Synthetic_plots.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/PGM-Lab/2023-RateFunction/blob/main/Synthetic_plots.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!sudo apt-get update\n",
        "!sudo apt install cm-super dvipng texlive-latex-extra texlive-latex-recommended"
      ],
      "metadata": {
        "id": "7uxzv2uot7cd",
        "outputId": "2395b16b-2183-4ccd-c40d-a6b2647f3209",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\r0% [Working]\r            \rGet:1 https://developer.download.nvidia.com/compute/cuda/repos/ubuntu2204/x86_64  InRelease [1,581 B]\n",
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            "Reading package lists... Done\n",
            "Reading package lists... Done\n",
            "Building dependency tree... Done\n",
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            "The following additional packages will be installed:\n",
            "  cm-super-minimal dvisvgm fonts-droid-fallback fonts-lato fonts-lmodern\n",
            "  fonts-noto-mono fonts-texgyre fonts-urw-base35 ghostscript\n",
            "  libapache-pom-java libcommons-logging-java libcommons-parent-java\n",
            "  libfontbox-java libfontenc1 libgs9 libgs9-common libidn12 libijs-0.35\n",
            "  libjbig2dec0 libkpathsea6 libpdfbox-java libptexenc1 libruby3.0 libsynctex2\n",
            "  libteckit0 libtexlua53 libtexluajit2 libwoff1 libzzip-0-13 lmodern\n",
            "  pfb2t1c2pfb poppler-data preview-latex-style rake ruby ruby-net-telnet\n",
            "  ruby-rubygems ruby-webrick ruby-xmlrpc ruby3.0 rubygems-integration t1utils\n",
            "  tex-common tex-gyre texlive-base texlive-binaries texlive-fonts-recommended\n",
            "  texlive-latex-base texlive-pictures texlive-plain-generic tipa\n",
            "  xfonts-encodings xfonts-utils\n",
            "Suggested packages:\n",
            "  fonts-noto fonts-freefont-otf | fonts-freefont-ttf ghostscript-x\n",
            "  libavalon-framework-java libcommons-logging-java-doc\n",
            "  libexcalibur-logkit-java liblog4j1.2-java poppler-utils\n",
            "  fonts-japanese-mincho | fonts-ipafont-mincho fonts-japanese-gothic\n",
            "  | fonts-ipafont-gothic fonts-arphic-ukai fonts-arphic-uming fonts-nanum ri\n",
            "  ruby-dev bundler debhelper perl-tk xpdf | pdf-viewer xzdec\n",
            "  texlive-fonts-recommended-doc texlive-latex-base-doc python3-pygments\n",
            "  icc-profiles libfile-which-perl libspreadsheet-parseexcel-perl\n",
            "  texlive-latex-extra-doc texlive-latex-recommended-doc texlive-luatex\n",
            "  texlive-pstricks dot2tex prerex texlive-pictures-doc vprerex\n",
            "  default-jre-headless tipa-doc\n",
            "The following NEW packages will be installed:\n",
            "  cm-super cm-super-minimal dvipng dvisvgm fonts-droid-fallback fonts-lato\n",
            "  fonts-lmodern fonts-noto-mono fonts-texgyre fonts-urw-base35 ghostscript\n",
            "  libapache-pom-java libcommons-logging-java libcommons-parent-java\n",
            "  libfontbox-java libfontenc1 libgs9 libgs9-common libidn12 libijs-0.35\n",
            "  libjbig2dec0 libkpathsea6 libpdfbox-java libptexenc1 libruby3.0 libsynctex2\n",
            "  libteckit0 libtexlua53 libtexluajit2 libwoff1 libzzip-0-13 lmodern\n",
            "  pfb2t1c2pfb poppler-data preview-latex-style rake ruby ruby-net-telnet\n",
            "  ruby-rubygems ruby-webrick ruby-xmlrpc ruby3.0 rubygems-integration t1utils\n",
            "  tex-common tex-gyre texlive-base texlive-binaries texlive-fonts-recommended\n",
            "  texlive-latex-base texlive-latex-extra texlive-latex-recommended\n",
            "  texlive-pictures texlive-plain-generic tipa xfonts-encodings xfonts-utils\n",
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            "debconf: unable to initialize frontend: Dialog\n",
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            "Selecting previously unselected package ruby3.0.\n",
            "Preparing to unpack .../37-ruby3.0_3.0.2-7ubuntu2.4_amd64.deb ...\n",
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            "Preparing to unpack .../41-ruby-net-telnet_0.1.1-2_all.deb ...\n",
            "Unpacking ruby-net-telnet (0.1.1-2) ...\n",
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            "Preparing to unpack .../42-ruby-webrick_1.7.0-3_all.deb ...\n",
            "Unpacking ruby-webrick (1.7.0-3) ...\n",
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            "Preparing to unpack .../43-ruby-xmlrpc_0.3.2-1ubuntu0.1_all.deb ...\n",
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            "Unpacking tipa (2:1.3-21) ...\n",
            "Setting up pfb2t1c2pfb (0.3-11) ...\n",
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            "Setting up libwoff1:amd64 (1.0.2-1build4) ...\n",
            "Setting up libtexlua53:amd64 (2021.20210626.59705-1ubuntu0.1) ...\n",
            "Setting up libijs-0.35:amd64 (0.35-15build2) ...\n",
            "Setting up libtexluajit2:amd64 (2021.20210626.59705-1ubuntu0.1) ...\n",
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            "Setting up rubygems-integration (1.18) ...\n",
            "Setting up libzzip-0-13:amd64 (0.13.72+dfsg.1-1.1) ...\n",
            "Setting up fonts-urw-base35 (20200910-1) ...\n",
            "Setting up poppler-data (0.4.11-1) ...\n",
            "Setting up tex-common (6.17) ...\n",
            "debconf: unable to initialize frontend: Dialog\n",
            "debconf: (No usable dialog-like program is installed, so the dialog based frontend cannot be used. at /usr/share/perl5/Debconf/FrontEnd/Dialog.pm line 78.)\n",
            "debconf: falling back to frontend: Readline\n",
            "update-language: texlive-base not installed and configured, doing nothing!\n",
            "Setting up libfontenc1:amd64 (1:1.1.4-1build3) ...\n",
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            "Setting up xfonts-encodings (1:1.0.5-0ubuntu2) ...\n",
            "Setting up t1utils (1.41-4build2) ...\n",
            "Setting up libidn12:amd64 (1.38-4ubuntu1) ...\n",
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            "Setting up texlive-binaries (2021.20210626.59705-1ubuntu0.1) ...\n",
            "update-alternatives: using /usr/bin/xdvi-xaw to provide /usr/bin/xdvi.bin (xdvi.bin) in auto mode\n",
            "update-alternatives: using /usr/bin/bibtex.original to provide /usr/bin/bibtex (bibtex) in auto mode\n",
            "Setting up lmodern (2.004.5-6.1) ...\n",
            "Setting up texlive-base (2021.20220204-1) ...\n",
            "/usr/bin/ucfr\n",
            "/usr/bin/ucfr\n",
            "/usr/bin/ucfr\n",
            "/usr/bin/ucfr\n",
            "mktexlsr: Updating /var/lib/texmf/ls-R-TEXLIVEDIST... \n",
            "mktexlsr: Updating /var/lib/texmf/ls-R-TEXMFMAIN... \n",
            "mktexlsr: Updating /var/lib/texmf/ls-R... \n",
            "mktexlsr: Done.\n",
            "tl-paper: setting paper size for dvips to a4: /var/lib/texmf/dvips/config/config-paper.ps\n",
            "tl-paper: setting paper size for dvipdfmx to a4: /var/lib/texmf/dvipdfmx/dvipdfmx-paper.cfg\n",
            "tl-paper: setting paper size for xdvi to a4: /var/lib/texmf/xdvi/XDvi-paper\n",
            "tl-paper: setting paper size for pdftex to a4: /var/lib/texmf/tex/generic/tex-ini-files/pdftexconfig.tex\n",
            "debconf: unable to initialize frontend: Dialog\n",
            "debconf: (No usable dialog-like program is installed, so the dialog based frontend cannot be used. at /usr/share/perl5/Debconf/FrontEnd/Dialog.pm line 78.)\n",
            "debconf: falling back to frontend: Readline\n",
            "Setting up tex-gyre (20180621-3.1) ...\n",
            "Setting up dvipng (1.15-1.1) ...\n",
            "Setting up texlive-plain-generic (2021.20220204-1) ...\n",
            "Setting up texlive-latex-base (2021.20220204-1) ...\n",
            "Setting up texlive-latex-recommended (2021.20220204-1) ...\n",
            "Setting up texlive-pictures (2021.20220204-1) ...\n",
            "Setting up texlive-fonts-recommended (2021.20220204-1) ...\n",
            "Setting up tipa (2:1.3-21) ...\n",
            "Setting up cm-super-minimal (0.3.4-17) ...\n",
            "Setting up texlive-latex-extra (2021.20220204-1) ...\n",
            "Setting up cm-super (0.3.4-17) ...\n",
            "Creating fonts. This may take some time... done.\n",
            "Setting up rake (13.0.6-2) ...\n",
            "Setting up libruby3.0:amd64 (3.0.2-7ubuntu2.4) ...\n",
            "Setting up ruby3.0 (3.0.2-7ubuntu2.4) ...\n",
            "Setting up ruby (1:3.0~exp1) ...\n",
            "Setting up ruby-rubygems (3.3.5-2) ...\n",
            "Processing triggers for man-db (2.10.2-1) ...\n",
            "Processing triggers for fontconfig (2.13.1-4.2ubuntu5) ...\n",
            "Processing triggers for libc-bin (2.35-0ubuntu3.4) ...\n",
            "/sbin/ldconfig.real: /usr/local/lib/libtbb.so.12 is not a symbolic link\n",
            "\n",
            "/sbin/ldconfig.real: /usr/local/lib/libtbbmalloc_proxy.so.2 is not a symbolic link\n",
            "\n",
            "/sbin/ldconfig.real: /usr/local/lib/libtbbbind.so.3 is not a symbolic link\n",
            "\n",
            "/sbin/ldconfig.real: /usr/local/lib/libtbbmalloc.so.2 is not a symbolic link\n",
            "\n",
            "/sbin/ldconfig.real: /usr/local/lib/libtbbbind_2_5.so.3 is not a symbolic link\n",
            "\n",
            "/sbin/ldconfig.real: /usr/local/lib/libtbbbind_2_0.so.3 is not a symbolic link\n",
            "\n",
            "Processing triggers for tex-common (6.17) ...\n",
            "debconf: unable to initialize frontend: Dialog\n",
            "debconf: (No usable dialog-like program is installed, so the dialog based frontend cannot be used. at /usr/share/perl5/Debconf/FrontEnd/Dialog.pm line 78.)\n",
            "debconf: falling back to frontend: Readline\n",
            "Running updmap-sys. This may take some time... done.\n",
            "Running mktexlsr /var/lib/texmf ... done.\n",
            "Building format(s) --all.\n",
            "\tThis may take some time... done.\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import torch.nn as nn\n",
        "import torch.nn.functional as F\n",
        "import torch\n",
        "import torch.optim as optim\n",
        "from torchvision import datasets, transforms\n",
        "import numpy as np\n",
        "import torchvision\n",
        "from tqdm import tqdm\n",
        "import copy\n",
        "from google.colab import files\n",
        "import pickle"
      ],
      "metadata": {
        "id": "Ch1p-sWB4gZn"
      },
      "execution_count": 25,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "B2EOnCShVSJ4"
      },
      "source": [
        "# Set-Up\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {
        "id": "lXsO6OyvFiJz"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib\n",
        "\n",
        "from matplotlib.pyplot import figure\n",
        "import scipy as sp\n",
        "\n",
        "import matplotlib as mpl"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "\n",
        "def non_latex_format():\n",
        "    mpl.rcParams.update(mpl.rcParamsDefault)\n",
        "\n",
        "    matplotlib.rcParams['pdf.fonttype'] = 42\n",
        "    matplotlib.rcParams['ps.fonttype'] = 42\n",
        "    plt.rcParams['figure.figsize'] = (16, 7)\n",
        "    fontsize = 30\n",
        "    matplotlib.rcParams.update({'font.size': fontsize})\n",
        "\n",
        "def latex_format():\n",
        "  plt.rcParams.update({\n",
        "      'font.size': 10,\n",
        "      'text.usetex': True,\n",
        "      'text.latex.preamble': r'\\usepackage{amsfonts}\\usepackage{bm}'\n",
        "  })\n",
        "  mpl.rc('font',family='Times New Roman')\n",
        "  matplotlib.rcParams['pdf.fonttype'] = 42\n",
        "  matplotlib.rcParams['ps.fonttype'] = 42\n",
        "  plt.rcParams['figure.figsize'] = (16, 9)\n",
        "  fontsize = 30\n",
        "  matplotlib.rcParams.update({'font.size': fontsize})\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "id": "SGFSfuIHtlid"
      },
      "execution_count": 27,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "latex_format()"
      ],
      "metadata": {
        "id": "rBIV2xy_tmFy"
      },
      "execution_count": 28,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Data"
      ],
      "metadata": {
        "id": "Nyjb_iYxcdCR"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "x = np.linspace(0, 0.5, 100)"
      ],
      "metadata": {
        "id": "G03F8NCgFni2"
      },
      "execution_count": 29,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "model1 = lambda x: (x**2)/2\n",
        "model2 = lambda x: (x**2)/1\n",
        "model3 = lambda x: (x**2)/3"
      ],
      "metadata": {
        "id": "K1jXFnYkpm_T"
      },
      "execution_count": 30,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(x, model1(x), linewidth = 5, label = r\"$J_{\\theta_1}(\\lambda)$\")\n",
        "plt.plot(x, model2(x), linewidth = 5, label = r\"$J_{\\theta_2}(\\lambda)$\")\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "slope = 0.4\n",
        "pos = slope/2\n",
        "lambd = pos\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "\n",
        "\n",
        "plt.vlines(lambd, 0, model2(lambd))\n",
        "plt.annotate(xy = (lambd, model2(lambd)),\n",
        "             xytext = (lambd - 0.2,  model2(lambd) + 0.05),\n",
        "             text = r\"$f(x) = 0.4 \\cdot x - J_{\\theta_2}(\\lambda_{\\theta_2}^\\star)$\",\n",
        "             arrowprops=dict(arrowstyle = \"simple\", facecolor='black', relpos = (0.5, 0.5)))\n",
        "\n",
        "\n",
        "plt.scatter(lambd, 0, s=100, color = \"purple\", zorder = 3)\n",
        "plt.text(lambd-0.01, -0.03, r\"$\\lambda_{\\theta_2}^\\star$\")\n",
        "plt.plot(x_, slope * x_ - model2(slope/2), \"-.\", color = \"brown\", linewidth=3, label = r\"Tangent lines\")\n",
        "x_ = np.linspace(slope/2-0.1, slope/2+0.1, 10)\n",
        "plt.plot(x_, slope * x_ - model2(slope/2), \"-.\", color = \"brown\", linewidth=3)\n",
        "plt.scatter(0, - model2(slope/2), s = 100, color = \"purple\", zorder = 3)\n",
        "# plt.annotate(xy = (0, - model2(slope/2)),\n",
        "#              xytext = (0.1, - model2(slope/2)),\n",
        "#              text = r\"$\\mathcal{I}(\\theta_2, 0.4)$\",\n",
        "#              arrowprops=dict(arrowstyle = \"simple\", facecolor='black', shrinkA = 20, shrinkB=20, relpos = (0.5, 0.5)))\n",
        "\n",
        "plt.annotate(r\"$\\mathcal{I}_{\\theta_2}(0.4)$\", xy = (0, - model1(slope/2)/2 - 0.01 ) , xytext = (-0.15, - model1(slope/2)/2- 0.01 - 0.007),\n",
        "            arrowprops=dict(arrowstyle='-[, widthB=00.7, lengthB=.5', shrinkA = 5,shrinkB = 30, lw=1.0))\n",
        "\n",
        "\n",
        "pos = slope\n",
        "lambd = pos\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "plt.vlines(lambd, 0, model1(lambd))\n",
        "\n",
        "plt.annotate(xy = (lambd, model1(lambd)),\n",
        "             xytext = (lambd - 0.15,  model1(lambd) + 0.05),\n",
        "             text = r\"$f(x) = 0.4 \\cdot x - J_{\\theta_1}(\\lambda_{\\theta_1}^\\star)$\",\n",
        "             arrowprops=dict(arrowstyle = \"simple\", facecolor='black', relpos = (0.5, 0.5)))\n",
        "\n",
        "plt.scatter(lambd, 0, s = 100, color = \"purple\", zorder = 3)\n",
        "plt.text(lambd-0.01, -0.03, r\"$\\lambda_{\\theta_1}^\\star$\")\n",
        "\n",
        "plt.plot(x_, slope * x_ - model1(slope), \"-.\", color = \"brown\", linewidth=3)\n",
        "x_ = np.linspace(slope-0.1, slope+0.1, 10)\n",
        "plt.plot(x_, slope * x_ - model1(slope), \"-.\", color = \"brown\", linewidth=3)\n",
        "plt.scatter(0, - model1(slope), s = 100, color = \"purple\", zorder = 3)\n",
        "# plt.annotate(xy = (0, - model1(slope)),\n",
        "#              xytext = (0.1, - model1(slope)),\n",
        "#              text = r\"$\\mathcal{I}(\\theta_1, 0.4)$\",\n",
        "#              arrowprops=dict(arrowstyle = \"simple\", facecolor='black', shrinkA = 20, shrinkB=20, relpos = (0.5, 0.5)))\n",
        "\n",
        "plt.annotate(r\"$\\mathcal{I}_{\\theta_1}(0.4)$\", xy = (0, - model1(slope)/2), xytext = (0.05, - model1(slope)/2 - 0.006),\n",
        "            arrowprops=dict(arrowstyle='-[, widthB=01.4, lengthB=.5', shrinkA = 20,shrinkB = 30, lw=1.0))\n",
        "\n",
        "\n",
        "ax = plt.gca()\n",
        "ylim = ax.get_ylim()\n",
        "xlim = ax.get_xlim()\n",
        "\n",
        "\n",
        "plt.vlines(0, ylim[0], ylim[1], color = \"black\")\n",
        "plt.hlines(0, xlim[0], xlim[1], color = \"black\")\n",
        "\n",
        "plt.legend()\n",
        "ax.set_xlim([xlim[0]-0.1, xlim[1]])\n",
        "ax.set_ylim([ylim[0], ylim[1]])\n",
        "plt.axis(\"off\")\n",
        "plt.savefig(\"plot.pdf\", format = \"pdf\",bbox_inches='tight')\n",
        "#plt.show()\n"
      ],
      "metadata": {
        "id": "s3Z43dJrpmh7",
        "outputId": "3a80bea6-5169-4861-fc95-bb82cc868ba0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 730
        }
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x900 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(x, model2(x), linewidth = 5, label = r\"$J_{\\theta}(\\lambda)$\")\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "slope = 0.4\n",
        "pos = slope/2\n",
        "lambd = pos\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "\n",
        "\n",
        "plt.vlines(lambd, 0, model2(lambd))\n",
        "plt.annotate(xy = (lambd, model2(lambd)),\n",
        "             xytext = (lambd - 0.08,  model2(lambd) + 0.02),\n",
        "             fontsize = 34,\n",
        "             text = r\"$f(\\lambda) = \\lambda \\cdot a - J_{\\theta}(\\lambda_{\\theta}^\\star)$\",\n",
        "             arrowprops=dict(arrowstyle = \"simple\", facecolor='black', relpos = (0.5, 0.5)))\n",
        "\n",
        "\n",
        "plt.scatter(lambd, 0, s=100, color = \"purple\", zorder = 3)\n",
        "plt.text(lambd-0.01, -0.02, r\"$\\lambda_{\\theta}^\\star$\",\n",
        "             fontsize = 34)\n",
        "plt.plot(x, slope * x - model2(slope/2), \"-.\", color = \"brown\", linewidth=3, label = r\"Tangent line $f(\\lambda)$\")\n",
        "x_ = np.linspace(slope/2-0.1, slope/2+0.1, 10)\n",
        "plt.plot(x_, slope * x_ - model2(slope/2), \"-.\", color = \"brown\", linewidth=3)\n",
        "plt.scatter(0, - model2(slope/2), s = 100, color = \"purple\", zorder = 3)\n",
        "# plt.annotate(xy = (0, - model2(slope/2)),\n",
        "#              xytext = (0.1, - model2(slope/2)),\n",
        "#              text = r\"$\\mathcal{I}(\\theta_2, 0.4)$\",\n",
        "#              arrowprops=dict(arrowstyle = \"simple\", facecolor='black', shrinkA = 20, shrinkB=20, relpos = (0.5, 0.5)))\n",
        "\n",
        "ax = plt.gca()\n",
        "ylim = ax.get_ylim()\n",
        "xlim = ax.get_xlim()\n",
        "plt.annotate(r\"$\\mathcal{I}_{\\theta}(a)$\", xy = (0, - model1(slope/2)/2-0.01 ) , xytext = (-0.05, - model1(slope/2)/2- 0.01 - 0.004),\n",
        "            arrowprops=dict(arrowstyle='-[, widthB=01., lengthB=.5', shrinkA = 5,shrinkB = 30, lw=1.0))\n",
        "\n",
        "\n",
        "plt.vlines(0, ylim[0], ylim[1], color = \"black\")\n",
        "plt.hlines(0, xlim[0], xlim[1], color = \"black\")\n",
        "\n",
        "plt.legend(loc=\"upper left\")\n",
        "print(xlim[1])\n",
        "print(ylim[1])\n",
        "ax.set_xlim([xlim[0], 0.3])\n",
        "ax.set_ylim([ylim[0], 0.1])\n",
        "plt.axis(\"off\")\n",
        "plt.savefig(\"plot.pdf\", format = \"pdf\",bbox_inches='tight')\n",
        "#plt.show()\n"
      ],
      "metadata": {
        "id": "Gp1l47IA93lR",
        "outputId": "fcfe906a-994c-4e07-f26f-b3311da465aa",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 765
        }
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.525\n",
            "0.2645\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x900 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "plt.rcParams['figure.figsize'] = (16, 8)\n",
        "plt.tick_params(left = True, right = False , labelleft = True , labelbottom = True, bottom = True)\n",
        "plt.grid(True, \"both\")\n",
        "\n",
        "plt.plot(x, model2(x), linewidth = 5, label = r\"$\\mathcal{I}_{\\bm{\\theta}}(a)$\", color = \"cornflowerblue\", marker = \"o\",  markersize=15, markevery=(20, 12))\n",
        "plt.plot(x, model1(x), linewidth = 5, label = r\"$\\mathcal{I}_{\\bm{\\theta}'}(a)$\", color = \"goldenrod\", marker = \">\",  markersize=15, markevery=(20, 12))\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "slope = 0.6\n",
        "pos = slope/2\n",
        "lambd = pos\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "\n",
        "\n",
        "plt.plot([0,lambd], [0,0], color = \"crimson\", linewidth = 8, zorder = 3, label = r\"$(0, \\beta]$\", solid_capstyle='round')\n",
        "\n",
        "\n",
        "plt.annotate(r\"Theorem 4.3 Critical region\", xy = (lambd/2,0) , xytext = (lambd/4, 0.05),\n",
        "            arrowprops=dict(arrowstyle='simple', facecolor='black', relpos = (0.5, 0.5)))\n",
        "\n",
        "\n",
        "plt.scatter(lambd, 0, s=100, color = \"purple\", zorder = 3)\n",
        "plt.text(lambd-0.03, model2(lambd) + 0.005, r\"$\\mathcal{I}_{\\bm{\\theta}}(\\beta)$\")\n",
        "\n",
        "plt.scatter(lambd, model2(lambd), zorder = 3, s=100, color = \"purple\")\n",
        "x_ = np.linspace(slope/2-0.1, slope/2+0.1, 10)\n",
        "\n",
        "ax = plt.gca()\n",
        "ylim = ax.get_ylim()\n",
        "xlim = ax.get_xlim()\n",
        "plt.xticks([0, 0.3], [0, r\"$\\beta$\"])\n",
        "plt.xticks([0.05, 0.1, 0.15, 0.2, 0.25], minor = True)\n",
        "plt.yticks([0, model2(lambd)], [0, r\"$\\frac{p}{n}\\ln\\frac{k}{\\delta}$\"])\n",
        "plt.yticks([model2(lambd)/2, 6*model2(lambd)/4, 8*model2(lambd)/4], minor = True)\n",
        "\n",
        "\n",
        "plt.legend(loc = 2, fontsize=36)\n",
        "print(xlim[1])\n",
        "ax.set_xlim([-0.01, 0.35])\n",
        "ax.set_ylim([-0.01, 0.2])\n",
        "#plt.axis('off')\n",
        "plt.savefig(\"I_Theorem_4.3.pdf\", format = \"pdf\",bbox_inches='tight')\n",
        "#plt.show()"
      ],
      "metadata": {
        "id": "sPwUuak-pte3",
        "outputId": "6655b7f5-3604-48c6-8edf-197e2ad173d5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 716
        }
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.525\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x800 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "plt.rcParams['figure.figsize'] = (16, 8)\n",
        "plt.tick_params(left = True, right = False , labelleft = True , labelbottom = True, bottom = True)\n",
        "plt.grid(True, \"both\")\n",
        "\n",
        "plt.plot(x, model2(x), linewidth = 5, label = r\"$\\mathcal{I}_{\\bm{\\theta}}(a)$\", color = \"cornflowerblue\", marker = \"o\",  markersize=15, markevery=(20, 14))\n",
        "plt.plot(x, model1(x), linewidth = 5, label = r\"$\\mathcal{I}_{\\bm{\\theta}'}(a)$\", color = \"goldenrod\", marker = \">\",  markersize=15, markevery=(20, 14))\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "slope = 0.6\n",
        "pos = slope/2\n",
        "lambd = pos\n",
        "pos2 = 0.35\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "\n",
        "\n",
        "plt.plot([0,lambd], [0,0], color = \"crimson\", linewidth = 8, zorder = 3, label = r\"$\\textstyle (0, \\frac{1}{n}\\ln\\frac{k^p}{\\delta})$\", solid_capstyle='round')\n",
        "plt.plot([0,lambd], [model2(lambd),model2(lambd)], color = \"black\", linewidth = 1, linestyle = \"dashed\")\n",
        "plt.plot([lambd,lambd], [0,model2(lambd)], color = \"black\", linewidth = 1, linestyle = \"dashed\")\n",
        "\n",
        "\n",
        "plt.annotate(r\"Theorem 4.3 Critical region\", xy = (lambd/2,0) , xytext = (lambd/4-0.001, 0.05),\n",
        "            arrowprops=dict(arrowstyle='simple', facecolor='black', relpos = (0.5, 0.5)))\n",
        "plt.scatter(lambd, model2(lambd), s=100, color = \"purple\", zorder = 3)\n",
        "\n",
        "\n",
        "plt.scatter(pos2, 0, s=100, color = \"purple\", zorder = 3)\n",
        "plt.text(pos2+0.01, model2(pos2) - 0.005, r\"$\\mathcal{I}_{\\bm{\\theta}}(\\beta)$\")\n",
        "\n",
        "plt.scatter(pos2, model2(pos2), zorder = 3, s=100, color = \"purple\")\n",
        "x_ = np.linspace(slope/2-0.1, slope/2+0.1, 10)\n",
        "\n",
        "ax = plt.gca()\n",
        "ylim = ax.get_ylim()\n",
        "xlim = ax.get_xlim()\n",
        "plt.xticks([0, 0.3, pos2], [0, r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}}\\Big(\\frac{1}{n}\\ln\\frac{k^p}{\\delta}\\Big)$\", r\"$\\beta$\"])\n",
        "plt.xticks([0.05, 0.1, 0.15, 0.2, 0.25], minor = True)\n",
        "plt.yticks([0, model2(lambd)], [0, r\"$\\frac{1}{n}\\ln\\frac{k^p}{\\delta}$\"])\n",
        "plt.yticks([model2(lambd)/2, 6*model2(lambd)/4, 8*model2(lambd)/4], minor = True)\n",
        "\n",
        "\n",
        "plt.legend(loc = 2, fontsize=36)\n",
        "print(xlim[1])\n",
        "ax.set_xlim([-0.01, 0.4])\n",
        "ax.set_ylim([-0.01, 0.2])\n",
        "#plt.axis('off')\n",
        "plt.savefig(\"I_Theorem_4_3.pdf\", format = \"pdf\",bbox_inches='tight')\n",
        "#plt.show()"
      ],
      "metadata": {
        "id": "tNr0D2DFEjCS",
        "outputId": "ba6fa326-7dd9-4e20-f356-b5e437a4b942",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 730
        }
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.525\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x800 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model1_inv = lambda x: (2*x)**(1/2)\n",
        "model2_inv = lambda x: x**(1/2)"
      ],
      "metadata": {
        "id": "3RTcoU6Z_0j9"
      },
      "execution_count": 35,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "plt.rcParams['figure.figsize'] = (16, 8)\n",
        "plt.tick_params(left = True, right = False , labelleft = True , labelbottom = True, bottom = True)\n",
        "plt.grid(True, \"both\")\n",
        "\n",
        "plt.plot(x, model2_inv(x), linewidth = 5, label = r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}}(s)$\", color = \"cornflowerblue\", marker = \"o\",  markersize=15, markevery=(5, 7))\n",
        "plt.plot(x, model1_inv(x), linewidth = 5, label = r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}'}(s)$\", color = \"goldenrod\", marker = \">\",  markersize=15, markevery=(5, 7))\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "slope = 0.6\n",
        "pos = slope/2\n",
        "lambd = pos\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "\n",
        "\n",
        "plt.plot([0,0], [0,lambd], color = \"crimson\", linewidth = 8, zorder = 3, label = r\"$(0, \\beta]$\", solid_capstyle='round')\n",
        "\n",
        "\n",
        "plt.annotate(r\"Theorem 4.3 Critical region\", xy = (0, lambd/2) , xytext = (0.02, lambd/4),\n",
        "            arrowprops=dict(arrowstyle='simple', facecolor='black', relpos = (0.5, 0.5)))\n",
        "\n",
        "\n",
        "plt.scatter(0, lambd, s=100, color = \"purple\", zorder = 3)\n",
        "plt.text( model2(lambd) + 0.005, lambd-0.03, r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}}(\\frac{1}{n}\\ln\\frac{k^p}{\\delta})$\")\n",
        "\n",
        "plt.scatter(model2(lambd), lambd, zorder = 3, s=100, color = \"purple\")\n",
        "x_ = np.linspace(slope/2-0.1, slope/2+0.1, 10)\n",
        "\n",
        "ax = plt.gca()\n",
        "ylim = ax.get_ylim()\n",
        "xlim = ax.get_xlim()\n",
        "plt.yticks([0, 0.3], [0, r\"$\\beta$\"])\n",
        "plt.yticks([0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35], minor = True)\n",
        "plt.xticks([0, model2(lambd)], [0, r\"$\\frac{1}{n}\\ln\\frac{k^p}{\\delta}$\"])\n",
        "plt.xticks([model2(lambd)/2, 6*model2(lambd)/4, 8*model2(lambd)/4], minor = True)\n",
        "\n",
        "\n",
        "plt.legend(fontsize=36)\n",
        "print(xlim[1])\n",
        "ax.set_xlim([-0.01, 0.2])\n",
        "ax.set_ylim([-0.01, 0.4])\n",
        "#plt.axis('off')\n",
        "plt.savefig(\"Iinv_Theorem_4_3.pdf\", format = \"pdf\",bbox_inches='tight')\n",
        "#plt.show()"
      ],
      "metadata": {
        "id": "g7og-0zg_uSB",
        "outputId": "139de24b-331c-40d6-cd8c-b6f018f5cf4f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 730
        }
      },
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.525\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x800 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "plt.rcParams['figure.figsize'] = (16, 8)\n",
        "plt.tick_params(left = True, right = False , labelleft = True , labelbottom = True, bottom = True)\n",
        "plt.grid(True, \"both\")\n",
        "\n",
        "plt.plot(x, model2_inv(x), linewidth = 5, label = r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}}(s)$\", color = \"cornflowerblue\", marker = \"o\",  markersize=15, markevery=(5, 7))\n",
        "plt.plot(x, model1_inv(x), linewidth = 5, label = r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}'}(s)$\", color = \"goldenrod\", marker = \">\",  markersize=15, markevery=(5, 7))\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "slope = 0.6\n",
        "pos = slope/2\n",
        "lambd = pos\n",
        "pos2 = 0.35\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "\n",
        "\n",
        "plt.plot([0,0], [0,lambd],  color = \"crimson\", linewidth = 8, zorder = 3, label = r\"$\\big(0, \\frac{p}{n}\\ln\\frac{k}{\\delta}\\big)$\", solid_capstyle='round')\n",
        "plt.plot([model2(lambd),model2(lambd)], [0,lambd],  color = \"black\", linewidth = 1, linestyle = \"dashed\")\n",
        "plt.plot([0,model2(lambd)],[lambd,lambd],  color = \"black\", linewidth = 1, linestyle = \"dashed\")\n",
        "\n",
        "\n",
        "plt.annotate(r\"Theorem 9 Critical region\", xy = (0, lambd/2) , xytext = (0.015, lambd/4),\n",
        "            arrowprops=dict(arrowstyle='simple', facecolor='black', relpos = (0.5, 0.5)))\n",
        "plt.scatter(model2(lambd), lambd,  s=100, color = \"purple\", zorder = 3)\n",
        "\n",
        "\n",
        "plt.scatter(0, pos2,  s=100, color = \"purple\", zorder = 3)\n",
        "\n",
        "x_ = np.linspace(slope/2-0.1, slope/2+0.1, 10)\n",
        "\n",
        "ax = plt.gca()\n",
        "ylim = ax.get_ylim()\n",
        "xlim = ax.get_xlim()\n",
        "plt.yticks([0, 0.3, pos2], [0, r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}}\\big(\\frac{p}{n}\\ln\\frac{k}{\\delta}\\big)$\", r\"$\\beta$\"])\n",
        "plt.yticks([0.05, 0.1, 0.15, 0.2, 0.25], minor = True)\n",
        "plt.xticks([0, model2(lambd)], [0, r\"$\\frac{p}{n}\\ln\\frac{k}{\\delta}$\"])\n",
        "plt.xticks([model2(lambd)/2, 6*model2(lambd)/4, 8*model2(lambd)/4], minor = True)\n",
        "\n",
        "\n",
        "plt.legend(fontsize=36)\n",
        "ax.set_ylim([-0.02, 0.4])\n",
        "ax.set_xlim([-0.005, 0.2])\n",
        "#plt.axis('off')\n",
        "plt.savefig(\"Theorem9_2.pdf\", format = \"pdf\",bbox_inches='tight')\n",
        "#plt.show()"
      ],
      "metadata": {
        "id": "PqfndF8AHFe6",
        "outputId": "6de37a07-3fe5-4d63-ed02-da5783a88580",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 713
        }
      },
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x800 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.rcParams['figure.figsize'] = (16, 7)\n",
        "\n",
        "plt.plot(x, model2(x), linewidth = 5, label = r\"$\\mathcal{I}_{\\theta}(a)$\")\n",
        "\n",
        "\n",
        "\n",
        "slope = 0.6\n",
        "pos = slope/2\n",
        "lambd = pos\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "\n",
        "\n",
        "plt.hlines(model2(lambd), 0,lambd)\n",
        "plt.plot([0,lambd], [model2(lambd),model2(lambd)], color = \"crimson\", linewidth = 5, zorder = 3)\n",
        "\n",
        "\n",
        "plt.annotate(r\"${\\cal I}_{\\theta}^{-1}(\\frac{1}{n}\\alpha) = L(\\theta) - \\hat{L}(\\theta, D)$\",  fontsize = 36, xy = (lambd/2,model2(lambd)) , xytext = (lambd/4, model2(lambd)+0.05),\n",
        "            arrowprops=dict(arrowstyle='simple', facecolor='black', relpos = (0.5, 0.5)))\n",
        "\n",
        "\n",
        "plt.scatter(lambd, model2(lambd), zorder = 3, s=100, color = \"purple\")\n",
        "x_ = np.linspace(slope/2-0.1, slope/2+0.1, 10)\n",
        "# plt.annotate(xy = (0, - model2(slope/2)),\n",
        "#              xytext = (0.1, - model2(slope/2)),\n",
        "#              text = r\"$\\mathcal{I}(\\theta_2, 0.4)$\",\n",
        "#              arrowprops=dict(arrowstyle = \"simple\", facecolor='black', shrinkA = 20, shrinkB=20, relpos = (0.5, 0.5)))\n",
        "\n",
        "plt.annotate(r\"$\\frac{1}{n}\\alpha(\\theta, D)$\", xy = (0,  model1(slope/2)/2 + 0.02 ) , fontsize = 36, xytext = (-0.1,  model1(slope/2)/2+ 0.02 -0.0065),\n",
        "            arrowprops=dict(arrowstyle='-[, widthB=02, lengthB=.5', shrinkA = 5,shrinkB = 20, lw=1.0))\n",
        "\n",
        "\n",
        "\n",
        "ax = plt.gca()\n",
        "ylim = ax.get_ylim()\n",
        "xlim = ax.get_xlim()\n",
        "\n",
        "\n",
        "plt.vlines(0, ylim[0], ylim[1], color = \"black\")\n",
        "plt.hlines(0, xlim[0], xlim[1], color = \"black\")\n",
        "\n",
        "print(xlim[1])\n",
        "plt.legend(loc = \"upper left\",  fontsize = 36,)\n",
        "ax.set_xlim([xlim[0]-0.1, 0.32])\n",
        "ax.set_ylim([-0.01, 0.2])\n",
        "plt.axis('off')\n",
        "plt.savefig(\"plot.pdf\", format = \"pdf\",bbox_inches='tight')"
      ],
      "metadata": {
        "id": "Cl7dt_4EBHN6",
        "outputId": "e03f7ffd-6705-4dac-f595-4f8d3ba28a38",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 593
        }
      },
      "execution_count": 38,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.525\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x700 with 1 Axes>"
            ],
            "image/png": 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OensnPSu9sLsUv98fD6/cbrcaGxuTPjfWNSGNTzWb/L32+/0X7RacjNhjlq0Xdz6fTz6fLyvXtorZXFcs07GeuJi/JG3btk319fUznhcKhSYEKcmccynZHm/zGeMst7K9fl3iBh3S+B930sFzDLnGphMAAADSRZ1L+bh+naRZn26ZjnA4PGGn11R3fU3sFJv8wrGtrU2VlZVpvYCcC12JVjdb64pJmY/1yWMn2S6hyWFRshsITMZ4Sx/jLLeyuX7d5A06YpsOpYPnGHKNwA4AAEAXv4CzUjdCLlj5hcr27dvjL8hcLpcaGhpSOj8xsJvcObF9+/aUA8AYq3clzgWz2fkUk+5Y3717d/y2y+VKespw4s8al8uV9nRAxlv6GGe5lc3163bu3Dnh43SWN4jhOYZcI7ADAABQdtfTmUu6urokpf9CxWazmf42WeI0r3Re6E31tQUCAYVCoZQDQJjH7HXF/H7/lNPZMh3riddNZTH/xJ81Vh1rXq83K8/l6d4qKipmbY1GxlluZfP3rd/vn/DxfF9GAPMbgR0AAMh7k6cceb3eHFWSe4sXL5Zk3amx2Zzm1dTUpG3btpl2PaQmG11PTU1NU47lTMd64nnJTukLBAITzsvnnzW5wjjLrWyuX9fW1jbh625sbKRLDnMam04AAIC8Z+YUmvkitlB6qgzDMLmSiSZvBmHWi73YC71UNq+YzKoh51xh9rpisfUIZ+rgSXesJ56XbCiQOH5ra2sz2nk3m+OtpaVFLS0tWbt+LjHOciub69dNXs4g0z/A8DMduUZgBwAA8l7iNKza2tq8/ou81b/2xB0TzZjKJo1POdu6dWtaO8Mmmis77FqV2Z1P27dvn7azKNPvU+KL+WQDkcTdKzOdqsd4Sw/jLLeytX7d5GnJLS0tGT/2PMeQawR2AAAgr4VCoQn/yc/W1CG/3x8PhLq7u7Vjxw5LrpUXWxjdqp0Fid8rsx4/r9er2trajF84xh6zbG3Y0dbWlpOuJ5fLJZ/Pl/UuHTPXFQuFQgoGg9OGsGaO9WQeG7/fH7+v6urqjMdvtsfbfMU4y61srF83eefw+vp6U9bt4zmGXCOwAwAAeS0xAKmurjZ9d9hwOCyPxyOXyxXvLGhra9OmTZt04MABy/3lPvaCMN3pW9mWTrfJTEKhkDo7OzO+Tuwxy1awtXv37ou6g2aDy+VSKBTKamBndtdTU1OTqqurp60507HucrlSekGf2OlkRtdTtsfbfMQ4y61srV/n8Xjij5Hb7c64WzqG5xhyjU0nAABAXkvcUS7VFzehUOiiHekm27Rpk7q7uye8gIiFgpPX27GC2AsTq3bYJb5wqqqqMuWaZr24S3zBmA0+n0+GYcz6W09Pj6kLw1+KmeuKBQIBtbW1zdgtm+lYTwxPZgreYzsQS+PPfzMez2yPt/mIcZZb2Vi/rqmpKX7dxD+MmYHnGHKNwA4AAOStxKlDqUyJjHXNVVVVTRu61dXVTTldyu12T1hnyCoSXxAmTj+1isQXTmZNUzLrxdju3bslmRck5hOzOp9iz01p5s1jMh3rqdQY+2OAy+XSjh07Ur6vS2G8pY5xlltmr1/X3Nys5uZmSeM/xw8cOGBquMZzDLlGYAcAAPJS4po3qU6h2bRpU3yjiqm68vx+vwKBgBobGy/5AqKyslLhcPiiKUJWEHsRZcXaEtc8SjdQzFb3YKweq60ZNReYsa5YOBzWpk2bFA6HVV9fn9Q1MhnrNTU1SR0XCATiQZHP5zNtGjzjLXWMs+k1NzerpqZGXq83Kz8nzVy/zuPxxH+HV1dXq6Ojw/QlJniOIdcI7AAAQF7aunWrwuFwfApNsv/R9/v98RddjY2Nl1zYOhwOx6dJbdu27ZLXid2fFdeKi01TsmKHXeL0s1j3QyoCgYA2bdo04XNmfQ9i48Jq09Cszoyup2AwqJqamvj3YMuWLUmdl8lYT6xzuvNjY7ahocGUhfBjGG+pYZxNz+/3q6mpScFgUH6/P+mgMFlmrV8XCARUVVUV/6NZY2NjVsI6iecYco9NJwAAwLzV3Nys3bt3X9QpkLgzbGVlZVI7w3Z3dyscDisUCsWnG021QcXWrVsladrui1hNVgzFYt0E6QRi2eZ2u9XY2Kjm5ub4C7Zkeb1eBQIBdXR0qKmpKX7+5PHR1NSkjRs3prQBCZ0Y6Zu8820qQUEwGNT27dsnjAWXy5X09y6Tse52u1VdXa1gMKhgMHjJTlqv16tQKKTa2lpTd/hlvKWOcTa9ydNVQ6GQAoGAaWHV9u3bJ3y8cePGlM73+/3y+XzxsR/7WrO1vhzPMVgBgR0AAJh3AoHAhF3jppMY3iWjsbFx2s0pwuFw/EXdVN11sfu1qtgLtFzsSJqMbdu2qa2tTaFQSB6PZ9rpzOFwWH6/X9u3b9fmzZvju8F6vd7492nPnj3xF2XBYFDNzc0p7xobe6zoxJheLAQIh8Pq6upSIBC4qPOmtbU13v2aKPZ87uzsVHd3d/w6k820pliiTMe6z+dTXV2dWlpaLgpv/H6//H6/qqurTV0IX2K8zYRxlrqNGzde9EeQ9vb2tMZYMo//zp07438Amyzxe7Bnz54J59bX18vr9WZ97PMcgyUYAABL6O/vNyQZkoz+/v5clwPMWT09PfHnkhlvbrfbqK2tNVpaWoyenp4Z77+hoSF+3nRi129tbTXpKzdXfX29Icno6OjIdSmX1NPTY1RXVxuSjNra2gl1dnZ2Gq2trUZDQ4PhcrmM+vp6o7Oz86JrxL5X1dXVhmEYRkdHh+F2u42WlpaU66mtrbX042UVscc8m2+X+l5PJ9Ox3tjYaEgyfD6f0dPTY3R2dsa/zoaGhrSuORPG2/QYZ+mJ/cx0u91GQ0ODUV9fn1GtZv3+bWhoSPp3sFl4jsEKCOwAwCII7ID5weVyGZKMxsbGKY/p6OiIP9+t+mKgvb19xq/DClpbW436+vr44x57sVlfX5/UCzyfz2e43e548Nfe3p5WHcmEtLAmM8Z6a2trPECOhcTZfG4z3uaeuTbOYj9b8xXPMViBzTAMQwCAnBsYGFBZWZkkqb+/X6WlpTmuCECqAoFAfHHx6aYS+f3++Lp5PT09WVks2wwVFRWqrKxMeXpovol9330+nxobG3NdDtIwl8Y6423umkvjzO/3q6Ojw9S1F+cKnmOwCnaJBQAAMEniC5tbbrllyuNi6wy53W7LhnXS+G6DoVDoorWHMFFsTUMzdwDF7JpLY53xNnfNpXHW2dmpqqqqXJeREzzHYBUEdgAAACZJXFC8oqJCNpvtkm+xhb2tvvtcrAtw8u5+yQiHw/J4PKqrq1NNTc1Fi603Nzerrq4u/u91dXVz4kXsZOFwWIFAQA0NDZYOXzG9TMb6bGK8zW1zZZxJ4xvwWP13VDbwHIOVENgBAACYIBwOx3e28/l8MsbXCr7oLXEq1JYtW3JUbXLcbrcaGxvV1taW1I67ibZu3Sqfz6f29na53W7V1dXFd+StqamR2+1We3u72tvb1dHRIUmqqamZc6Fd7IX3dDsHw/oyGeuzifE2t82VcRYLrfJxh1SeY7ASAjsAAAATJHaQTfciJ9ZdJ0n19fVZrckMPp9PLpdLTU1NSZ8TDAbldrvldrslKf7e5/PJ4/Fo165dF33tHo9H0tzoPIkJh8Nqbm6OP0aY29IZ67OJ8TY/WH2cSePr182F309m4zkGqyGwAwAAMEEoFIrfnm4a0c6dOyXNrbVxfD6f/H7/hK9xOi0tLfGpX5LiXXN+v1+tra2XfCFUWVkpSUnfhxVs3bo13jGD+SHVsT6bGG/zh5XHWTgc1vbt27Vt27ZclzLreI7BagjsAAAATNDV1SVp+rAucbFxK3dXTNbQ0KD6+vp4F9xM9uzZE++qi30sjQd5iZ9PFHvhOtW/W00gEFBbW5taW1tzXQpMlOpYny2Mt/nFquNMGg+tamtr8279Op5jsCICOwAAABPE1iOaLnCK7SJbX18/Z4KpmNbW1vh0oZns2LEjfjsUCsUfm+m6ChN3zrW62IYaLS0tefeiNh+kMtZnA+NtfrLaOJPGl2wIBAITfobnA55jsKqCXBcAAAAwH8Smecamdk6W+MJsri5m3d7erpqaGlVXV0+7Tl/iC57Y2n4zvQiKHWf1jTik8fX2Nm/ePKemNSM1yY712cB4m7+sNM6k8TVEOzo68m79Np5jsCo67AAAAExQVVUlSVO+0EnceW4udJFditvt1q5du+TxeJLezTU2vWi6F6OxsM7lclm+u8Hr9crlcsW7JTE/pTPWs4HxNr9ZZZzFdHR0zNnfT+niOQYrI7ADAAAwQSyQik3/TBQKhdTc3Kzq6uo5v5h1dXW1Ojo6tHXr1qSOT6ZzLvZCafPmzZkXmEXNzc1yuVyscZQnUh3rZmO85Ydcj7N8xnMMVmczDMPIdREAAGlgYEBlZWWSpP7+fpWWlua4IgCpqqqqktvtjq/Hlvh5l8ulXbt25dVUo2AwqJqaGknSdP/ltNlsksa7O2IddrHgM58eLwAAgBg67AAAAEzS2tqqQCAQ3/E0HA6rrq4uPu0p38KnWHfddNNh/X6/pPGpYYnTYZuamtTd3Z3dAgEAACyKTScAAABMUl1drdbWVnk8nvjmEx6PJ28Xso51GtbV1U15TGwqktfrnfD5UCiUd2spAQAAxDAlFgAsgimxAOabS011nayqqkqhUGjCMU1NTaqrq7PErokAAAC5wJRYAAAAmC7ZnV/r6+vjx0lSW1ubpOmn0QIAAMx3TIkFAACA6SorK+VyubRt27Zpj/P5fAqHw/FpxHV1dfL5fLNUJQAAgDUxJRYALIIpsQAAAAAAiSmxAAAAAAAAgKUQ2AEAAACYE8bGxjQ6OprrMgAAyDoCOwAAAABzwqc//WktXrxYf/3Xf639+/fnuhwAALKGNewAwCJYww4AgKkdPnxYl19+uQzDkMPhUCQSUV1dnR544AHdc889cjgcuS4RAADT0GEHAAAAwPK+8Y1vyG4ff/kSiUQkSU888YQ+8pGPaP369fr7v/97dXV15bJEAABMQ4cdAFgEHXYAAFza8PCwVq5cqZ6enimPsdvtKigo0Kc+9Sn99V//tW644YZZrBAAAHPRYQcAAADA0lpbW6cN6yQpGo1qZGRE//Iv/6KPfOQjs1QZAADZQWAHAAAAwNK++tWvxqfDzsRms+ljH/tYlisCACC7CnJdAAAAAABMpaOjQx0dHUkfH4lE9KUvfSmLFQEAkH102AEAAACwrIcfflgFBcn1GTgcDr33ve/V1VdfneWqAADILgI7AAAAAJbU1dWlRx99VGNjY0kdH4lE9MADD2S5KgAAso/ADgAAAIAl/dM//VPSYZ0krVy5kg0nAADzAoEdAAAAAMuJRCJ66KGHFI1GkzrebrfrvvvuS3r6LAAAVkZgBwAAAMByfvnLX+rIkSNJH2+32/X5z38+ixUBADB7COwAAAAAWM7XvvY1ORyOpI4tKCjQli1btGzZsixXBQDA7KBfHAAAAICl7N+/X+3t7UkfPzY2pvvuuy+LFQEAMLvosAMAAABgKY888kjS3XV2u1033nijbrvttixXBQDA7CGwAwAAAGAZg4OD+ta3vqVIJJLU8dFoVF/5yldks9myXBkAALOHwA4AAACAZTz66KPq6+tL+viFCxfqE5/4RBYrAgBg9hHYAQAAALAEwzD04IMPJt0t53A41NDQoAULFmS5MgAAZhebTgAAAACwhGeffVavvvpq0sdHo1F94QtfyGJFAADkBh12AAAAACzh4YcfVkFBcj0FDodD99xzj9xud5arAgBg9hHYAQAAAMi5kydPqq2tTWNjY0kdH4lE9OUvfznLVQEAkBsEdgAAAABybseOHYpGo0kfv27dOn3gAx/IYkUAAOQOgR0AAACAnBobG9MjjzySdGBns9l0//33y27n5QwAYH7iNxwAAACAnPrJT36iU6dOJX280+nU5z73uSxWBABAbhHYAQAAAMipBx98UA6HI6ljCwoK9Kd/+qeqqKjIclUAAOROclswAQAAAEAWvPbaa3r66aeTPn5sbEz33XdfFisCACD36LADAAAAkDOPPPKICgqS6yOw2+269dZb9Y53vCO7RQEAkGMEdgAAAAByore3V9/5znc0NjaW1PHRaFQPPPBAlqsCACD3COwAAAAA5MS//Mu/aGhoKOnjFy9erPr6+ixWBACANRDYAQAAAJh1hmHowQcflGEYSR3vcDj0hS98QU6nM8uVAQCQewR2AAAAAGbdE088of379yd9vGEY8nq9WawIAADrILADAAAAMOseeughORyOpI4tKCjQvffeq8suuyzLVQEAYA3JbccEAAAAACY5cuSIfvrTnyY9HXZsbExf/vKXs1wVAADWQYcdAAAAgFnV0tIiuz25lyI2m01XXnml3vve92a3KAAALITADgAAAMCsGR4e1te//nVFIpGkz3nggQdks9myWBUAANZCYAcAAABg1rS1tamnpyfp4xcsWKA/+7M/y2JFAABYD4EdAAAAgFnz4IMPJj0d1uFw6LOf/azKy8uzXBUAANbCphMAAAAAZkUwGNTu3buTPj4Siei+++7LYkUAAFgTHXYAAAAAZsXDDz+sgoLkegYcDofuuusuXXPNNVmuCgAA6yGwAwAAAJB13d3d+v73v6+xsbGkjo9EIrr//vuzXBUAANZEYAcAAAAg6/7pn/4p6bBOklasWKGPfexjWawIAADrIrADAAAAkFXRaFQPPfSQotFoUsfb7Xbdd999SU+fBQBgviGwAwAAAJBVv/rVr3T48OGkj7fb7fr85z+fxYoAALA2AjsAAAAAWfXggw/K4XAkdWxBQYE8Ho+WL1+e5aoAALAueswBAAAAZE1nZ6fa29tlGEZSx4+Njem+++7LclUAAFgbHXYAAAAAsubrX/+67PbkXnbYbDbdcMMNuv3227NcFQAA1kZgBwAAACArBgcH9c1vflORSCSp4w3D0AMPPCCbzZblygAAsDYCOwAAAABZ8a//+q/q7e1N+viFCxfqk5/8ZBYrAgBgbiCwAwAAAGA6wzD04IMPJt0t53A4tHXrVpWUlGS5MgAArI9NJwAAAACY7ve//71eeeWVpI+PRqP6whe+kMWKAACYO+iwAwAAAGC6hx56SAUFyfUHOBwOvf/971dVVVWWqwIAYG4gsAMAAABgqlOnTqm1tVVjY2NJHR+JRHT//fdnuSoAAOYOAjsAAAAApvrmN7+paDSa9PFr167VPffck8WKAACYWwjsAAAAAJhmbGxMDz/8cNKBnd1u1/333y+7nZcmAADE8FsRAAAAgGl++tOf6uTJk0kfX1BQoM997nNZrAgAgLmHwA4AAACAab72ta/J4XAkdWxBQYE+/elPq7KyMstVAQAwtyS3bRMAAAAAzOD111/XU089lfTxY2Njuu+++7JYEQAAcxMddgAAAABM8cgjj6igILmeALvdro0bN6q6ujrLVQEAMPcQ2AEAAADIWF9fn77zne9obGwsqeOj0ageeOCBLFcFAMDcRGAHAAAAIGPf/e53df78+aSPr6ioUH19fRYrAgBg7iKwAwAAAJARwzD01a9+NenjHQ6HvvjFL6qoqCh7RQEAMIex6QQAAACAjPzmN7/Rvn37kj4+Go3K6/VmsSIAAOY2OuwAAAAAZOShhx5KerMJh8Ohj33sY1qzZk2WqwIAYO6iww4AAABA2o4ePaqf/OQnikajSR0fiUR0//33Z7kqAADmNjrsAAAAAKStpaVFNpst6eOvuOIKve9978tiRQAAzH0EdgAAAADSMjw8rK9//euKRCJJHW+z2XT//fenFPABAJCPCOwAAAAApOXf/u3f1N3dnfTxxcXF+sxnPpPFigAAmB8I7AAAAACk5cEHH5TdntxLioKCAn32s5/VwoULs1wVAABzH5tOAAAAAEjZCy+8oOeffz7p48fGxvSlL30pixUBADB/0GEHAAAAIGUPP/ywCgqS+/u/w+HQnXfeqeuuuy7LVQEAMD8Q2AEAAABISU9Pj77//e9rbGwsqeMjkYgeeOCBLFcFAMD8QWAHAAAAICXf/va3NTIykvTxy5cv17333pvFigAAmF8I7AAAAAAkLRqN6mtf+5oMw0jqeLvdri996UtJT58FAGC+erbzbNLHEtgBAAAASNrjjz+uQ4cOJX283W7X1q1bs1gRAADWdjx8Xl96NKhP7fhD0ufwZy4AAAAASXvooYfkcDgUiURmPLagoED19fVasWLFLFQGAIC1DI1G9M2nQ3rkyU6dH53592YiAjsAAAAASQmFQvrVr36V9HTYsbEx3XfffVmuCgAA69n1xin93c9e16GuwbTOJ7ADAAAAkJR//Md/lN1uT6q7zmaz6brrrtMdd9wxC5UBAGANB84O6L//7HU9sfd0RtchsAMAAACg3t5effKTn9Tdd9+tz33uc6qsrJzw7+fPn5ff708qrJMkwzD0wAMPyGazZaNcAAAspW9oVA8/sV//9MwBjUaS60SfDptOAAAAANDx48f1i1/8Qn/zN3+jlStX6i/+4i8UDAbj//6DH/xAvb29SV+vvLxcn/rUp7JRKgAAlhGNGmrdc0Tv+99PqeW3IVPCOonADgAAAICkioqK+O2RkRF997vfVU1NjTZu3Kjvfe97+upXvyq7PbmXDw6HQ5///OdVUlKSrXIBAMi54OEeffzrz+g/tb2ss/3Dpl7bZiS7YiwAIKsGBgZUVlYmServ71dpaWmOKwIA5JORkREVFRVd9Hm73a5oNJry9fbt26cNGzaYURoAAJZyqndIvl/u1Q9fOJbSedeuXKhfPHBnUseyhh0AAAAAOZ1OFRcXa2hoaMLnUw3rHA6H7r77bsI6AMC8MzwW0bd+d0APP7FfgyPJrekqSa6SQv3N+6/SJ29dm/Q5BHYAAAAAJEkLFy68KLBLVSQS0f33329SRQAA5J5hGGp//ZT+xy/e0KGuwaTPs9ukT966Vn/z/qtUUepM6T4J7AAAAABIklwul06fPp3RNdasWaMPfvCDJlUEAEBu7TvVp7/72et6et/ZlM67dX2l/utHr9O1qxamdb8EdgAAAAAkSYsXL87ofJvNJqfTqR/96Ee69957VVhYaFJlAADMrnODo/rqrrf0L88dUiSa/PYPq10L9J8/dI0+dMMK2Wy2tO+fwA4AAACAJGnp0qUZnW8Yhg4ePCiPx6Ply5frS1/6krZu3aoVK1aYVCEAANk1FonqX58/rH9of0s9g6NJn1dcaNdf3VUl73uqtMDpyLiO5PZlBwAAADDvVVZWqqAgs7/pRyLji3CfOnVK//W//letWbNGn/zkJ/Xcc8+ZUSIAAFnz9L4z+tDXntb/+5PXUgrrPnzjSu36j+/VV2qvNCWsk+iwAwAAAHBBRUVFRtN3JotGo4pGo9q5c6d+8IMf6NChQ1q7Nvkd8gAAmA2hM/36n794Q4E3UlvH9ZqVC/X//+i1eqc7syUlLoXADgAAAICk8cDOMJJfpydZhmHob//2b7VmzRrTrw0AQLrOnR/VQ7v26Z+fO6jRSPK//ypKCvU3H7hKn9i4Vg67eX/oSkRgBwAAAEDSeGAXm9JqBrvdLpvNpm9+85v67Gc/a9p1AQDIxFgkqh/sPqJ/aH9L3QMjSZ/nsNv0Z+9cp/9Qe6UWlWR3YyUCOwAAAACSzO2wczgcWrBggX7yk5/o7rvvNuWaAABk6pn9Z/V3//663jzVl9J5796wRP/lo9fqyuXlWapsIgI7AAAAAJLGAzszOBwOrVy5Ur/+9a91zTXXmHJNAAAyceDsgP7Hz99Q4I1TKZ23fkmp/vZD12jTNctMXed1JgR2AAAAACSZE9jZ7XbdfPPN+vnPf65ly5aZUBUAAOk7d35Ujzy5X99+5kBK69SVFxfogU1X6DO3Xy5ngT2LFV4agR0AAAAASeYEdh//+Mf13e9+VwsWLDChIgAA0jMWiepfnz+s/xvYl9I6dXab9Mlb1+qv667U4rKiLFY4PQI7AAAAAJIyD+waGxu1fft22e2z34kAAIA0vjP5b948o//xize0/3R/Sue+a8Ni/b8fuVZXr1iYpeqSR2AHAAAAQFJ6gV0snPvGN76hrVu3ml0SAABJ23uyV//j52/o6X1nUzrv8sUl+tsPX6vaWV6nbjoEdgAAAAAkSU6nU8XFxRoaGkrqeIfDoeLiYv3oRz9SXV1dlqsDAODSTvcN6f+2v6Wdu48omsJm5+VFBbp/0xX6zB3rVFTgyF6BaSCwAwAAABC3aNGipAI7h8Oh5cuX6/HHH9f1118/C5UBADDR0GhE3/rdAX39yf0aGIkkfZ7dJn3iwjp1S3K4Tt10COwAAAAAxLlcLp06dWraY+x2u2644Qb94he/0MqVK2epMgAAxkWjhv795ePy/XKvjp9Lris85nb3Yv2Xj16ra1bmfp266RDYAQAAAIhbsmSJ3nzzzSn/3Waz6SMf+YgeffRRlZaWzmJlAABIew5267///A29dCSc0nnuJaX6zx+6RpsstE7ddAjsAAAAAMQtWbJk2n//yle+or//+7+Xw2GttX4AAHObYRg633VeI/0jcpY5tWDxggnB2uGuQfl+tVc/f+VEStddtKBQX6m9Qn/6znUqdMydXcwJ7AAAAADEVVRUqKCgQGNjY/HPxV4wPfzww/riF7+Yq9IAAPPQUHhIL/7zi3r+oefV09kT/3xFVYVu/fKtWu+5VjuCR/XPzx3UaCT5HSUKHTZ95vbL9eW7N8hV4sxG6VlFYAcAAAAgrqKiYkJHg8PhkNPpVFtbmz70oQ/lsDIAwHyz//H9euxPHtPo4OhF/9YT6tHj/+Fxjf2ndu36oyqNuhclfd0PXLdc/88Hr9H6JXN36QYCOwAAAABxFRUVMozxDgaHw6ElS5bo8ccf10033ZTjygAA88n+x/fr0Q8/Ov4751KNcxc+Zx+Nqq5tn9rrr9DxGUK761cv1P/vw9fqne7F5hc8y+bO5F0AAAAAWVdRUaGxsTE5HA5de+216ujoIKwDAJhqKDykx/7ksfGwLjr9sXZJMqS7f9wp59DYJY9ZvrBI/8dzk376pXfPi7BOkmxG7M9nAICcCV3+fhmjYxoZHpYkOYuKclwRACBf/ez8KX2l53XdVVSpr1Vcp1I7k3IAAOba279ae3qrJCW/W6sh6Q+b1uiNW5bHP7eg0CHvXW41vMetEuf8+n01v74aAJijjNExaWRUTtuFxueRi9dwAABgNtTZXfpa+dX6gHOxHGOGJH4nAQDMYxjS3v5VaZ17bcdpvVGzTDa7TX9882X6Tx+4SisWFZtcoTUQ2AEAAACIK7LZ9aGiJbkuAwAwTw0bheqPlqR8nk3SwvCw3rNykZo236jrViW/CcVcRGAHAAAAAACAWTFmODI6/8F7r1fFPA/rJDadAAAAAAAAwCwpsEUyOr9oYX6s901gBwAAAAAAgFlRZBtVmX1Q49tIpMAmVVRVaEHlgqzUZTVMiQUAC7AVFsiQ2CUWAAAAwPxgSBHDUCR6cTC3oeSYXuzfkPIlb7v/Ntlsye8sO5fZDMNIMdIEAGTDwMCAysrKJEn9/f0qLS3NcUUAAAAAkJrw4IgeeXK//vnZQxqJRC95jHNoTJu//rIco9Gkpn7a7DYVLCjQXx/9axW75ueusJPRYQcAAAAAAICMDI1G9J1nD+rrT+5X79DYtMeOFBfoiT+qUl3bPkWNGdZrs0uySVt+uCVvwjqJDjsAsAw67AAAAADMNZGooR+9cEz/8Os3dfzcUErn3nDqvDbufFNGLOBLTKguzHwtLCnUlh9uUdX7q8wpeI6gww4AAAAAAAApMQxDT711Rv/rl3u192RfSueWFxfoS+/boM/ecbn0f0f10r+8pD987Q/q6eyJH1PhrtBt99+mm/78JhUvyp/Ouhg67ADAIuiwAwAAADAXvHgkLN8v9+q5UFdK5zkddn3m9nX60vs2qKLUOeHfDMPQ+e7zGukbkbPcqQWVC/Jmg4lLocMOAAAAAAAAM+o806///fib+uWrJ1M+9+M3r9Zf112pNZUll/x3m82mksUlKll86X/PNwR2AAAAAAAAmNLJc0N6cNdbemzPUUWiqU3UvPOKJWq652pdv3pRlqqbnwjsAAAAAAAAcJFzg6P6x6c69e1nDmh4LJrSudeuXKj/54NX6z1XLs1SdfMbgR0AAAAAAADihkYj+s6zB/X1J/erN7aDa5JWuxbobz5wpe69abXs9vxdgy5TBHYAAAAAAADQWCSq1o6j+mrgLZ3qHU7p3EULCnXf+zboz25fp+JCR5YqzB8EdgAAAAAAAHnMMAz96tWT+vtfv6nQmYGUzi0qsOtz71qvL9xVpUUlhVmqMP8Q2AEAAAAAAOSpZzvPyverN/XSkXBK5znsNm2+5TI9sOlKrVhUnJ3i8hiBHQAAAAAAQJ556UhYf//4m/rd/rMpn/vB61fobz5wlaqWlmWhMkgEdgAAAAAAAHlj36k+/e9fv6nHXzuV8rm3uxer6YNX6x1rXOYXhgkI7AAAAAAAAOa5I92D+r+Bt/TjF44paqR27rUrF6rpg1frPVcskc3Gzq+zgcAOAAAAAABgnjrdN6RHntivR58/rNFIaknd2soS/cf3X6mP3rhKdjtB3WwisAMAAAAAAJhnzg2OquW3nfr2Mwd1fjSS0rlLypy6f9MV+sTGtXIW2LNUIaZDYAcAGYhEIhoZGdHo6KhGRkZSvr127Vrdcccduf4yAAAAAMwTgyNj+vYzB9XyVKd6h8ZSOresqEAN73HrL9+9XqVFREa5xKMPAJfw8ssv6y//8i81ODh4ycAt9nE0Gs3ofq699lq99tprJlUNAAAAIF+NjEX1r88f1kNP7NfZ/uGUzi0qsOvP77hcX7irShWlzixViFQQ2AHAJbz88svas2eP7rvvPpWUlKiwsFBOp1NOpzOp28keV1xcnOsvFQAAAMAcNhaJ6ofBY3pw1z4dC59P6dwCu02bN67R/XdfoRWLeG1iJQR2AHAJhYWFkqT/+T//p8rLy3NcDQAAAABMFI0a+veXj+urgX06cHYgpXNtNuljN63Sf6i9UpcvKc1ShcgEgR0AXILTOd4GPjIykuNKAAAAAOBthmHo8ddO6f+2v6U3T/WlfH7tNcv0H99/la5ZuTAL1cEsBHYAcAmxwG50dDTHlQAAAADAeFD3m7fO6B9+/ZZeOXYu5fNvW1+pxnuuUs26yixUB7MR2AHAJcSmxNJhBwAAACDXnu08q//z67fUcagn5XNvWL1I/+kDV+nOK5bIZrNloTpkA4EdAFwCU2IBAAAA5FrHoR79Q/ubemZ/V8rnVi0t1d+8/yrdc/0Kgro5iMAOAC6BKbEAAAAAcuXVY+f0D+1v6Ym9p1M+d03lAj2w6Ur90TtWqcBhz0J1mA0EdgBwCUyJBQAAADDb9p7s1YOBffrlqydTPnfFwmJ9edMGeWrWyFlAUDfXEdgBwCUwJRYAAADAbNl3qk9f3bVPP3/5RMrnLilz6ovv3aBP3bZWxYWOLFSHXCCwA4BLYEosAAAAgGzrPNOvr+3ap5++dFyGkdq5ixYUynuXW5+943KVOIl35hu+owBwCXTYAQAAAMiWg2cH9LUn9unHLxxTNMWgrqyoQH/57vX6yzvXa2FxYXYKRM4R2AHAJbCGHQAAAACzHe4a1ENP7NMPXzimSIpJXXGhXZ+9Y72873GrotSZpQphFQR2AHAJTIkFAAAAYJajPYN65Mn9at1zVGMpBnVOh12fum2tvvi+Ki0rL85ShbAaAjsAuASmxAIAAADI1PHweT3y5H49tueIRiOpBXUFdps8t6zRl+/eoFWuBVmqEFZFYAcAl8CUWAAAAADpOnHuvP7xN536wfNHNBKJpnSuw25TffVluu/uDVpTWZKlCmF1BHYAcAlMiQUAAACQquPh8aBu5+7Ugzq7Tfrj6sv05bs3aN3i0ixViLmCwA4ALoEOOwAAAADJOh4+r6//Zr8e2300raDu3nes1pfv3iD30rIsVYi5hsAOAC7BbrfL4XAQ2AEAAACY0rHweX09zTXqbDbpozeu0v2brtCGZQR1mIjADgCm4HQ6CewAAAAAXORoz6C+/ptOtaYR1EnSh29YqQdqr9CVy8uzUB3mAwI7AJiC0+lkDTsAAAAAcUd7BvXIk51q60gvqPvAdcv1ldordc3KhVmoDvMJgR0ATKGwsJAOOwAAAAA60j2or/9mv1r3HNVYNPWgrvaa5fpK7RW6fvWiLFSH+YjADgCmwJRYAAAAIL8d6hrQP/6mU20d6QV1ddcu1wObCOqQOgI7AJgCU2IBAACA/NR5pl+PPLFfP3npuCJpBHXvv3a57ieoQwYI7ABgCkyJBQAAAPLLmyf79NAT+/TzV07ISD2n0z3XrdCXN23QdasI6pAZAjsAmAJTYgEAAID88Oqxc3r4if361Wsn0zr/g9ev0P2brmAzCZiGwA4ApsCUWAAAAGB+e/FIWA/t2qdde0+ndf6HblihL99NUAfzEdgBwBSYEgsAAADMT7sPdutru/bp6X1nUz7XZpM+dP1KfXnTBl29gqAO2UFgBwBTYEosAAAAMH8YhqHnOrv0tSf26feh7pTPt9mkD9+wUl+++wpdtaI8CxUCbyOwA4ApMCUWAAAAmPsMw9Bv3jyjh5/cr45DPSmf77DbdO9Nq/TF923QhmVlWagQuBiBHQBMgSmxAAAAwNwViRr61asn9ciT+/X6id6Uzy+w2/Qn1Zfpi++r0rrFpVmoEJgagR0ATIEpsQAAAMDcMxqJ6scvHNM/PtWp0JmBlM93OuzavPEy/dVdVbqsoiQLFQIzI7ADgCk4nU4NDKT+Cx4AAADA7Bsajah1zxF946mQjoXPp3x+UYFdn7x1rf7qriqtWFSchQqB5BHYAcAUnE6nenpSX+MCAAAAwOzpHx7T939/SDuePqCz/cMpn7+g0KE/u32dPn/nei0rJ6iDNRDYAcAUWMMOAAAAsK7w4Ii+/cxBfefZgzp3PvXN4sqKCvTnd6zTX77brcpSZxYqBNJHYAcAU2CXWAAAAMB6TvcN6VtPH9D3fn9IAyORlM9ftKBQn3vX5frcHeu1qKQwCxUCmSOwA4ApsOkEAAAAYB2Hugbk/21IrR1HNTIWTfn8peVF2nrnen3qtnUqKyIOgbUxQgFgCkyJBQAAAHLvtePn9I2nQvr5y8cVNVI/f7Vrgf7qvVXy1Fym4kKH+QUCWUBgBwBTYEosAAAAkBuGYej5A936x6c69Zs3z6R1DffSUn3xvRt07ztWqdBhN7lCILsI7ABgCkyJBQAAAGZXNGpo197T+sff7FfwcDita1y3aqG+9L4N+sB1K+Sw28wtEJglBHYAMAWmxAIAAACzYzQS1b+/dFzfeKpTb53qT+sat6yr0Jfu3qD3XrlUNhtBHeY2AjsAmAJTYgEAAIDsOj8S0c7dh7Xj6QM6Fj6f1jXuvGKJvvS+DbptfSVBHeYNAjsAmAJTYgEAAIDsCA+O6LvPHdK3nz2o7oHU/89ts0n3XLdCf3VXlW5a4zK/QCDHCOwAYApMiQUAAADMdbRnUN/63QHt3H1EgyORlM8vdNj08ZtXy3tXlaqWlmWhQsAaCOwAYAp02AEAAADmeP14r/y/7dS/v3xCkaiR8vklToc+deta/eWd67Vy0YIsVAhYC4EdAEzB6XQqEokoGo3KbmcbeAAAACAVhmHo2c4ufeOpTj2972xa16goKdRn71ivP79jnVwlTpMrBKyLwA4AplBYWChJGh0dVVFRUY6rAQAAAOaGsUhUv3z1pFp+26lXj/WmdY1Vi4q19T1ubdm4RiVOogvkH0Y9AEzB6Rz/C97IyAiBHQAAADCD8yMRtXYc0Y6nQzrSnd6OrxuWlemv7qrSx25aJWcBs1yQvwjsAGAKscBudHQ0x5UAAAAA1tU9MKJ/ee6g/vnZg+oZTO//zu9Y49IX3lulumuWy263mVwhMPcQ2AHAFGJTYtl4AgAAALjYgbMD+tbvQmrrOKqh0Wha17j76mXyvsetW9dXymYjqANiCOwAYAqJU2IBAAAAjG8k0XGoR/7fhtT+xikZqW/4qkKHTfe+Y7Ua3uPWlcvLzS8SmAcI7ABgCkyJBQAAAMaNRaJ6/LVT2vF0SC8eCad1jbKiAn3qtrX63Lsu18pFC8wtEJhnCOwAYApMiQUAAEC+Gxge02N7juifnjmQ9kYSS8uL9BfvWq9P3bZWixYUmlwhMD8R2AHAFJgSCwAAgHx1undI33n2oL73+0PqHRpL6xrupaXyvsetP7p5tYoKHCZXCMxvBHYAMAWmxAIAACDf7D3Zq28+fUA/efGYRiNpLFAnqWZdhbzvcauWHV+BtBHYAcAU6LADAABAPjAMQ7/dd1bf+t0B/fatM2ldw2aT6q5Zrob3uHXL5ZUmVwjkHwI7AJgCa9gBAABgPhsajehHLxzTP/3ugPad7k/rGsWFdnlq1ugv3r1e65eUmlwhkL8I7ABgCkyJBQAAwHx0um9I33vukL73h8PqHkjvj9NLypz689sv16ffuU6VpU6TKwRAYAcAU2BKLAAAAOaT14/36lu/O6B/f+m4RiLRtK6xYVmZtt65Xve+Y7WKC9lIAsgWAjsAmAJTYgEAADDXRaOGnth7Wt/63QE9F+pK+zq3uxer4T1u3XXlUjaSAGYBgR0ATIEpsQAAAJirBkfG9G8dR/XtZw4qdHYgrWs47DZ95MaV2nqnW9evXmRyhQCmQ2AHAFNgSiwAAADmmuPh8/qX5w7pX58/rHPn0/vDc3lRgT5x6xp99l3rtdq1wOQKASSDwA4ApsCUWAAAAMwFhmGo41CPvv3MQf3qtZOKRI20rrOmcoE+d8d6bd64RmVFxAVALvEMBIAp2O12ORwOpsQCAADAkobHIvrZSyf0nWcP6pVj59K+zq2XV+ov3r1eddcul4P16QBLILADgGk4nU467AAAAGApp/uG9P3fH9b3/3BYZ/uH07pGwYX16f7y3W7dcBnr0wFWQ2AHANMoLCwksAMAAIAlvHw0rG8/c1A/e/m4RiPpTXtdtKBQn7ptrf789su1YlGxyRUCMAuBHQBMgw47AAAA5NJoJKrHXzupbz9zUB2HetK+jntJqT737vX6k+rVKnESBQBWx7MUAKbhdDpZww4AAACzrntgRP/6/GF97/eHdOLcUNrXuaNqsT5/53q998plsrM+HTBnENgBwDSYEgsAAIDZ9MrRc/rOswf17y8f18hYNK1rFBXY9fGbV+uz77pcV69YaHKFAGYDgR0ATIMpsQAAAMi2kbGofvHKCf3zcwf1wuFw2tdZuahYf3b7On1y41pVlDrNKxDArCOwA4BpMCUWAAAA2XKqd0jf//0hPfr8kbR3e5WkmnUV+ty7LtcHrluhQofdxAoB5AqBHQBMgymxAAAAMJNhGNp9sEf//NxBPf7qSY1F09vttdBh00dvXKXPvuty3XiZy9wiAeQcgR0ATIMpsQAAADDD+ZGIfvLiMf3zc4f0xonetK+zpMypT9+2Tp9+51otKy82sUIAVkJgBwDTYEosAAAAMnGoa0Df/8Nh7dx9ROfOp///yutXL9Tn7livj9y0UkUFDhMrBGBFBHYAMA2mxAIAACBVkaihJ/ee1nd/f0hPvXUm7esU2G360A0r9ed3rFP12grZbDYTqwRgZQR2syQcDmvTpk1qbW2V2+3OdTkAksSUWAAAACTrbP+wdu4+okf/cFjHwufTvs7S8iJ9+ra1+tSta7VsIdNegXxEYJdF4XBYe/bsUXt7u5qbm+OfAzB3MCUWAAAA0zEMQx2HevTd3x/SL145odFIeptISNIt6yr053eM7/bqLGC3VyCfEdhlSUVFhSorK1VbWyuPx6NgMKhAIJDrsgCkyOl0amBgINdlAAAAwGIGhsf04xeP6bvPHdLek31pX6eowK5737FKn7n9cl2/epGJFQKYywjssqSnp2fCxz6fL0eVAMgEa9gBAAAg0b5Tffre7w/p34LH1D88lvZ1LqtYoD975zptvmWNKkqdJlYIYD4gsAOAaTAlFgAAACNjUT3+2kl9/w+H9PtQd0bXuvOKJfrM7Zfr7quXyWFnEwkAl0ZgB9OEQiF5vV61trbK5XLlupy8EVsfsbGxMceVzE9sOgEAAJC/DncN6tHnD6ut44jO9qf/f8Ly4gJ5atbo0+9cq6qlZSZWCGC+IrCDKUKhkOrq6gjrcqCxsVEej0der1ctLS25LmfeYUosAABAfhmLRBV447Qeff6wfvvWmYyudd2qhfrM7ev00ZtWqcTJy28AyWPbGWQsHA6rpqZGPp9P1dXVGV8vGAzK6/WqoqJCNptNVVVV8vv9JlQ6f7W2tmrPnj1qamrKdSnzDlNiAQAA8sOx8Hn9w6/f1Lt8T+ivvteRdljnLLDrj6tX60dfvEM/+/K7tWXjWsI6ACnjpwYytmnTJjU0NKi+vj7ja3m9Xvn9ftXX12vXrl1yu93y+/3yer1qb29Xa2urCRWbo62tTR6Px5Rrud1uud1ueTwebd68Oa0uxV27dmn9+vXauHGjKd8LjGNKLAAAwPwViRp66q3T+v7vD+vJN08raqR/rTWVC/Snt62T55Y1qmQTCQAZIrBDRrxeryRzdsGtqalRMBiUz+ebsB5bY2OjOjs75ff75ff71dDQkPF9maG6ujr+dXd1damtrU2hUGjCMQ0NDaqqqpryGl1dXQqFQgoEAvH3Xq9XDQ0N8vl8KQV3LpdLO3bskMfjUUdHhyndjmBKLAAAwHx0undIO3cf0Q92H9Gx8Pm0r2OzSXdftUx/evs63XXFUtnZRAKASWyGYWTwNwQkq66uToFAYF4FKbEOMzO+ptjj09DQcMl12AKBgOrq6uR2u9XZ2ZnRfWVLrMaYqb6W6c5vampSMBiUNB7A7dq1K+XH1uPxKBgMWvZxmmv+23/7b9qxY4eOHj2a9fsaGBhQWdn4IsT9/f0qLS3N+n0CAADki0jU0G/3ndEPnj+swBunFcmgna6y1KktG9foU7eu1ZrKEhOrBIBxrGGHtG3dulX19fUZh3Ver1eBQEBut3vKgOuWW26RNL65xeQuNquIBW0xqU6Xra2tVUdHR7y7MLY24OTrzsTn8ykUCsV3j0VmmBILAAAwtx0Pn9dXA2/pPc1P6nPf3q3HXzuVdlh32/pKfe2TN+u5bXer6Z6rCesAZA1TYpGW5uZmhcNh7dixI6PrxKa5Spq2Gy1xamhbW9uEKbNW0d7ePuHj2tratK7j8/kUDofjj4vH40mpW87tdquhoUFNTU1qaGhg194MMSUWAABg7hmLRPXE3tP6we4j+k2Ga9MtWlCoP6m+TJ+6bY02LCs3r0gAmAYddkhZOBxWU1OT6uvrMwqDwuFwfA282trapAOunTt3pn2f2bRnz5747Uy7DltaWuKPbSgUij9OyYrtFsuusZljl1gAAIC540j3oP7+8b264389oYbvduiJvemHddVrXfo/npv0h/+8Sf/lo9cS1gGYVQR2SNn27dslSdu2bcvoOolTRpPZtCIWYIXD4YzuNxuCweCEutLtrkuU+Jj4/f6Uvm63263a2tqUz8PFmBILAABgbSNjUf385RP6s2/9QXc2P6lHnuzU6b7htK5VVlSgP3vnOv3ygTv1wy++S39Sc5mKCx0mVwwAMyOwQ8r8fr/cbndGXWSBQECBQEDSeLiVzLViwVN3d3fa95stsa8lJnHziXRt3rx5wsexKbLJinXlPfbYYxnXks8KCws1NjamaDSa61IAAACQoPNMv7b/4g3dvn2XvvRoUE/vO5v2tW5YvUj/649v0B/+8yb99z+6XtesXGhipQCQOtawQ0oCgYDC4bAaGhoyuk7iVM1Up21asWPMrPXrErlcLrnd7vgmG+3t7Smt3VdfXy9pfHptpt+vfOZ0OiVJo6OjKioqynE1AAAA+W1geEw/f+WEHtt9RHsO9WR0rRKnQx+7aZU+ddta3XiZy5wCAcAkBHZISWxjiC1btqR9jUAgEN/51OVyJRVuWXVn2JjEDrtM169LlLhG4OQuvmTU1tYqEAgoFArJ7XabVlc+IbADAADILcMwFDwcVuueI/r3l45rYCSS0fVuumyRPnHrWn30plUqK+IlMQBr4qcTUtLW1iYps1AqcW22ZDu/YgGfFU2uzYzuuhi32z3h+qkGb3V1dQoEAmppaUlqnUBcrLCwUJJYxw4AAGCWne0f1o+Cx/TYniPad7o/o2uVFxXoj25erU/cukbXrVpkUoUAkD0Edkha4ppz6QoGgxM6xZLt1Nu9e3f8ttU6xbKxft1UUp0OXF9fr6amprS68zAu1mFHYAcAAJB9kaih3751Rjt3H1HgjVMaS3eL1wtuWVehT9y6Vh++YaUWONk8AsDcQWA3DwSDQbW0tGjPnj0KhUIKh8PxXUKbmppMC7hinV6ZdNfFptRK49M9k71WYpdZ4jRRK8jG+nUxkwO6VDfciH3vrdyhaHWJU2IBAACQHYe7BvXYniNq6ziqk71DGV3LVVKoP775Mn3y1jW6Ynm5SRUCwOxil9hZEAqFtGfPHknSzp07TbtuIBBQVVWVampqFAqF5PP5dODAAfX09KilpSX+76lu6jCVWDC1cePGtK+RuGNpKsFW7PGTrN1hZ+b6ddLFa/el87UT2mWGKbEAAADZMTA8praOo9rS8pze8/dP6uEn92cU1t3uXqwHP/EO/X7bJv2Xj15LWAdgTqPDLkvq6uriIVNil1Rzc7Oam5vjXWKtra1pdWR5vV75/X65XC51dHRcFBTV1taqs7NTVVVVam5uVjgcntDdNllbW5uqq6unDYRiwVS6oVQwGJzwWCQ7HTbWNRiTSWBotmyuXyddHNhVVlamfI3q6mqFQiEFAgHTA8V8wJRYAAAA8xiGoecPdKut46h+/soJDWa4gcSy8iLV11wmzy1rtH5JqUlVAkDuEdhlyeRpkmaqqalRMBiU2+1We3v7tCFba2urampq5Pf75fF4pgyUtm7dql27dk15ncTALN0Ot8mBYbLh1uT116wUOmVz/bpL7YybznTg2Pers7Mz05LyElNiAQAAMne0Z1A/DB5TW8dRHe4ezOhaBXab7r56mbZsXKO7rlyqAgcTxwDMPwR2c0wsrJM0Y1gnKd41FwqF1NTUpI6OjouOSWZtulh4lMn6cZPDrYqKirSuc8stt6Rdg9myuX7d5Mcr3aC0qqpK0qUDQMyMKbEAAADpOT8S0a9eO6G2jqN6trNLRmb7R8i9tFRbblmjP66+TEvLi8wpEgAsisBuDvF4PPFwzefzJR3g1NbWyu/3x3donRwq7dy5U5s3b572GrGwJ50pmdJ4h15iYFRdXZ3UlNiuri41NzfHP3a73ZbadCKb69dNDlfTDQNj37O5EthFo1GNjIxodHRUIyMj8bfEj1O9ncn5vb29kqQzZ87k+JEBAACwPsMwFDzco9Y9R/Wzl0+of3gso+uVOB36yI0rtWXjGlWvrZDNZjOpUgCwNgK7OcLv96utrU3SeGjV2NiY9LmxDitpfFrq5ODH7/ertbV12mvEdidNNyxL3DRCkrZt26b6+voZzwuFQhMCu2TOmS3ZXr8ucYMOaTywTUfse5ZuYNfR0aHnn39+1gKzSCSzdUxiCgoKVFhYKKfTKafTGb99qc8l3i4rK5vw+cHBQe3du1d2O1MtAAAApnIsfF4/fuGY/q3jqEJnBzK+XvVal7ZsXKMP37hKZUW8bAWQf/jJNweEw+EJO72muutrYife5JCpra1NlZWVM4ZNiWvYpWPy/SbbjTZ5WmiyG1XMhmyuXzd5gw6Xy5Vxh126mpub9cMf/nDasGuqfysvL58xIJvp3woLC1VYWKiioqKkrhU73qyA7fDhw3r00UcJ7AAAACbpHx7TL185oR8Gj+m5UFfG11tSVqSP37xKWzau0YZl7PAKIL8R2M0B27dvj4c3LpdLDQ0NKZ2fGNhN7rLavn17SgFguuHP7t2747ddLlfS03kT14hzuVyW2nAim+vX7dy5c8LHM01Znk6mU4gn15JvWMMOAADgbZGooWf2n9UPg0f1q9dOamg0mtH1Ch021V6zXPU1l+k9Vy5VIRtIAIAkAruMZWMNBWPSaqyJU0LTCYWmCmwCgYBCoVBSAWBXV9e015pJYlCYyqYRiV1sqQaV2ZbN9ev8fv+Ej30+n6nXR/LYJRYAAEB682Sffhg8qh+/eEyneoczvt51qxbKU3OZPvaO1aosdZpQIQDMLwR2FpfNKaFNTU3atm1bUscuXrxYUvpTYxPPS3bqaCAQmHCe1+tN676zIZvr17W1tU34uhsbGy210Ua+iQV2dNgBAIB8c6ZvWD996bh+GDyq1473Zny9ylKn/ugdq1Vfc5muXbXQhAoBYP4isMvQ5G44s03eDMKsYCgWCqWyeYX09uYTqUo8L9nwKfFrr62tTXoa7WzI5vp1k6coJxuqTiXT9QfzHVNiAQBAPjk/ElHgjVP60QvH9NRbZxSJZvZ6p8Bu0/uuXqb6msv0vquWyVnAlFcASAaBncUl7q7qdrtN6bQKhULaunXrjDvDJsr0fhNDo2SDt8RdUq02JTRb69f5/f4J04dbWloyfuwz3eE338UCO6bEAgCA+SoSNfRcZ5d+/OIx/erVk+ofHsv4mlevKFd9zWX6o5tXa0lZkQlVAkB+IbCzuMTwxqx10rxer2pra1MKmWKbTZjRrZVMYOf3++P3VV1dbanNJqTsrF83eTfg+vp6U9btiz2Ome4Wm68cDoccDgcddgAAYF4xDEOvn+jVj184pp+8eFyn+zJfl25JmVP3vmO1/qSaKa8AkCkCO4tLpzNtJqFQSJ2dnSmdE7vvdKfEulyulIKjxI46q3XXZWv9Oo/HE3+M3G53Sh2Q04l9z6w0pXiuKSwsJLADAADzwtGeQf3kxeP68QvHtO90f8bXcxbY9f5rl+tPqi/TnVcsUQG7vAKAKQjsLM7tdse77Kqqqky5ZjpBUCzsSbfDrrKyMn7uTFMzY7vXSuNdZmZu6GCGbKxf19TUFL+uy+W6aMptJhJDQKTH6XQyJRYAAMxZ5wZH9fNXTujHLx7T8wfS+wP8ZBsvr9CfVF+mD96wUosWFJpyTQDA2wjsLC4xsDNrSmM6wU1iyBYKhVK+Rm1trfx+f1LHxjrqXC6XduzYkdL9zAaz169rbm5Wc3OzpPHvTUdHh6nrze3evVuSeYFvPnI6nXTYAQCAOWVoNKIn957Wj188pif3ntFIJJrxNddWluiPq1fr4zev1rrFpSZUCQCYCoGdxVVXV8c7rxLXs0uFWbuE1tbWKhAIKBgMphzY1dTUJHVcIBCIf70+ny+t4Kq5uVk7d+7ULbfckvY1ZqoxJtP16zwej9ra2uLX2rVrl+n1xsaN1dYBnEuYEgsAAOaCsUhUv9t/Vj996bh+/dopUzaPKC8u0EduXKU/qV6tmnUVstlsJlQKAJgJgZ3Feb3eePdVrFMqFYFAQB6PZ8Lnuru70wqF6urqJkxXTUViF9p0HXper1eS1NDQkNaGC36/P75xQzAYVCAQSHm9vumYtX5dIBCQ1+uNP5aNjY1ZW6svVrPVphbPJXTYAQAAq4pGDXUc7tFPXzyuX7xyQl0Dmf+fpdBh0/uuWqaP37xa77t6mYoLHSZUCgBIBSuCWpzb7VZjY6MkxTuxkuX1euX1etXR0aH6+vr45yd33DU1NSV17ViHVjrBodvtjp8/OfRKrDcUCqm2tlYtLS0p34d08XTVUCh00Zpzmdi+ffuEjzdu3JjS+X6/X1VVVaqrq4t/rZ2dnVkL6+iuMwdr2AEAACsxDEOvHT+n7b98Q3c2PynPN57Td39/KOOw7tbLK/U/P36Ddv9trfyfuUUfvGElYR0A5AgddnPAtm3b1NbWplAoJI/HM+2mEeFwWH6/X9u3b9fmzZvj3WVerzceyu3Zs2dCeNbc3JxUF1qsQyvdAMzn86murk4tLS0TAkRpPMjy+/2qrq7OaMOFjRs3XhQ+tre3p9VdFgv7wuGwurq64tOBE+3cuVOhUOiSHYuxYLSzs1N79uyZcG59fb28Xm/Wu95i3yu66zLDlFgAAGAFB88O6KcvHddPXjymzjMDplxzw7Iyffzm1frYTau0prLElGsCADJnMwzDyHURmFk4HNamTZsUDAZVW1srn88XD91CoZCCwaDa29v12GOPxf998rRTr9cbD8U6OjoUDAbl8XjU1NSU9PTT2JprHR0daXVtNTU1qbm5WT6fTw0NDeru7pbP55Pf71dDQ0PanXWJvF6vHnvsMVVWVqq2tlbd3d1p7YwbqzVTbrc7/lZTU6PNmzebvk7dVGLTmNP9fmHczTffrDvuuEOPPPJIVu9nYGBAZWVlkqT+/n6VlrKYMwAA+e54+Lx+8coJ/fSl43r56DlTrrmsvEj3vmOV7n3Hal23aiHr0gGABRHYzTFtbW3auXNnvPPL5XKpsrJS1dXVqqurmzEMam5uVktLS3w6ZlNTU0rdV4FAQHV1dRmtudbW1qbt27crGAzK5XKptrZW27Zty0qgFHu80gns5gObzSa3223qOn756LbbbtNNN92U9E7H6SKwAwAAknS6d0g/f+WEfvbyCXUc6jHlmqVOh+65fqU+fvNq3V61WA47IR0AWBmBHVJWUVGhysrKOREC+f1+dXR0mNK5N9fEwlWfzxdfBxHpefe7360NGzboO9/5Tlbvh8AOAID8dbZ/WL989aR+9tJxPX+wW2a8SnM67HrvVUt17ztW6+6rl2mBk/XoAGCuYA07k4TDYW3dulXhcDg+zTOxc625uTm+Nlt3d7cqKysnTGudSxoaGtTc3KxgMGj5+js7O1VVVZXrMnIi1gGZzm67mIhdYgEAQDaEB0f0q1dP6mcvn9CznWcVNSGks9ukd21Yoo/etEofuG6FFi0ozPyiAIBZR2Bnkq1bt8bXjfN4PKqrq4t3oHk8Hm3btm3CZgp1dXWqqamZk2uLeb1eNTc3a/v27ZafahoMBtXU1JTrMmZdOBxWIBBQQ0PDrK2XN5+xSywAADBL79Cofv3aKf3s5eP63b6zGjMjpZNUvdalj920Sh+6caWWlRebck0AQO4Q2JkgGAzGNxWQFH/v8/m0Z88e7dq166LQxOPxKBAIzInQazK3263GxkY1NzfH19Gzolholcmus3PV9u3bJSntdQYxEbvEAgCATJw7P6rA66f0y1dP6LdvndVIJGrKda9eUa6P3rSKHV4BYB4isDNBS0vLhC6uYDAoaXz9tM7OzksGWpWVlZLGd3idi2I7uzY1NVl2fTi/36/6+vpclzHrwuFwfCdeq4apc43T6dTg4GCuywAAAHPIucFR/fr1k/rlqyf19L4zGo2Y00m3pnKBPnbTKn3sptW6akW5KdcEAFgPgZ0J9uzZE++qi30sjQd5iZ9PFAvqpvr3ucDn88nr9aqpqclyX0c4HNb27du1a9euXJcy67Zu3RrvgoQ5nE6nzp07l+syAACAxfUMjKj99VP6+Ssn9Mx+86a7rlxUrA/fsFIfuWmVbrpskWw2dngFgPmOwM4EO3bsiN8OhUIKh8OSpl/sPzZN02pBVyoaGhrU3t4uj8ejjo6OXJczwdatW1VbWzvn1gfMVCAQUFtbm+W+H3Mdm04AAICpdA+M6PHXTuoXr5zQc51dpoV0S8uLxkO6G1eqem2F7HZCOgDIJwR2JkgMhQKBwEWfu5TYcVu2bMleYbOgtbVVVVVVam5utkxHV1tbmwKBgA4cOJDrUmZVOByWx+NRS0tL3gWV2cYadgAAINHZ/mE9/tpJ/fKVk3ou1KWISSHd4lKn7rl+hT5y4yrdur5SDkI6AMhbBHYmi20gUVtbO+UxsbDO5XLNi2Clvb1dNTU1qq6unvbrni3bt29XR0dH3q3f5vF4tHnz5mk7O5EedokFAADHw+f1+Gsn9atXT2r3wW6ZlNHJVVKoe65boQ/fuFK3uxerwGE358IAgDmNwM5kyXTOxTZp2Lx586zUlG1ut1u7du3Spk2btGvXrpyHkPk4HdTr9crlcll2A5C5jimxAADkp9CZfv3qtZN6/NWTeumoeevZlhcXqO7a5froTav07g1LVEhIBwCYhMDORLHdYaXpp8S2tbVJGg9ZYmLr3s3VrrDq6mp1dHRYcj27+a65uZmwLsuYEgsAQH4wDENvnOiLh3Rvnuoz7doLiwv0/utW6MM3rNQdGxarqMBh2rUBAPMPgZ2JYt11000L9fv9ksa70hJDvaamJjU1Nc3ZwE4a/5oI62afVdYOnM+YEgsAwPwVjRp64Ug4Pt31cPegadd2lRTqA9eu0AdvWKE7qpbIWUAnHQAgOQR2Jort/FpXVzflMbE17hK766Tx3WXn8o6xwHzGlFgAAOaXkbGo/nCgS79+7ZR+/fpJneodNu3alaVOfeC65frQDSv1TvdiprsCANJCYGeiZDrsQqHQRcfEuusAWBNTYgEAmPv6hkb11Ftn9OvXTunJN0+rb2jMtGsvLnXqA9ePT3e9bX0lG0cAADJGYGeSZHd+ra+vj685Jr29np0VdlcFcGlMiQUAYG463TekwOun9evXT+rZ/V0aiURNu/byhUV6/4XprretXyyH3WbatQEAILAzSWVlpVwul7Zt2zbtcT6fT+FwWB6PR5WVlaqrq5PP55ulKgGkgymxAADMHZ1n+uNTXV88EpZhmHfttZUl+uD1K/SB61foHZe5ZCekAwBkCYGdSaqrq9XT05PUsezmCcwtTIkFAMC6olFDLx4Nq/31U/r1ayfVeWbA1OtftbxcH7h+he65boWuWVkum42QDgCQfQR2ADADp9OpsbExGYbBf9IBALCAwZExPb3vrAKvj69Hd7bf3D+s3XTZonhI515aZuq1AQBIBoEdAMzA6XRKkkZHR+O3AQDA7Dpx7rx2vXFau944pWc6uzQyZt56dDabtPHySn3w+hV6/3UrtNq1wLRrAwCQDgI7AJhBYWGhJGlkZITADgCAWWIYhl473qv2109p195TevVYr6nXLyqw684rlur91y3XpquXaXFZkanXBwAgEwR2ADCDWEjHOnYAAGTX0GhEz3V2KfDGKe1647RO9g6Zen1XSaHuvnqZ3n/tCr3nyiUqcfJyCABgTfyGAoAZJE6JBQAA5joePq8n3zytJ/ee1jP7u3R+NGLq9Ve7Fuj91y3X+69doY2XV6jAYTf1+gAAZAOBHQDMIHFKLAAAyEwkauiFwz16Yu9pPbH3tPae7DP9Pq5duVDvv2656q5drmtXLmTTKADAnENgBwAzYEosAACZCQ+O6Km3zuiJvaf11FtnFB40t2u9wG7Tbe5Kbbp6PKRbU1li6vUBAJhtBHYAMAOmxAIAkBrDMLT3ZJ+e2Ds+1TV4uEdRw9z7WLSgUO+7aqk2XbNcd121VAuLC829AwAAcojADgBmwJRYAABm1jc0qmf2n9VTb53RU2+e0fFz5m4YIUnrl5Sq9ppl2nTNct2yjvXoAADzF4EdAMyAKbEAAFzMMAy9caJPv3nrtJ5684w6DvVozOQ2OrtNumVdpTZds0y11y5X1dIyU68PAIBVEdgBwAyYEgsAwLhz50f1u31n9Zs3x9eiO903bPp9lBcV6D1XLtWma5bpfVctU0Wp0/T7AADA6gjsAGAGdNgBAPJVNGroteO9euqt0/rNm2f0wpGwImYvRidpw7Iy3X31eEB3y+UVKmSqKwAgzxHYAcAMWMMOAJBPTvcN6Xf7zuq3b53R7/af1dl+83//OQvseqd7sTZdCOnWLmZXVwAAEhHYAcAMmBILAJjPhkYj2nOwR7/dd0a/feuM9p7sy8r9rFxUrPdetUx3X71M79qwWCVOXooAADAVfksCwAyYEgsAmE8Mw9C+0/367Vtn9Nt9Z/WHUJeGx6Km34/dJt28tiI+1fWaleWy2Wym3w8AAPMRgR0AzIApsQCAua57YERP7zujp/ed1dP7zuhUr/mbRUjSsvIi3XXlUt111VLduWGpFpUUZuV+AACY7wjsAGAGTIkFAMw150ciev5gt57Zf1bP7D+r1473ZuV+Cuw2Va+r0HuvWqr3XkkXHQAAZiGwA4AZ0GEHALC6sUhUrxw7p2f2n9Xv9p9V8FBYIxHzp7lK42vR3XXlUr33qqW6Y8MSLSymiw4AALMR2AHADBwOh+x2O4EdAMAyDMNQ55mBeAfdc6Eu9Q2NZeW+nA67brl8vIvuriuX6crlZXTRAQCQZQR2AJAEp9PJlFgAQE6dPDekZzvP6pn9XXpm/1md7B3K2n1tWFamO69YovdcuVS3ra9kR1cAAGYZv3kBIAlOp5MOOwDArDrbP6zfh7r0bGeXft/ZpdDZgazdl6ukUO/asER3XbFU775iiVa5FmTtvgAAwMwI7AAgCYWFhQR2AICsOjc4qt8f6NJzneNvb57qy9p9Fdhtql5bEe+iu371IjnsTHMFAMAqCOwAIAlMiQUAmK1/eEy7D3Tr2c7xNeheO94rw8je/bmXlOpdG8YDune6K1XOZhEAAFgWgR0AJIEpsQCATPUNjWrPoR79IdStPxzo0stHzykSzV5Ct6SsSO/asFjv2rBE79qwRKuZ5goAwJxBYAcASWBKLAAgVefOj2r3gfFw7g8HuvXqsXPKYj6nEqdD73SPB3Tv3rCE3VwBAJjDCOwAIAl02AEAZtIzMKLnD3bHO+heP5HdKa4Ou003r3GNB3RXLNFNl7nkLLBn7w4BAMCsIbADgCSwhh0AYLIzfcPafbBbfwiNd9DtPZm9TSJirlm5UHdULdbt7sW6jXXoAACYtwjsACAJTIkFgPxmGIYOdQ3q+YPd2nOwW7sP9ujA2YGs3++GZWUJAd1iVZY6s36fAAAg9wjsACAJTIkFgPwSiRp640Svdh/svvDWozN9w1m/38sXl+j2qsW6vWqJ3umu1LLy4qzfJwAAsB4COwBIAlNiAWB+GxqN6KUjYe0+2K3nD/YoeKhH/cNjWb/fVYuKdXvVkvEuuqrFWsVOrgAAQAR2AJAUpsQCwPxyum9IwUM96jjUoz2HevTqsXMajWRxh4gLLqtYoNvWL9Y73ZV6p3uxLqtYwE6uAADgIgR2AJAEpsQCwNwViRp661SfOi4EdB2HenS4e3BW7vvyxSW6bf34BhG3uRdrNR10AAAgCQR2AJAEp9Op8+fP57oMAEAS+ofH9OLhsPYc6lbHoR69eDisvlmY3ipJVUtLdZt7sW5bX6nb1i/WikWsQQcAAFJHYAcASXA6nTp37lyuywAATBKNGjrQNaAXDof1wuEevXA4rL0nexXN/uxW2WzS1SsWauPlFbp1faVuXc8mEQAAwBwEdgCQBNawAwBrODc4qhePvh3OvXgkrHPnZ2dTIKfDrpvWLNItl1fq1ssrVb2uQosWFM7KfQMAgPxCYAcASWCXWACYfWORqN461a8XjvTEO+g6zwzM2v2XFxWo5vIKbby8Uhsvr9SNly1ScaFj1u4fAADkLwI7AEgCm04AQHYZhqHj54b00pGwXjoa1ktHwnr56DkNjkRmrYZl5UXauL5SG9dVaOP6Sl29YqEcdnZwBQAAs4/ADgCSwJRYADBXz8CIXjo6HsqNh3TndLZ/eNbu326Trlm5UDXrKuJvq10LZLMR0AEAgNwjsAOAJDAlFgDSd34kolePvx3MvXw0rENdg7NaQ3lRgW5eV6FbLoRzN61xqayI/woDAABr4n8pAJAEpsQCQHKGRiPae7JPrxw7p1ePntPLx87prVN9iszGtq0J1i0umdA9d8Wycqa3AgCAOYPADgCSwJRYALjYpcK5faf6NDbL4Vyp06Gb1rh081qXbl5ToXesdWlJWdGs1gAAAGAmAjsASAJTYgHkO6uEczabtGFp2Xg4t7ZCN6910T0HAADmHQI7AEgCU2IB5JPeoVG9frxXrx3v1WvHz+n1473af7p/1sM5SaooKRwP5taMB3Q3rlmkhcWFs14HAADAbCKwA4AkMCUWwHxkGIZO9w3rtePn9NqxCwHdiXM60n0+J/UUFdh1/epFuukyl25aM/5+3eISdm4FAAB5h8AOAJLAlFgAc10kaujA2QG9cWJi51zXQG7+GGG3SVcuL9c71rh00xqXbrxska5cXq5Chz0n9QAAAFgJgR0AJCEW2BmGQacHAMs7NziqN0726o0Tvdp7ok9vnOzVmyf7NDwWzVlNaytLdNMal266bJFuWuPSdasWqsTJf0UBAAAuhf8lAUASCgvH10saHR2V0+nMcTUAMC6xa27vyV69caJPe0/06vi5oZzWdVnFAt2wepGuX71IN162SNevWqSKUn52AgAAJIvADgCSEAvpCOwA5EJsrbk3T/bprVN9evNkn9688D6XXXMS4RwAAEA2ENgBQBJiId3IyIhKS0tzXA2A+Sw8OPJ2MHeqT2+d7Nebp/p07nzu19EknAMAAJgdBHYAkITYlFh2igVglr6hUe0/3a99p8YDuVjn3Om+4VyXJofdpg1Ly3TdqoW6dtVCXbdqka5duVCLSgpzXRoAAEBeILADgCQkdtgBQCp6Bka073S/9p3u0/7T/fGQ7mRvbteZiykutOualQt17crxYO66VQt11YpyFRc6cl0aAABA3iKwA4AkJK5hBwCTGYahM33D42HchXBu36l+dZ7p19l+6wT9S8qKdM3Kcl2zcqGuWzX+tn5JmRx2dr8GAACwEgI7AEgCU2IBSNLQaESHugYVOjMexoXODKjz7IBCp/vVNzyW6/LiCh02bVhWPh7OrVioq1eW6+oVC7W0vCjXpQEAACAJBHYAkASmxAL5I9Yt13lmQKGz/eo8Pf4+dGZAR3sGFTVyXeFES8uLdM3KhbpmxXjn3NUry1W1tEyFDnuuSwMAAECaCOwAIAlMiQXmn56BER3oGtDBsxfeugZ1sGtAB84MWKpbLqasqEBXLi/TVSsW6qrlZbpyRbmuXF6uJWV0zQEAAMw3BHYAkAQ67IC56dzg6Nuh3IX3B7oGdfDsgM6dt2YA7yyw64plZbpqebmuXFEef79qUbFsNtaaAwAAyAcEdgCQBNawA6wpGjV0um9Yh7oGdLh7MP52qGtQh7oG1DNozVBOkpwOu9YvKdWG5WXxgO6qFeVaW1miAqazAgAA5DUCOwBIAlNigdwZGo3oaM94CBcL42LB3JHuQQ2PRXNd4rSKC+3asKxMVywr14ZlZRdulxHMAQAAYEoEdgCQBKbEAtkzPBbRifCQjvac15GeQR3tGdTRnvMX3gZ1qnc41yUmpby4QFVLy3Tl8rIJAd1q1wLZ7UxlBQAAQPII7AAgCUyJBdI3NBrRyXNDOhY+ryPdg/EgLhbKneobkmGxnVenYrdJaytL5F5aJveSUlUtG3/vXlqmJWVO1pgDAACAKQjsACAJTIkFLi0aNXR2YFjHw0M6Hj5/4e3C7XPjH5/tn3tB96IFhXIvLZV7SZmqll14v7RUaxeXqKjAkevyAAAAMM8R2AFAEpgSi3wUjRrqGhjRqd4hnTw3pBO9Qzp1bigexB0Pj39+JGLtNeSmUlZUoMuXlOjyxaVav6RUly8u1eVLxm9XlBTSLQcAAICcIbADgCQwJRbzzchYVKd6h3Sqd0gnzr39/uSFUO7EuSGd7hvSaGSOzFWdQonToXWLS7X+QjAXC+QuX1zKFFYAAABYFoEdACTB4XDIbrczJRaWNzgyptO9wzrdN6zTfUMTbp/pG77w8ZB6BufPWF5aXqS1lSVaV1miNZUlWre4RGsrx9+WlhcRygEAAGDOIbADgCQ5nc4pO+yi0ahGR0c1OjqqkZERjYyMTLg9+eNL3e7r65vlrwhzxdBoRGf6htU1MKKzfcM62z9++8yF22f6xt9O9w2rf3gs1+WartBh05qKi8O4tRdulzj57wwAAADmF5thzJV92QAgt1wul+x2uxYsWHBR4DY2Zm5I0t/fr9LSUlOvCesYHosoPDiq7oER9QyMqGtgRD2DIzrbP6Kz/cM6GwvnLtweGInkuuSsKnTYtMq1QGsqSnRZxYILbyXx98vKi2S30yUHAACA/MGfpAEgSQ899JD27t0rp9Mpp9OpwsLC+O3JH6dze2RkRIsWLcr1l4kUDY1GdO78qMKDowoPjih8flQ9AyPqHkwI4wZG1D144fMDI/OyC246zgK7VrsWaOWi4rdDucq3Q7ll5cVyEMgBAAAAcXTYAYBFDAwMqKysTBIddrPJMAwNj0XVOzSq3vNj6hsaVe/Q+Pvw4KjOnR+9EMiNjIdy50d1bnBU4fPjHw+Pzc0dUs1is0lLy4q0yrVAq10LtMpVrJWLFkz4uLKUzR0AAACAVNBhBwCYk2JB28DwmAaGI+obHtXAcEQDw2PqHx5LeB+5EMKNqm9o7O3358ff9w2NaSSS36HbVGJh3IpFxVqxsHj8/YXbsUBu+cJiOQvsuS4VAAAAmFcI7AAAWWEYhkYjhobGIhoejWp4LKLhsaiGRiM6PxLR4EhE5xNuD46MaWg0dnv88+dHY8eNaXAkEg/nYoHcWJQm8XQVF9q1rPziIC7x9tLyIhU6COMAAACA2UZgBwA5NjIW1aneIQ30D8Y/d/DsgIoHDY0vWjD+3pAUNS7cNiRDF98eixqKGobGIhfeRw1FolFFooq/H4tG48dEouPHjEWiGo0YGolENRp/MzQyNunjSFSjY29/PDQ6HsINj0U0NCmUGx6LikUXZl95cYGWlRdpWXmxli0smnB7acLt8qICpqkCAAAAFkVgBwA5duDsgD7w1d8qOjIU/9wHH3xadmdxDquClZQXF2hJWZGWlDm1pKxIiy+8T/xcLIgrLnTkulwAAAAAGSKwA5BTAwMDuS4h584PDig6MqTo6NuBXeJtzD9lRQVylRaoYoFTFaVOVZQ4VVFSKFdJLJAr1OKyIi0uLVJlqTPJEM5QZGRIAyNZLx8AAABAmpLdXJBdYgHkFFPyAAAAAAD5ItkYjpWkAQAAAAAAAAthSiyAnOrv7891CTnXebpfH3nod4qODunYw38qSVp93/dkL2QNu+kUOmwqKSpQqdOhUmeBSoscKi0uVJnToZILH5cVFajEWaCy4gKVX3hbWFyg8qJClRcXqnxBgRYUOuj0BAAAAGApBHYAcirZ+fvzWVmZcdEGE/bC4jm96YTNJhUXOFRUaL/ofVGBXcWFDpVcCNbevu3QAqdDCwpjtwsSbo9/vqyoQKVF42FcUQGbKwAAAACYnwjsACDHigodunpFuSIjhTpy4XPXrVqowuIFskmSzSabJLttfM0/2/inZJNt/H3CbYfdpgK7TY4Jb3Y5bBp/bx9/P/mYQodNhQ67Ch12OR328Y8LEj9++3OxjwsctotCuKICu4oKHCp02OhaAwAAAIA0sekEAFjEwMCAysrKJI1PFab7EAAAAADyE5tOAAAAAAAAABZCYAcAAAAAAABYCIEdAAAAAAAAYCEEdgAAAAAAAICFENgBAAAAAAAAFkJgBwAAAAAAAFgIgR0AAAAAAABgIQR2AAAAAAAAgIUQ2AEAAAAAAAAWQmAHAAAAAAAAWAiBHQAAAAAAAGAhBHYAAAAAAACAhRDYAQAAAAAAABZCYAcAAAAAAABYCIEdAAAAAAAAYCEEdgAAAAAAAICFENgBAAAAAAAAFkJgBwAAAAAAAFgIgR0AAAAAAABgIQR2AAAAAAAAgIUQ2AEAAAAAAAAWYjMMw8h1EQAAAAAAAADG0WEHAAAAAAAAWAiBHQAAAAAAAGAhBHYAAAAAAACAhRDYAQAAAAAAABZCYAcAAAAAAABYCIEdAAAAAAAAYCEEdgAAAAAAAICFENgBAAAAAAAAFkJgBwAAAAAAAFjI/wcb5O/gU0p/QAAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(x, model1(x), linewidth = 5, label = r\"$J_{\\theta}(\\lambda)$\")\n",
        "plt.plot(x, model2(x), linewidth = 5, label = r\"$J_{\\theta'}(\\lambda)$\")\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "slope = 0.6\n",
        "pos = slope/2\n",
        "lambd = pos\n",
        "\n",
        "x_ = np.linspace(-0.05, 0.05, 10)\n",
        "\n",
        "\n",
        "plt.vlines(lambd, 0, model2(lambd))\n",
        "plt.annotate(xy = (lambd, model2(lambd)),\n",
        "             xytext = (lambd - 0.2,  model2(lambd) + 0.05),\n",
        "             text = r\"Tangent\",\n",
        "             arrowprops=dict(arrowstyle = \"simple\", facecolor='black', relpos = (0.5, 0.5)))\n",
        "\n",
        "plt.plot([0,lambd], [0,0], color = \"crimson\", linewidth = 5, zorder = 3)\n",
        "\n",
        "\n",
        "plt.annotate(r\"Theorem 4 Critical region\", xy = (lambd/2,0) , xytext = (lambd/2, -0.1),\n",
        "            arrowprops=dict(arrowstyle='simple', facecolor='black', relpos = (0.5, 0.5)))\n",
        "\n",
        "\n",
        "plt.scatter(lambd, 0, s=100, color = \"purple\", zorder = 3)\n",
        "plt.text(lambd-0.01, -0.03, r\"$\\lambda_{\\theta'}^\\star$\")\n",
        "plt.plot(x_, slope * x_ - model2(slope/2), \"-.\", color = \"brown\", linewidth=3)\n",
        "x_ = np.linspace(slope/2-0.1, slope/2+0.1, 10)\n",
        "plt.plot(x_, slope * x_ - model2(slope/2), \"-.\", color = \"brown\", linewidth=3)\n",
        "plt.scatter(0, - model2(slope/2), s = 100, color = \"purple\", zorder = 3)\n",
        "# plt.annotate(xy = (0, - model2(slope/2)),\n",
        "#              xytext = (0.1, - model2(slope/2)),\n",
        "#              text = r\"$\\mathcal{I}(\\theta_2, 0.4)$\",\n",
        "#              arrowprops=dict(arrowstyle = \"simple\", facecolor='black', shrinkA = 20, shrinkB=20, relpos = (0.5, 0.5)))\n",
        "\n",
        "plt.annotate(r\"$\\frac{p}{n}\\ln\\frac{1}{\\delta}$\", xy = (0, - model1(slope/2)/2 - 0.02 ) , xytext = (-0.1, - model1(slope/2)/2- 0.02 - 0.007),\n",
        "            arrowprops=dict(arrowstyle='-[, widthB=01.5, lengthB=.5', shrinkA = 5,shrinkB = 20, lw=1.0))\n",
        "\n",
        "\n",
        "\n",
        "ax = plt.gca()\n",
        "ylim = ax.get_ylim()\n",
        "xlim = ax.get_xlim()\n",
        "\n",
        "\n",
        "plt.vlines(0, ylim[0], ylim[1], color = \"black\")\n",
        "plt.hlines(0, xlim[0], xlim[1], color = \"black\")\n",
        "\n",
        "plt.legend()\n",
        "ax.set_xlim([xlim[0]-0.05, xlim[1]])\n",
        "ax.set_ylim([ylim[0], ylim[1]])\n",
        "plt.savefig(\"plot.pdf\", format = \"pdf\",bbox_inches='tight')"
      ],
      "metadata": {
        "id": "p6-ztwk9qDK0",
        "outputId": "a97ca490-3d44-46f8-8e76-d5fcb416b721",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 622
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x700 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model1 = lambda x: (x**8)/1\n",
        "model2 = lambda x: (x**10)/1.5\n",
        "model3 = lambda x: (x**4)/3"
      ],
      "metadata": {
        "id": "hIOLMGDeJnHd"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x = np.linspace(0, 2, 100)"
      ],
      "metadata": {
        "id": "lkLnsKNVT_z4"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.clf()"
      ],
      "metadata": {
        "id": "4eQq79S_1Fpn",
        "outputId": "2ee2b83a-5f71-42f0-b3a1-9dafc32392e2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x800 with 0 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.rcParams['figure.figsize'] = (16, 8)\n",
        "plt.plot(x, model1(x), linewidth = 5, label = r\"$\\mathcal{I}_{\\bm{\\theta}_1}(a)$\", color = \"cornflowerblue\", marker = \"o\",  markersize=15, markevery=10)\n",
        "plt.plot(x, model2(x), linewidth = 5, label = r\"$\\mathcal{I}_{\\bm{\\theta}_2}(a)$\", color = \"goldenrod\", marker = \">\",  markersize=15, markevery=10)\n",
        "plt.plot(x, model3(x), linewidth = 5, label = r\"$\\mathcal{I}_{\\bm{\\theta}_3}(a)$\", color = \"tomato\", marker = \"<\",  markersize=15, markevery=10)\n",
        "plt.vlines(1.15, 0, 2.1, color = \"black\", linestyles=\"dashed\", linewidth = 3)\n",
        "plt.vlines(2, 0, 2.1, color = \"black\", linestyles=\"dashed\", linewidth = 3)\n",
        "\n",
        "plt.tick_params(left = True, right = False , labelleft = True , labelbottom = True, bottom = True)\n",
        "\n",
        "plt.annotate(r\"$L(\\bm{\\theta}_1) - m_{\\bm{\\theta}_1}$\", xy = (1.15, 0) , fontsize = 36, xytext = (0.9,  -0.2))\n",
        "\n",
        "#plt.scatter(1.15, 0, color = \"teal\", s = 100, zorder = 3)\n",
        "\n",
        "plt.annotate(r\"$L(\\bm{\\theta}_3) - m_{\\bm{\\theta}_3}$\", xy = (2, 0) , fontsize = 36, xytext = (1.75,  -0.2))\n",
        "\n",
        "#plt.scatter(2, 0, color = \"teal\", s = 100, zorder = 3)\n",
        "\n",
        "#plt.axis('off')\n",
        "#plt.hlines(0, 0, 2.1, color = \"black\", linewidth = 5)\n",
        "#plt.vlines(0, 0, 2.1, color = \"black\", linewidth = 5)\n",
        "\n",
        "plt.ylim(-0.01, 2.1)\n",
        "plt.xticks([0])\n",
        "plt.grid(True)\n",
        "plt.legend(loc = 2, fontsize=36)\n",
        "plt.savefig(\"I_definition.pdf\",format = \"pdf\",bbox_inches='tight')"
      ],
      "metadata": {
        "id": "mwSnRldsT1CK",
        "outputId": "c5de0fd2-38ae-4c74-8095-82e62217718c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 721
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x800 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model1 = lambda x: (x**(1/8))/1\n",
        "model2 = lambda x: ((x*1.5)**(1/10))\n",
        "model3 = lambda x: ((x*3)**(1/4))"
      ],
      "metadata": {
        "id": "dH7xnQtoT8e2"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.rcParams['figure.figsize'] = (16, 8)\n",
        "plt.plot(x, model1(x), linewidth = 5, label = r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}_1}(s)$\", color = \"cornflowerblue\", marker = \"o\",  markersize=15, markevery=10)\n",
        "plt.plot(x, model2(x), linewidth = 5, label = r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}_2}(s)$\", color = \"goldenrod\", marker = \">\",  markersize=15, markevery=10)\n",
        "plt.plot(x, model3(x), linewidth = 5, label = r\"$\\mathcal{I}^{-1}_{\\bm{\\theta}_3}(s)$\", color = \"tomato\", marker = \"<\",  markersize=15, markevery=10)\n",
        "#plt.xlim(0, 2)\n",
        "plt.hlines(1.15, 0, 2.1, color = \"black\", linestyles=\"dashed\", linewidth = 3)\n",
        "plt.hlines(2, 0, 2.1, color = \"black\", linestyles=\"dashed\", linewidth = 3)\n",
        "\n",
        "plt.tick_params(left = False, right = False , labelleft = True , labelbottom = True, bottom = True)\n",
        "\n",
        "\n",
        "plt.annotate(r\"$L(\\bm{\\theta}_1) - m_{\\bm{\\theta}_1}$\", xy = (0, 1.15) , fontsize = 36, xytext = (0.01, 1.24))\n",
        "\n",
        "#plt.scatter(0, 1.15, color = \"teal\", s = 100, zorder = 3)\n",
        "\n",
        "plt.annotate(r\"$L(\\bm{\\theta}_3) - m_{\\bm{\\theta}_3}$\", xy = (0, 2) , fontsize = 36, xytext = (0.01, 1.80))\n",
        "\n",
        "#plt.scatter(0, 2, color = \"teal\", s = 100, zorder = 3)\n",
        "\n",
        "#plt.axis('off')\n",
        "#plt.vlines(0, 0, 2.1, color = \"black\", linewidth = 5)\n",
        "#plt.hlines(0, 0, 2.1, color = \"black\", linewidth = 5)\n",
        "\n",
        "plt.xlim(-0., 2.1)\n",
        "plt.yticks([0])\n",
        "plt.grid()\n",
        "plt.legend(loc = 4, fontsize=34)\n",
        "\n",
        "plt.savefig(\"Iinv_definition.pdf\",format = \"pdf\",bbox_inches='tight')"
      ],
      "metadata": {
        "id": "T0JAvx_4pvh8",
        "outputId": "ea21f812-212c-45a6-f476-4ab040633791",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 699
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x800 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "5dr5sK-K30NJ"
      },
      "execution_count": null,
      "outputs": []
    }
  ],
  "metadata": {
    "colab": {
      "provenance": [],
      "machine_shape": "hm",
      "include_colab_link": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "gpuClass": "standard",
    "accelerator": "GPU"
  },
  "nbformat": 4,
  "nbformat_minor": 0
}