{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fraction(X, u, mu):\n",
    "    if np.isinf(mu):  # u/mu = 0\n",
    "        return 1\n",
    "\n",
    "    if any(X < 0):\n",
    "        return None\n",
    "    elif any(X < u):\n",
    "        return 0\n",
    "    elif all(X >= u):\n",
    "        return np.exp(len(X) * u / mu)\n",
    "    else:\n",
    "        raise TypeError(\"Maths is broken\")\n",
    "\n",
    "\n",
    "@np.vectorize(signature=\"(m),(),(),()->()\")\n",
    "def observer(X, u, mu, L_bound):\n",
    "    L = fraction(X, u, mu)\n",
    "\n",
    "    return L > L_bound"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "u = 1\n",
    "N = int(1e3)\n",
    "\n",
    "u_mu = np.linspace(0, 3)\n",
    "\n",
    "L_bound = [0, 0.5, 1, 2.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute(n):\n",
    "    rng = np.random.default_rng()\n",
    "\n",
    "    Dss = []\n",
    "    alphass = []\n",
    "\n",
    "    for _u_mu in u_mu:\n",
    "        mu = u / _u_mu\n",
    "\n",
    "        X_H1 = u + rng.exponential(mu, (N, n))\n",
    "        X_H0 = rng.exponential(mu, (N, n))\n",
    "\n",
    "        Ds = []\n",
    "        alphas = []\n",
    "\n",
    "        for _L_bound in L_bound:\n",
    "            D = sum(observer(X_H1, u, mu, _L_bound)) / len(X_H1)\n",
    "            Ds.append(D)\n",
    "\n",
    "            alpha = sum(observer(X_H0, u, mu, _L_bound)) / len(X_H0)\n",
    "            alphas.append(alpha)\n",
    "\n",
    "        Dss.append(Ds)\n",
    "        alphass.append(alphas)\n",
    "\n",
    "    return Dss, alphass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_aD(Ds, alphas, n):\n",
    "    fig, axs = plt.subplots(1, 2, sharey=True)\n",
    "\n",
    "    fig.suptitle(f\"$n = {n}$\")\n",
    "\n",
    "    for ax in axs:\n",
    "        ax.scatter(alphas, Ds, c=np.repeat(u_mu,len(L_bound)), alpha=0.2)\n",
    "        if ax is axs[1]:\n",
    "            ax.set_xscale(\"log\")\n",
    "        ax.set_xlabel(r\"$\\alpha$\")\n",
    "        if ax is axs[0]:\n",
    "            ax.set_ylabel(\"$D$\")\n",
    "        ax.grid(which=\"both\")\n",
    "\n",
    "    fig.tight_layout()\n",
    "    \n",
    "    fig.savefig(f\"pics/aD_{n}.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_umu(Y, ylabel, n):\n",
    "    plt.figure()\n",
    "    plt.title(f\"$n = {n}$\")\n",
    "\n",
    "    for D, _L_boud in zip(np.array(Y).T, L_bound):\n",
    "        plt.plot(u_mu, D, label=f\"$L_{{пор}} = {np.round(_L_boud, 3)}$\")\n",
    "\n",
    "    plt.legend()\n",
    "\n",
    "    plt.grid()\n",
    "    plt.xlabel(r\"$\\dfrac{u}{\\mu}$\")\n",
    "    plt.ylabel(ylabel)\n",
    "    \n",
    "    plt.savefig(f\"pics/umu_{ylabel.strip(\"$\\\\\")}_{n}.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_99284/1482108988.py:8: RuntimeWarning: divide by zero encountered in scalar divide\n",
      "  mu = u / _u_mu\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ds, alphas = compute(5)\n",
    "plot_aD(Ds, alphas, 5)\n",
    "plot_umu(Ds, \"$D$\", 5)\n",
    "plot_umu(alphas, r\"$\\alpha$\", 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_99284/1482108988.py:8: RuntimeWarning: divide by zero encountered in scalar divide\n",
      "  mu = u / _u_mu\n"
     ]
    },
    {
     "data": {
      "image/png": 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tAmUPtul8dr7L+q92uY87fZtaeXm5cjLPKax9K5djDW4RKHtwoPLO5sneuXmOwR3N+TFwh2n15+UWyh4coIBAm6xv/kiq+rdl21DlZJyrdTy+HGd956Mr57qkpExFBRckBclmsxQgyfbNe6I2m6XQFnbJZiknt6DBNZ/NzFOrMIdsAd/s94p/g4ICFOSwKftszXNN9plzCmkRKNs3lwSu/rdleIgyM3JrbFffc6m29bW1n8vOk1pKjhbBsipr1tGqbQtJUnF+sQIDA336XD6bnlv12NpcXCpp3b6VMk5kK/N0tjrEVL+Xzt26ru5XXl6uc2fzFN6+pWx2VZ1HL/8bFBooe1CAzucUyN7BvXm9uq2uPpflnytS/vlChXdo6fJcHtLSIdmlnMza/995Mg/1bVvXa8vlZXtQoM5nna9z7PXVVl9bXna+SoovKlghNc5DliyFtW+p89nnVZBbqLD2ru+l82QubJZlWW739iGbzaYPPvhAEydOrLVPr169NG3aNM2ePbuqbdWqVbrnnntUUlKiFi1a1Nhm3rx5mj9/fo32pUuXKjQ01IsjAHAtKCkp0ZQpU5Sfn6/w8JpXrhqD8xEAT3hyPjLqCl1DzJ49W0lJSVXLBQUFio2N1bhx41xOzru7btQ9HS/IklT5zZW51C+fVeKApxVoL1WQbLpgVep7kx9S15g26tE7WjtTDujihXINv62nHC0c1fZ39lSugh2B+vEvH1Lr9i3dqvnDP3+qjR/vUly/TrIHVH+IivKLlJddpO88PkF9E7rXuy+n06m1a9dq7NixCgoKqrd/U1vxpzXa+OF2xfWPVaC9+o+1hXlFyssu1JQnJ+jE+WPNdgz1ae6PQX1Mq//M11lav2yT2kW3VkjopZ+ML4QVqEVhuKxK6eTB00q4a4j6Jbr+JOblq2a+UN/56Oq5/vt7qWoXel7HshyyLJtsNkvdIkt1LMuhc7kXdOFimX7w36PU7Yaaby+745OPdurTlXvVpVsHBQYGyBZgKba3dOqQdKHIqczMPN3/3yM1PLFnte1S13+lD9/epOgu7RXsCJItQIrtb9Op/ZacpRU6+XWW7n4wQbffFV9tu/qeS7Wtr639yIHTOnJ8r/avz1NYm7BLdcTbdWpPxaXH+tgZ3fLtzlXb+fK5XFpaqsVz/089b2ujUztLZV11186ZY2fVul0r/fDZ+9WyZfXXCXfrctXvg1fXKXX1HsX1jZE9OECxN7bUqS+KZVVIxXklyjtXqId+Ol4nso+4Na9Xt125LKnWOpf9bqV2rT+grv1rfpo171yhLhZd1Hef/n+K61v7O1WNeXyu3ra21xabXYq9tZ22/PWgJv/sXvUd0bPWfdRXW31tdrtdny79TOXtStSiMFw22aqdj7JP5yq0pUPjpo1WsCPY5bg8OR8ZFeiioqKUlZVVrS0rK0vh4eEur85JksPhkMPhqNEeFBTk8gkzJWG3sk90UXiAXWVX3EcXaC9ViL1UlqRTJTaFVNjUrm2YzmXkKyjIIcuylJ1eoE6x7RUQGKDKikqdz8xXUd4F3f7/hisiyv2Pq984ZpD2b/laJ/ZnKrpbBzlCLtVfcL5QWafOacCIHuo3oocCA91/+Gobr78ljI3X/k1HdOLL04rpHlkViPNzCnX2VI76j+yp3jf20IlPjjXbMbiL+ptGdI8ode4drWO70hTZtaNafHP/mbOsXJlfZyuiUzt1HXBDrWPx5RjdPR9dXr5xcDd9fXiHjp3KVaeItgoJufTClJt3QVk5RbpxcJx694hucD3DEntp17YTOn4kW9Fd2im0ZZAkS4UFF5V+4rx69InWkISeNeZkaEJ37dh4WGlHshQd214twy+N6UJRqU4fz1Wnzu01dGSvOue4rnmubf3V7T37ddaR43uVk1moigqpTftL90uVXXTq9LFzCmsX6nI7XzyXg4KCNHRUXxXqjLJO5Kp9x9YKCLSrsrxCOZn5unihXHfc3k9t6viaCnfrurLfiDsH6eC2NJ04eEYx3TtIaimrQirILlLWqfMakNhNvYd01YlPjrg9r67a6pu/hDGDdOiL4zq+P12dunWsumfsfE6BzqWf15A7+qrnIPe+QqUxj8/lbWt7bSk4V6RYtVNc3xj1u6mXy9fRuo7vzlxd2dZ7WA/tT9ur7NO5iohqp4DASx9zPZ9VoNLCUg0dPVAtW9V+sceTeTDqy5gSExO1bt26am1r165VYmKiV4/z9MpBKrQqFCCbgr/54pJg2VQpSxlllfrF/VPUOixY57MK5Syv1NiHEvTfM+6SIyRIxw+mK21/utIOpMtZUaGb/794jf+OZ/Xd0CdG354+XpFd2ivj6ywd23dCR/ecVF5OkQbe1Ev3/+Quj8Jcc3ZDv1jd/9O7FdmlvdKPZunrPcd1dPdx5eUWasAtvfRA0oRrZqxoGoGBgbrpnmHqOay78rILdPLgpQ9AnD2eo8gbOujmiQkKb+f6RunmpnePSElSm7BQncw4p6+/uaG+uLhUNw6O0+SJNzZq/1HRbTVp2i2Kjm2rM+m5+vpwpiTpfE6xeveP0UPTRikkpOYLSqs2oZr0/dvUvW8n5WTl69ihS58azsrMV2y3CD34/VvV3sWHunxlYEJXFeeXKu2br4hKP56tdh3CNGHyTU1WgyQlfmugJCkgwKa0rzKUtv+00r7KkE3S2G8n6Pb7hnr9mDf0idZ//fBOdYhuqzPHL30iOW3/aRWcL9agkT304Iymeb3oPbSb/t+Px6pNx9Y6feTMpdetfcd1oeCChtzRVw/MGO/zGq5U22tL/vkiSdLE6U0zLzf07SxJCgoO1MmDp3Xq0KUPMVmVlRo6dpB63+i970r06ytlUVGRjh49WrWclpam3bt3q127durSpYtmz56t9PR0vfXWW5KkH/3oR/rjH/+oJ554Qv/zP/+jf//733rnnXe0cuVKr9a1+LGPJUlr9vVS39BLV+kynZV6dX8njcp/ST+dbVOZs1IhLYLVd1icYrtfOukOvbOf9m46rMK8EoW0dKjv8K6K7RHVoBoGJPZU3MBY7fvsgM5m5CkoMEBd+3VWz6Fx11zAGTCyt+IG3aC96/crOz1XQUF2dR3QRT2HxVW7kRlwV8vwUN36QKKyT+Xo7OkcHcs5otseHKnOvaJrfNrMBEk/GKO9X2Uo51yBVJ6uR78zSn171f8hK3f07BOtmXPu094daco8kytLWZryvds0YMgNdZ5rortEaPpTE7Rv53GdTjurSmXrof+5VQOGd1VISM2rkL703/87TicOn9XhL0/IqWxNnHqLhozoIUdLh9JXNd0nKy/P16Nz79NXO06qpKhUoa0cGpDQTVGxnn/BvLsGjeylboO6aM9nXynHeUJjHrhJ3Qd0qfpS4aY6hw69o796Db1Buz8/pHNZ+QoKDFCvIV3VI/6GJjn+1Vy9tnTpF6Ovz35V9XVGTWX8d0cr63iOLhSV6Pj5rzVu6u1q17Hmp8Qbw6/JYPv27Ro9enTV8uV7S6ZOnao33nhDZ86c0cmT//nizK5du2rlypWaNWuWXn75ZXXu3Fmvv/66xo/3TfIfP/CwnE6ndn25SjfE7deLPet+IWgf1Uajv53gteO3ahWixLu9/xNdc9SqVYhGThjm7zJwDQkICFDkDR3VLrqtjq06otje0Ua8ZexKq5YO3XZTLzmdTq1ale6V3xBxpZCQICXcfHn/q9R/cBe3fnAMDAzUkIQeGjDkBq1atUrxI7r7bY579I/RDb06atWqVbrpjv5V93/5Q2RMe3WOa9gP8w3VqlWIEsb216pVJzT2oUS/PQ6t2rTSLc3oXH71a4vT6dTXq3z7dSWuhIa1UK+h3eR0OnV81dcKa+u93xBxmV8D3e233666PmTr6rdA3H777dq1a5ePKwMAADCHUffQAQAAoCYCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYzu+BbtGiRYqLi1NISIhGjBihbdu21dl/4cKF6t27t1q0aKHY2FjNmjVLFy9ebLJ6AQAAmhu/Brrly5crKSlJycnJ2rlzp+Lj4zV+/HidPXvWZf+lS5fq5z//uZKTk3Xw4EH95S9/0fLly/XUU081ee0AAADNhV8D3YIFC/Too49q2rRp6tevnxYvXqzQ0FAtWbLEZf/Nmzfr5ptv1pQpUxQXF6dx48Zp8uTJ9V7VAwAAuJYF+uvAZWVl2rFjh2bPnl3VFhAQoDFjxig1NdXlNiNHjtTf//53bdu2TQkJCTp27JhWrVqlhx9+uNbjlJaWqrS0tGq5oKBAkuR0OuV0Ouut83Ifd/o2R6bXr2tgDNTvX57W78tx1nc+urrW+v71tobu393t6utX23p325m/xs2fq7a6+nhbYx4fb8yhp+saMn++PB/ZLMuy3O7tRRkZGYqJidHmzZuVmJhY1f7EE09ow4YN2rp1q8vtfv/73+tnP/uZLMtSeXm5fvSjH+mVV16p9Tjz5s3T/Pnza7QvXbpUoaGhXhoNgGtFSUmJpkyZovz8fIWHh3t135yPAHjCk/ORUYEuJSVFDz30kJ577jmNGDFCR48e1cyZM/Xoo4/q6aefdnkcVz8Rx8bGKicnx62TtdPp1Nq1azV27FgFBQU1eLz+Ynr9ugbGQP3+5Wn9BQUFioiI8Emgq+98dHWt9S17W0P37+529fWrbb277cxf4+bPVduVy5Ka5fx5sm1d/Txd5+n8NeQ56Mn5yG9vuUZERMhutysrK6tae1ZWlqKiolxu8/TTT+vhhx/W97//fUnSwIEDVVxcrB/84Af6xS9+oYCAmrcEOhwOORyOGu1BQUEePWE87d/cmF6/roExUL9/uVu/L8fo7vnI02Vva+j+PZnjuvrVtt7dduavcfPnqs2E+fNk27r6ebrO3flryBx6Mg9++1BEcHCwhg0bpnXr1lW1VVZWat26ddWu2F2ppKSkRmiz2+2SJD9daAQAAPA7v12hk6SkpCRNnTpVw4cPV0JCghYuXKji4mJNmzZNkvTII48oJiZGzz//vCRpwoQJWrBggYYMGVL1luvTTz+tCRMmVAU7AACA641fA92kSZOUnZ2tuXPnKjMzU4MHD9bq1asVGRkpSTp58mS1K3Jz5syRzWbTnDlzlJ6erg4dOmjChAn65S9/6cdRAAAA+JdfA50kzZgxQzNmzHC5LiUlpdpyYGCgkpOTlZyc3ETVAQAANH9+/9VfAAAAaBwCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYzu+BbtGiRYqLi1NISIhGjBihbdu21dk/Ly9P06dPV6dOneRwONSrVy+tWrWqyeoFAABobgL9efDly5crKSlJixcv1ogRI7Rw4UKNHz9ehw4dUseOHWv0Lysr09ixY9WxY0e99957iomJ0YkTJ9SmTRu/1A8AANAc+DXQLViwQI8++qimTZsmSVq8eLFWrlypJUuW6Oc//3mN/kuWLFFubq42b96soKAgSVJcXFyT1w0AANCc+C3QlZWVaceOHZo9e3ZVW0BAgMaMGaPU1FSX23z00UdKTEzU9OnT9eGHH6pDhw6aMmWKnnzySdntdpfblJaWqrS0tGq5oKBAkuR0OuV0Ouut83Ifd/o2R6bXr2tgDNTvX57W78tx1nc+urrW+v71tobu393t6utX23p325m/xs2fq7a6+nhbYx4fb8yhp+saMn++PB/ZLMuy3O7tRRkZGYqJidHmzZuVmJhY1f7EE09ow4YN2rp1a41t+vTpo+PHj+s73/mOHnvsMR09elSPPfaYfvKTnyg5OdnlcebNm6f58+fXaF+6dKlCQ0O9PCoApispKdGUKVOUn5+v8PBwr+6b8xEAT3hyPjIq0PXq1UsXL15UWlpa1RW5BQsW6De/+Y3OnDnj8jiufiKOjY1VTk6OWydrp9OptWvXauzYsVVv85rE9Pp1DYyB+v3L0/oLCgoUERHhk0BX3/no6lrrW/a2hu7f3e3q61fbenfbmb/GzZ+rtiuXJTXL+fNk27r6ebrO0/lryHPQk/OR395yjYiIkN1uV1ZWVrX2rKwsRUVFudymU6dOCgoKqvb2at++fZWZmamysjIFBwfX2MbhcMjhcNRoDwoK8ugJ42n/5sb0+nUNjIH6/cvd+n05RnfPR54ue1tD9+/JHNfVr7b17rYzf42bP1dtJsyfJ9vW1c/Tde7OX0Pm0JN58NvXlgQHB2vYsGFat25dVVtlZaXWrVtX7YrdlW6++WYdPXpUlZWVVW2HDx9Wp06dXIY5AACA64Ffv4cuKSlJr732mt58800dPHhQP/7xj1VcXFz1qddHHnmk2ocmfvzjHys3N1czZ87U4cOHtXLlSv3qV7/S9OnT/TgKAAAA//Lr15ZMmjRJ2dnZmjt3rjIzMzV48GCtXr1akZGRkqSTJ08qIOA/mTM2NlZr1qzRrFmzNGjQIMXExGjmzJl68skn/TgKAAAA//JroJOkGTNmaMaMGS7XpaSk1GhLTEzUli1bmqAyAAAAM/j9V38BAACgcQh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYzqNAt27dOt10000KCQlRWFiYbrzxRv36179WYWGh7yoEAABAndwOdFu3btVdd90lh8OhOXPm6Omnn9agQYP00ksvacCAAdq7d69vKwUAAIBLge52fPHFF3Xffffp3XffrdZeUlKiH/7wh7rnnnu0b98+tWnTxhd1AgAAoBZuX6FLTU3VjBkzarSHhobqzTffVOfOnbV48WJv1wcAAIB6uB3osrOz1bVrV9c7CQjQzJkztXLlSm/WBgAAADe4HegqKioUEhJS6/phw4bp0KFD3qoLAAAAbvLoU65vvfWWtm7dqosXL9ZYFx4erry8PG/WBgAAADe4/aGIUaNG6dlnn1VhYaECAwPVu3dvDRs2TEOHDtWwYcMUGRmpiooK31YLAACAGtwOdBs2bJAkHTlyRDt27NDOnTu1c+dOffTRR8rLy5PNZvNlnQAAAKiF24Husp49e6pnz5566KGHqtrS0tK0fft27dq1y9v1AQAAoB4eBzpXunbtqq5du+qBBx7wxu4AAADgAX6XKwAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhmsWgW7RokWKi4tTSEiIRowYoW3btrm13bJly2Sz2TRx4kSf1wgAANBc+T3QLV++XElJSUpOTtbOnTsVHx+v8ePH6+zZs3Vud/z4cf3sZz/TqFGjmqxWAACA5sjvgW7BggV69NFHNW3aNPXr10+LFy9WaGiolixZUus2FRUV+s53vqP58+erW7duTVovAABAcxPoz4OXlZVpx44dmj17dlVbQECAxowZo9TU1Fq3e+aZZ9SxY0d973vf0+eff17nMUpLS1VaWlq1XFBQIElyOp1yOp311ni5jzt9myPT69c1MAbq9y9P6/flOOs7H11da33/eltD9+/udvX1q229u+3MX+Pmz1VbXX28rTGPjzfm0NN1DZk/X56PbJZlWW739rKMjAzFxMRo8+bNSkxMrGp/4okntGHDBm3durXGNhs3btRDDz2k3bt3KyIiQt/97neVl5enFStWuDzGvHnzNH/+/BrtS5cuVWhoqJdHBMB0JSUlmjJlivLz8xUeHu7VfXM+AuAJT85Hfr1C56nCwkI9/PDDeu211xQREeHWNrNnz1ZSUlLVckFBgWJjYzVu3Di3TtZOp1Nr167V2LFjFRQU1Kj6/cH0+nUNjIH6/cvT+i9fNfOF+s5HV9da37K3NXT/7m5XX7/a1rvbzvw1bv5ctV25LKlZzp8n29bVz9N1ns5fQ56DnpyP/BroIiIiZLfblZWVVa09KytLUVFRNfp//fXXOn78uCZMmFDVVllZKUkKDAzUoUOH1L1792rbOBwOORyOGvsKCgry6Anjaf/mxvT6dQ2Mgfr9y936fTlGd89Hni57W0P378kc19WvtvXutjN/jZs/V20mzJ8n29bVz9N17s5fQ+bQk3nw64cigoODNWzYMK1bt66qrbKyUuvWrav2Fuxlffr00b59+7R79+6qv/fee69Gjx6t3bt3KzY2tolHAAAA4H9+f8s1KSlJU6dO1fDhw5WQkKCFCxequLhY06ZNkyQ98sgjiomJ0fPPP6+QkBANGDCg2vZt2rSRpBrtAAAA1wu/B7pJkyYpOztbc+fOVWZmpgYPHqzVq1crMjJSknTy5EkFBPj921UAAACaLb8HOkmaMWOGZsyY4XJdSkpKndu+8cYbPqoKAADADFz6AgAAMByBDgAAwHAEOgAAAMMR6AAAAAxHoAMAADAcgQ4AAMBwBDoAAADDEegAAAAMR6ADAAAwHIEOAADAcAQ6AAAAwxHoAAAADEegAwAAMByBDgAAwHAEOgAAAMMR6AAAAAxHoAMAADAcgQ4AAMBwBDoAAADDEegAAAAMR6ADAAAwHIEOAADAcAQ6AAAAwxHoAAAADEegAwAAMByBDgAAwHAEOgAAAMMR6AAAAAxHoAMAADAcgQ4AAMBwBDoAAADDEegAAAAMR6ADAAAwHIEOAADAcAQ6AAAAwxHoAAAADEegAwAAMByBDgAAwHAEOgAAAMMR6AAAAAxHoAMAADAcgQ4AAMBwBDoAAADDEegAAAAMR6ADAAAwHIEOAADAcAQ6AAAAwxHoAAAADEegAwAAMByBDgAAwHAEOgAAAMMR6AAAAAxHoAMAADAcgQ4AAMBwBDoAAADDEegAAAAM1ywC3aJFixQXF6eQkBCNGDFC27Ztq7Xva6+9plGjRqlt27Zq27atxowZU2d/AACAa53fA93y5cuVlJSk5ORk7dy5U/Hx8Ro/frzOnj3rsn9KSoomT56s9evXKzU1VbGxsRo3bpzS09ObvHYAAIDmwO+BbsGCBXr00Uc1bdo09evXT4sXL1ZoaKiWLFnisv/bb7+txx57TIMHD1afPn30+uuvq7KyUuvWrWvy2gEAAJqDQH8evKysTDt27NDs2bOr2gICAjRmzBilpqa6tY+SkhI5nU61a9fO5frS0lKVlpZWLRcUFEiSnE6nnE5nvfu/3Medvs2R6fXrGhgD9fuXp/X7cpz1nY+urrW+f72toft3d7v6+tW23t125q9x8+eqra4+3taYx8cbc+jpuobMny/PRzbLsiy3e3tZRkaGYmJitHnzZiUmJla1P/HEE9qwYYO2bt1a7z4ee+wxrVmzRvv371dISEiN9fPmzdP8+fNrtC9dulShoaFeGAWAa0lJSYmmTJmi/Px8hYeHe3XfnI8AeMKT85Ffr9A11gsvvKBly5YpJSXFZZiTpNmzZyspKalquaCgoOq+O3dO1k6nU2vXrtXYsWMVFBTk1fqbgun16xoYA/X7l6f1X75q5gv1nY+urrW+ZW9r6P7d3a6+frWtd7ed+Wvc/Llqu3JZUrOcP0+2raufp+s8nb+GPAc9OR/5NdBFRETIbrcrKyurWntWVpaioqLq3Pall17SCy+8oE8//VSDBg2qtZ/D4ZDD4ajRHhQU5NETxtP+zY3p9esaGAP1+5e79ftyjO6ejzxd9raG7t+TOa6rX23r3W1n/ho3f67aTJg/T7atq5+n69ydv4bMoSfz4NcPRQQHB2vYsGHVPtBw+QMOV74Fe7UXX3xRzz77rFavXq3hw4c3UbUAAADNk9/fck1KStLUqVM1fPhwJSQkaOHChSouLta0adMkSY888ohiYmL0/PPPS5J+/etfa+7cuVq6dKni4uKUmZkpSWrVqpVatWrl17EAAAD4g98D3aRJk5Sdna25c+cqMzNTgwcP1urVqxUZGSlJOnnypAIC/nMh8ZVXXlFZWZnuv//+avtJTk7WvHnzmrx+AAAAf/N7oJOkGTNmaMaMGS7XpaSkVFs+fvx4E1UFAABgBr9/sTAAAAAah0AHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdAAAAIYj0AEAABiOQAcAAGA4Ah0AAIDhCHQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHQAAgOEIdHUoKbqgEwdPS5LOpGWpvLzc3yUBAADU0CwC3aJFixQXF6eQkBCNGDFC27Ztq7P/u+++qz59+igkJEQDBw7UqlWrvFpPZWWl9m08qJV/XqvP3t0sSVr39katfTNFZ9KyvHosAACAxvJ7oFu+fLmSkpKUnJysnTt3Kj4+XuPHj9fZs2dd9t+8ebMmT56s733ve9q1a5cmTpyoiRMn6ssvv/RaTfs3H9IX/9ql8vIKRXfvJEmK6NxOmWlntfH9rcrJyPXasQAAABrL74FuwYIFevTRRzVt2jT169dPixcvVmhoqJYsWeKy/8svv6xvfetbevzxx9W3b189++yzGjp0qP74xz96pZ7ighId3HJYoeEt1CGmneyBl6YopEWwYnpFKy8rX4d3fO2VYwEAAHhDoD8PXlZWph07dmj27NlVbQEBARozZoxSU1NdbpOamqqkpKRqbePHj9eKFStc9i8tLVVpaWnVckFBgSTJ6XTK6XTW6J9x7IwK8woV0yNa1jd/JMmSJVuATW2iwnX6SIaKCorkaOFo4MibzuUxuhqrKUwfA/X7l6f1+3Kc9Z2Prq61vn+9raH7d3e7+vrVtt7dduavcfPnqq2uPt7WmMfHG3Po6bqGzJ8vz0c2y7Ist3t7WUZGhmJiYrR582YlJiZWtT/xxBPasGGDtm7dWmOb4OBgvfnmm5o8eXJV25/+9CfNnz9fWVk172+bN2+e5s+fX6N96dKlCg0N9ep4AJivpKREU6ZMUX5+vsLDw726b85HADzhyfnIr1fomsLs2bOrXdErKChQbGysxo0b53Jy0o+c0fplG9XxhggFO4JlydKFsAK1KAyXTTadPX1OoS0dGvc/dyg4OKiJR+M5p9OptWvXauzYsQoKav71umL6GKjfvzyt//JVM1+o73x0da31LXtbQ/fv7nb19attvbvtzF/j5s9V25XLkprl/HmybV39PF3n6fw15DnoyfnIr4EuIiJCdru9xpW1rKwsRUVFudwmKirKo/4Oh0MOR823RoOCglxOZnSPTurQuYPOHs9RbO/oqnabbHKWlqvkfIkG3dJPLVua9dN0beM1ieljoH7/crd+X47R3fORp8ve1tD9ezLHdfWrbb277cxf4+bPVZsJ8+fJtnX183Sdu/PXkDn0ZB78+qGI4OBgDRs2TOvWratqq6ys1Lp166q9BXulxMTEav31zU8MtfX3vKYgDRk9QKHhoTq+/7QKzl1KxznpuUo/fEZxA7uo++A4rxwLAADAG/z+lmtSUpKmTp2q4cOHKyEhQQsXLlRxcbGmTZsmSXrkkUcUExOj559/XpI0c+ZM3Xbbbfrtb3+re+65R8uWLdP27dv16quveq2mmJ6dNHrSSB3a/rXSj51RoAIUEhqs/om91WNoN4W2auG1YwEAADSW3wPdpEmTlJ2drblz5yozM1ODBw/W6tWrFRkZKUk6efKkAgL+cyFx5MiRWrp0qebMmaOnnnpKPXv21IoVKzRgwACv1tWxSwd17NJB+bkFSvl8vcZNG62WrVp69RgAAADe4PdAJ0kzZszQjBkzXK5LSUmp0fbAAw/ogQceaILKpNCwS1fjgh3BTXI8AAAAT/n9i4UBAADQOAQ6AAAAwxHoAAAADEegAwAAMByBDgAAwHAEOgAAAMMR6AAAAAxHoAMAADAcgQ4AAMBwzeI3RTQly7IkSQUFBW71dzqdKikpUUFBgYKCgnxcnfeZXr+ugTFQv395Wv/lc8Plc4UvXX0+urrW+pa9raH7d3e7+vrVtt7dduavcfPnqu3KZUnNcv482baufp6u83T+GvIc9OR8dN0FusLCQklSbGysv0sB0IwVFhaqdevWPj+GOB8BqIc75yOb1RQ/hjYjlZWVysjIUFhYmGw2W739CwoKFBsbq1OnTik8PLxJavQm0+vXNTAG6vcvT+u3LEuFhYWKjo5WQIBv70pxdT668cYb9cUXX1T1uXK5KR6Lq4/v7e3q61fbenfbmb/GzZ+rtsvLzXn+PNm2rn6ervNk/uTj89F1d4UuICBAnTt39ni78PBwI1/MLjO9fl0DY6B+//Kkfl9fmbvM1fnIbrdXq/PqZfn4sXB1PG9uV1+/2ta72878NW7+XLVdvdwc58+Tbevq5+m6hsyffHQ+4kMRANCMTJ8+vc7lpj6+t7err19t691tZ/4aN3+u2ppyDhtzLG/MoafrmtP8XXdvuXqqoKBArVu3Vn5+vpFXJ0yvX9fAGKjfv0yv/0rX0lj8gflrHOav8Xw5h1yhq4fD4VBycrIcDoe/S2kQ0+vXNTAG6vcv0+u/0rU0Fn9g/hqH+Ws8X84hV+gAAAAMxxU6AAAAwxHoAAAADEegAwAAMByBDgAAwHAEOkmLFi1SXFycQkJCNGLECG3btq3O/u+++6769OmjkJAQDRw4UKtWrWqyWl3xpP7XXntNo0aNUtu2bdW2bVuNGTOm3vE2BU8fg8uWLVsmm82miRMn+rzGunhaf15enqZPn65OnTrJ4XCoV69efn0eeVr/woUL1bt3b7Vo0UKxsbGaNWuWLl682GT1Xumzzz7ThAkTFB0dLZvNphUrVtS7TUpKioYOHSqHw6EePXrojTfeaJJaAcBnrOvcsmXLrODgYGvJkiXW/v37rUcffdRq06aNlZWV5bL/pk2bLLvdbr344ovWgQMHrDlz5lhBQUHWvn37mrx2qwH1T5kyxVq0aJG1a9cu6+DBg9Z3v/tdq3Xr1tbp06ebvPbLPB3DZWlpaVZMTIw1atQo67777muyeq/maf2lpaXW8OHDrbvvvtvauHGjlZaWZqWkpFi7d+9u8tqtBtT/9ttvWw6Hw3r77bettLQ0a82aNVanTp2sWbNmNXntlmVZq1atsn7xi19Y77//viXJ+uCDD+rsf+zYMSs0NNRKSkqyDhw4YP3hD3+w7Ha7tXr16iar2dfOnz9vDRs2zIqPj7f69+9vvfrqq/4uySgnT560brvtNqtv377WwIEDrXfeecffJRlp4sSJVps2baxvf/vb/i7FCP/85z+tXr16WT169LBee+01j7e/7gNdQkKCNX369KrliooKKzo62nr++edd9n/wwQete+65p1rbiBEjrB/+8Ic+r9UVT+u/Wnl5uRUWFma9+eabPqyybg0ZQ3l5uTVy5Ejr9ddft6ZOnerXQOdp/a+88orVrVs3q6ysrAmrrJ2n9U+fPt264447qrUlJSVZN998s89rrY87ge6JJ56w+vfvX61t0qRJ1vjx431cXdMpLy+3iouLLcuyrKKiIisuLs7Kycnxd1nGyMjIsHbt2mVZlmWdOXPGio6OtoqKivxdlnHWr19vffTRRwQ6NzidTqtnz57W6dOnrcLCQqtXr14e/5+9rt9yLSsr044dOzRmzJiqtoCAAI0ZM0apqakut0lNTa3WX5LGjx9fa39fakj9VyspKZHT6VS7du18WGntGjqGZ555Rh07dtT3vve9JqrUtYbU/9FHHykxMVHTp09XZGSkBgwYoF/96leqqKhowsovaUj9I0eO1I4dO6relj127JhWrVqlu+++u8nqbozm9H/YV+x2u0JDQyVJpaWl+uaHd3+XZYxOnTpp8ODBkqSoqChFREQoNzfX32UZ5/bbb1dYWJi/yzDCtm3b1L9/f8XExKhVq1a666679Mknn3i0j+s60OXk5KiiokKRkZHV2iMjI5WZmelym8zMTI/6+1JD6r/ak08+qejo6BovcE2lIWPYuHGj/vKXv+i1115roipr15D6jx07pvfee08VFRVatWqVnn76af32t7/Vc88910RV/0dD6p8yZYqeeeYZ3XLLLQoKClL37t11++2366mnnmqiqhuntv/DBQUFunDhQpPU4M59fw29r/SyvLw8xcfHq3Pnznr88ccVERHhxRH4V1PM32U7duxQRUWFYmNjvVB589GUc3g9aOx8ZmRkKCYmpmo5JiZG6enpHtVwXQe6690LL7ygZcuW6YMPPlBISIi/y3FLYWGhHn74Yb322mvGvkBVVlaqY8eOevXVVzVs2DBNmjRJv/jFL7R48WJ/l+aWlJQU/epXv9Kf/vQn7dy5U++//75WrlypZ5991t+lGaO4uFjx8fFatGiRy/XLly9XUlKSkpOTtXPnTsXHx2v8+PE6e/ZsVZ/BgwdrwIABNf5mZGRIktq0aaM9e/YoLS1NS5cuVVZWVpONz9eaYv4kKTc3V4888oheffXVJhlXU2qqObxeeGM+G81nbwgboLS01LLb7TXuuXnkkUese++91+U2sbGx1u9+97tqbXPnzrUGDRrk01pdaUj9l/3mN7+xWrdubX3xxRc+rrJuno5h165dliTLbrdX/bXZbJbNZrPsdrt19OjRJqy+YY/Brbfeat15553V2latWmVJskpLS31a79UaUv8tt9xi/exnP6vW9re//c1q0aKFVVFR4dN66+POPXSjRo2yZs6cWa1tyZIlVnh4uI+rc81VzY29N/ZqP/7xj61333230bU2R76av4sXL1qjRo2y3nrrLa/W2xz58jm4fv366+4euobM56ZNm6yJEydWrZ85c6b19ttve3Tc6/oKXXBwsIYNG6Z169ZVtVVWVmrdunVKTEx0uU1iYmK1/pK0du3aWvv7UkPql6QXX3xRzz77rFavXq3hw4c3UbWueTqGPn36aN++fdq9e3fV33vvvVejR4/W7t27m/xtkYY8BjfffLOOHj2qysrKqrbDhw+rU6dOCg4ObpK6L2tI/SUlJQoIqH7qsNvt0qUfEH1cceM1p//Drnjj3tisrCwVFhZKkvLz8/XZZ5+pd+/ePqu5OfHG/FmWpe9+97u644479PDDD/uw2ubJG3OI/3BnPhMSEvTll18qPT1dRUVF+te//qXx48d7dqBGR1HDLVu2zHI4HNYbb7xhHThwwPrBD35gtWnTxsrMzLQsy7Iefvhh6+c//3lV/02bNlmBgYHWSy+9ZB08eNBKTk72+9eWeFL/Cy+8YAUHB1vvvfeedebMmaq/hYWFfqm/IWO4mr8/5epp/SdPnrTCwsKsGTNmWIcOHbI+/vhjq2PHjtZzzz1nRP3JyclWWFiY9Y9//MM6duyY9cknn1jdu3e3HnzwQb/UX1hYaO3atavq6u2CBQusXbt2WSdOnLAsy7J+/vOfWw8//HBV/8tfW/L4449bBw8etBYtWuTXry25+qf59PR0S5K1efPmav0ef/xxKyEhwa19bt261YqPj7cGDRpkDRw40Fq8eLHX624ufDF/n3/+uWWz2az4+Piqv3v37vV67c2FL+bQsizrzjvvtCIiIqwWLVpYMTExNfZ3rWrofH744YdWz549re7du1t//vOfPT5uoLeTqGkmTZqk7OxszZ07V5mZmRo8eLBWr15dddP0yZMnq12NGDlypJYuXao5c+boqaeeUs+ePbVixQoNGDDAiPpfeeUVlZWV6f7776+2n+TkZM2bN6/J61cDxtDceFp/bGys1qxZo1mzZmnQoEGKiYnRzJkz9eSTTxpR/5w5c2Sz2TRnzhylp6erQ4cOmjBhgn75y1/6pf7t27dr9OjRVctJSUmSpKlTp+qNN97QmTNndPLkyar1Xbt21cqVKzVr1iy9/PLL6ty5s15//XXPfxpuxhISErR7925/l2GsW265pdoVdDTMp59+6u8SjHLvvffq3nvvbfD2NsuE90gA4Bpls9n0wQcfVP22k7KyMoWGhuq9996r9htQpk6dqry8PH344Yd+rLb5Yf4ajzn0Ln/NZ/O97AEA16GG3huLS5i/xmMOvaup5vO6f8sVAJpaUVGRjh49WrWclpam3bt3q127durSpYuSkpI0depUDR8+XAkJCVq4cKGKi4s1bdo0v9bdXDB/jcccelezmM/G3foHAPDU+vXrLUk1/k6dOrWqzx/+8AerS5cuVnBwsJWQkGBt2bLFrzU3J8xf4zGH3tUc5pN76AAAAAzHPXQAAACGI9ABAAAYjkAHAABgOAIdAACA4Qh0AAAAhiPQAQAAGI5ABwAAYDgCHa5b27Zt0+23364WLVqoT58+2r59u1599dVG/XJkAAD8gS8WxnVpy5YtGj16tJ555hlNnDhRTzzxhCoqKrR//3699957GjJkiL9LBADAbQQ6XJdGjhypHj166K233pIkvfPOO5o8ebLuu+8+vf/++/4uDwAAj/CWK647p0+fVmpqqn70ox9VtQUGBsqyLM2fP9+vtQEA0BAEOlx3Dh48KEkaOnRoVduhQ4eUkJCggQMH+rEyANcr7ulFYxHocN3Jz8+X3W6XzWaTJOXm5uqll15SaGiov0sDcB3asmWLbrvtNt1zzz3au3ev+vbtq2eeeUa//vWvedcAbiPQ4bozePBgVVRU6MUXX9RXX32lyZMnKy4uTgcOHNCJEyf8XR6A60xSUpIeeOABPf744+rZs6cmT56slStXKj4+ng9owW0EOlx3evTooWeeeUYvv/yyhgwZoujoaH3yySeKiYnRt771LX+XB+A6wj298BY+5QoAgJ+sXbtW48aN04ULFxQSEiJJev755/Xhhx9qy5Yt/i4PBuEKHQAAfsI9vfAWAh0AAH7CPb3wFgIdAAB+wj298BbuoQMAADAcV+gAAAAMR6ADAAAwHIEOAADAcAQ6AAAAwxHoAAAADEegAwAAMByBDgAAwHAEOgAAAMMR6AAAAAxHoAMAADAcgQ4AAMBwBDoAAADD/f8X1FwSoFdhCQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ds, alphas = compute(15)\n",
    "plot_aD(Ds, alphas, 15)\n",
    "plot_umu(Ds, \"$D$\", 15)\n",
    "plot_umu(alphas, r\"$\\alpha$\", 15)"
   ]
  }
 ],
 "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": "3.13.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}