{ "cells": [ { "cell_type": "markdown", "id": "de335658-0562-4908-924d-2cf380f503b8", "metadata": {}, "source": [ "# Curse of Dimensionality I: Position of the Problem\n" ] }, { "cell_type": "markdown", "id": "86b31054-56a2-477b-aedc-c5ccedb1ba18", "metadata": {}, "source": [ "Here is a function that depends on time $t$ and 3 other parameters. \n", "\n", "In this example class we generate many samples of the function and \n", "then try to build an interpolator that approximates this function as accurately as possible.\n", "\n", "You can think of this function as a time series that depends on paramaters $a,b,c$.\n", "\n", "In this problem class, we will assume the ranges of the parameters are:\n", "\n", "- $0" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def f(t, a, b, c):\n", " return np.sqrt(a) * np.exp(-b * t) * np.sin(c * t) + 0.5 * np.cos(2 * t)\n", "\n", "# Example usage\n", "# Define parameters\n", "a = 0.1\n", "b = -0.13\n", "c = 9\n", "\n", "\n", "# Define time range\n", "t = np.linspace(0, 1, 100) # time from 0 to 1 with 100 points\n", "\n", "# Calculate f(t) for these parameters\n", "f_values = f(t, a, b, c)\n", "\n", "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(t, f_values, label=r'$f(t; a, b, c)$', color='blue')\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'$f(t)$')\n", "plt.title(r'Time Series $f(t; a, b, c)$')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "8b3af2bd-b0d6-4ab9-8056-fa532dda34cb", "metadata": {}, "source": [ "You can make a widget plot and play with different parameter values. " ] }, { "cell_type": "code", "execution_count": 20, "id": "81e2fd46-55dc-44de-b4ef-61f99d17a274", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9cf437d970454350a634bd244ad995b2", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.1, description='a', max=1.0, step=0.01), FloatSlider(value=-0.13, de…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interactive\n", "import ipywidgets as widgets\n", "\n", "\n", "def plot_with_parameters(a, b, c):\n", " # Define time range\n", " t = np.linspace(0, 1, 100)\n", " \n", " # Calculate f(t) for these parameters \n", " f_values = f(t, a, b, c)\n", " \n", " # Plot the function\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(t, f_values, label=r'$f(t; a, b, c)$', color='blue')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'$f(t)$')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.legend()\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Create interactive widget\n", "interactive_plot = interactive(\n", " plot_with_parameters,\n", " a=widgets.FloatSlider(min=0, max=1, step=0.01, value=0.1),\n", " b=widgets.FloatSlider(min=-0.5, max=0.5, step=0.01, value=-0.13),\n", " c=widgets.FloatSlider(min=5, max=10, step=0.1, value=9)\n", ")\n", "\n", "display(interactive_plot)" ] }, { "cell_type": "markdown", "id": "6558b71b", "metadata": {}, "source": [ "The goal of this problem class is to sample this function across all its parameter space and create interpolators. \n", "\n", "You should aim to understand the limitations of interpolation and how to deal with this very important problem. " ] }, { "cell_type": "markdown", "id": "604fa6a0-ce1f-43f6-99ac-2380affdc574", "metadata": {}, "source": [ "## Question 1\n", "\n", "Consider all parameter values (except $t$) are fixed and create an interpolator with respect to time $t$. \n", "\n", "You use the original grid for the interpolation. " ] }, { "cell_type": "code", "execution_count": 21, "id": "99c11f18", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 1, 100)" ] }, { "cell_type": "markdown", "id": "e7462b70-505e-42be-9bbd-f619ecf93086", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 22, "id": "f5ad1cf9-28f0-439b-8efe-4aca06645cd9", "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import interp1d\n", "\n", "# Define time points and corresponding function values for a specific `a`\n", "x = t # Time points, assumed to be defined previously\n", "\n", "y = f_values # Function values at each time point `t` for a fixed `a`\n", "\n", "# Create the interpolator function with respect to time `t`\n", "F_interp_t = interp1d(x, y, kind='linear', fill_value=\"extrapolate\")" ] }, { "cell_type": "markdown", "id": "9270b5ba-a43e-4100-8347-306ef72a01b5", "metadata": {}, "source": [ "## Question 2\n", "\n", "Evaluate the interpolator on a much finer grid than the original $t$ grid. " ] }, { "cell_type": "markdown", "id": "8839e7db-bb88-4ec8-97ad-5ae9e40b7a61", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 23, "id": "3298b19b-daf7-4532-b18e-1ef4c0dfa353", "metadata": {}, "outputs": [], "source": [ "# Now you can use `F_interp_t` to interpolate the function at any time `t_new`\n", "# Example:\n", "t_new = np.linspace(0, 1, 1001) # An example time point within the range\n", "f_value_at_t_new = F_interp_t(t_new) # Interpolated value at t_new" ] }, { "cell_type": "markdown", "id": "9df6c2f1-b6ac-41f5-b3ee-3c8b396c501e", "metadata": {}, "source": [ "## Question 3\n", "\n", "Show the results of question 2 in a plot, showing both the exact function and the predictions of the interpolator. " ] }, { "cell_type": "markdown", "id": "9badaf7e-2380-4ff8-8d44-88af07bd7d1f", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 24, "id": "efefdc3c-1b63-4abb-b2cd-86290b781907", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(t, f_values, label=r'$f(t; a, b, c, d, e)$', color='blue')\n", "plt.plot(t_new, f_value_at_t_new, label=r'$F_{interp}$', color='red',ls='--')\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'$f(t)$')\n", "plt.title(r'Time Series $f(t; a, b, c, d, e)$')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "85856646-0a9c-4c07-89b1-f8cb6f154294", "metadata": {}, "source": [ "## Question 4\n", "\n", "Show the ratio of the interpolated values to true values accross the fine time grid. \n", "\n", "What do you observe? Does it make sense?\n" ] }, { "cell_type": "markdown", "id": "b7fe2eee-38ff-4b04-a31c-4a52b16cca06", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 25, "id": "5213cd30-28a0-4dbb-8eef-333fc938d953", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "\n", "r = 100*(f_value_at_t_new-f(t_new, a, b, c))/f(t_new, a, b, c)\n", "plt.plot(t_new, r)\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'relativ diff in %')\n", "\n", "plt.ylim(1,-1)\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f6366aae-fb92-44c0-bc64-ebc57c669128", "metadata": {}, "source": [ "## Question 5" ] }, { "cell_type": "markdown", "id": "dc6f8036-5092-40f3-86e6-dcef18a36821", "metadata": {}, "source": [ "Consider now all paramaters fixed except $a$ (and $t$). \n", "\n", "We assume the parameter $a$ can take values between 0 and 1.\n", "\n", "Generate 10 samples of $f$ (i.e., 10 time series) corresponding to linearly spaced values of $a$ spanning the interval.\n", "\n", "Store them in a `pandas` DataFrame and plot them with the `plot` method of the DataFrame. \n" ] }, { "cell_type": "markdown", "id": "c92b88e6-a605-4bb0-84ef-ac23a4e0296d", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 12, "id": "9ace8f4c-1547-4024-b109-63171dc11653", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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0.0303030.4990820.5892230.6265600.6552100.6793630.7006430.7198810.7375720.7540380.769504
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.................................
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0.969697-0.1801540.0627140.1633130.2405050.3055810.3629140.4147470.4624130.5067790.548448
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1.000000-0.208073-0.0516290.0131720.0628960.1048150.1417460.1751350.2058390.2344170.261259
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100 rows × 10 columns

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" ], "text/plain": [ " 1 2 3 4 5 6 \\\n", "0.000000 0.500000 0.500000 0.500000 0.500000 0.500000 0.500000 \n", "0.010101 0.499898 0.530199 0.542750 0.552381 0.560500 0.567653 \n", "0.020202 0.499592 0.560023 0.585055 0.604262 0.620454 0.634720 \n", "0.030303 0.499082 0.589223 0.626560 0.655210 0.679363 0.700643 \n", "0.040404 0.498368 0.617551 0.666918 0.704799 0.736734 0.764869 \n", "... ... ... ... ... ... ... \n", "0.959596 -0.170695 0.097127 0.208063 0.293187 0.364950 0.428174 \n", "0.969697 -0.180154 0.062714 0.163313 0.240505 0.305581 0.362914 \n", "0.979798 -0.189539 0.026299 0.115702 0.184303 0.242137 0.293089 \n", "0.989899 -0.198847 -0.011895 0.065544 0.124964 0.175058 0.219191 \n", "1.000000 -0.208073 -0.051629 0.013172 0.062896 0.104815 0.141746 \n", "\n", " 7 8 9 10 \n", "0.000000 0.500000 0.500000 0.500000 0.500000 \n", "0.010101 0.574120 0.580067 0.585602 0.590801 \n", "0.020202 0.647618 0.659478 0.670517 0.680886 \n", "0.030303 0.719881 0.737572 0.754038 0.769504 \n", "0.040404 0.790305 0.813696 0.835468 0.855917 \n", "... ... ... ... ... \n", "0.959596 0.485333 0.537896 0.586821 0.632772 \n", "0.969697 0.414747 0.462413 0.506779 0.548448 \n", "0.979798 0.339154 0.381515 0.420943 0.457975 \n", "0.989899 0.259091 0.295782 0.329934 0.362010 \n", "1.000000 0.175135 0.205839 0.234417 0.261259 \n", "\n", "[100 rows x 10 columns]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "\n", "# Generate 10 linearly spaced values of `a` from 0. to 1.0\n", "a_values = np.linspace(0., 1.0, 10)\n", "\n", "# Generate samples and store them in a DataFrame with labels from 1 to 10\n", "f_samples_labeled = {str(i+1): f(t, a, b, c) for i, a in enumerate(a_values)}\n", "f_samples_labeled_df = pd.DataFrame(f_samples_labeled, index=t)\n", "f_samples_labeled_df" ] }, { "cell_type": "code", "execution_count": 13, "id": "9a2e50f2-386d-469a-ad55-5b65a2e8549d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f_samples_labeled_df.plot(legend=True)" ] }, { "cell_type": "markdown", "id": "e06fb7ea-a0a1-4be3-8d87-050e0b23194d", "metadata": {}, "source": [ "## Question 6 \n", "\n", "Create an interpolator that interpolates over $a$ (same range as previous question) and returns the full time series (i.e., values of $f$ for all time points) over the original time grid, i.e., $t$. " ] }, { "cell_type": "code", "execution_count": 14, "id": "d29a9b69", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 1, 100)" ] }, { "cell_type": "markdown", "id": "f912b872-8018-41b6-890d-d90adb708aba", "metadata": {}, "source": [ "Plot the result for $a=0.125$, like in question 3.\n", "\n", "Plot the ratio, like in question 4. " ] }, { "cell_type": "markdown", "id": "bb82a1e5-14da-4ba5-ad52-9e85281dc6d7", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 15, "id": "880f435d-41f6-4580-bfe9-b0f5f48e9c94", "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import RegularGridInterpolator\n", "\n", "# Convert the DataFrame to a 2D NumPy array with shape (len(t), len(a_values))\n", "f_values_matrix = f_samples_labeled_df.values # Shape: (100, 10) in this example\n", "\n", "# Create an interpolator across `a` and `t`\n", "interpolator = RegularGridInterpolator((t, a_values), f_values_matrix, method=\"linear\", bounds_error=False, fill_value=None)\n", "\n", "# Define a function that interpolates over a new `a` value\n", "def interpolate_f_over_a(new_a):\n", " # Create a mesh of (time, new_a) points\n", " query_points = np.array([(time, new_a) for time in t])\n", " \n", " # Interpolate at all time points for the given new `a`\n", " return interpolator(query_points)" ] }, { "cell_type": "code", "execution_count": 16, "id": "dbd6e638-55ab-4d3d-98e7-79941dcfaf50", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ap = 0.125\n", "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(t, f(t, ap, b, c), label=r'$f(t; a, b, c, d, e)$', color='blue')\n", "plt.plot(t, interpolate_f_over_a(ap), label=r'F_interp_t', color='red',ls='--')\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'$f(t)$')\n", "plt.title(r'Time Series $f(t; a, b, c)$')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "id": "d049af28-65e1-4277-bb84-74b49379516a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "r = 100*(interpolate_f_over_a(ap)/f(t, ap, b, c) - 1 )\n", "plt.plot(t,r)\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'rel diff %')\n", "plt.title(r'Time Series $f(t; a, b, c)$')\n", "plt.grid(True)\n", "plt.ylim(-4.,4.)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "613756ba-3f12-4f5b-925b-2cb633b5b612", "metadata": {}, "source": [ "## Question 7\n", "\n", "Use `widgets` from `ipywidgets` to create a sliding scale of `a` values. \n", "\n", "In this question, you should plot the ratio between the interpolated values and the true values of the function evaluated at the original time grid $t$. \n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "41d82171-9543-4b75-9974-51e41c089343", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 18, "id": "03e63944-76bb-4dcf-9876-a9a068258adb", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0c82e6b52e794afea4014719d52a75e0", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.145, description='ap', max=1.0, step=0.001), Output()), _dom_classes…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from ipywidgets import interact, FloatSlider\n", "import ipywidgets as widgets\n", "\n", "# Define the slider function to update the plot\n", "def plot_interpolated_relative_difference(ap):\n", " # Calculate the relative difference\n", " r = 100 * (interpolate_f_over_a(ap) / f(t, ap, b, c) - 1.)\n", " \n", " # Plot the relative difference\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(t, r)\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'Relative Difference %')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.ylim(-10,10)\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define the slider for `ap`\n", "ap_slider = FloatSlider(value=0.145, min=0., max=1.0, step=0.001, description='ap')\n", "\n", "# Use `interact` to create the interactive plot\n", "interact(plot_interpolated_relative_difference, ap=ap_slider)" ] }, { "cell_type": "markdown", "id": "860d0db9", "metadata": {}, "source": [ "## Question 8\n", "\n", "From your results of Question 7, what do you observe? Does it make sense?\n" ] }, { "cell_type": "markdown", "id": "e5fa2c08-6176-4fb6-815f-d88d14076bcb", "metadata": {}, "source": [ "### Solution\n", "\n", "The interpolation is now less accurate as we interpolate over a, in addition to t! All makes sense. " ] }, { "cell_type": "markdown", "id": "275f4c66-db29-416c-b349-f1d50bd9d8d6", "metadata": {}, "source": [ "## Question 9 \n", "\n", "We will now consider both $a$ and $b$ as interpolation parameters. \n", "\n", "\n", "Our interpolator should therefore interpolate accross both $a$ and $b$ ranges. \n", "\n", "Generate $10^2$ parameter value pairs $(a,b)$ in the range $0 \u001b[0m\u001b[32;49m25.3\u001b[0m\n", "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n" ] } ], "source": [ "!pip install pyDOE" ] }, { "cell_type": "code", "execution_count": 36, "id": "57a2d706-431c-421d-9075-ee4d7005e5c1", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from scipy.interpolate import RegularGridInterpolator\n", "from pyDOE import lhs # For Latin Hypercube Sampling\n", "\n", "# Define the ranges for `a`, `b`, and `t`\n", "t = np.linspace(0, 1, 100) # Time range with 100 points\n", "a_range = (0., 1.0)\n", "b_range = (-0.5, 0.5)\n", "\n", "# Generate Latin Hypercube samples for `a` and `b`\n", "n_samples = 100 # Define the number of samples for each parameter\n", "lhs_samples = lhs(2, samples=n_samples) # Latin Hypercube sampling in 2D\n", "\n", "\n", "\n", "# Scale the samples to the range of `a` and `b`\n", "a_values = a_range[0] + lhs_samples[:, 0] * (a_range[1] - a_range[0])\n", "b_values = b_range[0] + lhs_samples[:, 1] * (b_range[1] - b_range[0])" ] }, { "cell_type": "code", "execution_count": 37, "id": "df164dff-b15e-431c-9122-fd6c75ba749f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the Latin Hypercube samples as a 2D scatter plot\n", "plt.figure(figsize=(8, 6))\n", "plt.scatter(a_values, b_values, alpha=0.7)\n", "plt.xlabel(\"Parameter a\")\n", "plt.ylabel(\"Parameter b\")\n", "plt.title(\"Latin Hypercube Sampling for Parameters a and b\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "dc664e09-08ba-420d-9087-b611d8e700e5", "metadata": {}, "source": [ "## Question 10\n", "\n", "For comparison, on the same plot, add a uniformly sampled realization of $10^2$ $a$ and $b$ values.\n" ] }, { "cell_type": "markdown", "id": "3f93d43d-7631-46d0-99db-aa5a513589f9", "metadata": {}, "source": [ "Can you distinguish by eye? \n", "\n", "As an extension question, think of how you would proceed if \n", "you needed to prove that these samples come from different generative processes (uniform or Latin Hyper Cube). " ] }, { "cell_type": "markdown", "id": "91d36ac8-27d2-4e04-b0f0-07e270e07364", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 38, "id": "06e92bc0-b4ef-4bd8-8d83-b2b37c59ab14", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate uniformly sampled values for `a` and `b`\n", "ua_values = np.random.uniform(a_range[0], a_range[1], n_samples)\n", "ub_values = np.random.uniform(b_range[0], b_range[1], n_samples)\n", "\n", "# Plot the Latin Hypercube samples as a 2D scatter plot\n", "plt.figure(figsize=(8, 6))\n", "plt.scatter(a_values, b_values, alpha=0.7)\n", "plt.scatter(ua_values, ub_values, alpha=0.7,c='r')\n", "plt.xlabel(\"Parameter a\")\n", "plt.ylabel(\"Parameter b\")\n", "plt.title(\"Latin Hypercube Sampling for Parameters a and b\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5649d3fc-5c5a-48d5-b1b8-17a5a075f29e", "metadata": {}, "source": [ "## Question 11\n", "\n", "\n", "Create the interpolator over the parameter space $(a,b)$, interpolating over samples of the function evaluated at the original time grid $t$.\n", "\n", "As you will realise, we are dealing with an irregular grid and need the `griddata` method ([doc](https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.griddata.html)). " ] }, { "cell_type": "markdown", "id": "4693a063-0eb0-465c-9e95-f24407736350", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 39, "id": "6c45d399-0b74-4983-ad05-22a92d11b3c7", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 1, 100) # Time range with 100 points, always fixed\n", "\n", "from scipy.interpolate import griddata\n", "# Generate function samples for each (a, b) pair over time `t`\n", "# Create lists to hold points and values for interpolation\n", "points = [] # Will store (t, a, b) tuples\n", "values = [] # Will store corresponding f(t, a, b, c) values\n", "\n", "for a, b in zip(a_values, b_values):\n", " for time in t:\n", " points.append((time, a, b))\n", " values.append(f(time, a, b, c)) # Replace `f` with your actual function definition\n", "\n", "# Convert lists to NumPy arrays for griddata use\n", "points = np.array(points) # Shape: (len(t) * n_samples, 3)\n", "values = np.array(values) # Shape: (len(t) * n_samples,)\n", "\n", "# Define a function to interpolate over new values of `a` and `b` using griddata\n", "def interpolate_f_over_a_b(tgrid, new_a, new_b):\n", " # Create an array of (time, new_a, new_b) points to interpolate\n", " query_points = np.array([(time, new_a, new_b) for time in tgrid])\n", " \n", " # Use griddata to interpolate the function at the given points\n", " interpolated_values = griddata(points, values, query_points, method='linear')\n", " return interpolated_values\n", "\n" ] }, { "cell_type": "markdown", "id": "b4669ed0-b3e9-411a-9ec9-d0db11841597", "metadata": {}, "source": [ "## Question 12 \n", "\n", "Show results with a sliding scale plot for $a$ and $b$.\n", "\n", "On a different sliding bar plot, show the ratio between the interpolated values and the true values of the function evaluated at the original time grid $t$. " ] }, { "cell_type": "markdown", "id": "a2c3a46a", "metadata": {}, "source": [ "What do you observe? \n", "\n", "Does it make sense? " ] }, { "cell_type": "markdown", "id": "b8a99621-7906-49d9-93c3-c95efc09870e", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 40, "id": "2540ec71-00ed-4d94-aa57-ef94126450dd", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "47ff54ad9c4c48c593d5e92f56fa2090", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.125, description='a', max=1.0, step=0.01), FloatSlider(value=0.0, de…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ipywidgets import interact, FloatSlider\n", "import ipywidgets as widgets\n", "\n", "tn = np.linspace(0, 1, 100) \n", "\n", "# Define the interpolator function for dynamic plotting\n", "def plot_with_interpolated_values(ap, bp):\n", " # Original function values for given `a` and `b`\n", " original_values = f(tn, ap, bp, c) # Replace `f` with your actual function definition\n", " \n", " # Interpolated values for the given `a` and `b`\n", " # interpolated_values = interpolator([(time, ap, bp) for time in tn])\n", " interpolated_values = interpolate_f_over_a_b(tn, ap, bp)\n", " \n", " # Plot the results\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(tn, original_values, label=r'$f(t; a, b)$', color='blue',ls='None',marker='o')\n", " plt.plot(tn, interpolated_values, label=r'$F_{interp}(t)$', color='red', linestyle='None',marker='o')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'$f(t)$')\n", " plt.title(r'Time Series $f(t; a, b)$')\n", " plt.legend()\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define sliders for `a` and `b`\n", "a_slider = FloatSlider(value=0.125, min=0.0, max=1.0, step=0.01, description='a')\n", "b_slider = FloatSlider(value=0.0, min=-0.5, max=0.5, step=0.01, description='b')\n", "\n", "# Use `interact` to create the interactive plot\n", "interact(plot_with_interpolated_values, ap=a_slider, bp=b_slider)\n" ] }, { "cell_type": "code", "execution_count": 42, "id": "35aec21f-b5f3-4766-b3e1-cd48e798a403", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5cb48011091a4fe7a0b333b0eeb1969b", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.125, description='a', max=1.0, step=0.01), FloatSlider(value=0.0, de…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "# Define the interpolator function for dynamic plotting\n", "def plot_with_interpolated_values(ap, bp):\n", " # Original function values for given `a` and `b`\n", " original_values = f(tn, ap, bp, c) # Replace `f` with your actual function definition\n", " \n", " # Interpolated values for the given `a` and `b`\n", " interpolated_values = interpolate_f_over_a_b(tn, ap, bp)\n", " \n", " # Plot the results\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(tn, 100*(interpolated_values-original_values)/original_values, label=r'relative difference', color='red', linestyle='--')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'rel diff %')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.legend()\n", " plt.ylim(-2,2)\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define sliders for `a` and `b`\n", "a_slider = FloatSlider(value=0.125, min=0.0, max=1.0, step=0.01, description='a')\n", "b_slider = FloatSlider(value=0.0, min=-0.5, max=0.5, step=0.01, description='b')\n", "\n", "# Use `interact` to create the interactive plot\n", "interact(plot_with_interpolated_values, ap=a_slider, bp=b_slider)" ] }, { "cell_type": "markdown", "id": "8738db23-112c-4606-99e2-7f13e5995847", "metadata": {}, "source": [ "Interpolation is now even harder (memory, accurracy, compute time, etc) and much less accurate. We start to see the real effects of curse of dimensionality!" ] }, { "cell_type": "markdown", "id": "2780bf9c-2254-41bd-ba0e-30cd168f1036", "metadata": {}, "source": [ "## Question 13\n", "\n", "Compare memory and time of (i) the original function call and (ii) the interpolator call. \n", "\n", "Comment. " ] }, { "cell_type": "markdown", "id": "9587509c-c68a-4267-b2fd-b3fa38a81a1d", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 43, "id": "8d309f61-dd4e-43a5-8ce4-ba32a49fdb6e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original function call time (10 runs): 0.0001 seconds\n", "Interpolator call time (10 runs): 4.1033 seconds\n", "Original function call memory usage: 0.0027 MB\n", "Interpolator call memory usage: 10.8058 MB\n" ] } ], "source": [ "import numpy as np\n", "import tracemalloc\n", "import timeit\n", "\n", "# Define the time array `tn`\n", "tn = np.linspace(0, 1, 100) # Increase number of points for the test\n", "ap = 0.125 # Fixed values for parameters\n", "bp = 0.1\n", "c, d, e = 1.0, 1.0, 1.0 # Fixed parameters for `f`\n", "\n", "# Define a wrapper function to measure the original function call\n", "def original_function_call():\n", " return f(tn, ap, bp, c) # Replace `f` with your actual function definition\n", "\n", "# Define a wrapper function to measure the interpolator call\n", "def interpolator_call():\n", " return interpolate_f_over_a_b(tn, ap, bp)\n", "\n", "# Measure time\n", "time_original = timeit.timeit(original_function_call, number=10)\n", "time_interpolator = timeit.timeit(interpolator_call, number=10)\n", "\n", "# Measure memory using tracemalloc\n", "def measure_memory(func):\n", " tracemalloc.start()\n", " func() # Run the function to allocate memory\n", " current, peak = tracemalloc.get_traced_memory()\n", " tracemalloc.stop()\n", " return peak / (1024 * 1024) # Memory in MB\n", "\n", "memory_original = measure_memory(original_function_call)\n", "memory_interpolator = measure_memory(interpolator_call)\n", "\n", "# Print results\n", "print(f\"Original function call time (10 runs): {time_original:.4f} seconds\")\n", "print(f\"Interpolator call time (10 runs): {time_interpolator:.4f} seconds\")\n", "print(f\"Original function call memory usage: {memory_original:.4f} MB\")\n", "print(f\"Interpolator call memory usage: {memory_interpolator:.4f} MB\")" ] }, { "cell_type": "markdown", "id": "2f058985-9af3-42a4-aab0-c17ce0ac1806", "metadata": {}, "source": [ "Numbers make sense, with respect to what we explain about curse of dimensionality!" ] }, { "cell_type": "markdown", "id": "83be78d0-b133-4fe3-80a7-45c011f35688", "metadata": {}, "source": [ "## Question 14\n", "\n", "Add a third parameter, $c$ to our interpolation problem and repeat questions 9 to 13. \n", "\n", "For this parameter, use a range of $5" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "# Plot the Latin Hypercube samples in 3D\n", "fig = plt.figure(figsize=(10, 8))\n", "ax = fig.add_subplot(111, projection='3d')\n", "sc = ax.scatter(a_values, b_values, c_values, c=a_values, cmap='viridis', marker='o', alpha=0.7)\n", "\n", "# Set plot labels and title\n", "ax.set_xlabel('Parameter a')\n", "ax.set_ylabel('Parameter b')\n", "ax.set_zlabel('Parameter c')\n", "ax.set_title('3D Latin Hypercube Sampling for Parameters a, b, and c')" ] }, { "cell_type": "code", "execution_count": 46, "id": "6e25a16b-d0f9-4fd1-8dbc-aaaab0ff4743", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 1, 100) # Time range with 100 points, always fixed\n", "\n", "from scipy.interpolate import griddata\n", "# Generate function samples for each (a, b) pair over time `t`\n", "# Create lists to hold points and values for interpolation\n", "points = [] # Will store (t, a, b) tuples\n", "values = [] # Will store corresponding f(t, a, b, c, d, e) values\n", "\n", "for a, b, c in zip(a_values, b_values,c_values):\n", " for time in t:\n", " points.append((time, a, b, c))\n", " values.append(f(time, a, b, c)) # Replace `f` with your actual function definition\n", "\n", "# Convert lists to NumPy arrays for griddata use\n", "points = np.array(points) # Shape: (len(t) * n_samples, 3)\n", "values = np.array(values) # Shape: (len(t) * n_samples,)\n", "\n", "# Define a function to interpolate over new values of `a` and `b` using griddata\n", "def interpolate_f_over_a_b_c(tgrid, new_a, new_b, new_c):\n", " # Create an array of (time, new_a, new_b) points to interpolate\n", " query_points = np.array([(time, new_a, new_b, new_c) for time in tgrid])\n", " \n", " # Use griddata to interpolate the function at the given points\n", " interpolated_values = griddata(points, values, query_points, method='linear')\n", " return interpolated_values" ] }, { "cell_type": "code", "execution_count": 47, "id": "0e8bb9b2-9cce-4727-8705-b6218e3b8d18", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5b1097f4d3c64bd78638005665e3cb11", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.125, description='a', max=1.0, step=0.01), FloatSlider(value=0.0, de…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ipywidgets import interact, FloatSlider\n", "import ipywidgets as widgets\n", "\n", "tn = np.linspace(0, 1, 100) \n", "\n", "# Define the interpolator function for dynamic plotting\n", "def plot_with_interpolated_values(ap, bp, cp):\n", " # Original function values for given `a` and `b` and `c` \n", " original_values = f(tn, ap, bp, cp) # Replace `f` with your actual function definition\n", " \n", " # Interpolated values for the given `a` and `b` and `c` \n", " interpolated_values = interpolate_f_over_a_b_c(tn, ap, bp, cp)\n", " \n", " # Plot the results\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(tn, original_values, label=r'$f(t; a, b, c)$', color='blue', linestyle='None',marker='o')\n", " plt.plot(tn, interpolated_values, label=r'$F_{interp}(t)$', color='red', linestyle='None',marker='o')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'$f(t)$')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.legend()\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define sliders for `a` and `b`\n", "a_slider = FloatSlider(value=0.125, min=0.0, max=1.0, step=0.01, description='a')\n", "b_slider = FloatSlider(value=0.0, min=-0.5, max=0.5, step=0.01, description='b')\n", "c_slider = FloatSlider(value=6, min=5, max=10, step=0.01, description='c')\n", "# Use `interact` to create the interactive plot\n", "interact(plot_with_interpolated_values, ap=a_slider, bp=b_slider, cp=c_slider)" ] }, { "cell_type": "code", "execution_count": 49, "id": "1c37b8e6-7ae0-48c9-a7c0-0b3fbd98c978", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f3a6cad0b36d44308f08261cfa69e8ac", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.125, description='a', max=1.0, step=0.01), FloatSlider(value=0.0, de…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "# Define the interpolator function for dynamic plotting\n", "def plot_with_interpolated_values(ap, bp, cp):\n", " # Original function values for given `a` and `b`\n", " original_values = f(tn, ap, bp, cp) # Replace `f` with your actual function definition\n", " \n", " # Interpolated values for the given `a` and `b`\n", " interpolated_values = interpolate_f_over_a_b_c(tn, ap, bp, cp)\n", " \n", " # Plot the results\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(tn, 100*(interpolated_values-original_values)/original_values, label=r'relative difference', color='red', linestyle='--')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'rel diff %')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.legend()\n", " plt.ylim(-2,2)\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define sliders for `a` and `b`\n", "a_slider = FloatSlider(value=0.125, min=0.0, max=1.0, step=0.01, description='a')\n", "b_slider = FloatSlider(value=0.0, min=-0.5, max=0.5, step=0.01, description='b')\n", "c_slider = FloatSlider(value=9, min=5, max=10, step=0.01, description='c')\n", "# Use `interact` to create the interactive plot\n", "interact(plot_with_interpolated_values, ap=a_slider, bp=b_slider, cp=c_slider)" ] }, { "cell_type": "code", "execution_count": 50, "id": "130022b4-284e-4e76-a028-665b7cd859d2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original function call time (100 runs): 0.0027 seconds\n", "Interpolator call time (1 runs): 5.5318 seconds\n", "Original function call memory usage: 0.0027 MB\n", "Interpolator call memory usage: 65.6449 MB\n" ] } ], "source": [ "import numpy as np\n", "import tracemalloc\n", "import timeit\n", "\n", "# Define the time array `tn`\n", "tn = np.linspace(0, 1, 100) # Increase number of points for the test\n", "ap = 0.125 # Fixed values for parameters\n", "bp = 0.1\n", "cp = 9.\n", "d, e = 1.0, 1.0 # Fixed parameters for `f`\n", "\n", "# Define a wrapper function to measure the original function call\n", "def original_function_call():\n", " return f(tn, ap, bp, cp) # Replace `f` with your actual function definition\n", "\n", "# Define a wrapper function to measure the interpolator call\n", "def interpolator_call():\n", " return interpolate_f_over_a_b_c(tn, ap, bp, cp)\n", "\n", "# Measure time\n", "time_original = timeit.timeit(original_function_call, number=100)\n", "time_interpolator = timeit.timeit(interpolator_call, number=1)\n", "\n", "# Measure memory using tracemalloc\n", "def measure_memory(func):\n", " tracemalloc.start()\n", " func() # Run the function to allocate memory\n", " current, peak = tracemalloc.get_traced_memory()\n", " tracemalloc.stop()\n", " return peak / (1024 * 1024) # Memory in MB\n", "\n", "memory_original = measure_memory(original_function_call)\n", "memory_interpolator = measure_memory(interpolator_call)\n", "\n", "# Print results\n", "print(f\"Original function call time (100 runs): {time_original:.4f} seconds\")\n", "print(f\"Interpolator call time (1 runs): {time_interpolator:.4f} seconds\")\n", "print(f\"Original function call memory usage: {memory_original:.4f} MB\")\n", "print(f\"Interpolator call memory usage: {memory_interpolator:.4f} MB\")" ] }, { "cell_type": "markdown", "id": "f0131d70-dd79-4bef-89cc-8fbb73a49cb2", "metadata": {}, "source": [ "## Question 15**\n", "\n", "This question is an extra. The Gaussian process takes more than 20 minutes to train. The neural network is the task of the next esample class.\n", "\n", "Instead of interpolating with the griddata method, use (i) a gaussian process, and (ii) a neural network whose output layer is the function predicted at the $10^2$ points of the time grid and input layer is $a,b,c$ values. \n", "\n", "What do you observe in terms of (i) time and (ii) memory? Comment on scalability in all cases covered. \n", "\n", "\n", "**Tips**: For the neural net part of this question use Google Colab and the GPUs there. Training should take a few minutes. A good idea for you to practice is also to use CSD3 to solve this question.\n" ] }, { "cell_type": "markdown", "id": "9e895313-17d7-4cce-b626-83064ef8cee8", "metadata": {}, "source": [ "### Solution\n", "\n", "Gaussian Process " ] }, { "cell_type": "code", "execution_count": 54, "id": "be7e7a67-2477-4f4d-854f-0ca3090719ce", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting scikit-learn\n", " Using cached scikit_learn-1.7.2-cp312-cp312-macosx_12_0_arm64.whl.metadata (11 kB)\n", "Requirement already satisfied: numpy>=1.22.0 in /Users/boris/MPhil/ResearchComputing/venvs/c1_base_env/lib/python3.12/site-packages (from scikit-learn) (2.3.4)\n", "Requirement already satisfied: scipy>=1.8.0 in /Users/boris/MPhil/ResearchComputing/venvs/c1_base_env/lib/python3.12/site-packages (from scikit-learn) (1.16.3)\n", "Collecting joblib>=1.2.0 (from scikit-learn)\n", " Using cached joblib-1.5.2-py3-none-any.whl.metadata (5.6 kB)\n", "Collecting threadpoolctl>=3.1.0 (from scikit-learn)\n", " Using cached threadpoolctl-3.6.0-py3-none-any.whl.metadata (13 kB)\n", "Using cached scikit_learn-1.7.2-cp312-cp312-macosx_12_0_arm64.whl (8.6 MB)\n", "Using cached joblib-1.5.2-py3-none-any.whl (308 kB)\n", "Using cached threadpoolctl-3.6.0-py3-none-any.whl (18 kB)\n", "Installing collected packages: threadpoolctl, joblib, scikit-learn\n", "Successfully installed joblib-1.5.2 scikit-learn-1.7.2 threadpoolctl-3.6.0\n", "\n", "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m25.0\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m25.3\u001b[0m\n", "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n" ] } ], "source": [ "!pip install scikit-learn" ] }, { "cell_type": "code", "execution_count": 55, "id": "b4f41e81-819f-45fc-9b80-d48983831c36", "metadata": {}, "outputs": [], "source": [ "from sklearn.gaussian_process import GaussianProcessRegressor\n", "from sklearn.gaussian_process.kernels import RBF, ConstantKernel as C\n", "\n", "# Define a Gaussian Process model with an RBF kernel\n", "kernel = C(1.0) * RBF(length_scale=[1.0, 1.0, 1.0, 1.0])\n", "gp = GaussianProcessRegressor(kernel=kernel, n_restarts_optimizer=10, alpha=1e-3)" ] }, { "cell_type": "code", "execution_count": 28, "id": "5564b2bf-aa6e-45b4-b166-a73d1b3dc1eb", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
GaussianProcessRegressor(alpha=0.001,\n",
       "                         kernel=1**2 * RBF(length_scale=[1, 1, 1, 1]),\n",
       "                         n_restarts_optimizer=10)
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" ], "text/plain": [ "GaussianProcessRegressor(alpha=0.001,\n", " kernel=1**2 * RBF(length_scale=[1, 1, 1, 1]),\n", " n_restarts_optimizer=10)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Train the GP model\n", "gp.fit(points, values)\n" ] }, { "cell_type": "code", "execution_count": 56, "id": "f3adcd84-b07e-45eb-8929-54b69ee9cdf5", "metadata": {}, "outputs": [], "source": [ "\n", "# Define the interpolation function using the trained GP\n", "def interpolate_f_over_a_b_c_gp(tgrid, new_a, new_b, new_c):\n", " # Prepare query points\n", " query_points = np.array([(time, new_a, new_b, new_c) for time in tgrid])\n", " # Predict using the GP model\n", " interpolated_values, _ = gp.predict(query_points, return_std=True)\n", " return interpolated_values\n" ] }, { "cell_type": "code", "execution_count": 57, "id": "b86c74a3-65c7-424b-9abf-cd10a7668519", "metadata": {}, "outputs": [], "source": [ "# Define a wrapper function to measure the interpolator call\n", "def interpolator_gp_call():\n", " return interpolate_f_over_a_b_c_gp(tn, ap, bp, cp)" ] }, { "cell_type": "code", "execution_count": 58, "id": "0ab5b971-f631-4843-b055-b54f4b7236ac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Interpolator call time (1 runs): 0.0030 seconds\n" ] } ], "source": [ "time_interpolator_gp = timeit.timeit(interpolator_gp_call, number=1)\n", "print(f\"Interpolator call time (1 runs): {time_interpolator_gp:.4f} seconds\")" ] }, { "cell_type": "code", "execution_count": 60, "id": "4248eba0-0a8f-4c34-90e6-0c18e74e0348", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Interpolator call memory usage: 0.0093 MB\n" ] } ], "source": [ "memory_interpolator_gp = measure_memory(interpolator_gp_call)\n", "print(f\"Interpolator call memory usage: {memory_interpolator_gp:.4f} MB\")\n" ] }, { "cell_type": "markdown", "id": "ba098142-9236-4435-b095-792fc7c3df62", "metadata": {}, "source": [ "### Note on Gaussian Process vs Neural Net\n", "\n", "\n", "Gaussian Process (GP) Interpolation\n", "\n", "Gaussian Processes are a probabilistic model for regression that can handle multi-dimensional interpolation. They are particularly useful when the function is smooth and continuous.\n", "\n", "1. **Prepare Training Data**: Use your `(t, a, b, c)` points as inputs and the function values as outputs.\n", "\n", "2. **Train a Gaussian Process Regressor**.\n", "\n", "3. **Use the Trained GP for Interpolation**.\n", "\n", "Explanation of the Gaussian Process Code\n", "\n", "1. **Kernel**: We use an RBF (Radial Basis Function) kernel, which is commonly used for smooth interpolation tasks. The `length_scale` controls the smoothness along each dimension.\n", "\n", "2. **Training the GP**: The GP model is trained on the `(t, a, b, c)` points with corresponding function values.\n", "\n", "3. **Interpolating**: `interpolate_f_over_a_b_c_gp` uses the trained GP to interpolate over new values of `a`, `b`, and `c`.\n", "\n", "\n", "\n", "| Method | Pros | Cons |\n", "|----------------------|--------------------------------------------------------------------------------------------------|-----------------------------------------------------------------------|\n", "| **Gaussian Process** | Provides uncertainty estimates; works well for smooth, continuous functions | Slower for large datasets; memory-intensive |\n", "| **Neural Network** | Scales well to large datasets; works for complex, non-linear functions | No uncertainty estimates; requires more data for training stability |\n", "\n", "Choose the method based on the size of your dataset and the nature of your function `f`. Gaussian Processes are typically best for small to moderate-sized datasets with smooth functions, while neural networks are better for larger datasets or more complex functions." ] }, { "cell_type": "markdown", "id": "879565c5-a142-44a2-8065-6fa419ddb32c", "metadata": {}, "source": [ "## Note on Latin Hyper Cube sampling" ] }, { "cell_type": "markdown", "id": "781f4fe9-555c-4f67-be23-91b982bef28d", "metadata": {}, "source": [ "Why not using uniform sampling?\n", "\n", "No, Latin Hypercube Sampling (LHS) is not the same as uniform (random) sampling. While both methods aim to sample points across a parameter space, they differ in how they distribute those points, especially in higher dimensions.\n", "\n", "\n", "\n", "1. **Stratification**:\n", " \n", " - **Latin Hypercube Sampling** divides the range of each parameter into equal intervals and ensures that each interval is sampled exactly once. This helps LHS achieve a more uniform distribution across the parameter space by avoiding clusters and ensuring coverage across all intervals.\n", " \n", " - **Uniform (Random) Sampling**, on the other hand, does not enforce such stratification, so points can cluster together or leave large gaps in the parameter space.\n", "\n", "2. **Dimensional Coverage**:\n", " \n", " - **LHS** is particularly effective in high-dimensional spaces because it ensures each sampled point covers different parts of each dimension.\n", " \n", " - **Uniform Sampling** lacks this structured approach, so some dimensions may not be as well-covered, especially with a limited number of samples.\n", "\n", "3. **Sample Distribution**:\n", " \n", " - With **LHS**, each row and each column in a 2D sampling grid (or each \"slice\" in higher dimensions) contains exactly one sample point. This constraint leads to a better spread of points.\n", " \n", " - **Uniform Sampling** does not have this constraint, which can lead to points overlapping or clustering in certain areas.\n", "\n", "\n", "\n", "In a 2D plot:\n", "- **LHS** will ensure that each interval along both the `a` and `b` axes is sampled once, leading to a \"grid-like\" distribution.\n", "- **Uniform Sampling** will scatter points without ensuring they appear in every interval, so it may result in some intervals having multiple points while others have none.\n" ] } ], "metadata": { "kernelspec": { "display_name": "c1_base_env", "language": "python", "name": "c1_base_env" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "006cc9a838a342a3890a3b538f81caa2": { 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\n", 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\n", "text/plain": "
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recent call last)", "File \u001b[0;32m~/opt/miniconda3/lib/python3.9/site-packages/ipywidgets/widgets/interaction.py:239\u001b[0m, in \u001b[0;36minteractive.update\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m 237\u001b[0m value \u001b[38;5;241m=\u001b[39m widget\u001b[38;5;241m.\u001b[39mget_interact_value()\n\u001b[1;32m 238\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mkwargs[widget\u001b[38;5;241m.\u001b[39m_kwarg] \u001b[38;5;241m=\u001b[39m value\n\u001b[0;32m--> 239\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 240\u001b[0m show_inline_matplotlib_plots()\n\u001b[1;32m 241\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mauto_display \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", "Cell \u001b[0;32mIn [19], line 7\u001b[0m, in \u001b[0;36mplot_interpolated_relative_difference\u001b[0;34m(ap)\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mplot_interpolated_relative_difference\u001b[39m(ap):\n\u001b[1;32m 6\u001b[0m \u001b[38;5;66;03m# Calculate the relative difference\u001b[39;00m\n\u001b[0;32m----> 7\u001b[0m r \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m100\u001b[39m \u001b[38;5;241m*\u001b[39m (interpolate_f_over_a(ap) \u001b[38;5;241m/\u001b[39m f(t, ap, b, c, \u001b[43md\u001b[49m, e) \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1.\u001b[39m)\n\u001b[1;32m 9\u001b[0m \u001b[38;5;66;03m# Plot the relative difference\u001b[39;00m\n\u001b[1;32m 10\u001b[0m plt\u001b[38;5;241m.\u001b[39mfigure(figsize\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m10\u001b[39m, \u001b[38;5;241m6\u001b[39m))\n", "\u001b[0;31mNameError\u001b[0m: name 'd' is not defined" ] } ] } }, "31c9311b674b4f38b0e6e1ca117db142": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_cbb8b9bf46854902a6eb86cb9253e110", "IPY_MODEL_314f2cd2ced24017ad6069b0e9298555" ], "layout": "IPY_MODEL_2eec2750dff7411796c71e703da0520b" } }, "35718f1f68024992ae493c34bd8fc0e2": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "37c39a9e4d574da68e8ff31b69bb11f1": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "3ba2e329da0148fe88b91a17e7f715c0": { 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\u001b[0;32m~/opt/miniconda3/lib/python3.9/site-packages/ipywidgets/widgets/interaction.py:239\u001b[0m, in \u001b[0;36minteractive.update\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m 237\u001b[0m value \u001b[38;5;241m=\u001b[39m widget\u001b[38;5;241m.\u001b[39mget_interact_value()\n\u001b[1;32m 238\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mkwargs[widget\u001b[38;5;241m.\u001b[39m_kwarg] \u001b[38;5;241m=\u001b[39m value\n\u001b[0;32m--> 239\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 240\u001b[0m show_inline_matplotlib_plots()\n\u001b[1;32m 241\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mauto_display \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", "Cell \u001b[0;32mIn [27], line 11\u001b[0m, in \u001b[0;36mplot_with_interpolated_values\u001b[0;34m(ap, bp)\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mplot_with_interpolated_values\u001b[39m(ap, bp):\n\u001b[1;32m 10\u001b[0m \u001b[38;5;66;03m# Original function values for given `a` and `b`\u001b[39;00m\n\u001b[0;32m---> 11\u001b[0m original_values \u001b[38;5;241m=\u001b[39m f(tn, ap, bp, c, \u001b[43md\u001b[49m, e) \u001b[38;5;66;03m# Replace `f` with your actual function definition\u001b[39;00m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;66;03m# Interpolated values for the given `a` and `b`\u001b[39;00m\n\u001b[1;32m 14\u001b[0m \u001b[38;5;66;03m# interpolated_values = interpolator([(time, ap, bp) for time in tn])\u001b[39;00m\n\u001b[1;32m 15\u001b[0m interpolated_values \u001b[38;5;241m=\u001b[39m interpolate_f_over_a_b(tn, ap, bp)\n", "\u001b[0;31mNameError\u001b[0m: name 'd' is not defined" ] } ] } }, "51b3681e89c74d3094b9b8897e2291e3": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "51cabaad3c6340b0b0b2f792ed29e2b9": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "FloatSliderModel", "state": { "behavior": "drag-tap", "description": "a", "layout": "IPY_MODEL_bbf0071beff349cb95c68b7ec9416e51", "max": 1, "step": 0.01, "style": "IPY_MODEL_6e41dc9a7824470db3d4fbf69ae32127", "value": 0.13 } }, "5408767d93b34d7492aa01b82eb0cdb5": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ 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\n", 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BpOJxzDS1vYgEGQAAAAAQBQRbAAAAABAFBFsAAAAAEAXs2QIAAAAOk2maOnDggNxud6y70mbV1taqQ4cO2rdvX9S/zxaLRR06dDjskk8EWwAAAMBhqKmpUWVlpaqrq2PdlTbNNE317dtXZWVlrVL3Ni0tTVarVR07dmz2PQi2AAAAgGbyeDxat26dLBaL+vXrp44dO7ZKINAeeTwe7d69W507d260kPDhMk1TNTU12rJli9atW6djjz222c9HsAUAAAA0U01NjTwejzIzM5WWlhbr7rRpHo9HNTU1Sk1NjWqwJUmdOnVScnKyvv/+e/9zNgcJMgAAAIDDFO0P/2h9LfFvyqgAAAAAgCgg2AIAAACAKCDYAgAAAIAoINgCAAAAgCgg2AIAAADigNstOZ1SSYn3a2vWR3744Yd15JFHqkOHDrr88suVkZGh9evXt14Hgrjxxhv1y1/+Mir3njp1qh544IGo3Lsugi2gnWvqB3tj55t7DgAABHI4pKwsaexYafp079esLO/xaPvvf/+rOXPm6C9/+YvKysrUo0cP5ebmKisrK6Dd7NmzlZeXF/0OHbR69WoNHTo0Kve+5ZZbdNddd2nHjh1Rub9PwgZbjzzyiLKyspSamqqRI0dqxYoVjbYvKirScccdp06dOikzM1OzZ8/Wvn37Wqm3QGy53dKaNb300ktGQODT1A/2xs4395yvPwRiAAB4ORxSfr5UXh54vKLCezzaAdff//53jRgxQpMmTVK3bt3017/+VVdccUWDditWrNDw4cOj25k6Vq9erSFDhkTl3ieeeKIGDBig559/Pir39zMT0EsvvWR27NjRfPrpp83PP//cnDFjhtm9e3dz06ZNQdu/8MILZkpKivnCCy+Y69atM//xj3+YVqvVnD17dtjPuWPHDlOSuWPHjpZ6Gc1WU1Njvv7662ZNTU2su4IE8OqrpmmzeUzJ9P+x203zuutM0zDMgOOS95hhNH6+/rFwz/nua7ebDfrz6qux/k6hLn7OIFKMGUSqrYyZvXv3ml988YW5d+/eZl1/4EDD98X675+Zmd520TBgwABTkv9Pp06dzN69ewe02b9/v9mhQ4eAdiNHjgzr/nPnzjVPPPFEMy0tzczIyDCvuuqqsP7NKysrTUnmCy+8YGZnZ5udOnUyhw8fbi5btsx0u91hPff3339vXnLJJWZGRoaZmppqDhkyxHS5XP7zt99+u3naaaeFvL6xf9twY4OEnNl68MEHNWPGDF1++eU6/vjj9dhjjyktLU1PP/100PbLly/XqaeequnTpysrK0sTJkzQtGnTmpwNAxJJsNki32/KKioC25aXS/ff7/0xXp/vx/uDD4Y+H0pT50zT+7yN/eaOWS8AQHvicjV8X6zLNKWyMm+7aFi+fLmOPvpo3X///aqsrNS0adM0bNiwgDYdOnTQBx98IMk721RZWanFixfr2WeflWEYjfTdlGmaevzxx/XFF1/o2Wef1auvvqqnnnqqyX6tXr1aknd12vz58/Wf//xHnTt31pVXXhnW6/r+++81YsQI7d27V2+88YY+/fRTzZo1S127dvW3GTFihFasWKH9+/eHdc/m6BC1O0dJTU2NPv74Y910003+Y0lJSRo3bpw+/PDDoNeMHj1azz//vFasWKERI0Zo7dq1euutt3TxxReHfJ79+/cHfON37twpSaqtrVVtbW0LvZrm8T1/rPuB+PHaa4bmzLGoouLQD7x+/Uzt2+cLgEL/IAylNYMc05QMw9TMmdLvfqeA12GzmXrwQbemTGkkkkOL4+cMIsWYQaTaypipra2VaZryeDzyeDwRX+/9hWjT8x8VFR414/ZNSktL0/r16zV69GhlZGRo69atslqtDV5LeXm5evXqpcGDB/uPdenSRccdd1yjr/u2227z/z0zM1NnnHGGvvrqqya/V5988olSU1PlcDjUr18/SdIf//hHnX766dqyZYt69+7d6PVXXXWVRo4cqZdeesl/bMCAAZLkf+6+ffuqpqZGGzdu1JFHHtngHh6PR6Zpqra2VhaLJeBcuOM24YKtrVu3yu12q0+fPgHH+/Tpo6+++iroNdOnT9fWrVt12mmnyTRNHThwQFdddZX+8Ic/hHye+fPn6/bbb29w/J133lFaWtrhvYgWsmTJklh3Aa3M7Za++KKXfvghVT167NPxx2/TihVW3XvvKQ3abtwoNSfIihXTNLRtm+RdnXBIRYV0wQUW3XDDSo0YUdng9df72YcWxs8ZRIoxg0gl+pjp0KGD+vbtq927d6umpibi67t16yCpcxjtqrVz54Fm9LBxK1eulCQdeeSR2rlzp3bv3q3evXv7Jxp8/v3vf+uEE04IOH7GGWfojDPOaNDWZ8OGDfrTn/6kDz74QJWVlTpw4ID27dunefPmhbymbr8mT56szp07+9t27NhRkncSJCUlJeS1GzZs0OLFi/X+++83+jzug79Z3rx5s3r06NHgfE1Njfbu3av3339fBw4Efu+rq6sb7b9PwgVbzeF0OnX33Xfr0Ucf1ciRI/Xtt9+qoKBAd9xxh2699dag19x0002aM2eO//HOnTuVmZmpCRMmBEw/xkJtba2WLFmi8ePHKzk5OaZ9QetpbPbKq35g1TKBVpLcypZLVlWqUla5lC2PLE2ea76Gr8MwTD311Cl6/nlmvVoLP2cQKcYMItVWxsy+fftUVlamzp07KzU1NeLrJ06U7HZTFRXeXzzWZxim7HZp4sS0qPyC8ZtvvtExxxwjq9UqyTuBsWfPngafd7/88kudfPLJYX8O3rJli8aNG6exY8fqoYceks1mk9vt1ogRIzRixIgm7/PFF19o5syZAe0+++wz9evXT0cffXSjyxe/++47dezYUaeeemqjz+ELjo866qig/dm3b586deqk008/vcG/bVPBok/CBVvp6emyWCzatGlTwPFNmzapb9++Qa+59dZbdfHFF/vXeA4ePFh79uzRzJkzdfPNNyspqeHUbUpKStCIOTk5OW5+IMRTX9By3G7vuuzKSslqlbKzpUWLpKlTG+6J2rjx8AOqUAGTxSLluh0qUoEydWgxeZnsKlCxJKk4xLnXlNeiQdqhWa+Gr3/q1A4qLZVycxt+35j1Onz8nEGkGDOIVKKPGbfbLcMwlJSUFPQzZVOSkqTiYu/eZcMIfK/3xhOGioqk5OTorFb59NNPNXToUH/fTz75ZD3//PMNXstnn32m/Pz8sF/jm2++KbfbrZdeeskfGP35z39WbW2tTj755EbvU11drW+++UYej8ffzuPx6OGHH9a0adP83+9QUlJS/LNoja1I++KLL2S325WRkRH0fFJSkgzDCDpGwx2zCRdsdezYUcOGDdN7772nyZMnS/J+89977z3NmjUr6DXV1dUN/kF86y7Nxnb0A63M4ZAKCgI3ytpsqrP3qnlCBTdT5AgaMBWqWLm/lC5alK/6y/psqlCpzpXR4IzvXL7u17WarpJmBWmR8O71kmbObPh9s9u9b16tWA4EAIBmycuTSkuDv5cVFUX3vWz16tU655xz/I8nTpyom266ST/88EPA0jqPx6Ovv/5aGzdu1BFHHKFu3bo1et9evXpp586deuONN3T88cfr//7v/zR//nzZbLYm91t9+umnslgseuaZZzRmzBh17dpVN998s/bu3auCgoImX9PIkSPVrVs3/eY3v9GNN94o0zT1/vvv64wzztCxxx7rb+dyuTRhwoQm73dYwsqbGGdeeuklMyUlxXz22WfNL774wpw5c6bZvXt3s6qqyjRN07z44ovNG2+80d9+3rx5ZpcuXcySkhJz7dq15jvvvGMOGDDAPP/888N+TlK/I9pefbXx1OlN/UnSAXOMlppT9aI5RkvNJB0wJdOcolfNDQrMKbtBdvNeXWd6ZJjuejdyyzA9kmn26uX9GuSP5+Cfxs6Fum+oc24Z5hS9GvJ1RPrHl2qelPLNw88ZRIoxg0i1lTFzuKnf6zpwwDSXLjXNF1/0fo1Wuncft9ttpqWlmX//+98Djo8YMcJ87LHHAo797W9/M/v162dKMq+99lrTNE3zmWeeMUOFE2632/z1r39tdunSxczIyDDnzJljXn311eZZZ53lbxPq+r/85S/mCSecYC5cuNC02WzmEUccYU6dOtXcvHmz+cMPP/hTvzf2/MuWLTNHjRplHnHEEWaPHj3MX/ziF+aPP/7oP793716zW7du5ocffhjy+9MSqd8TbmZLki644AJt2bJFc+fOVVVVlU466SQtXrzYnzRjw4YNATNZt9xyiwzD0C233KKKigr17t1bZ599tu66665YvQS0c/WXCo4e7f1tVnNnr0LNUJVomq7VAjWcnSrXdbpfhhrukErytd22LeSur8YWMhgh2vjua6phzqUkmfLI0OOa2eKzXoWF0i9/KS1fzhJDAEB8s1iknJzWe76kpCTt2bOnwfG5c+fquuuu04wZM/yfqS+66CJddNFFAe3WrVunMWPGhLz3Y489psceeyzk84e6/qqrrtJVV10lSTr//PP9xz0eT8Beqcae/9RTT9Xy5ctDPvczzzyjESNG6Gc/+1nINi0hIYMtSZo1a1bIZYNOpzPgcYcOHTRv3jzNmzevFXoGNC7YUsH0dGnr1qavDbYcMFeLVKpgy/28AZUULPCJnVCBWpJM9da2kEsT81WqRcqNcK+XtzaJ3S5t2XLoOEsMAQAI7ayzztI333yjiooKZWZmhmz39ttv689//nOznyeW1ycnJ+vhhx9u9nOHK2GDLSAR+YoM15/BCifQCj57ZVMn7ZNkBpktSkzBZsQOd9arbqAlHSqiXFpKwAUAQDCFhYVNtlmxYsVhPUcsrw+3OPLhStTPY0DCcbubv1RwihwqVb5sdQINyTvrk65tbf4/sm/Wyx7k9ZcqX1PkUJLcGiOnpqpEY+RUkkJXZfb9GxQWtm7xZgAA0L4wswVESf19WW534NLBUOovFfxAo1WsArXq7JVhSD17Stu3ex/Xz0Pre1w/R22UteSsl2+Jocvl3cNF2ngAANDSCLaAKAi2L6tnz6avC7ZUcLPSlaEw1hk2V/CiHtITT3i/hspDG+xcZqa3INiCBd7HrRCkhbPXq7FlhosWSRdfTNp4AADQ8gi2gBYWal+Wb5IoFN9SwfqJLtJbINAyDUNGsIDq2mulkpLGi3o0Vi041Lmf/SyyIM1ul/bu9X6TmhmEhZr1KlKh/k+/1KlaHjSxhq9LdbGnCwAAtASCLeAwNDeFe6ssFawbUL34ojeC8KkbUM2f3/gausby0IY6l5cXeZC2aJE3wmnhWa/+KlOF7MrQoSwZviWGb1jygu7Zqps2PjeXJYUAAKB5CLaAZmpuCvcWXyro21/VqVPIGaoDf/yj/r1ggX525JHqkJkZGPhEq6hHpEFaXp53KikKs169FZiO0L/E0B16iaFvT5fT6e0u+7kAAECkCLaAZmhuCvcWXypYd39VYzNJFou2DR4sc9IkKTm5ec/VGkLNiB3mrFewJYbmwSWGi5QrSSHrd51/fuASUPZzAQCAcBFsAREKN4V7VJYK9u7dsDpv3f1VrVl2PlpaadbLOLjE8A+6SzP1ZMhMhvX32rGfCwAAhItgC4iQy9V0CveoLBW026Vvv5WWL2+fa9qiNOv1R82LKJMh+7kAAEC42notVOCwud3efTslJd6vdfNMBBOqAPFhLxUsKpI6dvTO+kyb5v3a3j7p+2a96r5+36yXzRbYtnfvsG/bcKbRG34VqTBoceS6NboAAEDL27ZtmzIyMrR+/fpG202dOlUPPPBA63SqGZjZAhoRKgmGT0yWCqKhYLNeo0dLAwZ4o+NGZrzq7+fy8WUyHCOnPLIE3c9VUeENwNvjRCMAIArqpzlupTeWMWPG6P333w84lpSUpB07dqhz585Rf/5g7rrrLuXm5iorK8t/bM6cOfruu++0aNEi/7FbbrlFp59+uq688kp169YtBj1tHMEWEEJTSTBYKhhngu31Ki4OvsQwgiWHr+h89dKhjVt193PNnt0wLiZ5BgCgWYL9hrcV3lhM09Qnn3yiBQsW6MILL/QfT0pKilmgVV1drb/+9a/6xz/+EXB85cqV+vnPfx5w7MQTT9SAAQP0/PPP65prrmnNboaFZYRAEE0lwWCpYIIItcTQbpduvz2sW/RUYIYM336uKXIEBFrSoeQZDsfhdBoA0O74fsNbf1N4K7yxfPPNN9q1a5dOP/109e3b1/8nIyMjas/ZlLfeekspKSn62c9+JkmqqalRcnKyli9frjvvvFMWi8V/TpLOPvtsvfTSS7HqbqMIttDu1d+T5ZvBD5UEI0nullkqWJfdTnq7aMnLk9avl5Yu9RZ3XrpUWrdOuvlm7/fdCL6Q0Dz4J1jaeCn4fi5fcF5YqKDFkgEAaKCx3/C2whvLxx9/rA4dOmjIkCFRuX9zuFwuDRs2zP+4Q4cO+uCDDyRJ77//vioqKrR48WL/+REjRmjFihXav39/q/e1KSwjRLsWasY+P//Q4/r7spLkDlg6GBGWCsZGqALLoZYZKvReLunQfq5sufQvBd63bvKMtpCJHwAQZU2lOY7yG8uqVavkdrvVq1cv/7GhQ4fqgw8+0D//+U998skn+v3vfx/y+rVr1+qzzz7TOeec02J9+v7779WvXz//46SkJG3cuFG9evXS4MGD1bVrVyUlHfoVd79+/VRTU6OqqiodeeSRLdaPlkCwhXYr1J6sigrvaj4p+L6sberZvCcMtlQQsRWqflfPnmpQYCuIfqrQGDlJngEAaL7KypZtF6FVq1Zp2rRpur3O8vojjjhCkvTzn/+8wR6p+t5++23t2rUromDL7XbL0sib4t69e5Wamhpw7JNPPtHQoUODtu/UqZMk716veEOwhXYpnBn7c5McetmTL9WrwtRDTX8Il0RWwUQRLJOh2y2NG9fkpUWarQwd+jcmeQYAIGJWa8u2i9CqVas0f/58HXPMMQ3OnXPOObrrrrs0ePBgTZo0ScOHD9d7772nyspKvfHGG9q2bZtuvfVW9erVSwsXLtSyZcu0ceNGFRYWqqqqSkcccYRKS0uVkZGhc845R3a7XStXrtSvf/1rvfnmm0pJSdF3332n7du3a+HChRo+fLgkKT09XT/88ENAX1avXh1yqeP2g78g7R1B2ZfWwp4ttEtNzdgnya2HPKH3Zfn28wRlGFJmpvcJ6u8T4pN2fKpfvysnp9H9XB55//3TFZghg+QZAICIZWc3+p7j/1yRnd3iT7127Vr9+OOP+ulPfxr0/FdffaWBAwdKkj777DP1799fH3zwgX73u99p0aJFGjNmjIYMGaIlS5bok08+UYcOHXT11Vfr8ccf18cff6zp06friSeekCStWbNGxx13nFauXKkrr7xSn376qU4++WStXLlSf/zjHwNqZf30pz/VF198EdCXNWvWhJzZ+uyzz2S325Vetz5PnCDYQrsQaWHibLmUqfKQ/0EMhdjTQ1bBtsFi8U5DSUHf/HxHIimGTPIMAEBQjb3n1P1cEYXPER9//LEsFkvQGaNdu3YpNTVVycnJ2rlzpwzD0JVXXilJqq2tVffu3SVJGzZs8NfCev311/X555/rl7/8pU466SQVFxcrOTlZu3btktvtVkFBgSRp9+7d2rdvn38v2KBBgwJmsiZOnKjPP/884JjH49H//vc/VVZWaseOHQF9dblcmjBhQot9X1oSwRbaPIdDysqSxo6Vpk/3fi0sPHQ+SW6NkVNTVaIxcipJblkV5rronvX2b5FVsO0IlTa+d+/QwbYCiyHXH1d19zgDAODXWKmSKH6uWLVqlQYOHOjf81TX559/rhNOOEGSd+bolFNO8Z9bs2aNTjjhBJWXlwckslizZo0eeOABrV69WqtXr9aXX36pG264QZ9//rlGjx7d4Hrfvq1Vq1Zp8ODB/vODBw/WySefrJdfftl/7M4779Rzzz2n448/XnfddZf/+L59+/T6669rxowZLfAdaXns2UKb1pzCxGWy60mF+R/25Ze9v2kiC0LbFGw/V0WFdNFFTV7aWDFkkmcAABoI9p4T5TeI+fPna/78+UHPrVmzxh8AffbZZwFL+HznvvrqK1nr7CXr27ev/vGPf2jatGmSpE8//VRDhgwJuJfv+Pfff6/a2lrt3LlTDz/8sBz11tnPnTtX1113nWbMmKGkpCRddNFFmj59unbu3KmuXbv62z3zzDMaMWJEQN2teEKwhTYr3MLE9Xdf2VSh2zRP+zv3Usqe7cFv4EvhzvLAtq9+2ninM6zLQhVDzlepZs/OI3kGAKChUKVKYmDNmjUadzBZ1GeffaYzzjhDknTgwAH9+OOP6tWrl0488UStXbtWgwcP1sKFC3X55Zfr3Xff1cCBA5WSkqKJEyfqvvvuC7iX5A22Jk2apGHDhsk0Td13330aMGBAwPOfddZZ+uabb1RRUaHMzMyQ/UxOTtbDDz8che9AyyDYQpvV/MLEpkwZSkmRtEcNazBFef004pxvI3NFRdBA3HckWDFkjwwVqVBHbcmVdGjs+JJnsAIVABAv/vSnPwX9e4cOHbRu3TpJUrdu3fTxxx8HXPf66683ei/JG2y9+OKLeuihhxrtQ2HdfR8h+PaRxSv2bKHNqluOov6+rDFyNpEAw5S2bZNuu63V108jzoWRPKOp/VzZCty0RfIMAEB70tRsVVvCzBbaDLc7cJlzRob3+GEVJj72WGn9+lZdP40EcJjFkIMlYKmbPCNOVpAAABAVa9eujXUXWg3BFtoEh6Ph516bTbqks0PP7D6MwsRWa1ytn0YcOYxiyJuUoTFyyqpKVcoql7LlObissDLMRJgAACD+EWwh4YXKOFhV4dadIfdlhd5b4z14MAFGFAoIog2pH4i73Y3u5/LI0Db11HO6rEEGTF+mwowMMhUCANBWsGcLCa2xjIOntURhYj7lIhKN7OcyDUOSqXRtk02BmVt8mQov6ezQZZcF1oTLyvL+QgEAACQegi0ktLoZB+snwbCpIrybUJgYLSlEYUrDZlNt514y1fAHb9LBedY7dhdqY3lghgxfpkICLgAAEg/LCJFQ6ifBqDgYTwVLgrFZ6eHdlMLEaGkh9nOlNLKfq26mwn8px3/cNL2TZIWF3lsyNAEgPpmhCnsiYbXEvynBFhJGsCQY6emhixOna6vMg0eDTuFSmBjRVH8/V0lJWJf1U0XD5BmmhUyFABCnkpOTJUnV1dXq1KlTjHuDllRdXS3p0L9xcxBsISGESoKxfWtjxYklj7z7skzDkEFhYsSS1RpWsyLNVoa2+B/XTZ5BpkIAiD8Wi0Xdu3fX5s2bJUlpaWkygtRhxOHzeDyqqanRvn37lJQUvd1QpmmqurpamzdvVvfu3WU5jM+KBFuIe40lwcg+mAQjFP9/w/R0acuhD7Cy272BFvuy0Fqys5vIVOj9xUB6nUBLOpQ8I1+lsloZrwAQj/r27StJ/oAL0WGapvbu3atOnTq1SkDbvXt3/79tcxFsIe7VTYJRX7DisEE99JA3YQH7shArvkyF+fnemdU6AZepQ5kxgyXP8MjQw5ZC9R6ZK6fTwjAGgDhjGIasVqsyMjJUW1sb6+60WbW1tXr//fd1+umnH9bSvnAkJycf1oyWD8EW4l7dpVNJcitbLv9+lk3KCO8mNhubXRB7vkyF9TYfGr17B8681pMkUzZ3mc7r71Lp1hz/cbvdG78xQQsA8cFisbTIB3QEZ7FYdODAAaWmpkY92GopBFuIO/UzDmYcjKeCZRwsk01b1Us9td2fPjsAxYkRb4JlKqyokC66qMlLO2wNnMn1pYWnUgEAAPGJYAtxJVjGQZtNuqSzQ8/sbphx0KaNkkySYCCx1M9U6HSGdVmlApNskBYeAID4RlFjxA1fxsH6+7OqKty6c3eojIPe3S41nXvJqFdEluLESBi+5BkhNvt6ZGiDMvWBRgcU7k6SW6Ypf1p4AAAQX5jZQlxoLOPgaU1mHDSVsnub9Pq7FCdGYmo0eYY3ACvRVK3VgHrLaEkLDwBAPCPYQlyom3GwfhIMmyrCu8nmzdK0adHrJBBNIZJn7O9tV/GWqbpOC9RwGS1p4QEAiGcEW4gLvt/KB0uCsVnp4d0kzKKxQNwKkjwjeeRoXdxlgOQOvoyWtPAAAMQvgi3ERLCMg1PkUKkaJsFI11aZB48G3WRIxkG0JfWSZ1icTvVzN76MlrTwAADEJ4IttLpgGQcz+7n1YVKB5An223vJI5FxEO1TmJuxSAsPAED8IRshWlWojIMDNrpk85SHHJBJ8gZbRnq9JYVkHERbF+by2E3KCMhUaJhuSd608G53FPsHAABCYmYLraaxjIN9FWYqtYce8hbeYmMK2gtfWviKiqD/eTwytE099Zwua5ip0CzWa2V5crkCy3oBAIDWQbCFVtNYxsFNygjvJjYbnxrRvjSZFt5UurapfhhWN1NhZSUzvwAAxALLCNFq6mYcXK8sOTVWJZoup8bqOV2qreolj4IXdZVhSJmZJMFA++RLC1+vcPf+dJu2q1fQ5DFJB8OvIhXKmsE6QgAAYoGZLbQaqzV0xkGbNurQ7+kNGSIJBhAgWFr4WrfSJ4wLeUmSTPVXmawel5zOHFbfAgDQygi2EDX107uPHunWTywFjdYL2p7UUz2tnaSKOhk07HZvoEUSDLR39dPCl5SEddnsqZV6ZPuhx6SFBwCgdRBsISqCpXfPT3fplSbqBfXybJOee9f7oZJfwwONCzNT4WfbA9uRFh4AgNZBsIUW50vvXj9xWvLWMDMObt4sTZvW8h0D2powMhWWy64PNFpj5PQnpHGZ2TINiwoLvSsT+V0GAADRQbCFFlU3vXv9jINV4WYcDPO39UC712SmQqlEU7VWA0gLDwBADBBsoUX50rtPkUPFKqj3Ac+mreqlntruz5QWwDC8v6Un4yAQPl+mwnrrdqt72fXnbVN1nRaoYUIa0sIDANAaCLbQoioryTgItLogmQpX1ozW9IkDJIVOSFOkQq3NyJXE/zkAAKKBYAstyprhVrEK1NgHvK3qqS7pnZS6lYyDQIupl6kw+z2nLGo8IU1/lckml9zunIDMoUwuAwDQMgi2cFjqp3c/1eNSchMf8Hprm9wvvCt1JOMgEC2WzeElpPn475U697LAzKF2u/TAA4ZSUqLTNwAA2guCLTRbsPTu1/Ss1J/DuNayjYyDQFSFmWjmhiJrg1+PVFRIU6dadP31Vk2a1PJdAwCgvai/0gsIiy+9e3m9T2mfbw8zkyAZB4Ho8qWF9+2HrMc0DFVYMvW+Gq4Z9CU1/OtfT5TbHc1OAgDQtiVssPXII48oKytLqampGjlypFasWNFo+x9//FHXXHONrFarUlJS9JOf/ERvvfVWK/W2bamf3n2MnJqqEo2RU8s0WmWyy6PgH/BkGFJmJptCgGjzpYWXGgZchiGZ0m/dRfLI0uD/cZLcMk1DW7emadmyEP+XAQBAkxIy2Fq4cKHmzJmjefPmadWqVRo6dKgmTpyozZs3B21fU1Oj8ePHa/369SotLdXXX3+tJ598UjabrZV73jbUTe++XllyaqxKNF1OjdVaDdCL8i4PNOsHXGQcBFqXLy18/Z91druWFZbqNeUF/X+8XlmaIock77ZKAADQPAm5Z+vBBx/UjBkzdPnll0uSHnvsMb355pt6+umndeONNzZo//TTT2v79u1avny5kpOTJUlZWVmNPsf+/fu1f/9+/+OdO3dKkmpra1VbW9tCr6R5fM8fq36UlRmaojdCpHev0HVaoPt1rWb1LNER2w+tMzRtNrkfeEDm2WdLMf4etjexHjOIobPPliZNkrFsmT8hjXnaadq/rIOmFIUq03CoDlfv3pNUWxukLh5QDz9nECnGDCIVT2Mm3D4Ypmkm1LtoTU2N0tLSVFpaqsmTJ/uPX3rppfrxxx+1aNGiBtdMmjRJPXv2VFpamhYtWqTevXtr+vTpuuGGG2QJMcNy22236fbbb29w/MUXX1RaWlqLvZ5E9Nl/u+uSeRfJpvKgU6MeGSqXXc/Pe1and1iu1B9+0L4ePbTt+OOZ0QLihLvGrZFTfyerpyLk/+ONSTateKlYlo78vwUAoK7q6mpNnz5dO3bsUNeuXUO2S7iZra1bt8rtdqtPnz4Bx/v06aOvvvoq6DVr167VP//5T1144YV666239O233+rqq69WbW2t5s2bF/Sam266SXPmzPE/3rlzpzIzMzVhwoRGv6Gtoba2VkuWLNH48eP9M3XR4nZLy5YZ/gztp51m6hed/qWOYdTvuXa0R8bYG6LaP4SnNccMEoPxr3+pg6ci5PkkmbJ7ytXziDQt7zgu4GcAvzNBMPycQaQYM4hUPI0Z36q3piRcsNUcHo9HGRkZeuKJJ2SxWDRs2DBVVFTo/vvvDxlspaSkKCVIkZnk5OSY/+P6RLsvwVK72+3Sq/lbNCKM6ztu2yLFyfcKXvE0fhFjW7aE1ey6i7br0R8OvVXY7d68G9QfRyj8nEGkGDOIVDyMmXCfP+GCrfT0dFksFm3atCng+KZNm9S3b9+g11itViUnJwcsGRw0aJCqqqpUU1Ojjh07RrXPiciX2t0w3Rojl6yqVKWsWlaerRuKrFoazk1I7w7ErzD/f37+Q2C7igrvz4bSUgIuAACaknDZCDt27Khhw4bpvffe8x/zeDx67733NGrUqKDXnHrqqfr222/l8Xj8x/73v//JarUSaAXhS+0+2WyYpWydspSuLdposcsMUb+H9O5AAmiiDpdHhjYoUy6dHnDct8u3sFDU4AIAoAkJF2xJ0pw5c/Tkk0/queee05dffqnf/OY32rNnjz874SWXXKKbbrrJ3/43v/mNtm/froKCAv3vf//Tm2++qbvvvlvXXHNNrF5CXHO5pFPKvVnKbPX2ZtlUoYW6QH9zT/MmMAtWv0civTsQ7xqpw+Ur21CoIkkKUoNLKivz/qwAAAChJdwyQkm64IILtGXLFs2dO1dVVVU66aSTtHjxYn/SjA0bNigp6VAcmZmZqX/84x+aPXu2hgwZIpvNpoKCAt1wA8kbgqmqcKtYBZLMBtF4kkx5ZGiaXtIHBS/rtFdnN9zUVVTE+iIgEfjqcNXbnFndy66LtxVJktYrS5l1fulSJrsKVKzXlEcNLgAAmpCQwZYkzZo1S7NmzQp6zul0Njg2atQoffTRR1HuVdswcIsr4MNVfb5sg9uz0qX1672/3valKsvOZkYLSCR5eVJubsD/45XubGncoiZrcFmt/FIFAIDGJGywhZbjdgfGS6f1Cu/X1UN6V3oDq5yc6HYQQHTV+3+cXePWT5IKJE/o2e2HLYXqOzpXEr9cAQAgFIKtdi5Yevf8dKteCePaJBvZBoG2yLLcpX6exme3be4yabmLX7YAANAIgq12LFR690VbR6tMdtlVIaPeEiLJu3neyLSTbRBoq8LcjOWpqNT7TlYRAwAQCsFWO1U3vXuxChpsgC/RNF2rBZJhyDAPBVymYXjzlJFtEGi7wqzBdUGhVaVbDz2m4DEAAIESMvU7Dl9T6d2v1QLdr2u1P90WcM6w26lmCrR12dkybbYg89pe5sEaXI6tgbPbvoLHDkf0uwgAQCJgZqudCje9+6IHvtMFmctZJwS0JxaL3A8+KMsFF3hns+vNbptmYA0u3xJkl5kt07CosNCb4JAfFQCA9o5gq50KO737tuXSxTmt1zEAccGcMkUrb7hBpzz/vHfK6qD96XZN31IkKUQNLrNYr5XlyUXuDAAACLbai8NK7w6gXaocNUoHbrtNyR995P/h8XpFtnRR0zW4KitZagwAAMFWO+BwSLN/59ZRFYcyDvZJz9DCMK4lvTvQztWrwdX3vaaXIBepUGszqMEFAADBVhvncEgvnOvQsvoZB7fatFW91EvbSe8OIGzZcskSxhJkm1ySclqtXwAAxCOCrTbM7ZbenunQK0GX+2z0Hwu2AZ707gCCsWwOb2lxuO0AAGjLSP3ehrmcbs3dFnq5j2Roq3ppfy/SuwMIU5g1uNwZVjmdUkmJ5HR6f/kDAEB7w8xWG+Z2Np1xsLe26b2Z7+qM8RbSuwNoWna2t3pxRYVkBqnEZRiq7mnXoEuzteFQEkMKHgMA2iWCrTbMqvCW8ViTNks506LcGwBtgsXijZry8yXDCAy4DtbgunhbkcoVWINrWXm28vMtTJoDANoVgq02pH5691NPD2+5z3E5ZBwEEIG8PO9S44ICqfzQ7Llps2vm3iKZ24LX4Co0i1VYmEfBYwBAu0Gw1UYES+/+fb/R+qSzXV13VxzcoxXII0P7etmVlkPGQQARysuTcnMDfsPzL3e2to0LXYPrFeUrv6xULlceBY8BAO0CwVYbEDK9+0a7ntA0XacF8sgICLg88mYcTHuiiF8xA2ieejW4ql4IrwbX8gpqcAEA2geyESa4uundbfWSYdhUoWu1QI91vlaGrWHGQeNVNk8AaDkDt3iT8oR6Y/HV4Bq4xdWq/QIAIFaY2UpwTaV398jQWbtf0r9e/U45HZf7l/sYZBwE0MKG9A4vKU+47QAASHQEWwkunPTu/VWmb1zLpTtyWq9jANqdJFt4yXbCbQcAQKIj2EpwYad3D7MdADTbwRpcZnmFjCBJeUwZMjLtco/OlstJaT8AQNvHnq0EF27adtK7A4i6gzW4DEMyDSPglGkYMgzpo6lFyhpg0dix0vTp0tixUlaWN9EPAABtDcFWgnHXuPXpn97Xric+06d/el8aPVrVvezyyAja3iND1b0yZSG9O4DWcLAGV7CkPB9dW6rRC/K0sdytMXJqqko0Rk5VlruVn0/ABQBoe1hGmEA+ut6h/g8WaJi7XMMk6S1p4w127frlNP1kEendAcSJIDW43KOzdd4AiyabDhXXL1NBwWMAQBvFzFaC+Oh6h0bcn6++7sBkGH3dFTp20QL9L/daGXbSuwOIE74aXNOmSTk5ci236JRyh0pDlKl4RfkaXuaQi6zwAIA2hJmtBOCucav/g42nd+/895fk2fWdLP8mvTuA+FNVQcFjAED7Q7CVANY86tJJ7sbTu9vcZVr9+HKdVJjTeh0DgDD5Ch6H4itTsX2LS1JOq/ULAIBoYhlhAqj+Lry07eG2A4DWRsFjAEB7RLCVANIGhJe2Pdx2ANDaKHgMAGiPCLYSwOCrs7XR0nh69wpLpgZfTXp3AHHKV/A4xM8xU4aUmSn36Gw5nVJJieR0Sm53q/YSAIAWRbCVACwdLdowp1iSGgRcvsdlc4pk6cimcgBxioLHAIB2iGArQfzsvjytuK5UVZbA9O6VFrtWXFeqn91HencAcY6CxwCAdoZshAnkZ/flyX1nrj5+2Kkv//mRBv38ZzrptzmyMaMFIFFQ8BgA0I4QbCUYS0eLhvzudJUfs1tDJp0uSzKfPAAkGF/B44NcTvkLHktmQFNfweP8slK5XHl1LwMAIO6xjBAAEFNNFTyWpCIVqqqCbBkAgMRCsAUAiClfweNQb0i+gscDt7hatV8AABwugi0AQExR8BgA0FYRbAEAYoqCxwCAtooEGQCA2PIVPC6vkFEvQYbkLXhsZNrlHp0tl9OfxFDZ2WQnBADEN2a2AACxRcFjAEAbRbAFAIi9MAoel5cHXlJRIQoeAwDiGssIAQDxoZGCx6YpJcmtbLlkVaUqZZXLzJZpWFRYKAoeAwDiEsEWACB+BCl4XF4uTZFDxSpQpg5Nb5XJrgKzWK+V5cnlEgWPAQBxh2WEAIC4VVnpDbRKlS+bAtcR2lShUuVrihyqJCs8ACAOEWwBAOKWNcOtYhVIMhu8YSUdzFxYpEJZM9yt3jcAAJpCsAUAiFvZcilT5SHfrJJkqr/KlC1Xq/YLAIBwEGwBAOKWZXN46wPDbQcAQGsi2AIAxC+rtWXbAQDQishGCACIX9nZkt3uLaplmg3PG4Zkt8s9Olsupz9jvLKzSQUPAIg9ZrYAAPHLYpGKi71/N4zAcwcffzS1SFkDLBo7Vpo+XRo7VsrKotgxACD2CLYAAPEtL08qLZVstsDjdrs+urZUoxfkaWO5W2Pk1FSVaIycqix3Kz+fgAsAEFssIwQAxL+8PCk3V3K5/GsF3aOzdd4AiyabwQseF5rFKizMU24uSwoBALFBsAUASAwWi5ST43/ockqnlHsLHkuB+7lsqtAryld+Walcrry6lwEA0GpYRggASEhVFeEVPK6qoOAxACA2CLYAAAlp4JbwCh4P3ELBYwBAbBBsAQAS0pDe4RUyDrcdAAAtjWALAJCQkmzhFTIOtx0AAC2NYAsAkJgOFjw2ZQQ9bcqQMjO97QAAiIGEDbYeeeQRZWVlKTU1VSNHjtSKFSvCuu6ll16SYRiaPHlydDsIAIiugwWPDUMy6xU8Ng3DW/O4qEhuWeR0SiUlktMpucmXAQBoJQkZbC1cuFBz5szRvHnztGrVKg0dOlQTJ07U5s2bG71u/fr1uvbaa5XNbzkBoG04WPDYqFfw2LDbpdJSOZSnrCxp7Fhp+nTv16wsih0DAFpHQtbZevDBBzVjxgxdfvnlkqTHHntMb775pp5++mndeOONQa9xu9268MILdfvtt8vlcunHH39s9Dn279+v/fv3+x/v3LlTklRbW6va2tqWeSHN5Hv+WPcDiYMxg0gl1Jg5+2xp0iQZy5b5Cx6bp52m197ooKlTTRmmW2O0TFZVqlJWLSs/Tfn5Fr30kltTpphN3x9hSagxg7jAmEGk4mnMhNsHwzTNhHqnqampUVpamkpLSwOWAl566aX68ccftWjRoqDXzZs3T59++qlee+01XXbZZfrxxx/1+uuvh3ye2267TbfffnuD4y+++KLS0tIO92UAAKLI7ZZmzpyg07e9pWIVKlPl/nNlsqtARXKl/0KPP75EFksMOwoASEjV1dWaPn26duzYoa5du4Zsl3AzW1u3bpXb7VafPn0Cjvfp00dfffVV0GuWLVumv/71r1q9enXYz3PTTTdpzpw5/sc7d+5UZmamJkyY0Og3tDXU1tZqyZIlGj9+vJKTk2PaFyQGxgwilehj5l//MnT6tjdUqvMkBf5O0aYKleo85W8tVdeu52jMmIT6nWPcSvQxg9bHmEGk4mnM+Fa9NSXhgq1I7dq1SxdffLGefPJJpaenh31dSkqKUlJSGhxPTk6O+T+uTzz1BYmBMYNIJeqY2brJrWIVSDIbbE5OkimPDBWpUMs35So5uc2/FbaqRB0ziB3GDCIVD2Mm3OdPuHeY9PR0WSwWbdq0KeD4pk2b1Ldv3wbtv/vuO61fv15nn322/5jH45EkdejQQV9//bUGDBgQ3U4DAFrVwC2ugKWD9SXJVH+VafsWl6ScVusXAKB9SbhshB07dtSwYcP03nvv+Y95PB699957GjVqVIP2AwcO1Jo1a7R69Wr/n3POOUdjx47V6tWrlZmZ2ZrdBwC0giG9K1u0HQAAzZFwM1uSNGfOHF166aUaPny4RowYoaKiIu3Zs8efnfCSSy6RzWbT/PnzlZqaqhNPPDHg+u7du0tSg+MAgLYhyWZt0XYAADRHQgZbF1xwgbZs2aK5c+eqqqpKJ510khYvXuxPmrFhwwYlJSXcpB0AoKVkZ0t2u8zyChlqmADDlCEj0+5tBwBAlCRksCVJs2bN0qxZs4KeczqdjV777LPPtnyHAADxw2KRiotl5Od7A6s6VU5Mw5AhSUVFksUit1tyufwlupSdLdLBAwBaBNM/AIC2KS9PKi2VYbMFHDbsdqm0VMrLk8MhZWVJY8dK06d7v2ZlSQ5HTHoMAGhjEnZmCwCAJuXlSbm5QaeuHA4pP18yTLfGyCWrKlUpq5aVZys/3+KLxwAAaDaCLQBA22axSDk5AYfcbqmgQJpsOlSsgoA08WWyq9AsVmFhnnJzWVIIAGg+lhECANodl0s6pdyhUuXLVq8el00VekX5Gl7mkMsVow4CANoEgi0AQLtTVeFWsQokmQ3eCJMOZi8sUqGqKtyt3jcAQNtBsAUAaHcGbnEpU+Uh3wSTZKq/yjRwC1NbAIDmI9gCALQ7Q3pXtmg7AACCIdgCALQ7STZri7YDACAYgi0AQPuTnS3Z7TK95Y0bMGVImZnedgAANBPBFgCg/bFYpOJiGYZkGoEBl2kYMgxJRUXkfQcAHBaCLQBA+5SXJ5WWyrDZAg4bdrt8FY3dbsnplEpKvF/dJCcEAESAosYAgPYrL0/KzfUW3qqslKxW79JBi0UOhzT7d24dVeGSVZWqlFXrbNl66E8W5eXFuuMAgERAsAUAaN8sFiknJ+CQwyG9cK5Dy1SgzDpFj8sq7Co8t1h6NY+ACwDQJJYRAgBQh9stvT3ToVeUL1udQEuSbKrQK8rX4pkOlhQCAJpEsAUAQB0up1tztxVIMhu8SSbJlCTdsq1QLifRFgCgcQRbAADU4Xa6lKnykG+QSTLVX2VyO12t2i8AQOIh2AIAoA6rKlu0HQCg/SLYAgCgjuNyrC3aDgDQfhFsAQBQhyUnW9W97PLICHreI0PVvTJlyclu5Z4BABINwRYAAHVZLEp7oliG1CDg8siQISntiSJvyngAABpBsAUAQH15eTJeLZVhtwUcNux2Ga+WSnl5crslp1MqKfF+JRU8AKA+ihoDABBMXp6M3FzJ5ZIqKyWrVUZ2tmSxyOGQCgqk8jpluOx2qbhYFDsGAPgRbAEAEIrFIuXkBBxyOKT8fMkw3Rojl6yqVKWsWlaerfx8i0pLCbgAAF4sIwQAIExut3dGa7Lp0HplyamxKtF0OTVW65SlKaZDhYUsKQQAeBFsAQAQJpdLOqXcoVLly6bygHM2VegV5Wt4mUMu6h0DAESwBQBA2Koq3CpWgSSzwRtokkxJUpEKVVXB1BYAgGALAICwDdziUqbKQ755JslUf5Vp4BamtgAABFsAAIRtSO/KFm0HAGjbCLYAAAhTks3aou0AAG0bwRYAAOHKzpbsdpkygp42ZUiZmd52AIB2j2ALAIBwWSxScbEMQzKNwIDLNAwZhqSiIrllkdMplZRITiep4AGgvSLYAgAgEnl5UmmpDJst4LBht0ulpXIoT1lZ0tix0vTp3q9ZWd5iyACA9qVDrDsAAEDCycuTcnO9hbcqKyWrVcrOlmORRfn5kmG6NUYuWVWpSlm1rDxb+fkWlZZ6LwUAtA8EWwAANIfFIuXk+B+63VJBgTTZdKhYBcqsU/S4THYVmsUqLMxTbq73UgBA28cyQgAAWoDLJZ1S7lCp8mWrE2hJkk0VekX5Gl7mkIsSXADQbhBsAQDQAqoq3CpWgSSzwZtrkkxJUpEKVVVBtgwAaC8ItgAAaAEDt7iUqfKQb6xJMtVfZRq4haktAGgvCLYAAGgBQ3pXtmg7AEDiI9gCAKAFJNmsLdoOAJD4CLYAAGgJ2dmS3S5TRtDTpgwpM9PbDgDQLhBsAQDQEiwWqbhYhiGZRmDAZRqGDENSURF53wGgHSHYAgCgpeTlSaWlMmy2gMOG3S5fRWO3W3I6pZIS71c3yQkBoM2iqDEAAC0pL0/KzfUW3qqslKxW79JBi0UOh7fwcXmdMlx2u1Rc7L0MANC2EGwBANDSLBYpJyfgkMMh5edLhunWGLlkVaUqZdWy8mzl51t8E18AgDaEZYQAAESZ2+2d0ZpsOrReWXJqrEo0XU6N1TplaYrpUGEhSwoBoK0h2AIAIMpcLumUcodKlS+bygPO2VShV5Sv4WUOuah3DABtCsEWAABRVlXhVrEKJJkN3niTZEqSilSoqgqmtgCgLSHYAgAgygZucSlT5SHfdJNkqr/KNHALU1sA0JYQbAEAEGVDele2aDsAQGIg2AIAIMqSbNYWbQcASAwEWwAARFt2tmS3y5QR9LQpQ8rM9LYDALQZBFsAAESbxSIVF8swJNMIDLhMw5BhSCoq8rYDALQZBFsAALSGvDyptFSGzRZw2LDb5ato7HZLTqdUUuL9St0tAEhsHWLdAQAA2o28PCk311t4q7JSslq9SwctFjkc0uzfuXVUhUtWVapSVq2zZeuhP1mUlxfrjgMAmoNgCwCA1mSxSDk5AYccDumFcx1apgJl1il6XFZhV+G5xdKreQRcAJCADmsZYW1trcrKyvT1119r+/btLdUnAADaDbdbenumQ68oX7Y6gZYk2VShV5SvxTMdLCkEgAQUcbC1a9cu/eUvf9GYMWPUtWtXZWVladCgQerdu7eOPPJIzZgxQytXroxGXwEAaHNcTrfmbiuQZDZ4U06SKUm6ZVuhXE6iLQBINBEFWw8++KCysrL0zDPPaNy4cXr99de1evVq/e9//9OHH36oefPm6cCBA5owYYLOPPNMffPNN9HqNwAAbYLb6VKmykO+ISfJVH+Vye10tWq/AACHL6Jga+XKlXr//fe1YsUK3XrrrZo4caIGDx6sY445RiNGjNCvfvUrPfPMM6qsrNTkyZPlckXvjeGRRx5RVlaWUlNTNXLkSK1YsSJk2yeffFLZ2dnq0aOHevTooXHjxjXaHgCA1mJVZYu2AwDEj4iCrZKSEp1wwgmSpNGjR2vnzp1B26Wmpuqqq67Sr371q8PvYRALFy7UnDlzNG/ePK1atUpDhw7VxIkTtXnz5qDtnU6npk2bpqVLl+rDDz9UZmamJkyYoIqKiqj0DwCAcB2XY23RdgCA+NHsBBkfffSR9u3b1+D4zp07dcMNNxxWp5ry4IMPasaMGbr88st1/PHH67HHHlNaWpqefvrpoO1feOEFXX311TrppJM0cOBAPfXUU/J4PHrvvfei2k8AAJpiyclWdS+7PDKCnvfIUHWvTFlyslu5ZwCAwxVx6vf8/HwNHz5chmFo8+bNysjICDi/Z88eLViwQPfee2+LdbKumpoaffzxx7rpppv8x5KSkjRu3Dh9+OGHYd2jurpatbW16tmzZ8g2+/fv1/79+/2PfbN4tbW1qq2tbWbvW4bv+WPdDyQOxgwixZhpXR0ffUDGBVPlkeFPiiF5Ay1DUsdHF6jW45E8nth1sgmMGUSKMYNIxdOYCbcPEQdb/fv319///neZpqmhQ4eqV69eGjp0qIYOHaqTTjpJX3/9tazW6C112Lp1q9xut/r06RNwvE+fPvrqq6/CuscNN9ygfv36ady4cSHbzJ8/X7fffnuD4++8847S0tIi63SULFmyJNZdQIJhzCBSjJlWkpIi6w3X68SnnlLatm3+w/t69dJnV16hypQUuf/vLX3xRS/98EOqevTYp+OP3yaLJYZ9DoExg0gxZhCpeBgz1dXVYbWLONh68MEHJUkdO3bUBx98oI0bN+qTTz7R6tWr9dprr8nj8ei+++6L9Lat5p577tFLL70kp9Op1NTUkO1uuukmzZkzx/94586d/r1eXbt2bY2uhlRbW6slS5Zo/PjxSk5OjmlfkBgYM4gUYyYGJk2SbrtNB5YtkyorJatVyaedpp9aLFr/mqE5cyyqqDi01NBmM/Xgg25NmWI2ctPWw5hBpBgziFQ8jZlQuSvqizjY8tmzZ4//Rebm5jb3NhFLT0+XxWLRpk2bAo5v2rRJffv2bfTaBQsW6J577tG7776rIUOGNNo2JSVFKSkpDY4nJyfH/B/XJ576gsTAmEGkGDOtLDlZqrfqwuGQpk6VDNOtMXLJqkpVyqplFdmaOrWDSkulvLwY9TcIxgwixZhBpOJhzIT7/M1OkBGrF9ixY0cNGzYsILmFL9nFqFGjQl5333336Y477tDixYs1fPjw1ugqAACHxe2WCgqkyaZD65Ulp8aqRNPl1FitU5ammA4VFnrbAQDiT0TB1oYNGyK6ebRSq8+ZM0dPPvmknnvuOX355Zf6zW9+oz179ujyyy+XJF1yySUBCTTuvfde3XrrrXr66aeVlZWlqqoqVVVVaffu3VHpHwAALcHlkk4pd6hU+bKpPOCcTRV6RfkaXuZQFMtaAgAOQ0TB1imnnKJf//rXWrlyZcg2O3bs0JNPPqkTTzxRr7766mF3MJgLLrhACxYs0Ny5c3XSSSdp9erVWrx4sT9pxoYNG1RZeaj441/+8hfV1NQoPz9fVqvV/2fBggVR6R8AAC2hqsKtYhVIMhu8YfuyFhapUFUVTG0BQDyKaM/WWWedpc6dO2v8+PFKTU3VsGHD1K9fP6WmpuqHH37QF198oc8//1wnn3yy7rvvPk2aNCla/dasWbM0a9asoOecTmfA4/Xr10etHwAARMvALS5l1pvRqitJpvqrTNu3uCTltFq/AADhiSjYev7551VWVqY77rhDvXv3ltVq1datW7V3716lp6frwgsv1MSJE3XiiSdGq78AALQbQ3pXNt0ognYAgNYVUbDVr18/rV69WhMnTtTevXt19913NyhqDAAAWkaSLby6leG2AwC0roj2bP3+97/X2WefrezsbBmGoRdeeEErV67U3r17o9U/AADar+xsyW6XKSPoaVOGlJnpbQcAiDsRBVu//e1v9Z///EdnnnmmTNPUI488olGjRqlr164aNGiQpk6dqnvuuUdvv/12tPoLAED7YbFIxcUyDMk0AgMu0zBkGJKKirztAABxJ+I6W0OGDNHNN9+sAQMG6KOPPtKuXbu0bNkyFRYWqkePHlq0aJHOP//8aPQVAID2Jy9PKi2VYbMFHDbsdvkqGrvdktMplZR4v1J3CwDiQ0R7tur65ptv/H8fOXKkRo4c6X9smubh9QoAABySlyfl5noLb1VWSlard+mgxSKHQ5r9O7eOqnDJqkpVyqp1tmw99CeL8vJi3XEAaN+aHWw1xjCCry0HAADNZLFIOTkBhxwO6YVzHVqmgoAU8WUVdhWeWyy9mkfABQAxFPEyQgAAEHtut/T2TIdeUb5s9Wpx2VShV5SvxTMdLCkEgBgi2AIAIAG5nG7N3VYgyWzwZp4k73L+W7YVyuUk2gKAWCHYAgAgAbmdLmWqPOQbeZJM9VeZ3E5Xq/YLAHAIwRYAAAnIqsoWbQcAaHkEWwAAJKDjcqwt2g4A0PIItgAASECWnGxV97LLo+AZgD0yVN0rU5ac7FbuGQDAh2ALAIBEZLEo7YliGVKDgMsjQ4aktCeKvCnjAQAxQbAFAECiysuT8WqpDLst4LBht8t4tVS+Iltut+R0SiUl3q+kgweA1hGVosYAAKCV5OXJyM2VXC6pslKyWmVkZ/tntBwOqaBAKq9Tistul4qLRcFjAIgygi0AABKdxSLl5DQ47HBI+fmSYbo1Ri5ZValKWbWsPFv5+RaVlhJwAUA0sYwQAIA2yO32zmhNNh1aryw5NVYlmi6nxmqdsjTFdKiwkCWFABBNBFsAALRBLpd0SrlDpcqXTeUB52yq0CvK1/Ayh1zUPAaAqCHYAgCgDaqqcKtYBZLMBm/2STIlSUUqVFUFU1sAEC0EWwAAtEEDt7iUqfKQb/RJMtVfZRq4haktAIgWgi0AANqgIb0rW7QdACByBFsAALRBSTZri7YDAESOYAsAgLYoO1uy22XKCHralCFlZnrbAQCigmALAIC2yGKRiotlGJJpBAZcpmHIMCQVFfmLHwMAWh7BFgAAbVVenlRaKsNmCzhs2O3yVTR2uyWnUyop8X6l7hYAtJwOse4AAACIorw8KTfXW3irslKyWr1LBy0WORzewsfldcpw2e1ScbH3MgDA4SHYAgCgrbNYpJycgEMOh5SfLxmmW2PkklWVqpRVy8qzlZ9v8U18AQAOA8sIAQBoZ9xu74zWZNOh9cqSU2NVoulyaqzWKUtTTIcKC1lSCACHi2ALAIB2xuWSTil3qFT5sqk84JxNFXpF+Rpe5pCLescAcFgItgAAaGeqKtwqVoEks8EHgSSZkqQiFaqqgqktADgcBFsAALQzA7e4lKnykB8CkmSqv8o0cAtTWwBwOAi2AABoZ4b0rmzRdgCA4Ai2AABoZ5Js1hZtBwAIjmALAID2Jjtbsttlygh62pQhZWZ62wEAmo1gCwCA9sZikYqLZRiSaQQGXKZhyDAkFRXJLYucTqmkRHI6SQUPAJEi2AIAoD3Ky5NKS2XYbAGHDbtdKi2VQ3nKypLGjpWmT/d+zcryFkMGAISnQ6w7AAAAYiQvT8rN9RbeqqyUrFYpO1uORRbl50uG6dYYuWRVpSpl1bLybOXnW1Ra6r0UANA4gi0AANozi0XKyfE/dLulggJpsulQsQqUWafocZnsKjSLVViYp9xc76UAgNBYRggAAPxcLumUcodKlS9bnUBLkmyq0CvK1/Ayh1yU4AKAJhFsAQAAv6oKt4pVIMls8CEhSaYkqUiFqqogWwYANIVgCwAA+A3c4lKmykN+QEiSqf4q08AtTG0BQFMItgAAgN+Q3pUt2g4A2jOCLQAA4Jdks7ZoOwBozwi2AADAIdnZkt0uU0bQ06YMKTPT2w4A0CiCLQAAcIjFIhUXyzAk0wgMuEzDkGFIKiqSWxY5nVJJieR0elPGAwACEWwBAIBAeXlSaakMmy3gsGG3S6WlcihPWVnS2LHS9Oner8cc00EffsjSQgCoi6LGAACgobw8KTfXW3irslKyWqXsbDkWWZSfLxmmW2PkklWVqpRVyypO0733nqKTT3br/PNj3XkAiA8EWwAAIDiLRcrJ8T90u6WCAmmy6VCxCpRZp+hxmewqUJF+//s8nXuu91IAaO9YRggAAMLickmnlDtUqnzZ6gRakmRThUp1nk4pf00uSnABgCSCLQAAEKaqCreKVSDJbPABIkmmJKlIhaqqIFsGAEgEWwAAIEwDt7iUqfKQHx6SZKq/yjRwC1NbACARbAEAgDAN6V3Zou0AoK0j2AIAAGFJsoWX2j3cdgDQ1hFsAQCA8GRnS3a7TBlBT5uSTLvd2w4AQLAFAADCZLFIxcUyDMk0AgMu32P3Aw/ILYucTqmkRHI6vSnjAaA9ItgCAADhy8uTSktl2GyBx202rbzhBjmUp6wsaexYafp079esLMnhiEVnASC2CLYAAEBk8vKk9eulpUulF1+Uli7VgW++kUN5mjrVoo3lbo2RU1NVojFyqrLcrfx8Ai4A7U/CBluPPPKIsrKylJqaqpEjR2rFihWNtn/llVc0cOBApaamavDgwXrrrbdaqacAALRBFouUkyNNmybl5Mgti556arAmmw6tV5acGqsSTZdTY7VOWZpiOlRYyJJCAO1LQgZbCxcu1Jw5czRv3jytWrVKQ4cO1cSJE7V58+ag7ZcvX65p06bpiiuu0CeffKLJkydr8uTJ+uyzz1q55wAAtE3Llhk6fdvbKtV5sqk84JxNFXpF+Rpe5pCLElwA2pGEDLYefPBBzZgxQ5dffrmOP/54PfbYY0pLS9PTTz8dtH1xcbHOPPNMXXfddRo0aJDuuOMOnXzyyfrzn//cyj0HAKBtqqpwq1gFkswGHy6SZEqSilSoqgqmtgC0Hx1i3YFI1dTU6OOPP9ZNN93kP5aUlKRx48bpww8/DHrNhx9+qDlz5gQcmzhxol5//fWQz7N//37t37/f/3jnzp2SpNraWtXW1h7GKzh8vuePdT+QOBgziBRjBpH6yaZ/KbPejFZdSTLVX2XaUuVUbe3prdgzxCt+ziBS8TRmwu1DwgVbW7duldvtVp8+fQKO9+nTR1999VXQa6qqqoK2r6qqCvk88+fP1+23397g+DvvvKO0tLRm9LzlLVmyJNZdQIJhzCBSjBmEy1r5fljt3OVv6a23dke5N0gk/JxBpOJhzFRXV4fVLuGCrdZy0003BcyG7dy5U5mZmZowYYK6du0aw555I+klS5Zo/PjxSk5OjmlfkBgYM4gUYwaRcqekSEUPNtnu5LN+IXPMmFboEeIdP2cQqXgaM75Vb01JuGArPT1dFotFmzZtCji+adMm9e3bN+g1ffv2jai9JKWkpCglJaXB8eTk5Jj/4/rEU1+QGBgziBRjBmHLydHeXr2Uum27jIN7tOoyZcjItKvD2LHeTIbAQfycQaTiYcyE+/wJlyCjY8eOGjZsmN577z3/MY/Ho/fee0+jRo0Kes2oUaMC2kve6cdQ7QEAQIQsFq258krJkEzDCDhlGoYMQ1JRkdyyyOmUSkokp5NU8ADatoQLtiRpzpw5evLJJ/Xcc8/pyy+/1G9+8xvt2bNHl19+uSTpkksuCUigUVBQoMWLF+uBBx7QV199pdtuu03/+c9/NGvWrFi9BAAA2pzKUaPkfuklGTZbwHHDbpdKS+VQnrKypLFjpenTvV+zsih2DKDtSrhlhJJ0wQUXaMuWLZo7d66qqqp00kknafHixf4kGBs2bFBS0qE4cvTo0XrxxRd1yy236A9/+IOOPfZYvf766zrxxBNj9RIAAGiTzClTpHPPlVwuqbJSslql7Gw5FlmUny8Zpltj5JJVlaqUVcvKs5Wfb1FpqZSXF+veA0DLSshgS5JmzZoVcmbK6XQ2OHbeeefpvPPOi3KvAACALBYpJ8f/0O2WCgqkyaZDxSoISBFfJrsKzWIVFuYpN5ftXADaloRcRggAABKHyyWdUu5QqfJlq1eLy6YKvaJ8DS9zyOWKUQcBIEoItgAAQFRVVbhVrAJJZoMPHkkHMxcWqVBVFWTLANC2EGwBAICoGrjFpUyVh/zQkSRT/VWmgVuY2gLQthBsAQCAqBrSu7JF2wFAoiDYAgAAUZVks7ZoOwBIFARbAAAgurKzJbtdpoygp00ZUmamtx0AtCEEWwAAILosFqm4WIYhmUZgwGUahgxDUlGR3LLI6ZRKSiSn05syHgASGcEWAACIvrw8qbRUhs0WcNiw26XSUjmUp6wsaexYafp079esLMnhiElvAaBFJGxRYwAAkGDy8qTcXG/hrcpKyWqVsrPlWGRRfr5kmG6NkUtWVapSVi0rz1Z+vkWlpd5LASDREGwBAIDWY7FIOTn+h263VFAgTTYdKlaBMusUPS6TXYVmsQoL85Sb670UABIJywgBAEDMuFzSKeUOlSpftjqBliTZVKFXlK/hZQ65KMEFIAERbAEAgJipqnCrWAWSzAYfSpJkSpKKVKiqCrJlAEg8BFsAACBmBm5xKVPlIT+QJMlUf5Vp4BamtgAkHoItAAAQM0N6V7ZoOwCIJwRbAAAgZpJs1hZtBwDxhGyEAAAgdrKzJbtdZnmFjIN7tOoyZcjItMs9OlsuZ0DGeLITAoh7zGwBAIDYsVik4mIZhmQaRsAp0zBkGNJHU4uUNcBCwWMACYdgCwAAxFZenlRaKsNmCzhs2O366NpSjV6Qp/LArPCqqJDy8wm4AMQ3lhECAIDYy8uTcnO9hbcOrhV0j87WeQMsMk0pSW5lyyWrKlUpq1xmtkzDosJCUfAYQNwi2AIAAPHBYpFycvwPXU6pvFyaIoeKVaDMOkWPy2RXgVms18ry5HIFXAYAcYNlhAAAIC5VVnoDrVLly6bAdYQ2VahU+ZoihyrJCg8gThFsAQCAuGTNcKtYBZLMBh9Ykg5mLixSoawZ7lbvGwCEg2ALAADEpWy5lKnykB9WkmSqv8qULVer9gsAwkWwBQAA4pJlc3jrA8NtBwCtjQQZAAAgPlmtYTVzZ1gpeAwgLhFsAQCA+JSdLdnt3qJaptnwvGGouqddgy7N1oaKQ4ftdqm42JtNHgBiiWWEAAAgPlks3qhJkgwj8JxhyDSli7cVaUNF4DQWBY8BxAuCLQAAEL/y8qTSUslmCzhs2uya2atUDuUpSW6NkVNTVaIxcsowvdkJCwslN4kKAcQQywgBAEB8y8uTcnMll8u/Metf7mw9Nc5CwWMAcY1gCwAAxD+LJSBqqiw5VPBYCtzP5St4nK9SVVaycQtA7LCMEAAAJBwKHgNIBARbAAAg4VDwGEAiINgCAAAJh4LHABIBe7YAAEDiCbPgsaxWud0BuTUoegyg1RBsAQCAxBNGwWPZ7XJsyVZBllR+KFkhRY8BtBqWEQIAgMTTRMFjSfpoapHyL7AEBFoSRY8BtB6CLQAAkJhCFDyW3S73y6U6ryRPpimKHgOIGZYRAgCAxBWk4LGys+VyeWe0KHoMIJYItgAAQGKrV/BY8sZdFD0GEGssIwQAAG0ORY8BxAOCLQAA0OZQ9BhAPGAZIQAAaHPCLWZsVFXK6aQGF4DoINgCAABtT5hFjy8otKp066HH1OAC0JJYRggAANoeX9Hj+jW4DjJlaIMy5diaHXCcGlwAWhLBFgAAaHsaKXpsGoZMSYUqkkeBawbNg4kLqcEFoCUQbAEAgLYpRNHj/el25atUrymvQcHjJLllmlJZmbd0FwAcDvZsAQCAtitI0ePXK7L12kWW0AWPVazXlKfK8HJsAEBIBFsAAKBtq1f0uK8zvILHVitZMgAcHoItAADQrmSPdusnlgLJHbzgsUeGHrYUqu/oXEnkgQfQfARbAACgXbEsd6mfuzzk+SSZsrnL5Ha55LTkUIMLQLMRbAEAgPYlzM1YBedX6pHthx5TgwtApMhGCAAA2pcwCx5/tj2wHTW4AESKYAsAALQvTRQ89hwseOxSYMFjanABiBTBFgAAaF8aK3gs7+NCFUkSNbgAHBaCLQAA0P6EKHhc3ctb8FiS1itLTo1ViabLqbFaryxNkXcNITW4AISDYAsAALRPeXnS+vXS0qXSiy9KS5dq5cJ1kqRS5cumwIyFvhpcU+QId9sXgHaObIQAAKD9qlfwOLuGGlwAWg7BFgAAwEHU4ALQkhJuGeH27dt14YUXqmvXrurevbuuuOIK7d69u9H2v/3tb3XcccepU6dO6t+/v373u99px44drdhrAACQECKowTV2rDR9ujR2rJSVRUp4AA0lXLB14YUX6vPPP9eSJUv097//Xe+//75mzpwZsv3GjRu1ceNGLViwQJ999pmeffZZLV68WFdccUUr9hoAACQEanABaEEJtYzwyy+/1OLFi7Vy5UoNHz5ckvTwww9r0qRJWrBggfr169fgmhNPPFGvvvqq//GAAQN011136aKLLtKBAwfUoUNCfQsAAEA0+WpwVVQcKqxVh0eGymUPWoPLMLw1uHJzWVIIwCuhIo0PP/xQ3bt39wdakjRu3DglJSXp3//+t6ZMmRLWfXbs2KGuXbs2Gmjt379f+/fv9z/euXOnJKm2tla1tbXNfAUtw/f8se4HEgdjBpFizCBSbWnMGA88IMvUqZJhyKgTcAWrwWVVpSpllUvZ8pgWlZVJS5ce0JgxDQM1BGpLYwatI57GTLh9SKhgq6qqShkZGQHHOnTooJ49e6qqqiqse2zdulV33HFHo0sPJWn+/Pm6/fbbGxx/5513lJaWFn6no2jJkiWx7gISDGMGkWLMIFJtYsykpMh6/fUa/NRT6rRtm//wj10ydMWuRyV5a3Bl1kkNXya7ClSs15Snt99erT17Klq924mqTYwZtKp4GDPV1dVhtYuLYOvGG2/Uvffe22ibL7/88rCfZ+fOnTrrrLN0/PHH67bbbmu07U033aQ5c+YEXJuZmakJEyaoa9euh92Xw1FbW6slS5Zo/PjxSk5OjmlfkBgYM4gUYwaRanNjZtIk6bbbdGDZMvlSDn7szpbOfFOlypcUOHPlq8GVr1L94hfnaMyYobHpdwJpc2MGURdPY8a36q0pcRFs/f73v9dll13WaJujjz5affv21ebNmwOOHzhwQNu3b1ffvn0bvX7Xrl0688wz1aVLF7322mtN/gOlpKQoJSWlwfHk5OSY/+P6xFNfkBgYM4gUYwaRalNjJjlZGjfO/3BsjVvHh1OD6/RcWZLj4iNWQmhTYwatIh7GTLjPHxc/CXr37q3evXs32W7UqFH68ccf9fHHH2vYsGGSpH/+85/yeDwaOXJkyOt27typiRMnKiUlRW+88YZSU1NbrO8AAKB9oAYXgEglVOr3QYMG6cwzz9SMGTO0YsUKffDBB5o1a5amTp3qz0RYUVGhgQMHasWKFZK8gdaECRO0Z88e/fWvf9XOnTtVVVWlqqoqud3uWL4cAACQSKjBBSBCcTGzFYkXXnhBs2bN0hlnnKGkpCSde+65+tOf/uQ/X1tbq6+//tq/aW3VqlX697//LUk65phjAu61bt06ZWVltVrfAQBAAjvMGlylpVJeXjQ6BiBeJVyw1bNnT7344oshz2dlZcmsk6Y1Jycn4DEAAECzUIMLQIQSahkhAABAzFgsUnGx9++GEXAqWA2uqSrRGDmVJLdMUyork1yu1uwwgFgj2AIAAAhXXp53PaDNFnC4updd+SqV5K3B5dRYlWi6nBqr9crSFHk3bYW57QtAG0GwBQAAEIm8PGn9emnpUunFF6WlS7Vy4TpJUqnyZVNgxkJfDa4pcoS77QtAG5Fwe7YAAABizmKRcnL8D7Nr3PpJGDW4eo/MldNpIS080E4QbAEAABymcGtwndffpdKtOf7jdrt3GxhZCoG2iWWEAAAAhyvMzVgdtga286WFpw4X0DYRbAEAAByuMDdjVSqwnS+DfGGh5Ha3cJ8AxBzBFgAAwOHy1eCqlxLexyNDG5SpDzSatPBAO0KwBQAAcLjCqMFVoqlaqwGkhQfaEYItAACAlhCiBtf+3nbdr2t1nRY0mhY+I0NyOqWSEu9XlhUCiY9shAAAAC0lL0/KzfWuCTyY3z155Ghd3GVAo2nh/5RUqFMvzdWGikN54MlUCCQ+gi0AAICWVK8Gl8XpbDItvN1TpqMqXNqgQ9f5MhWWlhJwAYmKZYQAAADRFOZmLKsC25GpEEh8BFsAAADR1My08JLIVAgkOJYRAgAARJMvLXxFxaHpqjo8MlQuuz8tvFWVqpRVLmXLI+8eLjIVAomJmS0AAIBoaoG08GFOjgGIMwRbAAAA0RYiLbzsdj3WufG08DN6OTR6NGnhgUTEMkIAAIDWECQtvDF6tC7rN0DaHTot/L01hTr2aNLCA4mIYAsAAKC11EsLL6dTadsaTwvfY1eZjtpFWnggEbGMEAAAIFZICw+0aQRbAAAAsRJm5otNytAYOTVVJRojp5LkJi08kABYRggAABArYaSF36aeek6XKbNOAo0y2VWgYr2mPFVWeme36mwFU3a2d8UigNhiZgsAACBWmkwLbypd20JmKpwih775RsrKksaOlaZP937NypIcjlZ5BQAaQbAFAAAQS6HSwtts+jGpl0w1/MCWJO8s2J+SCvXHeW6V18ux4UugQcAFxBbBFgAAQKzl5Unr10tLl0ovvigtXSrjuWfV07Mt5Ie1JJmye8p0mhpu2iKBBtoct1vGv/4l2/vvy/jXvxJmYBNsAQAAxANfWvhp07xfN28O67L6mQp9SKCBNsPhkJmVpQ7jx2v4gw+qw/jxMhNkrSzBFgAAQDwKM1NhpaxKkrtBtkL/+fCyywPxyeGQeW6+zHprZc3yCpnnxv9aWbIRAgAAxKMmMhWaMlQmu9K1VeuVFTJbYUaG5HSSqRAJyO1W9cwCpcoMum/RI0N7ZxYqLTc3bgc1M1sAAADxqJFMhTIMyZD+3nmqXtb5IbMVXtLZocsuI1MhEpPb6VLatvJG9y2mbSuT2xm/a2UJtgAAAOJVqEyFdruMhQt1WUqJFOK3/pJ0x+5CbSwPTCRApkLEI3eNW6uLnFr+2xKtLnLKXePW187w1sCG2y4WCLYAAADiWZBMhVq3Turdu8nf+vdXmbLrZSskUyHizUfXO7QpLUsnzR6r0X+erpNmj9WmtCytf/ebsK6vVHj7G2OBPVsAAADxzpepsK4wM18Ey1ZYN1Nh/dsCremj6x0acX++pMB9iX3dFTrzo3naql7qqe3+2dq6PDJULrssOdmt1NvIEWwBAAAkojCzFW5ShsbIKasqVSmrXMqWR95kAhUVJM9A7Lhr3Or/YIFCLYX1yPCHWB4ZAQGXR959jHf2KtJfcuJ30BJsAQAAJKImshV6ZGibeuo5XRYyU+Hs2dKWLYeusdu9OTny8lrjBaC9cbu9s6m+4L7Lxy4Nc5eHbJ8kU721Tbfqds3UkwHjuFx2zVaRLnwiL65/QUCwBQAAkIh82Qrz873ZCesEXObBx+na1mDxlS9TYb5K9dqWwKjKlzyjtJSACy3L4ZBm/86toypc/lnWnxxRoSfCuPbYM4/VaWvWB1y73p6tB4stcT9OCbYAAAASlS9bYUGBVKfoq2GzqebHvUrevS3k8qwiFWqRcv1LCiVvvGYY3uQZcVy6CAnG4ZBeONehZSoImJ3avCc9rOuHTLRq7d8tWrr0NL399mpd8YuTNHasJSHGJ8EWAABAIsvL80ZGdddnud1KGTcu5CV1MxX+SzkB53zJM5xOb7DFfi4cDrdbenumQ6+oYRKMdG2VefBosKyaHhmqtNg1+OpsWSzSmDGm9uyp0JgxQxNmLBJsAQAAJLr62QpLSsK6rJ8qQibPOP98afv2Q23Zz4Vw1N+X5a5xa+62UEkwJI8kQ6ETYJTNKZKtY4JEVkEQbAEAALQ1YWYqLNJsZehQhoy6yTPqBloS+7nQtGD7srp1dmuRGkuC4bXNSFe6eWgsVlrsKptTpJ/dl9iDjWALAACgrWkyU6F3NiG9TqAl1UueocAPueznQmNC7cvatrtnWNdX3fCQyvvYVP1dpdIGWDX46uyEntHyIdgCAABoaxrJVCjp4AKthvtkGkueIbGfC171lwqOHh16X1YPbQ9+k3oGjbPJckZOy3c2xgi2AAAA2qIQmQrVu7eMLVtCXtZY8gwf9nO1Xw5HwyGV0cut/zSyL8sXfhlqyCND+3rZlZaTHZX+xhrBFgAAQFsVLFNhRYV00UVNXtpY8gz2c7VPDsfByVLTrTE6tC8raZs7YOlgfb4gy6PA2VSPDBmS0p4oarNTowRbAAAAbVn9TIVOZ1iXNZY8oz72c7U9wZYKFhRIk02Hiuvvy1J4+7IOdOmpjrsOReqG3S6juKhNR+gEWwAAAO1JE8kzfEciSZ4hsZ+rLQm2VDA9Xcre6lDpYezLspS+LHU8NDiMdjA4CLYAAADakzCSZwQrMttU8gwf9nMltlBLBT/YOlrFOsx9WWfktPngqj6CLQAAgPamkeQZ2rIl6Adm6VDyjDFyyiML+7kSXCRLBTcrXRnaGvJe7XlfVmMItgAAANqjw0ie8YrOV686S8fC3c/1y19Ky5d7n653b0Nud0u+IEQi0qWC6Y0EWnUZPXsGRNztYV9WYwi2AAAA2qtmJs/oWW+PTrj7uex26VDW+Q7q1WuCHn3U0PnnN6v3aCbfUsH6W/a2b3U3ulQwHMbLLwds2msP+7IaQ7AFAAAAryaSZ0je+Y76ywzr7uf6P/1Sp2p50CWG9ct7bduWqqlTpQ4d2u3ER9SFWipomlKS3Mqum8Jdjadwb4wpQ0am3Ru8t+Pgqj6CLQAAAHg1kTxDCp4AQTq0n6tC9rBTxvvScdRfYkgWw5YRaqng1q3SFDU/hXv9gNs0vPuyVFTEP1o94c4IAgAAoD3wJc+w2QKP9wzvg3jvECnjp8gRtL1pGv4lhmPHStOne79mZXmDBTTN7fauAC0p8X51uw8tFSyvN1HlC7RKlS9bvVmscFO4G717Bz6228mAEgIzWwAAAAgULHmG2y2NG9fkpY0tMWwsZXz9JYZ1sxjW7wqzXocEm72y2aR9+4IvFfxAzU/h7l8q+O23TEOGiWALAAAADdVPnuF2N7mfK5RwUsbX58tiOHNmw2CiPdbuqr/3KjtbWrQoeKKLigrv12BLBcNN4d7oUsGOHQPHBkIi2AIAAEDTwtjP1ZRIUsZL3qfYtq3h8fq1u4IFIok20dLYa4h09sqlbOVqUYuncFdRUfuKcFsAwRYAAADC00Qx5KY0ljJ+kXIbBAxNzXoVFkoejzR7duiZr3gKxEL1JVgw5XsNUuSzV2WyqZP26XBSuKteCveEjGDjAMEWAAAAwhdsP9fo0dKAAc1OGf+4ZgYJGJqe9Sork847r+E538zXtdd6k0Y0JxBrbpAWaUA1bZq0YEHwYOrcc6VevUJPIvoSXdSfvbKpovlZ8AzD2zFSuLcIgi0AAABEpv5+LumwUsb31jbVv6KpQsmN8T39/fc3PBdOICY1vk+spQKq8vLgfaz7GnzLKCNNdNEsxsF/JVK4t5iES/2+fft2XXjhheratau6d++uK664Qrt37w7rWtM09Ytf/EKGYej111+PbkcBAADak8NMGR9s1kuSilSoDqrRGDk1VSUaI6eS5G52N03T++f++xumRffNJp17bvBz+fnS9dd709LXT1N//fXBU637AqpmbHHzmyKH1itLTo1ViabLqbGqkE2ZKj+8D/P1UriLFO4tLuFmti688EJVVlZqyZIlqq2t1eWXX66ZM2fqxRdfbPLaoqIiGUao36sAAADgsBxGyvhgwi2UHCxBRKj9Xo1pLCBqbLassRmqcIV6DaGWCoab6CIo31JBUrhHXUIFW19++aUWL16slStXavjw4ZKkhx9+WJMmTdKCBQvUr1+/kNeuXr1aDzzwgP7zn//IarW2VpcBAADalxZMGe8TqlByvkolKeL9XrHSWEAV7DXM1oN6SHMUtaWCpHCPuoQKtj788EN1797dH2hJ0rhx45SUlKR///vfmjJlStDrqqurNX36dD3yyCPq27dvWM+1f/9+7d+/3/94586dkqTa2lrV1tYexqs4fL7nj3U/kDgYM4gUYwaRYsygMcYDD8gydapkGDLqBFzBkmYEvb7e4ySZMmXoyaSZ6uHZrmAJIsLJcthSM2KBfYssoHpR03SdFgR9DS/r/GYHVaZheJdwpqbK8KUulGTabHI/8IDMs8+WEuz/azz9nAm3DwkVbFVVVSkjIyPgWIcOHdSzZ09VVVWFvG727NkaPXq0cnNzw36u+fPn6/bbb29w/J133lFaWlr4nY6iJUuWxLoLSDCMGUSKMYNIMWYQVEqKrNdfr8FPPaVOdQpn7e3VS5aaGnXctSusoKsuQ6Z6ebY1O8uh1PiMWGOBWMsFVOW6XvcffD3BXkN4GhQgliTT1Morr1TliBHq9cUXSv3hB+3r0UPbjj/eO/v41lth3j3+xMPPmerq6rDaxUWwdeONN+ree+9ttM2XX37ZrHu/8cYb+uc//6lPPvkkoutuuukmzZkzx/94586dyszM1IQJE9S1a9dm9aWl1NbWasmSJRo/frySk5Nj2hckBsYMIsWYQaQYM2jSpEnSbbfpwLJlUmWlDvTurSXV1Tpz/37pwgu9AUMLzHr5NJ7l8FwZqh/6HJoRu1+/13S9FFGQ1ryAqnFhz2qlp0tb6+zhstvlfuAB/XTKFP1Uks4+O9w7xbV4+jnjW/XWlLgItn7/+9/rsssua7TN0Ucfrb59+2rz5s0Bxw8cOKDt27eHXB74z3/+U9999526d+8ecPzcc89Vdna2nE5n0OtSUlKUkpLS4HhycnLM/3F94qkvSAyMGUSKMYNIMWbQqORkf7IMs7ZWeustJeXny0hJaZAz3QizUHJTgi9B9P294TmPpOu1IMIgrfkB1WE5mOjCqJfowsjOVoc2nOgiHn7OhPv8cRFs9e7dW73rp54MYtSoUfrxxx/18ccfa9iwYZK8wZTH49HIkSODXnPjjTfqyiuvDDg2ePBgPfTQQzq7jUT5AAAACa2ZhZKbq7EZs6QQbRoP0lpB/fplJLpICAlVZ2vQoEE688wzNWPGDK1YsUIffPCBZs2apalTp/ozEVZUVGjgwIFasWKFJKlv37468cQTA/5IUv/+/XXUUUfF7LUAAACgDl8Ww2nTvF87djxUYbh+6R7f4169Gp6LIkPhLW1suSc0pMxM6ZVXGtYvoyZWQkioYEuSXnjhBQ0cOFBnnHGGJk2apNNOO01PPPGE/3xtba2+/vrrsDetAQAAIE6FKpRst0uvvir5PgO2hTqqoQLKoiJvteT166WlS6UXX/R+XbeOQCsBxMUywkj07Nmz0QLGWVlZMpuYam7qPAAAAOJEsCWGdYvvlpY22O8lu13au1favr3FlyAellBLAa+9ViopafgaiooOBVT165chISRcsAUAAIB2prFAI1QwtmiRd0YoWIDje1z/XEtobkA1f37ogBIJi2ALAAAAiS1YMOZbghhs1quoyPv3+ucyM6WpU6UFC7yPww3SWiKgYuaqTSLYAgAAQNvU1BLEUOd+9rPIgjQCKoRAsAUAAIC2q7EAJ9S55gZpTT0f2h2CLQAAAKC+5gRpQD0Jl/odAAAAABIBwRYAAAAARAHBFgAAAABEAcEWAAAAAEQBwRYAAAAARAHBFgAAAABEAcEWAAAAAEQBwRYAAAAARAHBFgAAAABEAcEWAAAAAEQBwRYAAAAARAHBFgAAAABEAcEWAAAAAERBh1h3IFGYpilJ2rlzZ4x7ItXW1qq6ulo7d+5UcnJyrLuDBMCYQaQYM4gUYwaRYswgUvE0ZnwxgS9GCIVgK0y7du2SJGVmZsa4JwAAAADiwa5du9StW7eQ5w2zqXAMkiSPx6ONGzeqS5cuMgwjpn3ZuXOnMjMzVVZWpq5du8a0L0gMjBlEijGDSDFmECnGDCIVT2PGNE3t2rVL/fr1U1JS6J1ZzGyFKSkpSXa7PdbdCNC1a9eYDzQkFsYMIsWYQaQYM4gUYwaRipcx09iMlg8JMgAAAAAgCgi2AAAAACAKCLYSUEpKiubNm6eUlJRYdwUJgjGDSDFmECnGDCLFmEGkEnHMkCADAAAAAKKAmS0AAAAAiAKCLQAAAACIAoItAAAAAIgCgi0AAAAAiAKCrTj1yCOPKCsrS6mpqRo5cqRWrFjRaPtXXnlFAwcOVGpqqgYPHqy33nqrlXqKeBHJmHnyySeVnZ2tHj16qEePHho3blyTYwxtT6Q/Z3xeeuklGYahyZMnR7eDiDuRjpkff/xR11xzjaxWq1JSUvSTn/yE96d2JtIxU1RUpOOOO06dOnVSZmamZs+erX379rVSbxFL77//vs4++2z169dPhmHo9ddfb/Iap9Opk08+WSkpKTrmmGP07LPPRr2fkSLYikMLFy7UnDlzNG/ePK1atUpDhw7VxIkTtXnz5qDtly9frmnTpumKK67QJ598osmTJ2vy5Mn67LPPWrnniJVIx4zT6dS0adO0dOlSffjhh8rMzNSECRNUUVHRyj1HrEQ6ZnzWr1+va6+9VtnZ2a3UU8SLSMdMTU2Nxo8fr/Xr16u0tFRff/21nnzySdlstlbuOWIl0jHz4osv6sYbb9S8efP05Zdf6q9//asWLlyoP/zhD63cc8TCnj17NHToUD3yyCNhtV+3bp3OOussjR07VqtXr1ZhYaGuvPJK/eMf/4hyTyNkIu6MGDHCvOaaa/yP3W632a9fP3P+/PlB259//vnmWWedFXBs5MiR5q9//euo9hPxI9IxU9+BAwfMLl26mM8991y0uog405wxc+DAAXP06NHmU089ZV566aVmbm5uK/QU8SLSMfOXv/zFPProo82amprW6iLiTKRj5pprrjF//vOfBxybM2eOeeqpp0a1n4g/kszXXnut0TbXX3+9ecIJJwQcu+CCC8yJEydGsWeRY2YrztTU1Ojjjz/WuHHj/MeSkpI0btw4ffjhh0Gv+fDDDwPaS9LEiRNDtkfb0pwxU191dbVqa2vVs2fPaHUTcaS5Y+aPf/yjMjIydMUVV7RGNxFHmjNm3njjDY0aNUrXXHON+vTpoxNPPFF333233G53a3UbMdScMTN69Gh9/PHH/qWGa9eu1VtvvaVJkya1Sp+RWBLl82+HWHcAgbZu3Sq3260+ffoEHO/Tp4+++uqroNdUVVUFbV9VVRW1fiJ+NGfM1HfDDTeoX79+DX5ooW1qzphZtmyZ/vrXv2r16tWt0EPEm+aMmbVr1+qf//ynLrzwQr311lv69ttvdfXVV6u2tlbz5s1rjW4jhpozZqZPn66tW7fqtNNOk2maOnDggK666iqWESKoUJ9/d+7cqb1796pTp04x6lkgZraAdu6ee+7RSy+9pNdee02pqamx7g7i0K5du3TxxRfrySefVHp6eqy7gwTh8XiUkZGhJ554QsOGDdMFF1ygm2++WY899lisu4Y45XQ6dffdd+vRRx/VqlWr5HA49Oabb+qOO+6IddeAZmNmK86kp6fLYrFo06ZNAcc3bdqkvn37Br2mb9++EbVH29KcMeOzYMEC3XPPPXr33Xc1ZMiQaHYTcSTSMfPdd99p/fr1Ovvss/3HPB6PJKlDhw76+uuvNWDAgOh2GjHVnJ8zVqtVycnJslgs/mODBg1SVVWVampq1LFjx6j2GbHVnDFz66236uKLL9aVV14pSRo8eLD27NmjmTNn6uabb1ZSEnMEOCTU59+uXbvGzayWxMxW3OnYsaOGDRum9957z3/M4/Hovffe06hRo4JeM2rUqID2krRkyZKQ7dG2NGfMSNJ9992nO+64Q4sXL9bw4cNbo6uIE5GOmYEDB2rNmjVavXq1/88555zjzwCVmZnZmt1HDDTn58ypp56qb7/91h+YS9L//vc/Wa1WAq12oDljprq6ukFA5QvWTdOMXmeRkBLm82+sM3SgoZdeeslMSUkxn332WfOLL74wZ86caXbv3t2sqqoyTdM0L774YvPGG2/0t//ggw/MDh06mAsWLDC//PJLc968eWZycrK5Zs2aWL0EtLJIx8w999xjduzY0SwtLTUrKyv9f3bt2hWrl4BWFumYqY9shO1PpGNmw4YNZpcuXcxZs2aZX3/9tfn3v//dzMjIMO+8885YvQS0skjHzLx588wuXbqYJSUl5tq1a8133nnHHDBggHn++efH6iWgFe3atcv85JNPzE8++cSUZD744IPmJ598Yn7//femaZrmjTfeaF588cX+9mvXrjXT0tLM6667zvzyyy/NRx55xLRYLObixYtj9RKCItiKUw8//LDZv39/s2PHjuaIESPMjz76yH9uzJgx5qWXXhrQ/uWXXzZ/8pOfmB07djRPOOEE880332zlHiPWIhkzRx55pCmpwZ958+a1fscRM5H+nKmLYKt9inTMLF++3Bw5cqSZkpJiHn300eZdd91lHjhwoJV7jViKZMzU1taat912mzlgwAAzNTXVzMzMNK+++mrzhx9+aP2Oo9UtXbo06GcT3xi59NJLzTFjxjS45qSTTjI7duxoHn300eYzzzzT6v1uimGazMsCAAAAQEtjzxYAAAAARAHBFgAAAABEAcEWAAAAAEQBwRYAAAAARAHBFgAAAABEAcEWAAAAAEQBwRYAAAAARAHBFgAAAABEAcEWAAAAAEQBwRYAoN3KyclRYWFhrLsBAGijOsS6AwAARINhGI2enzdvnhwOh5KTk1upR4Fmz56t77//Xg6HIybPDwCIPoItAECbVFlZ6f/7woULNXfuXH399df+Y507d1bnzp1j0TVJ0ooVK3TWWWfF7PkBANHHMkIAQJvUt29f/59u3brJMIyAY507d26wjDAnJ0e//e1vVVhYqB49eqhPnz568skntWfPHl1++eXq0qWLjjnmGL399tv+azwej+bPn6+jjjpKnTp10tChQ1VaWhqyXzU1NUpOTtby5ct18803yzAM/exnP4vmtwIAECMEWwAA1PHcc88pPT1dK1as0G9/+1v95je/0XnnnafRo0dr1apVmjBhgi6++GJVV1dLkubPn6//9//+nx577DF9/vnnmj17ti666CL961//Cnr/Dh066IMPPpAkrV69WpWVlVq8eHGrvT4AQOsh2AIAoI6hQ4fqlltu0bHHHqubbrpJqampSk9P14wZM3Tsscdq7ty52rZtmz799FPt379fd999t55++mlNnDhRRx99tC677DJddNFFevzxx4PePykpSRs3blSvXr00dOhQ9e3bV927d2/dFwkAaBXs2QIAoI4hQ4b4/26xWNSrVy8NHjzYf6xPnz6SpM2bN+vbb79VdXW1xo8fH3CPmpoa/fSnPw35HJ988omGDh3awj0HAMQbgi0AAOqon53QMIyAY74shx6PR7t375Ykvfnmm7LZbAHXpaSkhHyO1atXE2wBQDtAsAUAQDMdf/zxSklJ0YYNGzRmzJiwr1uzZo3OPffcKPYMABAPCLYAAGimLl266Nprr9Xs2bPl8Xh02mmnaceOHfrggw/UtWtXXXrppUGv83g8+vrrr7Vx40YdccQR6tatWyv3HADQGkiQAQDAYbjjjjt06623av78+Ro0aJDOPPNMvfnmmzrqqKNCXnPnnXfq2Weflc1m05133tmKvQUAtCbDNE0z1p0AAAAAgLaGmS0AAAAAiAKCLQAAAACIAoItAAAAAIgCgi0AAAAAiAKCLQAAAACIAoItAAAAAIgCgi0AAAAAiAKCLQAAAACIAoItAAAAAIgCgi0AAAAAiAKCLQAAAACIgv8PGtWW05NtHsYAAAAASUVORK5CYII=\n", "text/plain": "
" }, "metadata": {}, "output_type": "display_data" } ] } }, "677b8db567c9444e80ab39a1ebb2dfea": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "67ffcc263f6c40f88b20cfb6777362a2": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "FloatSliderModel", "state": { "behavior": "drag-tap", "description": "b", "layout": "IPY_MODEL_09124dc5d51e4501a286396e7317b4e9", "max": 0.5, "min": -0.5, "step": 0.01, "style": "IPY_MODEL_5438580d63f14db38502985c4023425c" } }, "686e5fcff7d6481090ceb2065eca6ca4": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_afd2744d2ebd4cb9824955201adbec4d", "outputs": [ { "data": { "image/png": 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\n", 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\u001b[0;32m~/opt/miniconda3/lib/python3.9/site-packages/ipywidgets/widgets/interaction.py:239\u001b[0m, in \u001b[0;36minteractive.update\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m 237\u001b[0m value \u001b[38;5;241m=\u001b[39m widget\u001b[38;5;241m.\u001b[39mget_interact_value()\n\u001b[1;32m 238\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mkwargs[widget\u001b[38;5;241m.\u001b[39m_kwarg] \u001b[38;5;241m=\u001b[39m value\n\u001b[0;32m--> 239\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 240\u001b[0m show_inline_matplotlib_plots()\n\u001b[1;32m 241\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mauto_display \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", "Cell \u001b[0;32mIn [36], line 11\u001b[0m, in \u001b[0;36mplot_with_interpolated_values\u001b[0;34m(ap, bp, cp)\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mplot_with_interpolated_values\u001b[39m(ap, bp, cp):\n\u001b[1;32m 10\u001b[0m \u001b[38;5;66;03m# Original function values for given `a` and `b` and `c` \u001b[39;00m\n\u001b[0;32m---> 11\u001b[0m original_values \u001b[38;5;241m=\u001b[39m \u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[43mtn\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43map\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbp\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcp\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43md\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43me\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;66;03m# Replace `f` with your actual function definition\u001b[39;00m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;66;03m# Interpolated values for the given `a` and `b` and `c` \u001b[39;00m\n\u001b[1;32m 14\u001b[0m interpolated_values \u001b[38;5;241m=\u001b[39m interpolate_f_over_a_b_c(tn, ap, bp, cp)\n", "\u001b[0;31mTypeError\u001b[0m: f() takes 4 positional arguments but 6 were given" ] } ] } }, "c10b7914723d45e1ac2069d1bf48c94b": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "c2c21060af24441dbe7b6b39d1ac2a6f": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, 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