diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml index 4dcf374..6d18914 100644 --- a/.github/workflows/tests.yml +++ b/.github/workflows/tests.yml @@ -37,8 +37,7 @@ jobs: python -m pip install --upgrade pip setuptools pip install -r requirements-tests.txt pip install -r requirements-assignment.txt - pip install -r requirements-hebo.txt pip install -e .[arch_sbo,botorch,trieste,tpe,rocket,egor] - name: Test with pytest - run: pytest sb_arch_opt --durations=0 + run: pytest -v sb_arch_opt --durations=10 diff --git a/.github/workflows/tests_basic.yml b/.github/workflows/tests_basic.yml index 17f100e..5a2da98 100644 --- a/.github/workflows/tests_basic.yml +++ b/.github/workflows/tests_basic.yml @@ -49,4 +49,4 @@ jobs: run: echo "${{ steps.license_check_report.outputs.report }}" - name: Test with pytest - run: pytest sb_arch_opt --durations=0 + run: pytest -v sb_arch_opt --durations=10 diff --git a/.github/workflows/tests_slow.yml b/.github/workflows/tests_slow.yml index 6652ca4..0285819 100644 --- a/.github/workflows/tests_slow.yml +++ b/.github/workflows/tests_slow.yml @@ -34,7 +34,6 @@ jobs: python -m pip install --upgrade pip setuptools pip install -r requirements-tests.txt pip install -r requirements-assignment.txt - pip install -r requirements-hebo.txt pip install -r requirements-ota.txt pip install -e .[arch_sbo,botorch,trieste,tpe,rocket,egor] pip install jupyter ipython ipykernel @@ -54,4 +53,4 @@ jobs: run: echo "${{ steps.license_check_report.outputs.report }}" - name: Test with pytest - run: RUN_SLOW_TESTS=1 pytest sb_arch_opt --durations=0 + run: RUN_SLOW_TESTS=1 pytest -v sb_arch_opt --durations=20 diff --git a/README.md b/README.md index ede9731..afe576f 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,5 @@ +![SBArchOpt Logo](https://github.com/jbussemaker/SBArchOpt/blob/main/docs/logo.svg) + # SBArchOpt: Surrogate-Based Architecture Optimization [![Tests](https://github.com/jbussemaker/SBArchOpt/workflows/Tests/badge.svg)](https://github.com/jbussemaker/SBArchOpt/actions/workflows/tests.yml?query=workflow%3ATests) diff --git a/docs/algo/hebo.md b/docs/algo/hebo.md index 3e85a88..2637827 100644 --- a/docs/algo/hebo.md +++ b/docs/algo/hebo.md @@ -12,7 +12,7 @@ Artificial Intelligence Research, 74, pp.1269-1349, DOI: [10.1613/jair.1.13643]( ## Installation ``` -pip install -r requirements-hebo.txt +pip install sb-arch-opt[hebo] ``` ## Usage diff --git a/docs/icon.png b/docs/icon.png new file mode 100644 index 0000000..3d6c428 Binary files /dev/null and b/docs/icon.png differ diff --git a/docs/index.md b/docs/index.md index ef5b15d..2b530c2 100644 --- a/docs/index.md +++ b/docs/index.md @@ -1,3 +1,5 @@ +![SBArchOpt Logo](logo.svg) + # SBArchOpt: Surrogate-Based Architecture Optimization SBArchOpt (es-bee-ARK-opt) provides a set of classes and interfaces for applying Surrogate-Based Optimization (SBO) @@ -25,6 +27,23 @@ The library provides: - Connectors to various external SBO libraries - Analytical and realistic test problems that exhibit one or more of the architecture optimization challenges +## Installation + +First, create a conda environment (skip if you already have one): +``` +conda create --name opt python=3.9 +conda activate opt +``` + +Then install the package: +``` +conda install numpy +pip install sb-arch-opt +``` + +Note: there are optional dependencies for the connected optimization frameworks and test problems. +Refer to their documentation for dedicated installation instructions. + ## Citing If you use SBArchOpt in your work, please cite it: diff --git a/docs/logo.svg b/docs/logo.svg new file mode 100644 index 0000000..778ccec --- /dev/null +++ b/docs/logo.svg @@ -0,0 +1,75 @@ + + + + + + + + + + + + + + + + + + + + + diff --git a/docs/overrides/partials/copyright.html b/docs/overrides/partials/copyright.html new file mode 100644 index 0000000..a1179ce --- /dev/null +++ b/docs/overrides/partials/copyright.html @@ -0,0 +1,8 @@ +
+

logo

+ {% if config.copyright %} +
+ {{ config.copyright }} +
+ {% endif %} +
diff --git a/docs/style.css b/docs/style.css new file mode 100644 index 0000000..5be27f1 --- /dev/null +++ b/docs/style.css @@ -0,0 +1,3 @@ +:root { + --md-primary-fg-color: #330a5e; +} \ No newline at end of file diff --git a/docs/tutorial.ipynb b/docs/tutorial.ipynb index 748b117..c321837 100644 --- a/docs/tutorial.ipynb +++ b/docs/tutorial.ipynb @@ -2,6 +2,12 @@ "cells": [ { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "# SBArchOpt Tutorial\n", "\n", @@ -23,31 +29,43 @@ "4. Implement your own optimization problem\n", "\n", "Note: a \"seed\" argument is used to get reproducible results when randomization is involved. This is useful for tutorials and testing, however should be avoided when using in production (i.e. when solving real problems)!" - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "### Simple Example: Evolutionary Algorithm (NSGA2)\n", "\n", "The code below shows a simple example of solving an architecture optimization problem using NSGA2, a multi-objective evolutionary algorithm.\n", "Continue with the rest of the tutorial for mode background information." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 5, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:14:54.968960400Z", + "start_time": "2023-07-24T08:14:54.642961100Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "data": { - "text/plain": "
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" 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", + "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -71,17 +89,16 @@ "\n", "# Plot results\n", "plot(result_nsga2.opt.get('F'), labels=['NSGA2 (2000 evaluations)'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:14:54.968960400Z", - "start_time": "2023-07-24T08:14:54.642961100Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "### Simple Example: Evolutionary Algorithm (SBO)\n", "\n", @@ -93,14 +110,21 @@ "```\n", "pip install sb-arch-opt[arch_sbo]\n", "```" - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 6, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:21:46.409349800Z", + "start_time": "2023-07-24T08:18:39.189060900Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stderr", @@ -197,8 +221,10 @@ }, { "data": { - "text/plain": "
", - "image/png": 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" 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", + "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -219,21 +245,21 @@ "\n", "# Run the optimization: 100 infill points (60 + 100 = 160 evaluations)\n", "# NOTE: remove \"seed\" argument when using in production!\n", - "result_sbo = minimize(problem, sbo, termination=('n_eval', n_init+100), seed=42)\n", + "n_infill = 100\n", + "result_sbo = minimize(problem, sbo, termination=('n_eval', n_init+n_infill), seed=42)\n", "\n", "# Plot results\n", "plot(result_nsga2.opt.get('F'), result_sbo.opt.get('F'), labels=['NSGA2 (2000 evaluations)', 'SBO (160 evaluations)'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:21:46.409349800Z", - "start_time": "2023-07-24T08:18:39.189060900Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "## The Architecture Problem Class\n", "\n", @@ -248,14 +274,21 @@ "Another characteristic of architecture optimization is that often some options of design variables occur much more often in the complete valid design space than others. For example, one option might deactivate many other design variables and therefore yield a \"smaller\" subproblem. This characteristic is quantified using **rate diversity** and can be determined by analyzing all possible (discrete) design vectors of the problem.\n", "\n", "For more information, refer to [Implementing an Architecture Optimization Problem](#implementing-an-architecture-optimization-problem)." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 7, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:22:04.191429800Z", + "start_time": "2023-07-24T08:22:04.173658200Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stdout", @@ -287,23 +320,28 @@ "# Instantiate the problem class and print some statistics\n", "problem = HierZDT1Small()\n", "problem.print_stats()" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:22:04.191429800Z", - "start_time": "2023-07-24T08:22:04.173658200Z" - } - } + ] }, { "cell_type": "code", "execution_count": 8, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:22:06.664730700Z", + "start_time": "2023-07-24T08:22:06.578732Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "data": { - "text/plain": "
", - "image/png": 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" + "image/png": 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", + "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -315,17 +353,16 @@ "# Plot the Pareto front\n", "# Normally only test problems have access to the \"real\" Pareto front!\n", "plot(problem.pareto_front())" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:22:06.664730700Z", - "start_time": "2023-07-24T08:22:06.578732Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "## Solving an Analytical Problem with NSGA2\n", "\n", @@ -334,19 +371,28 @@ "- A repair operator that uses the architecture problem definition to automatically correct design points\n", "\n", "To get a preconfigured NSGA2 algorithm, use the `get_nsga2` function. It can then be used like a normal pymoo algorithm to run an optimization." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 12, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:22:27.257289300Z", + "start_time": "2023-07-24T08:22:26.907500100Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "data": { - "text/plain": "
", - "image/png": 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" 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", 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" + ] }, "metadata": {}, "output_type": "display_data" @@ -364,52 +410,63 @@ "\n", "# Compare results\n", "plot(problem.pareto_front(), result.opt.get('F'), labels=['Known Pareto front', 'NSGA2'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:22:27.257289300Z", - "start_time": "2023-07-24T08:22:26.907500100Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "### Restart and Intermediate Result Storage\n", "\n", "Restart is very important when running expensive optimization studies, because if any problem happens you do not want to start from scratch (if the problem was not due to any bug in the evaluation code of course). Intermediate results storage can be useful for checking if generated results are correct and realistic while the algorithm is running.\n", "\n", "To enable restart, we can use the `initialize_from_previous_results` folder. Restart also requires intermediate results storage, which can be activated by passing a `results_folder` when instantiating the algorithm." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 13, - "outputs": [], - "source": [ - "import warnings\n", - "warnings.filterwarnings('ignore')" - ], "metadata": { - "collapsed": false, "ExecuteTime": { "end_time": "2023-07-24T08:22:31.941112700Z", "start_time": "2023-07-24T08:22:31.928270700Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false } - } + }, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings('ignore')" + ] }, { "cell_type": "code", "execution_count": 15, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:22:54.090726Z", + "start_time": "2023-07-24T08:22:47.039791900Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "data": { - "text/plain": "
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" 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", + "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -431,27 +488,33 @@ "assert abs(nsga2.evaluator.n_eval - 500) < 10 # 5*100\n", "plot(problem.pareto_front(), result5.opt.get('F'),\n", " labels=['Known Pareto front', 'NSGA2 (5 gen)'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:22:54.090726Z", - "start_time": "2023-07-24T08:22:47.039791900Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "The results folder now contains some files that you can inspect:" - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 16, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:23:03.009852700Z", + "start_time": "2023-07-24T08:23:03.000195500Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stdout", @@ -464,18 +527,21 @@ "source": [ "import os\n", "print(os.listdir(results_folder))" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:23:03.009852700Z", - "start_time": "2023-07-24T08:23:03.000195500Z" - } - } + ] }, { "cell_type": "code", "execution_count": 20, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:23:17.573277300Z", + "start_time": "2023-07-24T08:23:17.362273100Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stderr", @@ -487,8 +553,10 @@ }, { "data": { - "text/plain": "
", - "image/png": 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iaqgFCxbgb3/7m9TdMMv777+PMWPGSN0Nu3LK1TTz589HSUmJ/vXLL79I3SUiIpc0depUyGQyJCcnGxz/6quv9Lu86qxZswa9e/eGn58fgoKC0KdPHyQlJRm0KS0txYIFC9CjRw94e3ujRYsW6N+/P95++21cv3691v03b94MuVyOmTNn1novIyMDY8eOhUqlgq+vLyIiIvDJJ5/UOya1Wo13330Xr7zyiv7Y66+/DplMZvDq2rVrvddyhKeeegrZ2dnYt2+f1F2xG7sHI0qlEoWFhtVOCwsLERAQAG9vb6PneHp6IiAgwOBFREQAtBogfx9w/POq/2rtv6uql5cXUlJSjAYLOuvWrcOLL76I559/Hrm5ucjMzMTcuXNx69YtfZvi4mI88MADWL9+PebMmYNDhw4hOzsbb731FnJycvDpp5/Wuu7atWsxd+5cbN68GRUVFQbvHThwAL169cIXX3yBY8eOYdq0aZgyZQq++eabOsfz4YcfYtCgQfodbXV69OiBgoIC/Wv//v3mfHvszsPDA0888QT++c9/St0V+xENAEB8+eWXdbaZO3euCA8PNzg2ceJEERMTY/Z9SkpKBABRUlJiTTeJiCT322+/iby8PPHbb79Zf5EftwuxtKsQiQG/v5Z2rTpuJ3FxceKRRx4RXbt2FS+//LL++Jdffimqf4SMHTtWTJ06tc5r/f3vfxe+vr7i0qVLRt/XarUGX587d054e3uLGzduiAEDBohPPvmk3v6OGjVKTJs2rc42PXr0ECtXrjQ4lpiYKHr37l3v9au7c+eOeO6550RgYKAIDg4Wc+fOFVOmTBFjx47Vt9FoNGLx4sWibdu2wsvLS/Tq1Ut89tln+vf37NkjAIi0tDTRt29f4e3tLQYOHCh++ukng3vt3btXeHh4iPLycov66Ah1/W6b+/lt8czIrVu3kJubi9zcXADQby988eJFAFWPWKZMmaJv/8wzz+DcuXOYO3cufvrpJ/zrX//Ctm3bMHv27AYHUkRELiNvB7BtClB62fB4aUHV8bwddru1XC7H4sWL8d577+HXX3812kapVOLgwYO4cOGC0fe1Wi22bt2KyZMnIzQ01Gibmo991q9fj9GjRyMwMBCTJ0/G2rVr6+1rSUkJgoODTb5fXFyMvLw89OvXr9Z7P//8M0JDQ9G+fXtMmjRJ/7lmSkpKCj755BOsX78emZmZKC0trVV7KykpCR999BHef/99/Pjjj5g9ezYmT56MvXv3GrR75ZVXsHTpUvz3v/9Fs2bN8NRTTxm8369fP9y9exeHDh2q5zvQSFkaAemiuJqvuLg4IURVFD106NBa50RERAgPDw/Rvn17sX79eovuyZkRImrsGjQzorlbe0bE4BUoxNJuVe1sLC4uTv8v/QceeEA89dRTQojaMyOXL18WDzzwgAAgOnfuLOLi4sTWrVuFRqMRQgihVqsFALFs2TKD60dGRgpfX1/h6+sr/vKXv/w+ZI1GhIWFia+++koIIcSVK1eEh4eHOHfunMm+bt26VXh4eIgTJ06YbJOTkyMAiIsXLxoc37Vrl9i2bZv43//+J1JTU8XAgQPF/fffL0pLS01eS6FQiHfeeUf/9d27d8X999+v/35VVFQIHx8fceDAAYPzpk+fLiZOnCiEMJwZ0dm5c6cAUOt3pXnz5mLDhg0m+yMVW8yMWLy0d9iwYRBCmHzfWHXVYcOGIScnx9JbERERAFw4UHtGxIAASi9VtWv3oN26kZKSghEjRmDOnDm13lOpVMjKysKJEyfwww8/4MCBA4iLi8OHH36I1NRUk9f88ssvUVlZiXnz5hmssNy9ezfKysowatQoAEDLli0xcuRIrFu3DosWLap1nT179mDatGlYs2YNevToYfJ+unvU3Oq+ev2sXr16YcCAAWjTpg22bduG6dOn17pOSUkJCgsLERUVpT8ml8vRt29faLVaAMCZM2dQXl6OkSNHGpxbWVmJPn36GBzr1auX/v9VKhUAoKioCPfff7/+uLe3N8rLy02OrTFzyV17jdJqqv4g3yoE/BRAm0EAi58RkTO4VVh/G0vaWemhhx5CTEwM5s+fj6lTpxptEx4ejvDwcDz77LN45pln8OCDD2Lv3r0YOnQogoKCcOrUKYP2ug9bf39/3LhxQ3987dq1KC4uNljooNVqcezYMSxcuBBubr9nGezduxdjxozB8uXLDdIEjGnZsiUA4Pr162jVyvRmqEFBQejcuTPOnDlT5/Xqokve3blzJ1q3bm3wnqenp8HX7u7u+v/XPa7SBTU6xcXFdfa5MXPKpb0Ol7cDWBEObHwE+GJ61X9XhNv1GSwRkdn8FPW3saRdAyQnJ+Prr79GVlZWvW27d+8OoGobETc3N4wfPx6bNm3C5ct1zfIA165dw/bt27FlyxZ9jmJubi5ycnJw/fp1fPfdd/q2GRkZGD16NFJSUsyqG9KhQwcEBAQgLy+vzna3bt3C2bNn9bMUNQUGBkKhUODIkSP6YxqNBtnZ2Qbj9/T0xMWLF9GxY0eDl6X1s86ePYuKiopaMypNBWdGdElhqPHoSZcUNv4joPujknSNiAhA1UxtQGjV30s1/64CAMiq3m8zyO5d6dmzJyZNmlRrmemMGTMQGhqKESNG4L777kNBQQHefPNNtGrVCgMHDgQALF68GBkZGYiKisIbb7yBfv36wdfXF8eOHUNWVhbCw8MBAB9//DFatGiB8ePH10pqHTVqFNauXYvY2Fjs2bMHjzzyCF544QWMGzcOarUaQNVSWFNJrG5uboiOjsb+/fvx2GOP6Y/PmTMHY8aMQZs2bXD58mUkJiZCLpdj4sSJJr8Xzz33HJKSktCxY0d07doV7733Hq5fv67vs7+/P+bMmYPZs2dDq9ViyJAhKCkpQWZmJgICAhAXF2f2933fvn1o3749OnToYPY5jYlrz4xoNUDqPBj/w33vWGqCQ9bxExGZ5CYHYlPufSGr8ea9r2OTHfZo+Y033qj1CCE6OhoHDx7En//8Z3Tu3Bnjxo2Dl5cX0tPT0aJFCwBAixYtcPjwYUyZMgXvvPMOoqKi0LNnT7z++uuYMGEC1qxZA6CqZsnjjz9eKxABgHHjxmHHjh24evUqNm7ciPLyciQlJUGlUulff/zjH+vs/1//+lds2bLFYAy//vorJk6ciC5dumD8+PFo0aIFDh48WOdjkXnz5mHixImYMmUKBg4cCD8/P8TExBjkoyxatAgLFixAUlISunXrhtjYWOzcuRPt2rWr/xtdzebNm/H0009bdE5jIhN1ZaM6idLSUgQGBqKkpMS2BdDy91U9kqlP3Dd2TQojoqavoqIC+fn5aNeuXa3kSbPl7aj6B1T1ZNaA1lWBCGdwzSaEwIABAzB79uw6Zz4spdVq0a1bN4wfP95okq21fvzxR4wYMQKnT59GYGCgza5rK3X9bpv7+e3aj2mcJCmMiMgs3R8Fuo5msn0DyWQyfPDBBzh+/HiDrnPhwgV89913GDp0KG7fvo2VK1ciPz8fTzzxhI16WqWgoAAfffSRUwYituLawYgTJYUREZnFTc6ZWhuIiIhAREREg67h5uaGDRs2YM6cORBCIDw8HGlpaejWrZttOnlPdHS0Ta/njFw7GHGipDAiImpcwsLCkJmZKXU3mgTXTmB1sqQwIiIiV+TawQhQ9Qx2/EdAQI215AGhXNZLRETkAK79mEaHSWFERESSYTCiw6QwIiIiSfAxDREREUmKwQgRERFJisEIERG5nAULFpi1sV5jkZCQgOeee07qbliNwQgREZk0depUyGQyJCcnGxz/6quvau0ds2bNGvTu3Rt+fn4ICgpCnz59kJSUZNCmtLQUCxYsQI8ePeDt7Y0WLVqgf//+ePvtt3H9+vVa99+8eTPkcjlmzpxZ672MjAyMHTsWKpUKvr6+iIiIwCeffFLvmNRqNd5991288sor+mM//PADxowZg9DQUMhkMnz11Ve1zhNC4LXXXoNKpYK3tzeio6Px888/13s/R5gzZw42btyIc+fOSd0VqzAYISJqRDRaDY6oj2DXuV04oj4CjQM28vTy8kJKSorRYEFn3bp1ePHFF/H8888jNzcXmZmZmDt3Lm7duqVvU1xcjAceeADr16/HnDlzcOjQIWRnZ+Ott95CTk4OPv3001rXXbt2LebOnYvNmzejoqLC4L0DBw6gV69e+OKLL3Ds2DFMmzYNU6ZMwTfffFPneD788EMMGjQIbdq00R8rKytD7969sWrVKpPnvf322/jnP/+J999/H4cOHYKvry9iYmJq9UsKLVu2RExMDFavXi11V6wjGoGSkhIBQJSUlEjdFSIiq/z2228iLy9P/Pbbb1ZfY/f53eLhbQ+L8A3h+tfD2x4Wu8/vtmFPDcXFxYlHHnlEdO3aVbz88sv6419++aWo/hEyduxYMXXq1Dqv9fe//134+vqKS5cuGX1fq9UafH3u3Dnh7e0tbty4IQYMGCA++eSTevs7atQoMW3atDrb9OjRQ6xcudLk+wDEl19+WatvSqVSvPPOO/pjN27cEJ6enmLz5s0mr1VaWiqeeOIJ4ePjI5RKpVi2bJkYOnSoeOGFF/RtKioqxEsvvSRCQ0OFj4+PiIqKEnv27NG/v379ehEYGChSU1NF165dha+vr4iJiRGXL182uNfGjRvFfffdV+fY7aGu321zP785M0JE1AikXUhDfEY8CssNN+4sKi9CfEY80i6k2e3ecrkcixcvxnvvvYdff/3VaBulUomDBw/iwoULRt/XarXYunUrJk+ejNDQUKNtaj72Wb9+PUaPHo3AwEBMnjwZa9eurbevJSUlCA4ONvl+cXEx8vLy0K9fv3qvVV1+fj7UarXBPjGBgYEYMGAAsrKyTJ4XHx+PzMxM7NixA7t378a+ffuQnZ1t0GbWrFnIysrCli1bcOzYMfz5z39GbGyswSOg8vJyLFmyBB9//DF++OEHXLx4EXPmzDG4TlRUFH799VecP3/eorE5AwYjREROTqPVIPlwMoSRPbR0x1IOp9j1kc3jjz+OiIgIJCYmGn0/MTERQUFBaNu2Lbp06YKpU6di27Zt0Gq1AIArV67gxo0b6NKli8F5ffv2hZ+fH/z8/DBx4kT9ca1Wiw0bNmDy5MkAgL/85S/Yv38/8vPzTfZx27ZtOHLkCKZNm2ayzcWLFyGEMBkQmaJWqwEACoXhxqkKhUL/Xk03b97Exo0bsWTJEjz88MMIDw/H+vXrodH8/nO6ePEi1q9fj88++wwPPvggOnTogDlz5mDIkCFYv369vt2dO3fw/vvvo1+/foiMjMSsWbOQnp5ucD/dmEwFhM6MwQgRkZPLLsquNSNSnYCAulyN7KJsk21sISUlBRs3bsTJkydrvadSqZCVlYXjx4/jhRdewN27dxEXF4fY2Fh9QGLMl19+idzcXMTExOC3337TH9+9ezfKysowatQoAFU5ESNHjsS6deuMXmfPnj2YNm0a1qxZgx49epi8n+4eXl5eZo25Ic6dO4c7d+4gKipKfywwMNAgIDt+/Dg0Gg06d+6sD8r8/Pywd+9enD17Vt/Ox8cHHTp00H+tUqlQVFRkcD9vb28AVbMojQ0rsBIRObkr5Vds2s5aDz30EGJiYjB//nxMnTrVaJvw8HCEh4fj2WefxTPPPIMHH3wQe/fuxdChQxEUFIRTp04ZtL///vsBAP7+/rhx44b++Nq1a1FcXKz/gAWqZkuOHTuGhQsXws3t939L7927F2PGjMHy5csxZcqUOsfQsmVLAMD169fRqlUrs8euVCoBAIWFhVCpft/LrLCwEBEREWZfp6Zbt25BLpfj6NGjkMsNtyDx8/PT/7+7u7vBezKZDEIYzpQVFxcDgEXjchacGSEicnKtfMz7cDG3XUMkJyfj66+/rjNPQqd79+4AqlaquLm5Yfz48di0aRMuX75c53nXrl3D9u3bsWXLFuTm5upfOTk5uH79Or777jt924yMDIwePRopKSlm1Q3p0KEDAgICkJeXV2/b6tq1awelUmnwaKS0tBSHDh3CwIEDjZ7Tvn17uLu748iRI/pjJSUlOH36tP7rPn36QKPRoKioCB07djR46QIgc504cQLu7u51zgw5K86MEBE5uciQSCh8FCgqLzKaNyKDDAofBSJDIu3el549e2LSpEn45z//aXB8xowZCA0NxYgRI3DfffehoKAAb775Jlq1aqX/sF68eDEyMjIQFRWFN954A/369YOvry+OHTuGrKwshIeHAwA+/vhjtGjRAuPHj6+V1Dpq1CisXbsWsbGx2LNnDx555BG88MILGDdunD53w8PDw2QSq5ubG6Kjo7F//3489thj+uO3bt3CmTNn9F/n5+cjNzcXwcHBuP/++yGTyfDiiy/izTffRKdOndCuXTssWLAAoaGhBtepzt/fH3FxcXj55ZcRHByMkJAQJCYmws3NTT+uzp07Y9KkSZgyZQqWLl2KPn364MqVK0hPT0evXr0wevRos382+/btw4MPPmgwm9Ro2Gehj21xaS8RNXYNXdq7+/xu0XNDT9FzQ0+Dpb26Y/Za3hsXFyfGjh1rcCw/P194eHgYLO39/PPPxahRo4RKpRIeHh4iNDRUjBs3Thw7dszg3Bs3boj58+eLrl27Ck9PT+Ht7S169eolFixYIK5duyaEEKJnz57i2WefNdqfrVu3Cg8PD3HlyhURFxcnANR6DR06tM4x7dq1S7Ru3VpoNBr9sT179hi9VlxcnL6NVqsVCxYsEAqFQnh6eoqHH35YnDp1qs57GVvaGxUVJRISEvRtKisrxWuvvSbatm0r3N3dhUqlEo8//rj+e6db2ltdzaXVQgjRpUuXOpcZ24stlvbKhBC1w2wnU1paisDAQJSUlCAgIEDq7hARWayiogL5+flo166d1cmTaRfSkHw42SCZVemjxLyoeYhuE13HmVSdEAIDBgzA7NmzDVbwOEJZWRlat26NpUuXYvr06Ta77n/+8x+89NJLOHbsGJo1c+xDj7p+t839/OZjGiKiRiK6TTSGhw1HdlE2rpRfQSufVogMiYTcTV7/yaQnk8nwwQcf4Pjx43a/V05ODn766SdERUWhpKQEb7zxBgBg7NixNr1PWVkZ1q9f7/BAxFYaZ6+JiFyU3E2O/sr+Unej0YuIiGjQKhhLLFmyBKdOnYKHhwf69u2Lffv26Vf12Mqf/vQnm17P0RiMEBER2UmfPn1w9OhRqbvh9Li0l4iIiCTFYISIiIgkxWCEiMiBGsECRiKL2OJ3msEIEZED6Mp5N8Z9Q4jqovudrlmy3hJMYCUicgC5XI6goCD95mY+Pj61qosSNSZCCJSXl6OoqAhBQUG19taxBIMRIiIH0e01UnO3VaLGLCgoyOJ9dGpiMEJE5CAymQwqlQohISG4c+eO1N0hajB3d/cGzYjoMBghInIwuVxuk7/AiZoKJrASERGRpBiMEBERkaQYjBAREZGkGIwQERGRpBiMEBERkaQYjBAREZGkGIwQERGRpBiMEBERkaQYjBAREZGkGIwQERGRpBiMEBERkaQYjBAREZGkGIwQERGRpBiMEBERkaQYjBAREZGkGIwQERGRpBiMEBERkaQYjBAREZGkGIwQERGRpBiMEBERkaQYjBAREZGkGIwQERGRpKwKRlatWoW2bdvCy8sLAwYMwOHDh+tsv2LFCnTp0gXe3t4ICwvD7NmzUVFRYVWHiYiIqGmxOBjZunUr4uPjkZiYiOzsbPTu3RsxMTEoKioy2v7TTz9FQkICEhMTcfLkSaxduxZbt27FP/7xjwZ3noiIiBo/i4ORZcuW4emnn8a0adPQvXt3vP/++/Dx8cG6deuMtj9w4AAGDx6MJ554Am3btsUf/vAHTJw4sd7ZFCIiInINFgUjlZWVOHr0KKKjo3+/gJsboqOjkZWVZfScQYMG4ejRo/rg49y5c9i1axdGjRpl8j63b99GaWmpwYuIiIiapmaWNL569So0Gg0UCoXBcYVCgZ9++snoOU888QSuXr2KIUOGQAiBu3fv4plnnqnzMU1SUhIWLlxoSdeIiIiokbL7apqMjAwsXrwY//rXv5CdnY1///vf2LlzJxYtWmTynPnz56OkpET/+uWXX+zdTSIiIpKIRTMjLVu2hFwuR2FhocHxwsJCKJVKo+csWLAATz75JP76178CAHr27ImysjL87W9/wyuvvAI3t9rxkKenJzw9PS3pGhERETVSFs2MeHh4oG/fvkhPT9cf02q1SE9Px8CBA42eU15eXivgkMvlAAAhhKX9JSIioibGopkRAIiPj0dcXBz69euHqKgorFixAmVlZZg2bRoAYMqUKWjdujWSkpIAAGPGjMGyZcvQp08fDBgwAGfOnMGCBQswZswYfVBCRERErsviYGTChAm4cuUKXnvtNajVakRERCA1NVWf1Hrx4kWDmZBXX30VMpkMr776Ki5duoRWrVphzJgxeOutt2w3CiIiImq0ZKIRPCspLS1FYGAgSkpKEBAQIHV3iIiIyAzmfn5zbxoiIiKSFIMRIiIikhSDESIiIpIUgxEiIiKSFIMRIiIikhSDESIiIpIUgxEiIiKSFIMRIiIikhSDESIiIpIUgxEiIiKSFIMRIiIikhSDESIiIpIUgxEiIiKSFIMRIiIikhSDESIiIpIUgxEiIiKSFIMRIiIikhSDESIiIpIUgxEiIiKSFIMRIiIikhSDESIiIpIUgxEiIiKSFIMRIiIikhSDESIiIpIUgxEiIiKSVDOpO0B2ptUAFw4AtwoBPwXQZhDgJpe6V0RERHoMRpqyvB1A6jyg9PLvxwJCgdgUoPujvx9jwEJERBJiMNJU5e0Atk0BIAyPlxZUHR//UVVAYm7AQkREZCfMGWmKtJqqAKNmIAL8fiw1ATjxVVVgUj0QAX4PWPJ22LmjREREDEaapgsHagcYBgRQegnYFY96Axatxg4dJCIi+h2DkaboVqF57cqv1fHmvYDlwgGbdImIiMgUBiNNkZ/CdtcyN7AhIiKyEoORpqjNoKokVMhMNJABPi3Nu5YtAxsiIiIjGIw0RW7yqtUwAGoHJPe+Hr20/oAloHVVYENERGRHDEaaqu6PVi3fDVAZHg8IrTre47H6A5bYZNYbISIiu5MJIYwtp3AqpaWlCAwMRElJCQICAqTuTuNSX0Ezo3VGWlcFIqwzQkREDWDu5zeLnjV1bnKg3YOm3+/+KNB1NCuwEhGRZBiMUP0BCxERkR0xZ4SIiIgkxWCEiIiIJMVghIiIiCTFYISIiIgkxWCEiIiIJMVghIiIiCTFpb3k/Oor3EZERI0agxFybkYrxIZWlbJnhVgioiaBj2nIeeXtALZNMQxEAKC0oOp43g5p+kVERDbFYOQejVaDI+oj2HVuF46oj0Cj1UjdJdem1VTNiMDY1kn3jqUmVLUjIqJGjY9pAKRdSEPy4WQUlhfqjyl8FEiISkB0m2gJe+bCLhyoPSNiQACll6rasZQ9EVGj5vIzI2kX0hCfEW8QiABAUXkR4jPikXYhTaKeubhbhfW3saQdERE5LZcORjRaDZIPJ0MYeRSgO5ZyOIWPbKTgp7BtOyIiclouHYxkF2XXmhGpTkBAXa5GdlG2A3tFAKqW7waEApCZaCADAlpXtSMiokbNpYORK+VXbNqObMhNXrV8F0DtgOTe17HJrDdCRNQEuHQw0sqnlU3bkY11fxQY/xEQoDI8HhBadZx1RoiImgSXXk0TGRIJhY8CReVFRvNGZJBB4aNAZEikBL0jAFUBR9fRrMBKRNSEufTMiNxNjoSoBABVgUd1uq/nRc2DnB980nKTVy3f7fmnqv/y50FE1KS4dDACANFtorFs2DKE+IQYHFf4KLBs2DKjdUZYII2IiMh2XPoxjU50m2gMDxuO7KJsXCm/glY+rRAZEml0RoQF0oiIiGxLJoQwVm/bqZSWliIwMBAlJSUICAiQrB+6Amk180t0j3RMzaQQERG5InM/v616TLNq1Sq0bdsWXl5eGDBgAA4fPlxn+xs3bmDmzJlQqVTw9PRE586dsWvXLmtuLRkWSCMiIrIPi4ORrVu3Ij4+HomJicjOzkbv3r0RExODoqIio+0rKysxcuRInD9/Hp9//jlOnTqFNWvWoHXr1g3uvCOxQBoREZF9WJwzsmzZMjz99NOYNm0aAOD999/Hzp07sW7dOiQkJNRqv27dOhQXF+PAgQNwd3cHALRt27ZhvZYAC6QRERHZh0UzI5WVlTh69Ciio3/Pi3Bzc0N0dDSysrKMnrNjxw4MHDgQM2fOhEKhQHh4OBYvXgyNxvTjjNu3b6O0tNTgJTUWSCMiIrIPi4KRq1evQqPRQKEw3JxMoVBArVYbPefcuXP4/PPPodFosGvXLixYsABLly7Fm2++afI+SUlJCAwM1L/CwsIs6aZZNFqBrLPXsD33ErLOXoNGW3cer65AWs16JDoyyKD0UdqtQBqXExMRUVNl96W9Wq0WISEh+OCDDyCXy9G3b19cunQJ77zzDhITE42eM3/+fMTHx+u/Li0ttWlAknqiAAu/zkNBSYX+mCrQC4ljuiM2XGX0HF2BtPiMeMggM0hktXeBNC4nJiKipsyimZGWLVtCLpejsNAwkbOwsBBKpdLoOSqVCp07d4Zc/vuHdLdu3aBWq1FZWWn0HE9PTwQEBBi8bCX1RAFmbMo2CEQAQF1SgRmbspF6osDkudYUSGso3XLimsmzReVFiM+IR9qFNJvfk4iIyJEsmhnx8PBA3759kZ6ejsceewxA1cxHeno6Zs2aZfScwYMH49NPP4VWq4WbW1Xsc/r0aahUKnh4eDSs9xbSaAUWfp1nZHEu9McWfp2Hkd2VkLsZfxxjSYG0hve37uXEMsiQcjgFw8OGs2Q9ERE1WhYv7Y2Pj8eaNWuwceNGnDx5EjNmzEBZWZl+dc2UKVMwf/58ffsZM2aguLgYL7zwAk6fPo2dO3di8eLFmDlzpu1GYabD+cW1ZkRqKiipwOH84jrbyN3k6K/sj1HtR6G/sr/dAgEuJyYiIldgcc7IhAkTcOXKFbz22mtQq9WIiIhAamqqPqn14sWL+hkQAAgLC8O3336L2bNno1evXmjdujVeeOEFzJs3z3ajMFPRzboDEZ3deWoM7NDCzr2pn7nLhAvLCnFEfcTuMzVERET24FLl4LPOXsPENQfrbdfC1wOHX4k2+ajGUY6oj+Cpb5+qt11zz+a4fvu6/msmtxIRkTOwazn4xiqqXTCCfd3rbXetrLLeRzWOUN9yYp3qgQjA5FYiImpcXCoYkbvJ8HiEeWXod+cZr5viSLrlxADqDUiq4145RETUmLhUMAIA0d2NL0GuaV3m+TqX+TqKqeXEzT2b13meLZJbWWiNiIgcwe5Fz5xNVLtgqAK96l1VI0P9y3wdxdhy4sKyQszfP7/ec63dK4eF1oiIyFFcbmZE7iZD4pju9bYTqFrmuyEzv95S8Y5QczmxwldR/0mwbq8clyy0ptUA+fuA459X/ZezQEREDuNywQgAxIarMH1wW7PaLtp5EkNSvneKRzbV2WuvnPoKrQFNMBclbwewIhzY+AjwxfSq/64IrzpORER255LBCGB+7ghQNUPyzKZs7Dp22Y49skxdya0N2SvH5Qqt5e0Atk0BSmv8bEsLqo4zICEisjuXDUZ0uSOWZIPM2pyDXcecZ4bEHnvlmJtjYm0uilPRaoDUeUBdGwSkJvCRDRGRnblcAquOLndkxqZsyGD846gmrQCe/TQbs4s6YdaITpIntgK23yvH3BwTa3JRnM6FA7VnRAwIoPRSVbt2DzqsW0RErsZlZ0aAqtyR1ZMjoQz0sui85Wk/Y3Cy8+SR2HKvHHvlojilW6YfR1nVjoiIrOLSwQhQFZDsnzcCC0Z3s+g8dWlVHsmir39E1tlrTrHixhbslYvilPzMW5FkdjsiIrKKywcjQNUjm6mD20Fl4QwJAKzNPI+Jaw465Yoba9kjF8UptRkEBIQCJjOHZEBA66p2RERkNy61UV59Uk8U4JlNDVslMjvaefJJGkqj1dgsF8Vp6VbTADDMHLr38xv/EdD9UUf3ioioSTD385vBSA27jl3GrM05aMhTl+Y+7vhjn9aI7q5EVLvgJhGYNGl5O6pW1VRPZg1oDcQmMxAhImoABiMNsOtYAZ791DZ1NFSBXkgc0x2x4SqbXI/sRKupWjVzq7AqR6TNIKCpzQIRETkYg5EGSj1RgNd3/Ah16e0GXUe3bHh2dCe0bemLEH8vzpYQEZFLYDBiAxqtwMrvz2B52mmbXpezJURE5AoYjNhQ6okCLPw6r96dfs2lmxNZ9UQfNPf1RNHNCs6YEBFRk8NgxMY0WoHD+cXYnafGuszzNrmmmwwGibKcMSEioqaEwYgd2SqfxJTpg9s2yZU4LrFU2JkxSZeIHIzBiJ3ZK5+kuqY0U5J2IQ3Jh5MNdgRW+CiQEJXQdIqoOTOjy5dDgdgULl8mIrthMOIgts4nqU43J7J6ciRGdlficH5xo8wvSbuQhviMeIga2xHqyss3qaquzkhf2K3mH3UWdiMi+2Iw4kDV80m+yr2M4rJKm11bBiDQxx1ezeRQl/4e8DSWWRONVoOYL2IMZkSqk0EGhY8CqeNS+cjGHrQaYEV4HbsTy6pmSF48zkc2RGRz5n5+N3Ngn5osuZsMAzu0wMAOLfDK6O76GYzzV8ux4t5jHGsjPgHgRvkdAHcMjqtLKjBjU7bTr8jJLso2GYgAgICAulyN7KJs9Ff2d2DPmo46c3EuHKgjEAEAAZReqmrX7kGH9JeIqCYGIzamC0x0uij9aj3GqbmKxhq602uWrne2GZMr5Vds2o4M1ZuLc8t0IGjA3HZERHbAYMTOYsNVtfI9rpdVYua9cvMNfUZWM6hRl1TgmU3ZTlPxtZVPK5u2o9+ZysUpKi9CfEZ8VS6On8K8i5nbjojIDhiMOEDN2RIAWO0WaZfEV93H0vK0n/XHVIFeWDC6mySPcyJDIqHwUaCovKjWhybwe85IZEik3fvSlGi0GiQfTjb6PRUQkEGGlMMpGP74TsgDQoHSAhgPfe/ljLQZZPc+ExGZwmBEItVnTHSF1HT72NhaQUkFnv00x+CYox7nyN3kSIhKQHxGPGSQGXx46lbTzIuax+RVC5mdi3P1f+gfm3JvNU3N37B7wWhsMpNXiUhSblJ3wJXpZkxeG9MD70+OhDLQy+B9ZYAngnzcYY/5C10C7K5jl5F19hq2515C1tlr0DQ0mcWI6DbRWDZsGUJ8QgyOK3wUXNZrJYtycbo/WrV8N6BG4BkQymW9ROQUuLTXieiWCFd/lLI7T40Zm2yTX2JMzWRaZYAnJkbdb5d8E1ZgtZ0j6iN46tun6m23Lmbd76uUWIGViByMdUaaEGOF1WyxIscc9gxOyHq6+i315eKwfgsRSYnBSBNTc9bElityLKHLNWnMFWGbCt1qGgBGc3H4CIyIpMZgxAXYsxS9KboUyCAf93vF2KoE+7rj8YjWTXKDP2dmrM6I0keJeVHzGIgQkeQYjLiI6jMmtqj4agtSLiV2RczFISJnxWDERUkxW2IOBihERK6HwYgLM5ZfsminNAmwdXG20vVERGRbDEbIgLMkwFanmxNZPTkSseEqo0ubOXNCRNR4cddeMuDIkvTmEqgKSBZ+nQetFrVmb7hyh5oU1nkhMokzIy6uZgLs5sMXoS51jnwTUyt3mH9CjU7eDiB1HlB6+fdjAaFAbAor4FKTxsc0ZJX6gpOagYGz4CwKOa28Hff2Bqr5V+2930uW5KcmjMEI2YSpEvXOtmLH1CwKK8iSpLQaYEW44YyIgXu7Jr94nI9sqEliMEJ2pQtSduep8VXuZRSXVUrdJbPwEQ85VP4+YOMj9beL+wZo96D9+0PkYExgJbvSJcQO7NACr4zuXu9SYmNqbmjvCAUlFXj20xyDYwxQyG5uFdbfxpJ2RE0UgxFqMGMrdWLClfUGKMp7QcCinSehLqmQbImxqQCleg0ULjsmq/gpbNuOqIliMEJ2YU6AovtAd3OTYcambElmSkxRl1RgxqZsrJ4cCQC1cmQaY8E2lo2XQJtBVTkhpQUw/tt9L2ekzSBH94zIqTBnhJyCsTL2umRUqYIUGYBAH3eUlN8xtQ4CqydH1lrB07dNcxy9cN2pZlGMbajX3LM5Xn3gVfyh7R8k7JkL0K+mAQx/k7mahpo+JrBSo9NYVu7o6IIVr2Zyg+XPNUvtV59FkeJxT9qFNMRnxEOYCOmm9ZiG+H7xdu2DyzNaZ6Q1EJvMQISaNAYj1GSYs9eO1LModdGFGn97qB12/K/AoY97NFoNYr6IMZgRMWbp0KWcIbE3VmAlF8RghJq0xjaLYkpdj3tsMWtyRH0ET337VL3tmns2x57xe5hDQkQ2xaW91KQZS5CNDVcZfKA7W3l7Y3T78yT8+zhe35Fn0FdbVJW9Un7FrHbXb19HdlE2+iv7WzEKIqKGYTBCTUrNIGXWiI4NqoESZCKB1ZYEcK9qrGGZfXVJBZ7ZlG10bx5zg5RWPq3M7oe5gQsRka0xGKEmrSE1UBLHdAcAyZYd6+5Xcy8gS4KUln5t0NyzOa7fvl7v/SwJXIiIbIk5I0Sou6iZsWXHygBPVNzV2n3WxBKm9udpqfgJt4M31Hluc48QpP35W3g0479PiMh2mMBKZEOmEmZnbMoG4HwreKqTAXBvtQueLX74PWP2Ht2f/opLk9HKrR93Pm4gFpYjMsRghMgBjM2aGKsz8mhvFT74IR+AdIFLM/9j8FRuh1uzMv0x7Z1A3C4cg7s3w7nzcQMZKyyn8FEgISoB0W2iJewZkXQYjBA5SM1ZE1MVWJ3jcY8Wcp98yJrdhLjrD015OwBuFl2hrgRaAC45q2KqsJzs3lTUsmHLGJCQS2IwQuSEGvPjHh1TMyhBPu4A4HKzKvUVlpNBBoWPAqnjUvnIhlwOgxGiRsQZ9+axB1vUTnE25haWWxezjnVcyOWw6BlRI1KzYFtdVWUbc5BS37JkXVl8KfbwsZa59VlYx4XINKuCkVWrVuGdd96BWq1G79698d577yEqKqre87Zs2YKJEydi7Nix+Oqrr6y5NVGTZU5V2cYepNRVO2XGpmysnhwJALXG5sx5KubWZ2EdFyLTLH5Ms3XrVkyZMgXvv/8+BgwYgBUrVuCzzz7DqVOnEBISYvK88+fPY8iQIWjfvj2Cg4MtCkb4mIaoNnP352kMQQrw+y7IxpJ5LclTUQV6YcHobmju6+mQAEWXM1JUXmR0Z2TmjJArs1vOyIABA9C/f3+sXLkSAKDVahEWFobnnnsOCQkJRs/RaDR46KGH8NRTT2Hfvn24ceMGgxEiOzE3SKm5BLmxBC3WsHeAoltNA8AgIOFqGnJ1dglGKisr4ePjg88//xyPPfaY/nhcXBxu3LiB7du3Gz0vMTERx44dw5dffompU6fWG4zcvn0bt2/fNhhMWFgYgxGiBjBnCXJj3PnYWqYe/Zhaml0fY3VGlD5KzIuax0CEXJZdElivXr0KjUYDhUJhcFyhUOCnn34yes7+/fuxdu1a5Obmmn2fpKQkLFy40JKuEVE9jOWkWLPzcVOZQTGVTGusaF3NWRVjAUt0m2gMDxvOCqxEVrDrapqbN2/iySefxJo1a9CyZUuzz5s/fz7i4+P1X+tmRojI/urb+biu3BSgdnKqszKVTKutEWEVlFTg2U9zDI4ZC1h0q4G4fJfIchYFIy1btoRcLkdhoWFxn8LCQiiVylrtz549i/Pnz2PMmDH6Y1qtturGzZrh1KlT6NChQ63zPD094enpaUnXiMhOLFnlA8CqWZXqCarOtPmgKTUDluqrgXTLk4nIfBYFIx4eHujbty/S09P1OSNarRbp6emYNWtWrfZdu3bF8ePHDY69+uqruHnzJt59913OdhA1YsaCFABWzaoo780sAMCMTdmN7hGQrq//+PI4RnRVwKNZ3SX2uaEekSGLH9PEx8cjLi4O/fr1Q1RUFFasWIGysjJMmzYNADBlyhS0bt0aSUlJ8PLyQnh4uMH5QUFBAFDrOBE1PZbMquiSRFdPjmy0y5OLy+7ggaR0LH483OQMCTfUI6rN4mBkwoQJuHLlCl577TWo1WpEREQgNTVVn9R68eJFuLlZtvEWEbkWU7MqgOWF3gDnylMpLqs0+cjG1IZ6ReVFiM+I5xJgclncm4aIGg1jNVQAwwqs18sqsWintMuTZah69LR/3gj9jA831CNXxL1piKjJMSdPBQBiwpX1Bij2fPQjULUK5+DZaxjcqWolYXZRtslApOocAXW5GtlF2VyRQy6HwQgRNTnGgpaaAYq5lWkbYuan2Uge1xOx4SpuqEdUBwYjROQSzE2mrVnQzNisirmzKTd+u4NnNmXjX0/0QasQbqhHZAqDESJyaeZUpq05qxIRFoTBKd+juKzSrHvM2pyDf/6lNxQ+ino31IsMibR+MESNFJe9EBHVQxewjI1ojYEdWsDbQ47Fj4fD3G32tAKYtfl/iFH+HcDvG+jp6L6eFzWPyavkkhiMEBFZITZchdWTIxHk7W72OV/sa44lQ5cixCfE4LjCR8FlveTS+JiGiMhKseEq+Hu5Y9KHh8xqry69jZNnOuPbcd+yAitRNQxGiIga4IH2LaAK9DK7rsnytNPoovRDbLi0y3c1dyuRffxjXCm9iFYB9yOy55OQN/OQtE/kulj0jIiogVJPFOCZTdlmt1fVKIjmaGn7k5B8+hMUyn+/v0IjkNB5EqKHzJekT9Q0mfv5zZwRIqIGig1X4V9P9IG5sUVBSQU2ZOZDY6uCJhZI25+E+DOfoLDG3/5FbkD8mU+Qtj/J4X0iYjBCRGQDo3qFYuVE85flLtp5EkNSvkfqiQI79sqQ5m4lkk9/UrWwWGYYOYl7X6ec/gSau+YtWSayFQYjREQ2MqqXCrOjO5ndvqCkAs9sysauY5ft2KvfZR//uOrRjMz4FI6QyaCWy5B9/GOH9IdIh8EIEZENzRrRCcoAL8vO2ZyDXcfsP0NypfSiTdsR2QqDESIiG5K7yfD6o90hAywqivbsp/afIWkVcL9N2xHZCoMRIiIb0xVEUwY61wxJZM8nodAIyEwsopQJAaVGILLnk3brA5ExDEaIiOwgNlyF/fNGYMHobmafo5shsVdSq7yZBxI6TwKAWgGJ7ut5nSex3gg5HIMRIiI7kbvJMHVwO6gsnCFZ+HWe3Zb9Rg+Zj2UdJyFEa3hcoQWWdWSdEZIGi54REdmZpUXRAGDB6G6YOrid3QqjsQIrOYK5n98MRoiIHGDXscuYtTkHlkx4qAK9kDimO2LDVfbrGJEdsQIrEZETsbQoGgCoSyowY5P9ckiInAWDESIiBxnVy7Ky8eLe6x9fHkflXW19zYkaLQYjREQOZM0MSXHZHTyQlM4ZEmqyGIwQETnYqF4qvD850qJVNsVllQ4tHU/kSAxGiIgkYE0dEsBxpeOJHInBCBGRRKrXIbG0dDwf2VBTwmCEiEhCcjcZEsd0t/g8JrVSU8JghIhIYrq9bIJ93c0+h0mt1JQwGCEicgKx4SocnB+NYF/zq6AWl1WyDgk1CQxGiIichEczNyx+PNyicwSAhC+OI/PMVbvtZ0NkbwxGiIicSGy4ZYXRAODGb3cw6cNDGJLyPWdJqFFiMEJE5GSsKYwGsHw8NV4MRoiInJCuMJolSa268vGv7/iRj2yoUWEwQkTkpKxJagUAdeltrPz+jJ16RWR7DEaIiJyYLqlVBphdGA0Alqed5uMaajQYjBAROTldHRKlBXvZAFxlQ42HTAjh9L+lpaWlCAwMRElJCQICAqTuDhGRJDRagYNnr2Hmp9m48dsds89TBXohcUx3xIar7Ng7otrM/fzmzAgRUSMhd5NhcKeWSB7X06LzCkoquOMvOTUGI0REjUxsuAqzoztZfB53/CVnxWCEiKgRmjWiE5QBluWQ1LXjr0arwRH1Eew6twtH1Eeg0Wps1VWiejWTugNERGQ5uZsMrz/aHTM2ZQOoqi9iroQvjsPfyx0PtG8BuZsMaRfSkHw4GYXlhfo2Ch8FEqISEN0m2sY9J6qNCaxERI1Y6okCLPw6DwUlFRafqwr0wh+HFOPjc4sgaoQzsnsLiZcNW8aAhKxm7uc3gxEiokbO2lU2Mmjh0zEFbu4lJt6XQeGjQOq4VMjd5LbqLrkQrqYhInIR1q6ycfPJNxmIAICAgLpcjeyi7IZ2kahODEaIiJoIS3f8lTW7aVa7K+VXGtArovoxGCEiakIs2fFX3PU3q10rn1YN6RJRvRiMEBE1Mbodf1X1lI/XlLeD9k4gTGUOyiCD0keJyBDzghsiazEYISJqgmLDVdg/bwQ+mT4AQd7uJlq54XbhGAAwGZDMi5rH5FWyOwYjRERNVPXEVlNpJHdvhqPi0mSIu4EGx7V3AuFxbSru3uxh/46Sy+PSXiIiF5B6ogD/+PI4istMLf3VQu6TD1mzmxB3/aEpbwfADTIAqydHcpM9sgqX9hIRkV5suAoH50cj2NfDRAs3aMo74G5pBDTlHaD7eBCoqtiaeeYqNFqn/7crNVIMRoiIXIRHMzcsfjzc4vNu/HYHkz48hCEp3xvd14aooRiMEBG5EEtrkVRXUFKBZzZl492005wlIZtiMEJE5GIsqUVizPK0nzE4mbMkZDsMRoiIXJCuFokywNOq89WlFZixKZsBCdkEgxEiIhcVG65CZsLDmB3d2eprLPw6j49sqMEYjBARuTC5mwwvRHcyq2JrTQJVeSQbMvMZkFCDsM4IEREBADRagYNnr2Hmp9m48ZupeiTGqQK9kDimO+uRkAHWGSEiIouYU7HVFN1Km13HLtulb9S0MRghIiIDseEqrLYyuXXW5hzsOsakVrKMVcHIqlWr0LZtW3h5eWHAgAE4fPiwybZr1qzBgw8+iObNm6N58+aIjo6usz0REUnP2uRWrQCe/ZS1SMgyFgcjW7duRXx8PBITE5GdnY3evXsjJiYGRUVFRttnZGRg4sSJ2LNnD7KyshAWFoY//OEPuHTpUoM7T0RE9tOQ5FbWIrEPjVaDI+oj2HVuF46oj0Cj1UjdJZuwOIF1wIAB6N+/P1auXAkA0Gq1CAsLw3PPPYeEhIR6z9doNGjevDlWrlyJKVOmmHVPJrASEUlLoxXYkJmPRTtPWnzu7OhOmDWiE+TWlH0lvbQLaUg+nIzC8kL9MYWPAglRCYhuEy1hz0yzSwJrZWUljh49iujo3wft5uaG6OhoZGVlmXWN8vJy3LlzB8HBwSbb3L59G6WlpQYvIiKSjtxNhqmD21k8QwJwlsQW0i6kIT4j3iAQAYCi8iLEZ8Qj7UKaRD2zDYuCkatXr0Kj0UChUBgcVygUUKvVZl1j3rx5CA0NNQhoakpKSkJgYKD+FRYWZkk3iYjIDuRuMiSO6W7VuepS7mtjLY1Wg+TDyRCo/X3THUs5nNKoH9k4dDVNcnIytmzZgi+//BJeXqaj6/nz56OkpET/+uWXXxzYSyIiMqUhG+0BnCWxRnZRdq0ZkeoEBNTlamQXZTuwV7ZlUTDSsmVLyOVyFBYaflMKCwuhVCrrPHfJkiVITk7Gd999h169etXZ1tPTEwEBAQYvIiJyDg3daM9ZZ0k0WoGss9ewPfcSss5ec5q+XSm/YtN2zsiiYMTDwwN9+/ZFenq6/phWq0V6ejoGDhxo8ry3334bixYtQmpqKvr162d9b4mIyCk0dKM9wLlmSVJPFGBIyveYuOYgXtiSi4lrDmJIinP0rZVPK5u2c0YWP6aJj4/HmjVrsHHjRpw8eRIzZsxAWVkZpk2bBgCYMmUK5s+fr2+fkpKCBQsWYN26dWjbti3UajXUajVu3bplu1EQEZHD2WKjPWfY/Tf1RAFmbMpGQUmFwXFdVVmpZ3AiQyKh8FFAZqIurgwyKH2UiAyxfrZKahYHIxMmTMCSJUvw2muvISIiArm5uUhNTdUntV68eBEFBb//Uq1evRqVlZX405/+BJVKpX8tWbLEdqMgIiJJVK9F0pBZEql2/9VoBRZ+nWckNfR3Us/gyN3kSIiqKp1RMyDRfT0vah7kbnKH981WuFEeERHZhEYrsPL7M1iedtqq8zc//QAGdmhh417VLevsNUxcc9Ds9tMHt0V0dyWi2gU7vG6KsTojSh8l5kXNa/R1Rpo5sE9ERNSE6WZJuij98PqOH6EuvW3R+UU3K+pvZGOW3nNt5nmszTyPIG93TBvc1qHF3KLbRGN42HBkF2XjSvkVtPJphciQyEY9I6LDYISIiGwqNlyFkd2VFs+ShPhbXlCtoay9543f7mB52s9Yf+A8kv/YE7HhKhv3zDi5mxz9lf0dci9H4q69RERkc5bkksgAqAK9ENXOdGVue4lqFwxVoJeJ1ND63Si/g2c2ZWPR1z861XLgxobBCBER2U19K250QUDimO6S7F3TkKqy1a3NPO9Uy4EbGwYjRERkV3Xt/qsM9MLqyZEOe8xhTGy4CqsbuBpIR7cceNexyzbomevgahoiInIYjVbgcH4xim5WIMTfS5JVKaY0dDVQdW4yYOXESIzqJV2Q5QzM/fxmMEJERFRN6okCLPw6r1YRNGtIuRTYGTAYISIispJuBmd3nhrrMs83+HrBvu54PKK1ywUmDEaIiIhsIPVEARL+fRw3yu/Y5HqqQC8kjukuaZ6Mo5j7+c0EViIiojrEhqtw9NWRmB3dGUHe7g2+nrpE+v14nA1nRoiIiMxky8c3wb7uWPBIDygDnCuR15b4mIaIiMiOdh27jFmbc2CLOmdN9dENH9MQERHZ0aheoVg5MdIm13L1Rzfcm4aIiMhKo3qp8L5bZIOXAgtUVaN9fceP8Pdyx9Vbt52uDos98TENERFRA9l6KbBOY398w8c0REREDiJ3k2FghxZ4bUwPo2XvraUrL/9u2ukmvQkfZ0aIiIhsrPpMyVe5l1FcVtngayoDvPD6o41rloSraYiIiJyALjBRl/yGRTtP4npZJRrywTs7uhPatvRtFDkl5n5+M4GViIjIjnSPcADA20OOGZuyIQOsDkiWp/2s///GnlOiw5wRIiIiB4kNV2H15EgobZRToq6WU7I99xKyzl5rlLklfExDRETkYLpHN0U3K9DS1xMvffY/FJZWNOjxjY4zzZZwNQ0REZGT0j26GRvRGoM7tcTrj3a32bUb4wocBiNEREQS0z++CfC02TWXp/2MwcnfN4qqrgxGiIiInEBsuAqZCQ9jdnRnm11TXdo4ZkkYjBARETkJuZsML0R3smnhNMD5Z0mYwEpEROSEqie5nr9ajhVppwFYvyRYZ/rgtojurnRIjRIWPSMiImpCUk8UNHhDvuocseqGwQgREVETY2y2xNoPcV3hNXtWdGUFViIioiamejVXAOii9MPrO36EuvS2xdfSBTHOUNGVCaxERESNlK1X4KhLKjBjU7bDE10ZjBARETVi1VfgNLROiW62ZOHXeQ5dCsxghIiIqAmw1SyJQFUV18P5xbbpmBkYjBARETURtqxTUnTTNqt2zMEEViIioiYmNlyFkd2VOJxfjN15aqzLPK9fPWOuEH/bFV2rD4MRIiKiJki38mZghxaIahdsdo0SGQBlYNUyX0dhMEJERNTEVZ8pqauiq67CSOKY7navzlodgxEiIiIXYKxGSc3ZEqVEdUYYjBAREbmgmrMl9qjAai4GI0RERC6q5myJVLi0l4iIiCTFYISIiIgkxWCEiIiIJMVghIiIiCTFYISIiIgkxWCEiIiIJMVghIiIiCTFYISIiIgkxWCEiIiIJNUoKrAKUbWNT2lpqcQ9ISIiInPpPrd1n+OmNIpg5ObNmwCAsLAwiXtCRERElrp58yYCAwNNvi8T9YUrTkCr1eLy5cvw9/eHTCZDaWkpwsLC8MsvvyAgIEDq7tlUUx4b0LTH15THBjTt8TXlsQFNe3xNeWxA4x+fEAI3b95EaGgo3NxMZ4Y0ipkRNzc33HfffbWOBwQENMofjjma8tiApj2+pjw2oGmPrymPDWja42vKYwMa9/jqmhHRYQIrERERSYrBCBEREUmqUQYjnp6eSExMhKenp9RdsbmmPDagaY+vKY8NaNrja8pjA5r2+Jry2ICmPz6dRpHASkRERE1Xo5wZISIioqaDwQgRERFJisEIERERSYrBCBEREUmqUQQjxcXFmDRpEgICAhAUFITp06fj1q1bdZ7zwQcfYNiwYQgICIBMJsONGzcc01kzrFq1Cm3btoWXlxcGDBiAw4cP19n+s88+Q9euXeHl5YWePXti165dDuqpdSwZ348//ohx48ahbdu2kMlkWLFiheM6agVLxrZmzRo8+OCDaN68OZo3b47o6Oh6f9ZSs2R8//73v9GvXz8EBQXB19cXERER+Pjjjx3YW8tY+udOZ8uWLZDJZHjsscfs28EGsmR8GzZsgEwmM3h5eXk5sLeWsfRnd+PGDcycORMqlQqenp7o3LmzU/+9acn4hg0bVutnJ5PJMHr0aAf22A5EIxAbGyt69+4tDh48KPbt2yc6duwoJk6cWOc5y5cvF0lJSSIpKUkAENevX3dMZ+uxZcsW4eHhIdatWyd+/PFH8fTTT4ugoCBRWFhotH1mZqaQy+Xi7bffFnl5eeLVV18V7u7u4vjx4w7uuXksHd/hw4fFnDlzxObNm4VSqRTLly93bIctYOnYnnjiCbFq1SqRk5MjTp48KaZOnSoCAwPFr7/+6uCem8fS8e3Zs0f8+9//Fnl5eeLMmTNixYoVQi6Xi9TUVAf3vH6Wjk0nPz9ftG7dWjz44INi7NixjumsFSwd3/r160VAQIAoKCjQv9RqtYN7bR5Lx3b79m3Rr18/MWrUKLF//36Rn58vMjIyRG5uroN7bh5Lx3ft2jWDn9uJEyeEXC4X69evd2zHbczpg5G8vDwBQBw5ckR/7D//+Y+QyWTi0qVL9Z6/Z88epwpGoqKixMyZM/VfazQaERoaKpKSkoy2Hz9+vBg9erTBsQEDBoi///3vdu2ntSwdX3Vt2rRx6mCkIWMTQoi7d+8Kf39/sXHjRnt1sUEaOj4hhOjTp4949dVX7dG9BrFmbHfv3hWDBg0SH374oYiLi3PqYMTS8a1fv14EBgY6qHcNY+nYVq9eLdq3by8qKysd1cUGaeifu+XLlwt/f39x69Yte3XRIZz+MU1WVhaCgoLQr18//bHo6Gi4ubnh0KFDEvbMcpWVlTh69Ciio6P1x9zc3BAdHY2srCyj52RlZRm0B4CYmBiT7aVkzfgaC1uMrby8HHfu3EFwcLC9umm1ho5PCIH09HScOnUKDz30kD27ajFrx/bGG28gJCQE06dPd0Q3rWbt+G7duoU2bdogLCwMY8eOxY8//uiI7lrEmrHt2LEDAwcOxMyZM6FQKBAeHo7FixdDo9E4qttms8XfK2vXrsVf/vIX+Pr62qubDuH0wYharUZISIjBsWbNmiE4OBhqtVqiXlnn6tWr0Gg0UCgUBscVCoXJsajVaovaS8ma8TUWthjbvHnzEBoaWiu4dAbWjq+kpAR+fn7w8PDA6NGj8d5772HkyJH27q5FrBnb/v37sXbtWqxZs8YRXWwQa8bXpUsXrFu3Dtu3b8emTZug1WoxaNAg/Prrr47ostmsGdu5c+fw+eefQ6PRYNeuXViwYAGWLl2KN9980xFdtkhD/145fPgwTpw4gb/+9a/26qLDSLZrb0JCAlJSUupsc/LkSQf1hsi+kpOTsWXLFmRkZDh1oqCl/P39kZubi1u3biE9PR3x8fFo3749hg0bJnXXrHbz5k08+eSTWLNmDVq2bCl1d+xi4MCBGDhwoP7rQYMGoVu3bvh//+//YdGiRRL2rOG0Wi1CQkLwwQcfQC6Xo2/fvrh06RLeeecdJCYmSt09m1q7di169uyJqKgoqbvSYJIFIy+99BKmTp1aZ5v27dtDqVSiqKjI4Pjdu3dRXFwMpVJpxx7aXsuWLSGXy1FYWGhwvLCw0ORYlEqlRe2lZM34GouGjG3JkiVITk5GWloaevXqZc9uWs3a8bm5uaFjx44AgIiICJw8eRJJSUlOFYxYOrazZ8/i/PnzGDNmjP6YVqsFUDUre+rUKXTo0MG+nbaALf7cubu7o0+fPjhz5ow9umg1a8amUqng7u4OuVyuP9atWzeo1WpUVlbCw8PDrn22REN+dmVlZdiyZQveeOMNe3bRYSR7TNOqVSt07dq1zpeHhwcGDhyIGzdu4OjRo/pzv//+e2i1WgwYMECq7lvFw8MDffv2RXp6uv6YVqtFenq6wb9Sqhs4cKBBewDYvXu3yfZSsmZ8jYW1Y3v77bexaNEipKamGuQ9ORtb/ey0Wi1u375tjy5azdKxde3aFcePH0dubq7+9eijj2L48OHIzc1FWFiYI7tfL1v87DQaDY4fPw6VSmWvblrFmrENHjwYZ86c0QeQAHD69GmoVCqnCkSAhv3sPvvsM9y+fRuTJ0+2dzcdQ+oMWnPExsaKPn36iEOHDon9+/eLTp06GSzt/fXXX0WXLl3EoUOH9McKCgpETk6OWLNmjQAgfvjhB5GTkyOuXbsmxRD0tmzZIjw9PcWGDRtEXl6e+Nvf/iaCgoL0y+qefPJJkZCQoG+fmZkpmjVrJpYsWSJOnjwpEhMTnX5pryXju337tsjJyRE5OTlCpVKJOXPmiJycHPHzzz9LNQSTLB1bcnKy8PDwEJ9//rnBUrybN29KNYQ6WTq+xYsXi++++06cPXtW5OXliSVLlohmzZqJNWvWSDUEkywdW03OvprG0vEtXLhQfPvtt+Ls2bPi6NGj4i9/+Yvw8vISP/74o1RDMMnSsV28eFH4+/uLWbNmiVOnTolvvvlGhISEiDfffFOqIdTJ2t/NIUOGiAkTJji6u3bTKIKRa9euiYkTJwo/Pz8REBAgpk2bZvAXen5+vgAg9uzZoz+WmJgoANR6OcNa7Pfee0/cf//9wsPDQ0RFRYmDBw/q3xs6dKiIi4szaL9t2zbRuXNn4eHhIXr06CF27tzp4B5bxpLx6X52NV9Dhw51fMfNYMnY2rRpY3RsiYmJju+4mSwZ3yuvvCI6duwovLy8RPPmzcXAgQPFli1bJOi1eSz9c1edswcjQlg2vhdffFHfVqFQiFGjRons7GwJem0eS392Bw4cEAMGDBCenp6iffv24q233hJ37951cK/NZ+n4fvrpJwFAfPfddw7uqf3IhBDC0bMxRERERDpOv7SXiIiImjYGI0RERCQpBiNEREQkKQYjREREJCkGI0RERCQpBiNEREQkKQYjREREJCkGI0RERCQpBiNEREQkKQYjREREJCkGI0RERCQpBiNEREQkqf8PhYH/kkZyPXUAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -512,33 +580,41 @@ "assert abs(nsga2.evaluator.n_eval - 1000) < 10 # 500 from previous + 5*100 continued optimization\n", "plot(problem.pareto_front(), result5.opt.get('F'), result10.opt.get('F'),\n", " labels=['Known Pareto front', 'NSGA2 (5 gen)', 'NSGA2 (10 gen)'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:23:17.573277300Z", - "start_time": "2023-07-24T08:23:17.362273100Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "### Sampling an Architecture Design Space\n", "\n", "If you only need to sample an architecture design space (i.e. not perform optimization), you can either use the `HierarchicalSampler` directly or use the DoE algorithm to also evaluate them, including restart and intermediate storage capabilities." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 22, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:24:55.346235Z", + "start_time": "2023-07-24T08:24:55.321232Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "data": { - "text/plain": "(100, 6)" + "text/plain": [ + "(100, 6)" + ] }, "execution_count": 22, "metadata": {}, @@ -552,23 +628,28 @@ "pop = HierarchicalSampling(seed=42).do(problem, n_samples=100)\n", "x = pop.get('X')\n", "x.shape" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:24:55.346235Z", - "start_time": "2023-07-24T08:24:55.321232Z" - } - } + ] }, { "cell_type": "code", "execution_count": 24, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:25:11.817211700Z", + "start_time": "2023-07-24T08:25:09.053152400Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "data": { - "text/plain": "
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" 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", + "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -587,18 +668,21 @@ "result = minimize(problem, doe_algo, seed=42)\n", "\n", "plot(problem.pareto_front(), result.pop.get('F'), labels=['Known Pareto front', 'Sampled population'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:25:11.817211700Z", - "start_time": "2023-07-24T08:25:09.053152400Z" - } - } + ] }, { "cell_type": "code", "execution_count": 25, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:25:19.610290500Z", + "start_time": "2023-07-24T08:25:19.370294800Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stderr", @@ -610,8 +694,10 @@ }, { "data": { - "text/plain": "
", - "image/png": 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" + "image/png": 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", + "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -626,32 +712,34 @@ "\n", "assert abs(nsga2.evaluator.n_eval - 1100) < 10 # 200 from DoE + 9*100 from optimization\n", "plot(problem.pareto_front(), result.opt.get('F'), labels=['Known Pareto front', 'NSGA2 (10 gen)'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:25:19.610290500Z", - "start_time": "2023-07-24T08:25:19.370294800Z" - } - } + ] }, { "cell_type": "code", "execution_count": 26, - "outputs": [], - "source": [ - "td.cleanup()" - ], "metadata": { - "collapsed": false, "ExecuteTime": { "end_time": "2023-07-24T08:25:24.308731200Z", "start_time": "2023-07-24T08:25:24.290445300Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false } - } + }, + "outputs": [], + "source": [ + "td.cleanup()" + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "# Surrogate-Based Architecture Optimization\n", "\n", @@ -662,30 +750,40 @@ "```\n", "pip install sb-arch-opt[arch_sbo]\n", "```" - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 27, - "outputs": [], - "source": [ - "td_sbo = tempfile.TemporaryDirectory()\n", - "results_folder = td_sbo.name" - ], "metadata": { - "collapsed": false, "ExecuteTime": { "end_time": "2023-07-24T08:25:27.230742Z", "start_time": "2023-07-24T08:25:27.221745400Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false } - } + }, + "outputs": [], + "source": [ + "td_sbo = tempfile.TemporaryDirectory()\n", + "results_folder = td_sbo.name" + ] }, { "cell_type": "code", "execution_count": 30, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:27:47.775365500Z", + "start_time": "2023-07-24T08:26:55.513960800Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stderr", @@ -751,23 +849,28 @@ "sbo_algo = get_arch_sbo_gp(problem, init_size=n_doe, results_folder=results_folder)\n", "\n", "result = minimize(problem, sbo_algo, termination=('n_eval', n_doe+n_infill), seed=1)" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:27:47.775365500Z", - "start_time": "2023-07-24T08:26:55.513960800Z" - } - } + ] }, { "cell_type": "code", "execution_count": 31, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:27:53.754160400Z", + "start_time": "2023-07-24T08:27:53.648059300Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "data": { - "text/plain": "
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" 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", + "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -775,28 +878,34 @@ ], "source": [ "plot(problem.pareto_front(), result.opt.get('F'), labels=['Known Pareto front', 'SBO (10+20)'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:27:53.754160400Z", - "start_time": "2023-07-24T08:27:53.648059300Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "As can be seen, the results are not quite near the Pareto front yet.\n", "Let's add some more infill points." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 32, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:30:02.019359600Z", + "start_time": "2023-07-24T08:28:08.339047Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stderr", @@ -886,23 +995,28 @@ "sbo_algo = get_arch_sbo_gp(problem, init_size=n_doe, results_folder=results_folder)\n", "sbo_algo.initialize_from_previous_results(problem, results_folder)\n", "result2 = minimize(problem, sbo_algo, termination=('n_eval', n_doe+n_infill), seed=1)" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:30:02.019359600Z", - "start_time": "2023-07-24T08:28:08.339047Z" - } - } + ] }, { "cell_type": "code", "execution_count": 33, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:30:08.449440Z", + "start_time": "2023-07-24T08:30:08.333444300Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "data": { - "text/plain": "
", - "image/png": 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" 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+ "text/plain": [ + "
" + ] }, "metadata": {}, "output_type": "display_data" @@ -910,41 +1024,46 @@ ], "source": [ "plot(problem.pareto_front(), result.opt.get('F'), result2.opt.get('F'), labels=['Known Pareto front', 'SBO (10+20)', 'SBO (10+50)'])" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:30:08.449440Z", - "start_time": "2023-07-24T08:30:08.333444300Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "As you can see, already a good approximation of the Pareto front is achieved after only 60 evaluations, compared to 1000 evaluations for NSGA2 for a similar performance." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 34, - "outputs": [], - "source": [ - "td_sbo.cleanup()" - ], "metadata": { - "collapsed": false, "ExecuteTime": { "end_time": "2023-07-24T08:30:14.408715Z", "start_time": "2023-07-24T08:30:14.391150900Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false } - } + }, + "outputs": [], + "source": [ + "td_sbo.cleanup()" + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "# Implementing an Architecture Optimization Problem\n", "\n", @@ -961,14 +1080,21 @@ "- The categorical variables select which continuous variables are used for the calculation\n", "\n", "We base our implementation on the one found in [Ax (BoTorch)](https://github.com/facebook/Ax/blob/main/ax/metrics/jenatton.py#L26)." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 35, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:30:18.942263Z", + "start_time": "2023-07-24T08:30:18.938265700Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stdout", @@ -1085,18 +1211,21 @@ " return f'{self.__class__.__name__}()'\n", "\n", "JenattonImplicit().print_stats()" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:30:18.942263Z", - "start_time": "2023-07-24T08:30:18.938265700Z" - } - } + ] }, { "cell_type": "code", "execution_count": 39, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:30:39.030191200Z", + "start_time": "2023-07-24T08:30:38.831191600Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stdout", @@ -1113,29 +1242,35 @@ "result_impl = minimize(JenattonImplicit(), get_nsga2(pop_size=50), termination=('n_gen', 20), seed=42)\n", "print(f'Optimum: {result_impl.opt.get(\"F\")}')\n", "print(f'At X = {result_impl.opt.get(\"X\")}')" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:30:39.030191200Z", - "start_time": "2023-07-24T08:30:38.831191600Z" - } - } + ] }, { "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "source": [ "The explicit design space definition uses the `ExplicitArchDesignSpace` class and a dedicated set of design variable definition classes.\n", "\n", "Under the hood, it uses [ConfigSpace](https://automl.github.io/ConfigSpace/), so all its powerful condition and forbidden-clause modeling functionalities can be used." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", "execution_count": 40, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:30:42.017086900Z", + "start_time": "2023-07-24T08:30:42.004483700Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stdout", @@ -1210,18 +1345,21 @@ "\n", "# Note how the problem definition is exactly the same as the implicit definition\n", "JenattonExplicit().print_stats()" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:30:42.017086900Z", - "start_time": "2023-07-24T08:30:42.004483700Z" - } - } + ] }, { "cell_type": "code", "execution_count": 44, + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-24T08:30:53.844875300Z", + "start_time": "2023-07-24T08:30:53.355316200Z" + }, + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, "outputs": [ { "name": "stdout", @@ -1238,35 +1376,28 @@ "result_expl = minimize(JenattonExplicit(), get_nsga2(pop_size=50), termination=('n_gen', 20), seed=42)\n", "print(f'Optimum: {result_expl.opt.get(\"F\")}; implicit: {result_impl.opt.get(\"F\")}; difference = {result_expl.opt.get(\"F\")-result_impl.opt.get(\"F\")}')\n", "print(f'At X = {result_expl.opt.get(\"X\")}')" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-24T08:30:53.844875300Z", - "start_time": "2023-07-24T08:30:53.355316200Z" - } - } + ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.6" + "pygments_lexer": "ipython3", + "version": "3.9.18" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 4 } diff --git a/mkdocs.yml b/mkdocs.yml index ffc1dc4..1a08fc5 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -2,10 +2,19 @@ site_name: SBArchOpt site_url: https://sbarchopt.readthedocs.io/ repo_url: https://github.com/jbussemaker/SBArchOpt docs_dir: docs +copyright: © 2024, Deutsches Zentrum für Luft- und Raumfahrt e.V. theme: name: material + logo: icon.png + favicon: icon.png + palette: + scheme: default + primary: custom features: - navigation.tabs + custom_dir: docs/overrides +extra_css: + - style.css nav: - 'Overview': index.md diff --git a/requirements-hebo.txt b/requirements-hebo.txt deleted file mode 100644 index 65aac14..0000000 --- a/requirements-hebo.txt +++ /dev/null @@ -1 +0,0 @@ -git+https://github.com/huawei-noah/HEBO@f050865fd2f554b5ca94642667257b365c753f29#subdirectory=HEBO \ No newline at end of file diff --git a/sb_arch_opt/__init__.py b/sb_arch_opt/__init__.py index 51ed7c4..c3b3841 100644 --- a/sb_arch_opt/__init__.py +++ b/sb_arch_opt/__init__.py @@ -1 +1 @@ -__version__ = '1.5.1' +__version__ = '1.5.2' diff --git a/sb_arch_opt/algo/pymoo_interface/storage_restart.py b/sb_arch_opt/algo/pymoo_interface/storage_restart.py index a2390f8..cf9da67 100644 --- a/sb_arch_opt/algo/pymoo_interface/storage_restart.py +++ b/sb_arch_opt/algo/pymoo_interface/storage_restart.py @@ -206,6 +206,10 @@ def initialize_cumulative(self, cumulative_pop: Population): self._cumulative_pop = cumulative_pop self.n_eval = len(self._get_idx_evaluated(cumulative_pop)) + @property + def cumulative_pop(self) -> Optional[Population]: + return self._cumulative_pop + def eval(self, problem, pop: Population, skip_already_evaluated: bool = None, evaluate_values_of: list = None, count_evals: bool = True, **kwargs): @@ -249,6 +253,7 @@ def eval_post(self, problem, pop, advance_n_eval=True, evaluate_values_of: list self._apply_extreme_barrier(pop, evaluate_values_of=evaluate_values_of) # Post-evaluation storage + self._update_cumulative_pop(pop) if self.results_folder is not None: self._store_intermediate(problem, pop) self._non_eval_cumulative_pop = None @@ -304,6 +309,7 @@ def eval_batch_post(self, problem, pop: Population, batch_pop: Population, evalu self._apply_extreme_barrier(batch_pop, evaluate_values_of=evaluate_values_of) intermediate_pop = self._normalize_pop(pop, evaluate_values_of, evaluated_pop=self._evaluated_pop) + self._update_cumulative_pop(intermediate_pop) if self.results_folder is not None: self._store_intermediate(problem, intermediate_pop) return intermediate_pop @@ -348,16 +354,18 @@ def _normalize_pop(pop: Population, evaluate_values_of, evaluated_pop: Populatio normalized_pop = Population.merge(evaluated_pop, normalized_pop) return normalized_pop - def _store_intermediate(self, problem, pop: Population): - # Store pymoo population - self.store_pop(pop) - - # Store cumulative pymoo population + def _update_cumulative_pop(self, pop: Population): if self._non_eval_cumulative_pop is not None: unique_non_eval_pop = LargeDuplicateElimination().do(self._non_eval_cumulative_pop, pop, to_itself=False) self._cumulative_pop = Population.merge(unique_non_eval_pop, pop) else: self._cumulative_pop = pop + + def _store_intermediate(self, problem, pop: Population): + # Store pymoo population + self.store_pop(pop) + + # Store cumulative pymoo population self.store_pop(self._cumulative_pop, cumulative=True) # Store problem-specific results diff --git a/sb_arch_opt/tests/algo/test_hebo.py b/sb_arch_opt/tests/algo/test_hebo.py index a7ed514..42abbdb 100644 --- a/sb_arch_opt/tests/algo/test_hebo.py +++ b/sb_arch_opt/tests/algo/test_hebo.py @@ -10,9 +10,9 @@ def check_dependency(): return pytest.mark.skipif(not HAS_HEBO, reason='HEBO dependencies not installed') -@pytest.mark.skipif(int(os.getenv('RUN_SLOW_TESTS', 0)) != 1, reason='Set RUN_SLOW_TESTS=1 to run slow tests') -def test_slow_tests(): - assert HAS_HEBO +# @pytest.mark.skipif(int(os.getenv('RUN_SLOW_TESTS', 0)) != 1, reason='Set RUN_SLOW_TESTS=1 to run slow tests') +# def test_slow_tests(): +# assert HAS_HEBO @check_dependency() diff --git a/sb_arch_opt/tests/test_tutorials.py b/sb_arch_opt/tests/test_tutorials.py index 7d7cc74..1c479f8 100644 --- a/sb_arch_opt/tests/test_tutorials.py +++ b/sb_arch_opt/tests/test_tutorials.py @@ -1,15 +1,30 @@ import os import pytest import testbook +from testbook.client import TestbookNotebookClient _docs_path = f'{os.path.dirname(__file__)}/../../docs' _t = 60*20 @pytest.mark.skipif(int(os.getenv('RUN_SLOW_TESTS', 0)) != 1, reason='Set RUN_SLOW_TESTS=1 to run slow tests') -@testbook.testbook(f'{_docs_path}/tutorial.ipynb', execute=True, timeout=_t) -def test_tutorial(tb): - pass +@testbook.testbook(f'{_docs_path}/tutorial.ipynb', execute=False, timeout=_t) +def test_tutorial(tb: TestbookNotebookClient): + code_cells = [] + for cell in tb.cells: + if cell.cell_type == 'code': + code_cells.append(cell) + + # Set less infills to reduce testing time + sbo_example_cell = code_cells[1] + code = sbo_example_cell.source.split('\n') + for i, line in enumerate(code): + if line.startswith('n_infill'): + code[i] = 'n_infill = 2' + break + sbo_example_cell.source = '\n'.join(code) + + tb.execute() @pytest.mark.skipif(int(os.getenv('RUN_SLOW_TESTS', 0)) != 1, reason='Set RUN_SLOW_TESTS=1 to run slow tests') diff --git a/setup.py b/setup.py index e6018a1..4dd07e2 100644 --- a/setup.py +++ b/setup.py @@ -51,7 +51,7 @@ def _get_readme(): ], license='MIT', install_requires=[ - 'numpy', + 'numpy<2.0', 'pymoo~=0.6.1', 'scipy', 'deprecated', @@ -85,9 +85,9 @@ def _get_readme(): 'tpe': [ 'tpe==0.0.8', ], - # 'hebo': [ # pip install -r requirements-hebo.txt - # 'HEBO', # Disabled until commit f050865fd2f554b5ca94642667257b365c753f29 has been released on PyPI - # ], + 'hebo': [ + 'HEBO', + ], 'rocket': [ 'ambiance', ],