diff --git a/docs/mllib-guide.md b/docs/mllib-guide.md index c897f8b36c6e3b3d893f261e54196c620763e3bb..1a629994cc4ed8e1826d80fc06e7421f1a220b09 100644 --- a/docs/mllib-guide.md +++ b/docs/mllib-guide.md @@ -3,4 +3,189 @@ layout: global title: Machine Learning Library (MLlib) --- -Coming soon. +MLlib is a Spark implementation of some common machine learning (ML) +functionality, as well associated unit tests and data generators. MLlib +currently supports four common types of machine learning problem settings, +namely, binary classification, regression, clustering and collaborative +filtering, as well as an underlying gradient descent optimization primitive. +This guide will outline the functionality supported in MLlib and also provides +an example of invoking MLlib. + +# Binary Classification + +Binary classification is a supervised learning problem in which we want to +classify entities into one of two distinct categories or labels, e.g., +predicting whether or not emails are spam. This problem involves executing a +learning *Algorithm* on a set of *labeled* examples, i.e., a set of entities +represented via (numerical) features along with underlying category labels. +The algorithm returns a trained *Model* that can predict the label for new +entities for which the underlying label is unknown. + +MLlib currently supports two standard model families for binary classification, +namely [Linear Support Vector Machines +(SVMs)](http://en.wikipedia.org/wiki/Support_vector_machine) and [Logistic +Regression](http://en.wikipedia.org/wiki/Logistic_regression), along with [L1 +and L2 regularized](http://en.wikipedia.org/wiki/Regularization_(mathematics)) +variants of each model family. The training algorithms all leverage an +underlying gradient descent primitive (described +[below](#gradient-descent-primitive)), and take as input a regularization +parameter (*regParam*) along with various parameters associated with gradient +descent (*stepSize*, *numIterations*, *miniBatchFraction*). + +The following code snippet illustrates how to load a sample dataset, execute a +training algorithm on this training data using a static method in the algorithm +object, and make predictions with the resulting model to compute the training +error. + +{% highlight scala %} +import org.apache.spark.SparkContext +import org.apache.spark.mllib.classification.SVMWithSGD +import org.apache.spark.mllib.regression.LabeledPoint + +// Load and parse the data file +val data = sc.textFile("mllib/data/sample_svm_data.txt") +val parsedData = data.map(line => { + val parts = line.split(' ') + LabeledPoint(parts(0).toDouble, parts.tail.map(x => x.toDouble).toArray) +}) + +// Run training algorithm +val numIterations = 20 +val model = SVMWithSGD.train( + parsedData, + numIterations) + +// Evaluate model on training examples and compute training error +val labelAndPreds = parsedData.map(r => { + val prediction = model.predict(r.features) + (r.label, prediction) +}) +val trainErr = labelAndPreds.filter(r => r._1 != r._2).count.toDouble / parsedData.count +println("trainError = " + trainErr) +{% endhighlight %} + +The `SVMWithSGD.train()` method by default performs L2 regularization with the +regularization parameter set to 1.0. If we want to configure this algorithm, we +can customize `SVMWithSGD` further by creating a new object directly and +calling setter methods. All other MLlib algorithms support customization in +this way as well. For example, the following code produces an L1 regularized +variant of SVMs with regularization parameter set to 0.1, and runs the training +algorithm for 200 iterations. + +{% highlight scala %} +import org.apache.spark.mllib.optimization.L1Updater + +val svmAlg = new SVMWithSGD() +svmAlg.optimizer.setNumIterations(200) + .setRegParam(0.1) + .setUpdater(new L1Updater) +val modelL1 = svmAlg.run(parsedData) +{% endhighlight %} + +Both of the code snippets above can be executed in `spark-shell` to generate a +classifier for the provided dataset. + +Available algorithms for binary classification: + +* [SVMWithSGD](api/mllib/index.html#org.apache.spark.mllib.classification.SVMWithSGD) +* [LogisticRegressionWithSGD](api/mllib/index.html#org.apache.spark.mllib.classification.LogisticRegressionWithSGD) + +# Linear Regression + +Linear regression is another classical supervised learning setting. In this +problem, each entity is associated with a real-valued label (as opposed to a +binary label as in binary classification), and we want to predict labels as +closely as possible given numerical features representing entities. MLlib +supports linear regression as well as L1 +([lasso](http://en.wikipedia.org/wiki/Lasso_(statistics)#Lasso_method)) and L2 +([ridge](http://en.wikipedia.org/wiki/Ridge_regression)) regularized variants. +The regression algorithms in MLlib also leverage the underlying gradient +descent primitive (described [below](#gradient-descent-primitive)), and have +the same parameters as the binary classification algorithms described above. + +Available algorithms for linear regression: + +* [LinearRegressionWithSGD](api/mllib/index.html#org.apache.spark.mllib.regression.LinearRegressionWithSGD) +* [RidgeRegressionWithSGD](api/mllib/index.html#org.apache.spark.mllib.regression.RidgeRegressionWithSGD) +* [LassoWithSGD](api/mllib/index.html#org.apache.spark.mllib.regression.LassoWithSGD) + +# Clustering + +Clustering is an unsupervised learning problem whereby we aim to group subsets +of entities with one another based on some notion of similarity. Clustering is +often used for exploratory analysis and/or as a component of a hierarchical +supervised learning pipeline (in which distinct classifiers or regression +models are trained for each cluster). MLlib supports +[k-means](http://en.wikipedia.org/wiki/K-means_clustering) clustering, arguably +the most commonly used clustering approach that clusters the data points into +*k* clusters. The MLlib implementation includes a parallelized +variant of the [k-means++](http://en.wikipedia.org/wiki/K-means%2B%2B) method +called [kmeans||](http://theory.stanford.edu/~sergei/papers/vldb12-kmpar.pdf). +The implementation in MLlib has the following parameters: + +* *k* is the number of clusters. +* *maxIterations* is the maximum number of iterations to run. +* *initializationMode* specifies either random initialization or +initialization via k-means\|\|. +* *runs* is the number of times to run the k-means algorithm (k-means is not +guaranteed to find a globally optimal solution, and when run multiple times on +a given dataset, the algorithm returns the best clustering result). +* *initializiationSteps* determines the number of steps in the k-means\|\| algorithm. +* *epsilon* determines the distance threshold within which we consider k-means to have converged. + +Available algorithms for clustering: + +* [KMeans](api/mllib/index.html#org.apache.spark.mllib.clustering.KMeans) + +# Collaborative Filtering + +[Collaborative +filtering](http://en.wikipedia.org/wiki/Recommender_system#Collaborative_filtering) +is commonly used for recommender systems. These techniques aim to fill in the +missing entries of a user-product association matrix. MLlib currently supports +model-based collaborative filtering, in which users and products are described +by a small set of latent factors that can be used to predict missing entries. +In particular, we implement the [alternating least squares +(ALS)](http://www2.research.att.com/~volinsky/papers/ieeecomputer.pdf) +algorithm to learn these latent factors. The implementation in MLlib has the +following parameters: + +* *numBlocks* is the number of blacks used to parallelize computation (set to -1 to auto-configure). +* *rank* is the number of latent factors in our model. +* *iterations* is the number of iterations to run. +* *lambda* specifies the regularization parameter in ALS. + +Available algorithms for collaborative filtering: + +* [ALS](api/mllib/index.html#org.apache.spark.mllib.recommendation.ALS) + +# Gradient Descent Primitive + +[Gradient descent](http://en.wikipedia.org/wiki/Gradient_descent) (along with +stochastic variants thereof) are first-order optimization methods that are +well-suited for large-scale and distributed computation. Gradient descent +methods aim to find a local minimum of a function by iteratively taking steps +in the direction of the negative gradient of the function at the current point, +i.e., the current parameter value. Gradient descent is included as a low-level +primitive in MLlib, upon which various ML algorithms are developed, and has the +following parameters: + +* *gradient* is a class that computes the stochastic gradient of the function +being optimized, i.e., with respect to a single training example, at the +current parameter value. MLlib includes gradient classes for common loss +functions, e.g., hinge, logistic, least-squares. The gradient class takes as +input a training example, its label, and the current parameter value. +* *updater* is a class that updates weights in each iteration of gradient +descent. MLlib includes updaters for cases without regularization, as well as +L1 and L2 regularizers. +* *stepSize* is a scalar value denoting the initial step size for gradient +descent. All updaters in MLlib use a step size at the t-th step equal to +stepSize / sqrt(t). +* *numIterations* is the number of iterations to run. +* *regParam* is the regularization parameter when using L1 or L2 regularization. +* *miniBatchFraction* is the fraction of the data used to compute the gradient +at each iteration. + +Available algorithms for gradient descent: + +* [GradientDescent](api/mllib/index.html#org.apache.spark.mllib.optimization.GradientDescent) diff --git a/mllib/data/sample_svm_data.txt b/mllib/data/sample_svm_data.txt new file mode 100644 index 0000000000000000000000000000000000000000..7ab30bd93ceafb717a3e3b87d49a77ba277ef5e2 --- /dev/null +++ b/mllib/data/sample_svm_data.txt @@ -0,0 +1,322 @@ +1 0 2.52078447201548 0 0 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 0 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 12.72816758217773 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 0 0 0 0 4.745052855503306 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 0 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 0 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 0 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 0 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 0 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 0 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 0 0 2.004684436494304 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 6.857275130999357 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 0 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 10.4087817597473 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 0 0 2.061393766919624 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 12.72816758217773 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 4.745052855503306 0 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 2.52078447201548 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +1 0 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 0 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 0 2.52078447201548 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +0 0 2.52078447201548 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 2.061393766919624 0 0 2.004684436494304 0 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 4.745052855503306 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 2.52078447201548 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 0 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 0 2.619965104088255 0 0 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 0 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 0 2.52078447201548 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 0 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 6.857275130999357 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 4.745052855503306 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 2.52078447201548 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 0 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 0 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 4.745052855503306 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 0 0 0 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +0 0 2.52078447201548 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 2.061393766919624 2.619965104088255 4.745052855503306 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 0 2.52078447201548 0 0 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 0 0 0 0 0 +0 0 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 0 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 6.857275130999357 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +0 0 2.52078447201548 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 0 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 0 2.52078447201548 0 0 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 0 0 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 0 0 2.061393766919624 0 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 0 2.52078447201548 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 4.745052855503306 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 0 0 0 0 0 0 0 2.122974378789621 0 0 0 0 12.72816758217773 10.4087817597473 12.72816758217773 17.97228742438751 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 4.745052855503306 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 0 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 0 2.52078447201548 2.061393766919624 0 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 0 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 4.745052855503306 2.004684436494304 0 0 0 0 0 0 0 0 0 0 +1 0 0 2.061393766919624 0 0 2.004684436494304 2.000347299268466 0 0 0 6.857275130999357 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 4.745052855503306 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 6.857275130999357 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 0 4.745052855503306 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 0 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 4.745052855503306 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +0 0 2.52078447201548 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 4.745052855503306 2.004684436494304 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 0 2.52078447201548 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 0 0 0 2.000347299268466 2.122974378789621 0 0 6.857275130999357 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 4.745052855503306 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 2.619965104088255 0 0 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 0 0 2.061393766919624 0 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 2.061393766919624 0 0 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 6.857275130999357 0 0 0 0 0 +1 2.857738033247042 0 2.061393766919624 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 2.000347299268466 0 0 0 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 2.52078447201548 2.061393766919624 2.619965104088255 0 0 2.000347299268466 0 0 0 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 0 0 0 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 4.745052855503306 0 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 2.52078447201548 0 0 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 2.857738033247042 2.52078447201548 0 2.619965104088255 0 2.004684436494304 0 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 2.061393766919624 0 0 2.004684436494304 0 2.122974378789621 0 0 0 0 0 10.4087817597473 0 0 +0 2.857738033247042 0 2.061393766919624 2.619965104088255 0 2.004684436494304 0 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +0 2.857738033247042 0 0 2.619965104088255 0 2.004684436494304 2.000347299268466 2.122974378789621 0 0 0 0 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 2.000347299268466 0 2.228387042742021 2.228387042742023 0 0 0 0 0 0 +1 0 2.52078447201548 0 2.619965104088255 0 0 0 0 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0 +1 2.857738033247042 0 0 2.619965104088255 0 0 0 2.122974378789621 2.228387042742021 2.228387042742023 0 2.055002875864414 0 0 0 0