diff --git a/template_notebook_to_follow.ipynb b/template_notebook_to_follow.ipynb
index 16a4fef..abf83a0 100644
--- a/template_notebook_to_follow.ipynb
+++ b/template_notebook_to_follow.ipynb
@@ -68,248 +68,129 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
-      "metadata": {
-        "colab": {
-          "base_uri": "https://localhost:8080/",
-          "height": 141
-        },
-        "id": "5dHhq5m6wTI2",
-        "outputId": "e5b6b3e4-b4f1-4f4f-88c3-b1f294e03d0c"
-      },
-      "outputs": [
-        {
-          "name": "stdout",
-          "output_type": "stream",
-          "text": [
-            "  Installing build dependencies ... \u001b[?25l\u001b[?25hdone\n",
-            "  Getting requirements to build wheel ... \u001b[?25l\u001b[?25hdone\n",
-            "  Preparing metadata (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
-            "  Building wheel for condacolab (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
-            "\u001b[33mWARNING: Running pip as the 'root' user can result in broken permissions and conflicting behaviour with the system package manager. It is recommended to use a virtual environment instead: https://pip.pypa.io/warnings/venv\u001b[0m\u001b[33m\n",
-            "\u001b[0m✨🍰✨ Everything looks OK!\n"
-          ]
-        }
-      ],
-      "source": [
-        "#@title Bootstrap conda environment {display-mode: \"form\"}\n",
-        "#@markdown - Click the ▷ button to initialize the conda-eda environment.\n",
-        "#@markdown - Wait for the installation to complete\n",
-        "#@markdown - Click the `Restart Kernel` button.\n",
-        "%pip install -q https://github.com/conda-incubator/condacolab/archive/28521d7c5c494dd6377bb072d97592e30c44609c.tar.gz\n",
-        "import condacolab\n",
-        "\n",
-        "condacolab.install(restart_kernel=False)"
-      ]
-    },
-    {
-      "cell_type": "markdown",
-      "metadata": {
-        "id": "U6rf4KBdwsJ5"
-      },
-      "source": [
-        "### Install dependencies\n",
-        "\n",
-        "- Wait for the kernel restart to complete.\n",
-        "- Click the ▷ button below to run the hidden cells to complete the setup."
-      ]
-    },
-    {
-      "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 1,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
         },
         "id": "aKoPD8cKw2UL",
-        "outputId": "8d1db9b2-5dda-42c8-fe00-2e7a8d0b8bff"
+        "outputId": "0959dcdf-5df0-44ba-fb67-b9c3bd7d40b4"
       },
       "outputs": [
         {
-          "name": "stdout",
           "output_type": "stream",
-          "text": [
-            "Overwriting environment.yml\n"
-          ]
-        }
-      ],
-      "source": [
-        "%%writefile environment.yml\n",
-        "channels:\n",
-        "  - conda-forge\n",
-        "dependencies:\n",
-        "  - ngspice"
-      ]
-    },
-    {
-      "cell_type": "code",
-      "execution_count": null,
-      "metadata": {
-        "colab": {
-          "base_uri": "https://localhost:8080/"
-        },
-        "id": "JBbUOsEPyTuU",
-        "outputId": "4cd6e0e8-4e70-4a70-b7a1-5ada626a03c6"
-      },
-      "outputs": [
-        {
           "name": "stdout",
-          "output_type": "stream",
           "text": [
-            "\u001b[?25l\u001b[2K\u001b[0G[+] 0.0s\n",
-            "\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.1s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.2s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.3s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.4s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.5s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.6s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.7s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.8s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 0.9s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.0s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.1s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.2s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.3s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.4s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.5s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.6s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.7s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.8s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 1.9s\n",
-            "conda-forge/linux-64  ⣾  \n",
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-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 2.2s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch    ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 2.3s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch   100%\u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 2.4s\n",
-            "conda-forge/linux-64  ⣾  \n",
-            "conda-forge/noarch   100%\u001b[2K\u001b[1A\u001b[2K\u001b[1A\u001b[2K\u001b[0Gconda-forge/noarch                                \n",
-            "[+] 2.5s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 2.6s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 2.7s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 2.8s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 2.9s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 3.0s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 3.1s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 3.2s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 3.3s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 3.4s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 3.5s\n",
-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 3.6s\n",
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-            "conda-forge/linux-64  ⣾  \u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 5.7s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 5.8s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 5.9s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 6.0s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 6.1s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 6.2s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 6.3s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 6.4s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 6.5s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 6.6s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0G[+] 6.7s\n",
-            "conda-forge/linux-64 100%\u001b[2K\u001b[1A\u001b[2K\u001b[0Gconda-forge/linux-64                              \n",
-            "\u001b[?25h\n",
             "\n",
-            "Looking for: ['ngspice']\n",
+            "                                           __\n",
+            "          __  ______ ___  ____ _____ ___  / /_  ____ _\n",
+            "         / / / / __ `__ \\/ __ `/ __ `__ \\/ __ \\/ __ `/\n",
+            "        / /_/ / / / / / / /_/ / / / / / / /_/ / /_/ /\n",
+            "       / .___/_/ /_/ /_/\\__,_/_/ /_/ /_/_.___/\\__,_/\n",
+            "      /_/\n",
+            "\n",
+            "Empty environment created at prefix: /content/conda-env\n",
+            "\n",
+            "                                           __\n",
+            "          __  ______ ___  ____ _____ ___  / /_  ____ _\n",
+            "         / / / / __ `__ \\/ __ `/ __ `__ \\/ __ \\/ __ `/\n",
+            "        / /_/ / / / / / / /_/ / / / / / / /_/ / /_/ /\n",
+            "       / .___/_/ /_/ /_/\\__,_/_/ /_/ /_/_.___/\\__,_/\n",
+            "      /_/\n",
             "\n",
             "\n",
-            "\n",
-            "  Pinned packages:\n",
-            "\n",
-            "  - python 3.8.*\n",
-            "  - python_abi 3.8.* *cp38*\n",
-            "  - cudatoolkit 11.2.*\n",
+            "Pinned packages:\n",
+            "  - python 3.7*\n",
             "\n",
             "\n",
             "Transaction\n",
             "\n",
-            "  Prefix: /usr/local\n",
+            "  Prefix: /content/conda-env\n",
             "\n",
-            "  All requested packages already installed\n",
+            "  Updating specs:\n",
             "\n",
-            "\u001b[?25l\u001b[2K\u001b[0G\u001b[?25hPreparing transaction: - \b\bdone\n",
-            "Verifying transaction: | \b\bdone\n",
-            "Executing transaction: - \b\bdone\n",
-            "#\n",
-            "# To activate this environment, use\n",
-            "#\n",
-            "#     $ conda activate base\n",
-            "#\n",
-            "# To deactivate an active environment, use\n",
-            "#\n",
-            "#     $ conda deactivate\n",
+            "   - ngspice=*\n",
             "\n",
-            "Retrieving notices: ...working... done\n"
+            "\n",
+            "  Package                    Version  Build            Channel                 Size\n",
+            "─────────────────────────────────────────────────────────────────────────────────────\n",
+            "  Install:\n",
+            "─────────────────────────────────────────────────────────────────────────────────────\n",
+            "\n",
+            "  \u001b[32m+ _libgcc_mutex\u001b[0m                0.1  main             main/linux-64            3kB\n",
+            "  \u001b[32m+ _openmp_mutex\u001b[0m                5.1  1_gnu            main/linux-64           21kB\n",
+            "  \u001b[32m+ libgcc-ng    \u001b[0m             11.2.0  h1234567_1       main/linux-64            9MB\n",
+            "  \u001b[32m+ libgomp      \u001b[0m             11.2.0  h1234567_1       main/linux-64          573kB\n",
+            "  \u001b[32m+ libstdcxx-ng \u001b[0m             11.2.0  h1234567_1       main/linux-64            6MB\n",
+            "  \u001b[32m+ ngspice      \u001b[0m  39.3_2_gf9ed3fd08  20230225_164303  litex-hub/linux-64       3MB\n",
+            "\n",
+            "  Summary:\n",
+            "\n",
+            "  Install: 6 packages\n",
+            "\n",
+            "  Total download: 19MB\n",
+            "\n",
+            "─────────────────────────────────────────────────────────────────────────────────────\n",
+            "\n",
+            "\n",
+            "\n",
+            "Transaction starting\n",
+            "Linking libstdcxx-ng-11.2.0-h1234567_1\n",
+            "Linking _libgcc_mutex-0.1-main\n",
+            "Linking libgomp-11.2.0-h1234567_1\n",
+            "Linking _openmp_mutex-5.1-1_gnu\n",
+            "Linking libgcc-ng-11.2.0-h1234567_1\n",
+            "Linking ngspice-39.3_2_gf9ed3fd08-20230225_164303\n",
+            "Transaction finished\n",
+            "downloading: https://github.com/efabless/globalfoundries-pdk-libs-gf180mcu_fd_pr/raw/main/models/ngspice/design.ngspice\n",
+            "downloading: https://github.com/efabless/globalfoundries-pdk-libs-gf180mcu_fd_pr/raw/main/models/ngspice/sm141064.ngspice\n",
+            "downloading: https://github.com/efabless/globalfoundries-pdk-libs-gf180mcu_fd_pr/raw/main/models/ngspice/sm141064_mim.ngspice\n",
+            "downloading: https://github.com/efabless/globalfoundries-pdk-libs-gf180mcu_fd_pr/raw/main/models/ngspice/smbb000149.ngspice\n",
+            "env: CONDA_PREFIX=/content/conda-env\n",
+            "env: PATH=/content/conda-env/bin:/opt/bin:/usr/local/nvidia/bin:/usr/local/cuda/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/tools/node/bin:/tools/google-cloud-sdk/bin\n"
           ]
         }
       ],
       "source": [
-        "!mamba env update -n base -f environment.yml"
-      ]
-    },
-    {
-      "cell_type": "code",
-      "execution_count": null,
-      "metadata": {
-        "colab": {
-          "base_uri": "https://localhost:8080/"
-        },
-        "id": "Uc5tBh5D4FVT",
-        "outputId": "d82509a8-2051-4d20-ebc3-841dbce1898d"
-      },
-      "outputs": [
-        {
-          "name": "stdout",
-          "output_type": "stream",
-          "text": [
-            "fatal: destination path 'globalfoundries-pdk-libs-gf180mcu_fd_pr' already exists and is not an empty directory.\n"
-          ]
-        }
-      ],
-      "source": [
-        "!git clone https://github.com/google/globalfoundries-pdk-libs-gf180mcu_fd_pr.git"
+        "#@title Install dependencies {display-mode: \"form\"}\n",
+        "#@markdown - Click the ▷ button to setup the digital design environment based on [conda-eda](https://github.com/hdl/conda-eda).\n",
+        "\n",
+        "ngspice_version = 'latest' #@param {type:\"string\"}\n",
+        "gf180mcu_fd_pr_version = 'latest' #@param {type:\"string\"}\n",
+        "\n",
+        "if ngspice_version == 'latest':\n",
+        "  ngspice_version = ''\n",
+        "\n",
+        "if gf180mcu_fd_pr_version == 'latest':\n",
+        "  gf180mcu_fd_pr_version = 'main'\n",
+        "\n",
+        "import os\n",
+        "import pathlib\n",
+        "import urllib.request\n",
+        "\n",
+        "!curl -Ls https://micro.mamba.pm/api/micromamba/linux-64/latest | tar -xj bin/micromamba\n",
+        "conda_prefix_path = pathlib.Path('conda-env')\n",
+        "CONDA_PREFIX = str(conda_prefix_path.resolve())\n",
+        "!bin/micromamba create --yes --prefix $CONDA_PREFIX\n",
+        "!echo 'python ==3.7*' >> {CONDA_PREFIX}/conda-meta/pinned\n",
+        "!CI=0 bin/micromamba install --yes --prefix $CONDA_PREFIX \\\n",
+        "                     --channel litex-hub \\\n",
+        "                     --channel main \\\n",
+        "                     ngspice={ngspice_version}\n",
+        "\n",
+        "ngspice_models_dir = pathlib.Path('globalfoundries-pdk-libs-gf180mcu_fd_pr/models/ngspice')\n",
+        "ngspice_models_dir.mkdir(exist_ok=True, parents=True)\n",
+        "models = ['design.ngspice', 'sm141064.ngspice', 'sm141064_mim.ngspice', 'smbb000149.ngspice']\n",
+        "for m in models:\n",
+        "  url = f'https://github.com/efabless/globalfoundries-pdk-libs-gf180mcu_fd_pr/raw/{gf180mcu_fd_pr_version}/models/ngspice/{m}'\n",
+        "  print('downloading:', url)\n",
+        "  with urllib.request.urlopen(url) as src:\n",
+        "    with (ngspice_models_dir / m).open('wb') as dst:\n",
+        "      dst.write(src.read())\n",
+        "\n",
+        "PATH = os.environ['PATH']\n",
+        "%env CONDA_PREFIX={CONDA_PREFIX}\n",
+        "%env PATH={CONDA_PREFIX}/bin:{PATH}"
       ]
     },
     {
@@ -346,20 +227,20 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 2,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
         },
         "id": "J0k4CykG8wui",
-        "outputId": "48e6bafb-5334-4d30-8373-7786a66f94b4"
+        "outputId": "8b69d99a-4b1c-42b5-f860-53e0b43a2701"
       },
       "outputs": [
         {
-          "name": "stdout",
           "output_type": "stream",
+          "name": "stdout",
           "text": [
-            "Overwriting .spiceinit\n"
+            "Writing .spiceinit\n"
           ]
         }
       ],
@@ -370,20 +251,20 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 3,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
         },
         "id": "d4381uZZ1dbj",
-        "outputId": "eb42f2c2-3002-498a-e21a-5d4f3a799c66"
+        "outputId": "ae4c2403-439f-4d55-a2a1-9338f712449c"
       },
       "outputs": [
         {
-          "name": "stdout",
           "output_type": "stream",
+          "name": "stdout",
           "text": [
-            "Overwriting netlist.spice\n"
+            "Writing netlist.spice\n"
           ]
         }
       ],
@@ -395,16 +276,16 @@
         ".lib \"globalfoundries-pdk-libs-gf180mcu_fd_pr/models/ngspice/sm141064.ngspice\" typical\n",
         "\n",
         ".param width=10u\n",
-        "X1 vdp vgp 0 vbp pmos_3p3 w=width l=0.28u AD={width*0.24u} AS={width*0.24u} PD={2*(width + 0.24u)} PS={2*(width + 0.24u)}\n",
-        "vsdp     0  vdp        dc 0.9  \n",
-        "vsgp     0  vgp        dc 0.9    \n",
+        "X1 vdp vgp 0 vbp pfet_03v3 w=width l=0.28u AD={width*0.24u} AS={width*0.24u} PD={2*(width + 0.24u)} PS={2*(width + 0.24u)}\n",
+        "vsdp     0  vdp        dc 0.9\n",
+        "vsgp     0  vgp        dc 0.9\n",
         "vsbp     0  vbp        dc 0\n",
         ".op\n",
         ".option post nomod\n",
         ".end\n",
         "\n",
         ".control\n",
-        "save all @m.x1.m0[id] @m.x1.m0[gm]  @m.x1.m0[cgg] \n",
+        "save all @m.x1.m0[id] @m.x1.m0[gm]  @m.x1.m0[cgg]\n",
         "dc vsgp 0 1.8 0.01\n",
         "display\n",
         "wrdata output.txt @m.x1.m0[id] @m.x1.m0[gm]  @m.x1.m0[cgg]\n",
@@ -413,18 +294,18 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 4,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
         },
         "id": "6Qs0DbgP02vN",
-        "outputId": "145fa0f0-4767-411e-8772-73280fe57c2d"
+        "outputId": "0cf96806-cf62-4069-ceca-6c508ca39aaa"
       },
       "outputs": [
         {
-          "name": "stdout",
           "output_type": "stream",
+          "name": "stdout",
           "text": [
             "\n",
             "Note: Compatibility modes selected: hs\n",
@@ -442,7 +323,7 @@
             "\n",
             "Title: * pmos vgs sweep\n",
             "Name: dc1 (DC transfer characteristic)\n",
-            "Date: Fri Jan  6 01:06:28  2023\n",
+            "Date: Fri Mar 10 04:41:42  2023\n",
             "\n",
             "    @m.x1.m0[cgg]       : capacitance, real, 181 long\n",
             "    @m.x1.m0[gm]        : admittance, real, 181 long\n",
@@ -468,14 +349,14 @@
             "\tSource\tCurrent\n",
             "\t------\t-------\n",
             "\n",
-            "\t@m.x1.m0[id]                     2.829225e-05\n",
-            "\tvsdp#branch                      -2.82922e-05\n",
+            "\t@m.x1.m0[id]                     2.878168e-05\n",
+            "\tvsdp#branch                      -2.87817e-05\n",
             "\tvsgp#branch                      0.000000e+00\n",
             "\tvsbp#branch                      9.008252e-13\n",
             "\n",
             " BSIM4v5: Berkeley Short Channel IGFET Model-4\n",
             "     device               m.x1.m0\n",
-            "      model            pmos_3p3.8\n",
+            "      model           pfet_03v3.8\n",
             "          l               2.8e-07\n",
             "          w                 1e-05\n",
             "          m                     1\n",
@@ -500,7 +381,8 @@
             "       rbpb                    50\n",
             "       rbps                    50\n",
             "       rbpd                    50\n",
-            "     delvto           -0.00173689\n",
+            "     delvto                    -0\n",
+            "      mulu0                     1\n",
             "        xgw                     0\n",
             "      ngcon                     1\n",
             "   trnqsmod                     0\n",
@@ -509,17 +391,17 @@
             "   rgatemod                     0\n",
             "     geomod                     0\n",
             "    rgeomod                     0\n",
-            "       gmbs           8.86307e-05\n",
-            "         gm           0.000266785\n",
-            "        gds           5.90081e-06\n",
-            "      vdsat              0.191771\n",
-            "        vth              0.735876\n",
-            "         id           2.82922e-05\n",
+            "       gmbs           8.95099e-05\n",
+            "         gm           0.000269371\n",
+            "        gds           5.97813e-06\n",
+            "      vdsat              0.193151\n",
+            "        vth              0.734139\n",
+            "         id           2.87817e-05\n",
             "        ibd          -9.00825e-13\n",
             "        ibs                     0\n",
             "        gbd           1.00168e-12\n",
             "        gbs           1.00054e-12\n",
-            "       isub            1.8697e-19\n",
+            "       isub           1.89841e-19\n",
             "      igidl                     0\n",
             "      igisl                     0\n",
             "        igs                     0\n",
@@ -530,29 +412,29 @@
             "        vbs                    -0\n",
             "        vgs                   0.9\n",
             "        vds                   0.9\n",
-            "        cgg           9.14344e-15\n",
-            "        cgs          -6.86794e-15\n",
-            "        cgd           5.70583e-17\n",
-            "        cbg          -1.64522e-15\n",
-            "        cbd           2.68481e-17\n",
-            "        cbs          -3.18837e-15\n",
-            "        cdg          -3.00227e-15\n",
-            "        cdd          -3.18612e-17\n",
-            "        cds           4.02489e-15\n",
-            "        csg          -4.49594e-15\n",
-            "        csd          -5.20452e-17\n",
-            "        css           6.03141e-15\n",
-            "        cgb          -2.33256e-15\n",
-            "        cdb          -9.90754e-16\n",
-            "        csb          -1.48343e-15\n",
-            "        cbb           4.80674e-15\n",
+            "        cgg            9.1479e-15\n",
+            "        cgs           -6.8743e-15\n",
+            "        cgd           5.70911e-17\n",
+            "        cbg          -1.64433e-15\n",
+            "        cbd           2.68413e-17\n",
+            "        cbs          -3.18902e-15\n",
+            "        cdg          -3.00443e-15\n",
+            "        cdd          -3.18562e-17\n",
+            "        cds            4.0277e-15\n",
+            "        csg          -4.49914e-15\n",
+            "        csd          -5.20762e-17\n",
+            "        css           6.03562e-15\n",
+            "        cgb          -2.33068e-15\n",
+            "        cdb          -9.91414e-16\n",
+            "        csb          -1.48441e-15\n",
+            "        cbb            4.8065e-15\n",
             "      capbd           7.22884e-15\n",
             "      capbs           8.65386e-15\n",
-            "         qg           1.18221e-14\n",
-            "         qb          -9.40484e-15\n",
-            "         qd          -9.67557e-16\n",
-            "         qs          -1.44967e-15\n",
-            "       qinv            1.3522e-15\n",
+            "         qg           1.18378e-14\n",
+            "         qb          -9.40755e-15\n",
+            "         qd          -9.72774e-16\n",
+            "         qs          -1.45748e-15\n",
+            "       qinv           1.36557e-15\n",
             "       qdef                    -0\n",
             "       gcrg                     0\n",
             "       gtau                     0\n",
@@ -574,23 +456,23 @@
             "        pwr                     0                     0                     0\n",
             "       freq                     0                     0                     0\n",
             "      phase                     0                     0                     0\n",
-            "          i           9.00825e-13                     0          -2.82922e-05\n",
-            "          p                     0                     0           -2.5463e-05\n",
+            "          i           9.00825e-13                     0          -2.87817e-05\n",
+            "          p                     0                     0          -2.59035e-05\n",
             "\n",
             "\n",
-            "Total analysis time (seconds) = 0.002\n",
+            "Total analysis time (seconds) = 0.001798\n",
             "\n",
-            "Total elapsed time (seconds) = 0.052 \n",
+            "Total CPU time (seconds) = 0.114 \n",
             "\n",
-            "Total DRAM available = 12985.539 MB.\n",
-            "DRAM currently available = 8757.086 MB.\n",
-            "Maximum ngspice program size =   55.383 MB.\n",
-            "Current ngspice program size =   18.945 MB.\n",
+            "Total DRAM available = 12985.547 MB.\n",
+            "DRAM currently available = 7227.352 MB.\n",
+            "Maximum ngspice program size =   20.113 MB.\n",
+            "Current ngspice program size =   14.832 MB.\n",
             "\n",
-            "Shared ngspice pages =   10.492 MB.\n",
-            "Text (code) pages =    5.336 MB.\n",
+            "Shared ngspice pages =    6.988 MB.\n",
+            "Text (code) pages =    5.059 MB.\n",
             "Stack = 0 bytes.\n",
-            "Library pages =   24.625 MB.\n",
+            "Library pages =    8.773 MB.\n",
             "\n"
           ]
         }
@@ -601,21 +483,51 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 5,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
-          "height": 424
+          "height": 423
         },
         "id": "xh5L-L-KaM9A",
-        "outputId": "66e3b0d8-48a8-4403-c703-7e3e8cb51875"
+        "outputId": "bf99bf27-a710-4047-8282-c7b927499446"
       },
       "outputs": [
         {
+          "output_type": "execute_result",
           "data": {
+            "text/plain": [
+              "      vsg            gm  vsg1            id  vsg2           cgg     gm_id  \\\n",
+              "0    0.00  2.327947e-14  0.00  6.266460e-13  0.00  5.090079e-15  0.037149   \n",
+              "1    0.01  3.047037e-14  0.01  8.202064e-13  0.01  5.067127e-15  0.037150   \n",
+              "2    0.02  3.988240e-14  0.02  1.073551e-12  0.02  5.044596e-15  0.037150   \n",
+              "3    0.03  5.220157e-14  0.03  1.405141e-12  0.03  5.022486e-15  0.037150   \n",
+              "4    0.04  6.832577e-14  0.04  1.839142e-12  0.04  5.000804e-15  0.037151   \n",
+              "..    ...           ...   ...           ...   ...           ...       ...   \n",
+              "176  1.76  5.645906e-04  1.76  8.077414e-04  1.76  9.709857e-15  0.698974   \n",
+              "177  1.77  5.726699e-04  1.77  8.080913e-04  1.77  9.714894e-15  0.708670   \n",
+              "178  1.78  5.807518e-04  1.78  8.082642e-04  1.78  9.720098e-15  0.718517   \n",
+              "179  1.79  5.888346e-04  1.79  8.082598e-04  1.79  9.725480e-15  0.728521   \n",
+              "180  1.80  5.969164e-04  1.80  8.080786e-04  1.80  9.731051e-15  0.738686   \n",
+              "\n",
+              "              f_T  \n",
+              "0    7.278949e-01  \n",
+              "1    9.570531e-01  \n",
+              "2    1.258273e+00  \n",
+              "3    1.654188e+00  \n",
+              "4    2.174527e+00  \n",
+              "..            ...  \n",
+              "176  9.254244e+09  \n",
+              "177  9.381806e+09  \n",
+              "178  9.509114e+09  \n",
+              "179  9.636124e+09  \n",
+              "180  9.762790e+09  \n",
+              "\n",
+              "[181 rows x 8 columns]"
+            ],
             "text/html": [
               "\n",
-              "  <div id=\"df-a9636474-d0fe-423f-b2f1-8ee3b0aba163\">\n",
+              "  <div id=\"df-611bd9c2-c86a-4c72-ab9c-7d99511c6b59\">\n",
               "    <div class=\"colab-df-container\">\n",
               "      <div>\n",
               "<style scoped>\n",
@@ -649,57 +561,57 @@
               "    <tr>\n",
               "      <th>0</th>\n",
               "      <td>0.00</td>\n",
-              "      <td>2.219625e-14</td>\n",
+              "      <td>2.327947e-14</td>\n",
               "      <td>0.00</td>\n",
-              "      <td>5.974883e-13</td>\n",
+              "      <td>6.266460e-13</td>\n",
               "      <td>0.00</td>\n",
-              "      <td>5.093935e-15</td>\n",
+              "      <td>5.090079e-15</td>\n",
               "      <td>0.037149</td>\n",
-              "      <td>6.934998e-01</td>\n",
+              "      <td>7.278949e-01</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>1</th>\n",
               "      <td>0.01</td>\n",
-              "      <td>2.905256e-14</td>\n",
+              "      <td>3.047037e-14</td>\n",
               "      <td>0.01</td>\n",
-              "      <td>7.820429e-13</td>\n",
+              "      <td>8.202064e-13</td>\n",
               "      <td>0.01</td>\n",
-              "      <td>5.070913e-15</td>\n",
+              "      <td>5.067127e-15</td>\n",
               "      <td>0.037150</td>\n",
-              "      <td>9.118396e-01</td>\n",
+              "      <td>9.570531e-01</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>2</th>\n",
               "      <td>0.02</td>\n",
-              "      <td>3.802666e-14</td>\n",
+              "      <td>3.988240e-14</td>\n",
               "      <td>0.02</td>\n",
-              "      <td>1.023600e-12</td>\n",
+              "      <td>1.073551e-12</td>\n",
               "      <td>0.02</td>\n",
-              "      <td>5.048310e-15</td>\n",
+              "      <td>5.044596e-15</td>\n",
               "      <td>0.037150</td>\n",
-              "      <td>1.198843e+00</td>\n",
+              "      <td>1.258273e+00</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>3</th>\n",
               "      <td>0.03</td>\n",
-              "      <td>4.977265e-14</td>\n",
+              "      <td>5.220157e-14</td>\n",
               "      <td>0.03</td>\n",
-              "      <td>1.339763e-12</td>\n",
+              "      <td>1.405141e-12</td>\n",
               "      <td>0.03</td>\n",
-              "      <td>5.026129e-15</td>\n",
+              "      <td>5.022486e-15</td>\n",
               "      <td>0.037150</td>\n",
-              "      <td>1.576076e+00</td>\n",
+              "      <td>1.654188e+00</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>4</th>\n",
               "      <td>0.04</td>\n",
-              "      <td>6.514662e-14</td>\n",
+              "      <td>6.832577e-14</td>\n",
               "      <td>0.04</td>\n",
-              "      <td>1.753572e-12</td>\n",
+              "      <td>1.839142e-12</td>\n",
               "      <td>0.04</td>\n",
-              "      <td>5.004374e-15</td>\n",
+              "      <td>5.000804e-15</td>\n",
               "      <td>0.037151</td>\n",
-              "      <td>2.071869e+00</td>\n",
+              "      <td>2.174527e+00</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>...</th>\n",
@@ -715,63 +627,63 @@
               "    <tr>\n",
               "      <th>176</th>\n",
               "      <td>1.76</td>\n",
-              "      <td>5.628349e-04</td>\n",
+              "      <td>5.645906e-04</td>\n",
               "      <td>1.76</td>\n",
-              "      <td>8.072470e-04</td>\n",
+              "      <td>8.077414e-04</td>\n",
               "      <td>1.76</td>\n",
-              "      <td>9.708961e-15</td>\n",
-              "      <td>0.697228</td>\n",
-              "      <td>9.226318e+09</td>\n",
+              "      <td>9.709857e-15</td>\n",
+              "      <td>0.698974</td>\n",
+              "      <td>9.254244e+09</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>177</th>\n",
               "      <td>1.77</td>\n",
-              "      <td>5.709094e-04</td>\n",
+              "      <td>5.726699e-04</td>\n",
               "      <td>1.77</td>\n",
-              "      <td>8.076281e-04</td>\n",
+              "      <td>8.080913e-04</td>\n",
               "      <td>1.77</td>\n",
-              "      <td>9.713970e-15</td>\n",
-              "      <td>0.706896</td>\n",
-              "      <td>9.353854e+09</td>\n",
+              "      <td>9.714894e-15</td>\n",
+              "      <td>0.708670</td>\n",
+              "      <td>9.381806e+09</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>178</th>\n",
               "      <td>1.78</td>\n",
-              "      <td>5.789869e-04</td>\n",
+              "      <td>5.807518e-04</td>\n",
               "      <td>1.78</td>\n",
-              "      <td>8.078324e-04</td>\n",
+              "      <td>8.082642e-04</td>\n",
               "      <td>1.78</td>\n",
-              "      <td>9.719145e-15</td>\n",
-              "      <td>0.716717</td>\n",
-              "      <td>9.481145e+09</td>\n",
+              "      <td>9.720098e-15</td>\n",
+              "      <td>0.718517</td>\n",
+              "      <td>9.509114e+09</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>179</th>\n",
               "      <td>1.79</td>\n",
-              "      <td>5.870655e-04</td>\n",
+              "      <td>5.888346e-04</td>\n",
               "      <td>1.79</td>\n",
-              "      <td>8.078594e-04</td>\n",
+              "      <td>8.082598e-04</td>\n",
               "      <td>1.79</td>\n",
-              "      <td>9.724496e-15</td>\n",
-              "      <td>0.726693</td>\n",
-              "      <td>9.608146e+09</td>\n",
+              "      <td>9.725480e-15</td>\n",
+              "      <td>0.728521</td>\n",
+              "      <td>9.636124e+09</td>\n",
               "    </tr>\n",
               "    <tr>\n",
               "      <th>180</th>\n",
               "      <td>1.80</td>\n",
-              "      <td>5.951435e-04</td>\n",
+              "      <td>5.969164e-04</td>\n",
               "      <td>1.80</td>\n",
-              "      <td>8.077095e-04</td>\n",
+              "      <td>8.080786e-04</td>\n",
               "      <td>1.80</td>\n",
-              "      <td>9.730033e-15</td>\n",
-              "      <td>0.736829</td>\n",
-              "      <td>9.734811e+09</td>\n",
+              "      <td>9.731051e-15</td>\n",
+              "      <td>0.738686</td>\n",
+              "      <td>9.762790e+09</td>\n",
               "    </tr>\n",
               "  </tbody>\n",
               "</table>\n",
               "<p>181 rows × 8 columns</p>\n",
               "</div>\n",
-              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-a9636474-d0fe-423f-b2f1-8ee3b0aba163')\"\n",
+              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-611bd9c2-c86a-4c72-ab9c-7d99511c6b59')\"\n",
               "              title=\"Convert this dataframe to an interactive table.\"\n",
               "              style=\"display:none;\">\n",
               "        \n",
@@ -782,6 +694,63 @@
               "  </svg>\n",
               "      </button>\n",
               "      \n",
+              "  \n",
+              "    <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-611bd9c2-c86a-4c72-ab9c-7d99511c6b59')\"\n",
+              "            title=\"Generate charts.\"\n",
+              "            style=\"display:none;\">\n",
+              "      \n",
+              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
+              "       width=\"24px\">\n",
+              "      <g>\n",
+              "          <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
+              "      </g>\n",
+              "  </svg>\n",
+              "    </button>\n",
+              "   \n",
+              "  <style>\n",
+              "    .colab-df-quickchart {\n",
+              "      background-color: #E8F0FE;\n",
+              "      border: none;\n",
+              "      border-radius: 50%;\n",
+              "      cursor: pointer;\n",
+              "      display: none;\n",
+              "      fill: #1967D2;\n",
+              "      height: 32px;\n",
+              "      padding: 0 0 0 0;\n",
+              "      width: 32px;\n",
+              "    }\n",
+              "\n",
+              "    .colab-df-quickchart:hover {\n",
+              "      background-color: #E2EBFA;\n",
+              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
+              "      fill: #174EA6;\n",
+              "    }\n",
+              "\n",
+              "    [theme=dark] .colab-df-quickchart {\n",
+              "      background-color: #3B4455;\n",
+              "      fill: #D2E3FC;\n",
+              "    }\n",
+              "\n",
+              "    [theme=dark] .colab-df-quickchart:hover {\n",
+              "      background-color: #434B5C;\n",
+              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
+              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
+              "      fill: #FFFFFF;\n",
+              "    }\n",
+              "  </style>\n",
+              "\n",
+              "    <script>\n",
+              "      const quickchartButtonEl =\n",
+              "        document.querySelector('#df-611bd9c2-c86a-4c72-ab9c-7d99511c6b59 button.colab-df-quickchart');\n",
+              "      quickchartButtonEl.style.display =\n",
+              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
+              "\n",
+              "      async function quickchart(key) {\n",
+              "        const containerElement = document.querySelector('#df-611bd9c2-c86a-4c72-ab9c-7d99511c6b59');\n",
+              "        const charts = await google.colab.kernel.invokeFunction(\n",
+              "            'generateCharts', [key], {})\n",
+              "      }\n",
+              "    </script>    \n",
               "  <style>\n",
               "    .colab-df-container {\n",
               "      display:flex;\n",
@@ -822,12 +791,12 @@
               "\n",
               "      <script>\n",
               "        const buttonEl =\n",
-              "          document.querySelector('#df-a9636474-d0fe-423f-b2f1-8ee3b0aba163 button.colab-df-convert');\n",
+              "          document.querySelector('#df-611bd9c2-c86a-4c72-ab9c-7d99511c6b59 button.colab-df-convert');\n",
               "        buttonEl.style.display =\n",
               "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
               "\n",
               "        async function convertToInteractive(key) {\n",
-              "          const element = document.querySelector('#df-a9636474-d0fe-423f-b2f1-8ee3b0aba163');\n",
+              "          const element = document.querySelector('#df-611bd9c2-c86a-4c72-ab9c-7d99511c6b59');\n",
               "          const dataTable =\n",
               "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
               "                                                     [key], {});\n",
@@ -847,40 +816,10 @@
               "    </div>\n",
               "  </div>\n",
               "  "
-            ],
-            "text/plain": [
-              "      vsg            gm  vsg1            id  vsg2           cgg     gm_id  \\\n",
-              "0    0.00  2.219625e-14  0.00  5.974883e-13  0.00  5.093935e-15  0.037149   \n",
-              "1    0.01  2.905256e-14  0.01  7.820429e-13  0.01  5.070913e-15  0.037150   \n",
-              "2    0.02  3.802666e-14  0.02  1.023600e-12  0.02  5.048310e-15  0.037150   \n",
-              "3    0.03  4.977265e-14  0.03  1.339763e-12  0.03  5.026129e-15  0.037150   \n",
-              "4    0.04  6.514662e-14  0.04  1.753572e-12  0.04  5.004374e-15  0.037151   \n",
-              "..    ...           ...   ...           ...   ...           ...       ...   \n",
-              "176  1.76  5.628349e-04  1.76  8.072470e-04  1.76  9.708961e-15  0.697228   \n",
-              "177  1.77  5.709094e-04  1.77  8.076281e-04  1.77  9.713970e-15  0.706896   \n",
-              "178  1.78  5.789869e-04  1.78  8.078324e-04  1.78  9.719145e-15  0.716717   \n",
-              "179  1.79  5.870655e-04  1.79  8.078594e-04  1.79  9.724496e-15  0.726693   \n",
-              "180  1.80  5.951435e-04  1.80  8.077095e-04  1.80  9.730033e-15  0.736829   \n",
-              "\n",
-              "              f_T  \n",
-              "0    6.934998e-01  \n",
-              "1    9.118396e-01  \n",
-              "2    1.198843e+00  \n",
-              "3    1.576076e+00  \n",
-              "4    2.071869e+00  \n",
-              "..            ...  \n",
-              "176  9.226318e+09  \n",
-              "177  9.353854e+09  \n",
-              "178  9.481145e+09  \n",
-              "179  9.608146e+09  \n",
-              "180  9.734811e+09  \n",
-              "\n",
-              "[181 rows x 8 columns]"
             ]
           },
-          "execution_count": 46,
           "metadata": {},
-          "output_type": "execute_result"
+          "execution_count": 5
         }
       ],
       "source": [
@@ -896,27 +835,27 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 6,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
-          "height": 280
+          "height": 279
         },
         "id": "rCTaJreri9ke",
-        "outputId": "3e851d0d-0eb0-4312-fe7e-dc6bd981a778"
+        "outputId": "7e782d05-07d7-44bb-9b97-5969e00900a5"
       },
       "outputs": [
         {
+          "output_type": "display_data",
           "data": {
-            "image/png": 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",
             "text/plain": [
               "<Figure size 432x288 with 1 Axes>"
-            ]
+            ],
+            "image/png": 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\n"
           },
           "metadata": {
             "needs_background": "light"
-          },
-          "output_type": "display_data"
+          }
         }
       ],
       "source": [
@@ -926,27 +865,27 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 7,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
           "height": 279
         },
         "id": "QtT18v6ElmwL",
-        "outputId": "d84cb317-b680-453e-9a7a-392a90aeb93f"
+        "outputId": "63fb4833-4ccb-4ce9-9fd5-4d0f23df8e6f"
       },
       "outputs": [
         {
+          "output_type": "display_data",
           "data": {
-            "image/png": 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",
             "text/plain": [
               "<Figure size 432x288 with 1 Axes>"
-            ]
+            ],
+            "image/png": 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\n"
           },
           "metadata": {
             "needs_background": "light"
-          },
-          "output_type": "display_data"
+          }
         }
       ],
       "source": [
@@ -956,27 +895,27 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 8,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
           "height": 290
         },
         "id": "fuCOaerRn2EV",
-        "outputId": "c2cc3db4-b5b3-417c-f943-89587b8c5b0c"
+        "outputId": "51e206f2-aa22-44a9-d24c-7a5c0f1f74e4"
       },
       "outputs": [
         {
+          "output_type": "display_data",
           "data": {
-            "image/png": 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",
             "text/plain": [
               "<Figure size 432x288 with 1 Axes>"
-            ]
+            ],
+            "image/png": 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\n"
           },
           "metadata": {
             "needs_background": "light"
-          },
-          "output_type": "display_data"
+          }
         }
       ],
       "source": [