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@sanjaymalladi
Created March 6, 2024 06:16
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Heat Equation XDE.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/sanjaymalladi/8f587b775ab9d94870c870505b4d60bc/heat-equation-xde.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "iNcNu5raidVt"
},
"source": [
"**FDM Numerical Solution ID Heat Equation**"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "SvJ6IZJain_J"
},
"source": [
"The heat equation is a partial differential equation that describes how the temperature of a physical system changes over time. It is typically written as:"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RA1jR4oQjQB5"
},
"source": [
"![image_2024-02-09_163727756.png](data:image/png;base64,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)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "oVQDjrISZPYP",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "2a245edb-2ed3-43c4-d986-1b11c1a7b5a3"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Collecting deepxde\n",
" Downloading DeepXDE-1.11.0-py3-none-any.whl (179 kB)\n",
"\u001b[?25l \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m0.0/179.8 kB\u001b[0m \u001b[31m?\u001b[0m eta \u001b[36m-:--:--\u001b[0m\r\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m179.8/179.8 kB\u001b[0m \u001b[31m5.3 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[?25hRequirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (from deepxde) (3.7.1)\n",
"Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from deepxde) (1.25.2)\n",
"Requirement already satisfied: scikit-learn in /usr/local/lib/python3.10/dist-packages (from deepxde) (1.2.2)\n",
"Collecting scikit-optimize>=0.9.0 (from deepxde)\n",
" Downloading scikit_optimize-0.9.0-py2.py3-none-any.whl (100 kB)\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m100.3/100.3 kB\u001b[0m \u001b[31m10.0 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[?25hRequirement already satisfied: scipy in /usr/local/lib/python3.10/dist-packages (from deepxde) (1.11.4)\n",
"Requirement already satisfied: joblib>=0.11 in /usr/local/lib/python3.10/dist-packages (from scikit-optimize>=0.9.0->deepxde) (1.3.2)\n",
"Collecting pyaml>=16.9 (from scikit-optimize>=0.9.0->deepxde)\n",
" Downloading pyaml-23.12.0-py3-none-any.whl (23 kB)\n",
"Requirement already satisfied: threadpoolctl>=2.0.0 in /usr/local/lib/python3.10/dist-packages (from scikit-learn->deepxde) (3.3.0)\n",
"Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->deepxde) (1.2.0)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib->deepxde) (0.12.1)\n",
"Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->deepxde) (4.49.0)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->deepxde) (1.4.5)\n",
"Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->deepxde) (23.2)\n",
"Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->deepxde) (9.4.0)\n",
"Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->deepxde) (3.1.1)\n",
"Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib->deepxde) (2.8.2)\n",
"Requirement already satisfied: PyYAML in /usr/local/lib/python3.10/dist-packages (from pyaml>=16.9->scikit-optimize>=0.9.0->deepxde) (6.0.1)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib->deepxde) (1.16.0)\n",
"Installing collected packages: pyaml, scikit-optimize, deepxde\n",
"Successfully installed deepxde-1.11.0 pyaml-23.12.0 scikit-optimize-0.9.0\n"
]
}
],
"source": [
"!pip install deepxde"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "oMUs-NgmST5K",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "87262034-23c1-4965-c432-5e6d4c6aebe9"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"No backend selected.\n",
"Finding available backend...\n"
]
},
{
"output_type": "stream",
"name": "stderr",
"text": [
"Using backend: tensorflow.compat.v1\n",
"Other supported backends: tensorflow, pytorch, jax, paddle.\n",
"paddle supports more examples now and is recommended.\n",
"WARNING:tensorflow:From /usr/local/lib/python3.10/dist-packages/tensorflow/python/compat/v2_compat.py:108: disable_resource_variables (from tensorflow.python.ops.variable_scope) is deprecated and will be removed in a future version.\n",
"Instructions for updating:\n",
"non-resource variables are not supported in the long term\n"
]
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Found tensorflow.compat.v1\n",
"Setting the default backend to \"tensorflow.compat.v1\". You can change it in the ~/.deepxde/config.json file or export the DDE_BACKEND environment variable. Valid options are: tensorflow.compat.v1, tensorflow, pytorch, jax, paddle (all lowercase)\n"
]
}
],
"source": [
"import deepxde as dde\n",
"from deepxde.backend import tf\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "TcgWIe6QZHtf"
},
"outputs": [],
"source": [
"k = 0.4 #fusion co-efficent\n",
"L = 1 # limit of x\n",
"n = 1# limit of t"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "5oWrOyTvZhWI"
},
"outputs": [],
"source": [
"geom = dde.geometry.Interval(0,L)\n",
"timedomain = dde.geometry.TimeDomain(0,n)\n",
"geomtime = dde.geometry.GeometryXTime(geom, timedomain)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "j4S36J4RRsgE"
},
"outputs": [],
"source": [
"def pde(x, u):\n",
" du_t = tf.gradients(u, x)[0][:, 0]\n",
" du_xx = tf.gradients(tf.gradients(u, x)[0][:, 0], x)[0][:, 0]\n",
" return du_t - k * du_xx"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "DnoO3Xxoo6ZF"
},
"outputs": [],
"source": [
"#bc = Boundary Condition\n",
"bc = dde.icbc.DirichletBC(geomtime, lambda x: 2*x[:, 0:1], lambda _, on_boundary: on_boundary)\n",
"ic = dde.icbc.IC(\n",
" geomtime,\n",
" lambda x: np.sin(n * np.pi * x[:, 0:1]/L),\n",
" lambda _, on_intial: on_intial,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "biAxHyMOYUJ6",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "06a92869-69d0-4105-99b0-9146d60c3b26"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Warning: 2540 points required, but 2550 points sampled.\n"
]
}
],
"source": [
"data = dde.data.TimePDE(\n",
" geomtime,\n",
" pde,\n",
" [bc,ic],\n",
" num_domain=2540,\n",
" num_boundary=80,\n",
" num_initial=160,\n",
" num_test=2540,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "eUR_R3TOgOTe"
},
"outputs": [],
"source": [
"net = dde.nn.FNN([2] + [50] * 3 + [3], \"tanh\", \"Glorot normal\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "ltznpzzxgjS_",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "20361cb4-fb92-4174-96f3-0d5b7e035f78"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Compiling model...\n",
"Building feed-forward neural network...\n",
"'build' took 0.119370 s\n",
"\n"
]
},
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.10/dist-packages/deepxde/nn/tensorflow_compat_v1/fnn.py:116: UserWarning: `tf.layers.dense` is deprecated and will be removed in a future version. Please use `tf.keras.layers.Dense` instead.\n",
" return tf.layers.dense(\n"
]
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"'compile' took 0.865642 s\n",
"\n"
]
}
],
"source": [
"model = dde.Model(data, net)\n",
"model.compile(\"adam\",lr=1e-3)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "gEjPfeLxg4G2",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "d777694d-0dcf-4021-e614-8119e8d9ad3f"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Training model...\n",
"\n",
"Step Train loss Test loss Test metric\n",
"0 [8.05e-01, 1.33e+00, 3.15e-01] [8.00e-01, 1.33e+00, 3.15e-01] [] \n",
"1000 [1.15e-04, 4.75e-03, 4.42e-04] [9.20e-05, 4.75e-03, 4.42e-04] [] \n",
"2000 [4.96e-05, 4.05e-04, 3.32e-05] [4.84e-05, 4.05e-04, 3.32e-05] [] \n",
"3000 [2.01e-05, 1.46e-04, 2.16e-05] [1.94e-05, 1.46e-04, 2.16e-05] [] \n",
"4000 [1.00e-05, 7.11e-05, 1.35e-05] [9.75e-06, 7.11e-05, 1.35e-05] [] \n",
"5000 [5.92e-06, 3.91e-05, 1.29e-05] [5.68e-06, 3.91e-05, 1.29e-05] [] \n",
"6000 [3.33e-06, 2.37e-05, 1.16e-05] [3.07e-06, 2.37e-05, 1.16e-05] [] \n",
"7000 [1.80e-06, 1.64e-05, 1.07e-05] [1.61e-06, 1.64e-05, 1.07e-05] [] \n",
"8000 [4.24e-06, 1.29e-05, 3.15e-05] [3.74e-06, 1.29e-05, 3.15e-05] [] \n",
"9000 [8.47e-07, 1.01e-05, 8.51e-06] [7.43e-07, 1.01e-05, 8.51e-06] [] \n",
"10000 [7.11e-07, 8.36e-06, 1.22e-05] [6.07e-07, 8.36e-06, 1.22e-05] [] \n",
"11000 [2.96e-04, 2.66e-05, 4.08e-04] [2.81e-04, 2.66e-05, 4.08e-04] [] \n",
"12000 [5.38e-07, 5.44e-06, 5.18e-06] [4.59e-07, 5.44e-06, 5.18e-06] [] \n",
"13000 [6.74e-07, 5.28e-06, 5.37e-06] [5.76e-07, 5.28e-06, 5.37e-06] [] \n",
"14000 [1.05e-06, 1.42e-05, 2.51e-05] [9.16e-07, 1.42e-05, 2.51e-05] [] \n",
"15000 [2.52e-06, 4.37e-06, 3.87e-05] [2.19e-06, 4.37e-06, 3.87e-05] [] \n",
"\n",
"Best model at step 12000:\n",
" train loss: 1.12e-05\n",
" test loss: 1.11e-05\n",
" test metric: []\n",
"\n",
"'train' took 447.066016 s\n",
"\n"
]
}
],
"source": [
"losshistory, train_state = model.train(iterations=15000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "z2micNulhivW",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "eb89440b-6bc1-4464-c5b6-29bf74df6030"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Compiling model...\n",
"'compile' took 0.430397 s\n",
"\n",
"Training model...\n",
"\n",
"Step Train loss Test loss Test metric\n",
"15000 [2.52e-06, 4.37e-06, 3.87e-05] [2.19e-06, 4.37e-06, 3.87e-05] [] \n",
"15132 [4.83e-07, 3.53e-06, 2.09e-06] [3.65e-07, 3.53e-06, 2.09e-06] [] \n",
"\n",
"Best model at step 15132:\n",
" train loss: 6.11e-06\n",
" test loss: 5.99e-06\n",
" test metric: []\n",
"\n",
"'train' took 4.950435 s\n",
"\n"
]
}
],
"source": [
"model.compile(\"L-BFGS-B\")\n",
"losshistory, train_state=model.train()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "dtFMPCN0h5nX",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "425ae50d-9a3f-4a64-d49d-66d8f46b3940"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Saving loss history to /content/loss.dat ...\n",
"Saving training data to /content/train.dat ...\n",
"Saving test data to /content/test.dat ...\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"dde.saveplot(losshistory, train_state, issave=True, isplot=True)"
]
},
{
"cell_type": "code",
"source": [
"x = np.linspace(-5, 5, 10)\n",
"y = np.linspace(-5, 5, 10)\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = np.sin(np.sqrt(X**2 + Y**2)) # Example Z data representing magnitude\n",
"\n",
"# Create the contour plot\n",
"plt.contour(X, Y, Z, levels=np.linspace(-1, 1, 10), cmap='viridis')\n",
"plt.colorbar(label='Magnitude')\n",
"\n",
"# Calculate the direction (gradient) of the flow\n",
"U = -np.gradient(Z, axis=0) # Direction of flow in X\n",
"V = np.gradient(Z, axis=1) # Direction of flow in Y\n",
"\n",
"# Normalize the arrows\n",
"M = np.hypot(U, V)\n",
"U /= M\n",
"V /= M\n",
"\n",
"# Plot the vector arrows\n",
"plt.quiver(X, Y, U, V, M, cmap='viridis', scale=20)\n",
"\n",
"plt.title('Contour Plot with Flow Direction')\n",
"plt.xlabel('X')\n",
"plt.ylabel('Y')\n",
"plt.show()"
],
"metadata": {
"id": "MAbHXir2UoxL",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 472
},
"outputId": "9dd467bb-1306-45af-fb47-a3362da9bd07"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Define the analytical solution\n",
"def analytical_solution(x, t):\n",
" return np.sin(n * np.pi * x / L) * np.exp(-k * (n * np.pi / L) ** 2 * t)\n",
"\n",
"# Generate points for comparison\n",
"x_points = np.linspace(0, L, 100)\n",
"t_points = np.linspace(0, n, 100)\n",
"X_analytical, T_analytical = np.meshgrid(x_points, t_points)\n",
"analytical_values = analytical_solution(X_analytical, T_analytical)\n",
"\n",
"# Plot the analytical solution\n",
"plt.figure(figsize=(10, 6))\n",
"plt.contourf(X_analytical, T_analytical, analytical_values, cmap='viridis')\n",
"plt.colorbar()\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"t\")\n",
"plt.title(\"Analytical Solution of the Heat Equation\")\n",
"plt.show()"
],
"metadata": {
"id": "xyS2U_CrHctr",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 564
},
"outputId": "c326e27b-a06a-4597-ff27-8d42e65e3fb1"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x600 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Example analytical solution function\n",
"def analytical_solution(x, t):\n",
" # Replace this with your actual analytical solution\n",
" return np.sin(n * np.pi * x / L) * np.exp(-k * (n * np.pi / L) ** 2 * t)\n",
"\n",
"# Generate points for comparison\n",
"x_points = np.linspace(0, 1, 100) # Adjust the range as needed\n",
"t_points = np.linspace(0, 1, 100) # Adjust the range as needed\n",
"X, T = np.meshgrid(x_points, t_points)\n",
"\n",
"# Compute the analytical solution\n",
"analytical_values = analytical_solution(X, T)\n",
"\n",
"# Evaluate the PINN solution\n",
"# Assuming `model` is your trained PINN model\n",
"# and `geom.uniform_points(2540)` is used to generate the points\n",
"# Adjust this part based on how you generated the points for your PINN model\n",
"X_pinn = np.hstack((X_spatial_flat, X_time_flat))\n",
"y_pinn = model.predict(X_pinn)\n",
"# Reshape y_pinn to match the shape of analytical_values\n",
"y_pinn_reshaped = y_pinn.reshape((100, 100, 2))\n",
"print(\"Shape of y_pinn:\", y_pinn.shape)\n",
"\n",
"# Calculate the difference and percentage\n",
"difference = np.abs(y_pinn_reshaped - analytical_values)\n",
"difference_percentage = (difference / np.abs(analytical_values)) * 100\n",
"\n",
"# Average the difference percentage\n",
"average_difference_percentage = np.mean(difference_percentage)\n",
"\n",
"print(f\"Average Difference Percentage: {average_difference_percentage}%\")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 211
},
"id": "0Osm4Hb2rYMt",
"outputId": "8cb2e2e1-7c7b-4109-e9c3-5967679eb21c"
},
"execution_count": null,
"outputs": [
{
"output_type": "error",
"ename": "NameError",
"evalue": "name 'X_spatial_flat' is not defined",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-16-c3302fcd0079>\u001b[0m in \u001b[0;36m<cell line: 21>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 19\u001b[0m \u001b[0;31m# and `geom.uniform_points(2540)` is used to generate the points\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 20\u001b[0m \u001b[0;31m# Adjust this part based on how you generated the points for your PINN model\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 21\u001b[0;31m \u001b[0mX_pinn\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhstack\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_spatial_flat\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mX_time_flat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 22\u001b[0m \u001b[0my_pinn\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_pinn\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 23\u001b[0m \u001b[0;31m# Reshape y_pinn to match the shape of analytical_values\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'X_spatial_flat' is not defined"
]
}
]
}
],
"metadata": {
"colab": {
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
},
"language_info": {
"name": "python"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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