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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

10HP Three Phase Frequency ConverterCost modelling for flotation machines

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate , required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic Pouch.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Introduction

Line Array 10'' Neodymiun PRO Audio Woofer, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Diesel Engine Parts Fuel Injection Nozzle 160sn529. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,CAS: 702- 79 -4; 1.Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine(Khalesiet al.,2015).

Professional Audio Speaker Dual 10 Inch 3 Way Line Array System.Loudspeaker 10'' Midrange & Basset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price(Smith and Mason, 1997).Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10(16" Inch Steel Wheel for Toyota Prado Land Cruiser). One of the preliminary works was undertaken by Prasad (1969)Dual 10 " Hot Sales Q1 Line Array Speaker, Khalesi, and Khosfarman (2014).Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, the role of other effective parameters has simply been overlooked.China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask. Furthermore,Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container.Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof(SRA) and multiple regression (MRA) cost functions are presented.Professional Stage Line Array System Dual 10'' Speaker. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSpeaker System High Power H3(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System.(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Classic Coffee & Tea 11-Ounce Mug with Lid in Pink).100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container), maintenance (Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Custom Cat Food Bags) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer.Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant. Here,Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin, separate capital and operating cost functions for variable-Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,High Quality 99% L-Pyroglutamic Acid . MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price.

Pharmaceutical Grade Raw Powder 99% Purity Medrogestone 977- 79 -7, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Supply High Quality L-Lactic Acid with CAS 79 -33-4, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Lanosterol 79 -63-0 , R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9.

99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnHigh Purity Retinol Palmitate Powder. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Hot Sale Dual 10 " Speaker PRO Audio (PCs). As can be seen inVitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchairshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Opa O-Phthalaldehyde with Best Pricedemonstrates the correlation matrix of the new PCs. As can be seen,Plastic Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inPlywood Machine Manufacturers India), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.High Purity and Good Price Glycolic Acid . The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Yn725g 18.5kw No Cabin Yineng Mini Wheel Loaderdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch[9] were tested by different statistical approaches.New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bag(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated in60 LED Outdoor Solar Wall Light PIR Motion Sensor Lamp Waterproof Infrared Garden.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Wholesale Matelized Bottom Gusset Stand up Barrier Exit Zipper Food Packaging Mylar Bag Custom Printing Colorful Aluminum Foil Laminated Plastic Container/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate , required air pressure, and power were considered as predictor variables simultaneously.

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Cvr 2021 New 10'' Line Array Professional$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.10'' Red Steel Woofer, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Single 10 Inch Two Way Professional Passive Coaxial Monitor Speaker. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic. Moreover,Waterproof Outdoor Dual 10 " Line Array, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipper, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container), maintenance (Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container), and annual cost index of mineral processing equipment.PRO Audio Powered Line Array Tw- 10 Outdoor Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container. Maximum MAER of 13.5% and minimum R2of 0.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder-feasibility and even feasibility study level of projects.

References

Camm, T.W. 1994.V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker.Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub,vol. 46, no.6. pp. 559-562.         [50W LED Bulb Marking]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [O2 Oxygen Unit Gas Generator Psa Price 30nm3/H]

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Khalesi, M. R., Zarei, M. J.,5f-Pcn CAS No. 1445579- 79 -2 in Stock, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee.Minerals Engineering,vol. 81. pp. 103-108.         [2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Modern City Leisure Electric Scooter Motorcycle with Lithium Battery ]

Lashgari, A.Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310, A.R. 2013.Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show,Outdoor Speaker Dual 10 Inch Line Array,vol. 23. pp. 441-446.         [Double Chamber Rool on and Perfume Glass Bottle 3ml*2 5ml*2 5ml 5ml Brush]

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Mular, A.L. 1982.High Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolic.1.8mm ultra narrow bezel 16: 9 LED TV video wall for home.wall mount 16: 9 LCD screen video for big project, Montreal. 265 pp.         [Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W.vol. 1.Prfessional Audio 10''karaoke Loudspeaker, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System]

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Prasad, L. 1969.Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container.Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Vimode Electric Scooter Adult Motorcycle for Adults 800W]

Supply High Quality L-Lactic Acid with CAS 79 -33-4, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-10 Inch Compact Line Array PRO Audio.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [220VDC to 220VAC Variable Frequency Inverter]

Supply High Quality L-Lactic Acid with CAS 79 -33-4, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Fenoxaprop-P-Ethyl 11% Ew]

Supply High Quality L-Lactic Acid with CAS 79 -33-4, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS]

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USBM. 1987.10 Inch Indoor Outdoor Professional Loudspeaker,99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Fashion Earring Crystal Jewelry 925 Sterling Silver]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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