From eb8d0529b0565752e85968cf8123601d166a68ae Mon Sep 17 00:00:00 2001 From: mhjensen Date: Mon, 28 May 2018 08:41:15 -0400 Subject: [PATCH] added more scikit-learn functionality --- .../How2ReadData/html/How2ReadData-bs.html | 49 +++++++++++--- .../html/How2ReadData-reveal.html | 54 +++++++++++---- .../html/How2ReadData-solarized.html | 49 +++++++++++--- doc/pub/How2ReadData/html/How2ReadData.html | 49 +++++++++++--- doc/pub/How2ReadData/ipynb/How2ReadData.ipynb | 63 +++++++++++++++--- .../ipynb/ipynb-How2ReadData-src.tar.gz | Bin 113365 -> 113365 bytes .../pdf/How2ReadData-beamer-handouts2x3.pdf | Bin 413032 -> 413838 bytes .../How2ReadData/pdf/How2ReadData-beamer.pdf | Bin 388685 -> 389647 bytes .../How2ReadData/pdf/How2ReadData-minted.pdf | Bin 410749 -> 411715 bytes doc/src/How2ReadData/How2ReadData.do.txt | 44 +++++++++--- 10 files changed, 247 insertions(+), 61 deletions(-) diff --git a/doc/pub/How2ReadData/html/How2ReadData-bs.html b/doc/pub/How2ReadData/html/How2ReadData-bs.html index 1ba3bccfe..91621c57d 100644 --- a/doc/pub/How2ReadData/html/How2ReadData-bs.html +++ b/doc/pub/How2ReadData/html/How2ReadData-bs.html @@ -191,7 +191,7 @@ MathJax.Hub.Config({
[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

-

May 27, 2018

+

May 28, 2018


@@ -291,9 +291,9 @@ into the hassle of exploring how to set up dependencies and paths, we recommend two widely used distrubutions which set up all relevant dependencies for Python, namely -

    +
+ which is an open source distribution of the Python and R programming languages for large-scale @@ -301,9 +301,9 @@ data processing, predictive analytics, and scientific computing, that aims to simplify package management and deployment. Package versions are managed by the package management system conda. -
    +
+ is a Python distribution for scientific and analytic computing distribution and @@ -530,16 +530,18 @@ relative error. As mentioned above, scikit-learn has an impressive functionality. We can for example extract the values of \( \alpha \) and \( \beta \) and their error estimates, or the variance and standard deviation and many -other properties from the statistical data analysis. Here we show an -example of the functionality of scikit-learn. +other properties from the statistical data analysis. +

+Here we show an +example of the functionality of scikit-learn.

import numpy as np 
 import matplotlib.pyplot as plt 
 from sklearn.linear_model import LinearRegression 
-from sklearn.metrics import mean_squared_error, r2_score
+from sklearn.metrics import mean_squared_error, r2_score, mean_squared_log_error, mean_absolute_error
 
 x = np.random.rand(100,1)
 y = 2.0+ 5*x+0.5np.random.randn(100,1)
@@ -552,6 +554,10 @@ ypredict = linregprint("Mean squared error: %.2f" % mean_squared_error(y, ypredict))
 # Explained variance score: 1 is perfect prediction                                 
 print('Variance score: %.2f' % r2_score(y, ypredict))
+# Mean squared log error                                                        
+print('Mean squared log error: %.2f' % mean_squared_log_error(y, ypredict) )
+# Mean absolute error                                                           
+print('Mean absolute error: %.2f' % mean_absolute_error(y, ypredict))
 plt.plot(x, ypredict, "r-")
 plt.plot(x, y ,'ro')
 plt.axis([0.0,1.0,1.5, 7.0])
@@ -581,17 +587,38 @@ constant model that always predicts the expected value of \( \hat{y} \),
 disregarding the input features, would get a \( R^2 \) score of \( 0.0 \).
 
 

-If \( \tilde{\hat{y}}_i \) is the predicted value of the i-th sample and \( y_i \) is the corresponding true value, then the score \( R^2 \) is defined as +If \( \tilde{\hat{y}}_i \) is the predicted value of the \( i-th \) sample and \( y_i \) is the corresponding true value, then the score \( R^2 \) is defined as $$ R^2(\hat{y}, \tilde{\hat{y}}) = 1 - \frac{\sum_{i=0}^{n - 1} (y_i - \tilde{y}_i)^2}{\sum_{i=0}^{n - 1} (y_i - \bar{y})^2}, $$ -where the mean value +where we have defined the mean value of \( \hat{y} \) as $$ \bar{y} = \frac{1}{n} \sum_{i=0}^{n - 1} y_i. $$ -We will discuss in more detail these and more function in the various lectures. +Another quantity will meet again in our discussions of regression analysis is + mean absolute error (MAE), a risk metric corresponding to the expected value of the absolute error loss or what we call the \( l1 \)-norm loss. In our discussion above we presented the relative error. +The MAE is defined as follows +$$ +\text{MAE}(\hat{y}, \hat{\tilde{y}}) = \frac{1}{n} \sum_{i=0}^{n-1} \left| y_i - \tilde{y}_i \right|. +$$ + +Finally we present the +squared logarithmic (quadratic) error +$$ +\text{MSLE}(\hat{y}, \hat{\tilde{y}}) = \frac{1}{n} \sum_{i=0}^{n - 1} (\log_e (1 + y_i) - \log_e (1 + \tilde{y}_i) )^2, +$$ + +

+where \( \log_e (x) \) stands for the natural logarithm of \( x \). This error +estimate is best to use when targets having exponential growth, such +as population counts, average sales of a commodity over a span of +years etc. + +

+We will discuss in more +detail these and more function in the various lectures.

Another useful Python package is diff --git a/doc/pub/How2ReadData/html/How2ReadData-reveal.html b/doc/pub/How2ReadData/html/How2ReadData-reveal.html index 65e6a837d..7c11d1c34 100644 --- a/doc/pub/How2ReadData/html/How2ReadData-reveal.html +++ b/doc/pub/How2ReadData/html/How2ReadData-reveal.html @@ -148,7 +148,7 @@ MathJax.Hub.Config({

[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

 
-

May 27, 2018

+

May 28, 2018


@@ -254,9 +254,9 @@ into the hassle of exploring how to set up dependencies and paths, we recommend two widely used distrubutions which set up all relevant dependencies for Python, namely -

    +
+

which is an open source @@ -265,9 +265,9 @@ data processing, predictive analytics, and scientific computing, that aims to simplify package management and deployment. Package versions are managed by the package management system conda. -

    +
+

is a Python @@ -503,16 +503,18 @@ relative error. As mentioned above, scikit-learn has an impressive functionality. We can for example extract the values of \( \alpha \) and \( \beta \) and their error estimates, or the variance and standard deviation and many -other properties from the statistical data analysis. Here we show an -example of the functionality of scikit-learn. +other properties from the statistical data analysis. +

+Here we show an +example of the functionality of scikit-learn.

import numpy as np 
 import matplotlib.pyplot as plt 
 from sklearn.linear_model import LinearRegression 
-from sklearn.metrics import mean_squared_error, r2_score
+from sklearn.metrics import mean_squared_error, r2_score, mean_squared_log_error, mean_absolute_error
 
 x = np.random.rand(100,1)
 y = 2.0+ 5*x+0.5np.random.randn(100,1)
@@ -525,6 +527,10 @@ ypredict = linreg.predict(x)
 print("Mean squared error: %.2f" % mean_squared_error(y, ypredict))
 # Explained variance score: 1 is perfect prediction                                 
 print('Variance score: %.2f' % r2_score(y, ypredict))
+# Mean squared log error                                                        
+print('Mean squared log error: %.2f' % mean_squared_log_error(y, ypredict) )
+# Mean absolute error                                                           
+print('Mean absolute error: %.2f' % mean_absolute_error(y, ypredict))
 plt.plot(x, ypredict, "r-")
 plt.plot(x, y ,'ro')
 plt.axis([0.0,1.0,1.5, 7.0])
@@ -556,22 +562,46 @@ constant model that always predicts the expected value of \( \hat{y} \),
 disregarding the input features, would get a \( R^2 \) score of \( 0.0 \).
 
 

-If \( \tilde{\hat{y}}_i \) is the predicted value of the i-th sample and \( y_i \) is the corresponding true value, then the score \( R^2 \) is defined as +If \( \tilde{\hat{y}}_i \) is the predicted value of the \( i-th \) sample and \( y_i \) is the corresponding true value, then the score \( R^2 \) is defined as

 
$$ R^2(\hat{y}, \tilde{\hat{y}}) = 1 - \frac{\sum_{i=0}^{n - 1} (y_i - \tilde{y}_i)^2}{\sum_{i=0}^{n - 1} (y_i - \bar{y})^2}, $$

 
-where the mean value - +where we have defined the mean value of \( \hat{y} \) as

 
$$ \bar{y} = \frac{1}{n} \sum_{i=0}^{n - 1} y_i. $$

 
-We will discuss in more detail these and more function in the various lectures. +Another quantity will meet again in our discussions of regression analysis is + mean absolute error (MAE), a risk metric corresponding to the expected value of the absolute error loss or what we call the \( l1 \)-norm loss. In our discussion above we presented the relative error. +The MAE is defined as follows +

 
+$$ +\text{MAE}(\hat{y}, \hat{\tilde{y}}) = \frac{1}{n} \sum_{i=0}^{n-1} \left| y_i - \tilde{y}_i \right|. +$$ +

 
+ +Finally we present the +squared logarithmic (quadratic) error +

 
+$$ +\text{MSLE}(\hat{y}, \hat{\tilde{y}}) = \frac{1}{n} \sum_{i=0}^{n - 1} (\log_e (1 + y_i) - \log_e (1 + \tilde{y}_i) )^2, +$$ +

 
+ +

+where \( \log_e (x) \) stands for the natural logarithm of \( x \). This error +estimate is best to use when targets having exponential growth, such +as population counts, average sales of a commodity over a span of +years etc. + +

+We will discuss in more +detail these and more function in the various lectures.

Another useful Python package is diff --git a/doc/pub/How2ReadData/html/How2ReadData-solarized.html b/doc/pub/How2ReadData/html/How2ReadData-solarized.html index d94d3ec23..b17a9732e 100644 --- a/doc/pub/How2ReadData/html/How2ReadData-solarized.html +++ b/doc/pub/How2ReadData/html/How2ReadData-solarized.html @@ -151,7 +151,7 @@ MathJax.Hub.Config({

[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

-

May 27, 2018

+

May 28, 2018












@@ -248,9 +248,9 @@ into the hassle of exploring how to set up dependencies and paths, we recommend two widely used distrubutions which set up all relevant dependencies for Python, namely -

    +
+ which is an open source distribution of the Python and R programming languages for large-scale @@ -258,9 +258,9 @@ data processing, predictive analytics, and scientific computing, that aims to simplify package management and deployment. Package versions are managed by the package management system conda. -
    +
+ is a Python distribution for scientific and analytic computing distribution and @@ -487,16 +487,18 @@ relative error. As mentioned above, scikit-learn has an impressive functionality. We can for example extract the values of \( \alpha \) and \( \beta \) and their error estimates, or the variance and standard deviation and many -other properties from the statistical data analysis. Here we show an -example of the functionality of scikit-learn. +other properties from the statistical data analysis. +

+Here we show an +example of the functionality of scikit-learn.

import numpy as np 
 import matplotlib.pyplot as plt 
 from sklearn.linear_model import LinearRegression 
-from sklearn.metrics import mean_squared_error, r2_score
+from sklearn.metrics import mean_squared_error, r2_score, mean_squared_log_error, mean_absolute_error
 
 x = np.random.rand(100,1)
 y = 2.0+ 5*x+0.5np.random.randn(100,1)
@@ -509,6 +511,10 @@ ypredict = linreg.predict(x)
 print("Mean squared error: %.2f" % mean_squared_error(y, ypredict))
 # Explained variance score: 1 is perfect prediction                                 
 print('Variance score: %.2f' % r2_score(y, ypredict))
+# Mean squared log error                                                        
+print('Mean squared log error: %.2f' % mean_squared_log_error(y, ypredict) )
+# Mean absolute error                                                           
+print('Mean absolute error: %.2f' % mean_absolute_error(y, ypredict))
 plt.plot(x, ypredict, "r-")
 plt.plot(x, y ,'ro')
 plt.axis([0.0,1.0,1.5, 7.0])
@@ -538,17 +544,38 @@ constant model that always predicts the expected value of \( \hat{y} \),
 disregarding the input features, would get a \( R^2 \) score of \( 0.0 \).
 
 

-If \( \tilde{\hat{y}}_i \) is the predicted value of the i-th sample and \( y_i \) is the corresponding true value, then the score \( R^2 \) is defined as +If \( \tilde{\hat{y}}_i \) is the predicted value of the \( i-th \) sample and \( y_i \) is the corresponding true value, then the score \( R^2 \) is defined as $$ R^2(\hat{y}, \tilde{\hat{y}}) = 1 - \frac{\sum_{i=0}^{n - 1} (y_i - \tilde{y}_i)^2}{\sum_{i=0}^{n - 1} (y_i - \bar{y})^2}, $$ -where the mean value +where we have defined the mean value of \( \hat{y} \) as $$ \bar{y} = \frac{1}{n} \sum_{i=0}^{n - 1} y_i. $$ -We will discuss in more detail these and more function in the various lectures. +Another quantity will meet again in our discussions of regression analysis is + mean absolute error (MAE), a risk metric corresponding to the expected value of the absolute error loss or what we call the \( l1 \)-norm loss. In our discussion above we presented the relative error. +The MAE is defined as follows +$$ +\text{MAE}(\hat{y}, \hat{\tilde{y}}) = \frac{1}{n} \sum_{i=0}^{n-1} \left| y_i - \tilde{y}_i \right|. +$$ + +Finally we present the +squared logarithmic (quadratic) error +$$ +\text{MSLE}(\hat{y}, \hat{\tilde{y}}) = \frac{1}{n} \sum_{i=0}^{n - 1} (\log_e (1 + y_i) - \log_e (1 + \tilde{y}_i) )^2, +$$ + +

+where \( \log_e (x) \) stands for the natural logarithm of \( x \). This error +estimate is best to use when targets having exponential growth, such +as population counts, average sales of a commodity over a span of +years etc. + +

+We will discuss in more +detail these and more function in the various lectures.

Another useful Python package is diff --git a/doc/pub/How2ReadData/html/How2ReadData.html b/doc/pub/How2ReadData/html/How2ReadData.html index 86a01beb0..80d7429af 100644 --- a/doc/pub/How2ReadData/html/How2ReadData.html +++ b/doc/pub/How2ReadData/html/How2ReadData.html @@ -156,7 +156,7 @@ MathJax.Hub.Config({

[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

-

May 27, 2018

+

May 28, 2018












@@ -253,9 +253,9 @@ into the hassle of exploring how to set up dependencies and paths, we recommend two widely used distrubutions which set up all relevant dependencies for Python, namely -

    +
+ which is an open source distribution of the Python and R programming languages for large-scale @@ -263,9 +263,9 @@ data processing, predictive analytics, and scientific computing, that aims to simplify package management and deployment. Package versions are managed by the package management system conda. -
    +
+ is a Python distribution for scientific and analytic computing distribution and @@ -492,16 +492,18 @@ relative error. As mentioned above, scikit-learn has an impressive functionality. We can for example extract the values of \( \alpha \) and \( \beta \) and their error estimates, or the variance and standard deviation and many -other properties from the statistical data analysis. Here we show an -example of the functionality of scikit-learn. +other properties from the statistical data analysis. +

+Here we show an +example of the functionality of scikit-learn.

import numpy as np 
 import matplotlib.pyplot as plt 
 from sklearn.linear_model import LinearRegression 
-from sklearn.metrics import mean_squared_error, r2_score
+from sklearn.metrics import mean_squared_error, r2_score, mean_squared_log_error, mean_absolute_error
 
 x = np.random.rand(100,1)
 y = 2.0+ 5*x+0.5np.random.randn(100,1)
@@ -514,6 +516,10 @@ ypredict = linregprint("Mean squared error: %.2f" % mean_squared_error(y, ypredict))
 # Explained variance score: 1 is perfect prediction                                 
 print('Variance score: %.2f' % r2_score(y, ypredict))
+# Mean squared log error                                                        
+print('Mean squared log error: %.2f' % mean_squared_log_error(y, ypredict) )
+# Mean absolute error                                                           
+print('Mean absolute error: %.2f' % mean_absolute_error(y, ypredict))
 plt.plot(x, ypredict, "r-")
 plt.plot(x, y ,'ro')
 plt.axis([0.0,1.0,1.5, 7.0])
@@ -543,17 +549,38 @@ constant model that always predicts the expected value of \( \hat{y} \),
 disregarding the input features, would get a \( R^2 \) score of \( 0.0 \).
 
 

-If \( \tilde{\hat{y}}_i \) is the predicted value of the i-th sample and \( y_i \) is the corresponding true value, then the score \( R^2 \) is defined as +If \( \tilde{\hat{y}}_i \) is the predicted value of the \( i-th \) sample and \( y_i \) is the corresponding true value, then the score \( R^2 \) is defined as $$ R^2(\hat{y}, \tilde{\hat{y}}) = 1 - \frac{\sum_{i=0}^{n - 1} (y_i - \tilde{y}_i)^2}{\sum_{i=0}^{n - 1} (y_i - \bar{y})^2}, $$ -where the mean value +where we have defined the mean value of \( \hat{y} \) as $$ \bar{y} = \frac{1}{n} \sum_{i=0}^{n - 1} y_i. $$ -We will discuss in more detail these and more function in the various lectures. +Another quantity will meet again in our discussions of regression analysis is + mean absolute error (MAE), a risk metric corresponding to the expected value of the absolute error loss or what we call the \( l1 \)-norm loss. In our discussion above we presented the relative error. +The MAE is defined as follows +$$ +\text{MAE}(\hat{y}, \hat{\tilde{y}}) = \frac{1}{n} \sum_{i=0}^{n-1} \left| y_i - \tilde{y}_i \right|. +$$ + +Finally we present the +squared logarithmic (quadratic) error +$$ +\text{MSLE}(\hat{y}, \hat{\tilde{y}}) = \frac{1}{n} \sum_{i=0}^{n - 1} (\log_e (1 + y_i) - \log_e (1 + \tilde{y}_i) )^2, +$$ + +

+where \( \log_e (x) \) stands for the natural logarithm of \( x \). This error +estimate is best to use when targets having exponential growth, such +as population counts, average sales of a commodity over a span of +years etc. + +

+We will discuss in more +detail these and more function in the various lectures.

Another useful Python package is diff --git a/doc/pub/How2ReadData/ipynb/How2ReadData.ipynb b/doc/pub/How2ReadData/ipynb/How2ReadData.ipynb index 2740fa422..48fa4fe11 100644 --- a/doc/pub/How2ReadData/ipynb/How2ReadData.ipynb +++ b/doc/pub/How2ReadData/ipynb/How2ReadData.ipynb @@ -10,7 +10,7 @@ " \n", "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n", "\n", - "Date: **May 27, 2018**\n", + "Date: **May 28, 2018**\n", "\n", "Copyright 1999-2018, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license\n", "\n", @@ -96,7 +96,7 @@ "recommend two widely used distrubutions which set up all relevant\n", "dependencies for Python, namely \n", "\n", - "1. [Anaconda](https://docs.anaconda.com/), \n", + "* [Anaconda](https://docs.anaconda.com/), \n", "\n", "which is an open source\n", "distribution of the Python and R programming languages for large-scale\n", @@ -104,7 +104,7 @@ "aims to simplify package management and deployment. Package versions\n", "are managed by the package management system **conda**. \n", "\n", - "1. [Enthought canopy](https://www.enthought.com/product/canopy/) \n", + "* [Enthought canopy](https://www.enthought.com/product/canopy/) \n", "\n", "is a Python\n", "distribution for scientific and analytic computing distribution and\n", @@ -382,7 +382,9 @@ "As mentioned above, **scikit-learn** has an impressive functionality.\n", "We can for example extract the values of $\\alpha$ and $\\beta$ and\n", "their error estimates, or the variance and standard deviation and many\n", - "other properties from the statistical data analysis. Here we show an\n", + "other properties from the statistical data analysis. \n", + "\n", + "Here we show an\n", "example of the functionality of scikit-learn." ] }, @@ -397,7 +399,7 @@ "import numpy as np \n", "import matplotlib.pyplot as plt \n", "from sklearn.linear_model import LinearRegression \n", - "from sklearn.metrics import mean_squared_error, r2_score\n", + "from sklearn.metrics import mean_squared_error, r2_score, mean_squared_log_error, mean_absolute_error\n", "\n", "x = np.random.rand(100,1)\n", "y = 2.0+ 5*x+0.5np.random.randn(100,1)\n", @@ -410,6 +412,10 @@ "print(\"Mean squared error: %.2f\" % mean_squared_error(y, ypredict))\n", "# Explained variance score: 1 is perfect prediction \n", "print('Variance score: %.2f' % r2_score(y, ypredict))\n", + "# Mean squared log error \n", + "print('Mean squared log error: %.2f' % mean_squared_log_error(y, ypredict) )\n", + "# Mean absolute error \n", + "print('Mean absolute error: %.2f' % mean_absolute_error(y, ypredict))\n", "plt.plot(x, ypredict, \"r-\")\n", "plt.plot(x, y ,'ro')\n", "plt.axis([0.0,1.0,1.5, 7.0])\n", @@ -452,7 +458,7 @@ "constant model that always predicts the expected value of $\\hat{y}$,\n", "disregarding the input features, would get a $R^2$ score of $0.0$.\n", "\n", - "If $\\tilde{\\hat{y}}_i$ is the predicted value of the i-th sample and $y_i$ is the corresponding true value, then the score $R^2$ is defined as" + "If $\\tilde{\\hat{y}}_i$ is the predicted value of the $i-th$ sample and $y_i$ is the corresponding true value, then the score $R^2$ is defined as" ] }, { @@ -468,7 +474,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "where the mean value" + "where we have defined the mean value of $\\hat{y}$ as" ] }, { @@ -484,7 +490,48 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We will discuss in more detail these and more function in the various lectures.\n", + "Another quantity will meet again in our discussions of regression analysis is \n", + " mean absolute error (MAE), a risk metric corresponding to the expected value of the absolute error loss or what we call the $l1$-norm loss. In our discussion above we presented the relative error.\n", + "The MAE is defined as follows" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$$\n", + "\\text{MAE}(\\hat{y}, \\hat{\\tilde{y}}) = \\frac{1}{n} \\sum_{i=0}^{n-1} \\left| y_i - \\tilde{y}_i \\right|.\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally we present the \n", + "squared logarithmic (quadratic) error" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$$\n", + "\\text{MSLE}(\\hat{y}, \\hat{\\tilde{y}}) = \\frac{1}{n} \\sum_{i=0}^{n - 1} (\\log_e (1 + y_i) - \\log_e (1 + \\tilde{y}_i) )^2,\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "where $\\log_e (x)$ stands for the natural logarithm of $x$. This error\n", + "estimate is best to use when targets having exponential growth, such\n", + "as population counts, average sales of a commodity over a span of\n", + "years etc. \n", + "\n", + "We will discuss in more\n", + "detail these and more function in the various lectures.\n", "\n", "Another useful Python package is\n", "[pandas](https://pandas.pydata.org/), which is an open source library\n", diff --git a/doc/pub/How2ReadData/ipynb/ipynb-How2ReadData-src.tar.gz b/doc/pub/How2ReadData/ipynb/ipynb-How2ReadData-src.tar.gz index cd3398822c119770bb7463acb526786a25d80826..532ba34d7e2c85a21b685cb42b168d9969f4997b 100644 GIT binary patch delta 20 ccmccmmF?nrrV` zd)BNPry1BW`Pj7qAP`#CY$lwELWabNOfJZYjIeo$TA<+|?1_djBn=Q?U0^^1JZ@@| z-F~{D;sBk)3~R|TlX(@E8)~k(!8!B4yBNNCv78GS0PPeiK1G$?xDtluK*K)Qs3egQ z%{?AS!x(OHQMzIrqITM5v1N=*gVq{$F;tuC>VB^?x{jap8TSj@OX=Me6%}4B1Mex_ z#};7^6s7hPn_`->mjZg&diH3XWPcT2e-gr7cVF*~d@SkHxz(E{B15A#SVF~u{$Ke- 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