diff --git a/.editorconfig b/.editorconfig new file mode 100644 index 00000000..3e4b48e5 --- /dev/null +++ b/.editorconfig @@ -0,0 +1,36 @@ +# This file is part of the tschm/.config-templates repository +# (https://github.com/tschm/.config-templates). +# +root = true + +# Default settings for all files +[*] +end_of_line = lf +trim_trailing_whitespace = true +insert_final_newline = true +charset = utf-8 + +# Python, reStructuredText, and text files +[*.{py,rst,txt}] +indent_style = space +indent_size = 4 + +# YAML, JSON, and other config files +[*.{yml,yaml,json}] +indent_style = space +indent_size = 2 + +# Markdown files +# [*.{md,markdown}] +# trim_trailing_whitespace = false + +# Don't apply editorconfig rules to vendor/ resources +# This is a "defensive" rule for the day we may have +# the vendor folder +[vendor/**] +charset = unset +end_of_line = unset +indent_size = unset +indent_style = unset +insert_final_newline = unset +trim_trailing_whitespace = unset diff --git a/.flake8 b/.flake8 deleted file mode 100644 index 0550400a..00000000 --- a/.flake8 +++ /dev/null @@ -1,5 +0,0 @@ -[flake8] -max-line-length = 120 -extend-ignore = E203 -per-file-ignores = - tests/test_imports.py:F401 \ No newline at end of file diff --git a/.github/workflows/codecov.yml b/.github/workflows/codecov.yml index 7e3afd99..ea8b6262 100644 --- a/.github/workflows/codecov.yml +++ b/.github/workflows/codecov.yml @@ -49,7 +49,7 @@ jobs: - name: Upload coverage to Codecov # if false in order to skip for now if: false - uses: codecov/codecov-action@v3 + uses: codecov/codecov-action@v5 with: files: ./coverage.xml fail_ci_if_error: true diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml index 4ba4ce6c..96dbc752 100644 --- a/.github/workflows/main.yml +++ b/.github/workflows/main.yml @@ -14,7 +14,44 @@ concurrency: cancel-in-progress: true jobs: + code-quality: + runs-on: ubuntu-latest + + steps: + - uses: actions/checkout@v5 + + - uses: actions/setup-python@v6 + with: + python-version: '3.13' + + - name: install pre-commit + run: python3 -m pip install pre-commit + + - name: Checkout code + uses: actions/checkout@v5 + with: + fetch-depth: 0 + + - name: Get changed files + id: changed-files + run: | + CHANGED_FILES=$(git diff --name-only ${{ github.event.pull_request.base.sha }} ${{ github.sha }} | tr '\n' ' ') + echo "CHANGED_FILES=${CHANGED_FILES}" >> $GITHUB_ENV + + - name: Print changed files + run: | + echo "Changed files: $CHANGED_FILES" + + - name: Run pre-commit on changed files + run: | + if [ -n "$CHANGED_FILES" ]; then + pre-commit run --color always --files $CHANGED_FILES --show-diff-on-failure + else + echo "No changed files to check." + fi + pytest: + needs: code-quality name: py${{ matrix.python-version }} on ${{ matrix.os }} runs-on: ${{ matrix.os }} env: @@ -53,15 +90,3 @@ jobs: - name: Test with pytest run: | pytest ./tests - - - name: Check with isort - run: | - isort --check --diff . - - - name: Check with black - run: | - black --check --diff . - - - name: Check with flake8 - run: | - flake8 --show-source --statistics . diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml new file mode 100644 index 00000000..a1c8a676 --- /dev/null +++ b/.pre-commit-config.yaml @@ -0,0 +1,15 @@ +repos: + - repo: https://github.com/pre-commit/pre-commit-hooks + rev: v6.0.0 + hooks: + - id: check-toml + - id: check-yaml + + - repo: https://github.com/astral-sh/ruff-pre-commit + rev: 'v0.14.5' + hooks: + - id: ruff + args: [ --fix, --exit-non-zero-on-fix, --unsafe-fixes ] + + # Run the formatter + - id: ruff-format diff --git a/cookbook/1-RiskReturnModels.ipynb b/cookbook/1-RiskReturnModels.ipynb index cd262eae..3da6e9e0 100644 --- a/cookbook/1-RiskReturnModels.ipynb +++ b/cookbook/1-RiskReturnModels.ipynb @@ -1,388 +1,391 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "LSMMfr_pzwIP" - }, - "source": [ - "# 1 - Risk and return models\n", - "\n", - "\n", - "In this section, we compare how well the different risk models predict an out-of-sample covariance matrix, and how well the different returns models predict out-of-sample returns.\n", - "\n", - "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/1-RiskReturnModels.ipynb)\n", - " \n", - "[![Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/PyPortfolio/PyPortfolioOpt/blob/main/cookbook/1-RiskReturnModels.ipynb)\n", - " \n", - "[![Gradient](https://assets.paperspace.io/img/gradient-badge.svg)](https://console.paperspace.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/1-RiskReturnModels.ipynb)\n", - " \n", - "[![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/pyportfolio/pyportfolioopt/blob/master/cookbook/1-RiskReturnModels.ipynb)\n", - "\n", - "## Risk models" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "ajpb4cfuzzCd", - "outputId": "c075b649-0764-4b2d-cd48-65d6a85e7003" - }, - "outputs": [], - "source": [ - "!pip install pandas numpy matplotlib PyPortfolioOpt\n", - "import os\n", - "if not os.path.isdir('data'):\n", - " os.system('git clone https://github.com/pyportfolio/pyportfolioopt.git')\n", - " os.chdir('PyPortfolioOpt/cookbook')" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 35 - }, - "id": "3aAcuLOKzwIT", - "outputId": "456251e3-a9fd-4e83-8847-44cb43dbb422" - }, - "outputs": [ - { - "data": { - "text/plain": [ - "'1.5.6'" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import pypfopt\n", - "from pypfopt import risk_models, expected_returns, plotting\n", - "pypfopt.__version__" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "plt.style.use(\"seaborn-v0_8-deep\")" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 577 - }, - "id": "7qZAgKeXzwIV", - "outputId": "ab5103ba-600c-4a48-9133-651831294447" - }, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "df = pd.read_csv(\"data/stock_prices.csv\", parse_dates=True, index_col=\"date\")\n", - "past_df, future_df = df.iloc[:-250], df.iloc[-250:]\n", - "future_cov = risk_models.sample_cov(future_df)\n", - "\n", - "sample_cov = risk_models.sample_cov(past_df)\n", - "plotting.plot_covariance(sample_cov, plot_correlation=True)\n", - "plotting.plot_covariance(future_cov, plot_correlation=True)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Qq12G1OWzwIW" - }, - "source": [ - "We can see that visually, the sample covariance does not capture some of the new features of the covariance matrix, for example the highly correlated group of FAANG stocks. We may be able to improve this by using an exponentially-weighted covariance matrix, which gives more weight to recent data. We can also look at how each model predicts future variance." - ] + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "LSMMfr_pzwIP" + }, + "source": [ + "# 1 - Risk and return models\n", + "\n", + "\n", + "In this section, we compare how well the different risk models predict an out-of-sample covariance matrix, and how well the different returns models predict out-of-sample returns.\n", + "\n", + "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/1-RiskReturnModels.ipynb)\n", + " \n", + "[![Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/PyPortfolio/PyPortfolioOpt/blob/main/cookbook/1-RiskReturnModels.ipynb)\n", + " \n", + "[![Gradient](https://assets.paperspace.io/img/gradient-badge.svg)](https://console.paperspace.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/1-RiskReturnModels.ipynb)\n", + " \n", + "[![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/pyportfolio/pyportfolioopt/blob/master/cookbook/1-RiskReturnModels.ipynb)\n", + "\n", + "## Risk models" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 265 - }, - "id": "Ig1n6qISzwIW", - "outputId": "69e03da8-4df2-44a2-ad9e-ede97215ca9b" - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "future_variance = np.diag(future_cov)\n", - "mean_abs_errors = []\n", - "\n", - "risk_methods = [\n", - " \"sample_cov\",\n", - " \"semicovariance\",\n", - " \"exp_cov\",\n", - " \"ledoit_wolf\",\n", - " \"ledoit_wolf_constant_variance\",\n", - " \"ledoit_wolf_single_factor\",\n", - " \"ledoit_wolf_constant_correlation\",\n", - " \"oracle_approximating\",\n", - "]\n", - "\n", - "for method in risk_methods:\n", - " S = risk_models.risk_matrix(df, method=method)\n", - " variance = np.diag(S)\n", - " mean_abs_errors.append(np.sum(np.abs(variance - future_variance)) / len(variance))\n", - " \n", - "xrange = range(len(mean_abs_errors))\n", - "plt.barh(xrange, mean_abs_errors)\n", - "plt.yticks(xrange, risk_methods)\n", - "plt.show()" - ] + "id": "ajpb4cfuzzCd", + "outputId": "c075b649-0764-4b2d-cd48-65d6a85e7003" + }, + "outputs": [], + "source": [ + "!pip install pandas numpy matplotlib PyPortfolioOpt\n", + "import os\n", + "\n", + "if not os.path.isdir(\"data\"):\n", + " os.system(\"git clone https://github.com/pyportfolio/pyportfolioopt.git\")\n", + " os.chdir(\"PyPortfolioOpt/cookbook\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 35 }, + "id": "3aAcuLOKzwIT", + "outputId": "456251e3-a9fd-4e83-8847-44cb43dbb422" + }, + "outputs": [ { - "cell_type": "markdown", - "metadata": { - "id": "__2md9QLzwIX" - }, - "source": [ - "We can see that the exponential covariance matrix is a much better estimator of future variance compared to the other models. Its mean absolute error is 2%, which is actually pretty good. Let's visually compare the exponential cov matrix to the realised future cov matrix:" + "data": { + "text/plain": [ + "'1.5.6'" ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "import pypfopt\n", + "from pypfopt import expected_returns, plotting, risk_models\n", + "\n", + "pypfopt.__version__" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"seaborn-v0_8-deep\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 577 }, + "id": "7qZAgKeXzwIV", + "outputId": "ab5103ba-600c-4a48-9133-651831294447" + }, + "outputs": [ { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 577 - }, - "id": "y4PjMrS0zwIX", - "outputId": "ef412b6e-8bc5-4a62-a26f-6e9932bc8453" - }, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "exp_cov = risk_models.exp_cov(past_df)\n", - "plotting.plot_covariance(exp_cov, plot_correlation=True)\n", - "plotting.plot_covariance(future_cov, plot_correlation=True)\n", - "plt.show()" + "data": { + "image/png": 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", + "text/plain": [ + "
" ] + }, + "metadata": {}, + "output_type": "display_data" }, { - "cell_type": "markdown", - "metadata": { - "id": "V7OAivD9zwIY" - }, - "source": [ - "## Returns\n", - "\n", - "What about returns? Will the exponentially-weighted returns similarly be the best performer?" + "data": { + "image/png": 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VHh4eBm1Pnz6Ns2fPIioqCmfOnEFcXFyxOZ2dnbFhwwbExcVhwoQJJfZh7969iImJQVhYWFlOgYiIiB4gJq/DYm9vjyFDhmDixIn4/fffDfb9+uuvGDRoELZt22awPTw8HIsXL8aoUaOM5v3hhx9QtWpVvPDCC9DpdKXqy4cffojjx4/j3Llzpp4GERGRzeFKt8aZXLD07NkTXl5eWLZsGbKysgz2rV+/HkqlskjBsnTpUqxbtw4ZGRnF5pw0aRL69euHXr16oVKlSvD29jbYn5mZidu3bxc57vTp01i1ahXGjx9v6mkQERHZHBnPErLjXUJ3KJVKxMbGFilWgDsFS2BgYJFpIZ1Ohxs3bhgdORkzZgwcHR0RExODtLS0IjFgwACj/fn4449hZ1cx3xwiIiK6w+QRlt69exvdd+TIESgUd5YELvz/4pw4ccJg/yOPPFKq1753TRcASE5OhrOzc6mOJyIismUFUKDAzKX1zT3eVvFZQkRERDaCU0LGVcyzIiIiIpOMGTMGSUlJyM/Px8GDBxEYGHjf9m+//TbOnj2LvLw8XLx4EXPnzoWTk5PF+vfQj7B4ngcqFb2et8zU7nKH4p56z/idVWV18KvvpOfsPGKE1Hz51eR/NOtFq0puZILsuvL/Ybpvqyw9p0ey3PPWutpLzQcAdn97Ss+Z6yP3M2SvlpoOAKAo3Q2RpVbwTIDchABuV5U/vVDjuMQfugCut6shNZ+bs6PUfKaQsVKtXRmO79+/P+bOnYtRo0bh0KFDmDBhAmJiYtC4cWNcu3atSPtBgwZh5syZCAkJwZ9//gl/f3+sWLECQgi8++67ZvXfGI6wEBER2YgCoZASppo4cSKWLl2KFStW4MyZMxg1ahTy8vKKfewOADz99NPYv38/oqKikJycjO3btyMqKgpt2rQx91tgFAsWIiKiCujeB/46OhY/cuTg4IBWrVohNjZWv00IgdjYWLRr167YY/7880+0atVKP23UoEEDvPjii/jtt9/kn8j/PfRTQkRERLaiQMKUkP3/j7/3Ib/Tpk0r9hl81atXR6VKlZCenm6wPT093ejjb6KiolC9enXs27cPCoUCDg4OWLx4sUVXn2fBQkREZCMKhB0KzLzLp/B4X19fg+fmqVTyrmfr1KkTJk+ejDFjxuDQoUNo2LAh5s+fjylTpuCzzz6T9jp3Y8FCRERUAZX2Qb/Xr1+HVqstssq8t7c30tLSij3m008/xcqVK/UPKj59+jTc3NywZMkSfP755xBCmH8C9+A1LERERDZCB4WUMIVGo8GxY8fQpUsX/TaFQoEuXbrgwIEDxR7j6uqKggLD50IXrmZ/v4VjzWF2wbJ8+XIIIfRx/fp1REdHo1mzZkXafvfdd9Bqtejbt2+RfZ988olBnoyMDOzZswcdO3Ys9nU//PBDaLVaTJo0ydxTICIisgmFU0Lmhqnmzp2LESNGYMiQIWjSpAkWL14MNzc3LF++HAAQERGBL774Qt9+8+bNGD16NAYMGID69evjueeew6efforNmzcXKWRkkTLCEh0dDR8fH/j4+KBLly7QarXYsmWLQRsXFxcMHDgQX375pdHbpE6fPq3P065dOyQkJGDLli1Fnk0EACEhIffNRURERKWzdu1aTJo0CTNmzMDx48cREBCAbt264erVqwAAPz8/1KpVS9/+s88+w5w5c/DZZ5/hn3/+wbJlyxATE4ORI0darI9SrmFRqVT6q4vT09Mxc+ZM7Nu3D9WrV8f169cBAP369cM///yDmTNnIjU1FXXq1MHly5cN8mi1WoM8H3/8MUJCQuDv74+jR4/q23Xs2BEuLi74+OOPMWTIELRr187osBUREdGDQgeYPKVTXI6yWLRoERYtWlTsvqCgIMPX0OkwY8YMzJgxo4yvZjrp17C4ubnh9ddfR0JCAm7cuKHfrlQqERkZiaysLERHR2PYsGH3zePo6Ijg4GDcunUL586dM9inVCoRFRUFrVaLqKgoKJXKEvvl6OhY5J50IiIiW2KtKaEHgZSz6tmzp/5q5JycHPTu3RsDBgzQXyXcsGFDPPXUU1izZg0AIDIystgnLzdr1kyfJz8/H5MmTcKgQYMMrnJ2d3dH3759ERkZqc/Vv39/uLm53bePoaGhyMrK0se996cTERGR7ZJSsOzcuRMBAQEICAhAYGAgYmJiEB0dDT8/PwB3rjeJiYnRj7j89ttv8PT0xLPPPmuQ59y5c/o8rVq1wuLFi7Fu3Tq0atVK32bQoEFITEzEyZMnAQAnTpxAcnIyBgwYcN8+hoWFwcPDQx++vr4yTp2IiEiawqc1mxsVkZSzys3NRWJiIhITE3H06FEMHz4cbm5uGDFiBOzs7DB06FD06NEDGo0GGo0GeXl5qFatWpELZtVqtT7P8ePHERoaipSUFEyYMEHfRqlU4oknntDn0mg0ePzxx0u8+FatVutHb0p7bzoREVF5ElCgwMwQZl4DY6sssnCcEAIFBQVwcXHBiy++CHd3d7Ro0UJ/jzYANG3aFMuXL4enpycyMzON5tLpdHBxcdEf07p1a3Tu3Bk3b97Ut6latSp27dqFxo0bF7nehYiIiB58UgoWJycn/Qp5Xl5eGDduHCpXrozNmzdjwoQJ2Lp1q34Kp9A///yDr7/+GoMHD8a33357pzOVKunzuLu7Y8CAAXjiiScwa9YsAHdGVw4fPoy9e/cW6cORI0egVCrx/vvvyzglIiKicidjSodTQvfRvXt3pKWlIS0tDYcOHUJgYCD69euHM2fOoEePHli/fn2RY4QQ2LBhg8EdPk2bNtXnOX78OPr3749Ro0Zh5cqVcHBwwOuvv15sLgBYv349hgwZgkqV+LQBIiJ6MBUIhZSoiMz+7R4cHFzsHT+FjD3OGgDGjh2r/+/p06cX+xTJQhqNBjVq1DC6/6uvvsJXX31VQm+JiIjoQcThCCIiIhuhgx10Zk5+mHu8raqYZ0VEREQVykM/wuJ0SwddflkXMi7KXiW3BtS4yp+L7DxihPScu5YulZqv2dwxUvMBgNrdWWq+jGZaqfkAoOZ+e+k5G8+Mk5rvQERLqfkAwCNZ/vfS5Ya8f9cAcKW9/PfGIU/uz4uMR12l5gMApwwhPafaU+6vnpy6cn9OCifrXQMi4xoUXsNCREREFlUAOxSYOflh7vG2qmKeFREREVUoHGEhIiKyETqhgM7MKR1zj7dVLFiIiIhsBK9hMY5TQkRERGTzOMJCRERkI4SwQ4GZS+uLCro0PwsWIiIiG6GDAjozn7Zs7vG2qtzKsOXLl0MIoY/r168jOjoazZo1K9L2u+++g1arRd++fYvN9eijjyI8PByXLl3C7du3ceHCBfz0009o1aqVpU+DiIiIrKBcx42io6Ph4+MDHx8fdOnSBVqtFlu2bDFo4+LigoEDB+LLL79ESEhIkRytWrXCsWPH4O/vj5EjR+Lxxx/HK6+8grNnz2LOnDnldSpERETSFQgZD0C09llYRrlOCalUKqSnpwMA0tPTMXPmTOzbtw/Vq1fH9evXAQD9+vXDP//8g5kzZyI1NRV16tTB5cuX9TlWrFiBhIQEdOjQAUL8966cOHEC8+fPN/rajo6OcHJy0n/t7u4u+/SIiIjMUiDhGhZzj7dVVjsrNzc3vP7660hISMCNGzf025VKJSIjI5GVlYXo6GgMGzZMvy8gIABNmzbFnDlzDIqVQpmZmUZfLzQ0FFlZWfpISUmRej5ERERkOeVasPTs2RPZ2dnIzs5GTk4OevfujQEDBuiLj4YNG+Kpp57CmjVrAACRkZEIDg7WH9+oUSMAwNmzZ01+7bCwMHh4eOjD19dXwhkRERHJUwCFlKiIyrVg2blzJwICAhAQEIDAwEDExMQgOjoafn5+AICQkBDExMToR1x+++03eHp64tlnnwUAKBRlfxPUarW+WCoMIiIiW1K40q25URGVa8GSm5uLxMREJCYm4ujRoxg+fDjc3NwwYsQI2NnZYejQoejRowc0Gg00Gg3y8vJQrVo1/cW38fHxAIAmTZqUZ7eJiIjIyqy6DosQAgUFBXBxccGLL74Id3d3tGjRAjrdf4+Fb9q0KZYvXw5PT08cP34ccXFxePfdd7FmzZoi17F4enre9zoWIiIiW8aLbo0r17NycnKCt7c3vL290aRJEyxYsACVK1fG5s2boVQqsXXrVpw8eRJxcXH6WLt2LTIyMjB48GAAQHBwMPz9/bF37150794dDRo0QLNmzTB58mRs3LixPE+HiIhIqgKYe0szr2GRonv37khLS0NaWhoOHTqEwMBA9OvXD2fOnEGPHj2wfv36IscIIbBhwwYolUoAwJEjR9C6dWucP38eS5cuxZkzZ7Bp0yY88cQTmDBhQnmeDhEREZWTcpsSCg4ONrjj516Ojo5G940dO9bg64SEBIPbnYmIiCoCIeEuH1FBR1j4LCEiIiIbUTitY26OiqhiXplDREREFcpDP8KS522P3Nv20vK53CyQlgsA7DPkPxQiv5r8t73Z3DFS852a+K3UfADQ7t1RUvM5ZMj73BTyTMyTnvPI4hZS8ymc5H8mFVr5ObVucv8eq3ZCfh9VHnL/EnZLk/vzBwCy6sn/u9YtTe730iNJ7nm7Ocv/PpYW7xIy7qEvWIiIiGwFp4SMq5hlGBEREVUoHGEhIiKyETKeBcR1WIiIiIishCMsRERENoLXsBjHgoWIiMhGsGAxrtynhJYvXw4hhD6uX7+O6OhoNGvWTN/m7v0ajQbJycmYM2cOHB0d0bFjR6jVarRv394gr6urKxITE/HVV1+V9ykRERGRhVnlGpbo6Gj4+PjAx8cHXbp0gVarxZYtWwzaDBs2DD4+PmjQoAHGjBmDN954A1OmTMGePXuwYMECrFixAq6urvr2X375JfLz8zFlypTyPh0iIiIpzH7woYQRGltllYJFpVIhPT0d6enpOHHiBGbOnAk/Pz9Ur15d3yYjIwPp6em4fPkytm7dio0bN6Jly5YAgMmTJ0OtVmPWrFkAgM6dO2P48OEYMmQIVCqVNU6JiIjIbCxYjLP6NSxubm54/fXXkZCQgBs3bhTbplGjRnj22WexYsUKAHcKniFDhuDPP//E9u3bMW/ePHzxxRf466+/jL6Oo6MjnJyc9F+7u7tLPQ8iIiKyHKsULD179kR2djYAoHLlykhNTUXPnj0hxH/LNUdFRUGn06FSpUpwdnbG5s2bERYWpt9/7NgxhIWF4ZdffsHff/+Nzz///L6vGRoaimnTplnkfIiIiGQQMH8dFfkPkbANVpkS2rlzJwICAhAQEIDAwEDExMQgOjoafn5++jbvvPMOAgIC0Lx5c/To0QP+/v5YuXKlQZ5PP/0U9vb2mDlzJnQ63X1fMywsDB4eHvrw9fW1yLkRERGVFaeEjLPKCEtubi4SExP1Xw8fPhyZmZkYMWIEpk6dCgBIS0vTt4mPj4e7uztWr16NKVOm6LcXFilarbbE11Sr1VCr1bJPhYiIiMqB1a9hAe7cxlxQUAAXFxejbQqLk/u1ISIiepBxHRbjrFKwODk5wdvbGwDg5eWFcePGoXLlyti8ebO+TZUqVeDt7Q07Ozs0atQIH3/8Mc6dO4czZ85Yo8tEREQWx4LFOKsULN27d0daWhoAICsrC2fPnkW/fv2we/dufZvCO4IKCgqQlpaGPXv2YPLkySVeq0JEREQVT7kXLMHBwQgODr5vG4Wi9NWhKW2JiIhsGUdYjLOJa1iIiIgIEEIBYWbBYe7xtsoqtzUTERERmYIjLERERDaiAAqzF44z93hb9dAXLHaaOyHLjcfs5SUDoPGQv2ZhvWj5z1tSuztLzdfu3VFS8wHAgTnfSc3X6c03peYDgJuPu5bcyEQqL7k/vBQWuO79aksH6Tnr7MqTmi/tKfnvTfVTcteGck7JlpoPAByzPaTn1DnL/Uw6ZRRIzefoIjefKXgNi3GcEiIiIiKMGTMGSUlJyM/Px8GDBxEYGHjf9p6enli4cCFSU1Nx+/ZtnDt3Dt27d7dY/x76ERYiIiJbYa2Lbvv374+5c+di1KhROHToECZMmICYmBg0btwY165dK9LewcEB27dvx9WrV9G3b1+kpKSgXr16yMjIMKvv98OChYiIyEZYa0po4sSJWLp0qX4NtFGjRqFHjx4ICQnBrFmzirQPCQlB1apV8fTTT+sfj5OcnGxWv0vCKSEiIqIKyN3d3SAcHR2Lbefg4IBWrVohNjZWv00IgdjYWLRr167YY3r37o0DBw5g0aJFSEtLw6lTpxAaGgo7O8uVFSxYiIiIbEThlJC5AQApKSnIysrSR2hoaLGvWb16dVSqVAnp6ekG29PT0+Hj41PsMY888gj69u0Le3t7vPjii/j000/x7rvvYsqUKXK/IXfhlBAREZGNEBKmhAoLFl9fX2Rn/3fnmEol7w5ROzs7XL16FW+++SYKCgrw119/wdfXF++99x5mzJgh7XUMXtMiWc3g7e2NefPmISEhAfn5+UhLS8O+ffswatQo/ZOak5KSIIQoEh988IGVe09ERGQbsrOzDUKtLv42+uvXr0Or1eofSlzI29tb/9y/e125cgXx8fEoKPjvFvAzZ86gVq1acHCQv0wBYGMjLA0aNMD+/fuRkZGByZMn49SpU1CpVGjWrBnefPNNpKSk6J/oPHXqVCxdutTg+LsrSSIiogeNACDMXH7L1MM1Gg2OHTuGLl26YOPGjQDuPKevS5cuWLhwYbHH7N+/H6+99hoUCgXE/zvs7++P1NRUaDQSFze7i00VLN9++y20Wi1at26NvLz/Fn1KSkrCpk2bDNpmZ2cXmW+7H0dHRzg5Oem/dnd3N7/DREREFcDcuXMRERGBo0eP4vDhw5gwYQLc3NywfPlyAEBERARSUlIwefJkAMDixYsxbtw4zJ8/HwsWLECjRo0wefJkfPPNNxbro80ULFWrVkXXrl0xefJkg2JFltDQUEybNk16XiIiIlmstTT/2rVrUaNGDcyYMQM+Pj44fvw4unXrhqtXrwIA/Pz8DKZ/Ll++jBdeeAFff/01Tp48iZSUFMyfP7/YW6BlsZmCpWHDhrCzs8O5c+cMtl+7dg3OzneWfV+0aBE+/PBDAMCsWbPw2WefGbTt3r079u3bV2z+sLAwzJ07V/+1u7s7UlJSZJ4CERGRWaz5tOZFixZh0aJFxe4LCgoqsu3gwYNGb3u2BJspWIxp06YN7OzssGrVKoMpna+++kq/wE2h+xUgarXa6AVHREREZNtspmA5f/48CgoK0LhxY4PtSUlJAID8/HyD7devX0diYmK59Y+IiMjS+PBD42zmtuabN29i+/btGDduHFxd5T8VlYiIyNYJIScqIpspWIA7T4qsVKkSjh49iv79+6NJkybw9/fH4MGD0aRJE+h0/z3X3t3dHd7e3gbBO3+IiIgqJpsqWC5cuIAWLVogNjYWYWFhOHHiBI4ePYq33noLs2fPxtSpU/VtP/30U6SlpRnEl19+acXeExERmUfm0vwVjc1cw1IoLS0N48ePx/jx4422adCgQTn2iIiIqHxY8y4hW2dTIyxERERExbG5ERYiIqKHFe8SMu6hL1icMnXQ5etKblhKdlq5g1aVVPIv986u61RyIxNlNNNKzeeQYS81HwB0evNNqfl2L1kiNR8APDN+pPSctx6X+8PL9Yr8gdmax+U/eySnjrPUfDpHqekAABo3uZ/z2029pOYDgBxf+e931bNy3++rreQ+bM/NyXq/GmXc5cO7hIiIiIis5KEfYSEiIrIVd0ZYzL3oVlJnbAwLFiIiIhvBu4SM45QQERER2TyOsBAREdkI8f8wN0dFxIKFiIjIRnBKyDhOCREREZHNs4mCxdvbG/PmzUNCQgLy8/ORlpaGffv2YdSoUXBxcQEAJCUlQQiBAQMGFDn+9OnTEEJg6NCh5d11IiIieYSkqICsPiXUoEED7N+/HxkZGZg8eTJOnToFlUqFZs2a4c0330RKSgo2b94MALh48SKCg4OxZs0a/fFt27aFj48PcnJyrHUKREREcsh4eGEFnRKyesHy7bffQqvVonXr1sjLy9NvT0pKwqZNmwzarlq1Cu+88w7q1KmDy5cvAwBCQkKwatUqDBky5L6v4+joCCen/1Z4dXd3l3gWREREZElWnRKqWrUqunbtikWLFhkUK8akp6cjJiZGP/Xj4uKCAQMGIDw8vMRjQ0NDkZWVpY+UlBSz+09ERCRT4dL85kZFZNWCpWHDhrCzs8O5c+cMtl+7dg3Z2dnIzs7GzJkzDfaFh4dj2LBhAIC+ffsiMTERJ06cKPG1wsLC4OHhoQ9fX19p50FERCRD4V1C5kZFZBMX3d6rTZs2CAgIQFxcnME0DgBs3boVlStXRseOHRESElKq0RUAUKvV+iKoMIiIiOjBYNVrWM6fP4+CggI0btzYYHtSUhIAID8/v8gxOp0OK1euxPTp09G2bVu88sor5dJXIiIiixMK8y+a5QiLfDdv3sT27dsxbtw4uLq6lvq48PBwdO7cGRs3bkRGRoblOkhEREQ2wep3CY0ZMwb79+/H0aNHMW3aNJw8eRIFBQUIDAxEkyZNcOzYsSLHnD17FtWqVSvVhbpEREQPChkXzVbUi26tXrBcuHABLVq0wOTJkxEWFoY6depApVLhn3/+wezZs/Htt98We9zNmzfLuadEREQWxocJGWX1ggUA0tLSMH78eIwfP95omwYNGtw3h5eXl+xuERERkY2wiYKFiIiI+PDD+2HBQkREZEsq6JSOuR76giW9jT1y1PbS8tmrJFe2j8lfL8Z9W2XpOWvul/c9BADPRPkXVN98vPR3opXGM+NHSs0HAPu++V56znaTRknNd7uK1HQAgMtBcj8/AOC3TSM1X351p5IbmUryjwuv/ZfkJgSg6eonPafsX8j1NmdIzefq5gRMlpqSJHjoCxYiIiJbwSkh41iwEBER2QreJWSUTS7NT0RERHQ3jrAQERHZDAXMv7iJU0JERERkSZwSMopTQkRERGTzylSweHt7Y968eUhISEB+fj7S0tKwb98+jBo1Ci4uLvp27dq1w9atW3Hz5k3k5+fj5MmTeOedd2BnV/Rle/TogV27diErKwu5ubk4fPgwhg4dWuzr9+nTB3/88Qdu3ryJvLw8nD17FsuWLUNAQEBZToeIiMg2CElRAZlcsDRo0AB///03unbtismTJ6NFixZo164dvvzyS/Ts2RPPPfccAODll1/G7t27cfnyZQQFBaFJkyaYP38+pkyZgtWrVxvkHDduHDZu3Ij9+/ejbdu2ePLJJ7F69Wp89913+Oqrrwzazpw5E2vWrMHx48fRu3dvNG7cGK+99houXLiAsLAwM74VREREViYUcqICMvkalm+//RZarRatW7c2eFpyUlISNm3aBABwdXXF0qVLsWnTJowc+d/iWsuWLUN6ejo2b96M/v37Y+3atahTpw7mzJmDefPm4aOPPtK3nTt3LtRqNRYsWIB169bh8OHDaNu2LT744AOMHz8eCxYs0Le9dOkS/vrrrzJ9A4iIiMj2mTTCUrVqVXTt2hWLFi0yKFbu1bVrV1SvXh2zZ88usm/Lli04d+4cBg0aBADo27cvHB0di237/fffIzs7W9920KBByM7ONvoE5/txdHSEu7u7QRAREdkSIeRERWRSwdKwYUPY2dnh3LlzBtuvXbuG7OxsZGdnY+bMmfD39wcAnDlzptg8Z8+e1bfx9/dHRkYG0tLSirTTaDS4cOGCQdsLFy5Ap9Pp27zzzjv6187OzoaHh0exrxkaGoqsrCx9pKSkmHLqRERElsdrWIyScpdQmzZtEBAQgLi4ODg5/fe8DYXC8vNo4eHhCAgIwMiRI1G5cmWjrxkWFgYPDw99+Pr6WrxvREREJIdJBcv58+dRUFCAxo0bG2xPSkpCYmIi8vPzAQDx8fEAgMcee6zYPI899pi+TXx8PKpUqYJatWoVaefg4IBHH31U3zYhIQGPPPIIKlX679KbzMxMJCYmljhiolarDUZisrPlP1SQiIjILLzo1iiTCpabN29i+/btGDduHFxdjT/59vfff8eNGzfw7rvvFtnXq1cv+Pv7IyoqCgCwfv16qNXqYtuOGjUKlStX1reNioqCu7s7xowZY0q3iYiIHggKIScqIpPvEhozZgz279+Po0ePYtq0aTh58iQKCgoQGBiIJk2a4NixY8jLy8PIkSOxevVqfP/991i4cCGysrLQpUsXfPXVV1i3bh3Wrl0L4M4dPu+//z7mzJmD27dvY+XKldBoNHjppZfwxRdfYPbs2Th8+DAA4ODBg5g9ezbmzJmDevXq4ZdffsGlS5dQq1YtKJVKFBQUoKCgQO53iIiIiKzO5ILlwoULaNGiBSZPnoywsDDUqVMHKpUK//zzD2bPnq2/g2f9+vUICgrCRx99hL1798LZ2RkJCQn4/PPPMW/ePIOc8+fPx4ULFzBp0iS8/fbbsLe3R1xcHEaPHo0VK1YYtH3vvfdw+PBhjB49GiEhIXB1dUV6ejr27NmDdu3acaqHiIgeXFya36gyPUsoLS0N48ePx/jx4+/bbt++fejevXupcm7evBmbN28uVdt169Zh3bp1pWpLRET0wJBxDQqvYSEiIiKyDj6tmYiIyFZwSsgojrAQERGRzXvoR1jqRecjL08tLV9WfWdpuQBAdU3+IwQ8klXSczaeGSc135HFLaTmAwCVl9x53VuPy58nbjdplPScB2Z/JzWf/4rRUvMBgO8u+Xf35fk4SM2nscDTPAquyf0M3ehUV2o+AHC9qiu5kakk/9P5t3cVqfncnByl5jMJR1iMeugLFiIiIpvBgsUoTgkRERGRzWPBQkREZCusuDT/mDFjkJSUhPz8fBw8eBCBgYGlOm7AgAEQQmDDhg1let3SYsFCRERkI6y1NH///v0xd+5cTJ8+HS1btsSJEycQExODGjVq3Pe4evXqYfbs2dizZ08Zz7j0WLAQERE95CZOnIilS5dixYoVOHPmDEaNGoW8vDyEhIQYPcbOzg6rVq3CJ598ggsXLli8jyxYiIiIbIWQFADc3d0NwtGx+LufHBwc0KpVK8TGxv7XDSEQGxuLdu3aGe3qxx9/jKtXryI8PNycMy41qxUsy5cv1893LV++HEIICCGgUqmQkJCAqVOnwt7eHgDQqVMnCCFw8+ZNODk5GeRp3bq1/lgiIiK6IyUlBVlZWfoIDQ0ttl316tVRqVIlpKenG2xPT0+Hj49Psce0b98eSqUSI0aMkN5vY2zmtubo6GgEBwfDyckJL774IhYtWgSNRoOZM2fq22RnZ+OVV17B6tWr9duUSiWSk5NRr149a3SbiIjIJvn6+ho8EFilkrMGV+XKlbFy5UqMGDECN27ckJKzNGxmSkilUiE9PR0XL17Ed999h9jYWPTu3dugTUREhMF8mrOzMwYOHIiIiIgS8zs6OhYZHiMiIrIlCki46Pb/ubKzsw1CrS5+kdTr169Dq9XC29vbYLu3tzfS0tKKtH/00UfRoEEDbN68GRqNBhqNBkOGDEHv3r2h0WjwyCOPSP6u3GEzBcu98vPzi8y3rVy5Eh06dEDdundWc3z11Vfx77//4q+//ioxX2hoqMHQWEpKikX6TUREVGZWuK1Zo9Hg2LFj6NKli36bQqFAly5dcODAgSLtz549i6ZNmyIgIEAfmzZtws6dOxEQEIBLly6Z/W0ojk0WLF26dMELL7yAHTt2GGy/evUqoqOjMWzYMABASEhIqS/2CQsLg4eHhz58fX1ld5uIiOiBNHfuXIwYMQJDhgxBkyZNsHjxYri5uWH58uUA7sxwfPHFFwDuzIjExcUZREZGBrKzsxEXFweNRmORPtrMNSw9e/ZEdnY2HBwcYGdnh59++gnTpk0r0i48PBzz589HZGQk2rVrh379+qFDhw4l5ler1UaHw4iIiGyClZbmX7t2LWrUqIEZM2bAx8cHx48fR7du3XD16lUAgJ+fHwoK5D/zyxQ2U7Ds3LkTo0ePhlqtRmpqKnS64h+4FR0djSVLlmDZsmXYvHkzbt68Wc49JSIishArPkto0aJFWLRoUbH7goKC7ntscHBw2V7UBDZTsOTm5iIxMbHEdjqdDj/++CM++OADdOvWrRx6RkRERNZmk9ewlGTq1KmoXr06YmJirN0VIiIiaay1NP+DwGojLHZ2dtBqtWU6VqPRlOu930REROXCilNCts5qBUvNmjVx/vx5ACXPfe3evRsKhfHbtDZu3Hjf/URERPRgK/cpoSpVqqBHjx7o3LmzwXMLiIiIHnoSnyVU0ZT7CEt4eDgCAwMxZ84cbNy4sbxfnoiIyGbJuAaF17BI0qdPn/J+yfvKaOiC3Nv20vLpnKWlAgCoLfAEAa2rvPMtdCCipdR8Cif5/+IUxd8pX2auV+QPUN6uIj0l/FeMlpovfthiqfkAoNW/cvsIAO6XynaNnDEaN/nTzrk+cj9DnklyzxkAtC7yz1vrIvdnUJXzctcHcXOx7nojVDybua2ZiIjooVeGpfWLzVEBsWAhIiKyFbxLyKgHch0WIiIierhwhIWIiMhG8KJb4zjCQkRERDaPIyxERES2gtewGGUTIyzLly+HEAKLFxe9XXLhwoUQQmD58uUG25966ilotVps2bKlvLpJRERkWTKeI8SCxbIuXryIgQMHwtn5v4VMnJyc8NprryE5OblIe6VSiQULFqBjx46oVatWeXaViIiIypnNFCx//fUXLl26ZLCwXJ8+fXDx4kX8/fffBm3d3NwwYMAALF68GFu3bsWwYcPKubdEREQWwKX5jbKZggW4s2z/3Q9CDAkJKTIVBAD9+/fH2bNnER8fj8jISISEhJSY29HREe7u7gZBRERkU1iwGGVTBUtkZCSeeeYZ+Pn5wc/PD+3bt0dkZGSRdkqlUr9927Zt8PT0RKdOne6bOzQ0FFlZWfpISUmxyDkQERGRfDZVsFy/fl0/xRMcHIytW7fixo0bBm38/f3Rpk0bREVFAQB0Oh3WrFkDpVJ539xhYWHw8PDQh6+vr8XOg4iIqCzMveBWxjoutsrmbmsODw/HwoULAQBjx44tsl+pVMLBwQGpqan6bQqFAiqVCuPGjUNWVlaxedVqNdRqtWU6TURERBZlUyMswJ0pHkdHRzg4OCAmJsZgn729PYYMGYKJEyciICBAH82bN0dqaioGDRpkpV4TERGRJdncCEtBQQEee+wx/X/frWfPnvDy8sKyZcuKjKSsX78eSqUS33//fbn1lYiISCouHGeUzY2wAEB2djays7OLbFcqlYiNjS122mf9+vUIDAxEs2bNyqOLRERE0vEaFuNsYoTl7luZi/PKK6+UmOPIkSNQKBSyukREREQ2xCYKFiIiIvq/CjpCYi4WLERERLaC17AYZZPXsBARERHd7aEfYVG7K6B2lHftS56v3NLW47HrUvMBgN3fntJzeiRrpeZTaOX/iXC1pYPUfDWPa6TmA4DLQfbSc/ruKii5kQla/Ttaaj4AODat6JPazdXl9fsvJmkqp0z5n0mXq3LXhnL8M05qPgC49WqA9JxOmTqp+Vyu5EvN5+oq/992acm4aJYX3RIREZFlcUrIKE4JERERkc3jCAsREZGN4JSQcSxYiIiIbAWnhIzilBARERHZPI6wEBER2QqOsBglZYRl+fLlEEJg8eKityYuXLgQQggsX77coO29ER0djU6dOhW77+7o1KkTAMDX1xcqlQqnTp2ScQpERERWx2cJGSdthOXixYsYOHAg3nnnHdy+fRsA4OTkhNdeew3JyckGbaOjo4s8P0ilUiE3Nxc+Pj76bfPnz4eHh4dB25s3bwIAhg0bhrVr16Jjx45o06YNDh8+LOtUiIiIyMZIK1j++usvPProo+jTpw9++uknAECfPn1w8eJFJCUlGbRVqVRIT08vNs/d2/Pz8+Hk5FRs2+DgYIwZMwaXL1+GUqkssWBxdHSEk5OT/mt3d/dSnxsREVG54JSQUVIvug0PDzcYDQkJCdFPBckUFBQEV1dXxMbGIjIyEgMHDoSrq+t9jwkNDUVWVpY+UlJSpPeLiIiILENqwRIZGYlnnnkGfn5+8PPzQ/v27REZGVmkXc+ePZGdnW0QoaGhpX4dpVKJ1atXo6CgAHFxcbhw4QL69et332PCwsLg4eGhD19fX5PPj4iIyKKEpKiApN4ldP36dWzduhXDhg2DQqHA1q1bcePGjSLtdu7cidGjDZ9HUnhtSkk8PT3Rp08fPPPMM/ptkZGRUCqViIiIMHqcWq2GWi33uR1EREQyceE446Tf1hweHo6FCxcCAMaOHVtsm9zcXCQmJpYp/2uvvQYXFxccOnRIv02hUMDe3h6NGjVCQkJCmfISERGR7ZK+cNy2bdvg6OgIBwcHxMTEyE4PpVKJ2bNnIyAgQB/NmzfHnj17EBISIv31iIiIyg2nhIySPsJSUFCAxx57TP/fxXFycoK3t7fBNq1WW+z00d2aN2+OVq1aYfDgwTh37pzBvqioKHz88ceYMmUKdDq5jy4nIiIqD5wSMs4iS/MXXkhrTPfu3ZGWlmYQ+/btKzGvUqlEXFxckWIFADZs2ICaNWvixRdfNKvvREREZHukjLDcuwjcvV555RWDtiW1N5Z3/PjxRtump6ejUiU+aYCIiB5gXIfFKP6GJyIishUsWIzi05qJiIjI5nGEhYiIyEYo/h/m5qiIHvqCpcp5DRzzNdLy1dqXJy0XAKhqeErNBwC5PvLfdpcbcu/M0rrJH/yrs0vue5NTx1lqPgDw2ybvs1goz8dBaj73S1qp+QCgy+tK6Tn/iFwmNd9zr8lfNqGgktxfLZffaik1HwBUPSP//dY5yT3v7AZuUvPpXByl5jMJp4SM4pQQERER2byHfoSFiIjIVnAdFuNYsBAREdkKTgkZxSkhIiIisnksWIiIiGyJlZ4jNGbMGCQlJSE/Px8HDx5EYGCg0bbDhw/Hnj17cPPmTdy8eRPbt2+/b3sZWLAQERHZiMJrWMwNU/Xv3x9z587F9OnT0bJlS5w4cQIxMTGoUaNGse07d+6MqKgoBAUFoV27drh06RJ+//131K5d28zvgHFWK1iWL18OIQSEEFCpVEhISMDUqVNhb2+PTp066ffdHZ9++ikAGN0vhCjyUEUiIiK6v4kTJ2Lp0qVYsWIFzpw5g1GjRiEvLw8hIcXfzv/6669j8eLFOHHiBM6dO4fhw4fDzs4OXbp0sVgfrXrRbXR0NIKDg+Hk5IQXX3wRixYtgkajwYEDBwAA/v7+yMrK0rfPyckxOP7e/QBw9epVy3eciIjIEiRedOvu7m6wWaVSQa1WF2nu4OCAVq1aISws7L8UQiA2Nhbt2rUr1Uu6urrCwcEBN2/eLHu/S2DVgkWlUiE9PR0A8N133+GVV15B79699QXL1atXkZmZafT4kvbfzdHREU5OTvqv730jiYiIrE3mbc0pKSkG26dNm4bp06cXaV+9enVUqlRJ//u4UHp6Opo0aVKq15w1axZSU1MRGxtbtk6Xgk3d1pyfn49q1apZJHdoaCimTZtmkdxERES2xtfXF9nZ2fqvVSqVRV7ngw8+wMCBA9G5c2eLvQZgQxfddunSBS+88AJ27Nih33b58mVkZ2fro2rVqgbH3Lv/9OnTRvOHhYXBw8NDH76+vhY7FyIiojIx9w6hu6aU7v79mJ2dXex0EABcv34dWq22yDWg3t7eSEtLu2933333XXz44Yfo2rUrTp06VZYzLjWrjrD07NkT2dnZcHBwgJ2dHX766SdMmzZNf2tUhw4dDKrDW7duGRx/736NxvhzWNRqtdE3i4iIyBZYY6VbjUaDY8eOoUuXLti4ceOdHAoFunTpgoULFxo97r333sNHH32EF154AceOHTOny6Vi1YJl586dGD16NNRqNVJTU6HTGT5ALykp6b7XqJS0n4iIiEo2d+5cRERE4OjRozh8+DAmTJgANzc3LF++HAAQERGBlJQUTJ48GQDw/vvvY8aMGXjttdfw77//6kdncnJykJuba5E+WrVgyc3NRWJiojW7QEREZDustDT/2rVrUaNGDcyYMQM+Pj44fvw4unXrpr/z1s/PDwUFBfr2o0ePhpOTE9avX2+Qx9iFvTLY1EW3pqpZsyacnZ0Ntt24cQNarfzHoRMREVVkixYtwqJFi4rdFxQUZPB1gwYNyqNLBh7ogiU+Pr7ItqeeegqHDh2yQm+IiIjMxIcfGmW1giU4ONjovt27d0OhUJR5PxER0YPIGhfdPihs5rZmIiIiImMe6CkhIiKiCoVTQkY99AWL1tUOWoW8gabrLT2k5QKAAnup6QAA9hZYjuZKe7kdrXZC/r+4tKdcpebTOUpNBwDIr+5UciMTaSQ/hULjJn861ilT/vv93GvFP7StrGJ/CpeaDwA6K0dIzVctzvhaVGVmgV9+9pIXQ015oaDkRiao7KAruZGFKISAQpj3TTf3eFvFKSEiIiKyeQ/9CAsREZHN4JSQUSxYiIiIbATvEjKOU0JERERk8zjCQkREZCs4JWQUCxYiIiIbwSkh48ptSmj58uUQQkAIAbVajQsXLmDWrFlwcvrvNs7C/UIIZGZm4vDhw+jdu3eRXH369MHOnTuRkZGB7OxsnDhxAlOnToWXl1d5nQ4RERGVo3K9hiU6Oho+Pj545JFH8M4772DkyJFFnuo4bNgw+Pj4oHXr1ti/fz9+/vlnNG3aVL//s88+w5o1a3DkyBF0794dTZs2xbvvvovmzZvjjTfeKM/TISIikktIigqoXKeEVCoV0tPTAQCXL19GbGwsnn/+eXz44Yf6NhkZGUhPT0d6ejqmTp2KCRMmICgoCKdPn0ZgYCA++ugjvP322/jmm2/0xyQnJyM2Nhaenp7leTpERERScUrIOKtdw/LEE0/g6aefRnJycrH77e3toVQqAQBq9Z2lWQcPHozs7Gx8++23xR6TmZlp9PUcHR0Npp/c3SUv/0lEREQWU64FS8+ePZGdnY1KlSrB2dkZOp0O48aNM2gTFRUFnU4HFxcX2NvbIykpCWvXrgUANGrUCBcuXIBWqzX5tUNDQzFt2jQZp0FERGQZvEvIqHK9hmXnzp0ICAhA27ZtsWLFCixfvhy//PKLQZt33nkHAQEB6N69O+Li4jB8+HDcunULAKBQlP0ZJmFhYfDw8NCHr6+vWedCRERkCYXTQmWNiqpcC5bc3FwkJibi5MmTCAkJQdu2bRESYviAsrS0NCQmJmL79u0IDg7GmjVrUKNGDQBAfHw8HnnkEVSqZPrAkFqtRnZ2tkEQERHRg8FqK90KIfDFF1/gs88+g7Ozc7Ftjhw5gmPHjuGjjz4CAPz0009wd3fHmDFjim3Pi26JiOiBJoScqICsujT/unXroNPpMHbsWKNt5s2bh5EjR6J27do4fPgwZs2ahTlz5mDWrFl46qmn4Ofnh2effRZr167F0KFDy7H3REREcpk7HVSRp4WsWrDodDosXLgQ77//PlxdXYtts23bNiQlJelHWT788EO89tpraNu2LWJiYhAXF4e5c+fi5MmTiIiIKM/uExERUTkpt7uEgoODi90+a9YszJo1C4Dxi2off/xxg6/XrVuHdevWye0gERGRtfEuIaP4LCEiIiIboSi4E+bmqIisOiVEREREVBocYSEiIrIVnBIy6qEvWDSV7aCuJG+gSedY9sXtiuOeYvqqviVR6KSnhEOe3ME6lYfc7yMAVD+llppP42YvNR8AQP5po+Ca3KS5PvIHZl2uyn1vAKCgktzz7qwcITUfAOxatlRqvmeHKKXmA4D8mg7Sc7qma6Tm8w+Xm8/VVQC86dTmPPQFCxERka3gww+NY8FCRERkK2Qs/MaF44iIiIisgyMsRERENoJTQsaxYCEiIrIVvEvIKE4JERERkc2TUrBUr14d3377LZKTk3H79m1cuXIF27Ztw9NPPw0ASEpKghACQghotVqkpKTghx9+QJUqVfQ5hg4dilu3bhWbXwiBl156CQDQvXt3qFQqtGjRwqDNxIkTce3aNXh7e8s4JSIionLHhx8aJ6VgWb9+PVq0aIGhQ4fC398fvXv3xq5du1CtWjV9m6lTp8LHxwd+fn4YPHgwOnbsiG+++cbk14qOjsaPP/6IH3/8EY6OjgCAxx57DJ999hnGjh2L9PR0GadERERU/grvEjI3KiCzr2Hx9PREx44d0alTJ+zZswcAcPHiRRw5csSgXXZ2tr6YSE1NRUREBAYNGlSm13znnXdw6tQpTJ8+HVOmTEFERAQ2b96MtWvXGj3G0dERTk5O+q/d3d3L9NpERERU/swuWHJycpCdnY2XX34ZBw8ehFpd8oqVtWvXRq9evXDo0KEyv2ZISAhiYmLQoEED1K1bF926dbvvMaGhoZg2bVqZXo+IiKg88C4h48yeEtLpdBg2bBiGDh2KjIwM7Nu3D59//jmaNWtm0G7WrFnIzs5GXl4eUlJSIITAxIkTy/y6O3fuxM8//4wBAwZg/PjxuHnz5n3bh4WFwcPDQx++vr5lfm0iIiKLEJKiApJyDcsvv/yC2rVro3fv3ti2bRs6d+6Mv/76C0OH/vcwhq+++goBAQF48skn8eyzzwIAtm7dCju7snWhdu3a6NatG3Jzc9GhQ4cS26vVamRnZxsEERERPRik3dasUqkQGxuLzz77DO3bt8eKFSswffp0/f7r168jMTER58+fx86dOzFhwgS0b98eQUFBAICsrCy4ublBoTB8YJmnpycAIDMz02D70qVLcezYMfTs2ROjR49Gx44dZZ0KERGRVfAuIeMstg7LP//8Azc3N6P7dbo7jwx2cXEBAJw7dw4ODg4ICAgwaNeyZUsAQHx8vH6bUqnEM888A6VSiV27dmHx4sUIDw+Hq6ur5LMgIiIqRwVCTlRAZhcsVatWxR9//IHBgwejWbNmqF+/Pvr27Yv3338fGzdu1Ldzd3eHt7c3fHx8EBgYiK+++gpXr17Fn3/+CeBOgRMTE4Pw8HA8++yzqF+/Pl544QV8++23WL16NVJTUwEAfn5+mDt3LiZNmoSLFy8CAD744AMIITBz5kxzT4eIiIhskJS7hA4dOoR33nkHjz76KBwcHHDp0iUsXboUX3zxhb7dp59+ik8//RQAcPXqVRw5cgRdu3Y1uFh2wIABmD59Or7//nvUrl0bly9fxoYNG/THAcCyZctw4MABLF26VL8tPz8fw4YNw65du/Dzzz/rb68mIiJ6oHBpfqPMLljUajUmT56MyZMnG23ToEGDUuXKzMzEhAkTMGHCBKNtnn/++WK379+/Hw4ODqV6HSIiIlukgITbmqX0xPbwWUJERERk8/i0ZiIiIlshY2l9Ls1fMVXfeRGuOSpp+URevrRcAKAz8kBIcxQ8EyA9Z8ajcu/QcksrkJoPAJxT5K69c7upl9R8AOC1/5L0nDc61ZWazzNJKzUfADj+GSc95+W3WkrNVy1OIzUfADw7RCk1344fl0nNBwCdh4+QnlPlJfdXT3ZdR6n51M5y85mCK90axykhIiIisnkP/QgLERGRzeBdQkaxYCEiIrIRCiGgMPMaFHOPt1WcEiIiIiKbxxEWIiIiW1Hw/zA3RwXEERYiIiKyeQ9kwSKEuG988skn1u4iERGRyQqvYTE3KqIHsmDx8fHRx9tvv43MzEyDbbNnz7Z2F4mIiEwnJEUZjBkzBklJScjPz8fBgwcRGBh43/Z9+/bFmTNnkJ+fj5MnT6J79+5le+FSeiALlvT0dH1kZmZCCGGwLTc319pdJCIiemD0798fc+fOxfTp09GyZUucOHECMTExqFGjRrHt27Vrh6ioKCxbtgwtWrTAr7/+il9//RVPPPGExfr4QBYsZeHo6Ah3d3eDICIisimFS/ObGyaaOHEili5dihUrVuDMmTMYNWoU8vLyEBISUmz7t99+G9u2bcPs2bNx9uxZfPzxx/jrr78wbtw4c78DRj00BUtoaCiysrL0kZKSYu0uERERGShcmt/cAFDkj3RHx+IfOeDg4IBWrVohNjZWv00IgdjYWLRr167YY9q1a2fQHgBiYmKMtpfhoSlYwsLC4OHhoQ9fX19rd4mIiMhiUlJSDP5QDw0NLbZd9erVUalSJaSnpxtsT09Ph4+PT7HH+Pj4mNRehodmHRa1Wg21Wm3tbhARERkn8WnNvr6+yM7+76GvKpW8B/1aw0NTsBAREdk6RcGdMDcHAGRnZxsULMZcv34dWq0W3t7eBtu9vb2RlpZW7DFpaWkmtZfhoZkSIiIioqI0Gg2OHTuGLl266LcpFAp06dIFBw4cKPaYAwcOGLQHgOeff95oexk4wkJERGQrJE4JmWLu3LmIiIjA0aNHcfjwYUyYMAFubm5Yvnw5ACAiIgIpKSmYPHkyAGD+/PnYvXs3Jk6ciK1bt2LgwIFo3bo13nzzTfP6fh8PfMESERGBiIgIa3eDiIjIfGYs/GaQw0Rr165FjRo1MGPGDPj4+OD48ePo1q0brl69CgDw8/NDQcF/c1UHDhzAa6+9hs8++wxffPEFEhIS8PLLLyMuLs7Mzhv3wBcsREREZL5FixZh0aJFxe4LCgoqsu3nn3/Gzz//bOlu6bFgISIishEyngVUUZ8lxIKFiIjIVljpGpYHwUNfsFzr4ofc2/LWZ7FXyf2gCHuF1HwAcLuq/JxOGXLPO6ue/BvYHLM9pObL8ZXfR01XP+k5Xa/qpObTusj//Nx6NUB6zqpntHITWuB3QH5NB6n5Og8fITUfAOz6Yan0nB3HyL0w0ynTzPuA7+GolpuP5HjoCxYiIiKbIQCYWy9VzAEWFixERES2gtewGMeF44iIiMjmcYSFiIjIVghIuOhWSk9sDgsWIiIiW8G7hIzilBARERHZvHIpWHbu3Imvv/66yPahQ4fi1q1bBtt8fX2hUqlw6tSp++Z86qmnoNVqsWXLFql9JSIispoCSVEB2dwIy7Bhw7B27Vp4eHigTZs2RtsplUosWLAAHTt2RK1atcqxh0RERJZReJeQuVER2VzBEhwcjJUrV+Knn36CUqksto2bmxsGDBiAxYsXY+vWrRg2bFj5dpKIiIjKlU0VLEFBQXB1dUVsbCwiIyMxcOBAuLq6FmnXv39/nD17FvHx8YiMjERISEiJuR0dHeHu7m4QRERENqXwoltzowKyqYJFqVRi9erVKCgoQFxcHC5cuIB+/foV2y4yMhIAsG3bNnh6eqJTp073zR0aGoqsrCx9pKSkWOQciIiISD6bKVg8PT3Rp08ffSECAJGRkUWmhfz9/dGmTRtERUUBAHQ6HdasWWN0+qhQWFgYPDw89OHr6yv/JIiIiMzBERajymUdlqysLHh6ehbZXqVKFWRmZgIAXnvtNbi4uODQoUP6/QqFAvb29mjUqBESEhIA3BldcXBwQGpqqkE7lUqFcePGISsrq9g+qNVqqNXyHnJIREQkHddhMapcRljOnTuHli1bFtnesmVLxMfHA7hTiMyePRsBAQH6aN68Ofbs2aO/RsXe3h5DhgzBxIkTi7RLTU3FoEGDyuN0iIiIqJyVywjL4sWLMW7cOMyfPx8//PADVCoVevTogUGDBqFXr15o3rw5WrVqhcGDB+PcuXMGx0ZFReHjjz/GlClT0LNnT3h5eWHZsmVFRlLWr18PpVKJ77//vjxOiYiISD4Z66hwHZayS0pKQseOHdGkSRPExsbi0KFD6N+/P/r164eYmBgolUrExcUVKVYAYMOGDahZsyZefPFFKJVKxMbGFjvts379egQGBqJZs2blcUpERETScR0W48rtWUJHjx7FCy+8UOy+8ePHGz0uPT0dlSrd6ebmzZuNtjty5AgUCoV5nSQiIiKbxIcfEhER2QpedGsUCxYiIiJbUSDuhLk5KiCbWYeFiIiIyJiHfoTFNV0L5Gul5XPMkLvWy42mRR9NYK4ax29Lz6n2lPtRckuT/xeCzlnuNU5Vz2qk5gMAWOIPI8mXdmld7OUmBOCUqZOeU+ck98TtVVLTAQBc0+V+hlRe8n+kdxzzpvSce75dIjVf11eHSs3n4mrF22w4JWTUQ1+wEBER2Q4ZK9VWzIKFU0JERERk8zjCQkREZCs4JWQUCxYiIiJbwbuEjOKUEBEREdk8jrAQERHZClFwJ8zNUQFJHWEZOXIksrKyYG//322Pbm5uUKvV2Llzp0HbTp06QQiBRx55BElJSRBCYMCAAUVynj59GkIIDB06VH/M/aJTp04yT4mIiKj8FF7DYm5UQFILlp07d8Ld3R2tW7fWb+vQoQPS0tLQtm1bODk56bcHBQUhOTkZFy5cAABcvHgRwcHBBvnatm0LHx8f5OTkAAD+/PNP+Pj46GPNmjWIjo422Pbnn3/KPCUiIiKyAVILlvj4eKSmpqJz5876bZ07d8bGjRuRlJSEp556ymD73aMuq1atQqdOnVCnTh39tpCQEKxatQpa7Z2F3TQaDdLT0/WRn58PlUplsE2jKX4hJkdHR7i7uxsEERGRTSm86NbcqICkX3S7c+dOBAUF6b8OCgrCrl27sHv3bv12Z2dntG3b1qBgSU9PR0xMDIYOvbNioYuLCwYMGIDw8HAp/QoNDUVWVpY+UlJSpOQlIiKShlNCRlmkYGnfvj3s7e1RuXJltGjRArt378aePXv0Iy/t2rWDs7NzketawsPDMWzYMABA3759kZiYiBMnTkjpV1hYGDw8PPTh6+srJS8RERFZnvSCZdeuXahcuTICAwPRoUMHxMfH4/r169i9e7f+OpbOnTsjMTERly5dMjh269atqFy5Mjp27IiQkBBpoysAoFarkZ2dbRBEREQ2RUDCCIu1T8IypN/WXFiIBAUFwcvLC7t37wYAXLlyBZcuXcLTTz+NoKAg7Nixo8ixOp0OK1euxPTp09G2bVu88sorsrtHRERku7jSrVEWWThu586d6Ny5Mzp37oxdu3bpt+/Zswfdu3dHmzZtikwHFQoPD9dfqJuRkWGJ7hEREdEDxiILx+3cuROLFi2Cg4ODfoQFAHbv3o2FCxfCycnJaMFy9uxZVKtWDXl5eZboGhERke0qKLgT5uaogCxWsLi6uuLMmTO4evWqfvvu3bvh4eGBs2fPIi0tzejxN2/etES3iIiI6AFlkYIlOTkZCoWiyPaLFy8Wu71Bgwb3zefl5VXs9nsXmiMiInqg8RoWo/gsISIiIlvBgsUoPq2ZiIiIbN5DP8LifC0fBbkqa3fDKO/d16TnvN6uhvScOXWLTvWZwyNJ/kVjThlyc15t5SA1HwDU25whPee/vatIzVflvPz3xuVKvvSc2Q3cpOZLeUH+efuHF/8okbLKrusoNR8AOGXKP++urw6Vmu/39RFS80FRGcD7cnOWloyl9Svo0vwPfcFCRERkK4QogBDmFYnmHm+rOCVERERENo8jLERERLZCSJgSqqAX3bJgISIishW8S8goTgkRERGRzeMICxERka3g0vxGWWyExc7ODvv378f69esNtnt4eODixYv47LPPAAA9evTArl27kJWVhdzcXBw+fBhDhxre8lavXj0IIaDValG7dm2DfT4+PtBoNBBCoF69epY6HSIiIssrnBIyNyogixUsBQUFGDZsGLp164bXXntNv33BggW4efMmpk+fjnHjxmHjxo3Yv38/2rZtiyeffBKrV6/Gd999h6+++qpIzpSUFAwZMsRg29ChQ5GSkmKp0yAiIiIbYNFrWBISEvDhhx9iwYIF8PHxQe/evTFw4EAMGTIE3t7emDNnDubNm4ePPvoIZ86cQWJiIubOnYv33nsPkyZNQps2bQzyRUREFHl+UHBwMCIiJC8aREREZAWioEBKVEQWv+h2wYIFOHHiBFauXIklS5ZgxowZOHnyJPr27QtHR0fMnj27yDHff/89srOzMWjQIIPtmzZtgpeXF9q3bw8AaN++Pby8vLB58+YS++Ho6Ah3d3eDICIisimcEjKqXO4SGj16NJ577jmkp6dj5syZAAB/f39kZGQgLS2tSHuNRoMLFy7A39+/yPbIyEiEhIQAAEJCQhAZGQmNpuTlrUNDQ5GVlaUPTiMRERGZxsvLC5GRkcjMzMStW7fwww8/wM3N+GMwvLy88M033+Ds2bPIy8tDcnIy5s+fDw8PD5Nfu1wKlpCQEOTm5qJBgwaoU6eOWbnCw8PRr18/eHt7o1+/fggPDy/VcWFhYfDw8NCHr6+vWf0gIiKSrvBZQuaGhaxatQpPPPEEnn/+efTs2RMdO3bEkiVLjLavXbs2ateujUmTJqFp06b6a1uXLVtm8mtbvGBp164d3nnnHfTs2ROHDx/WdzI+Ph5VqlRBrVq1ihzj4OCARx99FPHx8UX2nT59GmfPnkVUVBTOnDmDuLi4UvVDrVYjOzvbIIiIiGyKEIAoMDPuFCz3Xgbh6GjewzGbNGmC7t27Y/jw4Th8+DD279+Pt956CwMHDiz2dzkAxMXFoW/fvtiyZQsuXLiAnTt34qOPPkKvXr1gb29v0utbtGBxcXHBihUrsHjxYuzatQtKpRJt2rTBqFGjsH79eqjVarz77rtFjhs1ahQqV66MqKioYvOGh4cjKCio1KMrRERED5uUlBSDSyFCQ0PNyteuXTvcunULx44d02+LjY1FQUEB2rZtW+o8np6eyMrKgk6nM+n1LbpwXFhYGBQKBT788EMAQHJyMiZNmoTZs2cjOjoa77//PubMmYPbt29j5cqV0Gg0eOmll/DFF19g9uzZOHz4cLF5ly5dinXr1iEjI8OS3SciIipXokBAmDmlU3i8r6+vwWyCSqUyK6+Pjw+uXr1qsE2n0+HmzZvw8fEpVY5q1aph6tSp951GMsZiBUvHjh0xduxYdO7cGfn5+frtS5YsQZ8+fbBs2TI899xzuHDhAiZNmoS3334b9vb2iIuLw+jRo7FixQqjuXU6HW7cuGGprhMREVlH4bSOuTmAUl/+EBYWph9YMKZJkybm9Ql3pqi2bt2Kf/75B9OmTTP5eIsVLHv27IGDg0Ox+7p166b/782bN5d4W3JycjIUCoXR/SdOnLjvfiIiIirenDlz7jtIAAAXLlxAWloaatasabDd3t4eVatWLfaO37tVrlwZ27ZtQ3Z2Nl555RVotVqT+8lnCREREdkImVNCpXX9+nVcv369xHYHDhyAl5cXWrZsib/++gsA8Oyzz8LOzg6HDh0yepy7uztiYmKgUqnQu3fvMk9N8WnNREREtsLsO4QkTCkZcfbsWURHR2Pp0qUIDAzE008/jYULF2L16tW4cuUKgDu3MZ85cwaBgYEA7hQrv//+O9zc3KBUKuHh4QFvb294e3vDzs60EuShH2FxcTXvNi9Ls7PA7fRuzvLPWTjJnZJzc5b/D87RRW5ONyf5/3xc3Zyk53Rzkvt+u0n+PgKAq2vJiz+aSuci97wrO5h2R0NpuLrK/QeutsC/bUe1/PfbxVVyTkVlyfmML4Rmaa4eLjaRw5jBgwdj4cKF+OOPP1BQUID169dj/Pjx+v0ODg5o0qQJXF1dAQAtW7bEU089BQBITEw0yFW/fn0kJyeX+rUVACrmGr4lqF27Nle7JSIio3x9fZGamlour+Xk5ISkpCSj65mY6sqVK2jQoIHZdwbZkoe2YAHuFC0lXUHt7u6OlJSUIreHmUN2zgehj5bI+SD00RI52Ufbzck+2m5OU/O5u7uXW7FSyMnJyezF3Qqp1eoKVawAD/mUkCkfRkusjis754PQR0vkfBD6aImc7KPt5mQfbTdnafNZYzV0lUpV4YoMmXjRLREREdk8FixERERk81iwlEClUmHatGlSh+lk53wQ+miJnA9CHy2Rk3203Zzso+3mtEQfqXw91BfdEhER0YOBIyxERERk81iwEBERkc1jwUJEREQ2jwULERER2TwWLEREFdDUqVPh4mK5Z8oQlTcWLKXk6emJQYMGWbsbRESl8sknn6ByZckPBbSADh06wN7e3trdoAcAb2supSeffBJ//fUXKlUq29MMWrVqhfr160MIgaSkJPz999+Se2hZdnZ2KCiwzCPLreW9997DggULcPv2bQDA008/jaNHj0KtVgMAKleujFmzZmHs2LGlyvfGG2+Uqt3KlSvL1uH/90mh+O/J2AUFBcjNzS3VsVqttlTtyvoZL8kTTzyBuLg4KbkUCgVefPFFbN26VUo+W1GjRg1cu3btvm2eeeYZ7Nu3r8RcOp0OPj4+JeazBFPea61Wi1q1akntZ926dUvV7tKlS9Jek8qHYJQcTz75pNBqtSYf17lzZ5GYmCi0Wq3Q6XRCp9MJrVYrEhISRIcOHUzOV3j8/UKj0Ug770aNGolZs2aJ1NRUk45r2bKl2LFjh3B3dy+yz8PDQ+zYsUM8+eSTJuWcNWuWcHBwkHZuWq1W1KhRQ/91ZmamaNCggf7rmjVrmvSe63Q6kZmZKW7cuCFu3rxZbNy4ccOkPjZv3lxs3bpV/3VWVlaR97p169al7t+FCxfEJ598Inr37m00ZH1/AYjKlSuLESNGiEOHDpXp38+98eijj4rPP/9cpKSkCLVabdKxd7/XxYW9vb0IDAw0KWeVKlXEuHHjjH7Oje0zFunp6eLVV18tdp+zs7OYP3++UKlUpX6/q1evLvX9tMR7rdPpSnxvTI27/43c/XP37m0yPo+Mcg+rd+CBiLIULI8++qjIyckRf/zxh+jdu7fw9/cXjRs3Fq+88orYuXOnyM7ONvgFWZq43y+asLAwkZubK/Lz8806VxcXFzFs2DCxZ88eodFoxIEDB8SkSZNMyrFq1SoxZcoUo/tDQ0PFypUrTcp5/vx5cfLkSdG8eXMp7+m9PyizsrLMKlhOnz4trl27Jr7++mvRrFkzKX384YcfRGhoqEEfBw0aJDp27Cg6deokIiIixI8//liqXK1atRLffvutuHnzpjh27JgYO3asqFKlipR+3hsdOnQQK1asENnZ2eLcuXMiLCys1IXVveHs7CzeeOMNsXv3bqHVasXOnTvFyJEjRc2aNU3Kc2+BevLkSVGnTp0yv98AxJQpU8TatWuN7l+zZo2YPHlyqfNNnDhR5Obmip9++sngvXnmmWdEQkKCOHfunHj66adLlUun0+mL5PuFtd9rSxRWGo1GJCUliU8++US0bNlSPPnkk8WGzNdklEtYvQMPRJSlYFmwYIGIjY01uj82NlZ88803ZvfN399f/PLLL0Kj0YgVK1YIPz+/MuVp27atWLp0qcjIyBAnT54UGo1GPPPMM2XKdf78+fv+0m7atKlITEw0KaeLi4tYuHChyMvLEx999JFQKBRmfd9kFywARJs2bcR3330nbt26JY4cOSJGjRpl0l/Y98Y///wjAgICjPaxTZs24t9//zUpp5OTkxg8eLCIjY0VOTk5IioqSjz33HNmfw69vb3FBx98IOLj40VaWpr45ptvhFqtFo899liZ8rVu3Vp89913IiMjQxw7dkxMnDhRaDSaMucrzfut0+lMyvn333+LZ5991uj+Z599Vvz1118m5XzsscfE4cOHRUpKinj11VfFvHnzhFqtFvPnzxfOzs4mne9bb70lhgwZct+w9nut0+nEli1bxPr16+8bpvbv/fffF2fOnBFXrlwRX331lWjSpInZn3GG1cPqHbCJeOutt+4bM2fONPmX16lTp0TPnj2N7u/Zs6c4depUmftcq1YtsWTJEqFSqcSmTZvEE088UaY8EydOFKdPnxaXLl0SX375pf4vD3N+2eTn54v69esb3V+/fn2Rl5dXptyF02wHDx4UL7/8sujVq5dBlDaPJQqWwigcFdixY4fIyckRkZGRwtHR0eQ8ubm5wtfXV//1hAkTDAqgunXrmjWiVr9+ffHHH38IrVYrvLy8ypxn06ZNIiMjQ6xatUq8+OKLws7OzqzP0IkTJ0RSUpL4/PPPxeOPP67fbs5n0hLvd1ZWlqhbt67R/XXr1hWZmZkm99XOzk5ERUUJrVYrsrKyRMeOHc0+X1kh+73W6XQiKipKhIeH3zfK2t/27duLH374QWRmZooDBw6I4cOHm/3HDsNqYfUO2ERcuHChVGFKzszMTFGvXj2j++vXry+ysrJM7quHh4eYOXOmyM3NFfv37y/zKEhhaDQa8dlnn+l/8BSGOb8cLl68KF544QWj+7t16yYuXrxY5j736tVLaDQa/fz03fPUpc2h0+lEaGiovijNy8sT06dP1389efJks+e5O3ToIHbs2CG0Wm2Zpl9u3Lhx3ymAp59+ukzD+r6+vuKjjz4SCQkJIiUlRYSFhQl7e3uzPkNz5swRDRs2lPIZun37toiIiCgy8mNrBcutW7dE27Ztje5v27atuHXrlkk5K1WqJD7//HOhUqnEqlWrxI0bN8S2bdsMCtfSxL1TYLJC9nttqcLq3qhZs6aU4pxh1bB6BypslPQPsSw/IN977z1x/fp1cfr0aWkXSH744Yfi3LlzIjk5WcycOVM/UmPOL4fw8HCxZ88eo/v37t1bpr+aCi88zM/PFx9//HGRIsuUSEpKkl6kAhC1a9cWoaGhIj4+XqSkpIhZs2aJxo0bl6mPsbGx4ssvvzS6f/bs2feddrw7HBwcRP/+/UVMTIzIy8sT69evFz169DDre1gYbdu2FUuWLBGZmZni4MGDYuzYsaJatWpl/gzVrl1bTJ48WSQkJIjLly+Lr776SgQEBAiVSlXmz6RWqxWPPPKIcHd3Fx4eHiIzM1M0a9ZMuLu7C3d3d9GwYUOT/z3u2LFDhIWFGd0/c+ZMsWPHjlLna968uTh58qRITEwUnTt31n8vtm7dKm7duiVCQkJKnctShYDs99pShVVhtGvXTj/VfejQITFy5EiOsDy4YfUO2FQ0bNhQPP7442b9tVkYOp1OdOrUSTRr1qzYCAoKMvkHpE6nEzk5OeLXX3+VNt9bGB07dhQrVqwQOTk54vjx40Kj0ZT6Ar9745FHHhG3bt0SBw8eFP369dNf5Na/f39x6NAhcevWLfHoo4+alLNdu3YiPj5enDp1SrRs2dLqn5V7o1+/fuK3334Tubm54pdffhG9evUyuxjo06ePUKvVYsyYMQY/ZO3s7MS4ceOESqUyelfJvXH9+nWRlJQkpk2bJh599FH9L+p7w5z+urq6iuDgYLF3716hUqmEVqsV48ePF5UrVy5zzqCgILFy5UqRm5srdDqdmDVrlmjUqJHJeYzdKWLOnSOF78/YsWMN3uuyvD/AnZGl77//Xri5uRXZp1QqRUZGhsFdY9YMWe+1JQorHx8f/TUsaWlpYs6cOWWeMmfYTnAdlv+rX78+Nm3ahMcffxwAkJKSgldffRVHjx4tc06dTgchhMG6GYUKtwshTFr3Yvny5RCi5LcsJCTEpL7erXLlynjttdcQEhKCVq1a4fDhw/j555/x9ddfm5SnVatWWLFiBR5//HF9nxUKBf755x8EBweb/L1VqVRYsGABJk+erF8rxRxOTk547rnn9Gt5fPHFF3ByctLv12q1+Pjjj6FSqUqVT6fT4eLFi1i1ahXS09ONtluwYIFJ/Zw5cybee+89ZGdn48KFCwCARx55BJUrV8bcuXPx/vvvl7p/hYr7DJXl83g//v7+UCqVeOONN1ClShVs374dL730UqmO7dChA/7880+DPnt4eGDw4MEICQlBy5Ytcfr0aTRv3rzU/enYsWOp2u3Zs6fUOQHgs88+Q2hoaLHvz1dffYXQ0NBS5+rWrRu2bdtmdL+fnx9++OEHdO3a1aQ+Wpo573XHjh2xf/9+g/faXGq1GikpKYiIiMCmTZug0WiKbXfq1Clpr0mWx4Ll/9atW4cnnngCM2bMwO3btzFp0iQ4OzujdevWZc7p5+dXqnYXL14s82tYWtOmTaFUKvHaa6/B29u7TDmaN2+ORo0aQaFQID4+HidOnChTng4dOmDv3r1Ftjdo0AAuLi44c+ZMqYq5QiNHjkSPHj3Qu3dvAEBWVhbi4uKQn58PAGjSpAm++uqrUhdqSUlJJb6+EAKPPvpoqftYqG3bthg0aBAaNWoEAEhISEBUVBQOHTpU6hyW+oVdEjs7O/Ts2RMhISF4+eWXS3VMSYuJNW/eHCEhIXj77bcl9rTsAgMDMXjwYDRs2FD/Of/pp59w5MgRa3etXNnZ2aFXr14ICQkpdcFiiQUXiyvO7/3DUWZxTuWDBcv/XblyBX379sX+/fsBAD4+Prh8+TI8PDyQl5dn5d7955lnnsGhQ4eM/sXg5OSE/v37m7WaanEqVapU6pVSS+Lu7o7BgwdDqVQiMDDQpD5MmTIFLVu2xMGDBzFz5kxERkaif//+AIBz587hxRdfRHJycqny7dmzB19++SW2bNkC4E7B0rx5cyQlJQEABg8ejLFjx+Lpp5828QwfPsuWLStVO6VSWap2llildfr06Zg5c6a+IK1SpQoyMjKk5S+Oj48PPvroI7z11lulat+rV69it2dmZiI+Ph5paWkyu2cRpq5CrNPpkJOTA61WW+xoNHCnuKhWrVqp+1AR/likoliw/J9Op0OtWrVw9epV/bbs7Gw0a9YM//77b5lyWmJ5aJ1Oh8OHD+OVV14p9odXzZo1kZqaavJfDpUrV4a/vz/OnTuH3NxctGjRAhMmTICLiwt+/fVX/PTTTyblK07nzp0REhKCPn36IDMzExs2bMC4ceNKffzs2bPxxhtvYOPGjXj22Wdx+vRpNG7cGJ988gkKCgowdepUnDp1Cq+//nqp8qWmpqJdu3b6Aufq1asIDAzUf92oUSMcOXIEVapUKVU+2VNMd2vdujUGDRoEf39/AHeKs6ioKBw7dqzUORQKBd577z307t0bjo6O+OOPPzB9+nT9ownModPpkJycjL///vu+v3ReffXVUufz9vbG9evXze5boXtHbTIzMxEQEKAvUMvq8ccfR1BQEFQqFdatW4fMzExUq1YNH330EUaNGoULFy6gadOmpcp1v2kRIQRWr16NESNG6IsuW/Loo48iJCQEw4YNQ40aNeDo6Fiq406fPg1vb29ERkYiPDyc0zR0X1a/kMYW4u47CArj3rsITL0g0RLLQ+t0OnHixAlx+fJl0aZNmyL7y3LnUYcOHURmZqbQ6XTi+vXr4vnnnxeZmZnin3/+EadOnRJarVYMHz68TN/Xu+/2uHbtmtBqtaJ///5lyvXvv/+K7t27C+DOIwN0Op3o1q2bfn/Hjh3FpUuXSp0vLy9P+Pv7G93fuHFjk9Y4GTlypNi0aZP+66ysLHHgwAGxY8cOsWPHDpGamireeecdk8971qxZ+mX///77b/H333/rl+ifOXNmqfNMmTJFaLVasW3bNrFhwwaRl5cnli1bVqb34t5YuHChuHHjhvjrr7/EW2+9ZfZto5ZYTKyk25rLEr169RIqlUr/7zshIUF07txZXL16VURHR9/31n5TwsPDQwQFBYl//vlHfP7551JyyghZqxDLXnCxMFq3bi3mzJkjNm/eLDZv3izmzJkjWrVqZfXvG6PMYfUO2EQU94yeu7eVpbiwxPLQWq1W1KlTRyxZskTk5eWJYcOGGewvS8Gye/du8cMPP4jatWuLKVOmiJs3bxr8UPzoo4/E33//bVLOPn36iK1bt4rs7Gyxdu1a0bt3b+Hg4GDWrdJqtVrUrl1b/3VeXp7BWhA+Pj4mPUcpPj5e9OnTx+j+fv36iYSEhFLn27Nnj8FCgff+Qhw8eLD4888/TTrnIUOGiLy8PDF27FhRqVIl/fZKlSrp14554403Sn2+b775pv7rLl26iNu3b0u7xdPR0VEMHDhQ/P777yInJ0esWbNGdO3atUy5LLGYmCUKlkOHDom5c+cKNzc38fbbbwudTidOnjxZ5scQlBQvvPCCOHPmjEVymxKyVyEuDFkLLgLyCn2GTYXVO2AT0bFjx1KFKTktsTz03T90R48eLW7fvi3mzZun/6VT1sWvCtcJcXBwEFqt1qCQevTRR01e4K5wMbp7b3G0pYW/5s2bJ06fPi2cnJyK7HN2dhanT58W8+bNK3W+1NRUg4UCr169avB1o0aNREZGhknnfOjQITFhwgSj+9955x1x6NChUuW6ffu2wbNzgDsrEpu6IFlpws/PT3z88cfi/Pnz4t9//y32Nl1T3msZUdI6LGUZRc3IyNDfnm9nZyc0Go3o0qWL9O9nYdSrV09kZ2dbLH9pwhKrEN8b5i64KLPQZ9hUWL0DD0yYM8wta3noe3+Qd+jQQaSlpYnt27eLKlWqlKlgscQKoIXDu/v27RMjR47U/9Axt2B5/fXX9Uvw5+TkiOHDh+u/fuONN0zqZ82aNUVqaqr4999/xaRJk/QPkXzvvfdEcnKySElJMWloW/YUEwCRk5Nz31GABg0aiJycnFLl0mq1RR4yl5WVdd9HKJQ16tSpI6ZOnSoSExPFpUuXTC5YLLGYmCXWYbHEqM39IigoSJw7d85i+UsTlliFGJC74KLMQp9hU2H1Dth8PP/882LNmjVlfvbN3WHu8tDF/eVZt25dcfToUZGQkCCee+45k3/o3vuLLDMz0+CXWFmfqePs7CyGDBkidu3aJfLz88Wvv/4qNBpNmRdwuncZ/uLC1H7Wr19fREdHF7nOKDo62uRfPLKnmArfi/v90Pb39y/1s2qKuy5ErVaLbdu2mb3oIGA4JZSXlyfWrl0runfvLqUwlxGWGEUtqYg29flW94vmzZuLY8eOiblz50r9vpgaslchtsSCizILfYbtBO8SMsLPzw8hISEYOnQovLy8EB0djfXr1+Pnn38uU7527dohJCQE/fr1w7lz5xAeHo4lS5aYtG4IYPx2TycnJyxbtgx9+/ZFpUqVTLpLSKfT4fTp0/rblp988kmcPXtWvzhbpUqV8MQTT5i1ZkHDhg0REhKCIUOGoHLlyti6dSt+/vlnbNiwocw5ZfLy8kLDhg0BAOfPn8etW7dMzjFv3jw899xzaNWqVZE7gZydnXH06FHExsZiwoQJpc65c+dO7N27Fx9//HGx+z/99FM888wzCAoKKjGXJRcdXLRoEQYOHIhLly4hPDwcq1atwo0bN0zOU8gSi4nZ2dlh0qRJUu+SKk3/TFnv4+bNm8W+R25ubqhUqRK2b9+O/v37Izs72+S+WkJQUJD+zj9nZ2fMnj0bP/zwAxISEkqdwxILLmZmZqJNmzY4d+5csfv9/f1x5MgReHp6ljonWR8Llrs4ODigT58+GD58ONq3b4/Y2Fh0794dLVq0wOnTp03O5+PjgyFDhiA4OBheXl5YtWoVwsPDERcXV+Y+7tixA6+88goyMzOL3T9p0iSMHj3apMXJjP0yvNeMGTNKndOYwjUahg8fju7du8PZ2dnkHFWrVsXNmzcBAHXq1MGIESPg7OyMzZs3Y9++fWb3saxq1qyJ48ePQ61WY+HChYiPjwcANG7cGOPGjUOlSpXQokULg1vnS9KjRw/8+uuvmDt3LubMmaM/1tvbG++++y4mTJiAV155pdRrXlhK4S+dv//++75FUWlva966dSsGDRqErKwsAMAHH3yA7777Tv+5r1q1Kvbu3Ysnnnii1H2cMmUKpk2bhtjYWOTn5+OFF15AVFRUqdeGKSsXF5dS34Y8ZMiQYrdnZWXh3LlzOHPmjMyuSePp6alfHdvUVYgtseCizEKfbAcLlv/75ptvMGjQICQkJCAyMhKrV6/GzZs3oVar0bx58zL9oODy0MUXFy4uLti8eTPOnj1r0sJgTZs2xebNm1G3bl0kJCRg4MCB2LZtG9zc3FBQUAA3Nzf07dsXGzdutNTplKh+/fpYvHgxnn/+ef16JEIIbN++HWPGjCnTmh/jxo3D7NmzUalSJf0vbE9PT2i1Wrz//vv45ptvSpVn/fr1JbbRarVIS0vD9u3b9QvqlYbs0ZuS1kwpy3pD8fHxmD17NpYsWQIA6NKlC7Zu3QoXFxeTRzpLw9HREWPHjsX777+PWrVqSc9vq0xdhbh+/fplXuvKmAel0CfTsGD5P41Gg1mzZmHmzJnIycnRbzenYLHE8tCWWIzufsq6Kq0liovffvsNWq0WM2fOxBtvvIGePXsiJiYGI0aMAHBnyLhVq1Zo166dyecpm4wpprv5+vqiX79++qX54+PjsX79ely+fLnUOcLDw0tsY2dnh5o1a6JTp06YPXs2PvnkkzL32Rz3Tn3euwpxWQqW27dvo2HDhgbfs/z8fDRs2BApKSll6qejoyOmTZuG559/Hmq1Gl9++SU2btyI4OBgfPbZZ9DpdFi4cCG+/PLLMuUvFBQUBBcXF/z5558WX523JMamrQpX4509ezZiY2NLna9w0cGdO3dix44d2LlzJ1JTU83up6xCn2yL1S+ksYUovFgwOztbrF69WvTo0UPY2dmZdeW7n59fiWHqBaiWWIyuuOjcubP48ccfRU5OjkhJSRELFy406fjffvtNbNq0STz99NNi8eLF4tKlS+KHH34QCoVCKBQKsXDhQnHgwAGTcl67dk00a9ZMABBubm5Cp9MZPLW5cePG4tatW1b/LFWE6NGjh0hOTrba61vizjVL3CU1c+ZMcevWLbFu3TqRkpIi1Gq1+P7778WJEyfEgAEDTL541NPTU6xYsUKcPHlSLFmyRLi7u4u9e/fq/61fuXJF/2/AWjFkyJBiY/z48SIiIkLcvn3bYD2ikqJTp07ik08+ETt37hR5eXlCq9WK+Ph48d1334kBAwaYvAgdADFjxgxhb28vfH19xYQJE8SiRYvEokWLxNtvvy3q1Kkj/Pz8xO+//27V7yOjTGH1DthU1K9fX0ybNk38+++/4urVq0Kr1Zr0ePjSROXKlcWIESPEwYMHbWIxusKQuSqtJYoLS/wSe1Cib9++Yv369eLUqVPi1KlTYv369dI/l3eHp6enWXcMmRv3Fhf3FhZlvX1f9l1SiYmJ+ruAnnjiCaHT6cxaPXjp0qXi3LlzYvLkyeLAgQNi//794s8//xRt2rQRrVu3Fjt27DBYTdkW45133hH79+8v07FOTk4iKChITJ8+XezevVvk5+cLrVYrTp8+bVKe5ORkcezYsWL/IHzzzTdFRkaG+O2336z+vWKYHFbvgM1G165dxZo1a0R+fr64dOmSmD9/vln5OnToIFasWCGys7PFuXPnRFhYmMkrYlpiMTpLrEprieJCp9NJ/yVm66FQKMTq1auFTqcTZ86cERs2bBAbNmwQZ8+eFVqtVkRFRVm9j5aIe4uLewuLLVu2mPxel7RqbllWz1WpVEVWX27atGmZz/vy5cv6W6tr164tdDqd6NSpk35/YGCguHLlitXfn/tFo0aNxI0bN8zK4eDgIDp37ixmzZolMjIyTH6v3d3dRUREhMjPzxcffvihUCgUom7duuL3338XGRkZYsSIEVb/PjHKFFbvgM2Hl5eXGD9+vEnLvheGt7e3+OCDD0R8fLxIS0sT33zzjbQVIWUtRmepVWkt/ReyjF9ith4TJkwQ169fFz169Ciyr1evXuL69evi7bfftno/Zcfy5culFxeWiJJGgkwNjUYjfHx89F/n5uaKRx55RP+1t7e3zX/GmzZtanJR5eDgIDp06CA+/vhjsWPHDpGbmyvOnj0rlixZIl5//XVRt27dMvWld+/e4sqVK+Lvv/8WGRkZYvv27cLPz8/q3yNG2YIX3ZagcuXKGDRoEIYPH45WrVqZdJHfpk2b0LFjR2zduhWrVq3Ctm3bUFBQYNaFvMWpWbMmoqKi0KlTJ9SoUcPkCzy/++47DBgwAHFxcVi5ciXWrFmDjIwMsy84jo6O1q9H0qtXL+zYsQO5ubkA7qwb061bN5O+n6W5aBQo2zoiturEiROYN28eli9fXuz+wrsxSnsLKclV0ue8kClPqZZ9sXF5+/rrr9GkSRN07969VO3/+OMPtG3bFklJSdi9ezf27t2L3bt3F/s0elPVrFkTkZGR6NKlC3Jzc9GzZ0/s2bPH7LxkHbb7qbeyDh06QKlU4tVXX0Vqaip++eUXjB071qQc3bt3xzfffIPFixfj/Pnz0vt472J0Y8eOLdMdBKNGjcKECRPQv39/hISEYN68eYiJiYFCoYCdnV2Z+hYREWHwdWRkZJE2P/74o0k5K1IhUlqNGjW67x0XsbGxWLhwYTn2qHwsW7asxDZCCAwfPrwcemNcaT7npho+fLj+TsVKlSph2LBhuH79OoA7d+1Z25w5c4rd7unpiZYtW8Lf3x8dO3Ysdb4OHTrgypUr2LFjB3bt2oXdu3frl0Iwx8CBA7Fw4UIcP34cjz32GJRKJX7//Xd8++23CA0NLbK4I9k+jrDcxdvbG8OGDYNSqYSHhwfWrl2LUaNGlXmUoW3btlAqlRgwYADOnDmDlStXYvXq1bhy5UqZc1piMbp72fqqtA+TGzduoHPnzkbX6mnatCn27NmDqlWrlnPPLKvwVte///67yFIAd+vTp0859srySrOIGgA88sgj5dCb4u3YsaPY7YWL2y1evNikdVVcXV3RoUMHdO7cGUFBQQgICEB8fDx2796tL2AKC7bS+vnnn/HCCy8gNDTUoKBv166dfrRy2LBhOHjwoEl5yfqsPi9lC7Fp0yaRkZEhVq1aJV588UX97YgyrjdxdXUVwcHBYu/evUKlUgmtVivGjx9f5JqR0oRarRZJSUli2rRpomXLlqJZs2bFhozviUKhED169BAbNmwQt2/ftvp79DDGli1bxLfffmt0/+LFi8XWrVut3k/ZsXDhQnHjxg3x119/ibfeesusB48yHqyoXLmy6Natm5g1a5Y4dOiQuH37tjh16pRJOfbt2ycaNmxY7D5nZ2cxb948oVKprH6uDJPD6h2widBoNGLOnDlFPuQyH5kO3HlY3axZs0RqaqrIy8sTGzduNOn4ex/0d/d6LGV9AGBhVK1aVf/fderUEdOnTxdffvml6NChg/QH0TFKF+3atRMqlUqsWbNGBAYGCnd3d+Hh4SHatm0r1q5dK1QqlXj66aet3k9LxN0PU8zJyRFr1qwRXbt2tXq/LBlPPfVUkQus33jjDXHhwgWRnp4uvv/+e+Ho6Gj1floyFAqFaNOmjfjggw/Etm3bRE5Ojsk/00pz80GHDh2sfq4Mk8PqHbCJaNu2rViyZInIzMwUBw8eFGPHjhXVqlWTXrAUhp2dnXjppZdMLlgssRhd06ZNRVJSktBqteLMmTOiefPm4sqVKyIrK0tkZGQIjUYjXnrpJau/Rw9rvPzyy/o1ge4uUq9du3bfp0NXpPDz8xMff/yxOH/+vPj333+Fm5ub1ftkiYiOjhbvv/++/uumTZsKtVotlixZIt555x2RmpoqPvnkE6v3U2YoFAoRGBgo3nvvPfHbb7+JzMxModVqRXJyslixYoUYOnQo7+xhFIbVO2BTIXP6pjzDnMXoLLEqLUNuuLi4iJdfflm899574r333hMvvfSScHFxsXq/yivq1Kkjpk6dKhITE8WlS5cqbMGSmpoqWrVqpf/6s88+E3v37tV/3bdvXxEXF2f1fsqMwgLl8uXLYuXKlSIkJMTgVm4G466wegdsNsydvimPkLEYHZe8t91wdnY2mCL44osvxJw5c/Qxa9Ys4eTkZPV+WiLunhLKy8sTa9euFd27dy/TWkMPSuTn54s6derov967d6+YPHmy/ut69eqJrKwsq/dTZrz55puiUaNGVu8H44EIq3fA5qOs0zeWCtmL0T3MS97beowcOdJgKfasrCxx4MABsWPHDrFjxw6RmpoqJkyYYPV+yo5FixaJGzduiOPHj4vx48eLatWqWb1P5RH//vuv/toKBwcHkZubK5599ln9/qZNm5q9iiyD8QCH1TvAMCEscTfTw7jk/YMSe/bsMXiQ3L3F5ODBg8Wff/5p9X7KDp1OJ5KSksQvv/xi8Jyfe8Pa/ZQd3377rdi/f7945plnxOzZs8W1a9eEg4ODfv9rr70mDh8+bPV+MhjWCC4c94Cx1GJ0K1as0C+k5OzsjO+++85gVVqyjoYNGxqswXL79m0UFBTovz58+DAWLVpkja5Z1I8//liq9UgqmqlTp+KXX37B7t27kZOTg6FDh0Kj0ej3h4SE4Pfff7diD4mshwvHPWAssRjdw7jk/YMiLy9Pv5BWcRo3bozjx4/DxcWlnHtGluTh4YGcnByD4hQAvLy8kJOTY1DEED1MrD7MwzA9HtS7mRimRXx8/H1vXe7Xr59ISEiwej8ZDAajHMLqHWCYGQ/C3UyMssW8efPE6dOni70TyNnZWZw+fVrMmzfP6v1kMBgMSwenhCoQOzs79OrVCyEhIXjppZes3R2SoGbNmjh+/DjUajUWLlyonxpq3Lgxxo0bh0qVKqFFixa4evWqlXtKRGR5Vq+aGAyG8ahfv76Ijo42eAyDVqsV0dHRBncMMRgMRkUOjrAQPSC8vLzQsGFDAMD58+dx69YtK/eIiKj8sGAhIiIim2dn7Q4QERERlYQFCxEREdk8FixERERk81iwEBERkc1jwUJEREQ2jwULERER2TwWLERERGTz/ge7ClggD1XMIQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = pd.read_csv(\"data/stock_prices.csv\", parse_dates=True, index_col=\"date\")\n", + "past_df, future_df = df.iloc[:-250], df.iloc[-250:]\n", + "future_cov = risk_models.sample_cov(future_df)\n", + "\n", + "sample_cov = risk_models.sample_cov(past_df)\n", + "plotting.plot_covariance(sample_cov, plot_correlation=True)\n", + "plotting.plot_covariance(future_cov, plot_correlation=True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Qq12G1OWzwIW" + }, + "source": [ + "We can see that visually, the sample covariance does not capture some of the new features of the covariance matrix, for example the highly correlated group of FAANG stocks. We may be able to improve this by using an exponentially-weighted covariance matrix, which gives more weight to recent data. We can also look at how each model predicts future variance." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 }, + "id": "Ig1n6qISzwIW", + "outputId": "69e03da8-4df2-44a2-ad9e-ede97215ca9b" + }, + "outputs": [ { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 265 - }, - "id": "bgQNHK4bzwIY", - "outputId": "b1230c6a-aeb7-4011-b7f9-636a888eca20" - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "future_rets = expected_returns.mean_historical_return(future_df)\n", - "mean_abs_errors = []\n", - "return_methods = [\n", - " \"mean_historical_return\",\n", - " \"ema_historical_return\",\n", - " \"capm_return\",\n", - " ]\n", - "\n", - "for method in return_methods:\n", - " mu = expected_returns.return_model(past_df, method=method)\n", - " mean_abs_errors.append(np.sum(np.abs(mu - future_rets)) / len(mu))\n", - " \n", - "xrange = range(len(mean_abs_errors))\n", - "plt.barh(xrange, mean_abs_errors)\n", - "plt.yticks(xrange, return_methods)\n", - "plt.show()" + "data": { + "image/png": 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", + "text/plain": [ + "
" ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "future_variance = np.diag(future_cov)\n", + "mean_abs_errors = []\n", + "\n", + "risk_methods = [\n", + " \"sample_cov\",\n", + " \"semicovariance\",\n", + " \"exp_cov\",\n", + " \"ledoit_wolf\",\n", + " \"ledoit_wolf_constant_variance\",\n", + " \"ledoit_wolf_single_factor\",\n", + " \"ledoit_wolf_constant_correlation\",\n", + " \"oracle_approximating\",\n", + "]\n", + "\n", + "for method in risk_methods:\n", + " S = risk_models.risk_matrix(df, method=method)\n", + " variance = np.diag(S)\n", + " mean_abs_errors.append(np.sum(np.abs(variance - future_variance)) / len(variance))\n", + "\n", + "xrange = range(len(mean_abs_errors))\n", + "plt.barh(xrange, mean_abs_errors)\n", + "plt.yticks(xrange, risk_methods)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "__2md9QLzwIX" + }, + "source": [ + "We can see that the exponential covariance matrix is a much better estimator of future variance compared to the other models. Its mean absolute error is 2%, which is actually pretty good. Let's visually compare the exponential cov matrix to the realised future cov matrix:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 577 }, + "id": "y4PjMrS0zwIX", + "outputId": "ef412b6e-8bc5-4a62-a26f-6e9932bc8453" + }, + "outputs": [ { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "yNwdw7oszwIZ", - "outputId": "c91a5204-20fe-4e0c-fd26-31d67ab46818" - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[np.float64(0.2882364468648248), np.float64(0.29381479725985077), np.float64(0.2559298526725975)]\n" - ] - } - ], - "source": [ - "print(mean_abs_errors)" + "data": { + "image/png": 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", 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" ] + }, + "metadata": {}, + "output_type": "display_data" }, { - "cell_type": "markdown", - "metadata": { - "id": "15fVn-_tzwIa" - }, - "source": [ - "The exponential moving average is marginally better than the others, but the improvement is almost unnoticeable. We also note that the mean absolute deviations are above 25%, meaning that if your expected annual returns are 10%, on average the realised annual return could be anywhere from a 15% loss to a 35% gain. This is a massive range, and gives some context to the advice in the docs suggesting that you optimize without providing an estimate of returns." + "data": { + "image/png": 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", + "text/plain": [ + "
" ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "exp_cov = risk_models.exp_cov(past_df)\n", + "plotting.plot_covariance(exp_cov, plot_correlation=True)\n", + "plotting.plot_covariance(future_cov, plot_correlation=True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "V7OAivD9zwIY" + }, + "source": [ + "## Returns\n", + "\n", + "What about returns? Will the exponentially-weighted returns similarly be the best performer?" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 }, + "id": "bgQNHK4bzwIY", + "outputId": "b1230c6a-aeb7-4011-b7f9-636a888eca20" + }, + "outputs": [ { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 607 - }, - "id": "zJsV7D2vzwIa", - "outputId": "8ec9fe02-0ee3-4069-a42b-4e81c7ffb8ed" - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, axs = plt.subplots( 1, len(return_methods),sharey=True, figsize=(15,10))\n", - "\n", - "for i, method in enumerate(return_methods):\n", - " mu = expected_returns.return_model(past_df, method=method)\n", - " axs[i].set_title(method)\n", - " mu.plot.barh(ax=axs[i])" + "data": { + "image/png": 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", + "text/plain": [ + "
" ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "future_rets = expected_returns.mean_historical_return(future_df)\n", + "mean_abs_errors = []\n", + "return_methods = [\n", + " \"mean_historical_return\",\n", + " \"ema_historical_return\",\n", + " \"capm_return\",\n", + "]\n", + "\n", + "for method in return_methods:\n", + " mu = expected_returns.return_model(past_df, method=method)\n", + " mean_abs_errors.append(np.sum(np.abs(mu - future_rets)) / len(mu))\n", + "\n", + "xrange = range(len(mean_abs_errors))\n", + "plt.barh(xrange, mean_abs_errors)\n", + "plt.yticks(xrange, return_methods)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" }, + "id": "yNwdw7oszwIZ", + "outputId": "c91a5204-20fe-4e0c-fd26-31d67ab46818" + }, + "outputs": [ { - "cell_type": "markdown", - "metadata": { - "id": "Imoi-m_vzwIa" - }, - "source": [ - "The good news is that we see a good degree of agreement (apart from the `ema` method)." - ] + "name": "stdout", + "output_type": "stream", + "text": [ + "[np.float64(0.2882364468648248), np.float64(0.29381479725985077), np.float64(0.2559298526725975)]\n" + ] } - ], - "metadata": { + ], + "source": [ + "print(mean_abs_errors)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "15fVn-_tzwIa" + }, + "source": [ + "The exponential moving average is marginally better than the others, but the improvement is almost unnoticeable. We also note that the mean absolute deviations are above 25%, meaning that if your expected annual returns are 10%, on average the realised annual return could be anywhere from a 15% loss to a 35% gain. This is a massive range, and gives some context to the advice in the docs suggesting that you optimize without providing an estimate of returns." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { "colab": { - "collapsed_sections": [], - "name": "1-RiskReturnModels.ipynb", - "provenance": [] - }, - "kernelspec": { - "display_name": "Python 3", - "name": "python3" + "base_uri": "https://localhost:8080/", + "height": 607 }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.12.4" + "id": "zJsV7D2vzwIa", + "outputId": "8ec9fe02-0ee3-4069-a42b-4e81c7ffb8ed" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } + ], + "source": [ + "fig, axs = plt.subplots(1, len(return_methods), sharey=True, figsize=(15, 10))\n", + "\n", + "for i, method in enumerate(return_methods):\n", + " mu = expected_returns.return_model(past_df, method=method)\n", + " axs[i].set_title(method)\n", + " mu.plot.barh(ax=axs[i])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Imoi-m_vzwIa" + }, + "source": [ + "The good news is that we see a good degree of agreement (apart from the `ema` method)." + ] + } + ], + "metadata": { + "colab": { + "collapsed_sections": [], + "name": "1-RiskReturnModels.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" }, - "nbformat": 4, - "nbformat_minor": 0 + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 } diff --git a/pypfopt/black_litterman.py b/pypfopt/black_litterman.py index f24df06d..61281d4a 100644 --- a/pypfopt/black_litterman.py +++ b/pypfopt/black_litterman.py @@ -135,7 +135,7 @@ def __init__( view_confidences=None, tau=0.05, risk_aversion=1, - **kwargs + **kwargs, ): """ :param cov_matrix: NxN covariance matrix of returns @@ -296,8 +296,7 @@ def _set_omega(self, omega, view_confidences): elif omega == "idzorek": if view_confidences is None: raise ValueError( - "To use Idzorek's method, please supply a vector of percentage " - "confidence levels for each view." + "To use Idzorek's method, please supply a vector of percentage confidence levels for each view." ) if not isinstance(view_confidences, np.ndarray): try: diff --git a/pypfopt/cla.py b/pypfopt/cla.py index 910d5984..884fbb58 100644 --- a/pypfopt/cla.py +++ b/pypfopt/cla.py @@ -314,11 +314,11 @@ def _solve(self): covarF_inv = np.linalg.inv(covarF) j = 0 for i in f: - l, bi = self._compute_lambda( + lam, bi = self._compute_lambda( covarF_inv, covarFB, meanF, wB, j, [self.lB[i], self.uB[i]] ) - if CLA._infnone(l) > CLA._infnone(l_in): - l_in, i_in, bi_in = l, i, bi + if CLA._infnone(lam) > CLA._infnone(l_in): + l_in, i_in, bi_in = lam, i, bi j += 1 # 2) case b): Free one bounded weight l_out = None @@ -327,7 +327,7 @@ def _solve(self): for i in b: covarF, covarFB, meanF, wB = self._get_matrices(f + [i]) covarF_inv = np.linalg.inv(covarF) - l, bi = self._compute_lambda( + lam, bi = self._compute_lambda( covarF_inv, covarFB, meanF, @@ -335,10 +335,10 @@ def _solve(self): meanF.shape[0] - 1, self.w[-1][i], ) - if (self.ls[-1] is None or l < self.ls[-1]) and l > CLA._infnone( - l_out - ): - l_out, i_out = l, i + if ( + self.ls[-1] is None or lam < self.ls[-1] + ) and lam > CLA._infnone(l_out): + l_out, i_out = lam, i if (l_in is None or l_in < 0) and (l_out is None or l_out < 0): # 3) compute minimum variance solution self.ls.append(0) diff --git a/pypfopt/risk_models.py b/pypfopt/risk_models.py index 9d1ff85a..cf62509f 100644 --- a/pypfopt/risk_models.py +++ b/pypfopt/risk_models.py @@ -181,7 +181,7 @@ def semicovariance( benchmark=0.000079, frequency=252, log_returns=False, - **kwargs + **kwargs, ): """ Estimate the semicovariance matrix, i.e the covariance given that @@ -290,7 +290,7 @@ def min_cov_determinant( frequency=252, random_state=None, log_returns=False, - **kwargs + **kwargs, ): # pragma: no cover warnings.warn("min_cov_determinant is deprecated and will be removed in v1.5") diff --git a/pyproject.toml b/pyproject.toml index 67ffbbe5..9e7a45f8 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -61,12 +61,9 @@ all_extras = [ # dev - the developer dependency set, for contributors and CI dev = [ - "pytest>=7.1.2", - "flake8>=4.0.1", - "black>=22.3.0", - "pytest-cov>=3.0.0", - "yfinance>=0.1.70", - "isort", + "pytest>=9.0.0", + "pytest-cov>=7.0.0", + "yfinance>=0.2.66", ] # notebook tests @@ -91,8 +88,28 @@ requires = [ [tool.setuptools.packages.find] exclude = ["example", "example.*", "tests", "tests.*"] -[tool.black] +[tool.ruff] line-length = 88 +# Keep Ruff aligned with project target version +target-version = "py311" +# Exclude individual files/patterns from Ruff linting/formatting +exclude = [ + "tests/test_imports.py", + "cookbook/*.ipynb", +] + +[tool.ruff.lint] +# Keep the same selected rule sets as in ruff.toml +select = ["F", "I"] + +[tool.ruff.format] +# Formatting configuration +quote-style = "double" +indent-style = "space" +line-ending = "auto" +skip-magic-trailing-comma = false -[tool.isort] -profile = "black" +[tool.ruff.lint.isort] +known-first-party = ["pypfopt"] +combine-as-imports = true +force-sort-within-sections = true diff --git a/tests/test_plotting.py b/tests/test_plotting.py index 21db2d3b..17697924 100644 --- a/tests/test_plotting.py +++ b/tests/test_plotting.py @@ -58,12 +58,12 @@ def test_dendrogram_plot(): ax = plotting.plot_dendrogram(hrp, showfig=False) assert len(ax.findobj()) > 180 - assert type(ax.findobj()[0]) == matplotlib.collections.LineCollection + assert isinstance(ax.findobj()[0], matplotlib.collections.LineCollection) plt.clf() ax = plotting.plot_dendrogram(hrp, show_tickers=False, showfig=False) assert len(ax.findobj()) > 60 - assert type(ax.findobj()[0]) == matplotlib.collections.LineCollection + assert isinstance(ax.findobj()[0], matplotlib.collections.LineCollection) plt.clf() plt.close() @@ -78,7 +78,7 @@ def test_dendrogram_plot(): == "hrp param has not been optimized. Attempting optimization." ) assert len(ax.findobj()) > 60 - assert type(ax.findobj()[0]) == matplotlib.collections.LineCollection + assert isinstance(ax.findobj()[0], matplotlib.collections.LineCollection) plt.clf() plt.close()