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PROTEUS Scalable online machine learning for predictive analytics and real-time interactive visualization 687691 D2.8 First prototype (V1) Lead Author: AMIII With contributions from: TREE, DFKI, BU, LMDP, TRI Reviewer: LMDP Deliverable nature: Demonstrator (D) Dissemination level: (Confidentiality) Public (PU) Contractual delivery date: 31/05/2017 Actual delivery date: 31/05/2017 Version: 1.0 Total number of pages: 88 Keywords:

Transcript of D2.8 First prototype (V1) - s293afedef7b6d099.jimcontent.com...of Apache Flink for easily analysing...

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PROTEUS Scalable online machine learning for predictive analytics and real-time

interactive visualization

687691

D2.8 First prototype (V1) Lead Author: AMIII

With contributions from: TREE, DFKI, BU, LMDP, TRI Reviewer: LMDP

Deliverable nature: Demonstrator (D)

Dissemination level: (Confidentiality)

Public (PU)

Contractual delivery date: 31/05/2017

Actual delivery date: 31/05/2017

Version: 1.0

Total number of pages: 88

Keywords:

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Abstract

The appearance of defects in the products produced by ArcelorMittal represent an important cost which is

aimed to be reduced by the company. To this regard, the present document details three industrial use cases

proposed by ArcelorMittal which are aimed to be solved, and have guided the implementation of the first

prototype in PROTEUS.

This deliverable focuses on the software requirements and technical design of the first prototype integrated

as a result of PROTEUS, jointly with the setup of the integration and validation environment, and the

definition of the KPIs involved and their evaluation after the prototype execution phase.

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Executive summary

In previous deliverables it was presented the general requirements and objectives of the industrial use case

related to the early-stage detection of defects in the Hot Strip Mill. These requirements tackled software and

hardware issues whereas the objectives focused their goals in the early detection of defects in general.

The current deliverable focuses on several goals, among which we can find the detailed description of the

industrial use cases. These cases derive from the data provided by ArcelorMittal which cover data-at-rest and

data-in-motion. Thus, a detailed description of three industrial use cases is provided jointly with the

objectives that are expected to be achieved in each one. This will drive the implementation of the prototype.

From this specific use cases, the technical goals derive, like the one proposing a declarative language on top

of Apache Flink for easily analysing data streams and batch datasets using the integrated processing engine

(first prototype). Moreover, in this document it is also presented the prototype of a stream library on top of

Apache Flink capable of querying the data streams of the industrial scenario (moments, heavy hitters, event

detection, subsampling, statistics) devoted to the analytic part of the project (i.e. SOLMA). Finally, specific

requirements and features demanded at the visualisation dashboard for considering both types of data are

specified.

The current deliverable details the software implementation and setup of the first prototype in PROTEUS

following the aforementioned objectives according to the business use cases covering some alarming issues

and pattern discovery aiming to detect and understand the appearance of flatness defects. Besides integrating

the technology components produced by PROTEUS as a result of the research WPs (WP3, WP4 and WP5),

the work performed in this task and documented in this deliverable also included the implementation of

specific components that are required for the recreation of the operational environment, following the actual

data production workflow and timeline, as a simulation of the actual production environment in the industrial

context (i.e. in the form of configurable data producers, tailored to the specific performance of the real

scenario).

Finally, some Key Performance Indicators (KPIs) have been defined as the ways to measure to what extent

the objectives, both business and technical objectives, have been guaranteed and fulfilled with the current

technology.

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Document Information

IST Project

Number

687691 Acronym PROTEUS

Full Title First prototype (V1)

Project URL www.proteus-bigdata.com

EU Project Officer Martina EYDNER

Deliverable Number D2.8 Title First prototype (V1)

Work Package Number WP2 Title Industrial case: requirements, challenges,

validation and demonstration

Date of Delivery Contractual M18 Actual M18

Status version v.1 final ■

Nature report □ demonstrator ■ other □

Dissemination level public ■ restricted □

Authors (Partner) AMIII

Responsible Author Name E-mail

Partner AMIII Phone

Abstract

(for dissemination)

The appearance of defects in the products produced by ArcelorMittal represent a

representative cost which is aimed to be reduced by the company. To this

regard, the present document details three industrial use cases proposed by

ArcelorMittal which are aimed to be solved.

Moreover, other software requirements are detailed jointly with the definition of

the KPIs involved and their evaluation after the prototype execution phase.

Keywords Use cases, software requirements, KPIs, prototype

Version Log

Issue Date Rev. No. Author Change

24/04/2017 0.1 AMIII ToC and section 1

08/05/2017 0.2 TREE, AMIII Refined section1 and section 2

10/05/2017 0.3 AMIII, TREE, DFKI Additional inputs on the technical

sections

11/05/2017 0.4 AMIII, TRI KPI first version

13/05/2017 0.5 AMIII Use cases revised

15/05/2017 0.6 AMIII, TREE Minor refinements on the technical

design and setup

16/05/2017 0.7 AMIII Document integrations

18/05/2017 0.8 AMIII, TREE Final refinements

22/05/2017 0.9 AMIII Common sections (abstract,

summary, conclusions)

31/05/2017 1.0 AMIII Final release

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Table of Contents

Executive summary ........................................................................................................................................... 3 Document Information ...................................................................................................................................... 4 Table of Contents .............................................................................................................................................. 5 Abbreviations .................................................................................................................................................... 6 1 Introduction: scenario definition, functional design and objectives ........................................................... 7

1.1 Specific business use cases for the prototype (V1) ............................................................................. 7 1.1.1 Control of the key process parameters ......................................................................................... 7 1.1.2 Better quality of the flatness of the products ............................................................................... 8 1.1.3 Better quality of the flatness and process .................................................................................. 10

1.2 Data production flow in the industrial environment ......................................................................... 11 1.2.1 Data description ......................................................................................................................... 11

2 Technical design ....................................................................................................................................... 13 2.1 Overview ........................................................................................................................................... 13 2.2 Cluster infrastructure......................................................................................................................... 14

2.2.1 Hardware Architecture ............................................................................................................... 14 2.2.2 Base Software & Services Architecture: services under Hortonworks data platform and

CouchBase ................................................................................................................................................ 16 2.2.3 The PROTEUS core contributions ............................................................................................ 19

2.3 Visual Analytics Platform ................................................................................................................. 21 2.3.1 Backend ..................................................................................................................................... 21 2.3.2 Front-end.................................................................................................................................... 22

2.4 Setup ................................................................................................................................................. 22 2.4.1 Required packages before installation ....................................................................................... 22 2.4.2 Operating System ....................................................................................................................... 23 2.4.3 Server and Agents ...................................................................................................................... 23 2.4.4 Hortonworks Data Platform deployment ................................................................................... 25 2.4.5 Proteus Environment ................................................................................................................. 25 2.4.6 Additional Storage System: Couchbase ..................................................................................... 28 2.4.7 Visual Analytics Infrastructure .................................................................................................. 29 2.4.8 Setup Summary .......................................................................................................................... 29

3 Validations & KPIs .................................................................................................................................. 31 3.1 KPI review ........................................................................................................................................ 31 3.2 Use case evaluation ........................................................................................................................... 32

3.2.1 Defective coil detection KPIs .................................................................................................... 32 3.2.2 Process improvement KPIs ........................................................................................................ 33

3.3 KPIs for AMIII data analysis, visualisation and visual analytics platform ....................................... 33 3.3.1 Data extraction-related KPIs ...................................................................................................... 33 3.3.2 Data analysis-related KPIs ......................................................................................................... 34 3.3.3 Data visualization-related KPIs ................................................................................................. 34 3.3.4 KPIs relevant to the PROTEUS specific components ............................................................... 34

3.4 Big data KPIs .................................................................................................................................... 35 3.5 Summary ........................................................................................................................................... 36

4 Conclusions .............................................................................................................................................. 37 5 References ................................................................................................................................................ 38 Annex A Coil data formats for streaming data .......................................................................................... 39

A.1 Variables measured on 1 Dimension................................................................................................. 39 A.2 Variables measured on 2 Dimensions ............................................................................................... 39 A.3 HSM data .......................................................................................................................................... 39

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Abbreviations

KPI: Key Performance Indicators

SOLMA: Scalable Online Machine Learning Algorithm

PEACH: Proteus Elastic Cache

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1 Introduction: scenario definition, functional design and

objectives

Deliverable D2.1 presented the general requirements and objectives in order to address the early-stage

detection of defects in the Hot Strip Mill. For this industry, the early detection of defects in the process of

steel production is a key point due to the remarkable economic impact that they have later on. For example,

the cost of transformation of defective material to make it useful (by degradation of the type of material for

instance) will represent an economical loss or, in the worst case, the rejection of the material by the

customers, which represents a bad impact for the reputation of the enterprise. Thus, to overcome or mitigate

all these situations, the sooner the defects are detected, the sooner the process can be modified/stopped in

order to save these expenses.

Once the general context of the problem is recalled, the functional design will be summarized. The role of

ArcelorMittal, as the end-user industrial partner, is to specify the industrial use case to take advantage of the

technologies that will be developed in order to fulfil the industrial requirements. Thus, to this extent, Proteus

platform will be designed and deployed in order to adjust to ArcelorMittal’s necessities.

In deliverable D2.7 was already specified the software prototypes that will be deployed and integrated for the

ArcelorMittal use case, describing the infrastructure to get actual data in real-time from the factory sensors

and historical registers from the systems without affecting to the daily functioning steelmaking process.

Hardware and software requirements and restrictions to the integration with existing systems were also

specified.

The current deliverable focuses on several goals, among which we can find the description of the industrial

use cases which derive from the available data-at-rest and data-in-motion with the aim of early detecting the

appearance of defects and minimizing the effect of having missed any of them.

In this section, a detailed description of three use cases is provided jointly with the objectives that are

expected to solve.

1.1 Specific business use cases for the prototype (V1)

In the Hot Strip Mill several parameters that affect the final dimensional properties of the obtained coils are

measured. Some example of these parameters would be temperatures, tension in the rollers, vibrations,

speeds of lamination, etc. All these data are collected mainly from a sensor network installed across the

facility. Those parameters will define the properties of the final coil and therefore, it is essential to obtain and

analyse them.

Defects introduced in early processes of steel transformation, such as the Hot Strip Mill, have a great

economic impact due to the costs of posterior transformations prior to detecting the defect. The coils with

defects continue through other facilities until they are identified as defective. Identifying a greater number of

defective coils would reduce the amount of money that is wasted by the company. Therefore, the goal is to

analyse the data provided by the inspection system in the Hot Strip Mill in order to

Detect as many defective coils as possible and thus, stop producing defective subsequent coils

Reassign the detected defective coils to other uses that require lower quality standards, redefining

new industrial routes.

To this extent, this first prototype describes the specific business use cases which arise as an attempt to detect

and minimize the impact of the defects in this facility.

1.1.1 Control of the key process parameters

As mentioned before, there is a wide network of sensors spread along the HSM measuring online process

data parameters. As might be expected, a correct and deep control of them would allow ArcelorMittal to be

more efficient in its process. In a more precise way, a detailed control of the parameters would help to be

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aware about which are the unbreakable margins that these parameters should not cross in order to prevent the

appearance of defects, breakages, etc.

Given the large amount of parameters provided, it is not feasible to make a manual inspection to detect

deviations in some of the variables. Therefore, a crucial goal would be to develop a method able to monitor

all these stream data and trigger alarms when the values of the variables are out of a “safety zone”. These

alarms would represent a useful and agile tool for the plant operators that would allow them to take decisions

and develop actions. According to these decision and actions, it would be possible to prevent the appearance

of a defect or, in the worst case, if the defect is already present, would allow them to evaluate which is the

best way to proceed. For instance, if it is possible to see and warn that the tension of a coil is increasing too

much, then the operator could decide to open a bit the stands with the rollers in order to prevent a breakage

of the coil strip. This would be a predictive action. By contrast, in the case that there is already a flatness

issue (the speed tension has exceed a threshold which implies flatness), a possible action would be to stop

the rolling process or to automatically downgrade the quality of the coil to a less exigent client.

To these control purposes, the tasks to be defined would be

a system computing online averages and variances representing a “safety zone” for each of the given

variables. This is a simple and interesting approach that would allow plant operators to track the

evolution of the time series and detect when certain variable is exceeding the “normal-functioning”

range. This range should be adaptable by the operators so that moving the variability up and down, a

more conservative or more permissive region is obtained

a system providing a visual alarm easy to interpret by the operators (I.e., apart from the “safety zone”

which can help them to visualize the evolution of the series, the alarm will help the operators by

focussing on the risky parts.)

The visualizations are a key point in this use case as it would allow the experts to have the general view in a

quick glance. Thus, the visualization tool should be able to visualize the stream data and provide :

the online representation of the “safety zone”, given by average and variability of the chosen

variable. This tool should allow the users to tune the parameters to make the region more or less

wide (depending on their goals end expert knowledge)

an alarm representation highlighting the risky/problematic zones

Figure 1: Representation of the zone, where in red are highlighted the alarms that should be

given

1.1.2 Better quality of the flatness of the products

There are three main parameters to take into account regarding the quality of the coils: thickness, width and

flatness. However, the latest is the hardest to predict due to its variability. There are different factors

affecting the flatness of the coils although they are not known in advance.

Then, as flatness of the product entail expensive implications, the main goal of this use case is to predict the

flatness of the coils. To this extent, we should be able to

to extract insights from the flatness of previous coils to make flatness predictions of future coils

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to develop predictive models which are updated iteratively with the new incoming flatness

data, i.e., after each coil has finished and therefore, new flatness measures are available for that coil.

To sum up the goal of the use case, the following diagrams clarifies the available data, the models required

and the goal pursued by them:

Figure 2: Representation of the approach proposed

In the diagram the data sources are represented in orange. These two types of data are:

the flatness from past and current coils, which is only obtained once the coil has finished the

rolling process

In grey is represented the desired model whose final goal is to predict the flatness of a coil. Due to the time

delay between the prediction of the flatness and the real measurement of this variable, the model has to

follow an iterative process where in each step it is:

predicting the flatness from the particular coil that is being produced in this step based on previous

coils

update the model parameters once the coil has been produced and the real flatness is known (New

updated model) . This second step is really important as, once we know the predicted flatness for a

coil and its real flatness, it is possible to make adjustments in the models that make it more accurate

for future coils. In other words, you are helping the model to learn the mistakes he made in the

flatness prediction in step 1 to adjust its parameters to make a better prediction in step 2. This point

would be represented in Figure 4. In the diagram the shadowed zone represents the time when the

coil is still in the lamination process, an thus, there is no flatness information about this coil. For the

first coil, in this zone there are only other stream variables whereas for subsequent coils the real

flatness of previous coils is also available. The model has to start to have the first real flatness to

start the iterative process of flatness prediction.

Figure 3: Representation of the iterative model update

A last remark would be that, without loss of generality, we cannot assume that the corrected model

would be updated with the real flatness information of the previous coil. I.e., in some cases it could

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be necessary to use the information of coils further back, as the previous one is not ready on time to

make the correction. In other words, it could be a time gap between the end of the processed coil and

the creation of its real flatness, which imply that the model might be updated some coils after the

processed one.

Then, once the model/method is done it should be able to provide :

the prediction of the degree of flatness in each moment as the coil is passing along the process

an error of the prediction estimate as the models are being updated. In other words, after each update

of the models (in all the intermediate steps), measure the error that they have made (flatness

prediction versus real flatness)

1.1.3 Better quality of the flatness and process

As an extension of the previous section, the goal could go one step beyond and expand the goals of flatness

prediction to try to find the causes why this flatness is taking place. Thus, we aim to find patterns in the

process variables that might explain/predict the appearance of flatness. These patterns would represent

different aspects from the process variables, such as peaks, pronounced slopes, valleys which will be

associated with certain degrees of flatness.

Thus, an approach would be to exploit the power of the state-of-the-art techniques of time series pattern

extraction to relate the flatness variables with the shape of the remaining variables. The main idea would be

to find patterns in the process variables and be able to associate certain trends with specific degrees

of flatness. For instance, a dummy example will be that when the time series representing the

temperature starts with a peak and end with a sharp fall the flatness is going to be low.

to define the time series classes based on the flatness map. The correspondence would be something

like: when the flatness is zero the coil is perfectly flat whereas when the values are far from zero (in

both positive and negative directions) the degree of flatness decreases accordingly.

In a visual way, it would be desirable to be able to

highlight the important patterns that are being considered

design appropriate alarms according to the shape of the series

Figure 4: Making use of the knowledge that high peaks at the start of the coil for certain

variable induce a higher risk of low flatness (red), trigger an alarm

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1.2 Data production flow in the industrial environment

1.2.1 Data description

Datasets used on the present prototype were provided by Arcelor Mittal as the final user of PROTEUS. Coil

production data consists on different measures that are made available during the production process at

different moments in time:

Time-series: these data are produced and available in real time during the coil production. It consist

of 53 different variables that are measured and made available in real time by different sensors

deployed in the actual production environment. These variables present a variety of formats,

combining both 1D and 2D information, and are produced at different rates (depending on the

specific variable) ranging from 50 milliseconds to around 1 second period.

HSM: historical and final production coil data (known as HMS data). It provides more than 7,000

variables as aggregated information per coil at the end of the production process, thus this is

available only once the production has finalised for one particular coil.

Flatness: measures of the flatness of the resulting coil. It consists of 3 variables (2 of them as 1D

flatness, and an additional 2D flatness measure) following a format that is compliant with the one

used in time-series, and synchronised with it by the spatial information (x, y). This information is

measured and available only after the coil has been fully produced, and after a certain delay due

to the production environment setup and infrastructure. As previously introduced in previous

sections and also in previous deliverable D2.1, this information represents one of the main targets

for the real time learning and predictive processes to be enabled by PROTEUS, since the

capability to predict flatness in real time (without the need to wait until the process has finalised to

get the actual measures) would be key to improve business operations.

The figure below provides an overview of the process:

Figure 5: Summary of data production flow

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The diagram represents the following: on top left the real time data process is represented. These are the 53

variables, defined as stream data previously, which are generated meanwhile the coils are being processed.

Some examples are provided, as the positions or the coiled. Then, on top right are the flatness data, which are

the three flatness variables generated once the coil has finished the lamination process. On bottom right are

represented the third and last type of data, the historical HSM data.

In the centre part of the diagram is represented the temporal evolution of the coil (from the start to the end of

the production process) and the available data in each moment. I.e., the first block represents when the coil is

being produced and at this point there is only real time data process available. Once the process has finished,

there are HSM historical data and flatness measure process. The flatness, as was mentioned in a previous

comment, is placed at the very end of the second block as in some cases there is some delay which makes

that the real flatness is not provided until minutes later. In any case, once it is known, it becomes another

input variable for the next iteration of the model (as the white arrow shows).

For further information about the data formats and schemas, please see Annex A.

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2 Technical design

2.1 Overview

The Proteus environment will be deployed on a computer cluster located at Treelogic headquarters. The

cluster consists of four virtual machines with the Hortonworks Data Platform 2.5 distribution, which is

capable of being integrated with external services such as Apache Flink and CouchBase. These four virtual

machines are distributed on a master-slave architecture and are in charge of providing the hardware resources

to achieve the full integration of the components of the demo. An overview of the architecture and the data

flow is shown in the following image:

Figure 6: The overall distributed architecture of PROTEUS

The raw data starts its life within an ETL process (1) to send such data to a distributed HDFS cluster along

the four nodes. At this point Kafka takes the data (2) to start the ingestion on processing side with Apache

Flink Cluster (3) over Proteus Hybrid Engine, PEACH and SOLMA library developed on the project, or

directly to CouchBase Server as another parallel ingestion (3) using Kafka Connect in order to persist data

without any process.

The cluster deployment Cluster deploy is based on a lambda architecture with two processing layers: a speed

layer and a batch layer.

Batch layer is in charge of process historical data persisted on the CouchBase server. Using a

specific Flink engine developed by Proteus team (SOLMA library, PEACH library and DSL), this

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layer will retrieve all data needed in order to improve some models that would be applied in the

speed layer.

Speed layer is in charge of process all incoming data in a real-time fashion. This layer could use

some specific models created or improved by the batch layer in order to process and analyse data,

obtaining results in near to real time requests by operator user.

At the end of both Flink processing stages, data will be stored in the CouchBase cluster (4) and sent as a real-

time stream to the Visual Analytics Platform where it is gathered by an Apache Kafka consumer at the back

end (6). The processed data will be improved by the continuous improvement process of the models

developed by the machine learning libraries (5).

The Visual Analytics Platform comprises a back-end application for authentication and data access; and a

front-end client (8) where the user can create and customise visualizations of the historical data (7) and the

results of the Proteus Hybrid Engine (6).

This is only an overview of the architecture of PROTEUS for a quick understanding. In the following

sections the services, integration and deployment will be explained in depth.

2.2 Cluster infrastructure

All the services in charge of storing, loading, transporting and processing data are deployed in a cluster

composed of four virtual machines in master-slave architecture

2.2.1 Hardware Architecture

The cluster is composed by one physical machine which is virtualized by VMWare Workstation

10.0.5.52125 in four virtual nodes.

Table 1: Cluster Physical Machine

Cluster Physical Machine

Processor 2x Xeon E5 2650 v2

RAM 64 GB

HDD 4 TB

The original machine is divided in four virtual nodes with the follow hardware virtualized

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Figure 7: Cluster details

Virtual Node 1: Master

Operating System Centos 7

RAM 12 GB

HDD 1 TB

Virtual Node 1: Slave 01

Operating System Centos 7

RAM 16 GB

HDD 1 TB

Cluster Physical Machine: Slave 02

Processor Centos 7

RAM 16 GB

HDD 1 TB

Cluster Physical Machine: Slave 03

Processor Centos 7

RAM 16 GB

HDD 1 TB

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2.2.2 Base Software & Services Architecture: services under Hortonworks data

platform and CouchBase

The platform selected to manage the cluster and the services is Hortonworks, which offers an installation

service that includes most of the necessary services. The platform can be later completed with the installation

of new services which can coexist with the services of the original package of the platform without

problems. The services and packages deployed and their functionality are described below.

The cluster uses a Hortonworks distribution, concretely the Hortonworks Data Platform on his 2.5 version.

This platform packages the most typical services of the Hadoop Ecosystem. Of this range of services

included by Hortonworks, are selected to be installed and active on the cluster only the necessary to achieve

the necessities of processes like data ingestion, data storage, data exploitation and management. This services

are described in the next sections.

2.2.2.1 Data Ingestion: Apache Kafka

Apache Kafka is a distributed streaming platform which enables publication and subscription to streams of

records. It gives the option of storing the records generated by a stream in a fault-tolerant way and it can

process the stream of records as they occur. A typical Kafka cluster is composed by the following elements:

Brokers: A Kafka cluster is formed by one to multiple brokers to maintain load balance. These

broker instances can handle thousands of reads and writes per second and TB of messages. In the

Proteus architecture there are three Kafka brokers located in the Slave 01, Slave 02 and Slave 03.

Kafka Producers: These are the elements responsible to push data to the brokers. In the real

environment only one coil is produced at a time. In Proteus deployment there will be a single

Producer.,

Kafa Consumer: Responsible to pull the data from a topic with the help of the cluster coordinator.

Although it belongs to the Kafka deployment, the Kafka Consumer is located in the Visual Analytics

Platform, so it will be described in its corresponding section. In Proteus Deployment there will be 3

All the components of the Kafka cluster are coordinated by one instance of Apache ZooKeeper, another

typical service of the Hadoop Ecosystem also included in the deployed Hortonworks Data Platform.

ZooKeeper is responsible of coordinating the brokers, which are stateless, and maintain the cluster state. The

architecture of the cluster is shown below

Figure 8: Kafka producer

Built using the API of Apache Kafka combined with the HDFS API, the Proteus Producer is a small project

capable of taking formatted data from the HDFS and generate a simulated streaming of a real production

environment. To achieve this, the Producer has one attribute called COIL_SPEED which is responsible of

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setting the time used on the production of one coil. By default it is 120 seconds, similar to the real industry

scenario of AMIII.

The way to get one coil produced in that 120 seconds is as follows: The producer reads all the data from the

HDFS to one coil on particularly. This data is stored in one temporary buffer, with the total count of lines for

these coil. In the buffer it is calculated all the distances between two positions x, which result is multiplied

by the result of the division between COIL_SPEED and the total count of lines of the coil, getting the final

delay between registers. This operation makes the producer capable of producing all the values for the same

x position in the same time, while the positions with bigger differences between the x position, will arrive at

different moments.

To get a big amount of data in real time and achieve the big data challenge, the producer is multithreaded, so

it is possible to set a bigger number of Coil on streaming production.

All the data is sent to one of the Kafka topics which is created with only one partition. Topics are divided

according to the production flow settings, as earlier described in section 1:

Real-time: who manages all the time-series data with 1 dimension (position x) and 2 Dimension

(position x and position y), produced and available in real time (streaming) during the coil

production.

HSM: who manages all HSM data, produced as aggregated information at the end of the process and

available only once the coil production has finalised.

Flatness: who manages the flatness data variables, produced as measures of the flatness of the

resulting coil, and available only after a certain delay after the coil production has finalised.

The data stream is composed by messages which create objects of type Coil. This Coil objects have the

format as explained at Annex A.

2.2.2.2 Data Storage: HDFS

The Hadoop Distributed File System (HDFS) is a distributed file system that shares many similarities with

traditional file systems. The HDFS have features like a highly fault-tolerance and a high throughput access to

data, making it the most common choice for applications that have large data sets like the industry scenario

subject of Proteus. The HDFS has a master/slave architecture composed by a single NameNode and a

variable number of DataNodes.

The NameNode is the master server. Its function is to manage the file system namespace and regulate the

access to files while the DataNodes are responsible for serving read and write requests from the file system's

clients and perform block creation, deletion and replication upon instruction from the NameNode.

In the Proteus architecture exists one NameNode located in the master node which coexists with one of the

DataNodes. Each of the remaining DataNodes are deployed for each slave node of the cluster. So, the HDFS

cluster is composed by one NameNode and four DataNodes deployed with the following architecture

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Figure 9: HDFS: Block replication

2.2.2.3 Data Storage: CouchBase

In addition to HDFS, the prototype architecture is also considering the use of CouchBase for data storage.

Couchbase is responsible to store the historical data in a reliable way. The applications developed with JSON

are fully compatible because Couchbase can speak JSON natively and supports binary for all the data storage

needs. Also, Couchbase comes with a developer-friendly query language, an optionally MapReduce for

simple, efficient and comprehensive data retrieval.

A Couchbase cluster composed by four nodes, hosts the database, which store documents. Each of these

documents is uniquely named in the database and it can be readed, updated or writed thanks a RESTful

HTTP API provided by Couchbase. Each of these documents are the primary unit data in Couchbase and

consists of any number of fields of varying types (text, number, boolean, lists, etc) and attachments with an

extra metadata maintained by the database system.

2.2.2.4 Data Exploitation: Apache Hive

The Apache Hive data warehouse software facilitates reading, writing and managing large datasets residing

in distributed storage using SQL language, the easiest way for a big majority of users. Apache Hive auto

translates the SQL query to MapReduce, and its structure can be projected onto data already in storage. The

Hive client provides a command line tool and a JDBC driver to make the queries.

Apache Hive is the tool selected in the Proteus architecture to perform queries about the raw and log data.

Exploring the Hadoop cluster capabilities with optimizations layers like Apache Tez and the creation of ORC

tables, Apache Hive is capable of making queries against the data stored in the HDFS getting back the results

in a low latency time, making possible to compare them with the results of the processing

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Figure 10: HIVE architecture

2.2.2.5 Management Services: Apache Ambari and CouchBase Dashboard

The Apache Ambari project is aimed at making Hadoop management simpler by developing software for

provisioning, managing and monitoring Apache Hadoop clusters. Ambari also provides an intuitive, easy-to-

use Hadoop management web UI backed by its RESTful APIs.

To make the deployment over the Proteus cluster and manage all the services, it is used the Horton Works

Dataplatform, which includes Ambari as the default management tool. All the operations realized over the

services, like changing between different configurations files in the services, checking the status and logs of

the services and resources consumption can be realized from a web interface friendly, very easy to use and

understand.

In addition, the Web Console is the main tool for managing the CouchBase environment. It is accessed by

navigating to the IP and PORT designated of a node running. From these dashboard it is possible to access to

the Cluster section, where information about the RAM and disks usage among others are provided. It is also

possible to make queries with against the data included in the cluster.

2.2.3 The PROTEUS core contributions

PROTEUS is taking advantage of the Apache Flink as the core platform (together with several state-of-the-

art technologies and services as previously described in the previous section), then further researching and

developing specific technology to enhance this platform. Apache Flink is an open-source framework for

distributed stream processing for high-performing, always-available, and accurate data streaming

applications. It is capable of providing results that are accurate even in the case of out-of-order or late-

arriving data. It is stateful and fault-tolerant and capable of working at large scale, and running on thousands

of nodes with good throughput and low latency.

Because Flink Engine is capable to work with batch and streaming data, it is the core tool to make all the

predictive processing, but in PROTEUS, the original Flink capabilities are being enhanced thanks the

including of the consortium developed tools, i.e., a fork of Apache Flink able to perform hybrid processing, a

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Scala-embedded engine-independent DSL called Lara, the SOLMA library, responsible to make all the

operations of the predictive analysis of the data. Each of these tools, will be described in the next sections.

Figure 11: The PROTEUS, Flink-based architecture

2.2.3.1 Data Processing: the PROTEUS Hybrid Engine

PROTEUS Hybrid Engine is a fork of Apache Flink. It features an extended support to operations that mix

streaming and batch processing. This is achieved through side inputs for stream operators, i.e., an operator

processes records coming from the stream as well as preloaded historical data. As a result, side inputs enable

hybrid processing within a stream operator.

2.2.3.2 Declarative Language: Lara

Lara is an engine-independent declarative language that allows programmers to author complete end-to-end

data analysis programs that are automatically parallelized. Lara is based on Emma, a deeply embedded in

Scala which enables authoring scalable programs using an abstract data types (called DataBag) and control

flow constructs. The main observation behind Lara is that data analytics first perform some preprocessing,

which naturally fits the dataflow paradigm, and then they perform some machine learning tasks, which are

expressed as linear algebra operations with iterations. Therefore, Lara aims to provide a common

environment that allows to define pipelines that mixes relational and linear algebra. To this end, Lara extends

Emma by introducing a Matrix data type meant for machine learning workloads. Secondly, Lara enables

joint optimizations over both relational and linear algebra as having a single pipeline made of both

operations enables holistic optimizations.

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2.2.3.3 Proteus Elastic Cache: PEACH

Peach (Proteus Elastic Cache) is a distributed key-value cache that can be used both inside and outside of the

Proteus scope. The cache aims to provide low latency responses on a distributed elastic deployment with

fault-tolerance capabilities. As a generic design, the cache could be integrated within Apache Flink to

speedup computing processes.

2.2.3.4 Scalable Online Machine Learning Algorithms: SOLMA

Solma is a scalable online machine learning library (including classification, clustering, regression, ensemble

algorithms, graph oriented algorithms, linear algebra operations, and anomaly and novelty detection)

implemented on top of Apache Flink using the hybrid processing capabilities.

2.3 Visual Analytics Platform

The visual analytics platform of Proteus architecture is deployed in a different machine which does not

belong to the cluster. All the machines are under the same subnet and have full visibility each others, but are

independent.

The analytics platform is designed as standalone software and can be run on commodity hardware and

plugged to the processing engine and historical database, running in a cluster. Its user interface features a

dashboard that provides querying, monitoring and visualization of both data-at-rest from the data storage

layer and data-in-motion streaming from the data processing engine.

This analytics platform is implemented as a client-server architecture comprising a back-end server that

provides user accounts and authentication; and a multi-platform client that can be used both as a web or a

desktop application.

2.3.1 Backend

The backend for the visual analytics infrastructure is implemented as a Java EE application, built on top of

the Spring Framework and deployed in an Apache Tomcat Server. It provides user authentication, querying

for the historical database using Spring Data and a Kafka consumer to collect the messages from the

processing engine.

2.3.1.1 User authentication and security

The visual analytics platform incorporates the Spring Security framework to preserve confidentiality of the

Proteus dataset. This framework provides customizable authentication, authorization and protection against

attacks like session fixation, clickjacking, cross site request forgery, etc.

2.3.1.2 Kafka Consumer

Data processed in the cluster infrastructure is written into Kafka topics (real-time, hsm & flatness) to be later

read by a Kafka consumer from the visual analytics platform.

2.3.1.3 Database connection

The visual analytics platform is able to query historical data stored in the CouchBase server, but it could be

connected to other kinds of databases for other use cases, both relational and non-relational. To enable these

queries, the backend employs Spring Data, which provides a common API for the data access layer to

abstract the programming model from the underlying data store.

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2.3.1.4 Datasources API

The datasources API allows bidirectional communication of the visualization at the client side of the

platform with the server side. This API can be used from the client-side to list all the available data sources,

either batch or streaming, and receive data through various protocols, namely WebSocket, HTTP or HTTP/2.

It can be extended to enable other protocols in the future.

2.3.2 Front-end

2.3.2.1 Proteus Dashboard

Proteus Dashboard is the user interface for the visual analytics platform. It is a cross-platform application

that can run either as a web application or a desktop application by means of the Electron framework. The

application allows the user to access a dashboard through a login screen where he can create and customize

Proteic visualizations that can then be connected to a set of data sources in the back-end of the visual

analytics platform. The dashboard is based in the ng2-admin framework, built with cutting edge, open source

technologies like Angular, Bootstrap 4, Webpack and Electron.

2.3.2.2 Proteic

Proteic is the data visualization library for the web created for the interactive visualization of the Proteus data

and the results of the incremental analytics engine. It is integrated in the Proteus Dashboard to display data

retrieved from the back-end of the visual analytics platform. The library features a convenient declarative

API for the creation of multiple kinds of visualizations suited for high volumes of both streaming and static

data. Its API allows the retrieval of data over the various communication protocols available in the

Datasources API of the back-end component.

This component is built and distributed as a standalone open source library that can be used in any data

visualization scenario for the web. It is implemented in the TypeScript language, and follows the latest

standards and good practices in web development to achieve high performance, compatibility and ease of

development. The design process of the library accounts for usability and accessibility of the various

visualizations, following design guidelines like responsive web design and offering alternative colour

palettes for colour blind-users.

2.4 Setup

2.4.1 Required packages before installation

Just before deploying the Hortonworks Data Platform in the virtual nodes, it is necessary to check that the

following software packages are installed in each of the virtual nodes:

Yum

Rpm

Scp

Curl

Tar

Wget

Open SSL ( v1.01, build 16 or later)

Python 2.7

Also, all nodes must be in same network in order to communicate among themselves.

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2.4.2 Operating System

The operating system in each of the nodes is Centos 7. By default, Centos 7 uses Chrony as synchronization

service, which will be uninstalled by NTP synchronization.

2.4.3 Server and Agents

2.4.3.1 Ambari Sever

The Ambari Server will be installed through yum. To achieve the deployment, it will be necessary download

and install the repository from the Ambari Server will be downloaded:

wget -nv http://public-repo-1.hortonworks.com/ambari/centos7/2.x/updates/2.4.2.0/ambari.repo -O

/etc/yum.repos.d/ambari.repo

After the properly check, the installation of Ambari-Server can be made:

yum install ambari-server

Before launch Ambari-Server, it is necessary make the setup:

ambari-server setup

In this setup, it will be checked the next points:

SELinux it will be necessary to be deactivated.

Ambari-Server will ask if the user want to “Customize user account for ambari-server daemon”. The

answer is no, by the way the installation is made as root user.

The iptables it will be necessary to be deactivated.

The version of JDK to install, 1.8 will be the selected choice and it will be necessary to accept the

user contract.

When the Ambari-Server will ask by a database to store the server states, it will be selected the

default option, where Ambari-Server uses the PostgreSQL by defect.

When the setup is ended, the Ambari-Server can be launched and checked.

ambari-server start

ambari-server status

2.4.3.2 Ambari Agents

With the Ambari-Server running propertly, is moment to install the Ambari-Agents, which will be need to be

installed manually. The first step consist in download the official repository from Hortonworks, like it was

made in the Ambari-Server in the three nodes.

wget -nv http://public-repo-1.hortonworks.com/ambari/centos7/2.x/updates/2.4.2.0/ambari.repo -O

/etc/yum.repos.d/ambari.repo

After check than the repository is correctly installed, it can be deployed the Ambari-Agent

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yum install ambari-agent

When the agent finishes the installation, it will be needed to edit the next file

File: /etc/ambari-agent/conf/ambari-agent.ini

[server]

hostname=<FQDN_Selected_for_Master>

url_port=8440

secured_url_port=8441

[agent]

logdir=/var/log/ambari-agent

piddir=/var/run/ambari-agent

prefix=/var/lib/ambari-agent/data

;loglevel=(DEBUG/INFO)

loglevel=INFO

data_cleanup_interval=86400

data_cleanup_max_age=2592000

data_cleanup_max_size_MB = 100

ping_port=8670

cache_dir=/var/lib/ambari-agent/cache

tolerate_download_failures=true

run_as_user=root

parallel_execution=0

alert_grace_period=5

alert_kinit_timeout=14400000

system_resource_overrides=/etc/resource_overrides

; memory_threshold_soft_mb=400

; memory_threshold_hard_mb=1000

[security]

keysdir=/var/lib/ambari-agent/keys

server_crt=ca.crt

passphrase_env_var_name=AMBARI_PASSPHRASE

ssl_verify_cert=0

[services]

pidLookupPath=/var/run/

Finally, ambari agents need to be started in all the machines

ambari-agent start

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2.4.4 Hortonworks Data Platform deployment

If the previous setup ends properly, a web interface will be showed in the FQDN selected for the Master in

the port 8080 by default, for example:

cluster.master.local:8080

The web interface corresponds to Apache Ambari management tool, where will be possible to select the

option “Create a Cluster” and follow all the steps defined by the “Install Wizard”. The principal decisions to

take are the next options:

1. Select the Hortonworks Data Platform version. In this case, the choice is Hortonworks Data

Platform 2.5.3.0 with the public repository.

2. The next step consists in define all the FQDN of each node who compose the cluster. One name

by line and with the option of manual register for the Ambari agents. Then the agents will be

registered against the server and the necessary checks will be made, to check than the process

ends correctly.

3. Finally it will be needed to select all the services to deploy in the cluster. They are:

HDFS

Yarn + MapReduce 2

Apache Hive

Kafka

2.4.5 Proteus Environment

2.4.5.1 Flink Hybrid Engine

First step is to download the official Flink Hybrid Engine DFKI repository on master node:

git clone https://github.com/proteus-h2020/proteus-engine.git

After that, it requires to be compiled and make and packaged:

cd flink

mvn clean package -DskipTests

Finally, on Build-Target folder, Hybrid Engine is installed

2.4.5.2 PEACH

Peach works over Redis database, so first of all Redis would be deployed in PEACH node:

wget http://download.redis.io/releases/redis-<your_version>.tar.gz

tar xzf redis-<your_version>.tar.gz

cd redis-<your_version>

Make

./src/redis-server

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1. Compile the project to obtain the executable scripts:

mvn install -DskipTests

2. Move to the target directory to launch the PeachServer:

cd peach-redis-server-dist/target/peach-redis-server-dist-*/

3. Launch Peach with the Redis backend. Notice that Redis must be up and running

./bin/peach-redis-server-app

2.4.5.3 SOLMA

In order to use SOLMA library, in every maven proyect it is needed to add attached code inside pom.xml

file:

<dependencies>

<dependency>

<groupId>eu.proteus</groupId>

<artifactId>proteus-solma_2.10</artifactId>

<version>0.1-SNAPSHOT</version>

<scope>compile</scope>

</dependency>

<dependency>

<groupId>org.apache.flink</groupId>

<artifactId>flink-clients_2.10</artifactId>

<version>1.4-SNAPSHOT</version>

<scope>compile</scope>

<exclusions>

<exclusion>

<groupId>log4j</groupId>

<artifactId>*</artifactId>

</exclusion>

<exclusion>

<groupId>org.slf4j</groupId>

<artifactId>slf4j-log4j12</artifactId>

</exclusion>

</exclusions>

</dependency>

</dependencies>

<build>

<plugins>

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<plugin>

<groupId>net.alchim31.maven</groupId>

<artifactId>scala-maven-plugin</artifactId>

<configuration>

<recompileMode>incremental</recompileMode>

</configuration>

<executions>

<execution>

<id>scala-compile-first</id>

<phase>process-resources</phase>

<goals>

<goal>add-source</goal>

<goal>compile</goal>

</goals>

</execution>

<execution>

<id>scala-test-compile</id>

<phase>process-test-resources</phase>

<goals>

<goal>add-source</goal>

<goal>testCompile</goal>

</goals>

</execution>

</executions>

</plugin>

<plugin>

<groupId>org.apache.maven.plugins</groupId>

<artifactId>maven-assembly-plugin</artifactId>

<version>2.4</version>

<configuration>

<descriptorRefs>

<descriptorRef>jar-with-dependencies</descriptorRef>

</descriptorRefs>

<archive>

<manifest>

<mainClass>solma.TestSolma</mainClass>

</manifest>

</archive>

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</configuration>

<executions>

<execution>

<phase>package</phase>

<goals>

<goal>single</goal>

</goals>

</execution>

</executions>

</plugin>

<plugin>

<groupId>org.apache.maven.plugins</groupId>

<artifactId>maven-dependency-plugin</artifactId>

<executions>

<execution>

<id>copy-dependencies</id>

<phase>package</phase>

<goals>

<goal>copy-dependencies</goal>

</goals>

<configuration>

<useBaseVersion>false</useBaseVersion>

</configuration>

</execution>

</executions>

</plugin>

</plugins>

</build>

2.4.6 Additional Storage System: Couchbase

Couchbase installation requires next steps:

1. Disable THP (Transparent Huge Pages). THP feature of the Linux kernel must be disabled on

systems running Couchbase Server. Transparent Huge Pages (THP) is a Linux OS feature that

conceals much of the complexity of using actual Huge Pages as well as automates the creation of

contiguous memory space. It is enabled by default in some Linux Operating systems, but not all.

2. Download official rmp package in all machines:

curl -O http://packages.couchbase.com/releases/couchbase-release/couchbase-release-1.0-2-x86_64.rpm

3. Install rpm package:

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sudo rpm -i couchbase-release-1.0-2-x86_64.rpm

sudo yum update

sudo yum install couchbase-server

4. After that, access via dashboard manage interface on port 8091 in master node.

5. Check in “Start new cluster”

6. In port 8091 for all slave nodes, select “join a cluster now” option. Select FQDN master node and

user name with password configured in that server.

2.4.7 Visual Analytics Infrastructure

The visual analytics platform is distributed as a standalone WAR file that contains both the front and back

ends of the web application alongside all its dependencies. It requires Java 1.7 and Apache Tomcat 7 and it

should be deployed by placing the WAR file in the webapps directory of the Tomcat 7 installation directory.

The application requires setting some configuration values before running in a production environment and it

is shipped with a default settings file that contains both the configuration values and its documentation. Its

location can be passed to the application by setting the SPRING_CONFIG_LOCATION environment

variable.

2.4.8 Setup Summary

The table provides a summary of the different technologies and versions used for the setup of the prototype:

Cluster

Hadoop Ecosystem under Hortonworks Data Platform

Hortonworks Data Platform 2.5.3.0

HDFS 2.7.3

NameNode Master

Secondary NameNode Slave 01

DataNode Master, Slave 01, Slave 02, Slave 03

NFSGateway Slave 01, Slave 02, Slave 03

YARN + MapReduce2 2.7.3

ResourceManager Master

App Timeline Server Master

NodeManagers Slave 01, Slave 02, Slave 03

YARN Clients Master, Slave 01, Slave 02, Slave 03

Tez 0.7.0

Client-only service

Hive 1.2.1

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Hive Metastore Slave 01

HiveServer 2 Slave 03

MySQL Server Slave 03

WebHCat Server Slave 03

Hive Clients Master, Slave 01, Slave 02, Slave 03

HCat Clients Master, Slave 01, Slave 02, Slave 03

Oozie 4.2.0

Oozie Server Slave 01

Oozie Clientes Slave 01, Slave 02, Slave 03

Zookeeper 3.4.6

Nodes Master, Slave 01, Slave 02, Slave 03

Ambari Infra + Ambari Metrics 0.1.0

Infra Solr Instance Master

Infra Solr Clients Master, Slave 01, Slave 02, Slave 03

Kafka 0.10.0

Kafka Brokers Master, Slave 01, Slave 02, Slave 03

External Services

Apache Flink - Hybrid Engine 1.0

PEACH 1.0

SOLMA 1.0

DLS Language 1.0

Couchbase 4.5.1-2844 Community Edition (build-2844)

Couchbase servers Slave01, slave02, slave03

Visual Analytics Infrastructure

Proteus Dashboard

PROTEIC.JS

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3 Validations & KPIs

3.1 KPI review

The identification of Key Performance Indicators (KPIs) within PROTEUS is an ongoing, iterative process

that commenced with the work in Deliverable 2.6. In D2.6 an initial set of KPIs were provided for measuring

the performance of any future PROTEUS solution, within the parameters in which the project had progressed

up to that point. At that stage three manufacturing/analysis processes representing defined PROTEUS

scenarios were presented, these being: data process; visualisation; and online learning. From these the

following KPIs were presented:

Data process:

the amount of data being processed

the number of data queries happening at any given time

the speed at which the data is normally processed determined by the workload

Visualization:

identification of defects/relevant variables

response time from interactive query like zoom

amount/percentages data is critical to detect the defects

Online learning:

improvement of defects detection

reduce defects

Following that initial step, and as the use-cases based on the needs of industry crystallised, these initial KPIs

have been revised and expanded as part of this deliverable to reflect the further development of the project

towards the first prototype.

In addition to the developments in relation to the scenario and technical specifications of the first prototype,

the project has also used interfaces with other projects to further develop the KPIs with respect to the two

missions of the PROTEUS impact assessment:

1. To identify the extent to which the PROTEUS solution provides added value for Arcelor Mittal

2. To identify improvements in large-scale, predictive analytics for machine learning more generally

Despite some notable efforts industry and academics broadly agree that big data analytics has yet to create

agreed, standard benchmarks [1]. Instead, benchmarks are focused on particular analytical tools (e.g.,

MapReduce [1] [2]) or in specific contexts (e.g., Internet services [3]). This makes it difficult to create

standardised benchmarks across different tools, scenarios and analytic contexts. Nevertheless, projects like

the EC-funded Holistic Benchmarking of Big Data, HOBBIT, project are using different case studies to

create benchmarks and KPIs for big data across different platforms. The benchmarks to be created by the

HOBBIT project fall within eight specific categories:

Data Storage Benchmark

Data Extraction Benchmark for unstructured data

Linking benchmark

Data analytics benchmark

Data Extraction Benchmark for Sensor Data

Faceted Browsing Benchmark

Versioning Benchmark

Question Answering Benchmark

The HOBBIT benchmarks are divided between different stages in the data value chain (e.g., data storage,

extraction, linking, etc.) and different analytic processes (browsing, question answering, etc.). Not all of

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these will be relevant to PROTEUS, however the delivery of the first version of these benchmarks in M18 of

the HOBBIT project will provide an opportunity for PROTEUS partners to review them in detail and work

with HOBBIT partners to identify the extent to which their benchmarks are useful for PROTEUS analytic

processes.

Furthermore, the current benchmarking activity has a dependency with the delivery of the first PROTEUS

prototype, and as such, a more comprehensive KPI and benchmark identification is premature, given the

need to evaluate the first prototype against the scenarios to understand more precisely what should be

measured, what the measurement tool might be and what the targets should be. Nevertheless, this chapter

represents the development, to date, of the project’s consideration of potential useful KPIs and benchmarks

for the use case scenario and for the broader improvements in data analytics to be evaluated within

PROTEUS. In this deliverable, given the industrial scenario and technical specifications presented, the KPIs

have be divided into three main categories, i.e., KPIs for end-user industrial partner, KPIs for data analysis

and visualisation, and KPIs for data platform. This deliverable only includes KPIs that are relevant for the

first prototype.

3.2 Use case evaluation

Use case information presented above indicates some KPIs that would be useful for evaluating the added

value in efficiency and defective coil detection for AMIII provided by PROTEUS. The prototype addresses

initial uses cases that would allow end users to react to defective coils.

Use-Case One Use-Case Two

Problem: Tension of a coil increasing leads to

breakage of the coil strip

Problem: When speed tension exceeds a certain

threshold, this implies a flatness issue

First prototype solution: Provide predictive

actions through triggering an alarm

First prototype solution: Provide predictive

actions through triggering an alarm

Operator Response: Open the stands with the

rollers

Operator Response: Stop the rolling process or

automatically downgrade the quality of the coil

With respect to these two particular use cases, the project is currently considering the following KPIs. The

scenario-related KPIs are divided between KPIs directly related to defective coil detection and KPIs related

to process improvements for AMIII:

3.2.1 Defective coil detection KPIs

Temperature: number of alerts triggered whereby the temperature exceeds a pre-identified “normal

functioning” range – specifically where temperature exceeds Mean + Deviation or Mean - Deviation.

Roller tension: number of alerts triggered whereby the roller tension exceeds a pre-identified “normal

functioning” range – specifically where tension exceeds Mean + Deviation or Mean - Deviation.

Rejection ratios: ratio of coils at high original requisite [high] quality standards vs. coils downgraded yet

acceptable for lower quality uses [defective yet usable]; ratio of coils at high original requisite [high] quality

standards vs. coils that cannot be re-tasked for lower quality uses [defective and unusable]; ratio of coils

downgraded yet acceptable for lower quality uses [defective yet usable] vs. coils that cannot be re-tasked for

lower quality uses [defective and unusable]

These KPIs will enable the project to evaluate how well the prototype is functioning at identifying defective

coils given the production sensor parameters (e.g., deviations from the agreed mean range in relation to

temperature or roller tension) during the production process. It will also enable a baseline measurement of

the functioning of the first prototype in relation to the rejection ratios. This will allow both an identification

of improvements in later versions of the PROTEUS solution and provide data to enable the project to

measure some of the process improvement KPIs presented below.

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3.2.2 Process improvement KPIs

Number of false alarms emitted per measurement variable: incorporating both false-positives and false-

negatives from alarms within the Hot Strip Mill monitoring processes during the coil production (i.e., sensor

results for temperature, roller tension, lamination, flatness, etc.).

Refresh time: time required for the system to refresh once new data (coils) are received.

Detection target for defective coils: accuracy of flatness prediction of current/future/past coil based on the

error rates.

Detection time: elapsed time from the point of production commencement to the point whereby the product

is characterised as defective.

Response time: elapsed time from the point whereby a product is characterised as defective to the point

whereby production of subsequent [defective] coils is stopped.

Reassignment time: elapsed time from the point whereby a product is characterised as defective to the point

whereby produced coils are reassigned to other uses.

Downtime: the result of a breakdown or simply a machine changeover, downtime is considered one of the

most important KPI metrics to track. When machines are not operating, money is not being made so reducing

downtime is an easy way to increase profitability. Organizations that track downtime typically require

operators to enter a “reason code” via keypad, pushbutton or bar code scanner so that the most common

reasons can be reviewed at a later time

Material utilisation rates: For mass production or products with very expensive materials used, like sheet

metals with special coatings, the material utilization becomes a relevant KPI for the production processes.

Production rate: Machines and processes produce goods at variable rates. When speeds differ, slow rates

typically result in dropped profits while faster speeds affect quality control.

Economic loss: loss of revenue; amount of waste; reduction in revenue arising from quality downgrading of

defective coils; compensation due to reassignment of defective coils; material costs; wage costs; equipment

costs, etc. This will be estimated using current AMIII loss figures and the reduction in waste that could be

achieved given the increase in detection of defective coils.

Reduction in process costs: reduction is process costs resulting from reduction in amounts of waste; decrease

in number of downgraded coils. This will be measured using current AMIII cost figures, reductions based on

early detection of defective coils and changes in down time for the production line.

Target: Display target values for output, rate and quality – used to motivate employees to meet specific

performance targets

Each of these KPIs will demonstrate for AMIII and also potential additional users how the PROTEUS

solution can provide added value via efficiency and resource reduction within the production process. These

KPIs will allow a demonstration of where tools like PROTEUS provide added value, where they need to be

further improved and how they might generate value for potential, additional customers as part of the

production of data for the exploitation work within the project.

3.3 KPIs for AMIII data analysis, visualisation and

visual analytics platform

The next set of KPIs are focused on the intersection between the data analytics and the scenario / use case

requirements presented in Sections 1 and 2 above.

3.3.1 Data extraction-related KPIs

Data quality: As measured by the number or percentage of missing data/null values, outlier values, and other

abnormal values. These should be logged as this could affect the estimation of the mean and variance as well

as highlighting this in the data interpretation as a potential bias. Data quality for Time series, HSM, Flatness

(missing data/null rate, outlier rate). The benchmarks relevant to this KPI may be extracted from the

HOBBIT Data Extraction (unstructured data) and Data Extraction from Sensors benchmarks.

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Validation of data relevant to flatness: (Identify the most relevant variables, features, patterns, trends, and

characteristic)

Database connectivity: ability to access and query historical data stored on the CouchBase server. Ability to

connect to other databases.

Processing data: Batch layer (processing historical data, retrieve all data needed for model improvement) and

speed layer (processing data in real-time). This is for validating the technical concept of using a batch and a

speed layer.

Data transfer: from CouchBase cluster to Visual Analytics Platform

3.3.2 Data analysis-related KPIs

Online average and variance calculation (representing "safety zone"): Here, the accuracy of the estimation is

an important factor. This KPI will measure the mean and variance tracking based on forgetting factors, i.e.,

how much history will be using for the estimation of mean and variance. Also, as an increase or decrease in

mean/variance can have different consequences. Another factor could be to look at the tracking performance

as the mean/variance increase (attack time) or when the mean/variance decreases (release time). Online

average and variance calculation (representing "safety zone")

Accuracy of flatness: Accuracy of the prediction models based on real-time variables such as tension and

temperature and the flatness of previous coils.

Speed and accuracy of model parameter update: Accuracy of the online learning based on real flatness values

and automated feedback from the system.

3.3.3 Data visualization-related KPIs

Data visualization response time: Measurement of the time from making queries to receiving visual

information from the system. This could include various scenarios that: e.g., validates the data throughput or

the database design; handling of stream data with different sampling rate. The HOBBIT Question answering

benchmark may provide a useful guide here.

3.3.4 KPIs relevant to the PROTEUS specific components

Data Storage:

HDFS fault tolerance

HDFS throughput performance

Read/write speed for request

Apache Kafka (data ingestion) KPIs:

Rate of data ingestion and data throughput

Fault-tolerance

o Out-of-order data rates

o Late-arriving data

Load balancing

Read/write speed and size of messages

Latency time

CouchBase (data storage) KPIs:

Map/reduce data retrieval performance

Latency time

Latency variance against changes in workloads

Apache Hive (data exploitation) KPIs:

Latency time

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Read/write speed and size of distributed datasets

Speed of response to queries

Apache Flink (core platform) KPIs:

Latency and throughput

Fault-tolerance

o Out-of-order data rates

o Late-arriving data

Latency variance against changes in workloads

PROTEUS Hybrid engine KPIs:

Hybrid performance vs non-hybrid performance

Fault-tolerance of assimilation of streamed data and batch processed historic data

Lara:

Parallelisation performance vs. serial performance

PEACH:

Low latency responses and fault-tolerance capabilities

Fault-tolerance

Each of these KPIs will enable the project to evaluate how well the technical elements of the PROTEUS

solution are functioning, for example how well the data extraction mechanisms are functioning, how well the

online learning algorithms are functioning and the extent to which they are fit for purpose, etc. It will also

enable the project to evaluate the extent to which the components of the system are functioning adequately

and are fit for purpose. These measurements will enable the project to demonstrate improvements in the

functioning of each iteration of the PROTEUS solution as the project develops. This will demonstrate added

value for AMIII as well as demonstrate the progress in data analytics within the industrial scenario. Further

KPIs will be added as the project progresses – for example KPIs related to end users’ evaluation of the

visualisation tool, based on the development of the solution and the project overall.

3.4 Big data KPIs

The final set of KPIs will enable PROTEUS to demonstrate that the project solution represents

improvements in data analytics in general. This is the most challenging part of the development of the KPIs

because of the relative immaturity of the field. However, as noted above, the project will create links with

other projects and initiatives in order to identify KPIs and benchmarks relevant to big data processes across

contexts and tools. These KPIs will include indicators of system performance and the extent to which the

tools can handle large, fast moving heterogeneous data.

Volume (data at rest): Volume of data able to be processed with the PROTEUS toolset within a specified

period of time.

Velocity (data in motion): Refers to how quickly streaming data is able to be produced and how fast the data

must be processed to meet the need or demand. Measured in milliseconds to seconds in relation to particular

data volumes.

Veracity (data in doubt): This refers to uncertainty due to data inconsistency and incompleteness,

ambiguities, latency, deception, model approximations, accuracy, quality, truthfulness or trustworthiness.

The data extraction related KPIs will enable the project to measure this and brainstorm ways to further

improve this metric.

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Variety: Ability to analyse both batch and streaming data together and produce visualization tools adequately

representing the variety of data relevant to the decision-making process. The HOBBIT Linking benchmark

may be a valuable resource to set a KPI for this.

Uptime: Availability of services, resources and computing environment in real time. PROTEUS intends to

maximise this figure and produce improvements during each iteration of the system.

Bandwidth: Available bandwidth for transmission of data. This will be measured using a ratio of bandwidth

available to volume of data processed.

Performance and capacity: elimination of bottlenecks, tuned applications, and sufficient memory.

Value (data for co-creation and deep learning): Identification of high-value data for the processing,

assessment of the relative importance of different complex data from distributed locations and optimisation

of the data processing with this information. Big data with deep analytics means greater insight and better

decisions, something that every organization needs.

Taken together, these KPIs will enable the consortium to consider the extent to which PRTOEUS represents

progress beyond the state of the art with respect to data analytics capabilities more generally. These KPIs

specifically focus on the characteristics that define big data, including volume, variety, velocity, veracity,

etc. which will provide an indication of how well the PROTEUS solution represents value in large scale

predictive analytics, assuming there are appropriate and sufficient examples against which PROTEUS can be

evaluated. Barring that, these KPIs will be used to measure progress with respect to the PROTEUS solution

during the course of the project and to act as an exemplar of KPIs and benchmarks that could be used to

measure subsequent solutions. As such, this activity will enable project partners to participate in and feed

directly into standard setting in big data space more generally.

3.5 Summary

This section has provided a snapshot illustration of the consortium’s current consideration of KPIs and

benchmarks that will be used in the impact assessment for PROTEUS given the development stage of the

project and the solution. Specifically, the snapshot represents a space where the first prototype is being

finalised, but before it has been made available for demonstration and analysis within the consortium. As

such, the KPIs should be considered a second-generation of potentially relevant KPIs rather than a final list

of variables to be measured. Nevertheless, the KPIs outlined here are a significant step in providing material

that the consortium should agree on in measuring, assessing and validating the contribution made by the

PROTEUS project and the PROTEUS solution in developing big data capacity within European industry and

in Europe more generally. The consortium will continue to evaluate and finalize the list of KPIs both

immediately after the release of the first prototype and also as the project develops into its second period.

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4 Conclusions

The current deliverable has detailed the software implementation and setup of the first prototype in

PROTEUS that has been developed to cover the objectives pursued by different ArcelorMittal use cases.

These use cases are devoted to cover some alarming issues and pattern discovery aiming to detect and

understand the appearance of flatness defects.

In line with the original objectives, this prototype has focused on bringing together, integrating and testing

all of the technology components as available by PROTEUS at the current time, especially including the

Flink-based hybrid engine and a number of features provided by SOLMA (our Scalable Online Machine

Learning library), but even also adding some visualisation features in the form of a user-oriented dashboard

(not originally planned for this prototype).

Besides integrating the technology components produced by PROTEUS as a result of the research WPs

(WP3, WP4 and WP5), the work performed in this task and documented in this deliverable also included the

implementation of specific components that are required for the recreation of the operational environment,

following the actual data production workflow and timeline, as a simulation of the actual production

environment in the industrial context (i.e. in the form of configurable data producers, tailored to the specific

performance of the real scenario).

Finally, some Key Performance Indicators (KPIs) have been defined as the ways to measure to what extent

the objectives, both business and technical objectives, have been guaranteed and fulfilled with the current

technology.

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5 References

[1] Han, R. and Lu, X. On big data benchmarking. in Big Data Benchmarks, Performance Optimization,

and Emerging Hardware SE - 1, vol. 8807, J. Zhan, R. Han, and C. Weng, Eds. Springer

International Publishing, 2014, pp. 3–18.

[2] Chen, Y. Alspaugh, S. and Katz, R. 2012. Interactive analytical processing in big data streams: A

cross-industry study of MapReduce workloads. Proceedings of the VLDB endowment.

[3] Wang, L., Zhan, J., Luo, C., Zhu, Y., et al. 2014. Bigdatabench: A big data benchmarking suite from

Internet services. IEEE International Symposium On High Performance Computer Architecture

(HPCA-2014), February 15-19, 2014, Orlando, Florida, USA

[4] Behrens, B.A. and Lau, P., 2008. Key performance indicators for sheet metal forming processes.

Production Engineering, 2(1), pp.73-78.

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Annex A Coil data formats for streaming data

A.1 Variables measured on 1 Dimension

Field Type

Position X Double

Coil Identifier Integer

Variable String

Value Double

timeStamp String

A.2 Variables measured on 2 Dimensions

Field Type

PositionX Double

PositionY Double

Coil Identifier Integer

Variable String

Value Double

timeStamp String

A.3 HSM data

Variable Name Variable type Variable Name Variable type Variable Name Variable type

V01 factor V2498 double V4995 double

V02 double V2499 double V4996 double

V03 double V2500 double V4997 double

V04 double V2501 double V4998 double

V05 double V2502 double V4999 double

V06 double V2503 double V5000 factor

V07 double V2504 double V5001 factor

V08 factor V2505 double V5002 double

V09 double V2506 double V5003 double

V010 double V2507 double V5004 double

V011 double V2508 double V5005 double

V012 double V2509 double V5006 double

V013 double V2510 double V5007 factor

V014 double V2511 double V5008 factor

V015 double V2512 double V5009 factor

V016 double V2513 double V5010 factor

V017 factor V2514 double V5011 factor

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V018 factor V2515 double V5012 double

V019 factor V2516 double V5013 double

V020 factor V2517 double V5014 double

V021 factor V2518 double V5015 double

V022 factor V2519 double V5016 double

V023 factor V2520 double V5017 double

V024 factor V2521 double V5018 factor

V025 double V2522 double V5019 factor

V026 double V2523 factor V5020 factor

V027 double V2524 factor V5021 double

V028 double V2525 factor V5022 double

V029 double V2526 factor V5023 factor

V030 double V2527 factor V5024 factor

V031 double V2528 factor V5025 factor

V032 double V2529 factor V5026 factor

V033 double V2530 factor V5027 factor

V034 double V2531 double V5028 factor

V035 double V2532 double V5029 factor

V036 double V2533 double V5030 factor

V037 double V2534 factor V5031 factor

V038 double V2535 factor V5032 factor

V039 double V2536 factor V5033 factor

V040 double V2537 factor V5034 factor

V041 double V2538 factor V5035 factor

V042 double V2539 factor V5036 factor

V043 double V2540 factor V5037 double

V044 double V2541 double V5038 double

V045 double V2542 double V5039 double

V046 double V2543 double V5040 factor

V047 double V2544 double V5041 factor

V048 double V2545 double V5042 factor

V049 double V2546 double V5043 factor

V050 double V2547 double V5044 factor

V051 double V2548 double V5045 factor

V052 double V2549 double V5046 factor

V053 double V2550 double V5047 factor

V054 double V2551 double V5048 double

V055 double V2552 double V5049 double

V056 double V2553 double V5050 double

V057 double V2554 double V5051 factor

V058 double V2555 factor V5052 factor

V059 double V2556 factor V5053 factor

V060 double V2557 factor V5054 factor

V061 double V2558 factor V5055 factor

V062 double V2559 double V5056 factor

V063 double V2560 double V5057 factor

V064 double V2561 double V5058 factor

V065 double V2562 double V5059 factor

V066 double V2563 double V5060 factor

V067 double V2564 double V5061 double

V068 double V2565 factor V5062 factor

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V069 double V2566 double V5063 factor

V070 double V2567 double V5064 factor

V071 double V2568 double V5065 factor

V072 double V2569 double V5066 factor

V073 double V2570 double V5067 factor

V074 double V2571 double V5068 factor

V075 double V2572 factor V5069 factor

V076 double V2573 factor V5070 double

V077 double V2574 factor V5071 factor

V078 double V2575 factor V5072 factor

V079 double V2576 factor V5073 factor

V080 double V2577 factor V5074 factor

V081 double V2578 factor V5075 factor

V082 double V2579 factor V5076 factor

V083 double V2580 factor V5077 factor

V084 double V2581 factor V5078 factor

V085 double V2582 factor V5079 factor

V086 double V2583 factor V5080 factor

V087 double V2584 factor V5081 factor

V088 double V2585 factor V5082 factor

V089 double V2586 factor V5083 factor

V090 double V2587 factor V5084 factor

V091 double V2588 factor V5085 factor

V092 double V2589 factor V5086 factor

V093 double V2590 factor V5087 factor

V094 double V2591 factor V5088 factor

V095 double V2592 factor V5089 factor

V096 factor V2593 factor V5090 factor

V097 factor V2594 factor V5091 factor

V098 factor V2595 factor V5092 factor

V099 factor V2596 factor V5093 factor

V0100 double V2597 factor V5094 factor

V0101 double V2598 factor V5095 factor

V0102 double V2599 factor V5096 factor

V0103 double V2600 factor V5097 date

V0104 double V2601 factor V5098 date

V0105 double V2602 factor V5099 date

V0106 double V2603 factor V5100 date

V0107 double V2604 factor V5101 date

V0108 double V2605 factor V5102 date

V0109 double V2606 factor V5103 date

V0110 double V2607 double V5104 date

V0111 double V2608 factor V5105 date

V0112 double V2609 factor V5106 date

V0113 double V2610 factor V5107 date

V0114 double V2611 factor V5108 date

V0115 double V2612 factor V5109 date

V0116 double V2613 factor V5110 date

V0117 double V2614 factor V5111 date

V0118 factor V2615 factor V5112 date

V0119 double V2616 factor V5113 date

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V0120 double V2617 factor V5114 double

V0121 double V2618 factor V5115 double

V0122 double V2619 factor V5116 double

V0123 factor V2620 factor V5117 double

V0124 double V2621 factor V5118 double

V0125 double V2622 factor V5119 double

V0126 double V2623 factor V5120 double

V0127 double V2624 factor V5121 double

V0128 double V2625 factor V5122 double

V0129 double V2626 factor V5123 double

V0130 double V2627 factor V5124 double

V0131 double V2628 factor V5125 double

V0132 double V2629 factor V5126 double

V0133 double V2630 factor V5127 double

V0134 double V2631 factor V5128 double

V0135 double V2632 factor V5129 double

V0136 double V2633 factor V5130 double

V0137 double V2634 factor V5131 double

V0138 double V2635 factor V5132 double

V0139 double V2636 factor V5133 double

V0140 double V2637 factor V5134 double

V0141 double V2638 factor V5135 double

V0142 double V2639 factor V5136 double

V0143 double V2640 factor V5137 double

V0144 double V2641 factor V5138 double

V0145 double V2642 factor V5139 double

V0146 double V2643 factor V5140 double

V0147 double V2644 factor V5141 double

V0148 double V2645 factor V5142 double

V0149 double V2646 factor V5143 double

V0150 double V2647 factor V5144 double

V0151 double V2648 factor V5145 double

V0152 double V2649 factor V5146 double

V0153 double V2650 factor V5147 double

V0154 double V2651 factor V5148 double

V0155 double V2652 factor V5149 double

V0156 double V2653 factor V5150 double

V0157 double V2654 factor V5151 double

V0158 double V2655 factor V5152 double

V0159 double V2656 factor V5153 double

V0160 double V2657 factor V5154 double

V0161 double V2658 factor V5155 double

V0162 double V2659 factor V5156 double

V0163 double V2660 factor V5157 double

V0164 double V2661 factor V5158 double

V0165 double V2662 factor V5159 double

V0166 double V2663 factor V5160 double

V0167 double V2664 double V5161 double

V0168 double V2665 double V5162 double

V0169 double V2666 double V5163 double

V0170 factor V2667 double V5164 double

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V0171 double V2668 double V5165 double

V0172 double V2669 double V5166 double

V0173 factor V2670 double V5167 double

V0174 factor V2671 factor V5168 double

V0175 factor V2672 factor V5169 double

V0176 factor V2673 factor V5170 double

V0177 factor V2674 factor V5171 double

V0178 factor V2675 factor V5172 double

V0179 double V2676 factor V5173 double

V0180 double V2677 factor V5174 double

V0181 double V2678 factor V5175 double

V0182 double V2679 factor V5176 double

V0183 factor V2680 factor V5177 double

V0184 factor V2681 factor V5178 double

V0185 factor V2682 factor V5179 double

V0186 factor V2683 factor V5180 double

V0187 double V2684 factor V5181 double

V0188 double V2685 factor V5182 double

V0189 double V2686 factor V5183 double

V0190 double V2687 factor V5184 double

V0191 factor V2688 factor V5185 double

V0192 date V2689 factor V5186 double

V0193 date V2690 factor V5187 double

V0194 factor V2691 factor V5188 double

V0195 factor V2692 factor V5189 double

V0196 factor V2693 factor V5190 double

V0197 factor V2694 double V5191 double

V0198 factor V2695 double V5192 double

V0199 factor V2696 double V5193 double

V0200 factor V2697 double V5194 double

V0201 factor V2698 double V5195 double

V0202 factor V2699 double V5196 double

V0203 factor V2700 double V5197 double

V0204 factor V2701 double V5198 double

V0205 double V2702 double V5199 double

V0206 double V2703 double V5200 double

V0207 double V2704 double V5201 double

V0208 double V2705 double V5202 double

V0209 double V2706 double V5203 double

V0210 double V2707 double V5204 double

V0211 double V2708 double V5205 double

V0212 double V2709 double V5206 double

V0213 double V2710 double V5207 double

V0214 double V2711 double V5208 double

V0215 double V2712 double V5209 double

V0216 double V2713 double V5210 double

V0217 double V2714 double V5211 double

V0218 double V2715 double V5212 double

V0219 double V2716 double V5213 double

V0220 double V2717 double V5214 double

V0221 double V2718 double V5215 double

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V0222 double V2719 double V5216 double

V0223 double V2720 double V5217 double

V0224 double V2721 double V5218 double

V0225 double V2722 double V5219 double

V0226 double V2723 double V5220 double

V0227 double V2724 double V5221 double

V0228 double V2725 factor V5222 double

V0229 double V2726 double V5223 double

V0230 double V2727 double V5224 double

V0231 double V2728 double V5225 double

V0232 double V2729 double V5226 double

V0233 double V2730 double V5227 double

V0234 double V2731 double V5228 double

V0235 double V2732 double V5229 double

V0236 double V2733 factor V5230 double

V0237 double V2734 factor V5231 double

V0238 double V2735 factor V5232 double

V0239 double V2736 factor V5233 double

V0240 double V2737 factor V5234 double

V0241 double V2738 factor V5235 double

V0242 double V2739 factor V5236 double

V0243 double V2740 factor V5237 double

V0244 double V2741 double V5238 double

V0245 double V2742 factor V5239 double

V0246 double V2743 factor V5240 double

V0247 double V2744 factor V5241 double

V0248 double V2745 factor V5242 double

V0249 double V2746 factor V5243 double

V0250 double V2747 factor V5244 double

V0251 double V2748 factor V5245 double

V0252 double V2749 factor V5246 double

V0253 double V2750 factor V5247 double

V0254 double V2751 factor V5248 double

V0255 double V2752 factor V5249 double

V0256 double V2753 factor V5250 double

V0257 double V2754 factor V5251 double

V0258 double V2755 factor V5252 double

V0259 double V2756 factor V5253 double

V0260 double V2757 factor V5254 double

V0261 double V2758 factor V5255 double

V0262 double V2759 factor V5256 double

V0263 double V2760 factor V5257 double

V0264 double V2761 factor V5258 double

V0265 double V2762 factor V5259 double

V0266 double V2763 factor V5260 double

V0267 double V2764 factor V5261 double

V0268 double V2765 factor V5262 double

V0269 double V2766 factor V5263 double

V0270 double V2767 factor V5264 double

V0271 double V2768 factor V5265 double

V0272 double V2769 factor V5266 double

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V0273 double V2770 factor V5267 double

V0274 double V2771 factor V5268 double

V0275 double V2772 factor V5269 double

V0276 double V2773 factor V5270 double

V0277 double V2774 factor V5271 double

V0278 double V2775 factor V5272 double

V0279 double V2776 factor V5273 double

V0280 double V2777 double V5274 double

V0281 double V2778 double V5275 double

V0282 double V2779 double V5276 double

V0283 double V2780 factor V5277 double

V0284 double V2781 double V5278 double

V0285 double V2782 double V5279 double

V0286 double V2783 double V5280 double

V0287 double V2784 double V5281 double

V0288 double V2785 double V5282 double

V0289 double V2786 double V5283 double

V0290 double V2787 double V5284 double

V0291 double V2788 factor V5285 double

V0292 double V2789 factor V5286 double

V0293 factor V2790 factor V5287 double

V0294 factor V2791 factor V5288 double

V0295 factor V2792 factor V5289 double

V0296 double V2793 factor V5290 double

V0297 double V2794 factor V5291 double

V0298 double V2795 factor V5292 double

V0299 double V2796 double V5293 double

V0300 double V2797 double V5294 double

V0301 double V2798 double V5295 double

V0302 double V2799 double V5296 double

V0303 double V2800 factor V5297 double

V0304 factor V2801 factor V5298 double

V0305 factor V2802 factor V5299 double

V0306 double V2803 factor V5300 double

V0307 double V2804 factor V5301 double

V0308 double V2805 factor V5302 double

V0309 double V2806 factor V5303 double

V0310 double V2807 factor V5304 double

V0311 double V2808 factor V5305 double

V0312 double V2809 double V5306 double

V0313 factor V2810 double V5307 double

V0314 double V2811 double V5308 factor

V0315 double V2812 double V5309 factor

V0316 double V2813 double V5310 factor

V0317 double V2814 double V5311 double

V0318 factor V2815 double V5312 double

V0319 factor V2816 double V5313 factor

V0320 factor V2817 double V5314 factor

V0321 double V2818 double V5315 factor

V0322 factor V2819 double V5316 factor

V0323 double V2820 double V5317 factor

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V0324 double V2821 double V5318 factor

V0325 double V2822 double V5319 factor

V0326 factor V2823 double V5320 factor

V0327 double V2824 double V5321 factor

V0328 date V2825 double V5322 factor

V0329 double V2826 double V5323 factor

V0330 factor V2827 double V5324 double

V0331 factor V2828 factor V5325 factor

V0332 factor V2829 factor V5326 factor

V0333 factor V2830 factor V5327 factor

V0334 factor V2831 factor V5328 factor

V0335 factor V2832 double V5329 factor

V0336 factor V2833 factor V5330 factor

V0337 factor V2834 double V5331 factor

V0338 factor V2835 double V5332 factor

V0339 factor V2836 factor V5333 factor

V0340 factor V2837 factor V5334 factor

V0341 factor V2838 factor V5335 factor

V0342 factor V2839 factor V5336 factor

V0343 factor V2840 double V5337 factor

V0344 factor V2841 double V5338 factor

V0345 factor V2842 factor V5339 factor

V0346 factor V2843 double V5340 factor

V0347 factor V2844 double V5341 factor

V0348 factor V2845 double V5342 factor

V0349 double V2846 double V5343 factor

V0350 double V2847 double V5344 factor

V0351 double V2848 double V5345 factor

V0352 double V2849 double V5346 double

V0353 double V2850 double V5347 double

V0354 double V2851 double V5348 double

V0355 double V2852 double V5349 double

V0356 double V2853 double V5350 double

V0357 double V2854 double V5351 double

V0358 double V2855 double V5352 factor

V0359 factor V2856 double V5353 factor

V0360 factor V2857 double V5354 factor

V0361 factor V2858 double V5355 factor

V0362 factor V2859 double V5356 double

V0363 factor V2860 double V5357 double

V0364 factor V2861 double V5358 double

V0365 factor V2862 factor V5359 double

V0366 factor V2863 factor V5360 double

V0367 factor V2864 factor V5361 double

V0368 factor V2865 factor V5362 double

V0369 factor V2866 factor V5363 double

V0370 factor V2867 factor V5364 double

V0371 factor V2868 factor V5365 double

V0372 factor V2869 factor V5366 double

V0373 factor V2870 double V5367 double

V0374 factor V2871 double V5368 factor

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V0375 factor V2872 double V5369 double

V0376 factor V2873 double V5370 double

V0377 factor V2874 double V5371 double

V0378 factor V2875 double V5372 double

V0379 factor V2876 double V5373 double

V0380 factor V2877 double V5374 double

V0381 factor V2878 double V5375 double

V0382 factor V2879 double V5376 double

V0383 factor V2880 double V5377 double

V0384 factor V2881 double V5378 double

V0385 factor V2882 double V5379 double

V0386 factor V2883 double V5380 double

V0387 double V2884 double V5381 double

V0388 double V2885 double V5382 double

V0389 double V2886 double V5383 double

V0390 double V2887 double V5384 double

V0391 double V2888 double V5385 double

V0392 double V2889 double V5386 double

V0393 factor V2890 double V5387 double

V0394 double V2891 double V5388 double

V0395 double V2892 factor V5389 double

V0396 double V2893 factor V5390 double

V0397 double V2894 factor V5391 double

V0398 factor V2895 factor V5392 factor

V0399 factor V2896 double V5393 factor

V0400 factor V2897 double V5394 factor

V0401 factor V2898 double V5395 factor

V0402 factor V2899 double V5396 factor

V0403 factor V2900 double V5397 factor

V0404 factor V2901 double V5398 factor

V0405 double V2902 double V5399 double

V0406 double V2903 double V5400 double

V0407 double V2904 double V5401 double

V0408 factor V2905 double V5402 double

V0409 factor V2906 double V5403 double

V0410 factor V2907 double V5404 double

V0411 factor V2908 factor V5405 double

V0412 factor V2909 factor V5406 double

V0413 factor V2910 double V5407 double

V0414 double V2911 double V5408 double

V0415 double V2912 double V5409 double

V0416 double V2913 double V5410 double

V0417 double V2914 double V5411 double

V0418 double V2915 double V5412 double

V0419 double V2916 double V5413 double

V0420 double V2917 double V5414 double

V0421 factor V2918 double V5415 double

V0422 factor V2919 double V5416 double

V0423 factor V2920 double V5417 double

V0424 factor V2921 double V5418 double

V0425 factor V2922 double V5419 double

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V0426 factor V2923 double V5420 double

V0427 factor V2924 double V5421 double

V0428 factor V2925 double V5422 double

V0429 factor V2926 double V5423 factor

V0430 factor V2927 double V5424 factor

V0431 factor V2928 double V5425 factor

V0432 factor V2929 double V5426 factor

V0433 factor V2930 double V5427 double

V0434 factor V2931 double V5428 double

V0435 factor V2932 double V5429 double

V0436 factor V2933 double V5430 double

V0437 factor V2934 double V5431 double

V0438 factor V2935 double V5432 double

V0439 factor V2936 double V5433 double

V0440 factor V2937 double V5434 double

V0441 factor V2938 double V5435 factor

V0442 factor V2939 double V5436 factor

V0443 factor V2940 double V5437 double

V0444 factor V2941 double V5438 double

V0445 factor V2942 double V5439 double

V0446 factor V2943 double V5440 factor

V0447 factor V2944 double V5441 double

V0448 factor V2945 double V5442 double

V0449 factor V2946 double V5443 double

V0450 factor V2947 double V5444 double

V0451 factor V2948 double V5445 double

V0452 factor V2949 factor V5446 double

V0453 factor V2950 double V5447 double

V0454 factor V2951 double V5448 double

V0455 factor V2952 double V5449 double

V0456 factor V2953 double V5450 double

V0457 factor V2954 double V5451 double

V0458 factor V2955 double V5452 double

V0459 factor V2956 double V5453 double

V0460 factor V2957 double V5454 double

V0461 factor V2958 double V5455 double

V0462 factor V2959 double V5456 double

V0463 factor V2960 double V5457 double

V0464 factor V2961 double V5458 double

V0465 factor V2962 double V5459 factor

V0466 factor V2963 double V5460 factor

V0467 factor V2964 double V5461 factor

V0468 factor V2965 double V5462 factor

V0469 factor V2966 factor V5463 double

V0470 factor V2967 factor V5464 double

V0471 factor V2968 double V5465 double

V0472 factor V2969 double V5466 double

V0473 factor V2970 double V5467 date

V0474 factor V2971 double V5468 date

V0475 factor V2972 double V5469 date

V0476 factor V2973 double V5470 date

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V0477 factor V2974 double V5471 date

V0478 factor V2975 double V5472 date

V0479 factor V2976 double V5473 date

V0480 factor V2977 double V5474 date

V0481 factor V2978 double V5475 date

V0482 factor V2979 double V5476 date

V0483 factor V2980 double V5477 date

V0484 factor V2981 factor V5478 date

V0485 factor V2982 factor V5479 date

V0486 factor V2983 double V5480 date

V0487 factor V2984 double V5481 date

V0488 factor V2985 double V5482 date

V0489 factor V2986 double V5483 date

V0490 double V2987 double V5484 date

V0491 double V2988 factor V5485 factor

V0492 double V2989 double V5486 double

V0493 double V2990 double V5487 double

V0494 double V2991 double V5488 double

V0495 double V2992 double V5489 double

V0496 double V2993 double V5490 double

V0497 double V2994 double V5491 double

V0498 double V2995 double V5492 double

V0499 double V2996 double V5493 double

V0500 double V2997 double V5494 double

V0501 double V2998 double V5495 double

V0502 double V2999 double V5496 factor

V0503 double V3000 double V5497 factor

V0504 double V3001 double V5498 factor

V0505 double V3002 double V5499 factor

V0506 double V3003 double V5500 factor

V0507 double V3004 double V5501 factor

V0508 double V3005 double V5502 factor

V0509 double V3006 double V5503 factor

V0510 double V3007 factor V5504 factor

V0511 double V3008 factor V5505 double

V0512 double V3009 factor V5506 factor

V0513 double V3010 factor V5507 factor

V0514 double V3011 factor V5508 factor

V0515 double V3012 factor V5509 factor

V0516 double V3013 factor V5510 factor

V0517 double V3014 factor V5511 factor

V0518 double V3015 double V5512 factor

V0519 double V3016 double V5513 factor

V0520 double V3017 double V5514 factor

V0521 double V3018 double V5515 factor

V0522 double V3019 factor V5516 factor

V0523 double V3020 factor V5517 double

V0524 double V3021 factor V5518 double

V0525 double V3022 factor V5519 double

V0526 double V3023 double V5520 factor

V0527 double V3024 double V5521 factor

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V0528 double V3025 double V5522 factor

V0529 double V3026 double V5523 factor

V0530 double V3027 double V5524 factor

V0531 double V3028 double V5525 factor

V0532 factor V3029 double V5526 factor

V0533 factor V3030 double V5527 factor

V0534 factor V3031 double V5528 factor

V0535 factor V3032 double V5529 factor

V0536 factor V3033 double V5530 factor

V0537 factor V3034 double V5531 factor

V0538 factor V3035 double V5532 factor

V0539 factor V3036 double V5533 double

V0540 factor V3037 double V5534 factor

V0541 factor V3038 double V5535 factor

V0542 factor V3039 double V5536 double

V0543 factor V3040 double V5537 double

V0544 factor V3041 double V5538 double

V0545 factor V3042 double V5539 factor

V0546 factor V3043 double V5540 factor

V0547 factor V3044 double V5541 double

V0548 factor V3045 double V5542 double

V0549 factor V3046 double V5543 double

V0550 factor V3047 double V5544 double

V0551 factor V3048 double V5545 double

V0552 factor V3049 double V5546 double

V0553 double V3050 double V5547 double

V0554 factor V3051 double V5548 double

V0555 factor V3052 double V5549 double

V0556 factor V3053 double V5550 double

V0557 factor V3054 double V5551 double

V0558 factor V3055 double V5552 double

V0559 factor V3056 double V5553 double

V0560 factor V3057 double V5554 double

V0561 factor V3058 double V5555 double

V0562 factor V3059 double V5556 double

V0563 double V3060 double V5557 double

V0564 double V3061 double V5558 double

V0565 double V3062 double V5559 double

V0566 double V3063 double V5560 double

V0567 double V3064 double V5561 double

V0568 double V3065 double V5562 double

V0569 double V3066 double V5563 double

V0570 double V3067 double V5564 double

V0571 factor V3068 double V5565 double

V0572 factor V3069 double V5566 double

V0573 factor V3070 double V5567 double

V0574 factor V3071 double V5568 double

V0575 factor V3072 double V5569 double

V0576 factor V3073 double V5570 double

V0577 factor V3074 double V5571 double

V0578 double V3075 double V5572 double

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V0579 double V3076 double V5573 factor

V0580 double V3077 double V5574 factor

V0581 double V3078 double V5575 factor

V0582 double V3079 double V5576 double

V0583 double V3080 double V5577 double

V0584 double V3081 double V5578 double

V0585 double V3082 double V5579 double

V0586 double V3083 double V5580 double

V0587 double V3084 double V5581 double

V0588 double V3085 double V5582 double

V0589 double V3086 double V5583 double

V0590 double V3087 double V5584 double

V0591 double V3088 double V5585 double

V0592 double V3089 double V5586 double

V0593 double V3090 double V5587 double

V0594 double V3091 double V5588 double

V0595 double V3092 double V5589 double

V0596 double V3093 double V5590 double

V0597 double V3094 double V5591 double

V0598 double V3095 double V5592 double

V0599 double V3096 double V5593 double

V0600 double V3097 double V5594 double

V0601 double V3098 double V5595 double

V0602 double V3099 double V5596 double

V0603 double V3100 double V5597 double

V0604 double V3101 double V5598 double

V0605 double V3102 double V5599 double

V0606 double V3103 double V5600 double

V0607 double V3104 double V5601 factor

V0608 double V3105 double V5602 factor

V0609 double V3106 double V5603 factor

V0610 double V3107 double V5604 factor

V0611 double V3108 double V5605 factor

V0612 double V3109 double V5606 double

V0613 double V3110 double V5607 double

V0614 double V3111 double V5608 double

V0615 double V3112 double V5609 double

V0616 double V3113 double V5610 double

V0617 double V3114 double V5611 double

V0618 double V3115 double V5612 double

V0619 double V3116 double V5613 double

V0620 double V3117 double V5614 double

V0621 double V3118 double V5615 double

V0622 double V3119 double V5616 factor

V0623 double V3120 double V5617 double

V0624 double V3121 double V5618 double

V0625 double V3122 double V5619 double

V0626 double V3123 double V5620 double

V0627 double V3124 double V5621 double

V0628 double V3125 double V5622 double

V0629 double V3126 double V5623 double

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V0630 double V3127 double V5624 double

V0631 double V3128 double V5625 double

V0632 double V3129 double V5626 double

V0633 double V3130 double V5627 double

V0634 double V3131 double V5628 double

V0635 double V3132 double V5629 double

V0636 double V3133 double V5630 double

V0637 double V3134 double V5631 double

V0638 double V3135 double V5632 double

V0639 double V3136 double V5633 double

V0640 double V3137 double V5634 double

V0641 double V3138 double V5635 double

V0642 double V3139 double V5636 double

V0643 double V3140 double V5637 double

V0644 double V3141 double V5638 double

V0645 double V3142 double V5639 double

V0646 factor V3143 double V5640 double

V0647 factor V3144 double V5641 double

V0648 factor V3145 double V5642 double

V0649 factor V3146 double V5643 double

V0650 factor V3147 double V5644 double

V0651 factor V3148 double V5645 double

V0652 factor V3149 double V5646 double

V0653 factor V3150 double V5647 double

V0654 double V3151 double V5648 double

V0655 double V3152 double V5649 double

V0656 double V3153 double V5650 double

V0657 double V3154 double V5651 double

V0658 double V3155 double V5652 double

V0659 double V3156 double V5653 double

V0660 double V3157 double V5654 double

V0661 double V3158 double V5655 double

V0662 double V3159 double V5656 double

V0663 double V3160 double V5657 double

V0664 double V3161 double V5658 double

V0665 double V3162 double V5659 double

V0666 double V3163 double V5660 double

V0667 double V3164 double V5661 double

V0668 double V3165 double V5662 double

V0669 factor V3166 double V5663 double

V0670 factor V3167 double V5664 double

V0671 factor V3168 double V5665 double

V0672 factor V3169 double V5666 double

V0673 double V3170 double V5667 double

V0674 double V3171 double V5668 double

V0675 double V3172 double V5669 double

V0676 double V3173 double V5670 double

V0677 double V3174 double V5671 double

V0678 double V3175 double V5672 double

V0679 factor V3176 double V5673 double

V0680 factor V3177 double V5674 double

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V0681 factor V3178 double V5675 double

V0682 factor V3179 double V5676 double

V0683 factor V3180 double V5677 double

V0684 date V3181 double V5678 double

V0685 double V3182 double V5679 double

V0686 double V3183 double V5680 double

V0687 double V3184 double V5681 double

V0688 double V3185 double V5682 double

V0689 double V3186 double V5683 double

V0690 double V3187 double V5684 double

V0691 double V3188 double V5685 double

V0692 double V3189 double V5686 double

V0693 double V3190 double V5687 double

V0694 double V3191 double V5688 double

V0695 double V3192 double V5689 double

V0696 double V3193 double V5690 double

V0697 double V3194 double V5691 double

V0698 factor V3195 double V5692 double

V0699 factor V3196 double V5693 double

V0700 double V3197 double V5694 double

V0701 double V3198 double V5695 double

V0702 double V3199 double V5696 double

V0703 double V3200 double V5697 double

V0704 double V3201 double V5698 double

V0705 double V3202 double V5699 double

V0706 double V3203 double V5700 double

V0707 double V3204 double V5701 double

V0708 double V3205 double V5702 double

V0709 double V3206 double V5703 double

V0710 double V3207 double V5704 double

V0711 double V3208 double V5705 double

V0712 double V3209 double V5706 double

V0713 double V3210 double V5707 double

V0714 double V3211 double V5708 double

V0715 double V3212 double V5709 double

V0716 double V3213 double V5710 double

V0717 double V3214 double V5711 double

V0718 double V3215 factor V5712 double

V0719 double V3216 factor V5713 double

V0720 double V3217 factor V5714 double

V0721 double V3218 factor V5715 double

V0722 double V3219 factor V5716 double

V0723 double V3220 double V5717 double

V0724 double V3221 double V5718 double

V0725 double V3222 double V5719 double

V0726 double V3223 double V5720 double

V0727 double V3224 double V5721 double

V0728 double V3225 double V5722 double

V0729 double V3226 double V5723 double

V0730 double V3227 double V5724 double

V0731 double V3228 double V5725 double

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V0732 double V3229 double V5726 double

V0733 double V3230 double V5727 double

V0734 factor V3231 double V5728 double

V0735 double V3232 double V5729 double

V0736 double V3233 double V5730 double

V0737 double V3234 double V5731 double

V0738 double V3235 double V5732 double

V0739 double V3236 double V5733 double

V0740 double V3237 double V5734 double

V0741 double V3238 double V5735 double

V0742 double V3239 double V5736 double

V0743 double V3240 double V5737 double

V0744 double V3241 double V5738 double

V0745 double V3242 double V5739 double

V0746 double V3243 double V5740 double

V0747 double V3244 double V5741 double

V0748 double V3245 double V5742 double

V0749 double V3246 double V5743 factor

V0750 double V3247 double V5744 double

V0751 double V3248 double V5745 double

V0752 double V3249 double V5746 double

V0753 double V3250 double V5747 double

V0754 double V3251 double V5748 double

V0755 double V3252 double V5749 double

V0756 double V3253 double V5750 double

V0757 double V3254 double V5751 double

V0758 double V3255 double V5752 factor

V0759 factor V3256 double V5753 factor

V0760 factor V3257 double V5754 factor

V0761 factor V3258 double V5755 factor

V0762 double V3259 double V5756 factor

V0763 double V3260 double V5757 factor

V0764 double V3261 double V5758 factor

V0765 double V3262 double V5759 double

V0766 double V3263 double V5760 double

V0767 double V3264 double V5761 double

V0768 double V3265 double V5762 double

V0769 double V3266 double V5763 double

V0770 double V3267 double V5764 double

V0771 double V3268 double V5765 double

V0772 double V3269 double V5766 double

V0773 factor V3270 double V5767 double

V0774 factor V3271 double V5768 double

V0775 factor V3272 double V5769 double

V0776 factor V3273 double V5770 double

V0777 factor V3274 double V5771 double

V0778 factor V3275 double V5772 double

V0779 factor V3276 double V5773 double

V0780 double V3277 double V5774 double

V0781 double V3278 double V5775 double

V0782 double V3279 double V5776 double

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V0783 double V3280 double V5777 double

V0784 double V3281 double V5778 double

V0785 double V3282 double V5779 double

V0786 double V3283 double V5780 double

V0787 double V3284 double V5781 double

V0788 double V3285 double V5782 double

V0789 double V3286 double V5783 double

V0790 double V3287 double V5784 double

V0791 double V3288 double V5785 double

V0792 double V3289 double V5786 double

V0793 double V3290 double V5787 double

V0794 double V3291 double V5788 double

V0795 double V3292 double V5789 factor

V0796 double V3293 double V5790 double

V0797 double V3294 double V5791 double

V0798 double V3295 double V5792 double

V0799 double V3296 double V5793 double

V0800 double V3297 double V5794 double

V0801 double V3298 double V5795 double

V0802 double V3299 double V5796 double

V0803 double V3300 double V5797 factor

V0804 double V3301 double V5798 factor

V0805 double V3302 double V5799 factor

V0806 double V3303 factor V5800 factor

V0807 double V3304 factor V5801 factor

V0808 double V3305 factor V5802 factor

V0809 double V3306 double V5803 factor

V0810 double V3307 double V5804 factor

V0811 double V3308 double V5805 factor

V0812 double V3309 double V5806 double

V0813 double V3310 double V5807 double

V0814 double V3311 double V5808 double

V0815 double V3312 double V5809 double

V0816 double V3313 double V5810 double

V0817 double V3314 double V5811 double

V0818 double V3315 double V5812 double

V0819 double V3316 double V5813 factor

V0820 double V3317 double V5814 factor

V0821 double V3318 double V5815 factor

V0822 double V3319 double V5816 factor

V0823 double V3320 double V5817 factor

V0824 double V3321 double V5818 factor

V0825 double V3322 double V5819 factor

V0826 double V3323 double V5820 factor

V0827 double V3324 double V5821 factor

V0828 double V3325 double V5822 factor

V0829 double V3326 double V5823 factor

V0830 double V3327 double V5824 factor

V0831 double V3328 double V5825 factor

V0832 double V3329 double V5826 factor

V0833 double V3330 double V5827 factor

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V0834 double V3331 double V5828 factor

V0835 double V3332 double V5829 factor

V0836 double V3333 double V5830 factor

V0837 double V3334 double V5831 factor

V0838 double V3335 double V5832 double

V0839 double V3336 double V5833 factor

V0840 double V3337 double V5834 double

V0841 double V3338 double V5835 double

V0842 double V3339 double V5836 double

V0843 double V3340 double V5837 double

V0844 double V3341 double V5838 double

V0845 double V3342 double V5839 factor

V0846 double V3343 double V5840 factor

V0847 double V3344 double V5841 double

V0848 double V3345 double V5842 double

V0849 double V3346 double V5843 double

V0850 double V3347 double V5844 double

V0851 double V3348 double V5845 double

V0852 double V3349 double V5846 factor

V0853 double V3350 double V5847 double

V0854 double V3351 double V5848 double

V0855 double V3352 double V5849 double

V0856 double V3353 double V5850 double

V0857 double V3354 double V5851 double

V0858 double V3355 double V5852 double

V0859 double V3356 double V5853 double

V0860 factor V3357 double V5854 double

V0861 factor V3358 double V5855 double

V0862 factor V3359 double V5856 double

V0863 factor V3360 double V5857 double

V0864 factor V3361 double V5858 double

V0865 factor V3362 double V5859 double

V0866 factor V3363 double V5860 double

V0867 factor V3364 double V5861 double

V0868 factor V3365 double V5862 double

V0869 factor V3366 double V5863 double

V0870 factor V3367 double V5864 double

V0871 factor V3368 double V5865 double

V0872 factor V3369 double V5866 double

V0873 factor V3370 double V5867 double

V0874 factor V3371 double V5868 double

V0875 factor V3372 double V5869 double

V0876 double V3373 double V5870 double

V0877 double V3374 double V5871 double

V0878 factor V3375 double V5872 double

V0879 double V3376 double V5873 double

V0880 double V3377 double V5874 double

V0881 double V3378 double V5875 double

V0882 double V3379 double V5876 double

V0883 double V3380 double V5877 double

V0884 double V3381 double V5878 double

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V0885 double V3382 double V5879 double

V0886 double V3383 double V5880 double

V0887 double V3384 double V5881 double

V0888 double V3385 double V5882 double

V0889 double V3386 double V5883 double

V0890 double V3387 double V5884 double

V0891 double V3388 double V5885 double

V0892 double V3389 double V5886 double

V0893 double V3390 double V5887 double

V0894 double V3391 double V5888 double

V0895 double V3392 double V5889 double

V0896 double V3393 double V5890 double

V0897 double V3394 double V5891 double

V0898 double V3395 double V5892 double

V0899 double V3396 double V5893 double

V0900 double V3397 double V5894 double

V0901 double V3398 double V5895 double

V0902 factor V3399 double V5896 double

V0903 factor V3400 double V5897 double

V0904 factor V3401 double V5898 double

V0905 date V3402 double V5899 double

V0906 factor V3403 double V5900 double

V0907 factor V3404 double V5901 double

V0908 factor V3405 double V5902 double

V0909 factor V3406 double V5903 double

V0910 factor V3407 double V5904 double

V0911 factor V3408 double V5905 double

V0912 factor V3409 double V5906 double

V0913 factor V3410 double V5907 double

V0914 factor V3411 double V5908 double

V0915 factor V3412 double V5909 double

V0916 factor V3413 double V5910 double

V0917 factor V3414 double V5911 double

V0918 factor V3415 double V5912 double

V0919 factor V3416 double V5913 double

V0920 factor V3417 double V5914 double

V0921 factor V3418 double V5915 factor

V0922 factor V3419 double V5916 factor

V0923 factor V3420 double V5917 factor

V0924 factor V3421 double V5918 factor

V0925 factor V3422 double V5919 double

V0926 factor V3423 double V5920 double

V0927 factor V3424 double V5921 double

V0928 factor V3425 double V5922 double

V0929 factor V3426 double V5923 factor

V0930 factor V3427 double V5924 factor

V0931 factor V3428 double V5925 factor

V0932 factor V3429 double V5926 double

V0933 factor V3430 double V5927 double

V0934 factor V3431 double V5928 double

V0935 factor V3432 double V5929 double

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V0936 factor V3433 double V5930 double

V0937 factor V3434 double V5931 double

V0938 factor V3435 double V5932 double

V0939 factor V3436 double V5933 double

V0940 factor V3437 double V5934 double

V0941 factor V3438 double V5935 double

V0942 factor V3439 double V5936 double

V0943 factor V3440 double V5937 double

V0944 factor V3441 double V5938 double

V0945 factor V3442 double V5939 double

V0946 factor V3443 double V5940 double

V0947 factor V3444 double V5941 double

V0948 factor V3445 double V5942 double

V0949 factor V3446 double V5943 double

V0950 factor V3447 double V5944 double

V0951 factor V3448 double V5945 double

V0952 factor V3449 double V5946 double

V0953 factor V3450 double V5947 double

V0954 factor V3451 double V5948 double

V0955 factor V3452 double V5949 double

V0956 factor V3453 double V5950 double

V0957 double V3454 double V5951 double

V0958 double V3455 double V5952 double

V0959 double V3456 double V5953 double

V0960 double V3457 double V5954 double

V0961 double V3458 double V5955 double

V0962 double V3459 double V5956 double

V0963 double V3460 double V5957 double

V0964 double V3461 double V5958 double

V0965 double V3462 double V5959 double

V0966 double V3463 double V5960 double

V0967 double V3464 double V5961 double

V0968 double V3465 double V5962 double

V0969 double V3466 double V5963 double

V0970 double V3467 double V5964 double

V0971 double V3468 double V5965 double

V0972 double V3469 double V5966 double

V0973 double V3470 double V5967 double

V0974 double V3471 double V5968 double

V0975 double V3472 double V5969 double

V0976 double V3473 double V5970 factor

V0977 double V3474 double V5971 factor

V0978 double V3475 double V5972 double

V0979 double V3476 double V5973 double

V0980 double V3477 double V5974 double

V0981 double V3478 double V5975 double

V0982 double V3479 double V5976 double

V0983 double V3480 double V5977 double

V0984 double V3481 double V5978 double

V0985 double V3482 double V5979 double

V0986 double V3483 factor V5980 double

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V0987 double V3484 factor V5981 double

V0988 double V3485 factor V5982 double

V0989 double V3486 factor V5983 double

V0990 double V3487 factor V5984 double

V0991 double V3488 factor V5985 double

V0992 double V3489 factor V5986 double

V0993 double V3490 factor V5987 double

V0994 double V3491 factor V5988 double

V0995 double V3492 factor V5989 double

V0996 double V3493 factor V5990 double

V0997 double V3494 factor V5991 double

V0998 double V3495 factor V5992 double

V0999 double V3496 factor V5993 double

V01000 double V3497 factor V5994 double

V1001 double V3498 factor V5995 double

V1002 double V3499 factor V5996 double

V1003 double V3500 factor V5997 double

V1004 double V3501 factor V5998 double

V1005 double V3502 factor V5999 double

V1006 double V3503 factor V6000 double

V1007 double V3504 factor V6001 double

V1008 factor V3505 factor V6002 double

V1009 factor V3506 factor V6003 double

V1010 factor V3507 factor V6004 double

V1011 factor V3508 factor V6005 double

V1012 factor V3509 factor V6006 factor

V1013 factor V3510 factor V6007 factor

V1014 factor V3511 factor V6008 factor

V1015 factor V3512 factor V6009 factor

V1016 factor V3513 factor V6010 factor

V1017 factor V3514 factor V6011 factor

V1018 factor V3515 factor V6012 double

V1019 factor V3516 factor V6013 double

V1020 double V3517 factor V6014 double

V1021 double V3518 factor V6015 double

V1022 double V3519 factor V6016 double

V1023 factor V3520 factor V6017 double

V1024 factor V3521 factor V6018 double

V1025 factor V3522 factor V6019 double

V1026 double V3523 factor V6020 double

V1027 double V3524 factor V6021 double

V1028 double V3525 factor V6022 double

V1029 double V3526 factor V6023 double

V1030 double V3527 factor V6024 double

V1031 double V3528 factor V6025 double

V1032 factor V3529 factor V6026 double

V1033 factor V3530 factor V6027 double

V1034 double V3531 factor V6028 double

V1035 double V3532 factor V6029 double

V1036 double V3533 factor V6030 double

V1037 double V3534 factor V6031 double

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V1038 double V3535 factor V6032 double

V1039 double V3536 factor V6033 double

V1040 factor V3537 factor V6034 double

V1041 double V3538 factor V6035 factor

V1042 factor V3539 factor V6036 factor

V1043 factor V3540 factor V6037 factor

V1044 factor V3541 factor V6038 factor

V1045 factor V3542 factor V6039 factor

V1046 factor V3543 factor V6040 factor

V1047 factor V3544 factor V6041 factor

V1048 factor V3545 factor V6042 factor

V1049 factor V3546 factor V6043 factor

V1050 factor V3547 factor V6044 factor

V1051 factor V3548 factor V6045 factor

V1052 factor V3549 factor V6046 factor

V1053 double V3550 factor V6047 factor

V1054 double V3551 factor V6048 factor

V1055 double V3552 double V6049 double

V1056 double V3553 double V6050 double

V1057 double V3554 double V6051 double

V1058 double V3555 double V6052 double

V1059 factor V3556 double V6053 double

V1060 double V3557 double V6054 double

V1061 double V3558 double V6055 double

V1062 factor V3559 double V6056 factor

V1063 double V3560 double V6057 factor

V1064 double V3561 double V6058 factor

V1065 factor V3562 double V6059 factor

V1066 factor V3563 double V6060 factor

V1067 factor V3564 factor V6061 factor

V1068 factor V3565 factor V6062 factor

V1069 factor V3566 factor V6063 factor

V1070 factor V3567 factor V6064 factor

V1071 factor V3568 factor V6065 factor

V1072 factor V3569 factor V6066 factor

V1073 factor V3570 factor V6067 factor

V1074 factor V3571 factor V6068 factor

V1075 factor V3572 factor V6069 factor

V1076 double V3573 factor V6070 double

V1077 double V3574 factor V6071 double

V1078 double V3575 factor V6072 double

V1079 double V3576 double V6073 double

V1080 double V3577 double V6074 double

V1081 double V3578 double V6075 double

V1082 double V3579 double V6076 double

V1083 factor V3580 double V6077 factor

V1084 factor V3581 double V6078 double

V1085 factor V3582 double V6079 double

V1086 factor V3583 double V6080 double

V1087 double V3584 double V6081 double

V1088 double V3585 double V6082 double

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V1089 double V3586 double V6083 double

V1090 factor V3587 double V6084 double

V1091 factor V3588 double V6085 double

V1092 double V3589 double V6086 double

V1093 double V3590 double V6087 double

V1094 double V3591 double V6088 double

V1095 double V3592 double V6089 double

V1096 factor V3593 double V6090 double

V1097 double V3594 double V6091 double

V1098 double V3595 double V6092 double

V1099 double V3596 double V6093 double

V1100 factor V3597 double V6094 double

V1101 factor V3598 double V6095 double

V1102 factor V3599 double V6096 double

V1103 factor V3600 double V6097 double

V1104 factor V3601 double V6098 double

V1105 factor V3602 double V6099 double

V1106 double V3603 double V6100 double

V1107 double V3604 double V6101 double

V1108 double V3605 double V6102 double

V1109 double V3606 double V6103 double

V1110 double V3607 double V6104 double

V1111 double V3608 double V6105 double

V1112 double V3609 double V6106 double

V1113 double V3610 double V6107 double

V1114 double V3611 double V6108 double

V1115 double V3612 double V6109 double

V1116 double V3613 double V6110 double

V1117 double V3614 double V6111 factor

V1118 double V3615 double V6112 double

V1119 double V3616 double V6113 double

V1120 double V3617 double V6114 double

V1121 double V3618 double V6115 double

V1122 double V3619 double V6116 double

V1123 double V3620 double V6117 double

V1124 double V3621 double V6118 double

V1125 double V3622 double V6119 double

V1126 double V3623 double V6120 double

V1127 double V3624 factor V6121 double

V1128 double V3625 factor V6122 double

V1129 double V3626 factor V6123 double

V1130 double V3627 factor V6124 double

V1131 double V3628 factor V6125 double

V1132 factor V3629 factor V6126 double

V1133 factor V3630 factor V6127 double

V1134 double V3631 factor V6128 double

V1135 double V3632 factor V6129 double

V1136 double V3633 factor V6130 double

V1137 double V3634 factor V6131 double

V1138 double V3635 factor V6132 double

V1139 double V3636 double V6133 double

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V1140 factor V3637 double V6134 double

V1141 factor V3638 double V6135 double

V1142 factor V3639 double V6136 factor

V1143 factor V3640 double V6137 factor

V1144 double V3641 double V6138 double

V1145 double V3642 double V6139 factor

V1146 double V3643 double V6140 double

V1147 double V3644 double V6141 double

V1148 double V3645 double V6142 double

V1149 double V3646 double V6143 factor

V1150 double V3647 double V6144 double

V1151 double V3648 double V6145 factor

V1152 double V3649 double V6146 factor

V1153 double V3650 double V6147 factor

V1154 double V3651 double V6148 double

V1155 double V3652 double V6149 double

V1156 double V3653 double V6150 factor

V1157 double V3654 double V6151 double

V1158 double V3655 double V6152 double

V1159 double V3656 double V6153 factor

V1160 double V3657 double V6154 double

V1161 double V3658 double V6155 double

V1162 double V3659 double V6156 double

V1163 double V3660 double V6157 factor

V1164 double V3661 double V6158 double

V1165 double V3662 double V6159 double

V1166 double V3663 double V6160 double

V1167 double V3664 double V6161 double

V1168 double V3665 double V6162 double

V1169 double V3666 double V6163 double

V1170 double V3667 double V6164 double

V1171 double V3668 double V6165 double

V1172 double V3669 double V6166 double

V1173 double V3670 double V6167 double

V1174 double V3671 double V6168 double

V1175 double V3672 double V6169 double

V1176 double V3673 double V6170 double

V1177 double V3674 double V6171 double

V1178 double V3675 double V6172 double

V1179 double V3676 double V6173 double

V1180 double V3677 double V6174 double

V1181 double V3678 double V6175 double

V1182 double V3679 double V6176 double

V1183 double V3680 double V6177 double

V1184 double V3681 double V6178 double

V1185 double V3682 double V6179 factor

V1186 double V3683 double V6180 double

V1187 double V3684 double V6181 double

V1188 double V3685 double V6182 double

V1189 double V3686 double V6183 double

V1190 double V3687 double V6184 double

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V1191 double V3688 double V6185 double

V1192 double V3689 double V6186 double

V1193 double V3690 double V6187 double

V1194 double V3691 double V6188 double

V1195 double V3692 double V6189 double

V1196 double V3693 double V6190 double

V1197 double V3694 double V6191 double

V1198 double V3695 double V6192 double

V1199 double V3696 double V6193 double

V1200 double V3697 double V6194 double

V1201 double V3698 double V6195 double

V1202 double V3699 double V6196 double

V1203 double V3700 double V6197 double

V1204 double V3701 double V6198 double

V1205 double V3702 double V6199 double

V1206 double V3703 double V6200 double

V1207 double V3704 double V6201 double

V1208 double V3705 double V6202 double

V1209 double V3706 double V6203 factor

V1210 double V3707 double V6204 factor

V1211 double V3708 double V6205 factor

V1212 double V3709 double V6206 factor

V1213 double V3710 double V6207 factor

V1214 double V3711 double V6208 factor

V1215 double V3712 double V6209 factor

V1216 factor V3713 double V6210 factor

V1217 factor V3714 double V6211 factor

V1218 factor V3715 double V6212 factor

V1219 factor V3716 double V6213 factor

V1220 factor V3717 double V6214 factor

V1221 factor V3718 double V6215 factor

V1222 factor V3719 double V6216 factor

V1223 factor V3720 double V6217 factor

V1224 factor V3721 double V6218 factor

V1225 factor V3722 double V6219 factor

V1226 factor V3723 double V6220 factor

V1227 factor V3724 double V6221 factor

V1228 double V3725 double V6222 factor

V1229 double V3726 double V6223 factor

V1230 double V3727 double V6224 factor

V1231 double V3728 double V6225 factor

V1232 double V3729 double V6226 factor

V1233 double V3730 double V6227 factor

V1234 double V3731 double V6228 factor

V1235 double V3732 double V6229 factor

V1236 double V3733 double V6230 factor

V1237 double V3734 double V6231 factor

V1238 double V3735 double V6232 factor

V1239 double V3736 double V6233 factor

V1240 double V3737 double V6234 factor

V1241 double V3738 double V6235 factor

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V1242 factor V3739 double V6236 factor

V1243 factor V3740 double V6237 factor

V1244 factor V3741 double V6238 factor

V1245 double V3742 double V6239 factor

V1246 double V3743 double V6240 factor

V1247 factor V3744 double V6241 factor

V1248 double V3745 factor V6242 factor

V1249 double V3746 factor V6243 factor

V1250 double V3747 factor V6244 factor

V1251 double V3748 factor V6245 factor

V1252 double V3749 factor V6246 factor

V1253 double V3750 factor V6247 factor

V1254 double V3751 double V6248 factor

V1255 double V3752 double V6249 factor

V1256 double V3753 double V6250 factor

V1257 double V3754 date V6251 factor

V1258 double V3755 date V6252 factor

V1259 double V3756 factor V6253 factor

V1260 double V3757 double V6254 factor

V1261 double V3758 double V6255 factor

V1262 double V3759 double V6256 factor

V1263 double V3760 double V6257 factor

V1264 double V3761 double V6258 factor

V1265 double V3762 double V6259 factor

V1266 double V3763 double V6260 factor

V1267 double V3764 double V6261 factor

V1268 double V3765 double V6262 factor

V1269 double V3766 factor V6263 factor

V1270 double V3767 double V6264 factor

V1271 double V3768 double V6265 factor

V1272 double V3769 double V6266 factor

V1273 double V3770 factor V6267 factor

V1274 double V3771 double V6268 factor

V1275 double V3772 double V6269 factor

V1276 double V3773 double V6270 factor

V1277 double V3774 double V6271 factor

V1278 double V3775 double V6272 factor

V1279 double V3776 double V6273 factor

V1280 double V3777 factor V6274 factor

V1281 double V3778 factor V6275 factor

V1282 double V3779 double V6276 factor

V1283 double V3780 double V6277 factor

V1284 double V3781 double V6278 factor

V1285 double V3782 double V6279 factor

V1286 double V3783 double V6280 factor

V1287 double V3784 factor V6281 factor

V1288 double V3785 double V6282 factor

V1289 double V3786 double V6283 factor

V1290 double V3787 double V6284 factor

V1291 double V3788 double V6285 factor

V1292 double V3789 double V6286 factor

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V1293 double V3790 double V6287 factor

V1294 double V3791 double V6288 factor

V1295 double V3792 double V6289 factor

V1296 double V3793 double V6290 factor

V1297 double V3794 double V6291 factor

V1298 double V3795 double V6292 factor

V1299 double V3796 double V6293 factor

V1300 double V3797 double V6294 factor

V1301 double V3798 double V6295 factor

V1302 double V3799 double V6296 factor

V1303 double V3800 double V6297 factor

V1304 double V3801 double V6298 factor

V1305 double V3802 double V6299 factor

V1306 double V3803 double V6300 factor

V1307 double V3804 double V6301 factor

V1308 double V3805 double V6302 factor

V1309 double V3806 double V6303 factor

V1310 double V3807 double V6304 factor

V1311 double V3808 factor V6305 factor

V1312 double V3809 double V6306 factor

V1313 double V3810 double V6307 factor

V1314 double V3811 double V6308 factor

V1315 double V3812 double V6309 factor

V1316 double V3813 factor V6310 factor

V1317 double V3814 double V6311 factor

V1318 double V3815 double V6312 factor

V1319 double V3816 double V6313 factor

V1320 double V3817 double V6314 factor

V1321 double V3818 double V6315 factor

V1322 double V3819 double V6316 factor

V1323 double V3820 double V6317 factor

V1324 double V3821 double V6318 factor

V1325 double V3822 double V6319 factor

V1326 double V3823 double V6320 factor

V1327 double V3824 double V6321 factor

V1328 double V3825 double V6322 factor

V1329 double V3826 factor V6323 factor

V1330 double V3827 factor V6324 factor

V1331 double V3828 factor V6325 factor

V1332 double V3829 factor V6326 factor

V1333 double V3830 factor V6327 factor

V1334 double V3831 factor V6328 factor

V1335 double V3832 factor V6329 factor

V1336 double V3833 factor V6330 factor

V1337 double V3834 factor V6331 factor

V1338 double V3835 factor V6332 factor

V1339 double V3836 double V6333 factor

V1340 double V3837 double V6334 factor

V1341 double V3838 double V6335 factor

V1342 double V3839 double V6336 factor

V1343 double V3840 double V6337 factor

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V1344 double V3841 double V6338 factor

V1345 double V3842 double V6339 factor

V1346 double V3843 double V6340 factor

V1347 double V3844 double V6341 factor

V1348 double V3845 double V6342 factor

V1349 double V3846 double V6343 factor

V1350 double V3847 factor V6344 factor

V1351 double V3848 factor V6345 factor

V1352 double V3849 factor V6346 factor

V1353 double V3850 factor V6347 factor

V1354 double V3851 factor V6348 factor

V1355 double V3852 factor V6349 factor

V1356 double V3853 factor V6350 factor

V1357 double V3854 factor V6351 factor

V1358 double V3855 factor V6352 factor

V1359 double V3856 factor V6353 double

V1360 double V3857 double V6354 factor

V1361 double V3858 double V6355 factor

V1362 double V3859 double V6356 factor

V1363 double V3860 double V6357 factor

V1364 double V3861 double V6358 factor

V1365 double V3862 double V6359 factor

V1366 double V3863 double V6360 factor

V1367 double V3864 double V6361 factor

V1368 double V3865 double V6362 double

V1369 double V3866 double V6363 double

V1370 double V3867 double V6364 double

V1371 double V3868 double V6365 double

V1372 double V3869 double V6366 double

V1373 double V3870 double V6367 double

V1374 double V3871 double V6368 double

V1375 double V3872 double V6369 double

V1376 double V3873 double V6370 double

V1377 double V3874 double V6371 double

V1378 double V3875 double V6372 double

V1379 double V3876 double V6373 double

V1380 double V3877 double V6374 double

V1381 double V3878 double V6375 double

V1382 double V3879 double V6376 factor

V1383 double V3880 double V6377 double

V1384 double V3881 double V6378 double

V1385 double V3882 factor V6379 double

V1386 double V3883 factor V6380 double

V1387 double V3884 factor V6381 double

V1388 double V3885 factor V6382 double

V1389 double V3886 factor V6383 double

V1390 double V3887 factor V6384 double

V1391 double V3888 factor V6385 double

V1392 double V3889 factor V6386 double

V1393 double V3890 factor V6387 double

V1394 double V3891 factor V6388 double

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V1395 double V3892 factor V6389 double

V1396 double V3893 double V6390 double

V1397 double V3894 double V6391 double

V1398 double V3895 double V6392 double

V1399 double V3896 double V6393 double

V1400 double V3897 double V6394 double

V1401 double V3898 double V6395 double

V1402 double V3899 double V6396 double

V1403 double V3900 double V6397 double

V1404 double V3901 double V6398 double

V1405 double V3902 double V6399 double

V1406 double V3903 double V6400 double

V1407 double V3904 double V6401 double

V1408 double V3905 double V6402 double

V1409 double V3906 double V6403 double

V1410 double V3907 double V6404 double

V1411 double V3908 double V6405 double

V1412 double V3909 double V6406 double

V1413 double V3910 double V6407 double

V1414 double V3911 double V6408 double

V1415 double V3912 double V6409 double

V1416 double V3913 double V6410 double

V1417 double V3914 double V6411 double

V1418 double V3915 double V6412 double

V1419 double V3916 double V6413 double

V1420 double V3917 double V6414 factor

V1421 double V3918 double V6415 factor

V1422 double V3919 double V6416 factor

V1423 double V3920 double V6417 factor

V1424 double V3921 double V6418 factor

V1425 double V3922 double V6419 factor

V1426 factor V3923 double V6420 factor

V1427 double V3924 double V6421 factor

V1428 date V3925 double V6422 factor

V1429 date V3926 double V6423 double

V1430 double V3927 double V6424 double

V1431 double V3928 double V6425 double

V1432 double V3929 double V6426 double

V1433 double V3930 factor V6427 double

V1434 double V3931 factor V6428 double

V1435 double V3932 factor V6429 double

V1436 factor V3933 factor V6430 double

V1437 double V3934 factor V6431 double

V1438 double V3935 factor V6432 double

V1439 double V3936 factor V6433 double

V1440 double V3937 factor V6434 double

V1441 double V3938 factor V6435 double

V1442 double V3939 factor V6436 double

V1443 double V3940 factor V6437 double

V1444 double V3941 factor V6438 double

V1445 double V3942 factor V6439 double

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V1446 double V3943 factor V6440 factor

V1447 double V3944 factor V6441 double

V1448 double V3945 factor V6442 double

V1449 double V3946 factor V6443 factor

V1450 double V3947 factor V6444 factor

V1451 double V3948 double V6445 factor

V1452 factor V3949 double V6446 factor

V1453 factor V3950 double V6447 double

V1454 double V3951 double V6448 factor

V1455 double V3952 double V6449 factor

V1456 double V3953 double V6450 factor

V1457 double V3954 factor V6451 double

V1458 double V3955 factor V6452 double

V1459 double V3956 factor V6453 double

V1460 double V3957 factor V6454 double

V1461 double V3958 factor V6455 double

V1462 double V3959 factor V6456 double

V1463 double V3960 factor V6457 double

V1464 factor V3961 factor V6458 double

V1465 double V3962 factor V6459 double

V1466 factor V3963 factor V6460 double

V1467 double V3964 factor V6461 double

V1468 double V3965 factor V6462 double

V1469 double V3966 factor V6463 double

V1470 double V3967 factor V6464 double

V1471 double V3968 factor V6465 double

V1472 double V3969 factor V6466 double

V1473 double V3970 factor V6467 double

V1474 double V3971 factor V6468 double

V1475 double V3972 factor V6469 double

V1476 double V3973 factor V6470 double

V1477 double V3974 factor V6471 double

V1478 double V3975 factor V6472 double

V1479 double V3976 factor V6473 double

V1480 double V3977 factor V6474 double

V1481 double V3978 factor V6475 double

V1482 double V3979 factor V6476 double

V1483 double V3980 factor V6477 double

V1484 double V3981 factor V6478 double

V1485 double V3982 factor V6479 double

V1486 double V3983 factor V6480 double

V1487 double V3984 factor V6481 double

V1488 factor V3985 factor V6482 double

V1489 factor V3986 factor V6483 double

V1490 double V3987 factor V6484 double

V1491 double V3988 factor V6485 double

V1492 double V3989 factor V6486 double

V1493 double V3990 factor V6487 double

V1494 double V3991 factor V6488 double

V1495 double V3992 factor V6489 double

V1496 double V3993 factor V6490 double

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V1497 double V3994 factor V6491 double

V1498 double V3995 factor V6492 double

V1499 double V3996 factor V6493 double

V1500 double V3997 factor V6494 double

V1501 double V3998 factor V6495 double

V1502 double V3999 factor V6496 double

V1503 double V4000 factor V6497 double

V1504 double V4001 factor V6498 double

V1505 double V4002 factor V6499 double

V1506 double V4003 factor V6500 double

V1507 double V4004 factor V6501 double

V1508 double V4005 factor V6502 double

V1509 double V4006 factor V6503 double

V1510 double V4007 factor V6504 double

V1511 double V4008 factor V6505 double

V1512 double V4009 factor V6506 double

V1513 double V4010 factor V6507 double

V1514 double V4011 factor V6508 double

V1515 double V4012 factor V6509 double

V1516 double V4013 double V6510 double

V1517 double V4014 double V6511 double

V1518 double V4015 double V6512 double

V1519 double V4016 double V6513 double

V1520 double V4017 double V6514 double

V1521 double V4018 double V6515 double

V1522 double V4019 double V6516 double

V1523 double V4020 double V6517 double

V1524 double V4021 double V6518 double

V1525 double V4022 double V6519 double

V1526 double V4023 double V6520 double

V1527 double V4024 double V6521 double

V1528 double V4025 double V6522 double

V1529 double V4026 double V6523 double

V1530 double V4027 double V6524 double

V1531 double V4028 double V6525 double

V1532 double V4029 double V6526 double

V1533 double V4030 double V6527 double

V1534 double V4031 double V6528 double

V1535 double V4032 double V6529 double

V1536 double V4033 double V6530 double

V1537 double V4034 double V6531 double

V1538 double V4035 double V6532 double

V1539 double V4036 double V6533 double

V1540 double V4037 double V6534 double

V1541 double V4038 double V6535 double

V1542 double V4039 double V6536 double

V1543 double V4040 double V6537 double

V1544 double V4041 double V6538 double

V1545 double V4042 double V6539 double

V1546 double V4043 double V6540 double

V1547 double V4044 double V6541 double

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V1548 double V4045 double V6542 double

V1549 double V4046 double V6543 double

V1550 double V4047 double V6544 double

V1551 double V4048 double V6545 double

V1552 double V4049 double V6546 double

V1553 double V4050 double V6547 double

V1554 double V4051 double V6548 double

V1555 double V4052 double V6549 double

V1556 double V4053 double V6550 double

V1557 double V4054 double V6551 factor

V1558 double V4055 double V6552 double

V1559 double V4056 double V6553 factor

V1560 double V4057 double V6554 double

V1561 double V4058 double V6555 double

V1562 double V4059 double V6556 double

V1563 double V4060 double V6557 double

V1564 double V4061 double V6558 double

V1565 double V4062 double V6559 double

V1566 double V4063 factor V6560 double

V1567 double V4064 double V6561 double

V1568 double V4065 double V6562 double

V1569 double V4066 double V6563 double

V1570 double V4067 double V6564 double

V1571 double V4068 factor V6565 double

V1572 double V4069 factor V6566 double

V1573 double V4070 double V6567 double

V1574 double V4071 double V6568 double

V1575 double V4072 double V6569 double

V1576 double V4073 double V6570 double

V1577 double V4074 double V6571 double

V1578 double V4075 factor V6572 double

V1579 double V4076 factor V6573 double

V1580 double V4077 double V6574 double

V1581 double V4078 double V6575 double

V1582 double V4079 double V6576 double

V1583 double V4080 double V6577 double

V1584 double V4081 double V6578 double

V1585 double V4082 double V6579 double

V1586 double V4083 double V6580 double

V1587 double V4084 double V6581 double

V1588 double V4085 double V6582 double

V1589 double V4086 double V6583 double

V1590 double V4087 double V6584 double

V1591 double V4088 double V6585 double

V1592 double V4089 double V6586 double

V1593 double V4090 double V6587 double

V1594 double V4091 double V6588 double

V1595 double V4092 double V6589 double

V1596 double V4093 double V6590 double

V1597 double V4094 double V6591 double

V1598 double V4095 double V6592 double

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V1599 double V4096 double V6593 double

V1600 double V4097 double V6594 double

V1601 double V4098 double V6595 double

V1602 double V4099 double V6596 double

V1603 double V4100 double V6597 double

V1604 double V4101 double V6598 double

V1605 double V4102 double V6599 double

V1606 double V4103 double V6600 double

V1607 double V4104 double V6601 double

V1608 double V4105 double V6602 double

V1609 double V4106 double V6603 double

V1610 double V4107 double V6604 double

V1611 double V4108 double V6605 double

V1612 double V4109 double V6606 double

V1613 double V4110 double V6607 double

V1614 double V4111 double V6608 double

V1615 double V4112 double V6609 double

V1616 double V4113 double V6610 double

V1617 double V4114 double V6611 double

V1618 double V4115 double V6612 double

V1619 double V4116 factor V6613 double

V1620 double V4117 double V6614 double

V1621 double V4118 double V6615 double

V1622 double V4119 double V6616 double

V1623 double V4120 double V6617 double

V1624 double V4121 double V6618 double

V1625 double V4122 double V6619 double

V1626 double V4123 double V6620 double

V1627 double V4124 double V6621 double

V1628 double V4125 double V6622 double

V1629 double V4126 double V6623 double

V1630 double V4127 factor V6624 double

V1631 double V4128 double V6625 double

V1632 double V4129 double V6626 double

V1633 double V4130 double V6627 double

V1634 double V4131 double V6628 double

V1635 double V4132 factor V6629 double

V1636 double V4133 factor V6630 double

V1637 double V4134 factor V6631 double

V1638 double V4135 factor V6632 double

V1639 double V4136 factor V6633 double

V1640 double V4137 factor V6634 double

V1641 double V4138 factor V6635 double

V1642 double V4139 factor V6636 double

V1643 double V4140 factor V6637 double

V1644 double V4141 factor V6638 double

V1645 double V4142 double V6639 double

V1646 double V4143 double V6640 double

V1647 double V4144 double V6641 double

V1648 double V4145 double V6642 double

V1649 factor V4146 double V6643 double

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V1650 double V4147 double V6644 double

V1651 double V4148 double V6645 double

V1652 factor V4149 double V6646 double

V1653 double V4150 double V6647 double

V1654 factor V4151 double V6648 double

V1655 factor V4152 double V6649 double

V1656 factor V4153 double V6650 double

V1657 factor V4154 double V6651 double

V1658 factor V4155 double V6652 double

V1659 double V4156 double V6653 double

V1660 double V4157 double V6654 double

V1661 double V4158 double V6655 double

V1662 double V4159 double V6656 double

V1663 double V4160 double V6657 double

V1664 double V4161 double V6658 double

V1665 double V4162 factor V6659 double

V1666 double V4163 double V6660 double

V1667 factor V4164 factor V6661 double

V1668 double V4165 factor V6662 double

V1669 double V4166 double V6663 double

V1670 double V4167 double V6664 double

V1671 double V4168 double V6665 double

V1672 double V4169 double V6666 double

V1673 double V4170 double V6667 double

V1674 double V4171 factor V6668 double

V1675 double V4172 factor V6669 double

V1676 double V4173 factor V6670 double

V1677 double V4174 factor V6671 double

V1678 double V4175 factor V6672 double

V1679 double V4176 factor V6673 factor

V1680 double V4177 factor V6674 factor

V1681 double V4178 factor V6675 double

V1682 double V4179 factor V6676 double

V1683 double V4180 factor V6677 double

V1684 double V4181 factor V6678 double

V1685 double V4182 factor V6679 double

V1686 double V4183 factor V6680 double

V1687 double V4184 factor V6681 double

V1688 double V4185 factor V6682 factor

V1689 double V4186 factor V6683 factor

V1690 double V4187 factor V6684 factor

V1691 double V4188 factor V6685 factor

V1692 double V4189 factor V6686 factor

V1693 double V4190 factor V6687 factor

V1694 double V4191 factor V6688 double

V1695 double V4192 factor V6689 double

V1696 double V4193 factor V6690 double

V1697 double V4194 factor V6691 double

V1698 double V4195 factor V6692 double

V1699 double V4196 factor V6693 double

V1700 double V4197 factor V6694 double

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V1701 double V4198 factor V6695 double

V1702 double V4199 factor V6696 double

V1703 double V4200 factor V6697 double

V1704 double V4201 factor V6698 double

V1705 double V4202 factor V6699 double

V1706 double V4203 factor V6700 double

V1707 double V4204 factor V6701 double

V1708 double V4205 factor V6702 double

V1709 double V4206 factor V6703 double

V1710 double V4207 factor V6704 double

V1711 double V4208 factor V6705 double

V1712 double V4209 factor V6706 double

V1713 double V4210 factor V6707 double

V1714 double V4211 factor V6708 factor

V1715 double V4212 factor V6709 double

V1716 double V4213 factor V6710 double

V1717 double V4214 factor V6711 double

V1718 double V4215 factor V6712 double

V1719 double V4216 factor V6713 double

V1720 double V4217 factor V6714 double

V1721 double V4218 factor V6715 double

V1722 double V4219 double V6716 double

V1723 double V4220 double V6717 double

V1724 double V4221 double V6718 double

V1725 double V4222 factor V6719 double

V1726 double V4223 factor V6720 factor

V1727 double V4224 factor V6721 double

V1728 double V4225 factor V6722 double

V1729 double V4226 double V6723 double

V1730 double V4227 double V6724 double

V1731 double V4228 double V6725 double

V1732 double V4229 double V6726 double

V1733 double V4230 double V6727 double

V1734 double V4231 double V6728 double

V1735 double V4232 double V6729 double

V1736 double V4233 double V6730 factor

V1737 double V4234 double V6731 factor

V1738 double V4235 double V6732 double

V1739 double V4236 double V6733 double

V1740 double V4237 double V6734 double

V1741 double V4238 factor V6735 double

V1742 double V4239 factor V6736 double

V1743 double V4240 double V6737 double

V1744 double V4241 double V6738 double

V1745 double V4242 double V6739 double

V1746 double V4243 double V6740 double

V1747 double V4244 double V6741 double

V1748 double V4245 double V6742 double

V1749 double V4246 double V6743 factor

V1750 double V4247 double V6744 factor

V1751 double V4248 double V6745 factor

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V1752 double V4249 double V6746 double

V1753 double V4250 double V6747 double

V1754 double V4251 double V6748 double

V1755 double V4252 double V6749 double

V1756 double V4253 double V6750 double

V1757 double V4254 double V6751 double

V1758 double V4255 double V6752 double

V1759 double V4256 double V6753 double

V1760 double V4257 double V6754 double

V1761 double V4258 double V6755 double

V1762 double V4259 double V6756 factor

V1763 double V4260 double V6757 factor

V1764 double V4261 double V6758 double

V1765 double V4262 double V6759 factor

V1766 double V4263 double V6760 double

V1767 double V4264 double V6761 double

V1768 double V4265 double V6762 double

V1769 double V4266 double V6763 double

V1770 double V4267 double V6764 double

V1771 double V4268 double V6765 double

V1772 double V4269 double V6766 double

V1773 double V4270 double V6767 double

V1774 double V4271 double V6768 double

V1775 double V4272 double V6769 double

V1776 double V4273 double V6770 double

V1777 double V4274 double V6771 double

V1778 double V4275 double V6772 double

V1779 double V4276 double V6773 double

V1780 double V4277 double V6774 double

V1781 double V4278 double V6775 double

V1782 double V4279 double V6776 double

V1783 double V4280 double V6777 double

V1784 double V4281 double V6778 double

V1785 double V4282 double V6779 double

V1786 double V4283 double V6780 double

V1787 double V4284 double V6781 double

V1788 double V4285 double V6782 double

V1789 double V4286 double V6783 factor

V1790 double V4287 double V6784 factor

V1791 double V4288 double V6785 factor

V1792 double V4289 double V6786 double

V1793 double V4290 double V6787 double

V1794 double V4291 double V6788 double

V1795 double V4292 double V6789 double

V1796 double V4293 double V6790 double

V1797 double V4294 double V6791 double

V1798 double V4295 double V6792 double

V1799 factor V4296 double V6793 double

V1800 double V4297 double V6794 double

V1801 double V4298 double V6795 double

V1802 double V4299 double V6796 factor

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V1803 double V4300 double V6797 double

V1804 double V4301 double V6798 double

V1805 double V4302 double V6799 double

V1806 double V4303 double V6800 double

V1807 double V4304 double V6801 double

V1808 double V4305 double V6802 double

V1809 double V4306 factor V6803 double

V1810 double V4307 double V6804 double

V1811 double V4308 double V6805 double

V1812 double V4309 double V6806 double

V1813 double V4310 double V6807 double

V1814 double V4311 double V6808 double

V1815 double V4312 double V6809 double

V1816 double V4313 double V6810 factor

V1817 double V4314 double V6811 factor

V1818 double V4315 double V6812 factor

V1819 double V4316 double V6813 factor

V1820 double V4317 double V6814 double

V1821 factor V4318 double V6815 double

V1822 factor V4319 double V6816 double

V1823 double V4320 double V6817 double

V1824 double V4321 double V6818 double

V1825 double V4322 double V6819 double

V1826 double V4323 factor V6820 double

V1827 factor V4324 factor V6821 double

V1828 double V4325 factor V6822 double

V1829 double V4326 factor V6823 double

V1830 double V4327 factor V6824 double

V1831 double V4328 factor V6825 double

V1832 double V4329 factor V6826 double

V1833 double V4330 double V6827 double

V1834 double V4331 double V6828 double

V1835 double V4332 double V6829 double

V1836 double V4333 double V6830 double

V1837 double V4334 factor V6831 double

V1838 double V4335 factor V6832 double

V1839 double V4336 factor V6833 double

V1840 double V4337 factor V6834 double

V1841 double V4338 factor V6835 double

V1842 double V4339 double V6836 double

V1843 double V4340 double V6837 double

V1844 double V4341 double V6838 double

V1845 double V4342 double V6839 double

V1846 double V4343 double V6840 double

V1847 double V4344 double V6841 double

V1848 double V4345 double V6842 double

V1849 double V4346 factor V6843 double

V1850 double V4347 factor V6844 double

V1851 double V4348 factor V6845 double

V1852 double V4349 factor V6846 double

V1853 double V4350 factor V6847 double

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V1854 double V4351 factor V6848 double

V1855 double V4352 factor V6849 double

V1856 factor V4353 double V6850 double

V1857 double V4354 double V6851 double

V1858 double V4355 double V6852 double

V1859 double V4356 double V6853 double

V1860 double V4357 double V6854 double

V1861 double V4358 double V6855 double

V1862 double V4359 double V6856 double

V1863 double V4360 double V6857 double

V1864 date V4361 double V6858 double

V1865 date V4362 double V6859 double

V1866 double V4363 double V6860 double

V1867 double V4364 double V6861 double

V1868 double V4365 double V6862 double

V1869 double V4366 factor V6863 double

V1870 double V4367 factor V6864 factor

V1871 double V4368 factor V6865 double

V1872 double V4369 factor V6866 double

V1873 double V4370 factor V6867 double

V1874 double V4371 double V6868 double

V1875 double V4372 double V6869 double

V1876 double V4373 double V6870 double

V1877 double V4374 double V6871 double

V1878 double V4375 double V6872 double

V1879 double V4376 double V6873 double

V1880 double V4377 double V6874 double

V1881 double V4378 double V6875 double

V1882 double V4379 double V6876 double

V1883 double V4380 double V6877 double

V1884 double V4381 double V6878 double

V1885 double V4382 double V6879 double

V1886 double V4383 double V6880 double

V1887 double V4384 double V6881 double

V1888 double V4385 double V6882 double

V1889 double V4386 double V6883 double

V1890 double V4387 double V6884 double

V1891 double V4388 double V6885 double

V1892 double V4389 double V6886 double

V1893 double V4390 double V6887 double

V1894 factor V4391 double V6888 double

V1895 factor V4392 double V6889 double

V1896 factor V4393 double V6890 double

V1897 factor V4394 double V6891 double

V1898 factor V4395 double V6892 double

V1899 factor V4396 double V6893 double

V1900 factor V4397 double V6894 double

V1901 double V4398 double V6895 double

V1902 double V4399 double V6896 double

V1903 double V4400 double V6897 double

V1904 double V4401 double V6898 double

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V1905 double V4402 double V6899 double

V1906 double V4403 double V6900 double

V1907 double V4404 double V6901 double

V1908 double V4405 double V6902 double

V1909 double V4406 double V6903 double

V1910 double V4407 double V6904 double

V1911 double V4408 double V6905 double

V1912 double V4409 double V6906 double

V1913 double V4410 double V6907 double

V1914 double V4411 double V6908 double

V1915 double V4412 double V6909 double

V1916 double V4413 double V6910 double

V1917 double V4414 double V6911 factor

V1918 double V4415 double V6912 double

V1919 double V4416 double V6913 factor

V1920 double V4417 double V6914 factor

V1921 double V4418 double V6915 factor

V1922 double V4419 double V6916 factor

V1923 double V4420 double V6917 factor

V1924 double V4421 double V6918 factor

V1925 double V4422 double V6919 factor

V1926 double V4423 double V6920 factor

V1927 double V4424 double V6921 factor

V1928 double V4425 double V6922 factor

V1929 double V4426 double V6923 factor

V1930 double V4427 double V6924 factor

V1931 double V4428 double V6925 factor

V1932 double V4429 double V6926 factor

V1933 double V4430 double V6927 factor

V1934 double V4431 double V6928 factor

V1935 double V4432 double V6929 double

V1936 double V4433 double V6930 double

V1937 double V4434 double V6931 factor

V1938 double V4435 double V6932 double

V1939 double V4436 double V6933 double

V1940 double V4437 double V6934 double

V1941 double V4438 double V6935 double

V1942 double V4439 double V6936 double

V1943 double V4440 double V6937 double

V1944 double V4441 double V6938 double

V1945 double V4442 double V6939 double

V1946 double V4443 double V6940 double

V1947 double V4444 double V6941 double

V1948 double V4445 double V6942 double

V1949 double V4446 double V6943 double

V1950 double V4447 double V6944 double

V1951 double V4448 double V6945 factor

V1952 double V4449 double V6946 factor

V1953 double V4450 double V6947 double

V1954 double V4451 double V6948 double

V1955 double V4452 double V6949 double

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V1956 double V4453 double V6950 double

V1957 double V4454 double V6951 double

V1958 double V4455 double V6952 double

V1959 double V4456 double V6953 double

V1960 double V4457 double V6954 double

V1961 factor V4458 double V6955 double

V1962 factor V4459 double V6956 double

V1963 factor V4460 double V6957 double

V1964 factor V4461 double V6958 double

V1965 factor V4462 double V6959 double

V1966 factor V4463 double V6960 double

V1967 factor V4464 double V6961 double

V1968 double V4465 double V6962 double

V1969 double V4466 double V6963 double

V1970 double V4467 double V6964 double

V1971 double V4468 double V6965 double

V1972 double V4469 double V6966 double

V1973 double V4470 double V6967 double

V1974 double V4471 double V6968 double

V1975 double V4472 double V6969 double

V1976 double V4473 double V6970 double

V1977 double V4474 double V6971 double

V1978 double V4475 double V6972 double

V1979 double V4476 double V6973 double

V1980 double V4477 double V6974 double

V1981 double V4478 double V6975 double

V1982 double V4479 double V6976 double

V1983 double V4480 double V6977 double

V1984 double V4481 double V6978 double

V1985 double V4482 double V6979 double

V1986 double V4483 double V6980 double

V1987 double V4484 double V6981 double

V1988 double V4485 double V6982 double

V1989 double V4486 double V6983 double

V1990 double V4487 double V6984 double

V1991 double V4488 double V6985 double

V1992 double V4489 double V6986 double

V1993 double V4490 double V6987 double

V1994 double V4491 double V6988 double

V1995 double V4492 double V6989 double

V1996 double V4493 double V6990 double

V1997 double V4494 double V6991 double

V1998 double V4495 double V6992 double

V1999 double V4496 double V6993 double

V2000 double V4497 double V6994 double

V2001 double V4498 double V6995 double

V2002 double V4499 double V6996 double

V2003 double V4500 double V6997 double

V2004 double V4501 double V6998 double

V2005 double V4502 double V6999 double

V2006 double V4503 double V7000 double

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V2007 double V4504 double V7001 double

V2008 double V4505 double V7002 double

V2009 double V4506 double V7003 double

V2010 double V4507 double V7004 double

V2011 double V4508 double V7005 double

V2012 double V4509 double V7006 double

V2013 double V4510 double V7007 double

V2014 double V4511 double V7008 double

V2015 double V4512 double V7009 double

V2016 double V4513 double V7010 double

V2017 double V4514 double V7011 double

V2018 double V4515 double V7012 double

V2019 double V4516 double V7013 double

V2020 double V4517 double V7014 double

V2021 double V4518 double V7015 double

V2022 double V4519 double V7016 double

V2023 double V4520 double V7017 double

V2024 double V4521 double V7018 double

V2025 double V4522 double V7019 double

V2026 double V4523 double V7020 double

V2027 double V4524 double V7021 double

V2028 double V4525 double V7022 double

V2029 double V4526 double V7023 double

V2030 double V4527 double V7024 double

V2031 double V4528 double V7025 double

V2032 double V4529 double V7026 double

V2033 double V4530 double V7027 double

V2034 double V4531 double V7028 double

V2035 double V4532 double V7029 double

V2036 double V4533 double V7030 double

V2037 double V4534 double V7031 double

V2038 double V4535 double V7032 double

V2039 double V4536 double V7033 double

V2040 double V4537 double V7034 double

V2041 double V4538 double V7035 double

V2042 double V4539 double V7036 double

V2043 double V4540 double V7037 double

V2044 double V4541 double V7038 double

V2045 double V4542 double V7039 double

V2046 double V4543 double V7040 double

V2047 double V4544 factor V7041 double

V2048 double V4545 double V7042 double

V2049 double V4546 double V7043 double

V2050 double V4547 double V7044 double

V2051 double V4548 factor V7045 double

V2052 double V4549 factor V7046 double

V2053 double V4550 double V7047 double

V2054 double V4551 double V7048 double

V2055 double V4552 double V7049 double

V2056 double V4553 double V7050 double

V2057 double V4554 double V7051 double

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V2058 double V4555 double V7052 double

V2059 double V4556 double V7053 double

V2060 double V4557 double V7054 double

V2061 double V4558 double V7055 double

V2062 double V4559 double V7056 double

V2063 double V4560 double V7057 double

V2064 double V4561 double V7058 double

V2065 double V4562 double V7059 double

V2066 double V4563 double V7060 double

V2067 double V4564 double V7061 double

V2068 double V4565 double V7062 double

V2069 double V4566 double V7063 double

V2070 double V4567 double V7064 double

V2071 double V4568 double V7065 double

V2072 double V4569 double V7066 double

V2073 double V4570 double V7067 double

V2074 double V4571 double V7068 double

V2075 double V4572 double V7069 double

V2076 double V4573 double V7070 double

V2077 double V4574 double V7071 double

V2078 double V4575 double V7072 double

V2079 double V4576 double V7073 double

V2080 double V4577 double V7074 double

V2081 double V4578 double V7075 double

V2082 double V4579 double V7076 double

V2083 double V4580 double V7077 double

V2084 double V4581 double V7078 double

V2085 double V4582 double V7079 double

V2086 double V4583 double V7080 double

V2087 double V4584 double V7081 double

V2088 double V4585 double V7082 double

V2089 double V4586 double V7083 double

V2090 double V4587 double V7084 double

V2091 double V4588 double V7085 double

V2092 double V4589 double V7086 double

V2093 double V4590 double V7087 double

V2094 double V4591 double V7088 double

V2095 double V4592 double V7089 double

V2096 double V4593 double V7090 double

V2097 double V4594 double V7091 double

V2098 double V4595 double V7092 double

V2099 double V4596 double V7093 double

V2100 double V4597 double V7094 double

V2101 double V4598 double V7095 double

V2102 double V4599 double V7096 double

V2103 double V4600 double V7097 double

V2104 double V4601 double V7098 double

V2105 double V4602 double V7099 double

V2106 double V4603 double V7100 double

V2107 double V4604 double V7101 double

V2108 double V4605 double V7102 double

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V2109 double V4606 double V7103 double

V2110 double V4607 double V7104 double

V2111 double V4608 double V7105 double

V2112 double V4609 double V7106 double

V2113 double V4610 double V7107 double

V2114 double V4611 double V7108 double

V2115 double V4612 double V7109 double

V2116 double V4613 double V7110 double

V2117 double V4614 double V7111 double

V2118 double V4615 double V7112 double

V2119 double V4616 double V7113 double

V2120 double V4617 double V7114 double

V2121 double V4618 double V7115 double

V2122 double V4619 double V7116 double

V2123 double V4620 double V7117 double

V2124 double V4621 double V7118 double

V2125 double V4622 double V7119 double

V2126 double V4623 double V7120 double

V2127 double V4624 double V7121 double

V2128 double V4625 double V7122 double

V2129 double V4626 double V7123 double

V2130 double V4627 double V7124 double

V2131 double V4628 double V7125 double

V2132 double V4629 double V7126 double

V2133 double V4630 double V7127 double

V2134 double V4631 double V7128 double

V2135 double V4632 double V7129 double

V2136 double V4633 double V7130 double

V2137 double V4634 double V7131 double

V2138 double V4635 double V7132 double

V2139 double V4636 double V7133 double

V2140 double V4637 double V7134 double

V2141 double V4638 double V7135 double

V2142 double V4639 double V7136 double

V2143 double V4640 double V7137 double

V2144 double V4641 double V7138 double

V2145 double V4642 double V7139 double

V2146 double V4643 double V7140 double

V2147 double V4644 double V7141 double

V2148 double V4645 double V7142 double

V2149 double V4646 double V7143 double

V2150 double V4647 double V7144 double

V2151 double V4648 double V7145 double

V2152 double V4649 double V7146 double

V2153 double V4650 double V7147 double

V2154 double V4651 double V7148 double

V2155 double V4652 double V7149 double

V2156 double V4653 double V7150 double

V2157 double V4654 double V7151 double

V2158 double V4655 double V7152 double

V2159 double V4656 double V7153 double

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V2160 double V4657 double V7154 double

V2161 double V4658 double V7155 double

V2162 double V4659 double V7156 double

V2163 double V4660 double V7157 double

V2164 double V4661 double V7158 double

V2165 double V4662 double V7159 double

V2166 double V4663 double V7160 double

V2167 double V4664 double V7161 double

V2168 double V4665 double V7162 double

V2169 double V4666 double V7163 double

V2170 double V4667 double V7164 double

V2171 factor V4668 double V7165 double

V2172 factor V4669 double V7166 double

V2173 factor V4670 double V7167 double

V2174 factor V4671 double V7168 double

V2175 double V4672 double V7169 double

V2176 double V4673 double V7170 double

V2177 double V4674 double V7171 double

V2178 factor V4675 double V7172 double

V2179 factor V4676 double V7173 double

V2180 factor V4677 double V7174 double

V2181 double V4678 double V7175 double

V2182 double V4679 double V7176 double

V2183 double V4680 double V7177 double

V2184 double V4681 double V7178 double

V2185 double V4682 double V7179 double

V2186 double V4683 double V7180 double

V2187 double V4684 double V7181 double

V2188 double V4685 double V7182 double

V2189 double V4686 double V7183 double

V2190 double V4687 double V7184 double

V2191 double V4688 double V7185 double

V2192 double V4689 double V7186 double

V2193 double V4690 double V7187 double

V2194 double V4691 factor V7188 double

V2195 double V4692 double V7189 double

V2196 double V4693 double V7190 double

V2197 double V4694 double V7191 double

V2198 double V4695 double V7192 double

V2199 double V4696 double V7193 double

V2200 double V4697 double V7194 double

V2201 double V4698 double V7195 double

V2202 double V4699 double V7196 double

V2203 double V4700 double V7197 double

V2204 double V4701 double V7198 double

V2205 double V4702 double V7199 double

V2206 double V4703 factor V7200 double

V2207 double V4704 factor V7201 double

V2208 double V4705 factor V7202 double

V2209 double V4706 double V7203 double

V2210 double V4707 double V7204 double

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V2211 double V4708 double V7205 double

V2212 double V4709 double V7206 double

V2213 double V4710 double V7207 double

V2214 double V4711 double V7208 double

V2215 double V4712 double V7209 double

V2216 double V4713 double V7210 double

V2217 double V4714 double V7211 double

V2218 double V4715 double V7212 double

V2219 double V4716 double V7213 double

V2220 double V4717 double V7214 double

V2221 double V4718 double V7215 double

V2222 double V4719 double V7216 double

V2223 double V4720 double V7217 double

V2224 double V4721 double V7218 double

V2225 double V4722 double V7219 double

V2226 double V4723 double V7220 double

V2227 double V4724 double V7221 double

V2228 double V4725 double V7222 double

V2229 double V4726 double V7223 double

V2230 double V4727 double V7224 double

V2231 double V4728 double V7225 double

V2232 double V4729 double V7226 double

V2233 double V4730 double V7227 double

V2234 double V4731 double V7228 double

V2235 double V4732 double V7229 double

V2236 double V4733 double V7230 double

V2237 double V4734 double V7231 double

V2238 double V4735 double V7232 double

V2239 double V4736 double V7233 double

V2240 double V4737 double V7234 double

V2241 double V4738 double V7235 double

V2242 double V4739 double V7236 double

V2243 double V4740 double V7237 double

V2244 double V4741 double V7238 double

V2245 double V4742 double V7239 double

V2246 double V4743 double V7240 double

V2247 double V4744 double V7241 double

V2248 double V4745 double V7242 double

V2249 double V4746 double V7243 double

V2250 double V4747 double V7244 double

V2251 double V4748 double V7245 double

V2252 double V4749 double V7246 double

V2253 double V4750 double V7247 double

V2254 double V4751 double V7248 double

V2255 double V4752 double V7249 double

V2256 double V4753 double V7250 double

V2257 double V4754 double V7251 double

V2258 double V4755 double V7252 double

V2259 double V4756 double V7253 double

V2260 double V4757 double V7254 double

V2261 double V4758 double V7255 double

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V2262 double V4759 double V7256 double

V2263 double V4760 double V7257 double

V2264 double V4761 double V7258 double

V2265 double V4762 double V7259 double

V2266 double V4763 double V7260 double

V2267 double V4764 double V7261 double

V2268 double V4765 double V7262 double

V2269 double V4766 double V7263 double

V2270 double V4767 double V7264 double

V2271 double V4768 double V7265 double

V2272 double V4769 double V7266 double

V2273 double V4770 double V7267 double

V2274 double V4771 double V7268 double

V2275 double V4772 double V7269 double

V2276 double V4773 double V7270 double

V2277 double V4774 double V7271 double

V2278 double V4775 double V7272 double

V2279 double V4776 double V7273 double

V2280 double V4777 double V7274 double

V2281 double V4778 double V7275 double

V2282 double V4779 double V7276 double

V2283 double V4780 double V7277 double

V2284 double V4781 double V7278 double

V2285 double V4782 double V7279 double

V2286 double V4783 double V7280 double

V2287 double V4784 double V7281 double

V2288 double V4785 double V7282 double

V2289 double V4786 double V7283 double

V2290 double V4787 double V7284 double

V2291 double V4788 double V7285 double

V2292 double V4789 double V7286 double

V2293 double V4790 double V7287 double

V2294 double V4791 double V7288 double

V2295 double V4792 double V7289 double

V2296 double V4793 double V7290 double

V2297 double V4794 double V7291 double

V2298 double V4795 double V7292 double

V2299 double V4796 double V7293 double

V2300 double V4797 double V7294 double

V2301 double V4798 double V7295 double

V2302 double V4799 double V7296 double

V2303 double V4800 double V7297 double

V2304 double V4801 double V7298 double

V2305 double V4802 double V7299 double

V2306 double V4803 double V7300 double

V2307 double V4804 double V7301 double

V2308 double V4805 double V7302 double

V2309 double V4806 double V7303 double

V2310 double V4807 double V7304 double

V2311 double V4808 double V7305 double

V2312 double V4809 double V7306 double

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V2313 double V4810 double V7307 double

V2314 double V4811 double V7308 double

V2315 double V4812 double V7309 double

V2316 double V4813 double V7310 double

V2317 double V4814 double V7311 double

V2318 double V4815 double V7312 double

V2319 double V4816 double V7313 double

V2320 double V4817 double V7314 double

V2321 double V4818 double V7315 double

V2322 double V4819 double V7316 double

V2323 double V4820 double V7317 double

V2324 double V4821 double V7318 double

V2325 double V4822 double V7319 double

V2326 double V4823 double V7320 double

V2327 double V4824 double V7321 double

V2328 double V4825 double V7322 double

V2329 double V4826 double V7323 double

V2330 double V4827 double V7324 double

V2331 double V4828 double V7325 double

V2332 double V4829 double V7326 double

V2333 double V4830 double V7327 double

V2334 double V4831 double V7328 double

V2335 double V4832 double V7329 double

V2336 double V4833 double V7330 double

V2337 double V4834 double V7331 double

V2338 double V4835 double V7332 double

V2339 double V4836 double V7333 double

V2340 double V4837 double V7334 double

V2341 double V4838 double V7335 double

V2342 double V4839 double V7336 double

V2343 double V4840 double V7337 double

V2344 double V4841 double V7338 double

V2345 double V4842 double V7339 double

V2346 double V4843 double V7340 double

V2347 double V4844 double V7341 double

V2348 double V4845 double V7342 double

V2349 double V4846 double V7343 double

V2350 double V4847 double V7344 double

V2351 double V4848 double V7345 double

V2352 double V4849 double V7346 double

V2353 double V4850 double V7347 double

V2354 double V4851 double V7348 double

V2355 double V4852 double V7349 double

V2356 double V4853 double V7350 double

V2357 double V4854 double V7351 double

V2358 double V4855 double V7352 double

V2359 double V4856 double V7353 double

V2360 double V4857 double V7354 double

V2361 double V4858 double V7355 double

V2362 double V4859 double V7356 double

V2363 double V4860 double V7357 double

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V2364 double V4861 double V7358 double

V2365 double V4862 double V7359 double

V2366 double V4863 double V7360 double

V2367 double V4864 double V7361 double

V2368 double V4865 double V7362 double

V2369 double V4866 double V7363 double

V2370 double V4867 double V7364 double

V2371 double V4868 double V7365 double

V2372 double V4869 double V7366 double

V2373 double V4870 double V7367 double

V2374 double V4871 double V7368 double

V2375 double V4872 double V7369 double

V2376 double V4873 double V7370 double

V2377 double V4874 double V7371 double

V2378 double V4875 double V7372 double

V2379 double V4876 double V7373 double

V2380 double V4877 double V7374 double

V2381 double V4878 double V7375 double

V2382 double V4879 double V7376 double

V2383 double V4880 double V7377 double

V2384 double V4881 double V7378 double

V2385 double V4882 double V7379 double

V2386 double V4883 double V7380 double

V2387 double V4884 double V7381 double

V2388 double V4885 double V7382 double

V2389 double V4886 double V7383 double

V2390 double V4887 double V7384 double

V2391 double V4888 double V7385 double

V2392 double V4889 double V7386 double

V2393 double V4890 double V7387 double

V2394 double V4891 double V7388 double

V2395 double V4892 double V7389 double

V2396 double V4893 double V7390 double

V2397 double V4894 double V7391 double

V2398 double V4895 double V7392 double

V2399 double V4896 double V7393 double

V2400 double V4897 double V7394 double

V2401 double V4898 double V7395 double

V2402 double V4899 double V7396 double

V2403 double V4900 double V7397 double

V2404 double V4901 double V7398 double

V2405 double V4902 double V7399 double

V2406 double V4903 double V7400 double

V2407 double V4904 double V7401 double

V2408 double V4905 double V7402 double

V2409 double V4906 double V7403 double

V2410 double V4907 double V7404 double

V2411 double V4908 double V7405 double

V2412 double V4909 double V7406 double

V2413 double V4910 double V7407 double

V2414 double V4911 double V7408 double

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V2415 double V4912 double V7409 double

V2416 double V4913 double V7410 double

V2417 double V4914 double V7411 double

V2418 double V4915 double V7412 double

V2419 double V4916 double V7413 double

V2420 double V4917 double V7414 double

V2421 double V4918 double V7415 double

V2422 double V4919 double V7416 double

V2423 double V4920 double V7417 double

V2424 double V4921 double V7418 double

V2425 double V4922 double V7419 double

V2426 double V4923 double V7420 double

V2427 double V4924 double V7421 double

V2428 double V4925 double V7422 double

V2429 double V4926 double V7423 double

V2430 double V4927 double V7424 double

V2431 double V4928 double V7425 double

V2432 double V4929 double V7426 double

V2433 double V4930 double V7427 double

V2434 double V4931 double V7428 double

V2435 double V4932 double V7429 double

V2436 double V4933 double V7430 double

V2437 double V4934 double V7431 double

V2438 double V4935 double V7432 double

V2439 double V4936 double V7433 double

V2440 double V4937 double V7434 double

V2441 double V4938 double V7435 double

V2442 double V4939 double V7436 double

V2443 double V4940 double V7437 double

V2444 double V4941 double V7438 double

V2445 double V4942 double V7439 double

V2446 double V4943 double V7440 double

V2447 double V4944 double V7441 double

V2448 double V4945 factor V7442 double

V2449 double V4946 factor V7443 double

V2450 double V4947 factor V7444 double

V2451 double V4948 factor V7445 double

V2452 double V4949 factor V7446 double

V2453 double V4950 factor V7447 double

V2454 double V4951 factor V7448 double

V2455 double V4952 factor V7449 double

V2456 double V4953 factor V7450 double

V2457 double V4954 factor V7451 double

V2458 double V4955 factor V7452 double

V2459 double V4956 factor V7453 double

V2460 double V4957 factor V7454 double

V2461 double V4958 factor V7455 double

V2462 double V4959 factor V7456 double

V2463 double V4960 factor V7457 double

V2464 double V4961 factor V7458 double

V2465 double V4962 factor V7459 double

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V2466 double V4963 factor V7460 double

V2467 double V4964 double V7461 double

V2468 double V4965 factor V7462 double

V2469 double V4966 double V7463 double

V2470 double V4967 double V7464 double

V2471 double V4968 double V7465 date

V2472 double V4969 double V7466 double

V2473 double V4970 factor V7467 double

V2474 double V4971 factor V7468 double

V2475 double V4972 factor V7469 double

V2476 double V4973 factor V7470 double

V2477 double V4974 factor V7471 double

V2478 double V4975 factor V7472 double

V2479 double V4976 factor V7473 double

V2480 double V4977 factor V7474 double

V2481 double V4978 double V7475 double

V2482 double V4979 factor V7476 double

V2483 double V4980 factor V7477 double

V2484 double V4981 factor V7478 double

V2485 double V4982 factor V7479 double

V2486 double V4983 factor V7480 double

V2487 double V4984 factor V7481 double

V2488 double V4985 factor V7482 date

V2489 double V4986 factor V7483 double

V2490 double V4987 double V7484 double

V2491 double V4988 double V7485 factor

V2492 double V4989 double V7486 double

V2493 double V4990 double V7487 double

V2494 double V4991 double V7488 double

V2495 double V4992 double V7489 double

V2496 double V4993 double V7490 double

V2497 double V4994 double V7491 double