From 4f0aa25f4f852e9af69b9072ba54f0d998f3b8f1 Mon Sep 17 00:00:00 2001 From: Andrea Santamaria Garcia Date: Mon, 4 Mar 2024 20:07:32 +0900 Subject: [PATCH] Fixes for tutorial --- README.md | 17 ++-- requirements.txt | 17 ++-- tutorial.ipynb | 241 ++++++++++++++++++++++++++++++++++++++++------- 3 files changed, 223 insertions(+), 52 deletions(-) diff --git a/README.md b/README.md index a8e24bd..4bbca20 100644 --- a/README.md +++ b/README.md @@ -60,6 +60,12 @@ cd rl-tutorial-ares-basic You need to install the dependencies before running the notebooks. +### Install `ffmpeg` +Please also run these commands to install `ffmpeg`: +- OS X: `brew install ffmpeg` +- Ubuntu: `sudo apt-get install ffmpeg` +- With pip: `pip install imageio-ffmpeg` + ### Using conda If you don't have conda installed already and want to use conda for environment management, you can install the miniconda as [described here](https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.html). @@ -69,12 +75,6 @@ If you don't have conda installed already and want to use conda for environment - Install the required packages via `pip install -r requirements.txt`. - Additional installation steps: -Please also run these commands to install `ffmpeg`: -- OS X: `brew install ffmpeg` -- Ubuntu: `sudo apt-get install ffmpeg` -- With pip: `pip install imageio-ffmpeg` - -Finally, install the notebook extensions if you want to see them in slide mode: ```bash python -m jupyter contrib nbextension install --user python -m jupyter nbextension enable varInspector/main @@ -100,11 +100,6 @@ Then, install the packages with pip within the activated environment python -m pip install -r requirements.txt ``` -Please also run these commands to install `ffmpeg`: -- OS X: `brew install ffmpeg` -- Ubuntu: `sudo apt-get install ffmpeg` -- With pip: `pip install imageio-ffmpeg` - Finally, install the notebook extensions if you want to see them in slide mode: ```bash python -m jupyter contrib nbextension install --user diff --git a/requirements.txt b/requirements.txt index 9b6cf5e..91e49c1 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,18 +1,21 @@ cheetah-accelerator gymnasium -imageio==2.4.1 +gym +imageio==2.5 ipywidgets +ipython +ipywidgets +jupyter_contrib_nbextensions matplotlib -moviepy +moviepy==1.0.3 names +notebook==6.4.12 opencv-python seaborn pyyaml -stable-baselines3 -notebook==6.4.12 -jupyter_contrib_nbextensions +requests RISE +shimmy +stable-baselines3 traitlets==5.9.0 -ipython -ipywidgets diff --git a/tutorial.ipynb b/tutorial.ipynb index 612b8aa..0a02cda 100644 --- a/tutorial.ipynb +++ b/tutorial.ipynb @@ -32,6 +32,112 @@ "- Part IV: Training an RL agent\n" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Download the repository\n", + "\n", + "Once you have Git installed open your terminal, go to your desired directory, and type:\n", + "\n", + "``` bash\n", + "git clone https://github.com/RL4AA/rl-tutorial-ares-basic.git\n", + "```\n", + "\n", + "Then enter the downloaded repository:\n", + "``` bash\n", + "cd rl-tutorial-ares-basic\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Install dependencies\n", + "\n", + "You need to install the dependencies before running the notebooks.\n", + "\n", + "## Install `ffmpeg`\n", + "Please also run these commands to install `ffmpeg`:\n", + "- OS X: `brew install ffmpeg`\n", + "- Ubuntu: `sudo apt-get install ffmpeg`" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Install dependencies\n", + "\n", + "You need to install the dependencies before running the notebooks.\n", + "\n", + "## Using conda\n", + "\n", + "If you don't have conda installed already and want to use conda for environment management, you can install the miniconda as [described here](https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.html).\n", + "\n", + "- Create a conda env with `conda create -n rl-icfa python=3.10`\n", + "- Activate the environment with `conda activate rl-icfa`\n", + "- Install the required packages via `pip install -r requirements.txt`.\n", + "- Additional installation steps:\n", + "\n", + "```bash\n", + "python -m jupyter contrib nbextension install --user\n", + "python -m jupyter nbextension enable varInspector/main\n", + "```\n", + "\n", + "- **After the tutorial** you can remove your environment with `conda remove -n rl-icfa --all`" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Install dependencies\n", + "\n", + "You need to install the dependencies before running the notebooks.\n", + "\n", + "## Using venv only\n", + "\n", + "If you do not have conda installed:\n", + "\n", + "Alternatively, you can create the virtual env with `venv` in the standard library\n", + "\n", + "```bash\n", + "python -m venv rl-icfa\n", + "```\n", + "\n", + "and activate the env with $ source /bin/activate (bash) or C:> /Scripts/activate.bat (Windows)\n", + "\n", + "Then, install the packages with pip within the activated environment\n", + "\n", + "```bash\n", + "python -m pip install -r requirements.txt\n", + "```\n", + "\n", + "Finally, install the notebook extensions if you want to see them in slide mode:\n", + "```bash\n", + "python -m jupyter contrib nbextension install --user\n", + "python -m jupyter nbextension enable varInspector/main\n", + "```" + ] + }, { "cell_type": "markdown", "metadata": { @@ -411,7 +517,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 1, "metadata": { "slideshow": { "slide_type": "slide" @@ -503,7 +609,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -570,7 +676,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 6, @@ -802,7 +908,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "slide" @@ -811,7 +917,7 @@ "outputs": [ { "data": { - "image/png": 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AAEBkZCROnjyJP/3pT3j22WdRV1eH8vJyh7PDkpISBAcHAwCCg4Nx4sQJh/eztza11yEiInrY7vs5Q5vNBpPJhMjISLi5uSExMVGel5OTg4KCAuh0OgCATqdDVlYWSktL5ToJCQnQaDQYPnz4/YZCRETUNq1pOfr++++L1NRUkZeXJ86ePSvef/99IUmS2L9/vxBCiBUrVojQ0FCRlJQk0tPThU6nEzqdTn69xWIRI0eOFDNnzhSZmZkiPj5eBAQEiNWrV7cmDGEwGDq8dRILCwsLS9coLWlN2qpk+PLLL4uwsDDh7u4uAgICxPTp0+VEKIQQNTU14vXXXxd+fn7Cy8tLLFq0SBQXFzu8x7Vr18ScOXOEp6en6NWrl3jnnXeE2WxuTRhMhiwsLCwsLS4tSYaSEEKgizEajdBqtR0dBhERdQEGgwEajabJOuyblIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFI/JkIiIFO++kuHvfvc7SJKEN998U55WW1uLlStXomfPnvD29saSJUtQUlLi8LqCggLExsbCy8sLgYGBePfdd2GxWO4nFCIiojZrczI8efIkPv/8c4wePdph+ltvvYXdu3dj69atSE1NxY0bN7B48WJ5vtVqRWxsLOrq6nD06FF888032LhxIz788MO2LwUREdH9EG1QUVEhBg0aJBISEsS0adPEG2+8IYQQory8XLi5uYmtW7fKdS9cuCAAiLS0NCGEEHv27BEqlUro9Xq5ztq1a4VGoxEmk6lFn28wGAQAFhYWFhaWZovBYGg2r7TpzHDlypWIjY1FTEyMw/SMjAyYzWaH6UOHDkVoaCjS0tIAAGlpaRg1ahSCgoLkOrNmzYLRaER2drbTzzOZTDAajQ6FiIiovbi29gWbN2/GqVOncPLkyQbz9Ho93N3d4evr6zA9KCgIer1ernN3IrTPt89zZs2aNfj1r3/d2lCJiIhapFVnhoWFhXjjjTewadMmeHh4PKiYGli9ejUMBoNcCgsLH9pnExFR99eqZJiRkYHS0lKMHz8erq6ucHV1RWpqKj799FO4uroiKCgIdXV1KC8vd3hdSUkJgoODAQDBwcENWpfa/7bXuZdarYZGo3EoRERE7aVVyXD69OnIyspCZmamXKKiorBs2TL5/25ubkhMTJRfk5OTg4KCAuh0OgCATqdDVlYWSktL5ToJCQnQaDQYPnx4Oy0WERFRK7SiEalTd7cmFUKIFStWiNDQUJGUlCTS09OFTqcTOp1Onm+xWMTIkSPFzJkzRWZmpoiPjxcBAQFi9erVLf5MtiZlYWFhYWlpaUlr0lY3oGnOf//3f0OlUmHJkiUwmUyYNWsW/vrXv8rzXVxcEBcXh9deew06nQ49evTA8uXL8fHHH7d3KERERC0iCSFERwfRWkajEVqttqPDICKiLsBgMDTb1oR9kxIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeIxGRIRkeK1Khn+x3/8ByRJcihDhw6V59fW1mLlypXo2bMnvL29sWTJEpSUlDi8R0FBAWJjY+Hl5YXAwEC8++67sFgs7bM0REREbeDa2heMGDECBw4c+L83cP2/t3jrrbfwww8/YOvWrdBqtVi1ahUWL16MI0eOAACsVitiY2MRHByMo0ePori4GC+++CLc3NzwySeftMPiEBERtYFohY8++kiMGTPG6bzy8nLh5uYmtm7dKk+7cOGCACDS0tKEEELs2bNHqFQqodfr5Tpr164VGo1GmEymFsdhMBgEABYWFhYWlmaLwWBoNq+0+p7h5cuXERISgv79+2PZsmUoKCgAAGRkZMBsNiMmJkauO3ToUISGhiItLQ0AkJaWhlGjRiEoKEiuM2vWLBiNRmRnZzf6mSaTCUaj0aEQERG1l1Ylw+joaGzcuBHx8fFYu3Yt8vLy8Mgjj6CiogJ6vR7u7u7w9fV1eE1QUBD0ej0AQK/XOyRC+3z7vMasWbMGWq1WLv369WtN2ERERE1q1T3DOXPmyP8fPXo0oqOjERYWhi1btsDT07Pdg7NbvXo13n77bflvo9HIhEhERO3mvh6t8PX1xeDBg5Gbm4vg4GDU1dWhvLzcoU5JSQmCg4MBAMHBwQ1al9r/ttdxRq1WQ6PROBQiIqL20urWpHerrKzElStX8KMf/QiRkZFwc3NDYmIilixZAgDIyclBQUEBdDodAECn0+G3v/0tSktLERgYCABISEiARqPB8OHDW/35EyZMcGjNSkREZGexWHDy5MkW1ZWEEKKlb/zv//7vmD9/PsLCwnDjxg189NFHyMzMxPnz5xEQEIDXXnsNe/bswcaNG6HRaPDzn/8cAHD06FEA9Y9WjB07FiEhIfj9738PvV6PH/3oR/jpT3/aqkcrjEYjtFotysvLeZZIREROGY1G+Pr6wmAwNJsrWnVadf36dSxduhS3b99GQEAApk6dimPHjiEgIAAA8N///d9QqVRYsmQJTCYTZs2ahb/+9a/y611cXBAXF4fXXnsNOp0OPXr0wPLly/Hxxx+3YTEhP/hPRER0r9bkh1adGXYW9jPDlmR7IiJSptbkCvZNSkREisdkSEREisdkSEREitftn0soLy/H4cOHkZubCwCYNm0axo4d2+iN1StXrsBgMGD8+PEPM0zZrVu3kJycjKKiIgBA79698cQTT8iNlJpjs9mQlJSECRMmQKvVNphfU1ODzMxMHD9+HK6urpg5cyYGDBgAFxeXdl0OADCbzcjJyUFSUhJsNhsCAwOxZMkSqNVqh3oWiwWXLl3CgQMHYLPZ0KtXLzz11FPw8PBo95iaU1JSgoSEBNy+fRtPPPEEhg4dCjc3tyZfY7FYsHbtWlitVofps2bNwrBhw+S/hRC4fv064uPjYTabMWvWLEREREClejDHpKWlpUhMTERJSQkkScL8+fPRv39/AMDhw4cRGRnptLMMi8WCQ4cO4fHHH2/T55rNZpw/fx4pKSkQQmDatGkYMWIE3N3dm3ydEAI3btxAfHw8KioqMHjwYEyePLlBr1b3bsMzZszAwIEDH8g23Fa1tbU4c+aM3BXlgAEDMGfOnAaPgu3cuRN5eXny30IImM1mrFq1Cl5eXg81ZqB+/5GQkICpU6eiR48eDebfvQ1XVVVh2LBh0Ol0zd6Ps1qtyM3NRUJCAiwWC6KjozF27FiH7a+urg7/+7//i8rKSodpQUFBePHFFx98Y8kW947didg76m6u89Xi4mKxYcMGcebMGVFVVSWqqqrE3r17RUZGhtP6+fn54pNPPhHffffdgwi7WSaTSfzmN78RFy9elOO9dOmS+Pjjj1vUkbnNZhOpqalixYoVoqioyOn8L7/8UiQlJYmqqiphMBjE999/L+Lj49t9Wcxms9i5c6fYuXOnqKioEFVVVSIvL09s3rxZ1NTUONTduXOn+Oc//ynXy8/PFxs3bmz3mJpz7tw5sWHDBpGfny8qKirErl27xI4dO0RdXV2TrzOZTGLNmjXyd2YvZrNZrmOz2cTRo0fF3/72N1FaWiru3LkjNm/eLBITE4XVam33ZcnJyRHr168XV69eFVVVVaKyslJs3bpV5ObmCiGESEtLE4mJiU5fe+LECbFv3742f/aWLVvE7t27RWVlpaisrBQ//PBDi35TZ8+eFZ9//rnQ6/WiqqpKnD59Wnz66aeiurparmOz2cRXX33lsA1v2bJF7N27t83xtrfq6mrx3XffiYSEBHlbOHv2rIiLi3PYJoQQora21mGbuXr1qli3bp2w2WwPPW6r1SoOHDggXn31VXHr1i2ndU6dOiW++uorUVpaKqqqqkRqaqr44osvmt2G4+Pjxffffy8MBoOoqqoSSUlJ4ssvv3RYTpvNJqqrqx3Wx/79+8WBAwfavD5amiuEaENH3V2F1WpFXFwc5s+fj9GjR8PLywteXl6YOXMmDh065HD0AQBHjhzBoUOHsGDBggd2pN6coqIi9O/fH4MHD5bjHThwIIYOHYr8/PwmX2uz2fDNN9/AxcUFEydOdFonJycHfn5+ePzxx+Hl5QWNRoMFCxbgypUrqKqqatdluXz5MqxWK+bPnw9vb294eXkhLCwMwcHBSE9Pl+sZDAYUFxc71OvXrx/c3NwcjpgftJqaGhw4cAAvvvgiQkND4e3tjXnz5qG8vBylpaVNvtZgMKBnz57yd2Yvd58FGI1GnDp1CsuWLUNAQAB8fX3xzDPP4MyZMzCZTO26LCaTCfHx8XjhhRcQEREBLy8v9OjRA/PmzcOePXtQV1eHMWPG4MKFCw0+22az4cSJE5g0aVKbPru0tBRGoxFz585Fjx490KNHD8yZMwcmkwk3btxo9HVCCBw+fBhPPfUUgoKC4OXlhbFjxyI6OloeAg6o34a1Wm2DbTgvL6/dt+G2OnbsGMLCwjB9+nR5Wxg5ciSqq6tx7do1h7pqtVquU1NTg6NHj2LZsmUP/ZExq9WKDRs2QKPRYOzYsU7rCCFw9OhRPPXUUwgICICXlxceeeQRTJs2DTabrdH3rqqqwpUrV7Bw4UJoNBp4eXnh8ccfh5+fH3JycuR6kiTB09NTXh/Xrl1DTU0NHnvssYeyPrptMrx+/To8PDzQs2dPh+kqlQpTpkzB4cOHHabrdDosXbq02UtiD5JarUZ5eTlu374NIQTEv556MZlMzV4ylCQJL774IiZPntxonStXrmDAgAENPtPf379BN3n3w2w2Izk5GTNmzHDYiCVJwtSpU5GRkYGamhoAgIeHR4PLR5Ikwc/PD3fu3Gm3mJpz5coVhIeHOxwISZKEyZMny51GNObgwYOYMmUKMjIycOTIEaSnpze4ZHrs2DFER0c3WB+TJk2SL6W1l7Nnzzq9vKtWq7Fo0SJYrVZ4enpCo9E0SPR37tyBi4tLmx9ZKiwsRJ8+fRqsx9DQ0CYP6IxGI6xWK/z9/R2m9+/fH9euXZN3tlevXpUv9dq5u7vD39+/yc7+H5aqqiqcPXsWkyZNavBdz5w5E4mJiU4HMxdCID4+HlOnToW3t/fDDBlA/X7x5ZdfRlRUVKOJp7y8HJIkQavVyvsnSZIwePDgJnsCKykpgb+/f4PL5P3798eVK1ecvqa2thYHDhzAnDlzHtrl7257z/DgwYONHlFERkZizZo1mD17tjytubNBq9WK48ePo7q6utE6kiRh4sSJ8PHxaVPMvXv3xmOPPYYNGzYgOzsbU6dORW5uLp566in07du3yde2pAOCM2fOYO7cuQ2mT5s2DXv37m2wk2kro9EIFxcXp/ccVCoV+vTpg4KCAgwZMgRqtRqhoaEOdcrKynDr1i1MnTpVnnbt2jX5vm9j+vbti6FDh7Yp5h49ejg9sxBCNHtWbrVasX79esyYMQNqtRqVlZX485//jKeffhohISGQJAn+/v4oKytr8Nrmzpja4tChQ3jttdcabA+SJDlsR48++igOHjyI559/HpIkQQiB48ePIzo6Wq6Tl5fX6A7L7u71fujQIbzyyisN6kyZMgV//vOf5a4Z75WZmen0jKRnz56oqKiAyWSCp6cnMjMzsXr16gb1pk2bhh9++KHBwd7DdvXqVURERDj9LWo0GlgsFlRVVTW4n3/p0iUcPHgQBQUFmD9/PkaMGCG/x7lz55pN9EOGDLmvwQtasv84efIkIiMjcfToUaSlpcFisWDChAl45JFHmjyJSElJcRjkwW7s2LHYu3cvYmNjG8zbt28frly5gs8++0y+mvKgddtkKNq5LwFJktCjR48mj1IkSXKYb7PZmrx8ANQnh7sTscFgQI8ePfD6668DqL+BXFdXd5/R12tsnTyoSxDO3re5zxJCICUlBVFRUQ4HFe7u7s0eZNzdMEcI0eDszBkXFxdIkoSIiAgkJSVBr9fLncZbLBbs2bOnwSX1e8XExGD+/PkOjQGmTZuGzz//HCtXroSrqysiIyOxdu1aTJw4Ud4RVldXIy4uDqNGjWo2zgchODgYt2/fhtlshru7O4QQuHz5MqZNmybXacl6f5ANnbpqD1Ot3faHDBmCzz//HFarFV9//TV69+4tX9Xy9PRs9ju4+6yrJdu+JElQqVStXr979uzBY489Jm/XJ0+exM6dO7Fw4cImzw4b+5zG9kkLFizAggULUFVVha+++go///nPH/jtq26bDNubSqXCmDFjWvWatLS0Bpdj7zV+/HjMmDEDQP0lpitXruD111+XN56JEydi8+bNCAkJQURERNuC7yLsLWGdneGFhIQgJCSkxe9lNBqxfv16mM3mRut4eXnhpz/9qZzEli5dis2bN8PNzQ1qtRrFxcWYNm1as9/hvZf2gPoEMWHCBLlVpkqlwvPPP4+///3v0Gq1UKlUuHnzJpYsWdLgPtLDolarodPpkJKSgpkzZ+LkyZMYPny4wxl9nz590KdPnw6JT4lcXFwwY8YMxMfHY9myZQDqW6K25oy3qKgImzZtarJOYGAgli9f3qpkKISAzWZzaGWs0+mwbds2XLlyBUOGDGnxe7VUjx49MHToUGRkZGDChAnt/v5367bJsH///sjLy3N66aCoqKhVO1ag/lLY7t27UVFR0WgdSZIQGxsLPz8/APWXhqZMmdLiz4iPj8eiRYsa3GuYNWsWtmzZghUrVrQq5nuFhISguLi4wbI7uw9zPzw8PGCz2VBXV9fgPoHNZpM7z713enJyMrRardP7FufOncPp06eb/NzBgwfLl/i0Wq3DGJgt4eXlhZdeeglFRUWoqanBggULkJOT0+aDEB8fH9y6dUv+28/PD6+++ioKCgpgtVoRHh6O1NRUhIeHt+n9GxMeHo5r1645PNZhZzab4eLiIh9l9+vXD1lZWbDZbLh69arDJVKg/v7jmTNnmvy8IUOGyI227J997yg0+fn5CAsLa/Q9evfu7fRzqqqqoFar5SsuvXv3xo0bNxok6Ly8vHbdhtvK398fGRkZ8v20u9XW1kKSpGYfMdFoNDAajfLfhw8fbrYx2YQJE+QDyL59++K9995r4xI0TpIkPPnkkw2mR0ZGIi0trdFk2L9/f1y9erXBMH3O9kXOeHt7N3t1pj1022Q4duxYfP3115g6dSpUKhXKy8tRXFyMoUOH4vz5860eMkqlUiE6OtrpzW87+6XUtqqqqnJ687yx+1mtNXToUFy4cMFhA7TZbMjMzJSPQtuD/XKy0WhEr169AADp6ekYM2YMrFYrysvLERQUJNe3Wq1ITk6Gr68vIiMjnR6thoaGOn1u8m732/CgpqYGHh4e8n01IQROnTqFmTNnNvoam82GkydPNkgiQP1Bhv2IXgiB2tpaeHp6ysnPZrPh7NmzePXVV+8r7nuNGzcOaWlpGDp0qMO6FEJgx44deOSRRxzGGL1z5w6qq6tRUFCA5557zuG9wsPD5YO7xty93sePH4+DBw9i2LBh8mcLIZCZmYlx48Y1+h6DBg3C9u3bYbFYHC633bx5E76+vnICGTZsGC5cuOCQDG02G06fPo3nn3++uVXzwPXp0we3bt1CXV0d1Go1bDYbMjIyMH78eJSXl8PDw0O+EnHs2DFMnDixweW/S5cuYfDgwfLfw4YNa/JAAkCz31F7CA8Px5kzZxqcoeXm5mLQoEGNvm7cuHHYtGkTJk2a5LCsFy5ckBO4xWLB6dOnnZ79FRYWPvCzQqAbtybt0aMHoqKikJqaKieZq1evIjExERUVFU3+MJ2RJAm9e/dGv379Gi19+/Zt9qivKSNHjkRmZqbc0hL4v4d3R4wYIU/T6/Xy0WdrREZG4uzZs3IrTZvNhry8vBbdk2itJUuWYP/+/dDr9RBCwN/fHzt37sTOnTvx9NNPy/VakgiB+qPlptZ9v3797nuH8M033zi05C0uLkZNTY1D4rZYLEhNTXX4jnJycpCbmysfKNkfMDYYDPJBlxACGzZskAe/ttlsuHjxIoKCgtr9nltoaCj8/PyQkZGB2tpa+fNPnz4NX1/fBo0RnnjiCfzlL3/BxIkTG6z/1q73Pn36wGAwoKSkRF6PN2/eRElJicMZdklJSYNt2J7E7euxsrIS+/fvdzgYiYyMRFZWlsM2fO3aNbl1bGfw1FNPYefOnSgrK4MkSXB1dcXevXuRmJiIRYsWyfX0er3DozX2be78+fMOB1c9e/Zs9jt4GC1QBw0aBJPJhEuXLsFiscBmsyE/Px/Xr193aPx08eJFh8ZuPj4+8PT0RF5entyG4s6dOzh79iwiIyPlZc/OznZoOWyxWHDx4kXYbLaHctbfrUetsLeOO336NEwmE6xWK1QqFR577LFGk+G1a9dw7tw5zJs370GF3yibzYaUlBRcuHBBvtfl5uaGIUOG4PHHH5cvFaWlpSE3NxfPP/+80wY927Ztw6OPPioPoGwnhEBeXh4OHDiA6upquZXjk08+2exZV1vcvn0bu3btgsFgAFCfJIKDg/H000/LBw3JycnYtGmTQ+s5u0GDBjltafagFBUVYe/evfIlGa1Wi/nz58tnt0B9A6f//d//xYIFC+RWsCaTCbt27UJxcTFsNhtUKhWCg4Px5JNPyolOCIFLly4hJSUFNTU1kCQJAQEBWLBgwX1dTWiM1WpFYmKivOMCgOHDh2P69OkNthmr1Yp169bhlVdeaZdHi0pLSxEXFydf6vPx8cHcuXPRu3dvuU5aWhouX76MZcuWyfGYzWbExcWhsLAQNpsNarUaUVFRDpfN792Ggfpk8aC24bbKz8/H/v37UVVVJR8UDBo0CHPnzpWX12q1Yv/+/bhy5Yr8Hfn6+uLJJ590eh/6Yfnuu+8wd+7cBrcygPoGfbt370ZRURGEEAgICMCTTz4pJ2MhBHbu3Ak3NzeH367BYMCuXbtw+/ZtAPW3JGJiYhxa3lZVVWHnzp24efMmhBBQqVTo168f5s2b1+btsjWjVnTrZGhXV1cnb2xubm7Yt28fxo0b57RhgL0FaFMtox40e+IG6m+o39t9WXMxWiwWuZVkY/Pr6uogSRLUavUDbaVls9nksxMXFxfcuHEDly5dwqxZswDU7wAba+TibNkfNKvVKh+pe3h4OF03ZrMZrq6uDS5B1tbWyveKPDw8nK7/u9d9Y3Xa093bUmPLAzhfpvtx9/d+9z2/u+c724aFEDCZTLDZbHBzc2t0J9iS76mj3R2jq6srzp8/j7q6ugadYtTW1spnQ51hWZrbf9i3dQBOt+G79113s9lsMJlMEEI43Sbufm97MlSr1fe1TTIZNsO+4XX0RqdE9hZpnakfSaKHwX6GyP3Ow9OaXNFtG9A0hRtjx7n3WUwipWjJg+3UcZgViIhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8bp9a9KKigr5AV+gfjSBux/wNpvNOHnypNNxAO0dKN9P35FWqxV5eXlISEiAzWbD1KlTMWzYsGZ7qhFCoKysDPv370dZWRkiIiIwderUBs2D6+rqcPHiRRw6dAgqlUp+kLUjn5MkIupquvUe8+bNm9i9ezfGjBkjd290+PBhCCHkYXPMZjNOnDjhNBkWFBQAuL9kuG/fPlRUVOC5556DSqXCkSNHkJWVhRdeeKHJ1+Xl5WHPnj2YN28e/Pz8kJeXh2+++QY//vGPHbpO27ZtGzQaDV544QUIIZCQkICcnJwO6UGHiKir6raXSW02G3bt2oX58+cjMjISWq0WWq0Wc+bMQWJiYpOD9LYXo9GIgoICLF68GH5+fvLnS5LU7LA9ycnJWLJkCcLDw6HVajF27FhMnTrVYTihwsJCWCwWxMbGQqvVwtfXF4sWLUJRUZHcByYRETWv2ybDGzduwM3NzaFfSaD+gfulS5fK3Qk9SMXFxQgICHDoUso+kGxTQ7JUV1ejoqKiwZAnAwYMwLVr1+Su5a5du4bw8HCHB3ldXV0RFBTU7qOnExF1Z932MmlycjIee+wxpz0+3D0KgV1LeqUrLi7GlStXmqwTEBAgj+uVnJyMZ555pkGd6Oho/OEPf3AYJPNudw9tcjcfHx8IIVBRUQE/Pz8cPXoU77zzToN6jz/+OL799ttWD1NFRKRU3TYZOhtcszEnTpzAJ5980mB6fn6+w709m80md0LbGHu/p03F0NK47q3HrpyIiB6MbpsMW2PixIl48803G0w/ePCgw999+vRxOtIFERF1bd02GYaGhqKgoAD9+vVrMK+to1bk5uYiIyOjyTphYWGYNGmSQwz3Djp748YNh7Hd7tWzZ09cvHixwZmlyWSCJEnyYxkhISG4ceOGPK6eXUFBQYNpRETUuG6bDKOiorBhwwbodLoGSe/o0aPw8fHBmDFjWvWeAQEB8sjMjbn7sYcJEyZg165dGD16tMPgpGfOnMHo0aMbfY/w8HB8//33sFqtDs8LGo1GuLq6yoPBjh07FqdPn0a/fv0c3j89PR1z5sxp1bIRESlZt02GXl5eGDduHI4ePYrIyEh4enoCqL8PeOPGDSxYsKDV72l/PKOlevbsCYvFAr1ej+DgYEiShIqKCly6dAkzZsyQ6xkMBly5cgXjxo2Tk9qkSZNw8OBBPProo3B1dUVtbS3i4+PlQXEBYMiQIUhMTJTH7BJCoLS0FLW1tQgICGj18hERKVW3TYYqlQpTpkzBkSNHsHHjRvnSaEBAABYuXChfapQkST7TuldzvcQ0x8XFBUuWLMHOnTvlEa9dXFywYMECh/fOzc1Feno6Ro4cKU+fPHkydu3ahS+++EK+XDps2DD07dvXIb6FCxfi73//u9ywx93dHYsXL+aYgUREraCIke5ra2tRV1cHAPD09HR47k8Igbq6OqjV6gavsz/Pd79dm9lsNlRWVgKoP2O99/1sNhssFkuD5CuEQHV1NaxWK9zc3OSzW2dx2jsR6NGjBxMhERE40n0DHh4e8PDwcDpPkiSniRC4/yRop1KpmvwiVCqV07PQps5a7+bq6tqigwIiInKu2/ZAQ0RE1FJMhkREpHitToZFRUV44YUX0LNnT3h6emLUqFFIT0+X5wsh8OGHH6J3797w9PRETEyMPHySXVlZGZYtWwaNRgNfX1/85Cc/ke+pERERPWytSoZ37tzBlClT4Obmhr179+L8+fP4r//6L4eHyn//+9/j008/xbp163D8+HH06NEDs2bNcugYe9myZcjOzkZCQgLi4uJw8OBBvPLKK+23VERERK3Qqtak77//Po4cOYJDhw45nS+EQEhICN555x38+7//O4D6Z+iCgoKwceNGPPfcc7hw4QKGDx+OkydPIioqCgAQHx+PuXPn4vr16wgJCWnwviaTSX40AahvIdSvX78WtyYlIiLlaU1r0ladGe7atQtRUVF4+umnERgYiHHjxuHLL7+U5+fl5UGv1yMmJkaeptVqER0djbS0NABAWloafH195UQIADExMVCpVDh+/LjTz12zZo38wLtWq3XaxRoREVFbterZgatXr2Lt2rV4++238ctf/hInT57Ev/3bv8Hd3R3Lly+HXq8H0HCIpKCgIHmeXq9HYGCgYxCurvD395fr3Gv16tV4++235b/tZ4bdWWFhIXbv3u3weIdarcYzzzzT6POGdjU1NTh16hSys7MxduxYjBkzpsHjI5cvX0ZycrLDtNraWsydOxcDBw5svwV5iOw98Ozbtw+1tbXw8fHBwoULm11fBoMB27ZtcxiRxGw2Y8iQIQ4HdmlpacjKynJ4bW1tLZYtW4aePXu278J0E0IIGAwG7Nu3DwaDAYMGDUJ0dDS8vLwafY3FYsG2bdtgNBqdzps3bx5CQ0ORm5uLpKQkp+/h4+OD5557TjEjvVRVVeHw4cPIz89Hr169EBMT06KrZmazGTk5OTh69CgAYNCgQZg2bZpDF5Y3b97Ejh07HIa5M5lMiIqKgk6na/+F6SCtSoY2mw1RUVHycEfjxo3DuXPnsG7dOixfvvyBBAjUJ4HGngXsrvLz89GnTx9MmTJFntbUM5F2FRUV+Oc//4nw8HAsXrwYmZmZ2Lp1KxYvXuywA+rXrx8WL14s/22xWPDll182GFC4K0lPT0dmZibmzJkDDw8PVFRU4Pvvv8eLL77YZKfs3t7eDt3zCSHwww8/NEhwo0aNwqBBg+S/a2trsWHDhlZ10ac0V69exZ49ezB37lxotVpcvnwZGzduxEsvvdToQYqLiwtmzpzpMBya3ebNm+Wdct++fR22Ybvi4mIcOXKkfRekEzMajfjmm28wefJkREZG4tatW9i4cSMWLVrU7EnDli1b4OPjI6/HS5cuISUlBU888YRcx9fXF4sWLZL/FkJg8+bNTseF7cpalQx79+7dYMDYYcOG4R//+AcAyDvSkpISh1EZSkpKMHbsWLlOaWmpw3tYLBaUlZV16R1xe6utrUVQUBB69erV4tfYd+KPPvooIiIiANRfgs7MzERycjJiY2Plund3RGCxWLB//34sXLiwRQ/5d0YWiwXp6el44YUX5M7Se/XqhaysLGRnZ2PUqFGNvtbFxUVez/aO1IOCghp0pu7t7Q1vb28A9d/PgQMH8PLLL7db5wzdjRACKSkpePrpp+Xfdq9evSCEwPHjx/HYY485fZ0kSfD3928wvbCwEBqNRh6RpbHONA4cOIAZM2Yo5qzwyJEjmDp1KsaNGwegfh17enoiJSUFP/rRjxp93bVr1wAA8+fPl9eVj48PNmzYgOjoaHlf4Obm5vD7OHbsGEaNGoXw8PAHt1AdoFX3DKdMmYKcnByHaZcuXUJYWBgAICIiAsHBwUhMTJTnG41GHD9+XD6d1ul0KC8vdxgKKSkpCTabDdHR0W1ekHvZbDbcvn0bQP2l2ezsbFy5ckU+qqyoqEB2djYuXLggd9UGAHV1dTAYDA7vJYTArVu32i22lkhPT8fw4cORnZ2N7Oxs3Lhxo9nXmM1mXL9+Xf4+7MLCwlBQUOD0SBuov9dbVVWFkSNHtusOpLi4WI6/oqJCnm6z2Zyuz1u3bqGtvQNKkoRHH33UYdQQoH7Z8/PzW/w+1dXVSE1NxaxZs5rs1u7IkSMICwtz6Cu2s7h7G87Pz0d2djYKCwvl+bdu3UJ2djYuXbrksE3cvHmzwXtZLBbcuXOnTXHU1NTAaDQ2OMgdMmQILl++3Oj22Jjk5GQ88cQTTW6jer0eNTU18sFgR7Gv9/Pnzzu0pC8rK2swQLgQwum6bwmLxYKrV686XLEA6oePu3nzpsNn36tHjx4N1qdarYZKpWr0deXl5cjMzMSjjz7a6iHwOrtWHdK+9dZbmDx5Mj755BM888wzOHHiBL744gt88cUXAOp3SG+++SZ+85vfYNCgQYiIiMAHH3yAkJAQLFy4EED9meTs2bPxs5/9DOvWrYPZbMaqVavw3HPPOW1J2lbV1dX429/+htDQUJSXl8Pf3x937txBeXk5zGYz0tPT0bdvX1itVmRlZeGZZ54BUL8jiYuLw5w5c+Dv7w8hBA4ePAh3d3f56KioqAjFxcVNfn5QUNB93dfMz8/Hxo0b5aPg8vJyeHl5YdGiRQ59q95NkiS4ubnBbDY7XE718PCQjwLvVVNTg88++wx+fn7Yv38/ZsyY0S4b+bZt21BeXi6vs927d2PevHkYOXIkAODQoUMYOXKk/CO+cOECLl26JB+lGgyGBs+n3svb2xtDhgyBJElwcXHBiBEjHObX1tbi/PnzmDZtWovj/uabb+R1v3TpUqeX8kpKSrBp0yYMHDgQbm5uDo3BOoPCwkIcPnwYNpsNbm5u8Pb2RlFREWJjY3HhwgUUFhYiMDAQVVVVKCoqwuOPPw6g/hLkSy+9JJ/9AvWXOc+dO4fFixejpqYG58+fb/KARa1WY8SIEVCpVMjMzHQ6TJq/vz9qampQXV3t8FlNuX79OgA0O7h2UlISHn/88Q7dUf/1r3+FVquVz6y2bt2KV199FcHBwdi3bx8mT57scMBqNBqxZcsWrFy5ElarFdnZ2Q4H6PeSJAnDhw+Hp6cnysvL4ebm5vSKzsCBA3H58uVGr4o4G9mmqKgIPj4+DQ4qgfqk/fnnn6O8vBybN2/GU089dd+DGXQmrUqGEyZMwPbt27F69Wp8/PHHiIiIwP/8z/9g2bJlcp1f/OIXqKqqwiuvvILy8nJMnToV8fHxDpczNm3ahFWrVmH69OlQqVRYsmQJPv300/Zbqn85deoUZs+eLe8wjUYjPvnkE8yYMQOvv/46VCoVrFYrNmzYgLKyMvj7+8Pb2xs6nQ779+/Hs88+izt37uDChQt49dVX5fetrq6Wzzobc/ePvDVnO/ajtHfeeQf9+/eXf9RCCFy8eBFxcXFYuHCh06NjV1dXDBs2DFlZWYiMjIQkSfL4hufOnXP6eR4eHvjjH/8IADh8+DCOHDmCRx55pMXxOmM0GnHz5k389Kc/lRN3WVkZjhw5gpEjR0KlUmH27NlYv349wsLCYLPZcODAAbz66qvy8tbV1TW7ju89wr6bEAKnT59GUFBQkwMp32vFihUA6s8wNm/ejB//+McN1nVgYCC++uorAPX3XPz8/DBgwIAWf8bDcOjQIXz88cfo3bs3JElCcXEx/uu//gvPP/88Zs+eDUmSUFNTg6+++gpTp06Fm5sbJk+ejEOHDsljYVosFiQlJWHp0qXy37dv325ye/b09JTn3zs4tV1rrz4IIVp06dM+fFlHDmx97do1aLVaPP/88/Lvb/z48bhw4QKCg4MxY8YM7NixAy+99BJcXFwghEBycrLDJeM7d+40eUYnSVKDbf/e9SJJkvz5LWW1WrF3716HUX3u9Ytf/AJA/UHSjh078PTTT3eby9Gtvtkxb948zJs3r9H5kiTh448/xscff9xoHX9/f3z33Xet/ehWi4qKkhMhAGg0Gmg0GodLAy4uLnB1dXV4jjEiIgI3b97Etm3b5NaCd3/hgwYNanBZoil37tzBl19+KY+C4YyPjw9effVV+Yzu3hadkiRh4MCBSE5ORmVlpdMjN0mSMH36dOzatQtZWVno06eP04Y4977GvmxRUVH48ssvMWXKlPs6svb09ISvry82b96M/v37Y9KkSfD19XXYbjw8PDBv3jxs2bIFABqc8QYEBDiM3dgaQghkZWWhrKwMc+bMadWP1b7cvXv3houLC27cuNHgbOTudTZ9+nRs37690yXDmJgYOREC9eszICDAYcxMT09PmEwmeYc5fvx4/OUvf4HRaIRGo8HVq1fRq1cvuVWij48PZs6c2S7xtWYnXVxcDEmSmjyoEUIgISFBPsDuKAEBAaisrMS2bdvQv39/jBs3Dv369ZOvEtl77iosLER4eDjKy8tRVFQkN+BycXFp1ZWM9mKz2bBnzx7odLpGW0bfvd2Hh4cjMTERBoMBvr6+DzHSB6fb3/lvy1GLJEmYOHEifv3rX+O9995rkHjsl/SaMmDAAPmSoL+/P957771Wx3Eve7JoKqm6uLhg0aJFuHHjBm7cuIGxY8fCw8MDeXl5zb6/l5cXampq2nzf7u44ly5dioKCAuTl5eEPf/gDPDw88Pzzz8uP1UiShLCwMGzcuBHe3t7o06ePw3dVUlKCY8eONfk5/v7+mDp1qsPr7Inw+vXrmD17dpt3jPaWuzU1Nc3G0NZ7ag9aY2cLTdUfOHAgcnNzMW7cOBw5ckQ+iwTqz/hTUlKa3D68vLzwxBNPwMXFBT179nR6RaK2thaurq4tangkhMC+ffua/S5v376NmpqaDr+H26NHD7z66qu4dOkSrl69iv/3//4f/Pz88MILL8Db2xuSJGHy5Mk4evQowsLCkJ2djREjRsjr2H423tR2J0kSHn/8cfj4+MDd3R02mw1ms7nB0HT2B86bY7PZEBcXhwEDBjS41dAYV1dXqFQqmM3mFtXvCrp9MmwLm82GpKQk/OIXv8D169dRWlrq8Gykv79/s2cCrWkFeq/bt2+jtra2wRmJyWSCJElNXqe3Wq2QJAkhISHyPdizZ88iNDRU3pkUFhbC29vboRs9AHIvDfd72UMIAavVitDQUISGhmLatGm4fPkyUlJS5HuzQgicO3cO48ePh9VqRU5OjsNZvJeXV7Pr+N5n1e5OhM01gLGrqqqCXq9v8Fk2mw1VVVXygdDFixfRv3//Buu+qKioXe91d7TJkyfj22+/xeDBg1FdXe2wHbu7u2PAgAFNJkN3d3f5OxwyZAi2b98Om83mkMju3LkDLy+vRodVu1tJSQkkSWqyGb8QAvHx8Zg5c2aHj+Vps9kghMDgwYMxePBgzJ49G0ePHkV6erp8KbRPnz64desWTCYTTp06hZdffll+vUqlQlhYWJNJxt42AKi/2mXfVu8+Q7NarU4b093LarXihx9+aDQR3rlzBxUVFQ0uPZvNZlit1m71yBuToRMXL15EZWUlFixYgOrqaqxfvx4rV66Uf2hBQUEP9Bkb+wO0CxculHf4dXV1OHPmDAYOHCjfLLdarTh9+jTGjh0rH2Xv378fAwYMwMCBA+VWYYcOHXJoYl1WVoazZ89i+vTp8g6ptrYWaWlpmDRp0n1fZjIajYiLi8PTTz8tJ48+ffrIj+AA9a15Dx8+jJ/97GcAgHXr1iE0NFReXh8fH/nMuiXsibCoqKjJRGgymeTOCOxHtikpKQgICICPjw8kSYLFYsHly5fh4+Mjf8/5+fmorKzE6NGj5WWqqqrCoUOH5AYo3YFGo0FwcDC+/PJLzJ492+Fsw8PDo8VnDnbjx4/HiRMnMGHCBLi4uKCurg779+93uNxqtVpx6tQpjBs3zuFs0WazYe/evZgzZ06T22RZWRlqamqabVzzMFy5cgW5ubmYMWMGXF1dIYTAkCFDsGnTJjkZuru745FHHsFf//pXDB482KHxi0qlwpAhQ1r1mTNnzsS+ffuwePFiuLm5wWKx4ODBg5g8ebJcx/77GDBggMP+44cffsDAgQMbPDJnV1NTg9TUVPk5ZUmSYDabkZWVhbCwsG7VHWa3TobOjjydtQ60NycG6s+Ozpw5gwULFkCSJHh5eeHRRx/FwYMHH9pOLzQ0FJGRkfj666/lnZHNZkP//v0xffp0ud6dO3eQnJzs0HJ1ypQp2LZtG1JSUgDUX3aZOHGiw6Xe0aNHw2w2Y8OGDfLOx2KxIDIyUn5W6X74+PggODgY69evl5OS2WyW74tYrVbEx8dj4cKF8ucvXLgQe/bsweLFi9uUjHNycvDHP/4R0dHRWL9+vcO8wMBA+fvMz89HSkoKBg4cKI+aMnv2bGzatEmO1WazITAwUG4BDdTfg0tISMCGDRvk+MxmM2bOnNnhl+bupVKpnB6xt+T3IEkSZsyYgXXr1rXqvrgzkiRh2rRp+Mc//oEzZ87IDT+GDBnicP/v5s2bSE5ORp8+fRzOso1GIyRJatBj1b1SUlJafCXgQQsPD0dWVha++uoreTuxWq1YsmSJQ72RI0ciPj6+2UdFWiIiIgKXL1/G+vXroVKpIISAn5+fw/ZrMplw8OBBWCwWjB8/HkB9Q8bTp09Dr9fj8OHDDu85ceJEjB07FiEhIZg8eTI2btzosC8KDQ1t8z39zqpVHXV3Fi3pfFUIgdra2gY/9urqanh6ejpsgLW1tXB3d5dbl1osFoedSWPv9aDV1dXJXVJ5eHg4bYbubHlsNhvKy8ths9nQo0ePRuOura2Vh85qql5bVVVVyfc+NBqNfEbV2PqsqamBh4dHm3YOJpPJ4VnGu7m6ukKr1cqt65x9tsViQXl5OYD6I/fGtqvKykq5pZ9Wq230MZeO1Jpt2Nk6P3v2LPLz8zF//vx2icfeJZvFYoGnp6fTxwAa247r6uqavZx69++3szAajfLjEb6+vg3uj5aWlmLXrl14+eWX2y3uiooKmEwmuLm5Ob3dce96ujvGe3l5eTnchjCbzfKzq2q12mkDvs6oNR11d9tkSEStV1VVhX/84x+YN2+e015g6P6ZzWbExcU5PGdLD0ZrckW3vkxKRC1TXV2Nq1ev4syZM3KHE9S+LBYLcnNzcf78eYwcObLLdojfXTEZEhFqa2tx5coVzJo1675aQlPjbDYb8vLyMHr0aAwYMKDbPKzeXfAyKRERdUsPbHBfIiKi7ojJkIiIFI/JkIiIFI/JkIiIFK9Ltia1t/mxP5BORER0L3uOaEk70S6ZDO3j3N3P4LlERKQMFRUVzY7g0SWTof2B4IKCghYNUdLZGI1G9OvXD4WFhV3y0ZCuHH9Xjh3o2vF35dgBxt+R2hq7EAIVFRUtGlmmSyZDe996Wq22y32pd7MPNtxVdeX4u3LsQNeOvyvHDjD+jtSW2Ft6wsQGNEREpHhMhkREpHhdMhmq1Wp89NFHXXaUZcbfcbpy7EDXjr8rxw4w/o70MGLvkn2TEhERtacueWZIRETUnpgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8bpkMvzss88QHh4ODw8PREdH48SJEx0dEg4ePIj58+cjJCQEkiRhx44dDvOFEPjwww/Ru3dveHp6IiYmBpcvX3aoU1ZWhmXLlkGj0cDX1xc/+clPUFlZ+cBjX7NmDSZMmAAfHx8EBgZi4cKFyMnJcahTW1uLlStXomfPnvD29saSJUtQUlLiUKegoACxsbHw8vJCYGAg3n33XVgslgce/9q1azF69Gi5dwqdToe9e/d2idjv9bvf/Q6SJOHNN9+Up3Xm+P/jP/4DkiQ5lKFDh3aJ2O2KiorwwgsvoGfPnvD09MSoUaOQnp4uz+/Mv93w8PAG61+SJKxcuRJA517/VqsVH3zwASIiIuDp6YkBAwbgP//zPx061X6o6150MZs3bxbu7u5iw4YNIjs7W/zsZz8Tvr6+oqSkpEPj2rNnj/jVr34l/vnPfwoAYvv27Q7zf/e73wmtVit27Nghzpw5I5588kkREREhampq5DqzZ88WY8aMEceOHROHDh0SAwcOFEuXLn3gsc+aNUt8/fXX4ty5cyIzM1PMnTtXhIaGisrKSrnOihUrRL9+/URiYqJIT08XkyZNEpMnT5bnWywWMXLkSBETEyNOnz4t9uzZI3r16iVWr179wOPftWuX+OGHH8SlS5dETk6O+OUvfync3NzEuXPnOn3sdztx4oQIDw8Xo0ePFm+88YY8vTPH/9FHH4kRI0aI4uJiudy8ebNLxC6EEGVlZSIsLEz8+Mc/FsePHxdXr14V+/btE7m5uXKdzvzbLS0tdVj3CQkJAoBITk4WQnTu9f/b3/5W9OzZU8TFxYm8vDyxdetW4e3tLf70pz/JdR7muu9yyXDixIli5cqV8t9Wq1WEhISINWvWdGBUju5NhjabTQQHB4s//OEP8rTy8nKhVqvF3//+dyGEEOfPnxcAxMmTJ+U6e/fuFZIkiaKioocWuxD1PzAAIjU1VY7Vzc1NbN26Va5z4cIFAUCkpaUJIeoPBlQqldDr9XKdtWvXCo1GI0wm00ONXwgh/Pz8xFdffdVlYq+oqBCDBg0SCQkJYtq0aXIy7Ozxf/TRR2LMmDFO53X22IUQ4r333hNTp05tdH5X++2+8cYbYsCAAcJms3X69R8bGytefvllh2mLFy8Wy5YtE0I8/HXfpS6T1tXVISMjAzExMfI0lUqFmJgYpKWldWBkTcvLy4Ner3eIW6vVIjo6Wo47LS0Nvr6+iIqKkuvExMRApVLh+PHjDzVeg8EA4P9GB8nIyIDZbHaIf+jQoQgNDXWIf9SoUQgKCpLrzJo1C0ajEdnZ2Q8tdqvVis2bN6Oqqgo6na7LxL5y5UrExsY6xAl0jXV/+fJlhISEoH///li2bBkKCgq6TOy7du1CVFQUnn76aQQGBmLcuHH48ssv5fld6bdbV1eHb7/9Fi+//DIkSer063/y5MlITEzEpUuXAABnzpzB4cOHMWfOHAAPf913qVErbt26BavV6vDFAUBQUBAuXrzYQVE1T6/XA4DTuO3z9Ho9AgMDHea7urrC399frvMw2Gw2vPnmm5gyZQpGjhwpx+bu7g5fX1+HuvfG72z57PMetKysLOh0OtTW1sLb2xvbt2/H8OHDkZmZ2elj37x5M06dOoWTJ082mNfZ1310dDQ2btyIIUOGoLi4GL/+9a/xyCOP4Ny5c50+dgC4evUq1q5di7fffhu//OUvcfLkSfzbv/0b3N3dsXz58i71292xYwfKy8vx4x//WI6rM6//999/H0ajEUOHDoWLiwusVit++9vfYtmyZQ6f/7DWfZdKhvTgrVy5EufOncPhw4c7OpRWGTJkCDIzM2EwGLBt2zYsX74cqampHR1WswoLC/HGG28gISEBHh4eHR1Oq9mP4gFg9OjRiI6ORlhYGLZs2QJPT88OjKxlbDYboqKi8MknnwAAxo0bh3PnzmHdunVYvnx5B0fXOuvXr8ecOXNaNHZfZ7BlyxZs2rQJ3333HUaMGIHMzEy8+eabCAkJ6ZB136Uuk/bq1QsuLi4NWkOVlJQgODi4g6Jqnj22puIODg5GaWmpw3yLxYKysrKHtmyrVq1CXFwckpOT0bdvX3l6cHAw6urqUF5e7lD/3vidLZ993oPm7u6OgQMHIjIyEmvWrMGYMWPwpz/9qdPHnpGRgdLSUowfPx6urq5wdXVFamoqPv30U7i6uiIoKKhTx38vX19fDB48GLm5uZ1+3QNA7969MXz4cIdpw4YNky/1dpXfbn5+Pg4cOICf/vSn8rTOvv7fffddvP/++3juuecwatQo/OhHP8Jbb72FNWvWOHz+w1r3XSoZuru7IzIyEomJifI0m82GxMRE6HS6DoysaREREQgODnaI22g04vjx43LcOp0O5eXlyMjIkOskJSXBZrMhOjr6gcYnhMCqVauwfft2JCUlISIiwmF+ZGQk3NzcHOLPyclBQUGBQ/xZWVkOG2ZCQgI0Gk2Dnc3DYLPZYDKZOn3s06dPR1ZWFjIzM+USFRWFZcuWyf/vzPHfq7KyEleuXEHv3r07/boHgClTpjR4jOjSpUsICwsD0Pl/u3Zff/01AgMDERsbK0/r7Ou/urpaHqjdzsXFBTabDUAHrPs2NgTqMJs3bxZqtVps3LhRnD9/XrzyyivC19fXoTVUR6ioqBCnT58Wp0+fFgDEH//4R3H69GmRn58vhKhvIuzr6yt27twpzp49KxYsWOC0ifC4cePE8ePHxeHDh8WgQYMeSvPs1157TWi1WpGSkuLQTLu6ulqus2LFChEaGiqSkpJEenq60Ol0QqfTyfPtTbRnzpwpMjMzRXx8vAgICHgoTbTff/99kZqaKvLy8sTZs2fF+++/LyRJEvv37+/0sTtzd2tSITp3/O+8845ISUkReXl54siRIyImJkb06tVLlJaWdvrYhah/nMXV1VX89re/FZcvXxabNm0SXl5e4ttvv5XrdObfrhD1LepDQ0PFe++912BeZ17/y5cvF3369JEfrfjnP/8pevXqJX7xi1/IdR7muu9yyVAIIf785z+L0NBQ4e7uLiZOnCiOHTvW0SGJ5ORkAaBBWb58uRCivpnwBx98IIKCgoRarRbTp08XOTk5Du9x+/ZtsXTpUuHt7S00Go146aWXREVFxQOP3VncAMTXX38t16mpqRGvv/668PPzE15eXmLRokWiuLjY4X2uXbsm5syZIzw9PUWvXr3EO++8I8xm8wOP/+WXXxZhYWHC3d1dBAQEiOnTp8uJsLPH7sy9ybAzx//ss8+K3r17C3d3d9GnTx/x7LPPOjyj15ljt9u9e7cYOXKkUKvVYujQoeKLL75wmN+Zf7tCCLFv3z4BoEFMQnTu9W80GsUbb7whQkNDhYeHh+jfv7/41a9+5fBIx8Nc9xzPkIiIFK9L3TMkIiJ6EJgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8ZgMiYhI8f5/6NkLJ2ErOWgAAAAASUVORK5CYII=", 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", 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" ] @@ -881,7 +987,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 9, "metadata": { "slideshow": { "slide_type": "slide" @@ -890,7 +996,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -965,7 +1071,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 10, "metadata": { "slideshow": { "slide_type": "slide" @@ -974,7 +1080,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1049,7 +1155,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 11, "metadata": { "slideshow": { "slide_type": "slide" @@ -1058,7 +1164,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1131,7 +1237,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 12, "metadata": { "slideshow": { "slide_type": "slide" @@ -1140,7 +1246,7 @@ "outputs": [ { "data": { - "image/png": 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oqCjh6ekpQkJCxOTJk+UgFEKImzdvil/96leiR48ewsfHRzz66KPi0qVLinmcO3dOzJgxQ3h7e4vg4GDx+uuvC4vF0ppmMAxZWFhYWFpcWhKGkhBd74GFZrMZer2+o5tBRERdgMlkgk6na7IOn01KRESqxzAkIiLVYxgSEZHqMQyJiEj1GIZERKR6DEMiIlI9hiEREakew5CIiFSPYUhERKrHMCQiItVjGBIRkeoxDImISPUYhkREpHoMQyIiUj2GIRERqR7DkIiIVI9hSEREqscwJCIi1WMYEhGR6jEMiYhI9RiGRESkegxDIiJSPYYhERGpHsOQiIhUj2FIRESqxzAkIiLVYxgSEZHqMQyJiEj1GIZERKR6DEMiIlI9hiEREakew5CIiFSPYUhERKrHMCQiItVjGBIRkeoxDImISPXuKgzfe+89SJKEV155RR5WV1eHJUuWICgoCH5+fpg7dy4qKioU05WUlCAlJQU+Pj4IDQ3FG2+8AavVejdNISIiarM2h+HBgwfx3//93xg6dKhi+KuvvopNmzZh7dq1SE9PR1lZGVJTU+XxNpsNKSkpaGhoQFZWFr788kusWrUKb731Vtu/BRER0d0QbVBdXS369+8vdu7cKSZMmCBefvllIYQQVVVVwsPDQ6xdu1aue/LkSQFAZGdnCyGE2LJli9BoNKK8vFyus3LlSqHT6UR9fX2LPt9kMgkALCwsLCwszRaTydRsrrTpyHDJkiVISUlBcnKyYnheXh4sFotieGxsLCIjI5GdnQ0AyM7OxpAhQxAWFibXmTZtGsxmMwoKClx+Xn19Pcxms6IQERG1F/fWTrBmzRocOnQIBw8edBpXXl4OT09PBAQEKIaHhYWhvLxcrnN7EDrGO8a5smLFCvz+979vbVOJiIhapFVHhqWlpXj55Zfx9ddfw8vL6161ycny5cthMpnkUlpaet8+m4iIur9WhWFeXh4qKysxcuRIuLu7w93dHenp6fjggw/g7u6OsLAwNDQ0oKqqSjFdRUUFDAYDAMBgMDj1LnX821HnTlqtFjqdTlGIiIjaS6vCcPLkyTh27Bjy8/PlkpiYiIULF8r/7+HhgbS0NHmawsJClJSUwGg0AgCMRiOOHTuGyspKuc7OnTuh0+kQFxfXTl+LiIioFVrRidSl23uTCiHEiy++KCIjI8WuXbtEbm6uMBqNwmg0yuOtVquIj48XU6dOFfn5+WLbtm0iJCRELF++vMWfyd6kLCwsLCwtLS3pTdrqDjTN+fOf/wyNRoO5c+eivr4e06ZNw0cffSSPd3Nzw+bNm/HSSy/BaDTC19cXixYtwjvvvNPeTSEiImoRSQghOroRrWU2m6HX6zu6GURE1AWYTKZm+5rw2aRERKR6DEMiIlI9hiEREakew5CIiFSPYUhERKrHMCQiItVjGBIRkeoxDImISPUYhkREpHoMQyIiUj2GIRERqR7DkIiIVI9hSEREqscwJCIi1WMYEhGR6jEMiYhI9RiGRESkegxDIiJSPYYhERGpHsOQiIhUj2FIRESqxzAkIiLVYxgSEZHqMQyJiEj1GIZERKR6DEMiIlI9hiEREakew5CIiFSPYUhERKrHMCQiItVjGBIRkeoxDImISPUYhkREpHoMQyIiUj2GIRERqR7DkIiIVI9hSEREqteqMPzXf/1XSJKkKLGxsfL4uro6LFmyBEFBQfDz88PcuXNRUVGhmEdJSQlSUlLg4+OD0NBQvPHGG7Bare3zbYiIiNrAvbUTDB48GD/99NP/zsD9f2fx6quv4scff8TatWuh1+uxdOlSpKamIjMzEwBgs9mQkpICg8GArKwsXLp0Cf/n//wfeHh44N13322Hr0NERNQGohXefvttMWzYMJfjqqqqhIeHh1i7dq087OTJkwKAyM7OFkIIsWXLFqHRaER5eblcZ+XKlUKn04n6+voWt8NkMgkALCwsLCwszRaTydRsrrT6muHp06cRHh6OPn36YOHChSgpKQEA5OXlwWKxIDk5Wa4bGxuLyMhIZGdnAwCys7MxZMgQhIWFyXWmTZsGs9mMgoKCRj+zvr4eZrNZUYiIiNpLq8IwKSkJq1atwrZt27By5UoUFxfjgQceQHV1NcrLy+Hp6YmAgADFNGFhYSgvLwcAlJeXK4LQMd4xrjErVqyAXq+XS0RERGuaTURE1KRWXTOcMWOG/P9Dhw5FUlISoqKi8N1338Hb27vdG+ewfPlyvPbaa/K/zWYzA5GIiNrNXd1aERAQgAEDBuDMmTMwGAxoaGhAVVWVok5FRQUMBgMAwGAwOPUudfzbUccVrVYLnU6nKERERO2l1b1Jb3fjxg2cPXsWTz31FBISEuDh4YG0tDTMnTsXAFBYWIiSkhIYjUYAgNFoxB//+EdUVlYiNDQUALBz507odDrExcW1+vNHjRql6M1KRETkYLVacfDgwRbVlYQQoqUz/ud//mfMmjULUVFRKCsrw9tvv438/HycOHECISEheOmll7BlyxasWrUKOp0Ov/71rwEAWVlZAG7dWjF8+HCEh4fjT3/6E8rLy/HUU0/hueeea9WtFWazGXq9HlVVVTxKJCIil8xmMwICAmAymZrNilYdVl24cAELFizA1atXERISgvHjx2P//v0ICQkBAPz5z3+GRqPB3LlzUV9fj2nTpuGjjz6Sp3dzc8PmzZvx0ksvwWg0wtfXF4sWLcI777zThq8J+cZ/IiKiO7UmH1p1ZNhZOI4MW5L2RESkTq3JCj6blIiIVI9hSEREqscwJCIi1ev29yVUVVVh3759OHPmDABgwoQJGD58eKMXVs+ePQuTyYSRI0fe1efW19fjyy+/RG1trdO4uro6LFy4sMkHB2zYsAHnzp2T/y2EgMViwdKlS+Hj44Pr16/jq6++gs1mc5rWYrFg8eLF0Ov1d/Ud7pbFYkFhYSF27doFu92O0NBQzJ07F1qtVlHParXi1KlT+Omnn2C32xEcHIx58+bBy8urQ9othEBWVhb69OmDnj17Oo1fs2aN0xOT4uPjFY8ibGy+Fy5cwLZt21BTU4O4uDiMGTNGvpYhhMD333+PCxcuOE1rs9kwduxY+TallqisrERaWhoqKiogSRJmzZqFPn36AAD27duHhIQElw/LsFqt2Lt3LyZOnNjiz7qdxWLBiRMnsGfPHgghMGHCBAwePBienp5NTieEQFlZGbZt24bq6moMGDAAY8eOdXqq1c2bN5Gfn4+cnBy4u7tjypQp6NevH9zc3NrU3nuhrq4OR44ckR9F2bdvX8yYMcPpVrAffvgBxcXF8r/v3M7vlslkwoEDBzBlyhSX42/evIkjR45g//79cHNzk5dlc7esmc1m5OTkoKCgAD4+Ppg+fToiIiIUv6uHDx/GTz/9BA8PD3lYQEAAnnzyyU55S1zna1E7Ki8vx9atW5GQkIBJkyYBADIyMnD48GGXYVdSUoLvvvsO0dHRdx2Gnp6eeOqpp+Cqf9Knn37a7BN7ZsyYoQi6iooK7NixQ55Or9fj2WefdZquoaEBq1atUqyAHcFqtWLr1q0AgGeeeQYajQaVlZXYsGEDZs+erQi6LVu2wGazyfWuXLmCv//971i0aNF9b7cQAocOHcJ3332H559/3mUYFhUV4de//rXix7clG/fhw4dx+PBhzJkzB76+vjhx4gRWr16N559/Hp6enpAkCTNnzoTdbneaduPGjfD392/x9zh16hT27duHiRMnIiwsDEIIbN26FUII9O3bF+7u7sjOzpa3izvbabFYWvxZd9qwYQO8vb3x3HPPAQDS09Px888/Y8GCBU1Od/z4cWRnZ2P27Nnw9/fHqVOnsHr1ajz33HPyei+EwDfffIM+ffpg8eLFsFqt2L59O4qLizF9+vQ2t7k93bx5Exs2bEBISAgWL14M4NZO9vbt2zFt2jTFujJ9+vQmt/O7YTab8f3336OkpKTRMPz2228RHR2NxYsXw2az4cMPP8S8efPQv3//RudrsViwevVqjB49GosXL0ZtbS02bdqEIUOGIDExUa5XVFSEKVOmYMCAAfIwSZI61U7L7brtaVKbzYbNmzdj1qxZGDp0KHx8fODj44OpU6di7969uHHjhqJ+ZmYm9u7di9mzZ0OjufvFIkkSvL295c91lHPnziEiIgLBwcFNTq/VauVpamtrkZWVhYULF8p7XhqNxmnePj4+OHr0KBITE9tlr/JunD59GjabDbNmzYKfnx98fHwQFRUFg8GA3NxcuZ7JZMKlS5cU9SIiIuDh4aHYY75f1q5di6tXr7oMCeDWHr+3tzd8fX0Vy725ox673Y7s7GzMmzcPISEh8PHxQWJiIoYOHYr9+/fL9by8vJz+phaLBSaTSfHu0KbU19dj27ZtePLJJxETEwMfHx/4+vpi5syZ2LJlCxoaGjBs2DCcPHkS9fX1Tu08cOAAxowZ06LPulNlZSXMZjMefvhh+Pr6wtfXFzNmzEB9fT3KysoanU4IgX379mHevHkICwuDj48Phg8fjqSkJPkVcMCtB3no9XpMnDgRPj4+0Ol0mD17NoqLi1FTU9OmNre3/fv3IyoqCpMnT5b/hvHx8aitrVWc7QGU2/nNmzedtvO2Ki4uxurVq/Hwww83uhN1+vRp+Pn5ycvS398fr732WrO/fzk5ORgyZAhGjRoFHx8fBAcHY+7cucjJyZF35IQQqK+vR0BAgGJd9vb27rS3w3XbMLxw4QK8vLwQFBSkGK7RaDBu3Djs27dPMdxoNGLBggX39IhKCIH09HRMmDChVdNs27YNDzzwAPz8/Jqsa7VaceTIkbs+qr1bFosFu3fvxpQpUxQrviRJGD9+PPLy8nDz5k0At3787zx9JEkSevTogevXr9/3ts+bN8+p3bc7d+4cIiMjUVhYiMzMTGRlZaGmpsblGYDbVVVVQaPROJ267tu3L4qLi10eDTrs2rULDz74YItPLR09ehSxsbFO67JWq8Wjjz4Km80Gb29v6HQ6VFZWKupcv34dbm5ubb5lqbS0FL169VL8oEqShMjISJw/f77R6cxmM2w2GwIDAxXD+/Tpg3PnzsnLp6ioSD7V6+Dp6YnAwMAmH/Z/v9TU1ODo0aMYM2aM07o/depUpKWluXyZuWM7Hz9+fLPbeUtER0fjpZdeQo8ePRqtc/uyFEJACAGtVou+ffs2Oo0QwuXfQKfTwc3NTd5m7XY7SktL4eXlhczMTGRmZuLixYvNbicdqdueJs3IyMBDDz3k8kctISEBK1asUJxWaW5vyGazIScnx+U1QAdJkjB69OhG98R+/vlnhIWFNbmC3qmwsBB79+7FhQsXMHPmTAwePNjldxJCIDMzEyNGjOjwo0Kz2Qw3Nzf4+vo6jdNoNOjVqxdKSkowcOBAaLVaREZGKupcu3YNV65cwfjx4+Vh586dk6/7NqZ3794tPnpqTEvOCmzYsEEObODWae8HHngAI0aMaDREDx48iFGjRjkN79mzJyorK2Gz2Vx+tuONMDNnzmzxd9i7dy9eeuklp7ZIkoTevXvL/37wwQeRkZGBJ554ApIkQQiBnJwcJCUlyXWKi4tx9uzZJj/v9uW+d+9e+dTg7caNG4f/+q//avSaZ35+PoYPH+40PCgoCNXV1aivr4e3tzfy8/OxfPlyp3oTJkzAjz/+2OQP+f1QVFSEmJgYl+uBTqeD1WpFTU2N007RqVOnkJGRgZKSEsyaNUuxnR8/frzZoB84cKCiD0JLHkiSl5eHF154Ad9//z0KCwsRGhqKBx98EAMGDGh0WpvNhvLycvTq1ctpXFJSEnJycvDwww8DAAoKCrB582b5b7Jz507o9Xo88sgjnfJUabcNw/beA5EkCb6+vk3+EZs6Hy6EwK5du1p9CiQ2Nhb//d//DZvNhs8//xw9e/Z0OtoFbu2J5efnu/wh6iiuvmdz310IgT179iAxMVGxU+Hp6dnsNbPbO+YIIVx2LrqTm5tbq/4eUVFR+Mtf/qI4gpkwYQJWr14Ng8GA8PDwFs8LaHp5CCGwc+dOTJw48Z6csTAYDLh69SosFgs8PT0hhMDp06cVZy5astzvZUenznpKrTmtXfcHDhwob+dffPGFYjv39vZu9m/Q3Gl6V65fv44ff/wRSUlJmDdvHi5fvox9+/ahvr4eQ4cObXLa5v4uGo0G7733ntP2cPDgQaSlpTV59qWjdNswbG8ajQbDhg1r8/SFhYUwGAxt7uHp6Om1fft2PPHEE4pxjqPCkSNH3tNXad1rdrsdu3btcnmEFx4e3qqgMZvN+Oyzz5rsCOLj46PonNES3t7eTvU1Gg2mTp2KrVu34plnnmnxvJpTU1MjX0+9F7RaLYxGI/bs2YOpU6fi4MGDiIuLUxzR9+rVy+VRAN0bju1827ZtWLhwIYBbp9LvxRHv1atXMXLkSAwcOBAAEBISgmnTpmHVqlXyWZu2kiTJ5fY6dOhQfPTRR5g8eXKnOzrstmHYp08fFBcXu7x94eLFi63eg7fZbNi0aROqq6sbrSNJElJSUpxOg9rtdqSlpeGpp566q70hx2OFXLXt0KFDePHFF9s87/bk5eUFu92OhoYGpz1Wu90uPzz3zuG7d++GXq9HYmKi03I6fvw4Dh8+3OTnDhgwQD7Fp9frFe/AvNd0Oh3MZnOj43v37o3Tp08retsBt0Lb19fX6RSpEAI7duzApEmTWn1UGB0djXPnzmHQoEFO4ywWC9zc3OTPi4iIwLFjx2C321FUVKQ4RQrcuv545MiRJj9v4MCBGD16tOKz73wLzfnz5xEVFdXoPHr27Onyc2pqaqDVauUfzp49e6KsrMwpoIuLi52uY3WEwMBA5OXlQQjhtA7X1dVBkqRmj+LuXJf27dvXbGeyUaNGtfoSQb9+/TB48GDFMB8fH7i5ueHGjRsuw1CSJPj7+8NkMjnt2JeWliImJqbJz9RqtbBYLJ3y2mG3DcPhw4fjiy++wPjx46HRaFBVVYVLly4hNjYWJ06caPUrozQaDZKSklxe/HZwnEq90+nTp2EwGFrcNX7//v1ISkpy2phOnTql6KbskJWVhZEjR3bYfXl3cpxONpvNcq/Z3NxcDBs2DDabDVVVVQgLC5Pr22w27N69GwEBAUhISHC5wxAZGdnsUXV7dDxozoEDB5CQkOC0V3v69Okmu6MPGjQIP/74I2w2m2LaS5cuITQ01Gl+jqPCRx55pNVtHDFiBLKzsxEbG6tYlkIIbNiwAQ888IDiHaPXr19HbW0tSkpK8PjjjyvmFR0d3ew17tuX+8iRI5GRkYFBgwbJny2EQH5+PkaMGNHoPPr374/169fDarUqOgpdvnwZAQEBcoAMGjQIJ0+eVISh3W7H4cOHnc6YdIRevXrhypUraGhogFarhd1uR15eHkaOHImqqip4eXnJZxb279+P0aNHO+0I3bmdDxo0qMkdCQCt6ofg4OjUFB0dLQ+rr6+H3W5v9GyJm5sbDAYDysrKFNujzWZDYWEhUlJSANy6lcTf319+VZ/D9evXodfr26XHfnvrtmHo6+uLxMREpKenY/To0fDz80NRUREuXryI6urqVt9QLEmSy3vOmmOz2Zo8KrTb7Th48CD69esnXyMoLy9Hfn4+4uLioNVqIYRAeXk5Tpw4gV/84heK6RsaGpCXl4elS5e2um330ty5c7F9+3ZMmjQJYWFhCAwMxA8//ACbzYb58+fL9VoShAA6zUudr169ikOHDmHIkCHw8vKCEAKXL19Gfn4+5syZI9e7ePEiLl++jGHDhsmdGeLi4pCbm4uEhAS4u7ujuroaaWlp8ukwB8e1wkmTJrXp5uTIyEj8/PPPyMvLQ3x8vNzOw4cPIyAgQH7LjMOkSZPw4YcfutwBa+1y79WrF0wmEyoqKuQdnsuXL6OiokJx1FBRUYELFy5g5MiR8mc6QtxoNMLd3R03btzAjh07kJqaKk+XkJCADz/8EAkJCejRowfsdjvOnTsn947tDObNm4cffvgBycnJ6NGjB9zd3bF161aYTCY8+uijcr3y8nIcOXLE5XZ++zYSFBTksp/A3XrooYeQkZEBnU6HwMBA1NbWIjc3F3FxcXInPIvFgqysLCQlJck725MnT8bq1avRq1cvuVPQ4cOHMXDgQDnkbDYb9u3bh8mTJ8uhaTabkZmZibFjxzIM7ydJkjBmzBjk5OTg//2//4f6+nq5x95DDz3U6KknDw8Pl0d3bVVZWYmwsLBGj1qsViuOHz8OT09PeYWfNWsWduzYgczMTPlINCAgALNnz3ZqW2Fhofxi5c4kKCgI06ZNw8aNG+VTuzabDQaDQXFUmJGRgTVr1mDw4MFOt7v0799f3tO837y9vV0u06lTp2LXrl349NNP5b+NTqfDzJkzFad+z549iwsXLmDo0KFyGE6ZMgWbNm2S78fy8vLC2LFjnX7E7XY7Ll++3KajQuDW3rujG//t7YyLi3N5rWbo0KHIyspS9N5tKzc3N8yfPx+bN2+WT/X5+/tj3rx5imAvKirC6dOnMXz4cLkT08SJE7F582Z89NFHsNvt0Gq1SExMVASBu7s7Zs+ejbVr18o9u4OCgpCamtppfmCjo6MhSRK+//57+bYbIQT69++v+Fs3tZ2311kOSZIa3Uno3bs3xo4di3Xr1qG2thaenp4YMmSIYj24ceMGjhw5gr59+8o9kf39/TF+/Hh88803qKurg0ajQc+ePfHII4/IOzb9+/eHzWbDmjVrFLdRjR07FvHx8e3y3dqbKl7h1NDQIK9sHh4e2L59O0aMGOGyY4Ddbofdbm+3xwW1ZH5Wq9WpV6PjplXH/VVeXl4uN3ZHj8nOdjHawW63o66uDsCtNpaVleHUqVOYNm0agFt7no11cnFzc7uri/h3w2azQZKkRn9gHTtXgOu/TWN/dyEE6urqIISAh4eHy8AVQsBqtbbLDk5z7XSwWCxwd3dvtx5+t//db7/md/v4xpaPY71vbPkAt/4+jgcGNPW9OtLtbXR3d8eJEyfQ0NAgX191qKura3Y7b6uWrEuOdrq7u7u8ntnYuuHYdiVJgpeXl8t1x2q1oqGhAQCa/HveK63JClWE4Z0cK15n3IC6OyEE7HZ7pw1vonvFcYTI3537pzVZ0W1PkzaFK2PH6czPJiS6l1pyIzx1HKYCERGpHsOQiIhUj2FIRESqxzAkIiLVYxgSEZHqdfvepNXV1cjOzsbp06cB3HrDwO2vR7FYLDh48CDGjh3rNK3jRZy3P66otWw2G4qLi7Fz507Y7XaMHz8egwYNavb5hEIIXLt2DTt27MC1a9cQExOD8ePHO3UPbmhowM8//4y9e/dCo9EgOTkZMTEx7XafJBGRGnTrX8zLly9j06ZNGDZsmPwA4n379kEIgSFDhgC4FYYHDhxwGYYlJSUA7i4Mt2/fjurqajz++OPQaDTIzMzEsWPH8OSTTzY5XXFxMbZs2YKZM2eiR48eKC4uxpdffolf/vKXimecrlu3DjqdDk8++aT8GK/CwsJWvf+OiEjtuu1pUrvdjo0bN2LWrFlISEiAXq+HXq/HjBkzkJaW1uRLetuL2WxGSUkJUlNT0aNHD/nzJUmSjzobs3v3bsydOxfR0dHQ6/UYPnw4xo8fr3hkWWlpKaxWK1JSUqDX6xEQEIBHH30UFy9eRFVV1b39ckRE3Ui3DcOysjJ4eHjIb01w0Gg0WLBggfyoqHvp0qVLCAkJUTyCSJIkxMTENPlKltraWlRXV8tvFnDo27cvzp07Jz9a7ty5c/JzEB3c3d0RFhaGsrKydv42RETdV7c9Tbp792489NBDLp/4cPuDoh1a8lS6S5cu4ezZs03WCQkJkV+WuXv3bqe3TABAUlIS3n///UbfnHHy5EmX7ybz9/eHEALV1dXo0aMHsrKy8PrrrzvVmzhxIr766qtWv6aKiEitum0Yunq5ZmMOHDiAd99912n4+fPnFdf27Ha7/NDjxjiee9pUG1rarjvr8VFORET3RrcNw9YYPXo0XnnlFafhGRkZin/36tXL5ZsuiIioa+u2YRgZGYmSkhJEREQ4jWvrWyvOnDmDvLy8JutERUVhzJgxijbc+RbqsrKyJl8UHBQUhJ9//tnpyLK+vh6SJMm3ZYSHh6OsrAyRkZGK6UtKSpyGERFR47ptGCYmJuLzzz+H0Wh0Cr2srCz4+/tj2LBhrZpnSEgIEhISmqxz+20Po0aNwsaNG+UXvAK3Tp0eOXIEQ4cObXQe0dHR+Pvf/w6bzaa4X9BsNsPd3V1+we/w4cNx+PBhREREKOafm5uLGTNmtOq7ERGpWbcNQx8fH4wYMQJZWVlISEiAt7c3gFvXAcvKyjB79uxWz9Nxe0ZLBQUFwWq1ory8HAaDAZIkobq6GqdOncKUKVPkeiaTCWfPnsWIESPkUBszZgwyMjLw4IMPwt3dHXV1ddi2bZv8UlwAGDhwINLS0uR3dgkhUFlZibq6OoSEhLT6+xERqVW3DUONRoNx48YhMzMTq1atkk+NhoSEYM6cOfKpRkmS5COtOzX3lJjmuLm5Ye7cufjhhx/kN167ublh9uzZinmfOXMGubm5iI+Pl4ePHTsWGzduxCeffCKfLh00aBB69+6taN+cOXPw7bffyh17PD09kZqayncGEhG1giredF9XV4eGhgYAgLe3t+K+PyEEGhoaoNVqnaZz3M93t482s9vtuHHjBoBbR6x3zs9ut8NqtTqFrxACtbW1sNls8PDwkI9uXbXT8RABX19fBiEREfimeydeXl7w8vJyOU6SJJdBCNx9CDpoNJom/xAajcblUWhTR623c3d3b9FOARERudZtn0BDRETUUgxDIiJSvVaH4cWLF/Hkk08iKCgI3t7eGDJkCHJzc+XxQgi89dZb6NmzJ7y9vZGcnCy/Psnh2rVrWLhwIXQ6HQICAvDss8/K19SIiIjut1aF4fXr1zFu3Dh4eHhg69atOHHiBP7jP/5DcVP5n/70J3zwwQf4+OOPkZOTA19fX0ybNk3xYOyFCxeioKAAO3fuxObNm5GRkYHFixe337ciIiJqhVb1Jl22bBkyMzOxd+9el+OFEAgPD8frr7+Of/7nfwZw6x66sLAwrFq1Co8//jhOnjyJuLg4HDx4EImJiQCAbdu24eGHH8aFCxcQHh7uNN/6+nr51gTgVg+hiIiIFvcmJSIi9WlNb9JWHRlu3LgRiYmJmD9/PkJDQzFixAj87W9/k8cXFxejvLwcycnJ8jC9Xo+kpCRkZ2cDALKzsxEQECAHIQAkJydDo9EgJyfH5eeuWLFCvuFdr9e7fMQaERFRW7Xq3oGioiKsXLkSr732Gn73u9/h4MGD+Kd/+id4enpi0aJFKC8vB+D8iqSwsDB5XHl5OUJDQ5WNcHdHYGCgXOdOy5cvx2uvvSb/23Fk2JVYrVYUFxdjz549AIBJkyYhKiqqxbdvCCFw4MABxMfHu7zdQgiBqqoqbN++HWazGbGxsRg1alSj9yZ2R44n8Gzfvh11dXUYOXIkhgwZ0uitM7e7ceMG0tPTcfHiRYSFhWHSpEmKR+vdyWKxICsrCw8++CDfJtLO6urqcPToUeTn58Pb2xvTp09HcHBwi5ez1WpFZmZmo3+b2tpaZGdn4+zZsxgzZgxiY2Pv+gEbHa2mpgb79u3D+fPnERwcjOTk5BadNbNYLCgsLERWVhbc3NwwdepU9OrVS36E5bVr1/CPf/xD8Tae2z355JPw8fFp1+/SUVp1ZGi32zFy5Ei8++67GDFiBBYvXoznn38eH3/88b1qHwBAq9VCp9MpSlezefNmHD58GHPmzMGcOXOQm5uLLVu2tGhaRxD+7W9/a7Sj0alTp/DNN99g9OjRSE1NRX19PVavXt3oStwd5ebmYuPGjZg0aRJSU1Nx7do1fP31180ug6tXr+Lzzz9H7969kZqain79+uHzzz9HRUVFo9Pk5OTgz3/+c3t/BdWz2Wz46quvYDabkZqaioceegjr16/H4cOHWzS91WrFli1b8M0337gcf/XqVXz77bfw8/NDamoqSkpKsH79esVlmK7GbDbj888/R3BwMFJTUxEXF4dVq1ahtLS02Wm/++47FBUVITU1FTNnzsTu3bvlHXYA0Ol0mDNnDlJTUxUlJSUFZrO5Re+B7SpaFYY9e/Z0emHsoEGDUFJSAgDym9nv/BGpqKiQxxkMBlRWVirGW61WXLt2zenN7t1FZWUlrly5gnnz5iEkJAQhISGYP38+KioqcOXKlSantdvt+Prrr1FbW4ukpCSXdYQQyMjIwC9+8Qv06dMHwcHBmDx5MsaMGdPs+xe7C6vVitzcXDz++OPo3bs3goODMXXqVAQHB6OgoKDJaTMyMpCcnIxhw4YhODgYgwcPRkpKiuJH4XanT59GZWUlRowYcQ++ibodO3YM4eHhSE5ORnBwMCIiIvDYY48hJyen2XXZbDbjk08+Qf/+/REVFeU03m63Y8OGDXjkkUeQlJSE4OBgzJw5E2FhYYoe8V1NZmYmxo8fj4SEBAQHByM2NhazZ89udP11OHfuHABg1qxZCA4ORlhYGB577DEUFhaipqYGwK2zdsHBwU7l3LlzGDVqVIseCtJVtCoMx40bh8LCQsWwU6dOySteTEwMDAYD0tLS5PFmsxk5OTkwGo0AAKPRiKqqKsWrkHbt2gW73d7oj31b2O12XL16FcCtU7MFBQU4e/asvCdTXV2NgoICnDx5Un5UGwA0NDTAZDIp5iWEaDa0mnLhwgX07t1b8fYMjUaD8PBwXLhwoclpJUnC/PnzMWHChEZfOVVTU4OamhrFw7k1Gg2GDh2qePTc/Xbp0iUUFBSgoKAA1dXV8nC73e5yeV65cqXNe5pVVVVwc3NzOrU5cOBAnDp1qtH5WiwWlJSUoG/fvorh0dHRKCsrU6wbwK3OXFu2bMGsWbPa7QlF7e32dfj8+fMoKChQHCVcuXIFBQUFOHXqlOKo+fLly07zslqtuH79+r1vNG5tZ4WFhRg4cKBiuOPh+Hdul3fy9/fHs88+i9jYWJfjb9y4gbq6OgQHByuGDxo0CCdPnryLljtzLPcTJ04oetJfu3bNKdSFEC6XfUtYrVYUFRWhf//+iuGRkZG4fPmy4rPvdPbsWfTt21dxKlmr1UKv1zfZHovFgvz8fEW/j+6gVVvzq6++irFjx+Ldd9/FL37xCxw4cACffPIJPvnkEwC3frhfeeUV/OEPf0D//v0RExODN998E+Hh4ZgzZw6AWyve9OnT5dOrFosFS5cuxeOPP+6yJ2lb1dbWYvXq1YiMjERVVRUCAwNx/fp1VFVVwWKxIDc3F71794bNZsOxY8fwi1/8AsCtH5LNmzdjxowZCAwMlI+6PD095Y3o4sWLuHTpUpOfHxYWJl/X3LNnD1566SWnOhMnTsQnn3yC4cOHNzqfph4X55Cbm4vExEQUFBQgLS0N9fX1mDBhAkaOHNlhP9jr1q1DVVWVvMw2bdqEmTNnIj4+HgCwd+9exMfHyxvxyZMncerUKcyaNQuSJMFkMjndn3onPz8/DBw4EJIkYc+ePZgwYYJTnQEDBuAf//hHo/OoqKhAjx49nK4Zubm5ITw8HKWlpYqgXLduHWbPnt1pgxAASktLsW/fPtjtdnh4eMDPzw8XL15ESkoKTp48idLSUoSGhqKmpgYXL17ExIkTAQBr1qzB008/DT8/P3leRUVFOH78OFJTU3Hz5k2cOHGiyR0WrVaLwYMHt/pdocCtUCguLpa3xds9+OCD2Lt3b5Nvm2luW9FoNJAkyenVaD4+Pjh79myr29uYjz76CHq9Xj5qWrt2LV544QUYDAZs374dY8eOVRy5ms1mfPfdd1iyZAlsNhsKCgqcdsJuJ0kS4uLi4O3tjaqqKnh4eLg8QuvXrx9Onz6NIUOGuJzPgQMH8Nvf/tZpeHJyMjZu3IjnnnvO5XT79+/HkCFDutVRIdDKMBw1ahTWr1+P5cuX45133kFMTAz+8z//EwsXLpTr/OY3v0FNTQ0WL16MqqoqjB8/Htu2bVM8G/Trr7/G0qVLMXnyZGg0GsydOxcffPBB+32r/3Ho0CFMnz5d/sE0m8149913MWXKFPzqV7+CRqOBzWbD559/jmvXriEwMBB+fn4wGo3YsWMHHnvsMVy/fh0nT57ECy+8IM+3trZWPupszO0/KEIIlz8OkiS1yzl3IQTS09MxePBgPP3009BqtUhPT8fmzZsxc+bM+/7DbTabcfnyZTz33HPykem1a9eQmZmJ+Ph4aDQaTJ8+HZ999hmioqJgt9vx008/4YUXXpCXU0NDQ7PL+PY97Ltdxnd2tLj9/ZCO/548eRJ+fn5d4sXJe/fuxTvvvIOePXtCkiRcunQJ//Ef/4EnnngC06dPhyRJuHnzJj799FOMHz8eHh4eGDt2LPbu3Su/C9NqtWLXrl1YsGCB/O+rV682uTy9vb0V41u6ft++/F11emmPbcXX1xehoaE4e/YsBgwYIM8zIyOj3cLw3Llz0Ov1eOKJJ+T5jxw5EidPnoTBYMCUKVOwYcMGPP3003Bzc4MQArt378ZDDz0kz+P69etNHtE5Av3OYXf+u7lldufLw2+ftrHpbDYb8vPz8cwzzzQ6366q1b+SM2fOxMyZMxsdL0kS3nnnHbzzzjuN1gkMDGz0And7SkxMlIMQgNz5ZtKkSfIwNzc3uLu7Ky6gx8TE4PLly1i3bh3q6uqwcOFCxUrTv39/p9MSHa2iogK/+93v5HYmJydj7dq1OHfuHPr163df2+Lt7Y2AgACsWbMGffr0wZgxYxAQEKBYb7y8vDBz5kx89913AIBHH31UcUo3JCRE8e7Gjnb16lXs27dP/hEQQiiK48ens0hOTpaDEIB8rfr2d2Z6e3ujvr5e/uEbOXIkPvzwQ5jNZuh0OhQVFSE4OFjusObv74+pU6e2uA1CCHzzzTfytanGzJs3z+nU6L0gSRIeeeQRrFu3DgcPHkRoaCjOnDmDQYMGtfpF340JCQnBjRs3sG7dOvTp0wcjRoxARESEfJbI8eSu0tJSREdHo6qqChcvXpSPeN3c3Fye4egMhBDIysrCsGHDut1RIaCCt1a05QdKkiSMHj0av//97/Hb3/7W6TqU45ReU/r27SufEuzZsyfKysoQExOjqFNWVoaePXu2un2uPPbYY0571+PGjcNPP/1038PQw8MDCxYsQElJCYqLi/H+++/Dy8sLTzzxhHxbjSRJiIqKwqpVq+Dn54devXop2l9RUYH9+/c3+TmBgYEYP348JElCz549cenSJaedlKqqqiZfyOwIBJvNpnj1ld1uR21trXyEf+TIERQWFuL999+X6+zduxf//u//Djc3Nzz77LMICgpq+UK6Dxo7Wmiqfr9+/XDmzBmMGDECmZmZ8lEkcOuIf8+ePU0ebfj4+GDSpElwc3ODJEmKs0Yt4e/vL4fx7RwvyL5bnp6eeOKJJ3D+/HlcvnwZCxYsgM1ma3Z7bilfX1+88MILOHXqFIqKivDv//7v6NGjB5588kn4+flBkiSMHTsWWVlZiIqKQkFBAQYPHiwvY8fR+M2bNxv9DEmSMHHiRPj7+8PT0xN2ux0Wi8Xp1XSOG84bExISgsrKSqdb4S5evIhevXo51bfb7Th06FC3fVpYtw/DtrDb7di1axd+85vf4MKFC6isrFTcGxkYGOjU4eJOt1+kHz16NA4ePIjo6GjF6bcDBw5gzJgxd91eg8HgsgPA+fPnO+SUnhACNpsNkZGRiIyMxIQJE3D69Gns2bNHvh4khMDx48cxcuRI2Gw2ueOEY/n4+Pg0u4xvv79p1KhR+Otf/4oHHnhA8YNfXFyMPn36NBoCQUFBqKmpQX19vWJ+FosFV69elX+AJ0+ejMmTJyu+o91ux7JlyzrVEeHdGjt2LL766isMGDAAtbW1ivXY09MTffv2bTIMPT0927w8NBoNIiIiUFJSIu9IAv/7I/zyyy+3ab63s1qtcHNzQ1RUlHzdznGJoT3Y7XYIITBgwAAMGDAA06dPR1ZWFnJzc+VTob169cKVK1dQX1+PQ4cOKU45ajQaREVFwWKxNPoZkiTJwafT6WC321FTU4OAgAC5js1mw4ULF1z2qnUYOnQojh49iilTpsjDhBDIycnB/PnzFXWFEMjOzsbw4cO77b3LDEMXfv75Z9y4cQOzZ89GbW0tPvvsMyxZskQ+cggLC3Pam2pKVFQUtmzZghs3bshHGmazGVeuXFG8uf7q1au4fPmyIhRaIjY2FtnZ2SgtLUV4eDg0Gg2uXbuGgoICPPXUUy2eT3sxm83YvHkz5s+fL3dM6dWrF77//nu5TnV1Nfbt24fnn38eAPDxxx8jMjJSDiR/f3/FD2JzPD09ERoaiqKiIsTExECj0eDmzZvIzMzEokWL5Hr19fUoKCjA8OHD5WuMycnJ2LFjB1JSUuDh4SHvnd9+HUctdDodDAYD/va3v2H69OmKow0vL692C43GTJgwAV9//TX69esHLy8v2O12nDlzBr1795avfQshUFRUBF9f31YfLa5fvx5jx45FeHi4fN308OHDij4Bd+Ps2bM4c+YMpkyZAnd3dwghMHDgQHz99dfy+uTp6YkHHngAH330EQYMGKA45ajRaFp9ynjq1KnYvn07UlNT5fU3IyMDY8eOlesIIXDs2DH07dtX/rxhw4bh448/xrhx4+Dj4yM/tEKSJKcjSpvNhtzcXLz44ottXDKdX7cOQ1cv9HW1V6PVauUfRpPJhCNHjmD27NmQJAk+Pj548MEHkZGRIfe6ay0PDw888sgjWL16tbxBW61WzJ49W/Fjc/ToURQXF8sX95tq5+0kScKCBQuwbt061NbWyqfDUlNTG32p8b3k7+8Pg8GAzz77TN6BsFgs8nURm82Gbdu2Yc6cOfLymDNnDrZs2YLU1NQ29USUJAmzZs3CunXr5Ft7rFYrjEajojPT+fPnsWfPHvTr108+FRcbG4uioiJ89tln0Gg0sNvtCA0NbfY6UmfdQ9ZoNC57VbZke5AkCVOmTMHHH3/cIdfFdTodEhMT8fnnn8vrhru7O+bPn6/YJrKzsxEYGIiHH37Y5Xwa+9tMnDhR0bvYarUiOTm53baT6OhoHDt2DJ9++qm8HttsNsydO1dRLz4+Htu2bVP0X2irmJgYnD59Wl5/hRDo0aOH3IMfuLUTmJGRAavVipEjRwK4tT5MmzYNX3zxhfw7JITAo48+qrhkANy6TDB8+PAO+T25X1r1oO7OoiUPXxVCoK6uzmmjqK2thbe3t2IFrKurg6enp9y71Gq1Kn5MGptXa1ksFvleqYCAAKdenq4++3a3t9MVxyPZ7HY7evTo0aZQaU81NTXytQ+dTicfJTa2PG/evAkvL6+7+nGw2+3yMvDz83PaeJv6W5rNZjQ0NMDT07NFTzmqra3tlI+ias067GqZHz16FOfPn8esWbPuW5vvdPPmTdTU1ECj0SAgIMBpXW5oaIBGo2m0p7Sr7dzBZrOhqqoKQgj4+/u36HF9reVYlwDX23plZSU2btyIZ555pt220+rqatTX18PDwwM6nc7puzf2+9HQ0ACz2QxJkhAQEOAUhADk07Yded9yW7TmQd3dNgyJqPVqamrw/fffY+bMmQgMDOzo5nRLFosFmzdvVtxnS/dGa7KiW58mJaKWqa2tRVFREY4cOSI/cILal9VqxZkzZ3DixAnEx8ff917e1DSGIRGhrq4OZ8+exbRp05weV0btw263o7i4GEOHDnV6DBp1PJ4mJSKibumevdyXiIioO2IYEhGR6jEMiYhI9RiGRESkel2yN6mjz4/ZbO7glhARUWflyIiW9BPtkmHoeM+d47UoREREjamurm7yDR5AFw1Dxw3BJSUlzX7BzshsNiMiIgKlpaVd8taQrtz+rtx2oGu3vyu3HWD7O1Jb2y6EQHV1NcLDw5ut2yXD0PFsPb1e3+X+qLdzvGy4q+rK7e/KbQe6dvu7ctsBtr8jtaXtLT1gYgcaIiJSPYYhERGpXpcMQ61Wi7fffvuevHrlfmD7O05XbjvQtdvfldsOsP0d6X60vUs+m5SIiKg9dckjQyIiovbEMCQiItVjGBIRkeoxDImISPUYhkREpHpdMgz/+te/Ijo6Gl5eXkhKSsKBAwc6uknIyMjArFmzEB4eDkmSsGHDBsV4IQTeeust9OzZE97e3khOTsbp06cVda5du4aFCxdCp9MhICAAzz77LG7cuHHP275ixQqMGjUK/v7+CA0NxZw5c1BYWKioU1dXhyVLliAoKAh+fn6YO3cuKioqFHVKSkqQkpICHx8fhIaG4o033oDVar3n7V+5ciWGDh0qP53CaDRi69atXaLtd3rvvfcgSRJeeeUVeVhnbv+//uu/QpIkRYmNje0SbXe4ePEinnzySQQFBcHb2xtDhgxBbm6uPL4zb7vR0dFOy1+SJCxZsgRA517+NpsNb775JmJiYuDt7Y2+ffvi3/7t3xQP1b6vy150MWvWrBGenp7i888/FwUFBeL5558XAQEBoqKiokPbtWXLFvEv//Iv4h//+IcAINavX68Y/9577wm9Xi82bNggjhw5Ih555BERExMjbt68KdeZPn26GDZsmNi/f7/Yu3ev6Nevn1iwYME9b/u0adPEF198IY4fPy7y8/PFww8/LCIjI8WNGzfkOi+++KKIiIgQaWlpIjc3V4wZM0aMHTtWHm+1WkV8fLxITk4Whw8fFlu2bBHBwcFi+fLl97z9GzduFD/++KM4deqUKCwsFL/73e+Eh4eHOH78eKdv++0OHDggoqOjxdChQ8XLL78sD+/M7X/77bfF4MGDxaVLl+Ry+fLlLtF2IYS4du2aiIqKEr/85S9FTk6OKCoqEtu3bxdnzpyR63TmbbeyslKx7Hfu3CkAiN27dwshOvfy/+Mf/yiCgoLE5s2bRXFxsVi7dq3w8/MTf/nLX+Q693PZd7kwHD16tFiyZIn8b5vNJsLDw8WKFSs6sFVKd4ah3W4XBoNBvP/++/KwqqoqodVqxbfffiuEEOLEiRMCgDh48KBcZ+vWrUKSJHHx4sX71nYhbm1gAER6errcVg8PD7F27Vq5zsmTJwUAkZ2dLYS4tTOg0WhEeXm5XGflypVCp9OJ+vr6+9p+IYTo0aOH+PTTT7tM26urq0X//v3Fzp07xYQJE+Qw7Oztf/vtt8WwYcNcjuvsbRdCiN/+9rdi/PjxjY7vatvuyy+/LPr27SvsdnunX/4pKSnimWeeUQxLTU0VCxcuFELc/2XfpU6TNjQ0IC8vD8nJyfIwjUaD5ORkZGdnd2DLmlZcXIzy8nJFu/V6PZKSkuR2Z2dnIyAgAImJiXKd5ORkaDQa5OTk3Nf2mkwmAP/7dpC8vDxYLBZF+2NjYxEZGalo/5AhQxAWFibXmTZtGsxmMwoKCu5b2202G9asWYOamhoYjcYu0/YlS5YgJSVF0U6gayz706dPIzw8HH369MHChQtRUlLSZdq+ceNGJCYmYv78+QgNDcWIESPwt7/9TR7flbbdhoYGfPXVV3jmmWcgSVKnX/5jx45FWloaTp06BQA4cuQI9u3bhxkzZgC4/8u+S7214sqVK7DZbIo/HACEhYXh559/7qBWNa+8vBwAXLbbMa68vByhoaGK8e7u7ggMDJTr3A92ux2vvPIKxo0bh/j4eLltnp6eCAgIUNS9s/2uvp9j3L127NgxGI1G1NXVwc/PD+vXr0dcXBzy8/M7fdvXrFmDQ4cO4eDBg07jOvuyT0pKwqpVqzBw4EBcunQJv//97/HAAw/g+PHjnb7tAFBUVISVK1fitddew+9+9zscPHgQ//RP/wRPT08sWrSoS227GzZsQFVVFX75y1/K7erMy3/ZsmUwm82IjY2Fm5sbbDYb/vjHP2LhwoWKz79fy75LhSHde0uWLMHx48exb9++jm5KqwwcOBD5+fkwmUxYt24dFi1ahPT09I5uVrNKS0vx8ssvY+fOnfDy8uro5rSaYy8eAIYOHYqkpCRERUXhu+++g7e3dwe2rGXsdjsSExPx7rvvAgBGjBiB48eP4+OPP8aiRYs6uHWt89lnn2HGjBktendfZ/Ddd9/h66+/xjfffIPBgwcjPz8fr7zyCsLDwztk2Xep06TBwcFwc3Nz6g1VUVEBg8HQQa1qnqNtTbXbYDCgsrJSMd5qteLatWv37bstXboUmzdvxu7du9G7d295uMFgQENDA6qqqhT172y/q+/nGHeveXp6ol+/fkhISMCKFSswbNgw/OUvf+n0bc/Ly0NlZSVGjhwJd3d3uLu7Iz09HR988AHc3d0RFhbWqdt/p4CAAAwYMABnzpzp9MseAHr27Im4uDjFsEGDBsmnervKtnv+/Hn89NNPeO655+RhnX35v/HGG1i2bBkef/xxDBkyBE899RReffVVrFixQvH592vZd6kw9PT0REJCAtLS0uRhdrsdaWlpMBqNHdiypsXExMBgMCjabTabkZOTI7fbaDSiqqoKeXl5cp1du3bBbrcjKSnpnrZPCIGlS5di/fr12LVrF2JiYhTjExIS4OHhoWh/YWEhSkpKFO0/duyYYsXcuXMndDqd04/N/WC321FfX9/p2z558mQcO3YM+fn5cklMTMTChQvl/+/M7b/TjRs3cPbsWfTs2bPTL3sAGDdunNNtRKdOnUJUVBSAzr/tOnzxxRcIDQ1FSkqKPKyzL//a2lr5Re0Obm5usNvtADpg2bexI1CHWbNmjdBqtWLVqlXixIkTYvHixSIgIEDRG6ojVFdXi8OHD4vDhw8LAOL//t//Kw4fPizOnz8vhLjVRTggIED88MMP4ujRo2L27NkuuwiPGDFC5OTkiH379on+/fvfl+7ZL730ktDr9WLPnj2Kbtq1tbVynRdffFFERkaKXbt2idzcXGE0GoXRaJTHO7poT506VeTn54tt27aJkJCQ+9JFe9myZSI9PV0UFxeLo0ePimXLlglJksSOHTs6fdtdub03qRCdu/2vv/662LNnjyguLhaZmZkiOTlZBAcHi8rKyk7fdiFu3c7i7u4u/vjHP4rTp0+Lr7/+Wvj4+IivvvpKrtOZt10hbvWoj4yMFL/97W+dxnXm5b9o0SLRq1cv+daKf/zjHyI4OFj85je/kevcz2Xf5cJQCCH+67/+S0RGRgpPT08xevRosX///o5ukti9e7cA4FQWLVokhLjVTfjNN98UYWFhQqvVismTJ4vCwkLFPK5evSoWLFgg/Pz8hE6nE08//bSorq6+52131W4A4osvvpDr3Lx5U/zqV78SPXr0ED4+PuLRRx8Vly5dUszn3LlzYsaMGcLb21sEBweL119/XVgslnve/meeeUZERUUJT09PERISIiZPniwHYWdvuyt3hmFnbv9jjz0mevbsKTw9PUWvXr3EY489prhHrzO33WHTpk0iPj5eaLVaERsbKz755BPF+M687QohxPbt2wUApzYJ0bmXv9lsFi+//LKIjIwUXl5eok+fPuJf/uVfFLd03M9lz/cZEhGR6nWpa4ZERET3AsOQiIhUj2FIRESqxzAkIiLVYxgSEZHqMQyJiEj1GIZERKR6DEMiIlI9hiEREakew5CIiFSPYUhERKr3/wFg/g77JelZywAAAABJRU5ErkJggg==", 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", 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" ] @@ -1327,7 +1433,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 7, "metadata": { "slideshow": { "slide_type": "slide" @@ -1388,13 +1494,48 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "-" } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==> Training agent \"Elbert Burris\"\n", + "Eval num_timesteps=20000, episode_reward=-12.68 +/- 1.14\n", + "Episode length: 25.00 +/- 0.00\n", + "New best mean reward!\n", + "Eval num_timesteps=40000, episode_reward=-6.83 +/- 0.99\n", + "Episode length: 25.00 +/- 0.00\n", + "New best mean reward!\n", + "Eval num_timesteps=60000, episode_reward=-5.39 +/- 0.63\n", + "Episode length: 25.00 +/- 0.00\n", + "New best mean reward!\n", + "Eval num_timesteps=80000, episode_reward=-4.44 +/- 1.16\n", + "Episode length: 25.00 +/- 0.00\n", + "New best mean reward!\n", + "Eval num_timesteps=100000, episode_reward=-6.54 +/- 3.02\n", + "Episode length: 25.00 +/- 0.00\n", + "Eval num_timesteps=120000, episode_reward=-5.23 +/- 1.42\n", + "Episode length: 25.00 +/- 0.00\n", + "Eval num_timesteps=140000, episode_reward=-5.56 +/- 2.26\n", + "Episode length: 25.00 +/- 0.00\n", + "Eval num_timesteps=160000, episode_reward=-5.25 +/- 1.20\n", + "Episode length: 25.00 +/- 0.00\n", + "Eval num_timesteps=180000, episode_reward=-5.87 +/- 1.80\n", + "Episode length: 25.00 +/- 0.00\n", + "Eval num_timesteps=200000, episode_reward=-3.96 +/- 0.93\n", + "Episode length: 25.00 +/- 0.00\n", + "New best mean reward!\n", + "CPU times: user 10min 30s, sys: 14min 2s, total: 24min 33s\n", + "Wall time: 3min 12s\n" + ] + } + ], "source": [ "# Toggle comment to re-run the training (can take very long)\n", "%time train_ares_ea(config)" @@ -1417,7 +1558,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -1427,12 +1568,12 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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" ] @@ -1480,7 +1621,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -1489,14 +1630,14 @@ "text": [ "Evaluation results (2000 evaluations)\n", "----------------------------------------\n", - "==> Mean MAE = 5.207024056733189e-05\n", - "==> RMSE = 7.323487962575908e-05\n", + "==> Mean MAE = 4.252006037913247e-05\n", + "==> RMSE = 7.291721011269485e-05\n", "==> Mean no. of steps = 25.0\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -1525,18 +1666,21 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 12, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "ValueError", + "evalue": "You have passed a tuple to the predict() function instead of a Numpy array or a Dict. You are probably mixing Gym API with SB3 VecEnv API: `obs, info = env.reset()` (Gym) vs `obs = vec_env.reset()` (SB3 VecEnv). See related issue https://github.com/DLR-RM/stable-baselines3/issues/1694 and documentation for more information: https://stable-baselines3.readthedocs.io/en/master/guide/vec_envs.html#vecenv-api-vs-gym-api", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[12], line 13\u001b[0m\n\u001b[1;32m 11\u001b[0m observation \u001b[38;5;241m=\u001b[39m env\u001b[38;5;241m.\u001b[39mreset()\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mwhile\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m done:\n\u001b[0;32m---> 13\u001b[0m action, _ \u001b[38;5;241m=\u001b[39m \u001b[43mloaded_model\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mpredict\u001b[49m\u001b[43m(\u001b[49m\u001b[43mobservation\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 14\u001b[0m observation, reward, done, info \u001b[38;5;241m=\u001b[39m env\u001b[38;5;241m.\u001b[39mstep(action)\n\u001b[1;32m 16\u001b[0m img \u001b[38;5;241m=\u001b[39m env\u001b[38;5;241m.\u001b[39mrender(mode\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mrgb_array\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", + "File \u001b[0;32m/opt/homebrew/anaconda3/envs/rl-icfa/lib/python3.10/site-packages/stable_baselines3/common/base_class.py:553\u001b[0m, in \u001b[0;36mBaseAlgorithm.predict\u001b[0;34m(self, observation, state, episode_start, deterministic)\u001b[0m\n\u001b[1;32m 533\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mpredict\u001b[39m(\n\u001b[1;32m 534\u001b[0m \u001b[38;5;28mself\u001b[39m,\n\u001b[1;32m 535\u001b[0m observation: Union[np\u001b[38;5;241m.\u001b[39mndarray, Dict[\u001b[38;5;28mstr\u001b[39m, np\u001b[38;5;241m.\u001b[39mndarray]],\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 538\u001b[0m deterministic: \u001b[38;5;28mbool\u001b[39m \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mFalse\u001b[39;00m,\n\u001b[1;32m 539\u001b[0m ) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m Tuple[np\u001b[38;5;241m.\u001b[39mndarray, Optional[Tuple[np\u001b[38;5;241m.\u001b[39mndarray, \u001b[38;5;241m.\u001b[39m\u001b[38;5;241m.\u001b[39m\u001b[38;5;241m.\u001b[39m]]]:\n\u001b[1;32m 540\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 541\u001b[0m \u001b[38;5;124;03m Get the policy action from an observation (and optional hidden state).\u001b[39;00m\n\u001b[1;32m 542\u001b[0m \u001b[38;5;124;03m Includes sugar-coating to handle different observations (e.g. normalizing images).\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 551\u001b[0m \u001b[38;5;124;03m (used in recurrent policies)\u001b[39;00m\n\u001b[1;32m 552\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m--> 553\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mpolicy\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mpredict\u001b[49m\u001b[43m(\u001b[49m\u001b[43mobservation\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mstate\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mepisode_start\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdeterministic\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m/opt/homebrew/anaconda3/envs/rl-icfa/lib/python3.10/site-packages/stable_baselines3/common/policies.py:355\u001b[0m, in \u001b[0;36mBasePolicy.predict\u001b[0;34m(self, observation, state, episode_start, deterministic)\u001b[0m\n\u001b[1;32m 352\u001b[0m \u001b[38;5;66;03m# Check for common mistake that the user does not mix Gym/VecEnv API\u001b[39;00m\n\u001b[1;32m 353\u001b[0m \u001b[38;5;66;03m# Tuple obs are not supported by SB3, so we can safely do that check\u001b[39;00m\n\u001b[1;32m 354\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(observation, \u001b[38;5;28mtuple\u001b[39m) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(observation) \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m2\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(observation[\u001b[38;5;241m1\u001b[39m], \u001b[38;5;28mdict\u001b[39m):\n\u001b[0;32m--> 355\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 356\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mYou have passed a tuple to the predict() function instead of a Numpy array or a Dict. \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 357\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mYou are probably mixing Gym API with SB3 VecEnv API: `obs, info = env.reset()` (Gym) \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 358\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mvs `obs = vec_env.reset()` (SB3 VecEnv). \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 359\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mSee related issue https://github.com/DLR-RM/stable-baselines3/issues/1694 \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 360\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mand documentation for more information: https://stable-baselines3.readthedocs.io/en/master/guide/vec_envs.html#vecenv-api-vs-gym-api\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 361\u001b[0m )\n\u001b[1;32m 363\u001b[0m obs_tensor, vectorized_env \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mobs_to_tensor(observation)\n\u001b[1;32m 365\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m th\u001b[38;5;241m.\u001b[39mno_grad():\n", + "\u001b[0;31mValueError\u001b[0m: You have passed a tuple to the predict() function instead of a Numpy array or a Dict. You are probably mixing Gym API with SB3 VecEnv API: `obs, info = env.reset()` (Gym) vs `obs = vec_env.reset()` (SB3 VecEnv). See related issue https://github.com/DLR-RM/stable-baselines3/issues/1694 and documentation for more information: https://stable-baselines3.readthedocs.io/en/master/guide/vec_envs.html#vecenv-api-vs-gym-api" + ] } ], "source": [ @@ -1583,7 +1727,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 13, "metadata": { "slideshow": { "slide_type": "slide" @@ -1601,7 +1745,7 @@ "" ] }, - "execution_count": 20, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -1698,6 +1842,35 @@ "theme": "simple", "transition": "none" }, + "varInspector": { + "cols": { + "lenName": 16, + "lenType": 16, + "lenVar": 40 + }, + "kernels_config": { + "python": { + "delete_cmd_postfix": "", + "delete_cmd_prefix": "del ", + "library": "var_list.py", + "varRefreshCmd": "print(var_dic_list())" + }, + "r": { + "delete_cmd_postfix": ") ", + "delete_cmd_prefix": "rm(", + "library": "var_list.r", + "varRefreshCmd": "cat(var_dic_list()) " + } + }, + "types_to_exclude": [ + "module", + "function", + "builtin_function_or_method", + "instance", + "_Feature" + ], + "window_display": false + }, "vscode": { "interpreter": { "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1"