From 374c4b70cd77f7571377976e5a42c84bd108a9a5 Mon Sep 17 00:00:00 2001 From: Feda Curic Date: Tue, 28 Nov 2023 08:40:48 +0100 Subject: [PATCH] Document adaptive localization --- .github/workflows/build_and_test.yml | 6 +- docs/conf.py | 1 + .../howto/adaptive_localization.ipynb | 297 ++++++++++++++++++ .../howto/ert_screenshot_adaptive_loc.png | Bin 0 -> 288003 bytes docs/index.rst | 1 + pyproject.toml | 3 + 6 files changed, 307 insertions(+), 1 deletion(-) create mode 100644 docs/getting_started/howto/adaptive_localization.ipynb create mode 100644 docs/getting_started/howto/ert_screenshot_adaptive_loc.png diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml index cdb6b713c0c..4d8010849ef 100644 --- a/.github/workflows/build_and_test.yml +++ b/.github/workflows/build_and_test.yml @@ -166,7 +166,11 @@ jobs: - name: Install PlantUML run: | - sudo apt-get install plantuml + sudo apt install plantuml + + - name: Install pandoc + run: | + sudo apt install pandoc - uses: actions/setup-python@v4 id: setup_python diff --git a/docs/conf.py b/docs/conf.py index c57c7276cdf..dfbde767cb6 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -57,6 +57,7 @@ "sphinxcontrib.datatemplates", "sphinxcontrib.plantuml", "ert_jobs", + "nbsphinx", ] # Autodoc settings: diff --git a/docs/getting_started/howto/adaptive_localization.ipynb b/docs/getting_started/howto/adaptive_localization.ipynb new file mode 100644 index 00000000000..6b65675d180 --- /dev/null +++ b/docs/getting_started/howto/adaptive_localization.ipynb @@ -0,0 +1,297 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "28648753-5876-4462-a619-a51c323e8351", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "# Import libraries\n", + "import numpy as np\n", + "\n", + "rng = np.random.default_rng(1)\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "id": "feae478a-b10c-41ba-b9cb-16f4c8d9c26e", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "# Adaptive Localization\n", + "\n", + "Parameter estimation using few samples (realizations) leads to sampling errors and spurious correlations (see section below), which can lead to inaccurately strong updates during the estimation process.\n", + "A strong update, characterized by a posterior with low variance, can be misleading - essentially leading to confident but potentially incorrect conclusions.\n", + "Localization is a widely used method to mitigate this.\n", + "\n", + "Localization uses only observations deemed close when updating a subset of adjacent parameters.\n", + "The process involves two key decisions: determining what constitutes adjacent parameters and defining a measure of closeness.\n", + "This document considers only two such measures of closeness.\n", + "Namely, the Euclidean distance and Pearson's correlation coefficient.\n", + "\n", + "- **Localization - Step-by-Step:**\n", + " - **Select Adjacent Parameters:** Identify a subset of adjacent parameters. Subset may consist of a single parameter.\n", + " - **Identify Close Observations:** Choose observations that are near this subset.\n", + " Closeness can be defined in various ways.\n", + " - **Update:** Use only close observations in the update step.\n" + ] + }, + { + "cell_type": "markdown", + "id": "76702330-e41a-4ae7-b164-445b37f26ee9", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "## Distance-Based Localization - Euclidean Distance as a measure of closeness\n", + "\n", + "In distance-based localization, closeness is measured by Euclidean distance which is analogous to measuring straight-line distances in physical space.\n", + "The simplest way to set-up distance based localization is to define a radius of influence around every parameter.\n", + "Only observations within this radius of influence are used in updates.\n", + "The figure below illustrates this approach.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "050aa0f1-9d19-4897-be4d-d24dab734b91", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create schematic representation of Distance-Based Localization\n", + "observations = np.array(\n", + " [\n", + " [1, 5],\n", + " [2, 3],\n", + " [3, 4],\n", + " [5, 2],\n", + " [6, 6],\n", + " [7, 7],\n", + " [8, 1],\n", + " [9, 3],\n", + " [11, 5],\n", + " [12, 6],\n", + " [14, 1],\n", + " [15, 5],\n", + " ]\n", + ")\n", + "\n", + "# Define the center of the local update area\n", + "local_update_center = (8, 4)\n", + "\n", + "# Define the radius for the local update circle\n", + "radius = 3\n", + "\n", + "fig, ax = plt.subplots(figsize=(12, 12))\n", + "\n", + "ax.scatter(observations[:, 0], observations[:, 1], label=\"Observation\")\n", + "\n", + "# Plot the local update area\n", + "circle = plt.Circle(\n", + " local_update_center,\n", + " radius,\n", + " color=\"k\",\n", + " fill=False,\n", + " linestyle=\"--\",\n", + " label=\"Local update\",\n", + ")\n", + "ax.add_artist(circle)\n", + "\n", + "# Highlight the point 'x' with a square marker inside the circle\n", + "ax.plot(local_update_center[0], local_update_center[1], \"ks\", markersize=10, label=\"x\")\n", + "\n", + "ax.grid(True, linestyle=\"--\", which=\"both\", color=\"grey\", alpha=0.6)\n", + "\n", + "ax.set_aspect(\"equal\")\n", + "\n", + "ax.set_xticklabels([])\n", + "ax.set_yticklabels([])\n", + "\n", + "_ = ax.legend()" + ] + }, + { + "cell_type": "markdown", + "id": "92628531-5aea-4d76-b7ac-774de12ba9c1", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "How big should the circle be? Should all observations within the circle influence the update by the same amount, or should near-by observations have a bigger impact than those further away? It is labour intensive to give good answers to these questions which is a disadvantage of distance-based localization.\n", + "An alternative that requires much less user-input is `adaptive localization` where the measure of closeness is not that of Euclidean distance, but instead Person's correlation coefficient." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "d7bfdd17-9429-450d-b9ec-0b4cd478f42d", + "metadata": {}, + "source": [ + "## Adaptive-Localization - Pearson Correlation as measure of closeness\n", + "\n", + "As mentioned, the difference between distance-based localization and adaptive-localization is the measure of closeness.\n", + "Otherwise, the approach is similar to distance-based localization.\n", + "\n", + "- **Adaptive Localization step-by-step:**\n", + " - Pick a subset of adjacent parameters\n", + " - Pick responses that are significantly correlated to the parameters\n", + " - Do the update using only observations that correspond to these responses\n", + "\n", + "The primary advantage of adaptive localization is its user-friendliness.\n", + "Users only need to specify the `correlation threshold`.\n", + "Often, the default `correlation threshold` calculated by `ERT` is reasonable.\n", + "\n", + "To activate adaptive localization in `ERT`, simply check the `Adaptive localization correlation threshold` checkbox.\n", + "The correlation threshold can then be set, though a sensible default will be determined based on ensemble size.\n", + "At a correlation threshold of 0.0 the update will be identical to no localization, while at a correlation threshold of 1.0 the posterior will be identical to the prior, and there will be no update.\n", + "\n", + "![](ert_screenshot_adaptive_loc.png)" + ] + }, + { + "cell_type": "markdown", + "id": "60dc9385-1f28-415d-a5b3-15cedce07f65", + "metadata": {}, + "source": [ + "## Computational Considerations\n", + "\n", + "Be aware that adaptive localization comes with significant computational costs, which depend on two factors:\n", + "\n", + " - The number of parameters: More parameters lead to longer run times.\n", + " - The correlation threshold: A higher threshold reduces computational time.\n" + ] + }, + { + "cell_type": "markdown", + "id": "d6f3bb27-cbad-41ff-a93f-d8673c5ad5ed", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "## Spurious Correlations\n", + "\n", + "Spurious correlations refer to relationships that emerge between two variables that are not causally related, yet appear to be connected due to coincidence, a third variable, or a fluke in the data.\n", + "The term `spurious` suggests that the correlation is misleading or deceptive.\n", + "Often, these correlations are the result of random chance, especially in small data samples.\n", + "This is illustrated in the two figures below.\n", + "On the left-hand side, 10 samples are drawn from a multivariate normal distributions with 5 independent parameters.\n", + "If there were no spurious correlations, all correlations would be 0 because the parameters are independent.\n", + "As we draw more samples, the correlations tend towards zero as shown in the right-hand side figure.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "200ff9ee-22df-4c37-a49d-44c5f4fa67fe", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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x3BMpScG4fvUEatWq/tk806eNRXDgQ6Qmh+DBvYto0dy60LSXLhxBbnYk+vXrLt43ZvRQ5GZHSt1MTY1lUa2vNmHSCHj4OOFFtA+uOf2NJk0bfjJ9vwE98MDtKl5E++D2gwvo0rVDgTSLl82Bb8BdREQ9xunzB1GjRjXxd23atURsUoDUzfrtuRctmSX1+/BXXrKtPH0WO91SZGRk4rtaNbB8wQxFF0Xhek0bgK7je+HP5XuwesBSZGdkwvbPFdDQ1iw0z3c29eF05BrWDFyKjaN/gbqGOhb8uRJautoAgArmRqhgXhEn1/4Ju27zcWDhDjTs2ATjf1eu9m4zrQ9ajuuOK8sOwrH/SuSkZ2HEkSVQ/0Tb1OvTCl3tRuLO1n+wr48dov0iMOLIEugZG4jT9N88HcY1LHFy0ibs6bYE/tfcMWjnHFjUf/9DG+7yDGdmbseu7xfh9LStMKpmhsEOc+VaX1nTbNkJOsOnIfP8n0hdNQ3CFyEot/B3CPQrfDKfwMQcOj9ORW6Aj9Tvc3xckTxnsHhL3/2bHEpf8kz7t0HNn8fi+aZT8Oy2GGlPn6PBX8uhaWIgNb2arjYyI2IQtuYYsqITCj1umn8EXBpOFm/e/VfIqwqyJRLKbqMyR5Xj+HzbqZg2fRzmzrFDp44DkZaegXMXDkNbW6vQPIMG9Yb9uuWwX7sV7dr0ge8TP5w7f1iiM6Orq4ObN29j44ZdUo/x8KEnalRvIbEdPHgCYWER8PSQ/ntdGiiqvQCgf/8e2Ld/M44eOYXWNr3Q9YfBOHXygkzrJ2uLFs7ArJkTMGPWErRp1xdp6em4cukYtLW1C80zZEg/bNywCqvXbEYLmx547PMMVy4fk9pZnjtnMkQiUYH9f5+6gMpVrCW269dv4fbtB4iNfSPTOn6JAf/riV/XLsXG33fihw4D8dTXH3+fPQATk4pS07do2QR7DmzCsSOn8X37Abh62QmHj+9EnbrfitPMnjcZk6eOxsL5P6PHD0ORnpaBk2cPiK9Nt0deqP9tW4ntyOG/ER7+At6eTwAAu7Y7Fkjj7xeEi+euyb9RPkfF4jg73VK0b90Cc6aMRZeObRVdFIXrOqEPLm4/Da+bbnjp/xz7bLfDyNwITbu1LDTP5rFrcP/0LbwKeoEXfs9xYOEOmHxjCquGNQEAkYEvsHP6Bjx2ckdsRDT8XHxxZuNxWP/QHGrqynNJtpzYA3d3nEPgTQ/E+L/Aedvd0DergDrdmhWap9WknvA6cQuPT91BXFAkLi9zRE5GFqyHdhSnqdLsW7gduoFXj0OR+CIW97afQ2ZyGiwavr+T/OjANUR6BSMpMg4vPYLwYNdFfNOkFtQ01OVaZ1nS6jEY2bevIOfudQhfPUfGoS0QZWdBq0OPwjMJ1KA3bRkyzx6GMOa19DQ5ORAlJYg3pKfKpwIlrPLUPnh9zAnRJ5yRHvgSQT/thTAjGxY/fi81fap3CMJ+PYLY8w8gys4p9LiiXCFyYhPFW258iryqIFtCoew2KnNUOY7PnDUB63/fgcuXbuKprz+mTFoAS0tz9O3brdA8s+ZMwqGDJ3H0yGn4+wdjzuzlyMjIwOgxQ8Rpdu08iM2bHODmKn2ELCcnBzHRceIt/k0i+vTugqNHTsu8jrKkqPZSV1fH+o0rYbfcHgf2H0dwcBj8/YPxzz+XZV5HWZozexLW2m/FxYs38OSJH8aNn4tKlczRv3/3QvPMnzsZ+w8cx+E//4afXxBmzFyC9PQMjB/3o0S6xo3rY/68qZg0ZUGBY2RmZiI6Ola85eXloXPntnA8dELmdfwS02aOx9HDf+OvY/8gMCAEC+etQkZ6JkaMHiQ1/ZTpY/Dfv3exc9sBBAWGYt1vW+Hz+BkmThklTjN1+hhs3rgb16444dnTAMyc9hMsLMzQs08XAG//5mLixFt8fCJ69PoBfx39R3yMtLR0iTSmZsaoU/dbHCsNf5cqFseVp4dDJc60ijkqmBnh6f33d6gzUtIR4h2EWk2LNg0YgHjaeFpi4f+Y19PXQ2ZqOoR5yvGHU6GKKfTNjBB276l4X1ZKBiK9Q1C56bdS86hpqsOyYXWE3fN9v1MkQtg9X3zzQZ4XHkGo17cVdAzLAQIB6vdtBQ1tTTx38ZN6XB3DcmgwoC1eeARBmKskz8eoa0DdqjZyn3q+3ycSIfepJ9Rr1Ss0m/aA0RAlJyLnztVC02jUaQz97adRft0h6IydC0E56SPBykSgqQH9RjWQeOeD0SKRCIl3faDfvPZXHVu3hgVsvPegxaMdqLNzDrQrm3xlaYlIUaysqsDCwgy3bt0T70tOToG7mzda2jSVmkdTUxNNmjSQyCMSiXDrv/uF5imK3r27oKKxEY4cOfXFx5A3RbaXdZMGqFzZEkKhEPddLiE49BH+OXcQ9ep93W+6PFWvXhWWluZw+k+yvVxdvdDKRvqAg6amJpo2bQSn/+6K94lEIjj9dw+tWr3Po6urgyN/7sDsucsQHR372bKMHjUE6ekZOHNG8TcpNDU10di6Pm47v3+MRSQS4Y7zAzRv0URqnuYtrHHH2UVi3y2ne2jewhoAUM3qG5hbmOHOB8dMSU6Fp/tjtCjkmD16fY+KFSvgr2NnCi3rqDFDEBwUhocuHkWtHslIsRdSi4uLg6OjI1xcXBAVFQUAsLCwQJs2bTBu3DiYmprKvJCkGIamFQAAybGJEvuTY5PE332OQCDA8JXjEejmh8jAF1LTlDfSR9/ZQ+D8179fUdqS9e756bS4JIn9aXFJKF9I2+gZ6UNNQx2pBfIkw6Tm+2fez8zchkE7ZmORz17k5eQiJyMbp6ZsQcLzaIl8Pyz5Ec3HdoWWng5eegbhxPiNX1+xEiLQN4RAXT1/JPoDoqQEqFlWkZpH/dsG0OrQE6krphR63NwnbsjxuAthbBTUzCpBZ/BEqC+0R9qvs5Vm+pE0mhX1IdBQR3as5LWTHZsEw1qVv/i4yZ5BCJi7ExnBr6BlboSqC4ag8flf4dHRFnlpmV9bbPlS4v+eisY4XnaZm+f/t4uJiZPYHxMTJ/7uY8YmRtDQ0EBMdME8tb+r+cVlGTNuKP799w5eRUZ98THkTZHtVd0qP9YtWz4PSxevwfOIl5gzZxKuXvsL1o2/R0JC0meOUPIszM0AoECnODomDhYWZlLzmJhULKS9YlHng/batPEXuLi44+LFG0Uqy/jxP+KvE+eQman4WFXROP+aiI2RnOYeE/sGtWrXkJrHzNykwHUXG/sGZub5N77NzPKvv4+P+WGaj40cPRi3nO7h9atoqd9ra2th0NC+2PbHvs9XqiSoWBwv1ki3m5sbateujW3btsHQ0BAdOnRAhw4dYGhoiG3btqFOnTpwd3f/7HGysrKQnJwssWVlZX1xJUg2WvVvj91Pj4o3dc2vn6o8avVkfPNdVTjM3iz1e53yuph3cBleBb/A+S0nv/p88tJgQBssfnZAvMlzGnenBYOhY6CHIyPW4kDfFXi0/yoG7ZwNs+8kO6MP9lzCvl7LcXSkPYR5QvT/Y5rcyqRwOrrQm7oEGQc3Q5SaXGiynEe3kOvlAuHLMOR63kfaH8uhUaMO1Os2LjSPKkv4zxtxFx8izS8CCc6P4TtyLTQMysG0XxtFF+3zVGxamqwwjpctQ4f1R1SMr3jT1Cx8TZGSVKmyBbp06YA/D/2t6KJIKE3tJVDL/yf4hvU7cf78NXh7+WLa1J8gEokw8H8FF75UhOHDByIxPlC8aWrK56VHffp0RedObWG7YFWR0reyaYZ6dWvj4MG/5FIeZWRZyRydf2j3yWnjvfp0Rfny5XDy+NkSLNknqFgcL9Zfz+zZszFkyBA4ODhAIBBIfCcSiTBt2jTMnj0bLi4uhRwhn729PX755ReJfXaL5mDlT8q1EFRZ4/2vG0K9g8SfNbTyg5GBaQUkfTDabWBqiBfPwj97vFG/TIL1981gP3QFEqLiC3yvU04HCw7bITM1E9unrkdeKZ4aHXjTE5FeIeLPGlr5fzrlTAyRGpMo3l/OxBBRz55LPUZ6QgqEuXkob2Iosb+ciQFS345gGlU1Q8tx3eHQ5SfEBkUCAKL9IlCl5XdoPqYrrix3FOfLSEhFRkIq4sOiEBf8CvMebUflprUQ6RkskzrLkyglCaK8PAgMjST2CwyNIEoqeK2omVWCmqkl9Oat+SBx/m+QgeMNpC4ZK/UZb1HsawiTE6FuVhl5z5R3pc6c+BSIcvOgZSp57WiZGiL7g+vva+UlpyMj9BV0qlvI7JhUujCOly1XLv8Ldzdv8ed3CyyZmZkgOur9aKSZmQl8fJ5JPcabuATk5uYWGD0zMzMp0jRfaUaPHoL4Nwm4fLl0zWArTe0VHRUDAPD3e//vruzsbISFv0CVKl8+g0mWLl68AdcPnkl/117m5qaIelt+ADA3M4H346cF8gNAXFx8Ie1liqi37dW5UzvUrFkNb2IlH6M7dXIf7t17hB+6DpHYP2HCcHh5+8LT68mXV06G4t/kXxOmZpILw5mZGhcY4X8nJjoOZmaSbWL6QfqYmPy2MTUzlriuTE2N4fvEv8Dxho8chPj4RFy78l+h5Rw1dghuXHMuFQvPqaJijXQ/fvwY8+fPLxCogfxpxPPnz4e3t/dnj7N06VIkJSVJbIvnluFROiWRmZaJmOdR4u1V0AskxiSgXpv3rzzQKa+LmtbfItgz4JPHGvXLJDTt3hLrR/yMuJcxBb7XKa+LBUdWIjcnF9sm2SM3q/CFnkqD7LRMJDyPFm+xQZFIiUlA9bb1xWm0yuuisnVNRHoGST2GMCcPr5+EweqDPBAIUL1tA7x8m0fz7QrvH6/cKcoTQqBW8O9OfJi33727UVLq5eUiLzwQGvU+eC5JIIBGvSbICy74Dx3h6wikLJuI1BVTxFuulwvy/LyRumIKhG+k/0NHYGQCQXkDCJOUO8CIcnKR4hOKCu0/eP2IQIAK7RoixT1QZudR09OBTjULZH9itfNSQ8XukMsK43jZkpqahtDQ5+LNzy8IUVEx6NTp/QJy+vrl0byFNVwfeUo9Rk5ODry8fCXyCAQCdOrcptA8nzNq9GAcP34Wubm5X5RfXkpTe3l5+SIzMwvffjD9WENDA9WqfoOIiMgvqJ3spaamISQkXLw9exaI16+j8X3nduI0+vrl0bJlEzx8JP0Z4ZycHHh6+kjkEQgE+L5zOzx8mJ9n/YYdaNKsC5q16CbeAGDBwp8xcbKtxPHKldPDkMF9S9Uod05ODh57P0WHjq3F+wQCAdp3bA13N+k3/N3dvNG+YyuJfR07txHfFHoe/hLRUTFo/8Exy+uXQ9PmjeEm5ZjDR/0Pf584V+jfXNVq36Bde5vSsYDaOyoWx4s10m1hYQFXV1fUqVNH6veurq4wN//8e4q1tbULvFogJ1v6nSBFSE/PQMTLV+LPka+i4R8YAkMDfVgW8sxKWXXT8RL6zh6M6PDXiHsRg4ELhiMhOgGeN1zFaRYdWwXP665w+jN/cavRqyejVf/22DZ5HTLSMmDw9hnnjOR05GRlQ6e8LhYeWQktHW3snbcVOvp60Hm72FrKm2SIlOSPx/XANbSbPQDxYVFIfBGLTgsGIyUmEf433geeUceXwv+6O9wP3wQAPNx/Ff03TcVrnzC8ehyClhN6QFNPG49P3QYAxIW8wpuwKPRaOxH//nYMGQmp+K57c9Ro3wAnJuQ/s13JuiYqNa6BF26ByExKg1E1M3RaMATx4VHizrsyyL52GrqTFyMvLBB5of7Q6j4IAm0dZN+9DgDQnbIYwoQ4ZJ06AOTkQBgZLpFf9HZVcvF+bR3oDBiDHPe7ECbFQ82sEnSHTYEw5hVyn3x+umxpF7nnEr7bOhOpj0OQ7BWMbyb3hpqeNqJO3AIAfLd9FrJexyN87XEA+Yuv6dX+Rvz/tSyNUa6+FfLSMpEZnv+MZfVVoxF/wwOZL2OhbW6EaouGQSQUIvbcfcVUshhEotI7M6Y0Yxwv+3F85w5H/LR4FkJCwvE8/AXsVtri9etoiWdlL10+iosXb2CPw58AgB3b9mPPvk3w9PSBh/tjzJw1AXp6ehIrj5uZm8Dc3BQ13r7Dun79OkhJTcXLF68knj/u1KkNqlevisOlZFXpz1FUe6WkpOLA/mNYbjcPL1++xouISMydn79mydlSvIL5tu37sWzpHAQFhyI8/AV++XkRXr2Kxvnz18Vpblw7iXPnr2LX7kMAgD+27sPBA3/Aw9MHbm5emDN7MsqV08Whw/mPFb5bkfxjES8iER4uuR7Q0CH9oKGhjmPH/ymQXpEcdh7E9t2/w9vLF54ePpg6Yyz0yumKVxLf4fA7ol5HY80v+Y9b7t39J85fOYLps8bj5vXbGDioF6ybNMCCuSvFx9yz+0/YLpqO0JDniHj+EkuWz0VUVAyuXpKcQdK+YytYWVXB0cOFd6hHjBqE6KhYON28I4fafxlVi+PF6nQvXLgQU6ZMgYeHB3744QdxYI6OjoaTkxP27duHjRuVZzGnwvj6B2HC7MXiz+u37wUA9O/ZBb/ZFXyNQVl2xeEctHR1MM5+GvQMyiHQzR+bx66WGJk2q2aB8hX1xZ+/H53/yqclJ1dLHGv/wh24f/oWqjWogZpN8lfnXH9H8v2VC9tNw5uXXzadraQ9cLgETT1t9LafCB0DPUS4B+L4mN+R90HbGFU1h57R+7Z5dukh9Iz10dF2MMqbGiL62XMcH/M70uLyn1MW5ubhxLj1+H7Jjxh2YCG0ymkjITwa5233IPjWYwBAbkY26vRogY7zB0FLVxspsYkIcfbBve3nkJddukYVPiXH1RkCA0Po/G8cBIZGyIsIQdrGJRAl54+yqlU0A4QF39VZKKEQalVqQK9dNwj0ykOU8Aa5T92ReeYQkFu6Z1IURez5B9A0NkC1n4ZBy7QCUp+Gw3f4b8h5uzCfdmUTiD5oLy0LIzRz2iD+XGVGP1SZ0Q+JD57C538/5+exNEad3XOhaaSPnDfJSHL1h3evZch5U/hz86TcGMfLfhz/Y/MelCunh+071sLQ0AAuD9wwsP84ZGVli9NUr1ENxsbvH+85c+YyTEyNYbfCFubmJvDx8cPAAeMkFnqaNGkkli2fJ/5849/857WnTlmIY0ffr5Y8ZuxQuLi4IzAwVI61lB1FttfyZfbIzc3D/v2boaOrDXe3x+jdawQSE0vvb/CGjbtQrpweHHatR4UKBrh/3w29+46SWNOhRo1qEu+nPnXqAkxNKuLnlQthYWGKx4+fonefUQUWEiuKCeOH4+y5q0hKKl1tdO6fqzA2rojFy+bAzNwUvk/8MOx/k8RTub/5xlJiUMnN1QvTJi3EUrt5WL7SFqEh4Rg7YqbE4wbbt+yDnp4uNm/9FQaGBnj00APD/jdJ4toE8hdQc33oieAg6X9zAoEAP44YiBPH/4FQSQa2yiKBSNob6D/h5MmT+OOPP+Dh4YG8vPw7FOrq6mjWrBlsbW0xdOjQLypITpxy/DiXFlOaL1J0EZRKDZGOoougVOZ0Kr2rzZZGj69X/HwiEusQ9fWvEMpwdvx8oiLS7TSh2Hl27tyJDRs2ICoqCo0bN8b27dvRsmXLQtNv2bIFu3fvRkREBExMTDB48GDY29tDR6fkf5sYx0sHo6o/KLoIVIZl5mZ/PhGJGemWV3QRlEps0qcfMy0KRcfxklbsZQiHDRuGYcOGIScnB3Fx+XeoTExMSs2KmUREpAIU+KqRkydPwtbWFg4ODrCxscGWLVvQvXt3BAQEwMys4NTl48ePY8mSJXB0dESbNm0QGBiIcePGQSAQYPNm6W92kCfGcSIiUji+MqxoNDU1YWlpCUtLSwZqIiJSGZs3b8bkyZMxfvx41KtXDw4ODtDT04Ojo/S79g8ePEDbtm0xYsQIWFlZoVu3bhg+fDhcXV2lpi8pjONEREQl44s73URERAojw1VPi/PO6ezsbHh4eKBLly7ifWpqaujSpUuhr9lq06YNPDw8xJ3s0NBQXLlyBb16lY538RIREZU4FVu9nJ1uIiJSPiKhzDZ7e3sYGhpKbPb29lJPGxcXh7y8vAIrfJubmyMqSvpaCCNGjMCvv/6Kdu3aQVNTEzVr1kSnTp2wbNkymTcLERGRUpBhHFcG7HQTEZFKk/bO6aVLl8rs+M7Ozli7di127doFT09P/PPPP7h8+TJWr179+cxERESk9Iq9kBoREZHCyXA6mbR3ThfGxMQE6urqiI6OltgfHR0NCwsLqXlWrFiB0aNHY9KkSQCAhg0bIi0tDVOmTMHy5cuhpsb730REpGKUZFq4rDDSExGR8lHQtDQtLS00a9YMTk5O4n1CoRBOTk5o3bq11Dzp6ekFOtbq6ur51SjeWzuJiIjKBhWbXs6RbiIiomKwtbXF2LFj0bx5c7Rs2RJbtmxBWloaxo8fDwAYM2YMKleuLH4uvG/fvti8eTOaNGkCGxsbBAcHY8WKFejbt6+4801ERERlFzvdRESkfBQ4LW3YsGGIjY3FypUrERUVBWtra1y7dk28uFpERITEyLadnR0EAgHs7OwQGRkJU1NT9O3bF7/99puiqkBERKRYKja9nJ1uIiJSPgoO1rNmzcKsWbOkfufs7CzxWUNDA6tWrcKqVatKoGRERERKQMU63Xymm4iIiIiIiEhOONJNRETKR0kWTiEiIiIpVCyOs9NNRETKR8WmpREREZUpKhbHOb2ciIiIiIiISE440k1ERMpHxaalERERlSkqFsfZ6SYiIuWjYtPSiIiIyhQVi+OcXk5EREREREQkJxzpJiIi5aNi09KIiIjKFBWL4+x0ExGR8lGxaWlERERliorFcU4vJyIiIiIiIpITjnQTEZHyUbE75ERERGWKisVxdrqJiEj5iESKLgERERF9KRWL45xeTkRERERERCQnHOkmIiLlo2LT0oiIiMoUFYvj7HQTEZHyUbFgTUREVKaoWBzn9HIiIiIiIiJSGTt37oSVlRV0dHRgY2MDV1fXT6bfsmULvvvuO+jq6qJKlSqYP38+MjMzi3w+jnQTEZHyEanWHXIiIqIyRYFx/OTJk7C1tYWDgwNsbGywZcsWdO/eHQEBATAzMyuQ/vjx41iyZAkcHR3Rpk0bBAYGYty4cRAIBNi8eXORzsmRbiIiUj5Coew2IiIiKlkKjOObN2/G5MmTMX78eNSrVw8ODg7Q09ODo6Oj1PQPHjxA27ZtMWLECFhZWaFbt24YPnz4Z0fHP8RONxERERERESmlrKwsJCcnS2xZWVlS02ZnZ8PDwwNdunQR71NTU0OXLl3g4uIiNU+bNm3g4eEh7mSHhobiypUr6NWrV5HLyE43EREpH5FIdhsRERGVLBnGcXt7exgaGkps9vb2Uk8bFxeHvLw8mJubS+w3NzdHVFSU1DwjRozAr7/+inbt2kFTUxM1a9ZEp06dsGzZsiJXl51uIiJSPpxeTkREpLxkGMeXLl2KpKQkiW3p0qUyK6qzszPWrl2LXbt2wdPTE//88w8uX76M1atXF/kYXEiNiIiIiIiIlJK2tja0tbWLlNbExATq6uqIjo6W2B8dHQ0LCwupeVasWIHRo0dj0qRJAICGDRsiLS0NU6ZMwfLly6Gm9vlxbI50ExGR8uFINxERkfJSUBzX0tJCs2bN4OTk9EFRhHByckLr1q2l5klPTy/QsVZXVwcAiIr4mFqpGeme0nyRoougVPa6b1B0EZTK6UYrFF0EpWL8l7+ii6BUjph0UnQRVA9fGVbqGFX9QdFFUCoJEU6fT0RiFap+r+giKJXK+saKLoJSUYNA0UVQPQqM47a2thg7diyaN2+Oli1bYsuWLUhLS8P48eMBAGPGjEHlypXFz4X37dsXmzdvRpMmTWBjY4Pg4GCsWLECffv2FXe+P6fUdLqJiIiIiIiI5GnYsGGIjY3FypUrERUVBWtra1y7dk28uFpERITEyLadnR0EAgHs7OwQGRkJU1NT9O3bF7/99luRz8lONxERKR2RkKuOExERKStFx/FZs2Zh1qxZUr9zdnaW+KyhoYFVq1Zh1apVX3w+drqJiEj58FlsIiIi5aVicZwLqRERERERERHJCUe6iYhI+XAhNSIiIuWlYnGcnW4iIlI+fKabiIhIealYHOf0ciIiIiIiIiI54Ug3EREpHxVbgIWIiKhMUbE4zk43EREpHxUL1kRERGWKisVxTi8nIiIiIiIikhOOdBMRkfIRqdYCLERERGWKisVxdrqJiEj5qNi0NCIiojJFxeI4p5cTEREV086dO2FlZQUdHR3Y2NjA1dX1k+kTExMxc+ZMWFpaQltbG7Vr18aVK1dKqLRERESkSBzpJiIi5aPA93uePHkStra2cHBwgI2NDbZs2YLu3bsjICAAZmZmBdJnZ2eja9euMDMzw+nTp1G5cmU8f/4cFSpUKPnCExERlQYq9p5udrqJiEj5iBQ3LW3z5s2YPHkyxo8fDwBwcHDA5cuX4ejoiCVLlhRI7+joiPj4eDx48ACampoAACsrq5IsMhERUemiwDiuCJxeTkREKi0rKwvJyckSW1ZWltS02dnZ8PDwQJcuXcT71NTU0KVLF7i4uEjNc+HCBbRu3RozZ86Eubk5GjRogLVr1yIvL08u9SEiIqLShZ1uIiJSPkKRzDZ7e3sYGhpKbPb29lJPGxcXh7y8PJibm0vsNzc3R1RUlNQ8oaGhOH36NPLy8nDlyhWsWLECmzZtwpo1a2TeLEREREpBhnFcGXB6ORERKR2RDFc9Xbp0KWxtbSX2aWtry+z4QqEQZmZm2Lt3L9TV1dGsWTNERkZiw4YNWLVqlczOQ0REpCxkGceVATvdRESk0rS1tYvcyTYxMYG6ujqio6Ml9kdHR8PCwkJqHktLS2hqakJdXV28r27duoiKikJ2dja0tLS+vPBERERU6nF6ORERKR8FTUvT0tJCs2bN4OTk9L4oQiGcnJzQunVrqXnatm2L4OBgCD+4qx8YGAhLS0t2uImISDWp2PRydrqJiEj5iISy24rJ1tYW+/btw+HDh+Hn54fp06cjLS1NvJr5mDFjsHTpUnH66dOnIz4+HnPnzkVgYCAuX76MtWvXYubMmTJrDiIiIqWiwDiuCJxeTkREVAzDhg1DbGwsVq5ciaioKFhbW+PatWvixdUiIiKgpvb+nnaVKlVw/fp1zJ8/H40aNULlypUxd+5cLF68WFFVICIiohLETjcRESkfBU8nmzVrFmbNmiX1O2dn5wL7WrdujYcPH8q5VEREREpCSaaFywo73UREpHxUbNVTIiKiMkXF4jif6SYiIiIiIiKSE450ExGR8lGxaWlERERliorFcXa6iYhI+SjJaqVEREQkhYrFcU4vJyIiIiIiIpITjnQTEZHyUbFpaURERGWKisVxdrqJiEjpiFRs1VMiIqKyRNXiOKeXExEREREREcmJSna6B8z/EX+47sce/+NYeHQVzK0sP5m+94yBWHn+d+zyPYqt7o6YvXcxLGpUEn9fzrA8Rv48EWudtmGP/3FsvO+AEasmQFdfT95VKRXcvZ9g5k+r0LnfSDRo2xNOdx4oukgl4ttxXdH30RYMDT2Irpd+QUXrGp9MX6VPS/S+swFDQw+ip9M6WH7fWOJ7mz+mYvirYxJbp2M/SaRpf8gW/dy2YmjoQQzw2oFW26ZD17yCrKtWon5etRAvnnsiJSkY16+eQK1a1T+bp1IlCxw+tA3Rr32RkhQML89/0axpIwCAhoYG7Ncug5fnv0hKCEJEuAcOOm6FpaW5vKsiU7K+vj7UfN0EDH91DN9N6iHeZ9a6boHr791WsfGnz60QQpHsNir17FbMR3DoI8S+8cPFS0dQs6bVZ/NMmToaT/3uIi7eH7dun0Wz5pJ/E+MnDMfVa3/hVZQPUtPDYGioL/F9+/Y2SE0Pk7o1bdZIltVTOFWN44WxWzEfIaGuiHvjj0uXjhb5envmdw9v4gPgfPucxPVmZGSIjZt+hpe3E+Le+MM/4D42bFwFAwP9Txyx9BkzcRjueV1FQKQbzt04hsZNG3wyfa9+XeH08DwCIt1w/e4ZdO7STuL7eT9Nh9PD8/CLeASfkHs49s9eWDdrKJGmes1q2Hd0K7wCb8M3/AFOXz6E1u1ayLxu8jJ64jDc9boC/0hXnL1xtEht9u/Dc/CPdMXVu6fR6aM2+9CajXYIe/MY46eOlNi/7+hW3Ht8Df6Rrnj09F9s3v0bzCxMZVIfmVKxOK5yne5e0wag6/he+HP5HqwesBTZGZmw/XMFNLQ1C83znU19OB25hjUDl2Lj6F+grqGOBX+uhJauNgCggrkRKphXxMm1f8Ku23wcWLgDDTs2wfjfZ5RUtRQqIyMT39WqgeULVKO+AFC1Xys0WTUSvpv/wbXudkh8FoHOx5dA29hAanqT5t+iza5ZCPnLGde6LcfLa+5o72gLw+++kUj36r/HONt4hni7P2OHxPcx95/h/tTtuNR+Ee5N3oryVmZou2+u3Oopb4sWzsCsmRMwY9YStGnXF2np6bhy6Ri0tbULzVOhgiHuOJ9DTk4u+vQdhYaNO+Onn35FQmISAEBPTxdNrBvit7Vb0cKmB4YMnYzvatfA2X8OllS1vpq8ri8A+KZHc5g0q4X01/ES++PcAyWuvbONZyD42C2kPo9B/ONQudTzq6hYsFZl822nYtr0cZg7xw6dOg5EWnoGzl04DG1trULzDBrUG/brlsN+7Va0a9MHvk/8cO78YZiaGovT6Orq4ObN29i4YZfUYzx86Ika1VtIbAcPnkBYWAQ8PXxkXk9FUsU4Xhhb22mYPn085sxZjk4dByAtPQPnL/z5ybg0aFAfrFtnB/u1W9G2TW88efIM58//Kb7eLC3NYWlpjmXL1qJF826YOmUhunbtiF27fy+pan21PgO6w271Imzd4IA+3w+Dn28AjpxygLFJRanpm7VojO37fsffR8+id+ehuHHlP+w9shW169QSpwkLeY6Vi9eiW/v/YVCvsXgZ8QpHTjugorGROI3j8e3QUFfH8AGT0Of7H+H3NBCOx3fA1MxY2mlLld4DumP56oXYumFPftl9A3D41O5C26xpi8bYum/d2zYbhptXbmHPkS0SbfZOt97fo0nzhoh6HVPgO5d7bpg1cRF+sOmP6eMWoKrVN9h1cKPM6/fVVCyOC0QiUako6XirQSVynj9c9+P6vgu4tu8CAEBXXw9b3Q9g/8IdcL14v0jH0K9ogG2eB2E/dAUCXZ9JTdO8V2tM+WMuptUbAWGe7J9Z2Ou+QebHlIUGbXtiq/0K/NChjaKLIuF0oxUyPV7XS78g/nEoPJYfzt8hEKC/+zYEHrwBvx0XC6Rv4zAbGrrauDP2/Y9e14u/IOHpc7gvcQSQP9KtZaiHuxP+KHI5KndrivaO83HSahxEuXlfV6kPjI5zltmxPuXFc0/8sWUPNv+xBwBgYKCPVy+9MWHSfPz99wWpedb+thRtWrdAp+//V+TzNG/WGA9drqB6zRZ48eKVTMr+oSMmnWR6PHlcXwCga2GEbpd+xa0R69DxyCIE7ruGgP3XpJZBoKGOAZ7bEeh4A0+3nJNp/Ya/OvbVx0hdNFAGJclXfsNZmR1LlZXX+/wslS8RHPoI27bux7at+wDk/06Ehrth2pSFOH36ktQ8t26fhaeHDxbYrgIACAQCBAQ9gMPuw9i8yUEibfv2Nrh6/QQqWzZCUlJKoeXQ0NBAULALHBz+xO/rtn91vRIinL76GPJQWuN4harfl8h5QkJdsW3rPmz94HoLC3fH1CkLcfp0wd9fAHC+fQ4eHo8lrrfAIBc47D6MTZt2S80zcGAvHHD8A6Ym9ZCXJ7v4/Y6JrvSbtF/q3I1j8PHyxcrF9gDy6/jwyQ0c2vcXdm91LJB+x/710NPTxYQRs8X7zl4/imdP/LF84Rqp5yivXw5Pw10wYuBk3L/zCEYVK8A76A4G9x4Ht4eeAIBy5fXw7PlDjPjfZNy//Uhm9VODQGbHeufsjaPw8XqKVR+02YMnN3B4319wkNJm2/evh66eLiZ90Gb/XD+CZ08CYPdBm5lbmuHsjaMYO3g6HE9sh6PDMRzcU3hc7dKjI/Yc2YLvLFsgNzdXJnULe/P4q4+hanFcpUa6TauYo4KZEZ7ef3+HOiMlHSHeQajV9LsiH+fdtPG0xMKDs56+HjJT0+XS4SbFUtNUR8VG1RF11/f9TpEI0Xd9YdLsW6l5TJrVQvSH6QG8vu0Dk2aSdy/NWtfFQJ9d6H13A5rbj4eWUflCy6FVoRyq/a8t4tyDZNrhLinVq1eFpaU5nP67J96XnJwCV1cvtLJpVmi+Pn26wcPDByf+2oNXLx/DzfU6Jk4Y8clzGRoaQCgUIjExWWbllxe5XV8CAVpvmw6/3ZeQHBj52XJU7tYUWkb6CD1554vqIXcioew2KrWsrKrAwsIMt25J/k64u3mjpU1TqXk0NTXRpEkDiTwikQi3/rtfaJ6i6N27CyoaG+HIkVNffAwq3d5fb+8HYZKTU+Dm5g2bz15v7/MU5XozMNRHcnKqXDrcsqapqYGGjevi3u2H4n0ikQj3bj9C0xbSH2Vq2qIx7n3UKb7z34NC02tqamDEmMFISkrGM98AAEBCfCKCg8IwaFhf6OrpQl1dHSPHDkFszBs88ZY+6FVaaGpqoIGUNrt/+yGatpD+eEqTFo1w/4P0wLs2e59eIBBg8+7fsHf7IQQFhHy2HIYVDNB/cG94uD6WWYdbZlQsjqvU6uWGphUAAMmxiRL7k2OTxN99jkAgwPCV4xHo5ofIwBdS05Q30kff2UPg/Ne/X1FaKq20K+pDTUMdmbFJEvsz45KhX6uS1Dw6phWQGfdR+tgk6JpVEH9+7fwYL6+6ITUiFuWtzNB4yTB0OvoTbvZdBdEHU2caL/8Rtcd3hYaeDuLcg3B7bCmcMlQEFuZmAIDo6FiJ/dExcbCwMCs0X43qVTF16mhs2boP637fhubNrLHlj1+RnZMj9R/D2traWLt2GU6cPIeUlFTZVkIO5HV91ZvZF8I8IQIPXC9SOWoO74QoZx9kfDQNvdRQkulk9HXMzfOfQ4yJiZPYHxMTJ/7uY8YmRtDQ0EBMdME8tb+r+cVlGTNuKP799w5eRUZ98TGodHt/vUnGpZiYWJgV+3qLLfR6MzY2wpIls3Hw4F8yKLX8GRnn1zEu5o3E/riYN6j5rfQZLqZmJoiL/Sh97BuYmplI7Pu+Wwfs2Lceuno6iImOxahBU5EQnyj+fuT/pmDfkS149twFQqEQb+LiMXbodCR/YlZKaSCvNps2dzzycvNwaO/xT55/8ap5GDPxR+iV04Wn22NMHD77k+kVQsXiuMxHul+8eIEJEyZ8Mk1WVhaSk5MltjyR7O/0terfHrufHhVv6prqX33MUasn45vvqsJh9map3+uU18W8g8vwKvgFzm85+dXnI9URcf4hIm94Isn/BSKveeD2mA0wblITZm3qSaTz230J17otx60f7SESCtFq6zQFlbh4hg8fiMT4QPGmqfll9/zU1NTg5eULuxXr4O39FPsPHMP+A8cxdfLoAmk1NDRw4i8HCAQCzJy19GuroLSMGlqh9qTueDTP4fOJAehaVoRFp0YI+ctZvgWjUulL47gsnlYbOqw/omJ8xZumZuHrrZSkSpUt0KVLB/x56G9FF4VkaNiw/oiOeSreSuJ609cvjzP/HIS/fzB+W7NF7ucr7VzuuaFnpyH4X88xuO10H7sObJR45nn1+mV4ExuPIb3HoX/Xkbhx5RYOHN8OM3OTTxy1bGrQuC7GTxmJhbM+/8jk3u2H0KfzMIweNBV5eUJs2iV9Sj+VHJmPdMfHx+Pw4cNwdCz4rMI79vb2+OWXXyT2NTasgyYV6hWS48t4/+uGUO8g8WcNrfwfUwPTCkj6YLTbwNQQL56Ff/Z4o36ZBOvvm8F+6AokRBUc/dEpp4MFh+2QmZqJ7VPXI08Jp/zS52XFp0CYmwcdU0OJ/TomBgVGJ9/JjE2EjslH6U0NkRGTWOh50iJikfkmGeWtzBF976l4f3Z8KrLjU5ESGoWkoFcY4LEdxs1q4Y1H8JdXqgRcvHgDrq5e4s/vFkEyNzdFVNT7hUDMzUzg/fhpgfzvvH4dg2d+gRL7/P2D8b+BvST2vetwV636Dbp2G6oUo9yAfK4vM5s60DExQD+3beLv1TTUYb1qJGpP7oGLNvMk8tYY1gHZCSmIvOH59RWSE5GK3SEvSV8axzU1DKGlaVRIjqK5cvlfuLt5iz+/+50wMzNBdNT70UczMxP4+EifXvomLgG5ubkF/lFuZmZSYGZNUY0ePQTxbxJw+TJnsJUlly//Czep15spoiSuN1M8Kfb1ZlrgeitfvhzOnT+M1JRU/Dhsaumb7luIhDf5dTT5aPEyEzNjxH40C+Wd2Jg4mJh+lN60YPqM9Aw8D3uB52Ev4OXuA2fXixg2aiB2bTmAth1s8EO3DmhUsx1SU9IAAHaLfkO7jq0w6Md+Up8lLy3k0WYtWjWFsWlF3H/8fi0WDQ0NLF+9ABOmjUT7Ju//HZQQn4iE+ESEhTxHcGAoXJ7cRJPmjeDlXnoWgVS1OF7sTveFC9IXN3onNPTzq9wuXboUtra2EvtmNRxT3KJ8VmZaJjLTJKeBJcYkoF6bhuJOtk55XdS0/ha3jn56yuWoXyahafeW+P3HVYh7WXClQJ3yuljw5wrkZudg2yR75GblyKweVLoIc/IQ7xMGi3b1EXnNI3+nQADzdg0QeOiG1DxxHsEwb19fYtEqiw4NEPeJjrKuZUVoG5VH5ic65gK1/IU/1LVKx2jQp6SmpiE1NU1i3+vX0fi+czs8ftvJ1tcvj5Ytm8Bh75+FHueBixu+qy05Za/2tzUQEfH+OeV3He5ataqjS9chiI9PkGFN5Ese11fYmXuSz4gD6HR8McLP3JP6zHaNYR0Rdvpe6V4rQMWCtSzJK45bmn/9a7Sk/U5ERcWgU6e2eOLjByD/d6J5C2vs33dU6jFycnLg5eWLTp3a4tLFmwDyHw3r1LkN9jgU/tvyKaNGD8bx42eVppNERVP49dZGfFNHX788WhTpemuDSxfzf6OlXW/6+uVx/sKfyMrKxpAhk5CVlSWnWsleTk4unjz2Q9sONrhx5RaA/Dq27WCDw/ulT5H3dHuMth1s4Ljnfbu179QKnm6fXoBLTU0NWlr5Nz90dHUAAEKh5DO7QpEIamqle1mqnJxc+L5ts5sftFmbDjb4c/8JqXm83HzQtoONxKJo7Tq1gqdbfkf57N+XCiwed/j0bpz9+xJOHz9XaFnUBPltpfWJNz4ohIrF8WJ3ugcMGACBQPDJaWQCwadXANTW1i7w6gV1wddP/S6Km46X0Hf2YESHv0bcixgMXDAcCdEJ8LzhKk6z6NgqeF53hdOfVwEAo1dPRqv+7bFt8jpkpGXA4O3z3xnJ6cjJyoZOeV0sPLISWjra2DtvK3T09aDzdrG1lDfJEAmV4wH/L5WenoGIl+9XhI58FQ3/wBAYGujD8hPP5iqzgL1X0WrLVMQ/DsMbrxB8N7kHNPS0EXbiNgCg1dZpyIhKwGP7/EcMAvdfww9n7FBnai9EOnmhWv/WqNioBtwWHQAAaOhpo8GC/+HFZTdkxiSivJU5rO2GIyUsGq+d839sjZvUREXrGoh1DUR2Yhr0rczQ8KchSAmLQpxHkPSClnLbtu/HsqVzEBQcivDwF/jl50V49Soa58+/vwl249pJnDt/Fbt2HwIAbN26D3fvnMeSxbNx6vRFtGhhjUmTRmLajPx3mmtoaODvk3vRxLoh+g8cC3V1dfFzevHxicjJKf03xGR9fWUnpCI7QXKkX5ibh8yYJKSEvJbYb96uPspXM0PI8VslUFNSBHnF8c/l+VI7dzjip8WzEBISjufhL2C30havX0fj4sX3N6EuXT6KixdviDs5O7btx559m+Dp6QMP98eYOWsC9PT0cPTIaXEeM3MTmJubosbbdzDXr18HKampePniFRIS3s8q6dSpDapXr4rDh6T/Q7ksUMU4Xpj86202gt9ebytWLihwvV2+fAwXLl4XX2/bt+3H3n2b4OX5BO7u3pg5ayL09PTE64zo65fHhYtHoKerg4kT5sHAQF/8ju7Y2DcFOpWl0f5df2LTzjXw8X6Gx55PMGHqKOjp6eLU287e5l2/Iep1NNavzp9RdXDPMZy86IjJM8bgv5t30HdgTzS0ro8l838FAOjq6WKW7WT8e80ZMVGxMDKugLETf4S5pRkun89va0+3x0hKTMbmnb9h6wYHZGZmYfjoQahStTL+u1FKF/n8wP5dR7Bp52r4eD/FY09fcZu96yBv2rUGUa9jsOGDNjtx8QAmidusBxpa18ey+asBAIkJSUhMkJzxlpuTg9joOIQGPwcAWDdriEZN6sPtoReSE5NRtXoV2C6dgfDQCHh95oYHyVexO92WlpbYtWsX+vfvL/V7b29vNGtW+MrDinbF4Ry0dHUwzn4a9AzKIdDNH5vHrpYYmTarZoHyFfXFn78f3QMAsOTkaolj7V+4A/dP30K1BjVQs0ltAMD6O5Lv+1zYbhrevPyy6WzKwtc/CBNmLxZ/Xr99LwCgf88u+M1ugaKKJVcRFx5C21gfDRcNho6pIRKePofzyN+RGZe/OrZeZWOJaTNx7kF4MHMnGi0egkZLhiIlLAp3J2xGUsBLAIBIKESFulVRfUh7aBqUQ0Z0AqJuP8GT9acgzM4fWcnNyEaVni3QcMEgaOhpIyMmEa9v+eDp1nPiNMpmw8ZdKFdODw671qNCBQPcv++G3n1HSYwA1KhRDSYfPN/l7vEYg4dMwpo1S2C3fB7Cwl/AdsEq/PVX/usiKle2QL++3QEAnu43Jc73Q5fBuH3HpQRq9nVkfX0VR43hnRDrFoiU4NefT6xISvCP1NJK2eL4H5v3oFw5PWzfsRaGhgZweeCGgf3HISsrW5ymeo1qMP7g3b5nzlyGiakx7FbYwtzcBD4+fhg4YJzEgmyTJo3EsuXzxJ9v/Jv/vPbUKQtx7OgZ8f4xY4fCxcUdgYGl8H31MqKKcbwwmzc7QK+cLnbssBdfbwP6j5WIS/nX2/u4dObMJZiYVoTdivkwNzeFj48fBgwYK77erK0boGXLJgAA36eSncW6ddohIqL4v9Ul7dK56zA2MYLtkhkwNTPBM98AjBk6HXGx+Y9bVqpsIXHzwMPtMeZMWYKFy2djkd0chIdGYMrouQj0z5+BJczLQ61vrTD4x00wqmiExIREPPZ6iiF9xolX5U6IT8SYodOxaPls/HVuPzQ0NRDkH4LJo+bC72lgwUKWMpc/aDMTMxP4+QZg3NAZhbaZp9tjzJuyFAuWz8JCu9kID43A1NHzxG1WFBnpGeje5wfMWzwdenq6iImOw+3/7mPHpp+QnV3KBh1ULI4X+z3d/fr1g7W1NX799Vep3z9+/BhNmjQp9l27knpPd1lRWt/TXVrJ+j3dZV1Jvae7rJD1e7rLOlm8pztlRk8ZlCSf/q6rMjuWMpBXHJfXe7rLqtL6nu7SqqTe011WyPo93WWdPN7TXZbJ4j3dqhbHiz3SvWjRIqSlpRX6fa1atXDrFqclEhERlUaM40RERCWr2J3u9u3bf/L7cuXKoWPHjl9cICIios9SsQVYZIlxnIiIFE7F4rjMXxlGREQkb7J4JzQREREphqrF8dK93j4RERERERGREuNINxERKR8Vm5ZGRERUpqhYHGenm4iIlI+KBWsiIqIyRcXiOKeXExEREREREckJR7qJiEjpiFTsDjkREVFZompxnJ1uIiJSPioWrImIiMoUFYvjnF5OREREREREJCcc6SYiIuUjVHQBiIiI6IupWBxnp5uIiJSOqj0LRkREVJaoWhzn9HIiIiIiIiIiOeFINxERKR8Vu0NORERUpqhYHGenm4iIlI+KPQtGRERUpqhYHOf0ciIiIiIiIiI54Ug3EREpHVVbgIWIiKgsUbU4zk43EREpHxWblkZERFSmqFgc5/RyIiKiYtq5cyesrKygo6MDGxsbuLq6FinfiRMnIBAIMGDAAPkWkIiIiEoNdrqJiEjpiIQimW3FdfLkSdja2mLVqlXw9PRE48aN0b17d8TExHwyX3h4OBYuXIj27dt/abWJiIjKBEXGcUVgp5uIiJSPUIZbMW3evBmTJ0/G+PHjUa9ePTg4OEBPTw+Ojo6F5snLy8PIkSPxyy+/oEaNGsU/KRERUVmiwDiuCOx0ExGRSsvKykJycrLElpWVJTVtdnY2PDw80KVLF/E+NTU1dOnSBS4uLoWe49dff4WZmRkmTpwo8/ITERFR6cZONxERKR2RUHabvb09DA0NJTZ7e3up542Li0NeXh7Mzc0l9pubmyMqKkpqnnv37uHAgQPYt2+fzNuBiIhIGckyjn+J4q7NkpiYiJkzZ8LS0hLa2tqoXbs2rly5UuTzcfVyIiJSPjKcTrZ06VLY2tpK7NPW1pbJsVNSUjB69Gjs27cPJiYmMjkmERGR0lPgtPB3a7M4ODjAxsYGW7ZsQffu3REQEAAzM7MC6bOzs9G1a1eYmZnh9OnTqFy5Mp4/f44KFSoU+ZzsdBMRkUrT1tYucifbxMQE6urqiI6OltgfHR0NCwuLAulDQkIQHh6Ovn37ivcJhfn/0tDQ0EBAQABq1qz5FaUnIiKi4vhwbRYAcHBwwOXLl+Ho6IglS5YUSO/o6Ij4+Hg8ePAAmpqaAAArK6tinZPTy4mISOkoalqalpYWmjVrBicnJ/E+oVAIJycntG7dukD6OnXq4MmTJ/D29hZv/fr1Q+fOneHt7Y0qVap8bVMQEREpHVnGcXmvzXLhwgW0bt0aM2fOhLm5ORo0aIC1a9ciLy+vyPVlp5uIiJSPAlc9tbW1xb59+3D48GH4+flh+vTpSEtLE98xHzNmDJYuXQoA0NHRQYMGDSS2ChUqQF9fHw0aNICWltaXtwEREZGykmEcl/faLKGhoTh9+jTy8vJw5coVrFixAps2bcKaNWuKXF1OLyciIiqGYcOGITY2FitXrkRUVBSsra1x7do1cQCPiIiAmhrvaRMREZUEea7NAuTPaDMzM8PevXuhrq6OZs2aITIyEhs2bMCqVauKdAx2uomISOl86WqlsjJr1izMmjVL6nfOzs6fzHvo0CHZF4iIiEiJyDKOy3NtFgCwtLSEpqYm1NXVxfvq1q2LqKgoZGdnF2nWGm/FExGR0lH0q0aIiIjoyynL2iwA0LZtWwQHB4sXQgWAwMBAWFpaFvkxMXa6iYiIiIiISCUUZ20WAJg+fTri4+Mxd+5cBAYG4vLly1i7di1mzpxZ5HNyejkRESkdjlATEREpL0XG8eKuzVKlShVcv34d8+fPR6NGjVC5cmXMnTsXixcvLvI52ekmIiLlIxIougRERET0pRQcx4u7Nkvr1q3x8OHDLz5fqel01xDpKLoISuV0oxWKLoJSGeyzWtFFUCp5jVYqughKZUmWj6KLoFSGK7oARKVAharfK7oISiUx4j9FF0Gp1P5uoKKLoFTeZKYoughUxpWaTjcREVFRcXo5ERGR8lK1OM5ONxERKR2RkNPLiYiIlJWqxXGuXk5EREREREQkJxzpJiIipaNq09KIiIjKElWL4+x0ExGR0hFx9XIiIiKlpWpxnNPLiYiIiIiIiOSEI91ERKR0VG1aGhERUVmianGcnW4iIlI6qrbqKRERUVmianGc08uJiIiIiIiI5IQj3UREpHREIkWXgIiIiL6UqsVxdrqJiEjpqNq0NCIiorJE1eI4p5cTERERERERyQlHuomISOmo2h1yIiKiskTV4jg73UREpHRU7VkwIiKiskTV4jinlxMRERERERHJCUe6iYhI6ajatDQiIqKyRNXiODvdRESkdEQi1QrWREREZYmqxXFOLyciIiIiIiKSE450ExGR0hEJFV0CIiIi+lKqFsfZ6SYiIqUjVLFpaURERGWJqsVxTi8nIiIiIiIikhOOdBMRkdJRtQVYiIiIyhJVi+PsdBMRkdJRtVeNEBERlSWqFsc5vZyIiIiIiIhITjjSTURESkckUnQJiIiI6EupWhxnp5uIiJSOqk1LIyIiKktULY5zejkRERERERGRnHCkm4iIlI6qvd+TiIioLFG1OM5ONxERKR1Ve9UIERFRWaJqcZzTy4mIiIiIiIjkhCPdRESkdFRt1VMiIqKyRNXiOEe6iYhI6QhFApltX2Lnzp2wsrKCjo4ObGxs4OrqWmjaffv2oX379jAyMoKRkRG6dOnyyfRERERlnaLjeEkr853ujraDMM9tB5YEHMTIY0tR0cr8s3maj+mK2fe2YGnAQUw49wsqNa4h8X05U0P0/2M65rvtxGK/A5h0eQ3q9GwhkWbYflvMebAVSwMOYp7bDvT/YzrKm1WQZdVk7ttxXdH30RYMDT2Irpd+QUXrGp9MX6VPS/S+swFDQw+ip9M6WH7fWOJ7mz+mYvirYxJbp2M/SaRpf8gW/dy2YmjoQQzw2oFW26ZD17yCrKtWqrh7P8HMn1ahc7+RaNC2J5zuPFB0kRSm9rguGPDoDwwPdUSPSz/D+DPXXNU+LdH3znoMD3VEbyd7VPromvtQy3XjMerVUdSZ1F3WxVYo2yUz4PbUCQEvXXHsn72wqlG1yHmnz52A5298sPI3yb/DqlbfYM+ff8AzwBm+4Q+w88AGmJhWlHXRy4yTJ0/C1tYWq1atgqenJxo3bozu3bsjJiZGanpnZ2cMHz4ct27dgouLC6pUqYJu3bohMjKyhEuunOxWzEdw6CPEvvHDxUtHULOm1WfzTJk6Gk/97iIu3h+3bp9Fs+aSvxXjJwzH1Wt/4VWUD1LTw2BoqC/1ON17dMat22cR+8YPLyK98dfJPbKoUomzWzEfIaGuiHvjj0uXjha5DZ/53cOb+AA43z4n0YZGRobYuOlneHk7Ie6NP/wD7mPDxlUwMJDejmWNqsbx0ROH4a7XFfhHuuLsjaNo3LTBJ9P36tcV/z48B/9IV1y9exqdurST+H7uT9Pw78NzeBrxEN4hd3Hknz2wbtZQIk39RnVw5IwDHofehWfQbazdvAJ65XRlXjd5Wm43D4EhDxEd9wzni/gbNnnKaDx5dgcxb/zwn/M/aNaskcT348b/iMtXj+Pl68dITguV+hu2cNEM3HQ6hajYp4iI9JZRbehLlelOd5tpfdByXHdcWXYQjv1XIic9CyOOLIG6tmaheer1aYWudiNxZ+s/2NfHDtF+ERhxZAn0jA3Eafpvng7jGpY4OWkT9nRbAv9r7hi0cw4s6lcTpwl3eYYzM7dj1/eLcHraVhhVM8Ngh7lyre/XqNqvFZqsGgnfzf/gWnc7JD6LQOfjS6D9Qb0/ZNL8W7TZNQshfznjWrfleHnNHe0dbWH43TcS6V799xhnG88Qb/dn7JD4Pub+M9yfuh2X2i/CvclbUd7KDG33ld52koWMjEx8V6sGli+YoeiiKFS1fjZotmokfDafxZXudkh4FoHvjy/+5DXXbtdMhPx1G5e72eHlNQ90dJxf4JoDgCo9msOkWS2kv46XdzVK1LQ54zFuyggsW7ga/buNRHp6Bo6ccoC2ttZn8zZqUh8jxw7BM98Aif26ero4enoPIBJh+IDJGNRzLDS1NHHg+HYIBKX37rFIJJDZVlybN2/G5MmTMX78eNSrVw8ODg7Q09ODo6Oj1PTHjh3DjBkzYG1tjTp16mD//v0QCoVwcnL62mYo8+bbTsW06eMwd44dOnUciLT0DJy7cPiT1/ygQb1hv2457NduRbs2feD7xA/nzh+GqamxOI2urg5u3ryNjRt2FXqc/v17YN/+zTh65BRa2/RC1x8G49TJCzKtX0mwtZ2G6dPHY86c5ejUcQDS0jNw/sKf0NbWLjTPoEF9sG6dHezXbkXbNr3x5MkznD//p7gNLS3NYWlpjmXL1qJF826YOmUhunbtiF27fy+paimUKsbx3gO6Y/nqhdi6YQ/6fP8j/HwDcPjUbhibSL9B27RFY2zdtw5/Hz2L3p2H4eaVW9hzZAtq16klThMW8hyrFtujR/tBGNJrHCIjXuHw6d2oaGwEADCzMMXRf/YiPOwFBnYbhXFDZ+DbOjWxccfqEqmzLMyznYqp08dh3hw7fN/pf0hPS8c/5w998jfsf4N6Y+26ZVhnvw3t2/bFkyd++Of8YZh88Bump6eLf/+9g00bdxd6HC0tLZw7exUH9h+TaZ1kRZFxXBHKdKe75cQeuLvjHAJveiDG/wXO2+6GvlkF1OnWrNA8rSb1hNeJW3h86g7igiJxeZkjcjKyYD20ozhNlWbfwu3QDbx6HIrEF7G4t/0cMpPTYNGwujjNowPXEOkVjKTIOLz0CMKDXRfxTZNaUNNQl2udv9R3U3oi5PgthJ28g+SgSLgtdkRuRhZqDO8oNX3tST3w+pYP/HdfRnLwKzzZcBoJT8Lx7fhuEumE2TnIjE0SbzlJ6RLfB+y7hjeewUiPjEOcexD8dlyESdNaEJTSdpKF9q1bYM6UsejSsa2ii6JQdaf0RPDxWwg9eQdJQa/waPFB5GVkoVYh11ydSd3x6pYPnr295h5vOI34J+H4bnxXiXS6FkZovmYM7s/cBWFuXklUpcRMnDoKOzbtw82rzvB/FgTb6cthZmGKbr2+/2Q+vXK62Opgj8Xzf0ZSYrLEd81bWuObqpWwYNYKBPgFIcAvCAtm2KGRdX206dBSntX5KiKR7LasrCwkJydLbFlZWVLPm52dDQ8PD3Tp0kW8T01NDV26dIGLi0uRyp6eno6cnBxUrMjZBJ8zc9YErP99By5fuomnvv6YMmkBLC3N0bdvt0LzzJozCYcOnsTRI6fh7x+MObOXIyMjA6PHDBGn2bXzIDZvcoCbq5fUY6irq2P9xpWwW26PA/uPIzg4DP7+wfjnn8syr6O85bfhdly+dBO+vv6YPMn2s204e84kHDx4AkeOnJJowzFjhgIAnj0LxMgR03H1ihPCwiJw+7YLfvl5I3r1+gHq6mU3fr+jinF80ozROHnkH5w+fh7BAaFYvmANMjIyMWTkAKnpx08didtOD7B3x2GEBIZhs/1OPPXxw5hJP4rTXDhzFfdvP8KL55EICgjBmhUbYWCgjzr1vwUA/NCtA3JzcrFy0VqEBj+Hj9dT2C1Yg579uqJa9SolUe2vNmPmeGxYvwNXLv+Lp77+mDp5ISwtzdHnU79hsyfi8MGTOHbkNAL8gzFvjp3U37A/PvEbBgBrf9uCnTsc8fRpQKFpFEmWcVwZlNlOd4UqptA3M0LYvafifVkpGYj0DkHlpt9KzaOmqQ7LhtURds/3/U6RCGH3fPHNB3leeAShXt9W0DEsBwgEqN+3FTS0NfHcxU/qcXUMy6HBgLZ44RFUKjsBaprqqNioOqLuStY7+q4vTJpJbyuTZrUQ/WF6AK9v+8CkWS2JfWat62Kgzy70vrsBze3HQ8uofKHl0KpQDtX+1xZx7kEQlcJ2Itl5d829vvv+7xMiEV7ffVrgGnrHtFktyWsU+dec6YfpBQK03TYNz3ZfRlJg2Zq6W6VaZZhZmOLe7YfifSkpqfD2eIKmLQqfZg8Aq9cvx3837+L+7UcFvtPS1oJIJEJ2VrZ4X1ZWFoRCIVrYNJVdBUoxe3t7GBoaSmz29vZS08bFxSEvLw/m5pKPKpmbmyMqKqpI51u8eDEqVaok0XGngqysqsDCwgy3bt0T70tOToG7mzdaFnJtampqokmTBhJ5RCIRbv13v9A80lg3aYDKlS0hFApx3+USgkMf4Z9zB1GvXu0vr5ACvG/D++J9yckpcHPzhs1n2/B9nqK0oYGhPpKTU5GXx/hd1mhqaqBB47oS8UckEuH+7Ydo2qKR1DxNWjTC/Q/SA8Cd/x4Uml5TUwPDxwxCclIy/HwDAeTHp+ycHIg+6FVlZubfEG3eqslX1akkvPv7c/7o7y//N0x6+TU1NWEt5e/P+dZ9tGxZ+utMhSt2pzsjIwP37t3Ds2fPCnyXmZmJP//887PHkDaqkCuS7Y/0u+en0+KSJPanxSWhvGkFqXn0jPShpqGO1AJ5klHe1FD8+czMbVDXUMcin71YFnQIvdZOxKkpW5DwPFoi3w9LfsRivwNY5LMXhpWN8fekzV9fMTnQrphf78xYyXpnxiVD54N6f0jHtAIyP2qnzNgk6H7w3Ppr58d4ONcB/w21h/dvJ2DWui46Hf0JAjXJaSCNl/+IIcEHMOjZXpSrZIw740tnO5HsFH7NJUH3k9ec5ChtZmwydD645urP7ANhnhABB67LvMyKZmZmAgCIi30jsT8u9g1MzYylZQEA9B3YAw0a1cX61Vulfu/l7oP09AwsWTUfOro60NXTxfJfF0BDQwNm5iayq4CMyXIBlqVLlyIpKUliW7p0qVzKvW7dOpw4cQJnz56Fjo6OXM7xOfKK4yIZDzeYm5sCAGJi4iT2x8TEib/7mLGJETQ0NBATXfQ80lS3yh9FW7Z8Htav24HBgyYiMSEJV6/9BSMj6b9RpdH7NoyV2B8TEwuzYrdhbOHtbmyEJUtm4+DBv2RQaiptjIzzr4m4mI/iT8wbmJpJjxOmZiaFxCvJ9N936wDf5y7wf+WGCdNHY/SgaUiITwQAPLjjClMzY0yZNRaamhowMNTH4pX5jyCW5vj0jtknfsPMzAr/W9LQ0EBsMX73lBUXUvuEwMBA1K1bFx06dEDDhg3RsWNHvH79Wvx9UlISxo8f/9njSBtVuJP09LP5PqXBgDZY/OyAeJPnNO5OCwZDx0APR0asxYG+K/Bo/1UM2jkbZt9JTnV5sOcS9vVajqMj7SHME6L/H9PkVqbSKOL8Q0Te8ESS/wtEXvPA7TEbYNykJsza1JNI57f7Eq51W45bP9pDJBSi1VbVaieSjYoNrVBnUne4zFPOhY4+NmBwLzx7/lC8aWgW/w2PlpXMsWrtYsydugRZH4xkfyj+TQJmjF+ILt07wi/iIXzD7sPAUB9PvJ9BWIrnbMnyWTBtbW0YGBhIbIU972piYgJ1dXVER0veZI2OjoaFhcUny7xx40asW7cON27cQKNG0kd75E2ecTwnN/GryjZ0WH9ExfiKN03NwtdfkTeBWv4/jzas34nz56/B28sX06b+BJFIhIH/66Wwcn3OsGH9ER3zVLyVRBvq65fHmX8Owt8/GL+t2SL381HZ4nLPDb07DcWgnmNw2+k+dhzYIH5OPCggBAtnrsCkGWPw7OUjuPr9hxfPIxEbHQehsPTFp6HD+uNV9BPxpvkFcVuVqNoz3cW6GhYvXowGDRrA3d0diYmJmDdvHtq2bQtnZ2dUrVr0FXSXLl0KW1tbiX2bGkwpTlEKCLzpiUivEPFnDa38qpUzMURqTKJ4fzkTQ0Q9ey71GOkJKRDm5qG8ieRd7HImBkh9OyJnVNUMLcd1h0OXnxAblD99NdovAlVafofmY7riyvL3C+lkJKQiIyEV8WFRiAt+hXmPtqNy01qI9Az+qrrKWlZ8fr0/HtXWMTEoMBL5TmZsInQ+aicdU0NkfNDWH0uLiEXmm2SUtzJH9AfT/rPjU5Edn4qU0CgkBb3CAI/tMG5WC288Slc7kewUfs0ZIuOT15zkIms6pgbIfHvNmdl8Bx0TAwx0ez+iq6ahjqarRqLO5B44ZzNftpWQs5vXnOHl8UT8WUsrf9EVE1NjiREoE1PjAoujvdPQuh5MzYxx+dZJ8T4NDQ3YtGmGsZN+xLeWzSEUCnHX2QUdmveGUcUKyMvNy59++uw/vDj7Uk61U15aWlpo1qwZnJycMGDAAAAQL4o2a9asQvOtX78ev/32G65fv47mzZuXUGkLkmcctzT/uhsJVy7/C3c3b/HndwsNmZmZIDrq/UitmZkJfHwKjtIDwJu4BOTm5hYYBTMzM0F0dKzUPNJER+WvRO/vFyTel52djbDwF6hSpXKRj1PSLl/+F25S29AUURJtaIonxW5D0wJtWL58OZw7fxipKan4cdhU5ObmyqgmVJokvMm/Jkw+mlVlYmZcYET2ndiYOImFv4D8ePVx+oz0DDwPe4HnYS/g7f4E/7lewNBRA7B7S/6/py+cuYoLZ67CxLQi0tMzIBIBE2eMxovw0hefPv4N0/rEb9iTJ4X8/b1t649nBBT3N4xKn2KNdD948AD29vYwMTFBrVq1cPHiRXTv3h3t27dHaGhokY8jbVRBQ/B1I9PZaZlIeB4t3mKDIpESk4DqbeuL02iV10Vl65qI9AySegxhTh5ePwmD1Qd5IBCgetsGePk2j6Zu/ujHx9PoRHnCAtOmP/TuOw0txd25L4wwJw/xPmGwaCdZb/N2DRDnIb2t4jyCYd6+vsQ+iw4NEPeJjrKuZUVoG5UXd5KkeddO6qWwnUh2CrvmLNrVL/QaivUIhsVH15xlhwaIfZs+9Mx9XPphGS53XS7e0l/H49nuy/hvxHq51UVe0lLTxf8QeR72AkEBIYiJikXbDjbiNOX1y8G6WUN4uj2Weoz7dx6ha9v/oWfHoeLtsZcvzp2+jJ4dh0IoFEqkT4hPRHJyCtq0bwkT04q4ec1ZnlX8KoqclmZra4t9+/bh8OHD8PPzw/Tp05GWliYeIR4zZozE9PTff/8dK1asgKOjI6ysrBAVFYWoqCikpqbKrD2KSp5x/GtXu09NTUNo6HPx5ucXhKioGHTq9H6xKn398mjewhqujzylHiMnJwdeXr4SeQQCATp1blNoHmm8vHyRmZmFb2u/f42hhoYGqlX9BhERpXe9iMLbsI04jb5+ebRoYY1Hn23D93mktaG+fnlcuHgE2dk5GDJkUqGLD5Lyy8nJhe9jP4n4IxAI0KaDDTzdfKTm8XLzkUgPAO06tSo0/Ttqamrim8wfiouNR3paBvoM6I6szGzcdX4oJbdiffz35//276/jR39/+b9h0hdAy8nJgbeUv7+OndrA9ROLpikjVZteXqyR7oyMDGhovM8iEAiwe/duzJo1Cx07dsTx48dlXsCv4XrgGtrNHoD4sCgkvohFpwWDkRKTCP8bHuI0o44vhf91d7gfvgkAeLj/KvpvmorXPmF49TgELSf0gKaeNh6fug0AiAt5hTdhUei1diL+/e0YMhJS8V335qjRvgFOTNgIAKhkXROVGtfAC7dAZCalwaiaGTotGIL48Chx5720Cdh7Fa22TEX84zC88QrBd5N7QENPG2En8uvdaus0ZEQl4LF9/ohZ4P5r+OGMHepM7YVIJy9U698aFRvVgNuiAwAADT1tNFjwP7y47IbMmESUtzKHtd1wpIRF47Vz/g+ucZOaqGhdA7GugchOTIO+lRka/jQEKWFRhXb2y4L09AxEvHwl/hz5Khr+gSEwNNCHpYWZAktWsvz2XkWbt9dcnFcI6r695kLeXnNttk5FelQCvO3/BgD477+ObmeWo+7Unoh08obV22vu4aL8u+HZCanITpDsxAhz85AZk4jkkNcoCw7sOYrZC6YgLDQCL55HYsGymYiJisWNK/+J0xw/uw/XLzvh8P4TSEtNR6C/5E2M9LQMJMQnSewfMqI/ggPD8CYuHs1aNMaqtYtxYPcRhAaHl1TVik2REwuHDRuG2NhYrFy5ElFRUbC2tsa1a9fEi6tFRERATe39Pe3du3cjOzsbgwcPljjOqlWr8PPPP5dk0ZUuju/c4YifFs9CSEg4noe/gN1KW7x+HY2LF2+I01y6fBQXL97AHof8Z9F3bNuPPfs2wdPTBx7ujzFz1gTo6enh6JHT4jxm5iYwNzdFjbfvy61fvw5SUlPx8sUrJCQkISUlFQf2H8Nyu3l4+fI1XkREYu78/Bl5Z5VsBfP8NpyN4LdtuGLlggJtePnyMVy4eF3chtu37cfefZvg5fkE7u7emDlrIvT09HDkyCkA7zvcero6mDhhHgwM9MXv6I6NfVPghl5Zo4pxfP+uI9i0czV8vJ/isacvJkwdBT09XZw+fg4AsGnXGkS9jsGG1dsAAAf3HMOJiwcwacYY/HfzDvoO7IGG1vWxbH7+67509XQx03YS/r3mjNioOBgZV8DoiT/CwtIMV87fFJ93zKQf4eHqjfS0DLTr1ApLf56P9au3ISU5pcTb4Evs2nkQi36ahZDgcDx//hJ2K+bj9etoXPrg7+/C5aO4dOE69u45AgDYsf0AHPZuhJfXE7i7P8aMmeML/w2rkf+64nr16yD1g98wAPjmm0owqmiIKt9Ugrq6Gho2qgsACA15jrQ0ybcJKULpe0BAvorV6a5Tpw7c3d1Rt25dif07duS/e7lfv36yK5kMPHC4BE09bfS2nwgdAz1EuAfi+JjfkZeVI05jVNUcekbvXyj/7NJD6Bnro6PtYJQ3NUT0s+c4PuZ3pL1dwEmYm4cT49bj+yU/YtiBhdAqp42E8Gict92D4Fv5o025Gdmo06MFOs4fBC1dbaTEJiLE2Qf3tp9DXnbpnHoVceEhtI310XDRYOiYGiLh6XM4j/xdvHCVXmVjiD54fibOPQgPZu5Eo8VD0GjJUKSEReHuhM1ICsif7iMSClGhblVUH9IemgblkBGdgKjbT/Bk/SkI37ZBbkY2qvRsgYYLBkFDTxsZMYl4fcsHT7eeE6cpi3z9gzBh9mLx5/Xb9wIA+vfsgt/sFiiqWCXu+YVH0DY2QKNFg6D79pr7b+R68TVXrrJJgWvu3sxdsF48BNZvr7nbE/4QX3OqwGHbQejp6cJ+80oYGOrD/ZEXxgydLvG8dlWrb2BU0ahYx61Rywo/2c1FBSNDvIyIxI7N+7B/9xFZF79MmTVrVqHTyZ2dnSU+h4eHy79ARaRscfyPzXtQrpwetu9YC0NDA7g8cMPA/uMkrvnqNarB2Pj9NX/mzGWYmBrDboUtzM1N4OPjh4EDxkksZjRp0kgsWz5P/PnGv/k396ZOWYhjR88AAJYvs0dubh72798MHV1tuLs9Ru9eI5D40Wv3SrvNmx2gV04XO3bYi9twQP+xEiPT+W34/hV2Z85cgolpRditmA9zc1P4+PhhwICx4ja0tm4gXknZ9+kdifPVrdMOERFl+3dZFeP45XPXYWxiBNslM2BiZgI/3wCMGzoDcbHxAIBKlS0kbrZ4uj3GvClLsWD5LCy0m43w0AhMHT1PfMM3Ly8PNb+tjkE/9oNRxQpITEiEj9dTDO0zHkEB7x8Xbdy0AeYtng69cnoIDQrD8gVrcPbvSyVb+a+wZfMelNPTxbZ3v2Eu7hg0YLzkb1j1qhJ/f/+cuQwTk4pYZjcf5uYmeOLjh0EDxklMzZ84cSSWLp8r/nz9Zv6g2LSpi3D83W/YinkYOer9zd77Lvk3DHv1GI57dwu+zYTkSyAqxnKj9vb2uHv3Lq5cuSL1+xkzZsDBweGL7nCurjay2HlUWa2cz6eh9wb7rFZ0EZTKyUYrFV0EpbI869PT5UjS8zdf314PLAfJoCT52rw+I7NjlXbyjOPl9ap/bfFUikjlxnm+TmLEf59PRGK1vxuo6CIolTeZyjFyXlokpxX9caTCqFocL9Yz3UuXLi00UAPArl27yvyUIiIiUjxVW/VUVhjHiYioNFC1OF7s93QTERERERERUdHwBXJERKR0OBZLRESkvFQtjrPTTURESkcE5ZhORkRERAWpWhzn9HIiIiIiIiIiOeFINxERKR0hF34mIiJSWqoWx9npJiIipSNUsWlpREREZYmqxXFOLyciIiIiIiKSE450ExGR0lG1BViIiIjKElWL4+x0ExGR0lG1V40QERGVJaoWxzm9nIiIiIiIiEhOONJNRERKR9WmpREREZUlqhbH2ekmIiKlo2rT0oiIiMoSVYvjnF5OREREREREJCcc6SYiIqWjanfIiYiIyhJVi+PsdBMRkdJRtWfBiIiIyhJVi+PsdBMRkdIRqlasJiIiKlNULY7zmW4iIiIiIiIiOWGnm4iIlI4QApltREREVLIUHcd37twJKysr6OjowMbGBq6urkXKd+LECQgEAgwYMKBY52Onm4iIlI5IhhsRERGVLEXG8ZMnT8LW1harVq2Cp6cnGjdujO7duyMmJuaT+cLDw7Fw4UK0b9++2Odkp5uIiIiIiIhUwubNmzF58mSMHz8e9erVg4ODA/T09ODo6Fhonry8PIwcORK//PILatSoUexzstNNRERKRyjDjYiIiEqWLON4VlYWkpOTJbasrCyp583OzoaHhwe6dOki3qempoYuXbrAxcWl0PL++uuvMDMzw8SJE7+ovux0ExGR0hEKBDLbiIiIqGTJMo7b29vD0NBQYrO3t5d63ri4OOTl5cHc3Fxiv7m5OaKioqTmuXfvHg4cOIB9+/Z9cX35yjAiIiIiIiJSSkuXLoWtra3EPm1tbZkcOyUlBaNHj8a+fftgYmLyxcdhp5uIiJQOF0AjIiJSXrKM49ra2kXuZJuYmEBdXR3R0dES+6Ojo2FhYVEgfUhICMLDw9G3b1/xPqEw/+E0DQ0NBAQEoGbNmp89L6eXExGR0uEz3URERMpLUXFcS0sLzZo1g5OT0/uyCIVwcnJC69atC6SvU6cOnjx5Am9vb/HWr18/dO7cGd7e3qhSpUqRzsuRbiIiIiIiIlIJtra2GDt2LJo3b46WLVtiy5YtSEtLw/jx4wEAY8aMQeXKlWFvbw8dHR00aNBAIn+FChUAoMD+T2Gnm4iIlI6Q658REREpLUXG8WHDhiE2NhYrV65EVFQUrK2tce3aNfHiahEREVBTk+2EcHa6iYhI6QjBXjcREZGyUnQcnzVrFmbNmiX1O2dn50/mPXToULHPx2e6iYiIiIiIiOSEI91ERKR0uHo5ERGR8lK1OM5ONxERKR0+001ERKS8VC2Ol5pO95xOUYouglIx/stf0UVQKnmNViq6CEplmM+vii6CUnFrvkzRRSBSuMzcbEUXQalU1jdWdBGUSu3vBiq6CEolMOCsoougVEysuiq6CFTGlZpONxERUVHx/dpERETKS9XiODvdRESkdFTtWTAiIqKyRNXiOFcvJyIiKqadO3fCysoKOjo6sLGxgaur6yfTnzp1CnXq1IGOjg4aNmyIK1eulFBJiYiISNHY6SYiIqUjFMhuK66TJ0/C1tYWq1atgqenJxo3bozu3bsjJiZGavoHDx5g+PDhmDhxIry8vDBgwAAMGDAAvr6+X9kKREREykmRcVwR2OkmIiKlI5ThVlybN2/G5MmTMX78eNSrVw8ODg7Q09ODo6Oj1PRbt25Fjx49sGjRItStWxerV69G06ZNsWPHji84OxERkfJTZBxXBHa6iYhIpWVlZSE5OVliy8rKkpo2OzsbHh4e6NKli3ifmpoaunTpAhcXF6l5XFxcJNIDQPfu3QtNT0RERGULO91ERKR0ZHmH3N7eHoaGhhKbvb291PPGxcUhLy8P5ubmEvvNzc0RFSX91ZdRUVHFSk9ERFTWqdpIN1cvJyIipSOS4TNcS5cuha2trcQ+bW1t2Z2AiIiIJMgyjisDdrqJiEilaWtrF7mTbWJiAnV1dURHR0vsj46OhoWFhdQ8FhYWxUpPREREZQunlxMRkdJR1LQ0LS0tNGvWDE5OTu/LIhTCyckJrVu3lpqndevWEukB4ObNm4WmJyIiKus4vZyIiKiUU2SQtbW1xdixY9G8eXO0bNkSW7ZsQVpaGsaPHw8AGDNmDCpXrix+Lnzu3Lno2LEjNm3ahN69e+PEiRNwd3fH3r17FVgLIiIixVGWzrKssNNNRERUDMOGDUNsbCxWrlyJqKgoWFtb49q1a+LF0iIiIqCm9n4iWZs2bXD8+HHY2dlh2bJl+Pbbb3Hu3Dk0aNBAUVUgIiKiEsRONxERKR2Rgs8/a9YszJo1S+p3zs7OBfYNGTIEQ4YMkXOpiIiIlIOi43hJY6ebiIiUjlDFVj0lIiIqS1QtjnMhNSIiIiIiIiI54Ug3EREpHVVbgIWIiKgsUbU4zk43EREpHVUL1kRERGWJqsVxTi8nIiIiIiIikhOOdBMRkdJRtVVPiYiIyhJVi+PsdBMRkdJRtVVPiYiIyhJVi+OcXk5EREREREQkJxzpJiIipaNqC7AQERGVJaoWx9npJiIipaNqz4IRERGVJaoWxzm9nIiIiIiIiEhOONJNRERKR6hy98iJiIjKDlWL4+x0ExGR0lG1Z8GIiIjKElWL45xeTkRERERERCQnHOkmIiKlo1qT0oiIiMoWVYvj7HQTEZHSUbVpaURERGWJqsVxTi8nIiIiIiIikhOOdBMRkdIRChRdAiIiIvpSqhbH2ekmIiKlo2qvGiEiIipLVC2Oq9T0cq0f+kN/4zEY7LuKcit3QL3Gd0XKp2nTGYaHnaA351eJ/bqTfoLhYSeJTW+BvTyKrlA/r1qIF889kZIUjOtXT6BWreqfzVOpkgUOH9qG6Ne+SEkKhpfnv2jWtBEAQENDA/Zrl8HL818kJQQhItwDBx23wtLSXN5Vkbva47pgwKM/MDzUET0u/Qxj6xqfTF+1T0v0vbMew0Md0dvJHpW+b1xo2pbrxmPUq6OoM6m7rItdqrl7P8HMn1ahc7+RaNC2J5zuPFB0kRSq5/wh+NV1Nzb4/4kZR5fD1Mrik+lrtqyDyfsX4ddHu7A1/AQadmsuNZ15zUqYtG8h1vk4Yv2zQ1hw/jcYVTKWRxWIiu1L4tD0aWMRHPgQqckheHDvIlo0ty407aULR5CbHYl+/d7/vo4ZPRS52ZFSN1PT0vm3MWbiMNzzuoqASDecu3EMjZs2+GT6Xv26wunheQREuuH63TPo3KWdxPfzfpoOp4fn4RfxCD4h93Dsn72wbtZQIk31mtWw7+hWeAXehm/4A5y+fAit27WQed3kYfTEYbjrdQX+ka44e+Nokdrr34fn4B/piqt3T6PTR+0196dp+PfhOTyNeAjvkLs48s+eAu1Vv1EdHDnjgMehd+EZdBtrN6+AXjldmdetNFGlOL7Mbh4Cgl0QFfsU5y/+iRo1rT6bZ9KUUfB5ehvRcc/gdOsMmjZrJPG9trYWNm7+GWHP3REZ5YMjx3bC1Kzgb9CIkYNw/+FlRMc9Q3CYKzZu/lnq+WrUqIaXrx/j+UuvL6kifSGV6XRrtuwEneHTkHn+T6SumgbhixCUW/g7BPoVPplPYGIOnR+nIjfAR+r3OT6uSJ4zWLyl7/5NDqVXnEULZ2DWzAmYMWsJ2rTri7T0dFy5dAza2tqF5qlQwRB3nM8hJycXffqOQsPGnfHTT78iITEJAKCnp4sm1g3x29qtaGHTA0OGTsZ3tWvg7D8HS6paclGtnw2arRoJn81ncaW7HRKeReD744uhbWwgNb1J82/RbtdMhPx1G5e72eHlNQ90dJwPw+++KZC2So/mMGlWC+mv4+VdjVInIyMT39WqgeULZii6KAr3w7R+6DC+B/5evh9/DLBDdkYWpv25FBramoXm0dLTQaTfc5xeWfjfl3FVc8w9/QtiQl5h+/Bf8XuPxbi+/R/kZOXIoxoyIZLhRqXbl8ShIUP6YeOGVVi9ZjNa2PTAY59nuHL5mNTO8tw5kyESFbwS/j51AZWrWEts16/fwu3bDxAb+0amdZSFPgO6w271Imzd4IA+3w+Dn28AjpxygLFJRanpm7VojO37fsffR8+id+ehuHHlP+w9shW169QSpwkLeY6Vi9eiW/v/YVCvsXgZ8QpHTjugorGROI3j8e3QUFfH8AGT0Of7H+H3NBCOx3dI7RSUJr0HdMfy1QuxdcOe/HL7BuDwqd2FtlfTFo2xdd+6t+01DDev3MKeI1sKtNeqxfbo0X4QhvQah8iIVzh8ere4vcwsTHH0n70ID3uBgd1GYdzQGfi2Tk1s3LG6ROqsKKoSx+fNn4Kp08Zi/twV+KHT/5CWlo6z5w5CW1ur0Dz/G9Qba+2X4Xf7bejQrh98ff1x9twhmHzwW2X/ux169PwBY8fMRu8eI2BhYYajx3ZLHGfmrAlYscoWf2xyQKsWPdC/z2g4/Xu3wPk0NDRw4OAWuDxwl13Fv5CqxXGV6XRr9RiM7NtXkHP3OoSvniPj0BaIsrOg1aFH4ZkEatCbtgyZZw9DGPNaepqcHIiSEsQb0lPlUwEFmTN7Etbab8XFizfw5Ikfxo2fi0qVzNG/f+GjrT8tmoGXL19h0mRbuLl7Izz8BW7+ewehoc8BAMnJKejRazhOn76IwMAQPHL1xJy5dmjerDGqVKlUUlWTubpTeiL4+C2EnryDpKBXeLT4IPIyslBreEep6etM6o5Xt3zwbPdlJAe/wuMNpxH/JBzfje8qkU7XwgjN14zB/Zm7IMzNK4mqlCrtW7fAnClj0aVjW0UXReE6TuiJG9vPwvemB175R+Co7U4YmhsVOnoNAH7O3riy6W/4XHcrNE2fRcPw7JY3Lqw7jsin4XgTEQ3ffz2Q+iZZHtWQCaEMNyrdviQOzZ87GfsPHMfhP/+Gn18QZsxcgvT0DIwf96NEusaN62P+vKmYNGVBgWNkZmYiOjpWvOXl5aFz57ZwPHRC5nWUhUkzxuDEkTM4dfw8ggJCsWzBamRkZGDoyAFS04+fOhK3ne5jz45DCA4Mwyb7nfD18cPYSe/b6PyZK7h/+xFePI9EUEAIVq/YAAMDfdStXxsAYFSxAmrUssKurY7wfxaE8NAIrPt1C/TK6aJ23VpSz1taTJoxGieP/IPTx88jOCAUyxesQUZGJoZ8sr0eYO+OwwgJDMNm+5146uOHMR+014UzVyXaa82KjTAw0Eed+t8CAH7o1gG5OblYuWgtQoOfw8frKewWrEHPfl1RrXqVkqi2QqhKHJ8+czw2rt+JK5f/xdOnAZg2ZSEsLM3Rp2+3QvPMnDUBhw+dxLGjZxDgH4x5c+yQnpGB0aMHAwAMDMpj9JghWL70N9y57QJvb1/MmL4YrVo3Q/MW1gCAChUMYLfSFtOmLMLpUxcRFhaBp08DcPWKU4HzrVhpi8DAEJz954pc2qA4VC2Oq0anW10D6la1kfvU8/0+kQi5Tz2hXqteodm0B4yGKDkROXeuFppGo05j6G8/jfLrDkFn7FwIykkf1VRG1atXhaWlOZz+uyfel5ycAldXL7SyaVZovj59usHDwwcn/tqDVy8fw831OiZOGPHJcxkaGkAoFCIxsfT+I/9T1DTVUbFRdby++/T9TpEIr+8+hUkz6f/wMG1WC1F3fSX2vb7tA9MP0wsEaLttGp7tvoykwEh5FJ2UhHEVMxiaGSHw/hPxvsyUDDz3Dkb1prW/+LgCgQD1OjdBTNhrTPtzKda478H8c2s+2ZEnKilfEoc0NTXRtGkjOP33fpRHJBLB6b97aNXqfR5dXR0c+XMHZs9dhujo2M+WZfSoIUhPz8CZM5e/okbyoampgYaN6+Le7YfifSKRCPduP0LTFtIfW2raojHu3X4kse/Ofw8KTa+pqYERYwYjKSkZz3wDAAAJ8YkIDgrDoGF9oaunC3V1dYwcOwSxMW/wxPuZjGone5qaGmggpb3u336Ipi0aSc3TpEUj3P8gPfCuvaSn19TUwPAxg5CclAw/30AAgJa2FrJzciRmVmRmZgEAmrdq8lV1IsWysqoCCwszON+6L96XnJwKd3dvtGgp/b+tpqYmrJs0gPOt99PtRSIRnG89EOexbtIQWlpaEscNCgxFREQkWr5N0/n7dlBTU4OlpTlcPa7jWcA9HPpzGypXtpQ4X4eOrTFgYE8stP1ZRrWm4ih2p9vPzw8HDx6Ev78/AMDf3x/Tp0/HhAkT8N9//xXpGFlZWUhOTpbYsvLkd59CoG8Igbp6/kj0B0RJCRAYSp9GpP5tA2h16IkMx02FHjf3iRvS961D2u+LkPn3Pmh81xh6C+0BQdm4l2FhbgYABf4xEh0TBwsLs0Lz1aheFVOnjkZwcBh69RmBPXv+xJY/fsXo0UOkptfW1sbatctw4uQ5pKQo50wB7Yr6UNNQR2ZsksT+zLgk6JoaSs2jY1oBmXGSNxkyY5OhY1ZB/Ln+zD4Q5gkRcOC6zMtMykXftAIAIOWjaywlNkn83Zcob2IAnfK66DK9H/xvP8buMWvx5LorJjjYoqZN3a8osXwJIZLZpmrkFcelTdH+Wl8Sh0xMKkJDQwMx0XES+2NiYmFhbir+vGnjL3BxccfFizeKVJbx43/EXyfOITMzszhVKBFGxkbQ0NBAXIzktPe4mDcwNTORmsfUzARxH02Tj4stmP77bh3w7PlDBL5yx8TpozBq0FQkxCeKvx/5vymo36gOnj13QeArN0yaMRpjh05HclKKbConB/JuL9/nLvB/5YYJ00dj9KBp4vZ6cMcVpmbGmDJrLDQ1NWBgqI/FK+cCAMzMpZ+XlIPZ29+WmBjJ353YmDiYf/C78yHjt9fhp/KYmZkgKysLSR/9PX2YxsqqCtTUBFiwaDqW/rQGY0bNgpFRBZy7eBiamvmPnxlVrIBdDusxfdpPpebf2qoWx4vVO7x27Rqsra2xcOFCNGnSBNeuXUOHDh0QHByM58+fo1u3bkUK2Pb29jA0NJTYNj8J/9I6yJ6OLvSmLkHGwc0QpRY+8prz6BZyvVwgfBmGXM/7SPtjOTRq1IF63cIXwyrNhg8fiMT4QPGmqflli9urqanBy8sXdivWwdv7KfYfOIb9B45j6uTRBdJqaGjgxF8OEAgEmDlr6ddWoUyp2NAKdSZ1h8u8PYouCilAs/5tsf7pIfGmrqkul/MI3t4k9L3pAecDVxD57Dn+3X0BT5080XZkF7mcUxZU7VkwWZFnHBcJv76TJas49Dl9+nRF505tYbtgVZHSt7Jphnp1a+Pgwb/kUp7SzOWeG3p2GoL/9RyD2073sevARonnnlevX4Y3sfEY0nsc+ncdiRtXbuHA8e0q24l0ueeG3p2GYtDb9tpxYIO4vYICQrBw5gpMmjEGz14+gqvff3jxPBKx0XEQClXt10i5DRnaD5FRPuJNXr9VRaGmpgYtLS0sXvgrnJzuwt3NGxPGz0PNmlbo0KEVAGD7jrU4/fcFPLhf+KNmJU3V4nixrpBff/0VixYtwpo1a3DixAmMGDEC06dPx2+/5S8etnTpUqxbtw7ff//9J4+zdOlS2NraSuzLnNG/mEUvOlFKEkR5eRAYGknsFxgaQZRUcGEqNbNKUDO1hN68NR8kzn+ZnIHjDaQuGSv1GW9R7GsIkxOhblYZec+Ub0XAixdvwNX1fbnfLfxgbm6KqKgY8X5zMxN4P35aIP87r1/H4JlfoMQ+f/9g/G9gL4l97zrcVat+g67dhpaaO29fIis+BcLcPOh8NKqtY2KIjI9GJt/JjE2Ejonk4wg6pgbIjEkEAJjZfAcdEwMMdNsq/l5NQx1NV41Enck9cM5mvmwrQaWK778eeO4dLP6soZV/t1rf1BDJsYni/fqmhoh89vyLz5OWkIy8nFxEBb2U2B8d8go1mhftDQ+kPOQZx42M63x1+WQRh+Li4pGbm1ug02dmZoqotyPmnTu1Q82a1fAm1k8izamT+3Dv3iP80FVyZtaECcPh5e0LT68nKI0S3iQgNzcXJh8tXmZiZozYj0bR3omNiZNYrAkATEwLps9Iz8DzsBd4HvYCXu4+cHa9iGGjBmLXlgNo28EGP3TrgEY12yE1JQ0AYLfoN7Tr2AqDfuyH3VsdZVhL2Smp9vJ2f4L/XC9g6KgB2L0lvy0unLmKC2euwsS0ItLTMyASARNnjMaLcMnfYCrdrl5xgof7Y/Fnrbe/VWZmJhIzc0zNTPDEx69AfgB48/Y6NPtotoTpB8eIiYmDtrY2DA31JUa7P0zz7rfR3//9vxnexMXjzZsEfPN2raT2HVqjZ68fMHvuJAD5j5apq6vjTWIA5s5ejqNHTn9ZQ1CRFWuk++nTpxg3bhwAYOjQoUhJScHgwYPF348cORI+PtJX+f6QtrY2DAwMJDZtdTlOyc7LRV54IDTqffBMhUAAjXpNkBdc8Jkj4esIpCybiNQVU8RbrpcL8vy8kbpiCoRvpD/7JTAygaC8AYRJpW9V06JITU1DSEi4eHv2LBCvX0fj+87vX4mhr18eLVs2wcNHHoUe54GLG76rXVNiX+1vayAi4v0zye863LVqVUf3HsMQH5/w8WGUijAnD/E+YbBoV//9ToEAFu3qI84jWGqeWI9gWLSvL7HPskMDxL5NH3rmPi79sAyXuy4Xb+mv4/Fs92X8N2K93OpCpUNWWibinkeLt6igl0iKSUDtNu9faaNdXhfVrGshzDPwE0f6tLycPET4hMKshuQihmbVLZAQKf0fn6WBqi3AIivyjOOCtzenv4Ys4lBOTg48PX0k8ggEAnzfuR0ePszPs37DDjRp1gXNWnQTbwCwYOHPmDhZ8mZCuXJ6GDK4b6ke5c7JycWTx35o28FGvE8gEKBtBxt4uj2WmsfT7bFEegBo36lVoenfeTeqBgA6ujoAAKFQ8i9JKBJBTa30PmqXk5MLXynt1aaDDTzdpF//Xm4+BdqrXadWhaZ/58P2+lBcbDzS0zLQZ0B3ZGVm467zQym5qbRKTU1DaOhz8ebvF4SoqBh07NRGnEZfvzyaN7eGm6v0gbicnBx4e/lK5BEIBOjYqbU4j7fXE2RnZ0ukqfVtdVStWll8g/Ld79q3td+/ptbIyBDGxkZ48fbf3l1/GIx2bfqKt7VrtiA5OQXt2vTFpSI+YiNrqhbHiz0X4l1QVVNTg46ODgwN34/s6evrIylJ+qieomVfOw3dyYuRFxaIvFB/aHUfBIG2DrLv5j8rqztlMYQJccg6dQDIyYEwMlwiv+jtquTi/do60BkwBjnudyFMioeaWSXoDpsCYcwr5D5R/DL8srJt+34sWzoHQcGhCA9/gV9+XoRXr6Jx/vz7Z4xvXDuJc+evYtfuQwCArVv34e6d81iyeDZOnb6IFi2sMWnSSEyb8ROA/A733yf3ool1Q/QfOBbq6uri51Li4xORk1N6X1P0KX57r6LNlqmIfxyGOK8Q1J3cAxp62gg5cRsA0GbrVKRHJcDb/m8AgP/+6+h2ZjnqTu2JSCdvWPVvjYqNauDhovy74dkJqchOkBz9F+bmITMmEckhhaymXwalp2cg4uUr8efIV9HwDwyBoYE+LD+xtkBZdNvxKrrNHojY8Ci8eRGDXguGIik6AU9uvP/NmXnMDj7X3XD3z/y/US09bYl3eRtXMUPletWQnpiKhFf5Nwj/23sRY7fPRYirH4JcnqJuR2vU/6EZdvz4a8lWsBiU5Rmu0kjZ4viXxKE/tu7DwQN/wMPTB25uXpgzezLKldPFocMnAUC8IvnHIl5EIjz8hcS+oUP6QUNDHceO/yO/SsrA/l1/YtPONfDxfobHnk8wYeoo6Onp4tTxcwCAzbt+Q9TraKxfvQ0AcHDPMZy86IjJM8bgv5t30HdgTzS0ro8l8/P/7nX1dDHLdjL+veaMmKhYGBlXwNiJP8Lc0gyXz+f/I93T7TGSEpOxeedv2LrBAZmZWRg+ehCqVK2M/27cUUg7FNX+XUewaedq+Hg/xWNPX3F7nX7bXpt2rUHU6xhs+KC9Tlw8gEni9uqBhtb1sWx+/uu+dPV0MdN2Ev695ozYqDgYGVfA6Ik/wsLSDFfO3xSfd8ykH+Hh6o30tAy069QKS3+ej/WrtyElufQ+A/+1VCWO7955EIt+momQkHA8f/4Cy+1sEfU6WqJTe+HSEVy8eAP79hwBAOzc4YjdezbAy/MJPDweY8bM8Sinp4ejR/NHnpOTU3Hkz1P4zX45EhKSkJKcivUbV+HRQ0+4u3kDAEKCw3Hp4k2sW78Cc2cvR0pKKlb9vBCBgSG4cyf/Zk5gQIhEWZs0aQihUAS/Z19+0/5rqVocL1an28rKCkFBQahZM38U08XFBVWrVhV/HxERAUtLy8KyK1SOqzMEBobQ+d84CAyNkBcRgrSNSyBKzh9hVatoBhTneRqhEGpVakCvXTcI9MpDlPAGuU/dkXnmEJCrnJ1GaTZs3IX/t3fn4TFd/x/A34lICNlXBLHVUktI0KitTUpQpVVbU0vsS1QEXwmKX6loi1JSoXaS0mqpWqJpiCghOxJJkFjDZBGyMpLM/P5IO4xMSJjJzM28X33u83TOnHvv555nxidnzrnn1qtniIAfv4WpqTHOno3CoMGfQywWy+o0b94Uls/d3xUdcxGfDp+EFSt8sHiRF27cvAPvuUvx888HAQCNGtnio8Flj3qJjQ6RO5+L66c4HR5RDVemfLcOX4CBhTE6zh+GulYmeJh4Cyfdv5UtllavkSWkz33GsqOv4Z+ZP8JhwXA4+IxA/g0RTk/4HrkpnGL2vITka5gwa4Hs9bcbtgAAhgxwxdeLyz/mpyYLDTgM/boGGOk3GXWNDZEWlYKAcatQ8tzztC2a2qCeuZHsdZOOLTBr3xLZ64+/HAsAuHDgNILmlT3n89KJKPyyaCs+mDEEnywbj8y0e9g+fS3SolOq6cqouggxj79OHvr118OwsjTHsiXzYGtrhYsXEzHow8/LLVhUGRM8RuPgoePIzdXsp2scOXQCFpZm8PaZAStrS1xJSMHYEdORnVV2G13DRrZyI9IxURfxxRQfzFs0C/MXf4GbabcxZcxsXP13iqqktBQtW9nj01FrYGZuhkcPH+FiXCKGfzge1/79A/5hziOMHTEd8xfNws+HtkKvth6uJadi8uezkZSovj/mK+Poc+1laW2JpIQUjB8xo8L2io26CK8pvpi7yBPzFs/CzbTbmDrGS9ZepaWlaNGqGYaN+ghm5qZ49PARLsUlYsSHHrL2AoBOXdrDa8F0GNYzRNq1G1g0dwUO/nKkei++mmlLHl/3/RYY1jPE+g1fw8TEGOcjovHJxx4Qi5/K6tg3awKL555z//tvR2FhaY6Fi71gY1M2Ff2Tjz2Q9dwif74LVkAikWDPXn/oG+jjZOgZeHstkTv3tCnz4LdqEX49sBUSiQRnz0Zi2NAJKCkpUf2FU6XoSKuw3GhAQAAaN26MQYMGKXx/4cKFyMzMxNatW6scSO44lyrvo80sfk5WdwiCstPyPXWHICgjL2nuCKcmmue0UN0hCMr6m2/+nOM59qNeXamSvldCPEKhyjyup9/oTcPTKo2MLF5diWR08ea3L2iTqykH1R2CoFjaf6DuEAQltyD11ZVeQdvyeJVGuqdNm/bS91euXPlGwRAREVWGUO7h0jTM40REpAm0LY9r7ioXRERERERERAKnvofKERERvSapli3AQkREVJNoWx5np5uIiARH26alERER1STalsc5vZyIiIiIiIhIRTjSTUREgqNtz/ckIiKqSbQtj7PTTUREgqNdqZqIiKhm0bY8zunlREREKpCTkwN3d3cYGxvD1NQUEydOREFBwUvrz5o1C61bt0bdunXRpEkTfPHFF8jNza3GqImIiEjZONJNRESCI4Rpae7u7rh//z5CQkJQXFwMDw8PTJkyBUFBQQrr37t3D/fu3cPq1avRrl073Lp1C9OmTcO9e/dw4MCBao6eiIhIdYSQx5WJnW4iIhIcTV/1NCkpCcHBwYiKioKTkxMAYMOGDRg4cCBWr16Nhg0bltunffv2+O2332SvW7Roga+//hqff/45SkpKoKfHlE1ERDWDpudxZeP0ciIi0mpisRh5eXlym1gsfqNjRkREwNTUVNbhBgBXV1fo6uriwoULlT5Obm4ujI2N2eEmIiISMHa6iYhIcKRK/M/Pzw8mJiZym5+f3xvFJxKJYG1tLVemp6cHc3NziESiSh0jOzsby5cvx5QpU94oFiIiIk2jzDwuBOx0ExGR4EiUuPn6+iI3N1du8/X1VXheHx8f6OjovHRLTk5+4+vLy8vDoEGD0K5dOyxbtuyNj0dERKRJlJnHhYDz1YiISKsZGBjAwMCgUnXnzp2L8ePHv7RO8+bNYWtri8zMTLnykpIS5OTkwNbW9qX75+fnw83NDUZGRjh48CBq165dqdiIiIhIM7HTTUREgqOu6WRWVlawsrJ6ZT1nZ2c8evQIMTExcHR0BACcPHkSEokE3bt3r3C/vLw89O/fHwYGBjh8+DDq1KmjtNiJiIg0hVCmhSsLp5cTEZHgaPq0tLZt28LNzQ2TJ09GZGQkzp49C09PT4waNUq2cnl6ejratGmDyMhIAGUd7n79+qGwsBDbtm1DXl4eRCIRRCIRSktLVRQpERFR9VN3Hvf394e9vT3q1KmD7t27y3KxIj/99BN69eoFMzMzmJmZwdXV9aX1FWGnm4iISAUCAwPRpk0buLi4YODAgejZsye2bNkie7+4uBgpKSkoKioCAMTGxuLChQu4fPkyWrZsiQYNGsi2O3fuqOsyiIiIapT9+/fD29sbS5cuRWxsLDp16oT+/fuXuy3sP2FhYRg9ejROnTqFiIgING7cGP369UN6enqlz8np5UREJDgSqeZPSzM3N0dQUFCF79vb20P63HX07dtX7jUREVFNpc48vnbtWkyePBkeHh4AgICAABw9ehTbt2+Hj49PufqBgYFyr7du3YrffvsNoaGhGDt2bKXOyU43EREJDrumREREwqXMPC4WiyEWi+XKKlok9enTp4iJiZF7Somuri5cXV0RERFRqfMVFRWhuLgY5ubmlY6R08uJiIiIiIhIkPz8/GBiYiK3+fn5KaybnZ2N0tJS2NjYyJXb2NhAJBJV6nwLFixAw4YN4erqWukYOdJNRESCI+FYNxERkWApM4/7+vrC29tbrqyyjwKtqlWrVmHfvn0ICwur0hNG2OkmIiLB0bZHjRAREdUkyszjFU0lV8TS0hK1atVCRkaGXHlGRgZsbW1fuu/q1auxatUq/P333+jYsWOVYuT0ciIiIiIiIqrx9PX14ejoiNDQUFmZRCJBaGgonJ2dK9zv22+/xfLlyxEcHAwnJ6cqn5cj3UREJDiqer42ERERqZ4687i3tzfGjRsHJycndOvWDevWrUNhYaFsNfOxY8eiUaNGsvvCv/nmGyxZsgRBQUGwt7eX3ftdv3591K9fv1LnZKebiIgEh/d0ExERCZc68/jIkSORlZWFJUuWQCQSwcHBAcHBwbLF1W7fvg1d3WcTwjdt2oSnT5/i008/lTvO0qVLsWzZskqdk51uIiIiIiIi0hqenp7w9PRU+F5YWJjc65s3b77x+djpJiIiweFCakRERMKlbXmcnW4iIhIc3tNNREQkXNqWx7l6OREREREREZGKcKSbiIgERyrVrmlpRERENYm25XF2uomISHC4ejkREZFwaVse5/RyIiIiIiIiIhXRmJHuiyfM1R2CoOyx7KvuEATFR3xJ3SEISpTTQnWHICiro1eqOwSto20LsAiBWd366g5BUHSho+4QBOXBk3x1hyAolvYfqDsEQcm+GaLuELSOtuVxjel0ExERVZa2PWqEiIioJtG2PM7p5UREREREREQqwpFuIiISHG1bgIWIiKgm0bY8zk43EREJjrY9aoSIiKgm0bY8zunlRERERERERCrCkW4iIhIcbVv1lIiIqCbRtjzOTjcREQmOtq16SkREVJNoWx7n9HIiIiIiIiIiFeFINxERCY62rXpKRERUk2hbHmenm4iIBEfbVj0lIiKqSbQtj3N6OREREREREZGKcKSbiIgER9umpREREdUk2pbH2ekmIiLB0bZVT4mIiGoSbcvjnF5OREREREREpCIc6SYiIsGRaNkCLERERDWJtuVxdrqJiEhwtCtVExER1Szalsc5vZyIiIiIiIhIRTjSTUREgqNtq54SERHVJNqWx9npJiIiwdG2ZE1ERFSTaFse5/RyIiIiIiIiIhXhSDcREQmOVMtWPSUiIqpJtC2Pc6SbiIgERwKp0jZVycnJgbu7O4yNjWFqaoqJEyeioKCgUvtKpVIMGDAAOjo6OHTokMpiJCIiUgch5HFlYqebiIhIBdzd3ZGYmIiQkBAcOXIE4eHhmDJlSqX2XbduHXR0dFQcIREREVUHTi8nIiLBkWr4L9tJSUkIDg5GVFQUnJycAAAbNmzAwIEDsXr1ajRs2LDCfePj47FmzRpER0ejQYMG1RUyERFRtdH0PK5sHOkmIiLBkUqlStvEYjHy8vLkNrFY/EbxRUREwNTUVNbhBgBXV1fo6uriwoULFe5XVFSEzz77DP7+/rC1tX2jGIiIiDSVMvO4ELDTTUREWs3Pzw8mJiZym5+f3xsdUyQSwdraWq5MT08P5ubmEIlEFe43Z84c9OjRA0OGDHmj8xMREZHm4PRyIiISHGUunOLr6wtvb2+5MgMDA4V1fXx88M0337z0eElJSa8Vx+HDh3Hy5EnExcW91v5ERERCIZQF0JSFnW4iIhIcZU4nMzAwqLCT/aK5c+di/PjxL63TvHlz2NraIjMzU668pKQEOTk5FU4bP3nyJFJTU2FqaipXPmzYMPTq1QthYWGVipGIiEjTCWVauLKw001ERFRJVlZWsLKyemU9Z2dnPHr0CDExMXB0dARQ1qmWSCTo3r27wn18fHwwadIkubIOHTrg+++/x+DBg988eCIiIlILdrqJiEhwNH1aWtu2beHm5obJkycjICAAxcXF8PT0xKhRo2Qrl6enp8PFxQW7d+9Gt27dYGtrq3AUvEmTJmjWrFl1XwIREZHKaHoeVzYupEZERIIjVeJ/qhIYGIg2bdrAxcUFAwcORM+ePbFlyxbZ+8XFxUhJSUFRUZHKYiAiItJEQsjjysSRbiIiIhUwNzdHUFBQhe/b29u/8p42bbvnjYiIqCbSqpHuBh790S3KHz1vBsLh2EoYdW5ZYV3D1nZou3UuukX5o7foVzSaPLBcnabzhqO36Fe5zenMOhVegWq1Gv8BBl9YhxFpO/DBkf+DuUPzl9Zv/GE3DAr/DiPSdmBA6Co0eL9ThXWdVk3A6HuBaD3JTVZm7dwWo+8FKtzMO7383JrM22cGohJDkXI3EoG/b4F98yaV3nf67Am49eASlnz9P7nyJvZ22Lz7e8SmhCHh5jn4b/sOllbmyg5dLQbMGY6vIjfhu+TdmLF3EazsX/5s4hbd2mDy1vn46sKPWH9zHzr0c1JYz6ZFQ0z6aR5WXdqOb6/sxNw/voZZQwtVXIJGiY6/jJn/W4r3PnJH+3cHIDT8nLpDUgmJVKq0jTTHhEmfIeZSKO5kXEJw6C/o3KXDS+t/NNQN56KO407GJZw+dxiuH/QuV2fBwi+QkHIGt0UXceCPHWjevKnsvR49uyErN0Xh5vDvuef7eCp8/+Y9zVtlfszEkTgTdwzJ6ZE4+NdedOrS/qX1B370Af4+fwjJ6ZE4fuYA+rr2rLDuitWLcePBRXhMdZcr/2nvevxzMRjJ6ZG4kPg31m76Gta2r173QJMsWuyFq6nnkZF9BX8c2YMWLexfuc/kKWNw+Uo4Mh8k4WTY73B07Cj3/niPUTh6PAh3719EXmEaTEyMyh1j3vwZCAn9FaKsRNxOj1fS1SjXwsVeSLkeAVFWIv74czeaV6JtJk35HJcSTyMj+wpCT/2GLi+0jYGBPlavXYYbt6KRLrqEPYH+sLIun58/cx+Gs+ePIiP7Cq7fiMTqtcsUnq9586a4e/8ibt3VvO/k69KGXK5teVxrOt1WQ3qgxbJxuLXmV8T2W4DCxFto//Mi1LY0Vlhft64BntzOxI0VgRBnPKzwuIXJtxHRYbJsix/ypaouQaWafPQOOi91R8La3xHcfzEeXbmN94J8YGChuH0snVqhx4+eSP05DMH9FuFucDR6bfeGSWu7cnXt3Jxg6dgSRfdz5Mqzo6/iYKcZctv1wFMouJWJnItpKrlOVZv2hQfGT/kMC+ctx5B+7igqeow9vwbAwED/lft27Pw23McNx5WEFLnyuoZ1sffAZkAqxeihkzFswDjU1q+NbUEboKOjo6pLqRYu0z5Cbw83/LJoK74fuhhPH4sxbbcv9AxqV7iPvmEdpCfdwoElOyqsY9HEBrMP/B8yU+9hw+iv8I3bApzY8DuKxcWquAyN8vjxE7Ru2RyL5s5QdygqpW3T0rTB0E8G4KuVvlj9jT9cen+MxIRk/HJwGywtFf/A2LVbZ2zetgaBew7g/V5DcfxoKHYF+aNN21ayOrO8JmPy1DGYN2cZ3FxGoKjwMfYf3Cb7NznqQhzebvWu3LZn1y+4efMO4mMvAwB+3LC9XJ3kpGv481Cw6hulCgYN7Y9Fy+dh/Xeb8eH7o5CUkIJdv26CRQXt16VrJ6z/aRV+2XsQg94biZBjp7B5zzq81ab8gES/Qe+js1MHiO5nlnsv4p8oeE6cD5fuQzB9/Fw0sbfDjztWK/36VMXLeyqmTh8Pry8W4/2+n6CosAi//7HzpXn7k2GDsHLVQqzy+wG93h2My5eT8Psfu2Bp9azjaGhYF3//HY41qzdVeBx9fX0cOngc27YGKvWalMVrzhRMnTYOc2Z/CZe+n6CwsAgHD+14ddv4LcQ3fj+gd8+PkJCQjIOHdsq1jd83i+E2wAXjxs7CILfPYGtrjb2B8u0003MCvlzqje/XBOCdrm4Y8uEYhP59ptz59PT0sG3HOkSci1behWsAbcjl2pbHldLpFsL0t0ZTP8T9wFBk7AtD0dW7uPa/LZA8fgrbUe8rrF8Qn4obX+1B1h/nIH1a8R/q0hIJirMeybaSnHxVXYJKtZ4yAKlBp3BjfzjyrqUjasF2lDwWo/noPgrrvzXJDfdPXULypqPIu34Pl787gIeXb6KVRz+5enVtzeC4YhzOzfSHpKRU7j1JcSmeZOXKNvHDAtj174K0/adVdp2qNnHq59i45ieEHA9D8pVr8J6+CNa2Vug3UPHn7D+G9epifYAfFsxZhtxHeXLvOXVzgF2Thpjr+SVSkq4hJeka5s5YjI4Ob6NH726qvByV6zNhAP7acBAJITG4l3wbe739YWJjVuHoNQAkhcXj2JpfcOlEVIV1Ppw/EldOxePwqiCkJ97Eg9sZSPg7BgUP8ircp6bo5dwVX0wZB9c+76o7FBIQTcjj02Z6YO+uX/Bz4O+4mpKKeV5L8bjoCT4bM0xh/SnTx+Lk32fg/8M2XLuahlVfr8eli1cwccrnsjpTp4/F2tWbEHwsFFcSUzBz2v9ga2uNAR+6Aii7rz4zM1u25eQ8gttAF/y893fZMQoLi+TqWFlboE3bVgjcc0C1DVJFk2aMwf49v+NA0B+4npKGRXNX4PHjJxjuPlRhfY+p7jgdeg5bNu5C6tUbWOvnj8RLSRg7aZRcPZsG1li2ygdeUxeipLj830PbA/YiPvoy0u/eR2zURQSs347OTh2hpyeMOxhnzPTAd99uxLGjfyMxIRlTJ89DgwY2+HBwvwr38Zw1Ebt27EfgngNISb4Ory8W4/Hjxxgzdriszo/+O/D9mgBERVY8+rry63Xw37gdiYkpFdZRp+kzPbD6W/+ytklMwbQp82D7iraZ6TkBu3buR+De32RtU/T4McaM+RQAYGxcH2PGDsci368RfjoC8fEJmDF9Ad5xdoRTVwcAgKmpMRYv8ca0KfNx4Nc/cePGbSQmpuD4sdBy5/tyiTeuXk3Fwd+PqaQN1IW5vOZRSqfbwMAASUlJyjiUSujU1oNRx+Z4FH7pWaFUikdnLsHI6a03Onbd5rboHr8ZXS9sRBv/L2DQyPINo61+urVrwbxjM4jOJDwrlEqRcSYBlo6tFO5j6dgSGc/XB3D/9CVYOj73C7mODpx/mI6kTUeQdzX9lXE06tcF+mZGSNsf/lrXoW6NmzaCta0V/jl9XlaWn1+A+JjL6NK14qn3ALD820U4GXIGZ09fKPeevoE+pFIpnoqfysrEYjEkEgm6du+ivAuoZhaNrWFibYarZy/Lyp7kP8at+Oto1uX1v5c6Ojpo915nZN64j2m7fbEiejPmHFrx0o48CY+2TUtTNXXn8dq1a6OTw9s4HfZsCqVUKkV42Dk4de2scB+nrg4ID4uQKzsV+o/sD/em9nawsbVG+HPHzM8rQGz0RXSt4JhuA9+Hubkpfg78rcJYPx87HNev3cD5iJjKXp7K1a6th/ad2srlH6lUirOnz6NL144K9+nctSPOPlcfAMJPnpOrr6Ojg7WbvsaWDTtxLSX1lXGYmBpjyKeDEBN5ESUlJa95NdXH3r4xbG2tEXbqrKwsLy8f0VHx6NZd8Wekdu3acOjcHqee20cqlSLs1Fl066Z4HyFS3DYFiI6OR9cKrvO/tgk7Jf89Djt1TraPQ+cO0NfXlzvutatpuH07XdZ+773fE7q6umjQwAaRMSdwJeUf7Nz9Axo1aiB3vt59nDH04wGY571MSVdN1Unb8niVfob09vZWWF5aWopVq1bBwqJs6sjatWtfehyxWAyxWCxX9lRaCn2dWlUJp9JqmxtBR68Wnmblyp8zKxcmLRu99nHzYq8hZbY/Hl+/B30bMzSZOxyd/vgKMX28UVr45E3DrjYG5kbQ1auFJy+0z5PsPBi1bKhwnzpWpniS/UL9rFzUtTaVvW43czAkpRJc3XaiUnG0GN0XorBLePzCNHShsLYu+8ElO+uBXHl21gOF9yr9Z/DHbmjfsS0+ch2t8P246EsoKnoMn6Vz8O2KH6CjowOfJbOhp6cHaxvh/cjzHyMrUwBA/gufu/ysXNl7r6O+pTHq1K8L1+kf4diaX/DnqiC07dMJEwK8sXH0cqRe0NwfCKnyhDKdTNOoMo9LpRLo6Lzeb/nmFmbQ09NDVqb8v5+ZWQ/Q8i3Fa3xY21giMzNbriwr64Hs30Vr67L7il885vN1XuQ+5lOcCv0H9+9lKHzfwEAfw0YMxg/f//Tqi6pGZv+2X/YL15qd+QAtWil+3JyVtWUF+epZ20yb7YHSklLs3FLxgoAAsGCpF8ZOHAXDenURG3URE0fPes0rqV7WNmWfkRc/R5mZ2bLPz4ssZJ/V8vu89VYL1QSqBhW1TVZmNmxsXt42ivZ569/vsbW1JcRiMXJz88vV+e+49vaNoaurg7nzp8Nn/nLk5uXjyyXeOPTnLvToPgjFxcUwMzfFjwHfYsokb+TnFyjlmql6aVser1J2XLduHU6dOoW4uDi5TSqVIikpCXFxcYiPj3/lcfz8/GBiYiK3BRYmv+41qM3Dk/HI/vM8CpNu42HYRSS4r4SecT1YfdRD3aGpnVkHe7w1qT8ueAVUqn7dBuaw7dsRqT+HqTYwJRr66UBcuXVetunVrvpUugYNbbB05QLMnuoD8XMj2c/LefAQMzzmwbV/HyTdPo+EG2dhbGKEy/FXBPPrHgA4DnkX3ybulG21aqvmR7b//uhPCIlB2LZjSL9yC39vOozE0Fi86+6qknMSCYUq83iRWJg/mP6nQUMbvOfS86XTxgd++AHq16+H/UEHqzEy9WjfqS08prhjnuer16rZsmEnPnxvJMYMm4rSUgnW/LiiGiKsuhEjh+BexmXZVvs18nZNNXzER0gXXZJt6mwbXV1d6OvrY8G8rxAaegbRUfGY4OGFFi3s0bv3OwCADRtX4sAvh3HubMW3mhFpkip9o1auXIktW7ZgzZo1eP/9Z/eo1q5dGzt37kS7du0qdRxfX99yv7ZHthpflVCqpDgnH9KSUuhbmciV61uZ4GnmI6WdpzSvCI/T7qFOs5evvqxpxDn5kJSUos4L7VPH0rjc6Pd/nmQ9Qh3LF+pbmeDxv+1p3b0N6lga46OoH2Tv6+rVgsNSd7w12Q1/dveS27f5yN54+jAf6X/FvvkFVZOQ4DDExTybGq2vX7awiKWVBTIznv3Ka2llUW5xtP90cGgHK2sLHD21X1amp6eH7j0cMW7SKLRq4ASJRIIzYRHo7TQIZuamKC0pRV5ePqKunMSdg3dVdHXKl/B3DG7FX5e91tMvWyzNyMoEeVmPZOVGViZIv3Lrtc9T+DAPpcUlEF2Tb5uM1Hto7tT6tY9LmkVIPzhpElXm8eZ2jq8dV86DhygpKSk3K8j6hX9Pn5eZkS2bYfQfq+fqZ2ZmlZVZWyAjI0uuTsLl8j/0j3YfhpycRwg+drLCOD8fNxx/BYch64URYnV7+G/7Wb7QfpbWFuVGZP+TlZktt7gVUJav/qvf9Z0usLAyx9mLzxaM09PTw6LlczFhmjt6dX72VJeHOY/wMOcRbqTewvWraYi4HILOTh0RF30JmuTY0b8RHRUve63/74Jg1taWyBA9+4xYW1vi8uUrCo/xQPZZlf/sWVtbyn3OhOb4sVDERF+UvZZrm+e/P9aWuHxJ8Yyx/9qm3PfyuWNkZmbDwMAAJiZGcqPdz9cRicoW7EtOfvY3w4PsHDx48BB2jctmYPbq7YwBA10wa/YkAGW3QtSqVQsPHqVg9qxF2Kthay5QedqWx6s00u3j44P9+/dj+vTpmDdvHooVLKhRGQYGBjA2NpbbVDW1HACkxSXIv5QG017PPXpERwemPTsgP/qq0s6ja1gHdZra4ulLVjvXRJLiUuRcugHbnm8/K9TRgU3P9siOuaZwn+yY67Dp9bZcmW3v9siOKfsH8sZv/+C4iy+CP1go24ru5yB50xGEffZNueM1H9kHNw78A+kLi61pssKCIty6cUe2XUtJRaYoC+/27i6rU9+oHhwcOyA26qLCY5wNv4AP3v0EA/qMkG0X4xJw6MBRDOgzAhKJRK7+w5xHyMvLR49e3WBpZY6Q4DBVXqJSiQufIPtWhmwTXbuL3MyHeKvHs0faGNSvi6YOLXEj9vW/l6XFpbh9KQ3WzeVvjbBuZouH6Yr/+CTh0bZVT5VFlXn8daeWA2ULml2MT0TvPs6yMh0dHfTq44zoKMULUUVHxaNXn3fkyvq810PWqbp18y4yRJno9dwx6xvVQxenTohScMzRn3+CX/YdqvBe5CZN7dCzV3eNW0ANAIqLS5BwMUku/+jo6KBH7+6IjVLc8Y2LuiRXHwB69n1HVv/gL0cwoNdwDOozUraJ7mdiy8ZdGDd8eoWx6P77OdCvxFM7qltBQSHS0m7JtuSkaxCJMtGn77MZikZG9eHU1QGRFxR/7oqLixEfl4C+z+2jo6ODPn17IPIli6Zpukq3jZNDhYvD/dc2fcq1jbNsn/i4y3j69KlcnZatmqFJk0ay9jt/vmy9hFbP3VpiZmYCCwsz3LldtkbQBy6fomePwbJt5Yp1yMvLR88eg3Hkz7+U1CqkStqWx6s8d6Rr166IiYnBzJkz4eTkhMDAQEE8tih98xG0Xj8TBRdTkRd3HXaTB0HX0ACifacAAK03eEJ8Pwc3V5bdt6RTWw+Gb9nJ/l+/gQXqvW2P0sIneHJTBABotnQMcv6KwZO7WTCwMUPT+SMhlUiQdeis4iA0WMqW43hn3VTkXLyBB3GpaD3ZDXqGBrixr2wl8XfWT8Nj0UNc9Csbkb26NRguvy1Gm6kDkR4ah6ZDnGHesTmi5m8DADx9WICnD+XvsZGUlOJJZi7yU+/Lldv0fBv1m1ojNehUNVypam3bvBez5k7BjbTbuHMrHXMXzkSmKAt/PTdyEnTwJ5w4GopdW/ehsKAIV5/7JRcAigof42FOrlz58M+G4PrVG3iQnQPHrp2wdOUCbNu0B2nXb1bXpanE6e3H0W/Wx8i6KcKDO5kYOHcEcjMe4vJfzx79MTNwMS6diMKZ3WVrA+gbGsg9y9uisTUatWuKokcFeHivbPTp5JY/MW7DbKRGJuFaRCLa9nHA2y6O2Djqq+q9QDUoKnqM23fvyV6n38tA8tVUmBgboYGttRojI02hqXk8wH8HNmz6BvFxCYiNuYSpM8bBsF5d2UriGwO+geh+Blb8X9n95ls27cYfx/ZguqcHQk6cxsfDBsKhc3vMnb1EdszNm3bDe/50pKXewu1bd+GzaDZEokwcP/K33Ll79XkH9vaNsXdXxR3qzz4fhgxRFkJDNHOxz60/7sEa/+W4FJ+Ii7EJmDD1cxga1sWBoEMAgDU/roDofia+W142A23H5kDs+3MbJs0Yi5Mh4Rj8sRs6OLyNhXOWAwAePczFo4fys91KiouRlZGNtOtls5EcHDugY+e3EXU+DnmP8tCkWWN4+87AzbTbiKvgx2ZN86P/Dsz/nydSr9/ErVt3sfjLObh/P0Ou43b46F4cOXwCWzbvAQBs3LANAVtWIy7uMqKjL2LGTA8YGhrKja5a21jCxsZK9lz4dm+3QUFBAe7euYeH/7arnV1DmJmboLFdQ9SqpYsOHdsCANJSb6GwsKi6mqBCm/x3YP7/ZiI19SZu3bqDRYu9IXqxbY7swZ9//oWf/m0b/43bsWnzd4iLvYyYmLK2qWdoiL17y9omL68Ae3b/iq/9FuHhw1zk5xXg29VLceF8rOwHs9TrN3HkzxCs+vZLzJ61CPn5BVi6bB6uXk1FeHjZ4n9XX1jYr3PnDpBIpEi6orzBNHViLq95XuuGjfr162PXrl3Yt28fXF1dUVqq+aOTWX+cQ20LYzT930joW5miIPEmEkZ/jeJ/FwMzaGQJqeTZLyX6tmZwDP1O9rrxjI/QeMZHeHQuEZc+WVa2TwMLtNk0G7XNjFD8IA+5kcmIH7gQxQJ8LNHtw+dhYGGEDvM/RR0rEzxMvIUw92/wJLvsWgwbWci1T3b0NZyb6Y+OC4ajo88I5N8Q4cyEtchNqfp05+aj+yIr6iryr99/dWUNF/DDDhga1oXf2iUwNjFC9IU4jB0xXe5+7Sb2djAzN6vScZu3tMf/Fs+GqZkJ7t5Ox8a1P2Hrpj3KDr/ahQYchn5dA4z0m4y6xoZIi0pBwLhVKHnuedoWTW1Qz9xI9rpJxxaYte/ZH9UffzkWAHDhwGkEzSt7zuelE1H4ZdFWfDBjCD5ZNh6ZafewffpapEVr5mNZlCkh+RomzFoge/3thi0AgCEDXPH14rnqCkvptG1amrJpYh4/9PtxWFiYY8HCL2BtY4WEy0kY+ckk2VRuO7sGkD43+ycqMg7TJs2D72IvLFrijbTUmxj32UwkJz2bobVh3U8wNKyLteu/grGJMS6cj8HITyaVW0PDfcyniDwfi+vX0hTGpqOjg1GffYx9Qb+Xm4GkKY4eOgELSzN4+8yApbUlkhJSMH7EDGRnld1r37CRrVzssVEX4TXFF3MXeWLe4lm4mXYbU8d4lfsh+GUeFz1G/w9d4LVgOgwN6yIzIxunT57FxjX/w9OXPG5Vk6xbuxn1DOvih40rYWJijIiIaAwb6iH3GWnWrAksLJ497/z3347C0tIcCxfPgY1N2XTrYUPHy03lnzjRHb6LZstenwgpG7SYNnU+gvaWrY6/6EsvuH/+qazO2YijAICBbqPxz5nyTzOpbuu+3wLDeoZYv+FrmJgY43xEND75WL5t7Js1gYXFs79pfv/tKCwszbFwsZesbT752ENuQUPfBSsgkUiwZ68/9A30cTL0DLy9lside9qUefBbtQi/HtgKiUSCs2cjMWzoBEGsiq8M2pDLtS2P60jf8OGcd+/eRUxMDFxdXVGvXr3XPk647fBXVyKZdF3Nm7alyXzEl19diWSGGlXuvk4qszp6pbpDEJTalopXo66K5pbKezRPWrZwp4Qqg7LyuJUJ10yoivp6ddQdgqA8eJL/6kokowmzV4Qk+2aIukMQFObxqnvjpQnt7OxgZ2enjFiIiIiomjGPExERqRaflUBERIIjlWrmFF8iIiJ6NW3L4+x0ExGR4EgEslopERERladtefz1n+9BRERERERERC/FkW4iIhKcN1wDlIiIiNRI2/I4O91ERCQ42jYtjYiIqCbRtjzO6eVEREREREREKsKRbiIiEhxtm5ZGRERUk2hbHmenm4iIBEeiZcmaiIioJtG2PM7p5UREREREREQqwpFuIiISHKmWLcBCRERUk2hbHmenm4iIBEfb7gUjIiKqSbQtj3N6OREREREREWkNf39/2Nvbo06dOujevTsiIyNfWv/XX39FmzZtUKdOHXTo0AHHjh2r0vnY6SYiIsGRQKq0jYiIiKqXOvP4/v374e3tjaVLlyI2NhadOnVC//79kZmZqbD+uXPnMHr0aEycOBFxcXEYOnQohg4dioSEhEqfk51uIiISHKlUqrSNiIiIqpc68/jatWsxefJkeHh4oF27dggICIChoSG2b9+usP769evh5uaG+fPno23btli+fDm6dOmCjRs3Vvqc7HQTERERERGRIInFYuTl5cltYrFYYd2nT58iJiYGrq6usjJdXV24uroiIiJC4T4RERFy9QGgf//+FdZXhJ1uIiISHIlUqrSNiIiIqpcy87ifnx9MTEzkNj8/P4Xnzc7ORmlpKWxsbOTKbWxsIBKJFO4jEomqVF8Rrl5ORESCw2nhREREwqXMPO7r6wtvb2+5MgMDA6UdXxnY6SYiIiIiIiJBMjAwqHQn29LSErVq1UJGRoZceUZGBmxtbRXuY2trW6X6inB6ORERCQ5XLyciIhIudeVxfX19ODo6IjQ09FksEglCQ0Ph7OyscB9nZ2e5+gAQEhJSYX1FONJNRESCw+nlREREwqXOPO7t7Y1x48bByckJ3bp1w7p161BYWAgPDw8AwNixY9GoUSPZfeGzZ89Gnz59sGbNGgwaNAj79u1DdHQ0tmzZUulzstNNREREREREWmHkyJHIysrCkiVLIBKJ4ODggODgYNliabdv34au7rMJ4T169EBQUBAWL16MhQsXolWrVjh06BDat29f6XOy001ERILDVceJiIiES9153NPTE56engrfCwsLK1c2fPhwDB8+/LXPx043EREJjpT3YhMREQmWtuVxLqRGREREREREpCIc6SYiIsFR97Q0IiIien3alsc50k1ERIIjlUqVtqlKTk4O3N3dYWxsDFNTU0ycOBEFBQWv3C8iIgLvv/8+6tWrB2NjY/Tu3RuPHz9WWZxERETVTQh5XJnY6SYiIlIBd3d3JCYmIiQkBEeOHEF4eDimTJny0n0iIiLg5uaGfv36ITIyElFRUfD09JRbRZWIiIiEhdPLiYhIcDR9AZakpCQEBwcjKioKTk5OAIANGzZg4MCBWL16NRo2bKhwvzlz5uCLL76Aj4+PrKx169bVEjMREVF10fQ8rmz86ZyIiARHmdPSxGIx8vLy5DaxWPxG8UVERMDU1FTW4QYAV1dX6Orq4sKFCwr3yczMxIULF2BtbY0ePXrAxsYGffr0wT///PNGsRAREWkaTi8nIiLSIn5+fjAxMZHb/Pz83uiYIpEI1tbWcmV6enowNzeHSCRSuE9aWhoAYNmyZZg8eTKCg4PRpUsXuLi44Nq1a28UDxEREakPO91ERCQ4yvyF3NfXF7m5uXKbr6+vwvP6+PhAR0fnpVtycvJrXZNEIgEATJ06FR4eHujcuTO+//57tG7dGtu3b3/ttiIiItI02jbSrTH3dPcW/aruEMoRi8Xw8/ODr68vDAwM1B2OxtPk9hqt7gAU0OT20kRsr6qp6e2lzBRrYGBQ6TaaO3cuxo8f/9I6zZs3h62tLTIzM+XKS0pKkJOTA1tbW4X7NWjQAADQrl07ufK2bdvi9u3blYpPnbJyU9QdQjk1/XugbGyvqmF7VQ3bq2pqensJo6usPDpSofw8oAZ5eXkwMTFBbm4ujI2N1R2OxmN7VQ3bq2rYXlVT09tLT7+R0o5V8jRdacf6T1JSEtq1a4fo6Gg4OjoCAP766y+4ubnh7t27ChdSk0qlsLOzw4QJE7B8+XJZeefOnTFgwACsXLlS6XHWdDX9e6BsbK+qYXtVDduramp6e2l6Hlc2jRnpJiIiqixNT7Bt27aFm5sbJk+ejICAABQXF8PT0xOjRo2SdbjT09Ph4uKC3bt3o1u3btDR0cH8+fOxdOlSdOrUCQ4ODti1axeSk5Nx4MABNV8RERGR8mh6Hlc2drqJiIhUIDAwEJ6ennBxcYGuri6GDRuGH374QfZ+cXExUlJSUFRUJCvz8vLCkydPMGfOHOTk5KBTp04ICQlBixYt1HEJREREpATsdBMREamAubk5goKCKnzf3t5e4QIwPj4+cs/pJiIiImHj6uUvYWBggKVLl9bIxQtUge1VNWyvqmF7VQ3bi4jfg6pie1UN26tq2F5Vw/aqWbiQGhEREREREZGKcKSbiIiIiIiISEXY6SYiIiIiIiJSEXa6iYiIiIiIiFSEnW4iIiIiIiIiFWGnm4iIiIiIiEhF2OmugL+/P+zt7VGnTh10794dkZGR6g5JY4WHh2Pw4MFo2LAhdHR0cOjQIXWHpNH8/PzQtWtXGBkZwdraGkOHDkVKSoq6w9JYmzZtQseOHWFsbAxjY2M4Ozvj+PHj6g5LEFatWgUdHR14eXmpOxQitWAurxzm8aphHq8a5vE3w1xeM7DTrcD+/fvh7e2NpUuXIjY2Fp06dUL//v2RmZmp7tA0UmFhITp16gR/f391hyIIp0+fxsyZM3H+/HmEhISguLgY/fr1Q2FhobpD00h2dnZYtWoVYmJiEB0djffffx9DhgxBYmKiukPTaFFRUdi8eTM6duyo7lCI1IK5vPKYx6uGebxqmMdfH3N5zcHndCvQvXt3dO3aFRs3bgQASCQSNG7cGLNmzYKPj4+ao9NsOjo6OHjwIIYOHaruUAQjKysL1tbWOH36NHr37q3ucATB3Nwc3333HSZOnKjuUDRSQUEBunTpgh9//BErVqyAg4MD1q1bp+6wiKoVc/nrYR6vOubxqmMefzXm8pqFI90vePr0KWJiYuDq6ior09XVhaurKyIiItQYGdVUubm5AMoSEL1caWkp9u3bh8LCQjg7O6s7HI01c+ZMDBo0SO7fMSJtwlxO1Yl5vPKYxyuPubxm0VN3AJomOzsbpaWlsLGxkSu3sbFBcnKymqKimkoikcDLywvvvvsu2rdvr+5wNNbly5fh7OyMJ0+eoH79+jh48CDatWun7rA00r59+xAbG4uoqCh1h0KkNszlVF2YxyuHebxqmMtrHna6idRo5syZSEhIwD///KPuUDRa69atER8fj9zcXBw4cADjxo3D6dOnmbBfcOfOHcyePRshISGoU6eOusMhIqrxmMcrh3m88pjLayZ2ul9gaWmJWrVqISMjQ648IyMDtra2aoqKaiJPT08cOXIE4eHhsLOzU3c4Gk1fXx8tW7YEADg6OiIqKgrr16/H5s2b1RyZZomJiUFmZia6dOkiKystLUV4eDg2btwIsViMWrVqqTFCourBXE7VgXm88pjHK4+5vGbiPd0v0NfXh6OjI0JDQ2VlEokEoaGhvPeElEIqlcLT0xMHDx7EyZMn0axZM3WHJDgSiQRisVjdYWgcFxcXXL58GfHx8bLNyckJ7u7uiI+PZ5ImrcFcTqrEPP7mmMcrxlxeM3GkWwFvb2+MGzcOTk5O6NatG9atW4fCwkJ4eHioOzSNVFBQgOvXr8te37hxA/Hx8TA3N0eTJk3UGJlmmjlzJoKCgvDHH3/AyMgIIpEIAGBiYoK6deuqOTrN4+vriwEDBqBJkybIz89HUFAQwsLCcOLECXWHpnGMjIzK3VNYr149WFhY8F5D0jrM5ZXHPF41zONVwzxeNczlNRM73QqMHDkSWVlZWLJkCUQiERwcHBAcHFxuQRYqEx0djffee0/22tvbGwAwbtw47Ny5U01Raa5NmzYBAPr27StXvmPHDowfP776A9JwmZmZGDt2LO7fvw8TExN07NgRJ06cwAcffKDu0IhIgzGXVx7zeNUwj1cN8zgRn9NNREREREREpDK8p5uIiIiIiIhIRdjpJiIiIiIiIlIRdrqJiIiIiIiIVISdbiIiIiIiIiIVYaebiIiIiIiISEXY6SYiIiIiIiJSEXa6iYiIiIiIiFSEnW4iIiIiIiIiFWGnm4iIiIiIiEhF2OkmIiIiIiIiUhF2uomIiIiIiIhU5P8BVqFSa0qrqsAAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Illustrate effect of spurious correlations\n", + "p = 5\n", + "mean = np.zeros(p)\n", + "cov = np.identity(p)\n", + "fig, ax = plt.subplots(1, 2, figsize=(10, 5))\n", + "for i, N in enumerate([10, 1000]):\n", + " X = rng.multivariate_normal(mean, cov, size=N).T\n", + " corr_matrix = np.corrcoef(X)\n", + " sns_heatmap = sns.heatmap(\n", + " corr_matrix,\n", + " annot=True,\n", + " ax=ax[i],\n", + " square=True,\n", + " cbar_kws={\"fraction\": 0.046, \"pad\": 0.04},\n", + " )\n", + "\n", + " # Adjust the colorbar size to match the figure height\n", + " cbar = sns_heatmap.collections[0].colorbar\n", + " loc = plt.FixedLocator(cbar.get_ticks())\n", + " cbar.ax.yaxis.set_major_locator(loc)\n", + " cbar.ax.set_yticklabels(cbar.ax.get_yticklabels(), rotation=0)\n", + "\n", + " ax[i].set_title(f\"p = {p} | N = {N}\")\n", + "fig.tight_layout()" + ] + } + ], + "metadata": { + "kernelspec": { + 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zkt@}uejoe*|ALtj2u|}}aH=q)lTb?zoY?``!#o;?x`#|=1B;l6|jY_wQPPc~Q zHzG^Zy=~A_>XdL5&Bq6Iq~jWTbsLizwGsF5efvio?V|kZm+;1N*%cM1LN3Ha_}&I~ zUFl{#l&NJ@@Axwh(;L!(g|xa>~`7Y{(ie`?Fp@o4xCLCS-Eh*=8h~^)!354AU?Dt;X+1LQB3> zm;A5aW-PLC*=&l_1#`TTpFIh5l{a+<_@tmuC+3!(@w#{KoyJ~|#jtx}GcvfIkGub! pC@CDo%K!i2|CxK>aJCOuG4=k_I&tJMJ`emH_~Xdl{NLTL|1YqX@5cZD literal 0 HcmV?d00001 diff --git a/docs/index.rst b/docs/index.rst index 247af90c4ba..d8036fe4e79 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -27,6 +27,7 @@ To understand the theoretical foundations of ensemble-based methods, head over t getting_started/setup getting_started/configuration/poly_new/guide getting_started/howto/esmda_restart + getting_started/howto/adaptive_localization.ipynb getting_started/howto/plugin_system getting_started/webviz-ert/webviz-ert diff --git a/pyproject.toml b/pyproject.toml index 5dd8110170c..9dce5726949 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -117,6 +117,9 @@ dev = [ "sphinx-copybutton", "sphinxcontrib-plantuml", "sphinxcontrib.datatemplates", + "seaborn", + "nbsphinx", + "jupyter", "testpath", "gstools", ]