Uuh+A0ciBGLzrn3H+H2DwPjfgU757YAK3NVl4jklsNIBGxvTbYp/0TCSfnnUQaKhJMyUPknElZBzL9AdCyKSHgls3hWVBGRIFH+iUiYKQNFJKyCln/qWBSRguUgcHtrRESyQfknImGmDBSRsApi/qljUUQKlsMYdsGYQ0hEJJuUfyISZspAEQmrIOafOhZFpGA5B4mADQMXEckG5Z+IhJkyUETCKoj5p45FESlgRhKdoUxEwkj5JyJhpgwUkbAKXv6pY1FECpYjeHtrRESyQfknImGmDBSRsApi/qljUUQKWtAmrhURyRbln4iEmTJQRMIqaPmnjkURKVgOI+mCNQxcRCQblH8iEmbKQBEJqyDmnzoWRaRgOWDYKaZEJHyUfyISZspAEQmrIOZfsKoVkZAxEgGbuFZEJDuUfyISZspAEQmr4OWfOhZFpGA5IBmwiWtFRLJB+SciYaYMFJGwCmL+qWNRRApa0PbWiIhki/JPRMJMGSgiYRW0/FPHoogULOcscHtrRESyQfknImGmDBSRsApi/qljUUQKljdxbdF0lyEiknfKPxEJM2WgiIRVEPNPHYsiUsCMRMD21oiIZIfyT0TCTBkoImEVvPxTx6KIFCxv4tpgzS8hIpINyj8RCTNloIiEVRDzTx2LIlLQEgRrb82xwBm44oAMv7dgfOlGBuPTXYIEkPJvGkQgURaM5nFkODHdJaTFJUqmu4S02XBwstoSyekuIT3u6O+qDMyziJGoCsbnNSjtqkjyNXwA8syVB+O1B7DBoekuIeeCln/BaDmJSCg5LHB7a0REskH5JyJhpgwUkbAKYv6pY1FECloyYHtrRESyRfknImGmDBSRsApa/qljUUQKlnMwnAxWqIqIZIPyT0TCTBkoImEVxPxTx6KIFCxvGHiwQlVEJBuUfyISZspAEQmrIOafOhZFpKAlCNb8EiIi2aL8E5EwUwaKSFgFLf+C1Q0qIqHigKSztC6vhZn9h5ltMrMXzewOM5uRnWcgInJ0lH8iEmbKQBEJqyDmnzoWRaSAecPA07m8Rg8Azc65U4CXgH94zaWLiLwmyj8RCTNloIiEVfDyT4dCi0jBcg6G8zC/hHPu/pQ/VwPvyvmDiohMQfknImGmDBSRsApi/qljUUQK2jRMXPsh4Mf5flARkbGUfyISZspAEQmroOWfOhZFpGB5Z8RKe+6IWjNbk/L3zc65m0f+MLPfAI0T3O/Tzrk7/WU+DcSBHx1lySIiWaH8E5EwUwaKSFgFMf/UsSgiBS2Z/hmxOpxzr5vsRufcW6e6s5ldC1wGvMU559IuUEQkR5R/IhJmykARCaug5Z86FkWkYI2cESvXzOwi4HrgPOdcX84fUETkCJR/IhJmykARCasg5p86FkWkoOVpfombgFLgATMDWO2c+2g+HlhEZDLKPxEJM2WgiIRV0PJPHYsiUrCcM+L5OSPW8Tl/EBGRDCj/RCTMlIEiElZBzD91LIpIQcvHMHARkUKk/BORMFMGikhYBS3/1LEoIgUrX/NLiIgUGuWfiISZMlBEwiqI+aeOxSx74qF+vnJDF4kEXPHeKq75eM2o24cGHTf8dQeb1g1RMyPCjTfVMWfB9LwMqjXctQalzqCFatgNx/tZv/VO+ge7iESiLF90JVUVDeOWa2l7kpa21fQP7uO8U/+WkuLKaajzF/QP7PPqXDxFnXtW0z/YxXmnXZ/3Og/XeuRtuvbVn3GgrxWzCDWV81i68HIikaL817rjbvoG/e264HJi5fXjllvfcjfdfa0AVJTOornpSqJFJXmu85f0De0jYlGWL7hswjpHbNp1H7u6nuctK/4ubzWC8i9o4vEB1m+6ncHBbpxLsmD+KuY2njFuuT17X2B7y8NgUFpSzbKT3z0tGbjhlV94uWJRlh1/1YS50j+wj7Uv387wcD/VVXNZfvw7iETy1xYIymcVYDgxwNqO++gb7qbIimiuu5BYSe245Tr7W9jc9QhJl6C6tIHm2guIWF7m0hpda/t99MX3U2TRKWrdzubOR3A4iqyYFfUXUVk8M291KgODI3D5t+VwG3DZkonbVTv2HG4Dvun0/LQBe4a7WNt5PweG2jlxxrksrj68Ddv7t7Fx38NAkvmVzSypOXPc/ZMuzoud93FgaC/FkTJW1l5CRbRm3HLZNpwYYN2ee+gb2k8kEqW58WJipXXjlnuy5UckkkMADMX7qCmfw2nz3pHz+sbWurbz/sNZXXvB5Fm97/deVpfU5z2rg5Z/+f0WO0pm9j0z22tm61Ku+w8z22RmL5rZHWY2Y5L7bjOztWb2vJmtyWWdiYTji//UxZduqee2B+bywF29bH15aNQyd9/eQ6wmwk8fnsf7/qSar39+Xy5LUq2qNdB1OoykS+9yrApK/o3Yuvv3xCoaOaf54zQvfjubW+6dcLkZVU2ccdI1lJXkvrEzka2tj3h1rvg4zUvezuaWX0+43IyqJs44+RrKSibcxHmR7jZtnL2Cc5s/yTnLP04iGWdXx7N5rhS2tD1GrLyBc0++jhVNV7J5130TLnfSvAs49+TrOPfk6ygvqWFHx9P5rXOvX+dJH2FF0xVsbr1/0mW7+1oZTvTnsTqP8s8TpAzc2bqayop6Xn/Gn3HaKR/mlS2/JpmMj1om6RK8/OqvOG3ln3DWGX9OVWUjO3etznVp42zb+QixykbOXvkJlp/wDjZvvWfC5V5uuZ+mOefyhtP/kmi0jNa9+c2VIHxWR7za/STVJfWsmn8NK+ouZmPn78Yt45xjbfu9rKy/lFXzP0B5NEZrz/r817r/SapL61g1/wOsqLuIjR3jawVY3/Egp9RfwhvmX8PcqqW8uu/JvNWoDFT+5co2vw149ikfZ/lxb2fz9onbgDWxJk5fmt82YHGkjGUzz2dx9emjrncuyYZ9v+N19Vexas417O7bTM9w57j77+xZT3GkjDfN/SCLYqfz0v5H81L3ls4niJXW84bFH2JF46Vs2vvghMud1XQ15y76IOcu+iA15XOprzoxL/WlerX7KapL6lg1749ZUXsRG7seGreMc461Hfexsu4SVs27hvJoNa09G/JWYxDzLxAdi8AtwEVjrnsAaHbOnQK8BPzDFPd/s3PuVOfc63JUHwAbnh9i/sIo85qKKS4x3np5JY/cP7qB8/v7+7jknVVeUZdUsObxAZxzuSxLtarWwNYJkMTSuhzDbiEA+Teit7+dWdWLAagsr6N/aD+Dwz3jlquunEN5af5GPYzl1bkE8OscLMw6If1tWjfjRMwMM6Omch6DQwfyXSq9g+3MqvJrLaulf6h7wlqjRaWA13BLjPnhkQ+9Ax3MqloEjNQ58TZ1LslLrQ9y4py35LlCj/IPCFQGGonEoPe+TgxSHC3Hxo5ucN5/EokhnHPEEwOUlsZyX9oYPf17mVlzOFcGBvczODT6M+CcY1/3VupnLwNgTt2p7O3amNc6g/JZBegd6mJW+QIAqkpm0R8/wGCid9Qyw8l+zIoOjfqbXb6QPb0vT0Otncwqa/JrnU1/vJvBeO+Ey8b90UXDyUHKovkdWaYMVP7lQk9/OzNT2oADBdQGLC2qoKa0ERvTTbN/aA8V0RoqojVErIjGihNp63t13P3b+l9lbuVSABoqTqBzYEdefr/1DHUwu2IhAFWls+kfnjxTAOKJQbr6ttNQdULOaxurd7iLWWWZZnUTe/rym9VBy79AdCw65x4BusZcd79zbuTXyGpgft4LG6O9LU793MOHh9TPKaK9LTFmmQQNc71D06JRoyoWoXtfMq91enWo1lwISq1BqdM5iCcjaV2OVUHJvxFVFQ3s3ef98Ozu2en/WM1/B9eRVFU0srfL2/Po1dldkHVC5ts0mUywu/MFZtfk/0SXsbIG2ro3AdDdu4uBof0MDh+ccNl1LXfx8Pov0zvYQVPd6/NZJrHy+sN19u1iYKh7wjpbOtZQX3MipcX5/+Gj/PMEKQPnzz2b3r52Hnvy8zz1zNc44bhLx/2wjkSKOOn4K3nqma/x2JOfp7e3nbmNednvM0qssvFQJ2H3wYkzcDjeR7SojIh5bYGykhoGhyb+POeszgB8VkfESupo630FgP2DuxmIH2AgPrqzojhSjnNJugf3ANDW+zID8fxuU4BYaR1tfofm/gG/1sT4jpXm2gt4Zs/P+d32b9Has4ElM/KX1cpA5V+uxCoa2bsvGG3AEYOJXsqLDudbWTQ2rjNs7HIRixCNlDKcHMh5fbHSetp6XgJgf38rA8PdU2ZbW8/LzK5YeGhHcz7FSmpp6xvJ6j0FmdVBzL/CqeS1+RAw8Rhmb9/I/Wb2jJl9ZLIVmNlHzGyNma3Z35WYbDERybOgDQOfBq85/2B0Bg7H+466mMVzVhFPDPDEum+wY+9TxCrmYFZ4r8/iuSl1tj1JrLIRK6C9fqky3aabtv+KmbGFzIwtzGOVnsUNb/Bq3XQzLR1PEytvhEm2a3PTFZy3/C+pLK1lz778Hgq4uN6vc/O3D9c5ZpsODB+kbf8GFtSOn8MoX5R/aclqG3BoePIRFkfSte9lYlVzeMNZf8+ZZ3ySl175JfH46B90yWSCXbuf5MzTP8Ebzvp7qqoa2Nby8FE/5tFaNPeNxOMDrH7h/7Fjj5+BhZjVAfmsAiyZcSbx5CCP7foBLd3PEyupH/e9YmasrL+UTZ0P88SuH1FkJeNHdeWl1td7te78H1oOPEesdHytANu7n+GMxnfw5oXXMT/WzKbOh/JapzLwiJR/R2HRnFVe/q39xuH8K9A2YFAsmXU2w4kBHt/2fVr2P0usrGHKbbrn4AYaq5flscLDltSMZPUPvfybLKvrLmFT18M80XorRZGScaNIcy1o+Rf4k7eY2aeBOPCjSRZZ5ZzbZWb1wANmtsnf+zOKc+5m4GaApaeUHtV44bqGKHtbDx/StXd3grqGojHLFNHWmqB+TpR43NFzMEnNzPw3KFRrbgSl1qDUOTK/hEwsW/kHozOwunJuRhm4o+0pdrY/A8BpJ17N8sVXjayTR1/8yrQfSjxiR9uT7Gz35gc77cSrWb7k7YBf5wtfobysMOqEo9+mr+56iKF4LysXvTdvtba0P82uzue8Wo97P81NVxyq9fcbvkbFFK+/WYTGmcvZtvcJ5s0+Nbd1dqw5XOeS942uc+NNVJSMrvNg/x76hvbx6MavA5BIDvP7jV/njUs/kdM6Ryj/jiwXbcDq2LyM8m9n62pad3tzhEaj5SxZ9FbMjIry2ZSVzaSvr53q6gWHlu/p3Q1ARflsAOprV9CyY8JYzrode55kV5ufK0v/iOXHH87Ax5778rhcKY5WEE8MkHQJIlbEwFA3pSW5HxEYpM/q9gPPs/PgWgDOaHg7K+ouPFTrwzu/S0Xx+HmEZ5bN5ay5XkZ39G2jL56fOay3dz93uNbGd7Ci/qLDte74zrhahxJ9HBhqZ0bZHAAaq05ize6f5aVWUAYeifIvMzv2PMmukTbgSVez/LiU/Ht+etuq2w++wM4e/7NZdxVl0apxy5QWVdKfODxibiB+kNKi8VMTjCxXFo2RdEniyUGKI2U5qbtl37Ps7H4BgNPnv4sVcy4FvG36yJZvUlE88dyUQ/E+uvt3c+rc/J20xctqb6rSMxquYkVtalZ/b/KsnuNndf92+obzd76BIOZfoDsWzexa4DLgLW6SyQOcc7v8/+81szuA1wM5SbClK0vYsS1O645h6hqi/ObuXv7lq6PPMLTqbRXc87MeVpxRyu/u6eOMc8umZQ+xag13rUGpE8AFLFTzpZDyb0HD61nQ4B0eNRzvJ5mME4lE2dXxLDNjC4kW5aZBk6kFDWexoOEsYEyd7c8UVJ1wdNt0Z/szdHa/whknfyCvI2Ca6s6kqe5Mv9YBkskEkUgRu7qeY2ZV07jDXJxz9A/to6J0Fs452rtforJ0du7rrH0dTbXeIVfDiSPXWVd9Aucv/6tDfz+49gt561QcofybXKFk4Py5ZzN/7tkAbH75Trr2vcqMmkUMDfXQ199OWfmsUcuXllTT27eXoaFeSkoq2bf/FSoqxp85MxcWNJ7FgsbxGdi69xlmxBYSjY7OFTNjZvVi9nZuoLF2Bbvbn6du1tKc1xmkz+rC6lNZWH3q4Vr9TtidB9cyq2we0cj4w/wGE32UFlWQdHG2dD/NcTPOyk+tNaexsOa0SWqdP67WaKSMeHKQ3qEuKktm0dm3nari3Gd1KmXgxJR/mZs0/9qfYUb1+PzLp4WxlSyMrZxymZqSRvqG99MX76asqIo9fS9xyuyLxy1XX34crb0bmVk6l7a+l5ldtiBnv9+aZp5O00zvJDOjMqX7BWZVLJj0MOe2ns3UVR1PUSR/XVGTZnXPuvSzuia/0/YELf8C27FoZhcB1wPnOecmPG7PzCqBiHPuoP/vC4AbclVTNGp86oZZ/OU1e0km4LL3VLHkxBJu/tJ+lq4o4Y1vq+Dy91TxL3/dwbvO20X1jAif/dr4U5vng2oNd61BqRMoqElpC0Uh5t+I3oEO1m+5A8yoKqtj2eIrD9327Es/ZNmiKygrqaalbTXbdj/G0HAPT6z/BrU1J7A8Zdmc19k/UidUldePrnPzD1m22K9zT0qd675B7Yz81gnpb9NN235JWekMntrwHQDqZy7luHnn57fWwQ7WtdwJQFVZHcsXXH641ldvY1nTZZRGq1jXcifxxCAOiJU3sGz+Jfmtc6CDdS13ea9/WR3L5192uM4tt7FswWWUTeNcbSOUfxMr1Axc1PRmNmz+GU+u+SrgOH7xRZQUeyNKnnrma7z+jD+jtLSaxU1/wLMvfBuLRCgrncGyk96Vy7Im1NvfzoZX7gCgsqKeZcdddei25zb+gGXHXUlpSTXHL3wb6176Ca+2PEiscg7z6k+fbJW5qTMgn1WAnuEu1rbfC2bEimfTXHvBodvW7Pk5zbUXUBatYmv307T3bcXhaIqtZHZ50/TVCl6t/khLgDW7f05znVdrc90FPNd2N2ZGNFJ6aERmvigDx1P+vXa9/R1s2OLnX3k9y5Ycblc9t+mHLFtyBaV+G3B7q9cGXL3WawOmLpsLg4leHt9zG/HkEAZsO/gcb5zzx0QjpSyb9WbW7L0Dh2N+5XJiJV5H/8v7n6CmpJ76iuOYX7WcFzvu45HW71McKWNlbX7aV71Dnazd/SvAqCqtpbnxcKfnMzt/wvLGiyiLelm9+8BGFs8+Oy91TaRnuIu1HfcBRqxkNs2z33botjVtd9A8+21+Vq+hvX8rzjmaYqfkPauDln82HWd5zZSZ3QacD9QCbcA/450BqxQYOc/6aufcR81sLvAd59wlZrYEuMO/PQrc6pz73JEeb+kppe77d8/J8rMQCbdzFm1/JtOz0lWd2OhWfv0DaS37+AX/nvH6gyDf+QfeodBnL78ui88ihwpwTrAJBeC7doQNB2ie4YBs19UvfZfuvtaM3qzKP0++M7A6Ns+deXp+R6YerUhAPquRvqHpLiFtkQNHP8dw3gXk++/xnT+ke3BPxsUqA5V/U4kMxo+8UAGI7s7f4bOvlSvP/4lUjpYNBud75d5tXw7Fb+BAjFh0zr1/gqu/O8myrcAl/r+3AFOPKxaRAha8+SWyTfknElbKP1AGioSXMlD5JxJWwcu/QHQsikh4BW1+CRGRbFH+iUiYKQNFJKyCln/qWBSRguUgcHtrRESyQfknImGmDBSRsApi/qljUUQKlwvMFGoiItml/BORMFMGikhYBTD/1LEoIgUtaGfEEhHJFuWfiISZMlBEwipo+aeORREpWA4jkYxMdxkiInmn/BORMFMGikhYBTH/1LEoIgUtaMPARUSyRfknImGmDBSRsApaLJJLSgAAIABJREFU/qljUUQKWtDOiCUiki3KPxEJM2WgiIRV0PJPHYsiUrCcC16oiohkg/JPRMJMGSgiYRXE/FPHoogUtGTAQlVEJFuUfyISZspAEQmroOWfOhZFpKAFbX4JEZFsUf6JSJgpA0UkrIKWf+pYFJGC5TCSATsjlohINij/RCTMlIEiElZBzD91LIpIQQvYzhoRkaxR/olImCkDRSSsgpZ/6lgUkcIVwIlrRUSyQvknImGmDBSRsApg/qljUUQKW9B214iIZIvyT0TCTBkoImEVsPxTx6KIFLSg7a0REckW5Z+IhJkyUETCKmj5F6wZIUUkVByQTFpal2wws0+ZmTOz2qysUETkKCn/RCTMlIEiElZBzD+NWBSRwuWAPO2tMbMFwAVAS14esIAlS4robaqc7jLSUjSYnO4S0lLaPjDdJaTNEgE69iJ6DO8fVf5NC0s4ogcHp7uMtMRjpdNdQlqiB/qmu4S0JWqrp7uEtBV1HpzuEnJLGZh3Fk9S3BWMz+vwrIrpLiE9kQCNOrMA1Ro5htt/EMj8O8ZfEREJOufSu2TBl4HrCdyMFiJyrFL+iUiYKQNFJKyCln8asSgihS0PTTwzuxLY5Zx7wYK0t05Ejm3KPxEJM2WgiIRVwPJPHYsiUsAsk4lra81sTcrfNzvnbj60JrPfAI0T3O/TwD/iDQEXESkQyj8RCTNloIiEVfDyTx2LIlLY0t9b0+Gce92kq3HurRNdb2YrgMXAyJ6a+cCzZvZ659yezIoVEcki5Z+IhJkyUETCKmD5p45FESlcDlyWznY16UM4txaoH/nbzLYBr3POdeT0gUVEpqL8E5EwUwaKSFgFMP/UsSgiBU7z3YhIWCn/RCTMlIEiElbByj91LIpIYcvz+fmcc4vy+4giIpNQ/olImCkDRSSsApZ/6lgUkcKW51AVESkYyj8RCTNloIiEVcDyTx2LIlK4HJD+GbFERI4dyj8RCTNloIiEVQDzTx2LIlLQXMD21oiIZIvyT0TCTBkoImEVtPxTx6KIFLYcnxFLRKRgKf9EJMyUgSISVgHLP3UsikhBs4DtrRERyRbln4iEmTJQRMIqaPmnjkURKVyOwE1cKyKSFco/EQkzZaCIhFUA808diyJSwCxwE9eKiGSH8k9EwkwZKCJhFbz8U8eiiBS2gO2tERHJGuWfiISZMlBEwipg+aeOxSx74qF+vnJDF4kEXPHeKq75eM2o24cGHTf8dQeb1g1RMyPCjTfVMWfB9LwMqjXctQalTpL5f0g5ers2P0T7jmcBcC5J/4G9nHn5ZyguqRi1XPfeV9i29pckk3GqZszn+DPejUWK8lZnfLifzc/9mMH+/TiXYN5xb6JxwZmjlkkkhtj4zI8Y6O3EzJjVsIzFSy/OW40jhuP9bNjyC/oH9hGJRFm25EqqKhrGLbdjz5O07FlN/2AXbzr9ekqKK/Nfa6Kf9Tt/Sd/QPiIWZfn8y4iV1U+6/KbW+9i173nesvzv8lilt03Xt9xF36C3TZc3XUGsfHyd67ffRXffbsBRUTab5qYriRaV5K9Q5V+gBOZ9BcTjA6zfdDuDg904l2TB/FXMbTxj3HJ79r7A9paHwaC0pJplJ787r9kynBhgbcd99A13U2RFNNddSKykdtxynf0tbO56hKRLUF3aQHPtBUQskrc6+f/s3Xl4nOVh7/3vLY1G60iydtmyZMvYYFvyggGDISEEMGC2ENIkTU6BliahaXsSSE9O++acpknb9817esLpmzRXErKU7AkNECAlECBgEsAGGxtsjI1X2bJk7Yu1zna/f8xYlqyRLRnNM/P4+X2uay5LM8/M/OaemZ/G9zwL8ef/4GMMj3bHnv8Fibv6cNtmDrdtYni0hytX/bcUdfUIOzqeZijcS6bxnWZcm9jT9SIWS6bJorHievKz5jgXVB3oGqHIMDubf81QsJeMjEwa5iX++7+j+Ql6BpvwZWYD0DDvZgpzqxzN6qr+6/rtyf4rWz91//X8PtZ//orU9F9khJ2t/8lQqJcM46OhegOB7PJJy1lr2df5Isf6d2NMBvOLV1NXcpHjWdV/s8/ZV9wZGGO+b4xpN8bsHHfevxhjdhtj3jTGPGqMKY6fv8AYM2yM2R4/fWuK2ywxxjxjjNkb/zdpr4ZIxPLVv+/m/gcr+Nkzc3nm8UEO7g1OWOaJhwYIFGXwy43z+OjdhXzjKz3JiqOsyur6nLH9S5jpnVzO7f13wrzz38eqa+5j1TX3Ubd8A4Xl9ZMmFa2NsnfLz1lyycdZfe3fkJ03h/amrcmONkHLoVfIC1Rw4ZWfpfGyT3Fw138SjYYnLVdT/14uuupvWP3ez9Dfc4ju9t2O5gQ41PIigbwqLl3xaZYvuo09Tb9JuFxRoJYLl95Bjr/Y4YQnHWh/iUBOJesWf5LGmlvY0/LbKZftG2ohFBl2MN1JB9r+QCC3inVL76Gx7gPsaX4q4XLn11zHuqWfYt3Se8jNKuRIx6vOhVT/ua7/XPG6imtu2UR+XgWXrPlrVq/4c/Yd+M2kDozaCHv3/yerV97N2jX/lYL8KpqPbnI05/6+zRT6K7ii5g4ay2/g7a7nJy1jrWVHx1OsrLiRK2ruJNcXoGXgLUdzAhxs/T2BvCoua/g0DQtvY8/hxM9/cUEta86/gxx/UcLLnbC/dzOF2eVcUXMnjeXX83bn5HEFeKvzOVZUbODymjuYW7CU/T2bnQupDnRVBx7oeJlAbiWXL/4EjTW3sLv1mSmXXVJ1NevO+wTrzvuE45OK4Kb+e5VCfzlXzPsTGsuu5+3uFyYtY61lR+fTrCzfwBXz7iDXV0jLwC5HcwIc6HqZQE4lly+8m8bqm9jd9mzC5Vr6djAS6ueK+k9yRf0nqCpc6nBS9V+ypNXEIvAgcP0p5z0DNFhrVwDvAH837rL91tpV8dM9U9zm3wLPWWsXA8/Ff0+KXduD1NT5mFebRZbfcM3N+bz424n/afr9b4fYcHsBAFdtyGPLyyNY6/x6rsrq7axuyQmxI2JN53QOeBAX918inc3bKJ+/etL54eAQJiOT3EDsm8ziysV0Hd3hZDSMMUTCo1hriUaC+LLyMKd8u5uZ6ae4bBEAGRk+CgrnMTrc52hOgIHhDuYU1gOQn1vOyGgvo6GBScsV5leTm+3gN6kJDI52UlKwAID8nDKGQ4mzWhvlnWPPsaTqaocTxgyOdFASWADEcwb7EuY8sUaFtZaIDYNx9gOc+s9d/eeW11WMIRKJdWAkMkqWL3dSB8Y2w7JEIkGstYQjI2RnBxxNORjspiR3PgAF/hKGw/2MRgYnLBOKDmNM5tiaJKW5dRwb3OtoToDB4Q5KChcCsa4eDqZxVwe7KMmpBaDAX8pwuI/R8GDCZcPR2BfPoegoOT5n165UB7qnAwdGOijNXwBAQXZZ7PUfnvz6Tw8u6b9QNyU5M+2/Wo4NOd9/A6NdlObVxbJmlzIcStwph3u3UV92BSb+dy/b4U4B9V+ypNXEorX2RaD7lPN+a6098RXCJqBmhjd7K/CD+M8/AD7wrkKeRkdbmIq5JzcVrajOpKMtcsoyESrnxjb38/kMBYEM+nqcX89VWZPDLVndkhM4eVSsM51czu39d6pIOEjvsT2UzGucdJnPn4+1UQZ6jgDQ1byD4HCvU9EAqF6wjqGBdjY/+89s3fh/WLT85skfKscJh4bpbn+b4rLzHEwZE8iror0n9u1z30AzI6N9jAb7Hc8xHYGcCtr6Ymt19g0dZSTYx2j4+KTlDndtoaJwCdlZzn5IPyGQW0lbbzzn4FFGgr2MhhKP6c6mx9i4834GRzqpLb/EyZjqP5f1n2teV0DN3EsZHOrgpc1f4dWtX2fxohsndWBGRibnn3crr279Oi9t/gqDgx3MrXJ2k7WAv5y2wX0A9I62MhLuZ+SUyYqsjFysjdI3egyAtsG9jCTonWQryKukvedt4ERX96ZvV2eX0xaffO0diY9rZPIkUEPZerYee4Tnm75Ny8Au6ovVgclwLnRgIKeStv49APQOHWUk1MdIKPH7cG/bC7y09zvsbn0m4dYiyeae/iujbehE/x1L6/4L5FTQdjz+/A+3xJ7/BDmGgz0c63+bVw49yNYjDzEY7J60TLKp/5JjWhOLxpgcY8x9xphHjDEPG2PuNcbkJDtcAn8GjN8GbKExZpsxZqMx5j1TXKfSWtsa//kYMHlnJyIiU1D/nZ2e1l0EShdM2gwaYmsLnn/Jxzn4xhO8+buvkZmV7fgaOz3te8gvnMvaa77Ahe/9DPt2PkY4NJJwWRuNsPv1nzJ3wTpy80sdzQmwoPoKwuERNu34JkeObSaQX4UhfTZ9GG9h+eWEoyO8svc7HO56jUBuFZySdSR0nLa+XcwvvTjxjThgYeUVhCMjvLL72xzueJVAXjVTfSRqqLuVKxvuJT+nnGM9zm9emWpp0oGu6D83va66e/YSKKjm8rV/y8Vr/op39v2acHhiB0ajEY62bubiC/+Sy9f+LQUFlRw6vNHRnPXFFxOOjvLS0R9xuG87AX/FpP4zxrCy4kZ2d23klaM/IdP4T/tFUbIsrI4//zu/yZH22PNvUrI26pnVF18SG9fmH3K4fxuB7MnjCtDUt5U1VR/kqrpPURNoYHfXC86HTaE06T9wQQfWl68jFBnh5X3f4XDXFgK5iT+rLKl8H1csvofLFv0pocgwBzpfSWashFzTf0Un+u/HsffpVP1XvoHd3Rt5peWnZGb4MSlYd6y+5FJC0VFePvh9DvdsJZBTmfD5j9oImSaTyxbcRU3xSna2Pul8VvVfUkz3SAw/BI4DX4///jHgR8AfJSNUIsaYLwBh4Cfxs1qBWmttlzFmDfArY8xya+2UXw1aa60xiVcYNcZ8EvgkQNW8szuAQHmlj/aWk9+6tLdGKK/MPGWZTNpaIlRU+wiHLQPHoxTNcf7Nr6zJ4ZasbskJabGK9znff/H7GOtAf+7M9tHXuv8l2g7G9juy7PK78ecW0dm8nbIEm0GfEChdQOP7Pg1Ab9seho93zOg+z0bLoZc5dji2LzNfVi51S9ZjjCE3v4ycvBKGBzoIzJk/6Xp7dzxCbn4Z8+qn+uw++44c28zRjthBcFaf/3GWL7oNiG06+dL2f035ZnTjHe7awtHubQCsXvBRGmpuAWJZf7/n38jzT8x6fPgYQ8Ee/rDnGwBEoiF+v+cbvOf8v0xuzo7XONoVH9NFH6Oh7taTOXd9jbzTjKkxGVTNWc6htpeZV7oqqTkn3G/q+w9S3IFO919O1sz2e+em11VzyyZaWl8DwOfLpX7BNRhjyMstJSdnDkNDHRQWnuzAgcHYnERebuwLlYqyRg4feTHpOZv6t9N8PLZ7jDWVt9FYfh0QG9ONzd8jL8FzNCdnLmvnfgSAzqFDDIWd2S/0kbZXae6I7SN49ZKPs3zhB8ay/uHN9Orqpr5tJ8e16oM0VsS2vLXWsvHIdyeNazAyRH+wg+KcagCqCs5nS+vDjmZOgw485z8DTuy/whllO9y1heae2N//C+s+SmPNzSfujxff+cakv//A2JYKxviYV7ySQ13O7LfQXf0X29XmmsoP0Fg2vv++P3X/Vcf7b7iJoZAz/Xe4ZyvNvW8AcGHNH9FYfeNY1hf3f5O8rMn/n8jJClAROB+AioIljk0sqv+Sb7oTiw3W2mXjfn/eGOPYXkGNMXcBNwFX2/hO3qy1o8Bo/Oetxpj9wBJgyylXbzPGVFtrW40x1UB7ovuw1j4APACwdEX2WT2NS1f6OXIoTMuREOWVPp59YpAvfW3iEYauuDaPJx8eoHFNNs8/OcSadTkp+TZTWb2d1S05sUA05d/2n/P9F7+dsQ4smDN/Rh1YvehyqhddPvZ7ODRMf8cBFl/8sSmvExwZwJ9TQDQS5uieF6i5IPn72pu7YB1zF6wDYO+OR+nt3EdR6UKCo8cZHuggJ79k0nUO7X6acGiExStuT3q+8eZXrWV+1VogdqTRaDRMRoaPlo6tFBfW4fOlYoWJxGpLL6K2NLZ5UCgyQjQaISMjk6M925iTXzu2P7kTygsX877Ce8d+f+6t/zfpk4oAteUXU1seW0syFB6Xs2sbc/LrJuW01jIc7CEvuwRrLR19e8jPcXCN1fToP0hhB6ai/4ry5s6o/9z0uqqZeyk1cy8FYM/ex+ju2U9x0QKCwQGGhjvIyZ3Ygdn+QgaH2gkGB/H78+np3Ude3uSjfM62usJV1BXGJlpDkRGiNkKGyaT5+A5Kcubhy8iedJ3RyBDZmXlEbZgDfa+xqHht0nMCzK+8hPmVsc3jxnf10c7XmROow5eZPl1dV7SauqLYF36Tx7Vm0rj6MnIIR0cZDHaT7y+ha6iJgizPdeA5/xlwQv/lVs+s/6b4+9/cs52SBH//AUZDx8nOCmCtpe34HgoSHDk4GVzffwM7p99/Rc5ssls7Zw21c9ZMztr3BiV58xM+/xUFS+geaiLPX0zP0OGEk8/JoP5LvulOLL5ujLnUWrsJwBizlsnllRTGmOuBzwNXWmuHxp1fDnRbayPGmHpgMXAgwU08DtwJfCX+72PJyurzGT735RI+e0c70Qjc9OEC6pf4eeD+XpY2+nnPtXnc/OECvnRfJx+68iiFxRn849cnH9rcCcrq7axuyQmkw74j1H8z1H10J0WVS8j0+Secv+sP3+O8NR/Cn1tEyzsv0HPsbay1VNVfRlGFs/surF18Ne9sf4itG/8PYFm49Aay/LGdMr/+4r9y4Xs/y+hwL0f2/Y7cgnK2/f5rQGxysqrW2X2sDA53suvAowDk51awrP7Wscu27f4xy+pvIdtfyOFjm2hqeYlgaIBNO75JWfHiCcs6knWkk53NjwNQkFPO8pqbxi57/eDPWFZzEzkp2q/ieIOjHexsegwwsZy1N49d9vr+n7Ks9mayfQXsbPoV4UgQiyWQW8my+Tc6GzT1/Qcp6kA39p9rXlfAgtqr2LXnYTZv+RpgOW/h9fizYh346tavc8mavyY7u5CFte/n9Te+g8nIICe7mGXnf8jRnAOhbnZ0PAXGEMgqpaFs/dhlW449QkPZenJ8BRzse42OoYNYLLWBlZTm1jqaE2L999aBR8HEnv9lC0/27+vv/JhlC24hx1/I4bZNHGqNdfUrb32TsqLFLF/obFePjSvExjW+VijAltZHaCiPjWtD+Xq2tT2BMQZfRvbY2qOOSX0H6jPgNA2OdrKj+Qkg9ve/Yd7JXtt66Ocsn3cjOVkB3mx+jGA49nACOZUsnntDMmMl5Kr+63waMAT8pTSUXjt22Za2R2kovTbef1voGD6ItZbawIrU9F+wix0tv471n7+MhuoNY5dtPfIQy6tuICcrwMLSS3mz5QmaeraQabJYXuX886/+Sw5zuqO8GmN2EHtIWcD5wOH473XA7lO+wXn3YYz5GfA+oAxoA75I7AhY2UBXfLFN1tp7jDG3A18GQkAU+KK19on47XwX+Ja1dosxphR4CKgFmoAPW2tPu5fQpSuy7b8/UT2bD03E8y5b0LTVWjujvR5nz59va+6998wLAgc+97kZ3/7peLX/ILbG4sqrPzObDy9pMkdTcEChs5DdkXj/jekoYyiU6gjT50urY9BNadPu79A31DKjr55T2X/gbAemU/8V5c21l17widl6aEkVDkxeGyQd+Y90nXmhNBEpm9mmoKmU2eX8ARrOxsvNP6Zv9NiMV73RZ0DnO7Aot9pedt7ds/nQkiZUMnkf3unIf7gz1RGmzea4428KgAm657PqUwe+6qr/A5+tM62xeNMZLp9V1to/TnD296ZY9mEg4Ybu1to/H/dzF5D8bexEJDlS922N+k9EUiu131Y71oHqPxFJSJ8BEy2rDhTxApetsXjaiUVrbZNTQUREEkpRqar/RCTlUvihUh0oIimnz4Ai4lXn0sSiiEgqGQvGZTuuFRGZDeo/EfEydaCIeJUb+08TiyKS3lz2bY2IyKxR/4mIl6kDRcSrXNZ/mlgUkbRmXFaqIiKzRf0nIl6mDhQRr3Jb/2liUUTSm8tKVURk1qj/RMTL1IEi4lUu6z9NLIpI+rLu+7ZGRGRWqP9ExMvUgSLiVS7sP00sikh6c1mpiojMGvWfiHiZOlBEvMpl/aeJRRFJayaa6gQiIqmh/hMRL1MHiohXua3/MlIdQERERERERERERNxHayyKSHpz2WrgIiKzRv0nIl6mDhQRr3JZ/2mNRRFJX/Ed107n9G4ZY/7aGLPbGPOWMeZ/vftbFBF5F9R/IuJl6kAR8SoX9p/WWBSR9ObAtzXGmKuAW4GV1tpRY0xF8u9VROQM1H8i4mXqQBHxKpf1nyYWRSS9ObMa+F8AX7HWjgJYa9sduVcRkdNR/4mIl6kDRcSrXNZ/2hRaRNKWIXZErOmcgDJjzJZxp0/O4K6WAO8xxmw2xmw0xlycjMcjIjJd6j8R8TJ1oIh4lRv7T2ssikj6mtm+IzqttRdNdaEx5lmgKsFFXyDWhSXApcDFwEPGmHprrct2mysi5wz1n4h4mTpQRLzKhf2niUURSW+z9LHOWnvNVJcZY/4CeCReoq8aY6JAGdAxO/cuInIW1H8i4mXqQBHxKpf1nyYWRSS9OfN98a+Aq4DnjTFLAD/Q6cg9pyuXfE8f8btjjx59S/JTHWHait4ZTHWEacsIRlIdIbnUf86LRsnoH0p1imnx97nkvWpMqhNMW0afO557wD3j+m5iqgOdFY1iBtzxHsgKhlIdYXrc8j4FzGgw1RGmL8Mdn//fFZf1nyYWRSStzWA18Hfj+8D3jTE7gSBwpzaBEZFUU/+JiJepA0XEq9zWf5pYFJH0ZYGoA3djbRD4L8m/JxGRaVL/iYiXqQNFxKtc2H+aWBSRtObQtzUiImlH/SciXqYOFBGvclv/aWJRRNKby0pVRGTWqP9ExMvUgSLiVS7rP00sikhac9u3NSIis0X9JyJepg4UEa9yW/9pYlFE0pvLSlVEZNao/0TEy9SBIuJVLus/TSyKSPqyuK5URURmhfpPRLxMHSgiXuXC/tPEooikLYP7VgMXEZkN6j8R8TJ1oIh4lRv7TxOLIpLW3FaqIiKzRf0nIl6mDhQRr3Jb/2liUUTSm8tKVURk1qj/RMTL1IEi4lUu6z9NLIpIenNZqYqIzBr1n4h4mTpQRLzKZf2niUURSV/WfauBi4jMCvWfiHiZOlBEvMqF/aeJRRFJby4rVRGRWaP+ExEvUweKiFe5rP80sSgiac1EU51ARCQ11H8i4mXqQBHxKrf1nyYWRSStuW01cBGR2aL+ExEvUweKiFe5rf80sSgi6cviutXARURmhfpPRLxMHSgiXuXC/tPE4ix75YVh/vXL3UQicMtHCrjj00UTLg+OWr58Xye7dwYpKs7gn/6tnOr5qXkalNXbWd2S022l6nXh0DB7X/sZo8O92GiUuYuvpHLBxZOWG+hpZt/WXxCNhCiuuoCFK27FGKOcCbS+9TxdB7fFfolGGO5vZ/UffQlfdt6E5Q689HOOt+0n058LQP26j5BXMs/RrKHwMLsO/IrhkR4yMnwsq7+VgrzKScsNj/SwY99/EAoPU5hfzfJFHyQjw7l+CYWHeevw4wyNxnIur72FQG7FpOXeanqcvqFWwJKXU0pD7a34Mv2O5VT/uUsoMsKOjqcYCvWSaXw0lF9HILt80nJdQ03s6dqIxZKZ4aex4nrys+akIOvTDIXHZfWXTc46fJg9XRuJ2giF2ZU0lF9HhslIw5xN7Ol6MTamJitlY7rz2G8YCvWSYTJpqLoh4fO/+chPiUSDAATDgxTlVLN63gcdz+qK16o60DVCkRF2dP2WoVAfmSaThrL1U3dKz+9jneKvoKFsvaOdciKrG96rocgIOzqfPjmmp+vp7hdP9nSKxtRVWdV/s87ZZzHOGPN9Y0y7MWbnuPP+xRiz2xjzpjHmUWNMcfz8BcaYYWPM9vjpW+Ous8YYs8MYs88Y8zWT4H97JuZr8WXeNMZcmKzHFYlYvvr33dz/YAU/e2Yuzzw+yMG9wQnLPPHQAIGiDH65cR4fvbuQb3ylJ1lxlFVZXZ/TEFsNfDontzhX+++EY/tfJrewklVX30fDe++haccTRKPhScsd2P4Iiy78EKvX/3dGBjrpbduT7GiuzAlQvfwqGm66j4ab7qNm9QYCFfWTJhVPmL/mprFlnZ5UBDjU8iKBvCouXfFpli+6jT1Nv0m43N4jz1BbfRmXr/oMPl8uLR2vO5rzQNsfCORWsW7pPTTWfYA9zU8lXO78mutYt/RTrFt6D7lZhRzpeNWxjOo/9/Xf/p5NFPoruGL+XTRW3MDbXc8nXO6tzmdZUXkjl8+/k7kFF7C/Z1Oyo02yv3czhdnlXFFzJ43l1/N25+Ss1lp2tP+GlRU3csX8u8j1FdJy/K20ywnwVudzrKjYwOU1dzC3YCn7ezY7mhPgQPcrBHIquHzBn9JYfSO7259LuNza+R9jXd1drKu7i6LceVQEljic1B2v1XOtA8/5/ut7lUJ/OVfM+xMay67n7e4XJi1jrWVH59OsLN/AFfPuiHXKwK5kR5vELe/V/X2bY+/TmjtoLE/8PrXWsqPjqVhP19xJri9Ay4CzPe26rOq/pEjJxCLwIHD9Kec9AzRYa1cA7wB/N+6y/dbaVfHTPePO/ybwCWBx/HTqbQLcMO7yT8avkxS7tgepqfMxrzaLLL/hmpvzefG3wxOW+f1vh9hwewEAV23IY8vLI1jr/CtCWb2d1S05AUzUTuvkIg9yDvbfGGOIhEax1hIJB/H58zCnfBMZHO4nEhohUFKHMYby2jV0t+yc4gY9nvMUXYe2U7pwdUoznM7AcAdzCusByM8tZ2S0l9HQwIRlrLX09B+komQZANVlq2jv2e1ozsGRDkoCC2I5c8oYDvZNygngy8wGYpkjNgwOr62q/nNX/w2GuijJrQWgwF/KcKiP0fDl3a7eAAAgAElEQVRgwmXD8bVgQtEgOZkFyY42yWCwi5KccVnDk7OGosMYk0m+vwSA0tw6jg3uTbucJ5wc01FyfPmOZTxhINhF6fjnP9w/ZVaAcGSU7qEmKvMXOxVxjFteq+dYBz7IOd1/3ZTkzAegwF8Se/1HpuiU+Fpfpbm1HBtytlPAPe/VwWA3JbkzHVPne9p1WdV/SZGSiUVr7YtA9ynn/dZae2J1kU1AzeluwxhTDRRaazfZ2GzHD4EPJFj0VuCHNmYTUBy/7qzraAtTMffkplwV1Zl0tEVOWSZC5dxMAHw+Q0Egg74e5w/5o6zJ4Zasbsk5tn+J6Zxc4lztvxOq69cxfLydLU/+I9uf/SoLVtw6ecJupA9/7slN77NziwiO9CczlmtzjhcJB+lr2c2c2hVTLnN0+1PsfOKrHH7tMaKRyWtgJlsgr4r2ntjaB30DzYyM9jEanDhmofAQvswcMkysX3L8hYwGjzubM7eStt7YZGbf4FFGgr2MhhI/tzubHmPjzvsZHOmktvwS50Kq/xJK5/4L+Ctoi/8nqXeklZFwPyORya/thvLr2Nr6MM8f+hYtx9+ifo6Dr6u4QHZ5gqwTJ9ezMnKxROkbPQZA2+A7jIQdfq9OIydAQ9l6th57hOebvk3LwC7qi1MxphW0DbwDQO9wKyOhvtOOV9vgXkrz6sa+wHCSK16r51gHnvv9V0bb0D4AekePxV5T4QSdYsd3yl7HOwXc814N+MtpGzwxpq3pPaauyqr+S4ZUrbF4Jn8GjN9+aqExZpsxZqMx5j3x8+YBzeOWaY6fd6p5wJFpLCciachtq4HPAlf3X0/7O+QXz+WiDf+TlVffy8E3HiUcGknmXZ4Vt+Qcr7d5FwXlC6bcDLpm9QYabvk8yzZ8hnBwiNa3fudwQlhQfQXh8AibdnyTI8c2E8ivwuDsWn7TsbDyCsKREV7Z/W0Od7xKIK+aqT4SNdTdypUN95KfU86xHmc32VH/uav/6udcQjg6wktHfsDhvm0EsiswCV5XTX1bWVN9O1ctuIeaQAO7O19IZqzEWYsvIRwd5aXmH3K4/0TWie9VYwwrK25id9cLvHL0J2Rm+B3fx+x0ckJ8TKs+yFV1n4qNadcLjuYEqJ+zllB0lJebHuRw71YC2ZWn7b9j/W9TFVjqYMKT3PJa9VgHurv/ii6OvVeP/jj2XvVP0SnlG9jdvZFXWn4a65QUTEe45b1aX3xiTH/E4b7tU49pxY3s7toY62njn/RFubKeklX9lxRpd/AWY8wXgDDwk/hZrUCttbbLGLMG+JUxZnkS7veTxFYVp2pe5lndRnmlj/aWk2uItLdGKK/MPGWZTNpaIlRU+wiHLQPHoxTNcf4NpazJ4ZasbskJpNU3McmWqv6L3/dYB/pzi2d03db9L9F2KLY/K19WHrXL1mOMIbegjOz8EoaPtxMoqR1b3p9TRHC4b+z30eE+/DmFs/Aozo2cAG17XqJjbyzrkvffjT+viO4zbAbtz4tlM5k+yhZdzLFdGx3JeuTYZo7G95G4+vyPs3zRbUBs8+GXtv8rudkTd3Sd5csjHBkhaiNkmExGgv1k+wNJz3m44zWOdsVzLvoYDXW3juX8/a6vkZc99Q65jcmgas5yDrW9zLzSVUnPOkb953j/5fhm9lps6ttGc/+bAKypvp3GihuA2Otq4+HvkJd1yoHRIkP0j7ZTnBNbeaiq4AK2tP7y3T6E6Wc9viOWteqDNFZcfzLrke9OygowJ2cua+d+FIDOoUMMhZK/v+WZ5gxGhugPdowb0/PZ0vpw0nMCHO59nea+2PN/4bzbaazaMJb1xYPfJi8r8d/TYGSIvpFWVs29zZGc4K7X6hiPdGDa9F/mDPuvfzvNx2O7iFlT+QEay64D4q+p5u9P3SnVHwGgc7jJkU4B97xXY2Ma77/K22gsHz+m3ztNT8fHdOgQQ2FnxtRVWdV/SZdWE4vGmLuAm4Cr46t3Y60dBUbjP281xuwHlgBHmbi6eE38vFMdBeafaTlr7QPAAwBLV2Sf1dO4dKWfI4fCtBwJUV7p49knBvnS1yYeDemKa/N48uEBGtdk8/yTQ6xZl+P4t7/KqqxuyQnp9U1MMqWy/+K3P9aBBXPmz2jUqxddTvWiywHYv+1hetv3UVhWT3DkOCPHO8jJL52wvD+3kMysHI53N1Ewp5aOw1vHrp9MbskJUHn+5VSef/K+wsFhjrftp/7yP57yOsGhfvx5hVhr6T3yFrnFVU5EZX7VWuZXrQViR1uORsNkZPho6dhKcWEdPl/OhOWNMcwpXEB79y6qShtp7dxO+ZwLkp6ztvxiassvjuccIRqNkJGRydGubczJn7yJk7WW4WAPedklWGvp6NtDfk5poptOGvWf8/1XlFM1o1GvK1pNXVFswj80bsK8+fgOSnJq8GVMfF35MnIIR4MMBrvJ95fQNdxEgd+Z19VMswKMRobIzswjasMc6H2NRXPWpl3O2JiOnhzToSYKspwZ09riC6ktvnBy1r43KcmdP+Wmk23H91BesIjMDOf+K+am1+oJXujAtOq/7MqZ9V/hKuoKY1+2TXhNDeykJGfemTul7zUWFTmzealb3qtTjunxHdMf0+Lk97Trsqr/ki5tJhaNMdcDnweutNYOjTu/HOi21kaMMfXEdkJ7wFrbbYzpN8ZcCmwG7gC+nuCmHwf+yhjzc2At0GetbU3GY/D5DJ/7cgmfvaOdaARu+nAB9Uv8PHB/L0sb/bzn2jxu/nABX7qvkw9deZTC4gz+8euTD8PuBGX1dla35ARc923N2TgX+u+E+Rdcw96tv2D7s1/FYqlr2EBWdmwn+tufu59VV98HQP2q29i79RdEIyHmVF5AcWXyJ5bcmPOE3iM7Kao+n8ysiR983nnuuyy47I/w5xVx4A8/ITw6CNaSWzKPBWtvdzzn4HAnuw48CkB+bgXL6m8du2zb7h+zrP4Wsv2FnDf/Wnbu+yX7j/yOQH4V88qTfsDKiTlHO9jZ9BhgKMgpZ3ntzWOXvb7/pyyrvZlsXwE7m35FOBLEYgnkVrJs/o2O5lT/uav/BkLd7GiPbckY8JfREF97A2BL68M0lF9Hjq+AhvL1bGt7HIPBl5E9tkaekwZC3ezoiB0NPZBVekrWR2goX0+Or4CDva/RMXQAi6W2cOXYAQ/SLWdsTJ/AmPiYjlvOKYPBLnYcexKAguwyGipvGLtsa/MvWV513dgasa3Hd7OwxJn/UCfimtfqOd6B51z/dT4NGAL+UhpKrx27bEvbozSUXhvrlL4tdAwfxFpLbWCF450C7nmvjvWfMbH+K1s/dtmWY4/QUBbv6b7X6Bg6GOvpgPM97cqs6r9ZZ1JylFdjfga8DygD2oAvEjsKVjbQFV9sk7X2HmPM7cCXgRAQBb5orX0ifjsXETvCVi6xfVL8tbXWGmPuAbDWfsvEVrH6N2JHzBoC/tRau+V0+ZauyLb//kRS928r4jmXLWjaaq29aCbXyS+dbxs23DutZV/98edmfPupkO79B7E1Fle+/zOz84AFgFB++u1ncCpF70x9ZMR0kxGMnHmhNLBp93foG2qZ0YtA/Zea/ivKqbLrav5kdh5wsqXgM/y5zvrObndIqWAizh+k8Gy83Pwj+kaOzfiP4LnWga7ov+xKu27ux2fnASeZ9WelOsK0mJDzB9LzhIx0PVTIZE/t/9+e+D9wStZYtNYm2pbre1Ms+zCQcEcp8YJsSHD+t8b9bIG/PLukIpJKBvetBn4m6j8RmQ71n/pPxMvOtQ5U/4nIdLmx/9JmU2gRkYS0RoaIeJX6T0S8TB0oIl7lsv7TxKKIpDW3fVsjIjJb1H8i4mXqQBHxKrf1nyYWRSR9WVy341oRkVmh/hMRL1MHiohXubD/3LPXSxHxJBOd3uld3Ycxq4wxm4wx240xW4wxl8xOehGRs6f+ExEvUweKiFe5rf80sSgiac2JUgX+F/Ala+0q4O/jv4uIpJT6T0S8TB0oIl7ltv7TptAikr4sTu241gKF8Z+LgBYn7lREZErqPxHxMnWgiHiVC/tPE4siktZmsOPaMmPMlnG/P2CtfWCa1/0s8LQx5n8TW5N73fQTiogkh/pPRLxMHSgiXuW2/tPEooikt+mXaqe19qKpLjTGPAtUJbjoC8DVwL3W2oeNMR8GvgdcM8OkIiKzS/0nIl6mDhQRr3JZ/2liUUTSlmFG39aclrV2ypI0xvwQ+Ez81/8Avjs79yoicnbUfyLiZepAEfEqN/afDt4iIunLWkx0eqd3qQW4Mv7z+4G97/YGRUTeFfWfiHiZOlBEvMqF/ac1FkUkvTmy31o+Afx/xhgfMAJ80pF7FRE5HfWfiHiZOlBEvMpl/aeJRRFJa7O1GvjpWGv/AKxJ/j2JiEyf+k9EvEwdKCJe5bb+08SiiKQvC7z7VbxFRNxH/SciXqYOFBGvcmH/aWJRRNKbuzpVRGT2qP9ExMvUgSLiVS7rP00sikhac2I1cBGRdKT+ExEvUweKiFe5rf80sSgiaW0WjnYlIuJK6j8R8TJ1oIh4ldv6TxOLIpK+LK5bDfycYMBmpjrE9JhIqhNMj38gmuoI09a/KD/VEaYtcGg41RGmxWaYs7gS6r9UsEDUJe9XcxavqxSwPpf8QQFMxCXPvReoA1PAuKZXXMNF42kzM1IdYdrO+a52Yf9pYlFE0pYBjHVZq4qIzAL1n4h4mTpQRLzKjf2niUURSW/n+BdSIiJTUv+JiJepA0XEq1zWf5pYFJG05rZva0REZov6T0S8TB0oIl7ltv7TxKKIpC8X7l9CRGRWqP9ExMvUgSLiVS7sP00sikgas647IpaIyOxQ/4mIl6kDRcSr3Nd/mlgUkfTmstXARURmjfpPRLxMHSgiXuWy/tPEooikLwvGZTuuFRGZFeo/EfEydaCIeJUL+08TiyKS3lz2bY2IyKxR/4mIl6kDRcSrXNZ/mlgUkfTmrk4VEZk96j8R8TJ1oIh4lcv6TxOLIpLWTNRl64GLiMwS9Z+IeJk6UES8ym39p4lFEUlfFnBXp4qIzA71n4h4mTpQRLzKhf2niUURSVsGi3HZ/iVERGaD+k9EvEwdKCJe5cb+08SiiKQ3l5WqiMisUf+JiJepA0XEq1zWf5pYFJH05rJSFRGZNeo/EfEydaCIeJXL+k8TiyKSvly4fwkRkVmh/hMRL1MHiohXubD/NLEoImnNbUfEEhGZLeo/EfEydaCIeJXb+k8Ti7PslReG+dcvdxOJwC0fKeCOTxdNuDw4avnyfZ3s3hmkqDiDf/q3cqrnp+ZpUFZvZ3VHTuu61cC97uieF+hseh0Aa6MM97dz0a3/QJY/b8JyfW17aXrzP7E2SqYvm0WXfITcgjLHcoZDw+x97WeMDvdio1HmLr6SygUXT1puoKeZfVt/QTQSorjqAhauuBVjjGM5T2R9Z8vPGR3qxdoo8xa/l8q6xFn3vv4Q0UiIOZUXsHDFLY5nbd31PF2HtgFgbYTh/nYu/OCX8GVPfP6ttTS/+RTdh9/AmAwqFl9G1fnvcSxnKDzM2/seZXikm4wMH0sX3UZBfuWk5YZHetj5zkOEwkME8ueyfPHtZGQ41YPqP7cJRUbY0fk0Q6E+Mk0mDeXXEfBP7rWu4cPs6X6RqI1QmF1JQ9l6MkyG81k7nmYo3Eum8Z0maxN7ul7EYsk0WTRWXE9+1hxHc+489huGQr1kmEwaqm4gkF0+abnNR35KJBoEIBgepCinmtXzPuhYzhNZd3Q8xVBo3JgmyNo11MSero2xMc3wOz6m7smqDnQTt/WfG3pl+j19mD1dG0+Oafl1qRnTthNj6qOh8vqpO6XzBbCxTmmovIF8fyr6L93H1X39l7SRMcZ83xjTbozZOe68fzHG7DbGvGmMedQYUxw/f4ExZtgYsz1++ta466wxxuwwxuwzxnzNxP+XZIwpMcY8Y4zZG/834SvSGHNnfJm9xpg7k/V4ASIRy1f/vpv7H6zgZ8/M5ZnHBzm4NzhhmSceGiBQlMEvN87jo3cX8o2v9CQzkrIqq6tzYomV6nROacaLHQgw7/z3sXL9faxcfx+1jRsoLK+fNKkIcOD1Rzhv7R+zcv19lNWu5uiuZ5MdbYJj+18mt7CSVVffR8N776FpxxNEo+HJObc/wqILP8Tq9f+dkYFOetv2OJoToPXAK+QFKll99b00vudTHNrx64RZ97/xKOetvp0Lr/08w4OpyVq97CoaNtxHw4b7qFm5gUBF/aRJRYDOA68RHOxlxU2fZ8VNn6e0bpWjOQ81b6Qgv4q1q/6KZefdzjuHnky43L6mp5k/9zLWXXgvWb5cWtpfdy6k+s91/be/bzOF/gquqLmDxvIbeLvr+UnLWGvZ0fEUKytu5IqaO8n1BWgZeCvZ0SZn7d1MYXY5V9TcSWP59bzdOTkrwFudz7GiYgOX19zB3IKl7O/Z7GjOA92vEMip4PIFf0pj9Y3sbn8u4XJr53+MdXV3sa7uLopy51ERWOJoToD9PZtiz//8u2isSPz8A7zV+SwrKm/k8vl3MrfgAvb3bHI4qUuyurQD1X/p339u6ZXp9LS1lh3tv4mN6fy7yPUV0nI8FWO6iUB2BZfX/SmNVRvY3fG7hMvtan+GFVU3sa7uLqoDSznQ/YrDSV0yri7sv2ROuT4IXH/Kec8ADdbaFcA7wN+Nu2y/tXZV/HTPuPO/CXwCWBw/nbjNvwWes9YuBp6L/z6BMaYE+CKwFrgE+OJU5Tsbdm0PUlPnY15tFll+wzU35/Pib4cnLPP73w6x4fYCAK7akMeWl0ewKXhBKKu3s7olJxDbv8R0TunnQTzWgafqPLyNstrVU1xqiIRGAYiERvDnFk2xXJKY2P1ba4mEg/j8eZhTvoUMDvcTCY0QKKnDGEN57Rq6W3ZOcYNJjApEwmfIOjIxa8X8C+lqdf6D5XhdTdsprUv8/LfvfYV5jdeOPY6snICT0Rgc6mBOUT0A+XnljIz0MBocmLCMtZaevoNUlC4HoLpiFR3dbzuaU/3nrv4bDHZTkjsfgAJ/CcPhfkYjgxOWCUWHMSZzbK2v0tw6jg3uTWasKbJ2UZJTG89aynC4j9HwYMJlw/E1dkLRUXJ8+Y5lBBgIdlGaOz5n/5Q5AcKRUbqHmqjMX+xUxDGDoS5KxmcNTWdMg+RkFjiW8QTXZHVnBz6I+i+t+88tvTKdnh4bU38JkOIxzas7bdYTwtHRsX+zfSnoP7eMq8v6L2kTi9baF4HuU877rbX2xGoWm4Ca092GMaYaKLTWbrKxGY0fAh+IX3wr8IP4zz8Yd/541wHPWGu7rbU9xEr91KKfNR1tYSrmntxEqqI6k462yCnLRKicmwmAz2coCGTQ1+P8K0JZk8MtWd2SE8BYO61TuvFiB44XCQfpPbaHkprGhJcvuuhD7P7D99j663+io2krcy+4yolYY6rr1zF8vJ0tT/4j25/9KgtW3Jpgsq5vwoRndm4RwZF+R3MCVNWvY+h4G6/95p/Y9tz98U2cJ2YdHZ6Y1Z9bTHC4z+moYyLhIH2tuymZvyLh5SMDXXQ3bWfnU//Knue/w0h/h6P5CvKr6OjaBUDf8WZGRvsYDU4cr1B4CJ8vhwwT68FsfxGjo84+/+o/d/VfwF9O2+A+AHpHWxkJ9zMSnjhhnZWRi7VR+kaPAdA2uJeR8PFkxkqcNbuctvh/knpH4lkjA5OWayhbz9Zjj/B807dpGdhFffElDuesoG3gnVjO4VZGQn2nHa+2wb2U5tXhy8x2KuKYgL8iwZhOztpQfh1bWx/m+UPfouX4W9TPcXZMwT1Z3diB6j839J87emU6PZ2VkYtl/Ji+k7q/KSfGdKSVkVB/whwNldfz+tGHeeHgN2k5vov6OWudjuqacXVb/zm78f1Efwb8ZtzvC40x24wxG40xJ3a0NA9oHrdMc/w8gEprbWv852PA5J0jxZY9MsX1JzDGfNIYs8UYs6W3O5JoERFxmgUi0emd3CdtOzA0Ovk/lzPV07qLwrIFCTeDBmjd+3suuOJu1tz0PyhfeDFNbzzxru9zRvna3yG/eC4XbfifrLz6Xg6+8Sjh0IijGaart/0d8ovmcvEN/4NV7/8sB974VdpmPaH36C4CZQsSbgYNYKNhTKaPhus/S/l5l3Jg80OO5lsw7z2EwyNs3v4Nmo9toiC/etJkbcqp/1LSf8HI0Awfykn1xRcTjo7y0tEfcbhvOwF/BYaJ+zk1xrCy4kZ2d23klaM/IdP4U/Laqy++JJa1+Ycc7t9GIHtyVoCmvq2sqfogV9V9ippAA7u7XnA255y1hKKjvNz0IId7txLIrkyY84Rj/W9TFVjqYMKT6udcQjg6wktHfsDhvhNjOvm5berbyprq27lqwT2xMe18QVkTOXc7UP2X6v5zSa9Mp6djY3oTu7teiI1pht/x/WtDfEwjJ8b09diYJshxqGcLF867nfct/AvmFTawe4rdcCQ1qxvG1YX9l5KjWxhjvgCEgZ/Ez2oFaq21XcaYNcCvjDHLp3t71lprjHlX07XW2geABwCWrsg+q9sqr/TR3nJyv1ftrRHKKzNPWSaTtpYIFdU+wmHLwPEoRXOcL1RlTQ63ZHVLTjfuuHY60r0DC0rmz+i2ju17ibYDsf1uLX3P3fhzi+g8vJ3SKTaDDo0OMNjbQqA0thlC2fyVvP3id99N/Glp3f8SbYdiOX1ZedQuW48xhtyCMrLzSxg+3k6gpHZseX9O0YS1/kaH+/DnFCY9J0DrgZfHsmZm5VK79LqxrDl5k7Nm507MGhzudWzz8rZ3XqJjXyzrkvfdjT+viO6m7ZQsmGozePDnFVEyP7Y265yaBg5u+kXScx5p3UxL2xYAVi37E5Ytju2A3VrLy6/fT272xK3Esnx5hMMjRG2EDJPJaLCP7Gxnnv8Y9d90zHb/FWVXzei2mvq303x8BwBrKm+jsfy6E7fJxubvkZc1+X04J2cua+d+BIDOoUMMhZ3Zh3FT37aTWas+SGPF9SezHvnupKzByBD9wQ6Kc6oBqCo4ny2tDyc95+He12nuexOAC+fdTmPVhrGcLx78NnlZxQmvF4wM0TfSyqq5tyU94wlNfdto7o9lXVN9O40VN4xl3Xj4O4nHdLR93JhewJbWXyprQudeB6r/Utd/bumVmfY0nBjTjwLxMQ2lYkw/RGPVyU558dAD5PkmjmkwPMTxYDvFOXOBWKdsbXGw/1wyrjHu6z/HJxaNMXcBNwFXx1ftxlo7CozGf95qjNkPLAGOMnFV8Zr4eQBtxphqa21rfHXx9gR3dxR43ynXf2HWHswplq70c+RQmJYjIcorfTz7xCBf+trEIwxdcW0eTz48QOOabJ5/cog163JS8q2Csno7q1tyAo6UqjHmj4B/AJYCl1hrt4y77O+Au4EI8F+ttU+/y/u6i3OsA6vOu5yq8y4f+z0cGqa/4wCL134s4fK+rFwioRGGj3eQGyint20vuYUVsx1rkupFl1O9KJZz/7aH6W3fR2FZPcGR44wc7yAnv3TC8v7cQjKzcjje3UTBnFo6Dm8du37Ss9avo7p+XSzr9kfo69hLUdlCgiPHGR5IkDVnYtb2I6+PXT/ZKpdcTuWScc9/cJj+9v3Ur/vjKa8zp6aB/rb9lBeUcrx9PzmB5B8RfH71WuZXxza5CYWHiUbDZGT4aGnfSnFhHT5fzoTljTHMKVpIe9dbVJWtoLV9O+VzLkh6zgnUf2nff3WFq6grjB18KBQ5ORHdfHwHJTnz8GVM3nRuNDJEdmYeURvmQN9rLCp2ZlOwuqLV1BWtniJrzaSsvowcwtFRBoPd5PtL6BpqoiCrNNFNz6ra4gupLb5wcs6+NynJnT/l5ohtx/dQXrCITMeO3H62Yxo8OabDTRT4kz+mbss65hzqQPVfTKr6zy29MtP3KZwypr2vscihzYunHNP+NynJrZk0pr7MHMKRcZ0ydIj8rBJHsrppXMe4rP8cnVg0xlwPfB640lo7NO78cqDbWhsxxtQT20HtAWtttzGm3xhzKbAZuAP4evxqjwN3Al+J//tYgrt8Gvi/x+2sdj0Td5Y7q3w+w+e+XMJn72gnGoGbPlxA/RI/D9zfy9JGP++5No+bP1zAl+7r5ENXHqWwOIN//Hry/zOlrMrq1pyAU9/W7AQ+CHx7/JnGmGXAR4HlwFzgWWPMEmvtWe0v4VzvwBO6j+6kuGoJmT7/hPPf/v33WHTRh/DnFlF/0YfY8/IPMcbg8+ey6KIPJzvWBPMvuIa9W3/B9me/isVS17CBrOzYQQm2P3c/q66+D4D6Vbexd+sviEZCzKm8gOJKhyeWgJrzr2bf6w+x7bn7wVrqlo/L+rv/w6r33xvLuvID7Nv6ENFoiOLKC5iTgqwAPc07Kao6n0zfxA9pe57/LgvX/hH+vCKql72f/S//hGO7XyTDl83Ctc4+/0PDHby19xEMkJ9XwdLzTq6JsH3XD1l63gfI9hdyXt16dr7zEAcOP0cgv5q5lWsczan+c1f/DYS62dHxFBhDIKuUhrL1Y5dtOfYIDWXryfEVcLDvNTqGDmKx1AZWjh1EwEljWSGWNb6mEcCW1kdoKI9lbShfz7a2J2JdnZE9tkaSUwaDXew4Fjtqe0F2GQ2VN4xdtrX5lyyvuo4cX+zgT63Hd7OwxPn9dZ0wEOpmR3tsC9eAv+yUMX2YhvLrxo3p4xjiY1rhyK6P3Zn1HOlA9V969Z9bemW6PX2w9zU6hg7ExrQwhWPaFuuUAn8ZDZUnu2Lr0V+yvPJ6cnwFLK9cz/bWxwBDVmbOhOWc4ppxdVn/GZukwMaYnxH7pqQMaCN2ZKq/A7KBrvhim6y19xhjbge+DISIHdvmi9baJ+K3cxGxo2vlEtsfxV/HV/suBR4CaoEm4MPxEr4IuMda++fx6/8Z8H/F7++frbX/fqbsS1dk239/ovpdjoCIjHfZgmNhAZUAAAo6SURBVKat1tqLZnKdouwqu27ef5nWsk8d/OqMb/9UxpgXgL858W1N/JsarLX/T/z3p4F/sNa+Mo3bcm0HFpTMtyuu+cyZFksLxiW7xE2nnSufSSg3zfY1eBqBQ8NnXigNvPrGN+kfODqjVb7Vf6npv9i4f/xMi6WHVGxFcBasL/PMC6UJk0b7qzpXvNz8I/pGjs34xerWDlT/OcNmpWSPbjNmwi75oArYTPd8/nNTVz91YOb95Mb+S9o70lqbaBuo702x7MNAwp22xB9cQ4Lzu4Crp1j+z8f9/n3g+9NLLSLpxYJN6R+OecSO3nfClDu/PpU6UETeHfWf+k/Ey9zZgeo/EXn33Nd/7pjqFxFvOnFErOkpM8ZsGff7Aza2Q2oAjDHPAlUJrvcFa22izUhERFJH/SciXqYOFBGvcmH/aWJRRNLb9Dch7TzdauDW2mvO4t6PAvPH/T5+59kiIsml/hMRL1MHiohXuaz/3LMhvYh4k7XTOyXH48BHjTHZxpiFxHaq/Wqy7kxEZAL1n4h4mTpQRLzKZf2niUURSWPTLNR3WarGmNuMMc3AZcB/xndQi7X2LWI7yN4FPAX85dkeEVVEZGbUfyLiZepAEfEq9/WfNoUWkfRlgWjyd1xrrX0UeHSKy/4Z+OekhxARGU/9JyJepg4UEa9yYf9pYlFE0lvyVvEWEUlv6j8R8TJ1oIh4lcv6TxOLIpLG7EyOiCUicg5R/4mIl6kDRcSr3Nd/mlgUkfRlwVp3laqIyKxQ/4mIl6kDRcSrXNh/mlgUkfQWdddq4CIis0b9JyJepg4UEa9yWf9pYlFE0pvL9i8hIjJr1H8i4mXqQBHxKpf1nyYWRSR9WevIEbFERNKO+k9EvEwdKCJe5cL+08SiiKQ1G4mkOoKISEqo/0TEy9SBIuJVbus/TSyKSBqzrlsNXERkdqj/RMTL1IEi4lXu6z9NLIpI+rK4bse1IiKzQv0nIl6mDhQRr3Jh/2liUUTSm3XX/iVERGaN+k9EvEwdKCJe5bL+08SiiKQtC1iXfVsjIjIb1H8i4mXqQBHxKjf2nyYWE9i9I9h52YKmpiTcdBnQmYTbnW1uyQnKmgzJylk342tY67pva84Fgz3Nna/8x3+b7Q50y+sf3JPVLTlBWdV/LtEfbOt86uD96j93cEtWt+SEdOk/UAemgPpPWZPELVn1f+B3QROLCVhry5Nxu8aYLdbai5Jx27PJLTlBWZMh3XK67YhY54JkdGC6va5Oxy1Z3ZITlPVsqf+cp/5T1tnmlpyQflnVgc5S/ylrMrgla7rldFv/aWJRRNLWcXqeftb+smyai7vhmzARkWlR/4mIl6kDRcSr3Nh/mlgUkbRlrb0+1RlERFJB/SciXqYOFBGvcmP/ZaQ6gMc8kOoA0+SWnKCsyeCWnOIubnpduSWrW3KCsoq3uek1payzzy05wV1ZxR3c9JpS1uRwS1a35ExLxlp3HW1GREREREREREREUk9rLIqIiIiIiIiIiMiMaWJxlhljvm+MaTfG7Jzi8vcZY/qMMdvjp79PZTZjzD8YY46Oy7Nhiuteb4zZY4zZZ4z523TIZ4z5u3iePcaY66a4zYXGmM3x5X5hjPGnOt90xtIYkx3Puy+ef0Eqs013HKfznMi5K537b6p86dKB6r8J96X+E9dR/zmXTf3nbD51oExHOndgOvff2eRzsgPVf+q/abPW6jSLJ+C9wIXAzikufx/w63TJBvwD8DdnuF4msB+oB/zAG8CyVOYDlsVzZAML4/kyEyz3EPDR+M/fAv4ilfmmO5bAp4FvxX/+KPCLVGabzjhO9znR6dw9pXP/TZUvXTpQ/Tfh+uo/nVx3Uv85k03953w+daBO0zmlcwemc//NNJ/THaj+U/9N96Q1FmeZtfZFoDvVORJ5F9kuAfZZaw9Ya4PAz4FbZzUcM853K/Bza+2otfYgsC+ec4wxxgDvB34ZP+sHwAdSnG+6Y3lrPC/x/FfHH4/j2WYwjmd8TuTcls79B+ndgeq/SddX/4mrqP8cy6b+czCfOlCmK507MJ37D9K7A9V/6r/p0sRialxmjHnDGPMbY8zyVIcB/soY82Z8VeI5CS6fBxwZ93tz/DynJMo3nUylQK+1NnyaZZzON92xHFsunr+P2ONJRbbpjmOqXyfiDunWf5DeHaj+U//JuUP9NzPqv7Pvv9nKpw6U2ZRuHZjO/Qfp3YHqvwS5z7DcOU0Ti857Haiz1q4Evg78KsV5vgksAlYBrcBXUxtnEuU7e+mcTbwp3foP0vt9ks7ZIL3zpXM28Sb138ykczZQPpGZSrcOTPf3SDrnS+dskP75zkmaWHSYtbbfWjsQ//lJIMsYU5bCPG3W2oi1Ngp8h8Sr7R4F5o/7vSZ+XirzTSdTF1BsjPGdZhmn8013LMeWi+cvIvZ4UpFtuuOYsteJuEO69V88R9p2oPpP/SfnDvXfrGVT/zmbTx0osyLdOjCd++8M+VLegeq/qXOfYblzmiYWHWaMqTqxrwBjzCXEnoMZv2FmMU/1uF9vAxIdyes1YHH8qEh+YjtTfTzF+R4HPmpiR49aCCwGXh1/XWutBZ4HPhQ/607gsRTnm+5YPh7PSzz/7+KPx/FsMxjHMz4n4m3p1n/xHGnbgeo/QP0n5wj136xlU/85mE8dKLMl3TownfvvDPlS3oHqv4S51X82DY4gcy6dgJ8RW+U2RGz7+ruBe4B74pf/FfAWsSMHbQLWpTjbj4AdwJvE3hTV8WXnAk+Ou+4G4B1iRzn6QqrzxZf/QjzPHuCGcec/CcyN/1xP7I29D/gPIDsN8iUcS+DLwC3xn3PieffF89enOFvCcQRuAb58ptvVyRundO6/0+RLiw5U/6n/dHL3Sf3nTLb48uo/Z/OpA3U64ymdOzCd+2+m+eLLO9aB6j/133RPJj4QIiIiIiIiIiIiItOmTaFFRERERERERERkxjSxKCIiIiIiIiIiIjOmiUURERERERERERGZMU0sioiIiIiIiIiIyIxpYlFERERERERERERmTBOLIiIiIiIiIiIiMmOaWBQREREREREREZEZ08SiuJYx5lfGmK3GmLeMMZ9MdR4REaeo/0TEq9R/IuJV6j9JV8Zam+oMImfFGFNire02xuQCrwFXWmu7Up1LRCTZ1H8i4lXqPxHxKvWfpCtfqgOIvAv/f3t3axNBAEVh9L4EgdsKkCSUsLgV2wCNUAclIZF0sGXgsLNmG3hmfvLOUSOf+sTNZOazqj4ezy9JXpMIKzCB/gFT6R8wlf6xS4ZFDqmqLkmuSd6XZfmvqp8kz5seBbAC/QOm0j9gKv1jz3xjkaM6Jfl7RPUtyXnrgwBWon/AVPoHTKV/7JZhkaP6TvJUVbckX0l+N74HYC36B0ylf8BU+sdu+XkLAAAAANDmjUUAAAAAoM2wCAAAAAC0GRYBAAAAgDbDIgAAAADQZlgEAAAAANoMiwAAAABAm2ERAAAAAGgzLAIAAAAAbXeXTCH2Rg8/bQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x288 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for z in search_grid['z']:\n",
    "    ttdf = tdf[tdf['z']==z][[\n",
    "        'z', 'a', 'b', \n",
    "        'stan_grad_reg_inc_beta_log', \n",
    "        'stan_inc_beta_strict_log',\n",
    "        'inbeder1_log',\n",
    "        'inbeder2_log',\n",
    "    ]]\n",
    "    plot_time(ttdf, -11, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cases where wolfram and stan_grad_reg_inc_beta diverge from rest"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Wolfram derivative is way off"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "z = 0.25\n",
    "a = 150\n",
    "b = 1250"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, max(a, b), 10000)\n",
    "y = sp.betainc(x, b, z)\n",
    "plt.plot(x, y)\n",
    "plt.axvline(a, c='k', ls='dashed', alpha=.5)\n",
    "plt.ylabel('incbeta')\n",
    "plt.xlabel('a')\n",
    "plt.title(f'{z=}, {b=}');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  wolfram: -9.0079425013435e+215\n",
      "   stan_grad_reg_inc_beta: 5.64240006350661e-13\n",
      "            stan_inc_beta: -6.875931379629293e-42\n",
      "     stan_inc_beta_strict: -6.8759313797203e-42\n",
      "                  inbeder: -6.875906440587697e-42\n"
     ]
    }
   ],
   "source": [
    "print(f'{\"wolfram\".rjust(25)}: {wolfram_dda(z, a, b)}')\n",
    "for algo_name, algo in algos.items():\n",
    "    print(f'{algo_name.rjust(25)}: {algo(z, a, b)[0]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Wolfram and stan_grad_reg_inc_beta agree, but it looks like derivative should be 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "z = 0.25\n",
    "a = 15\n",
    "b = 12500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, max(a, b), 10000)\n",
    "y = sp.betainc(x, b, z)\n",
    "plt.plot(x, y)\n",
    "plt.axvline(a, c='k', ls='dashed', alpha=.5)\n",
    "\n",
    "plt.ylabel('incbeta')\n",
    "plt.xlabel('a')\n",
    "plt.title(f'{z=}, {b=}');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  wolfram: 5.374002228495603\n",
      "   stan_grad_reg_inc_beta: 5.307335561828936\n",
      "            stan_inc_beta: -0.0\n",
      "     stan_inc_beta_strict: -0.0\n",
      "                  inbeder: -0.0\n"
     ]
    }
   ],
   "source": [
    "print(f'{\"wolfram\".rjust(25)}: {wolfram_dda(z, a, b)}')\n",
    "for algo_name, algo in algos.items():\n",
    "    print(f'{algo_name.rjust(25)}: {algo(z, a, b)[0]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### All fail to converge, except inbeder which returns 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "z = 0.75\n",
    "a = 15000\n",
    "b = 12500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, b * 8, 10000)\n",
    "y = sp.betainc(x, b, z)\n",
    "plt.plot(x, y)\n",
    "plt.axvline(a, c='k', ls='dashed', alpha=.5)\n",
    "\n",
    "plt.ylabel('incbeta')\n",
    "plt.xlabel('a')\n",
    "plt.title(f'{z=}, {b=}');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  wolfram: 0.3184688828938622\n",
      "   stan_grad_reg_inc_beta: nan\n",
      "            stan_inc_beta: nan\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ricardo/Documents/Projects/incbeta_test/algorithms_stan.py:91: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  g1 = (dBda - b1 * (digammaA - digammaSum)) / betaAB\n",
      "/home/ricardo/Documents/Projects/incbeta_test/algorithms_stan.py:92: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  g2 = (dBdb - b1 * (digammaB - digammaSum)) / betaAB\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     stan_inc_beta_strict: nan\n",
      "                  inbeder: -0.0\n"
     ]
    }
   ],
   "source": [
    "print(f'{\"wolfram\".rjust(25)}: {wolfram_dda(z, a, b)}')\n",
    "for algo_name, algo in algos.items():\n",
    "    print(f'{algo_name.rjust(25)}: {algo(z, a, b)[0]}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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