ballparam direct mal

8/18/2019 BallParam Direct Mal

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Moly-Cop Tools, Version 3.0

About the BallParam_Direct Spreadsheet ...

Scope :

The BallParam_Direct spreadsheet was designed to be sed ! in "on#n"tion with the BallSim_Direct spreadsheet inthe $tning$ o% s"h si&lator to an' spe"i%i" a"tal grinding s'ste&. The atta"hed spreadsheets pro(ide an e%%e"ti(ealgorith& to sear"h %or the set o% para&eter (ales that best approxi&ate the &odel response to the a"talexperi&ental &easre&ents obtained %ro& a Pilot or Full Scale Ball Mill) operating in "lose "ir"it with h'dro"'"lonesin a Direct Circuit Configuration. BallParam_Direct "o&bines in a single appli"ation the si&ltaneos "losre o% theCircuit Mass Balance) pls the e(alation o% the "orresponding Classifier Constants *see About ... inCycloSim_Single+ and the esti&ation o% the "hara"teristi" re !rin"ing Parameters) as an alternati(e to the"on"atenated se o% the BallBal_Direct and BallParam_pen spreadsheets) as originall' proposed in Moly-Cop

Tools# $ersion %.&.

T'eoretical Frame(or) :

The re%eren"e ball &ill &odel is des"ribed in the About ... wor,sheet o% the BallSim_Direct spreadsheet. -i&ilarl') there%eren"e h'dro"'"lone &odel is des"ribed in the About ... wor,sheet o% the CycloSim_Single spreadsheet.

n the basis o% Pilot or Full Scale Data) li,e those t'pi"all' obtained %ro& sa&pling "a&paigns arond "ontinos

grinding/"lassi%i"ation "ir"its) the BallParam_Direct rotine allows %or the "al"lation o% all αs and βs *in"lding d"rit+ !pls the "lassi%i"ation para&eters *p% ) d50" and & see CycloSim_Single+ that &ini&ie the least!sares b*ecti+e

Function:

3 n

φ wi, *f i, ! f i,+/f i,2 *3+

, 1 i 1

where the f i,s represent the experi&ental sie distribtion o% the &ill prod"t *as 7 retained on s"reen i) i 1)n+ and

the f i,s represent the &odel response %or ea"h "orresponding f i,) %or a gi(en set o% &odel para&eters. lso) the

sbs"ript , 1) 2) 3 represents the "'"lone %eed) o(er%low and nder%low strea&s) respe"ti(el'. The αs and βs

*in"lding d"rit+ and the abo(e listed "lassi%i"ation para&eters that 'ield the &ini&& possible (ale o% φ are so

"onsidered to be representati(e o% the parti"lar ore and test "onditions nder anal'sis.

This e(alation &ethodolog' i&poses the "ondition that the h'dro"'lones per%or& in good agree&ent with the Plitt,s


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Moly-Cop Tools, Version 3.0

About the BallParam_Direct Spreadsheet ...

Data /nput an" Program 0ecution :

ew Moly-Cop Tools sers are in(ited to explore the brie% "o&&ents inserted in ea"h rele(ant "ell) rendering thewhole tiliation o% the wor,sheets sel%!explanator'. (entall') the ser &a' wish to re&o(e the (iew o% the "o&&entsb' sele"ting Tools ptions $ie( Comments 8one.


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Moly-Cop Tools / 315659221.xlsx 04/25/2016 / 02:43:38

Sample 8; 1

eig'ting Factors :

Streams :


6/65Moly-Cop Tools / 315659221.xlsx 04/25/2016 / 02:4

b*. Function : @$A>?

Classifier Constants :

a1 a2 a3 a4 λ

A;D A;D A;D A;D A;D

8ote : =rrent "al"lations are not (alid) i% -CB has not been rn a%ter the last data &odi%i"ation.


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00


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Moly Cop Tools / 315659221 xlsx 04/25/2016


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Circuit Type D/9CT

9emar)s ase =ase xa&ple

Mill Dimensions an" perating Con"itions 32G5 alls

%%. ?ia&. %%. Cength -peed =harge alls Enterstitial Ci%t 0 (er%illing

%t %t 7 =riti"al ;illing)7 ;illing)7 -lrr' ;illing)7 ngle) *H+ 550 -lrr'

18.0 22.0 G5.0 36.00 36.00 100.00 36.0 3825 8et Po(er

rp& 13.54 10.0 7 Cosses

745& !ross )

Cyclone Dimensions inc'es an" perating Pressure psi>&ber ?ia&eter Ieight Enlet Bortex pex psi

10 14.8 44.3 3.85 6.69 1.96 10.00 20.0G8G402

Default Values: 44.3 3.G 5.2 2.6 2.2343%113

P9/M8TA> S/E D/Fres' Fee" Mill Disc'arge Cyclone Fee

i PA9AM_Direct : Simultaneous Mass Balance Closure an" !rin"ing P


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10 14 1180 1416 30.64 G.11 56.15 !36.0G 6.81 96.4G !6.G2 6.81

11 20 850 1001 15.00 3.48 52.6G !23.14 4.3G 94.4G !4.31 4.3G

12 28 600 G14 40.60 9.42 43.25 !46.39 8.G6 91.22 !8.64 8.G6

13 35 425 505 55.04 12.GG 30.48 !64.88 12.25 85.83 !12.08 12.25

14 48 300 35G 1G.93 4.16 26.32 !28.G1 5.42 G1.15 !5.34 5.4215 65 212 252 39.61 9.19 1G.13 !48.G8 9.21 63.08 !9.08 9.21

16 100 150 1G8 12.80 2.9G 14.16 !19.G0 3.G2 43.93 !3.6G 3.G2

1G 150 106 126 8.84 2.05 12.11 !13.19 2.49 25.91 !2.46 2.49

18 200 G5 89 G.9G 1.85 10.26 !11.28 2.13 14.45 !2.10 2.13

19 2G0 53 63 14.G0 3.41 6.85 !18.80 3.55 11.10 !3.50 3.55

20 400 38 45 15.4G 3.59 3.26 !19.81 3.G4 8.58 !3.69 3.G4

21 !400 0 19 14.05 3.26 0.00 !28.12 5.31 0.00 !5.24 5.31

Totals 71%.&& %&&.&& -543.24 %&&.&& -3.24 %&&.&&

= Soli"s 95.00 G0.00

Slurry Density# tonm1 2.960 1.953

eig'ting Factor 1.000


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Sample 8; 1

C'arge Mill C'arge eig't# tons Apparent

$olume# all -lrr' Density

&3 =harge Enterstitial x"ess ton/&3

5G.18 265.90 44.66 0.00 5.431

Fee"rate# ton'r "ry 431.0

re Density# tonm1 3.30Balls Density# tonm1 G.G5

Ma)e-up Ball Si


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60.95 ABC@D 60.95 0.00 0.00 100.00

56.58 ABC@D 56.58 0.00 0.00 100.00

4G.82 ABC@D 4G.82 0.00 0.00 100.00

35.5G ABC@D 35.5G 0.00 0.00 100.00

30.15 ABC@D 30.15 0.69 0.16 99.8420.94 ABC@D 20.94 1.81 0.42 99.42

1G.22 ABC@D 1G.22 14.44 3.35 96.0G

14.G3 ABC@D 14.G3 40.82 9.4G 86.60

12.60 ABC@D 12.60 58.66 13.61 G2.99

9.05 ABC@D 9.05 28.02 6.50 66.49

5.31 ABC@D 5.31 2G.41 6.36 60.13

0.00 A;D A;D 0.00 259.16 60.13 0.00

@9F @9F 71%.&& %&&.&&

50.30 80.00 36.001.540 2.260 1.335

1.000 1.000 1.000


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Moly-Cop Tools / 315659221.xlsx / ;lowsheet 04/25/2016 / 02:43:38

Simulation 8; &

9emar)s ase =ase xa&ple

4G.2G 7 -olids

7 ! -ie 18

psi 10.00 @$A>? P&

A o% ='"lones 10

Bortex 6.69 =ir". Coad !122.88

pex 1.96 2.000 p% ABC@D

A;D pw

7 -olids 48.46

Jater)

ABC@D

ton'r 71%.& Jater) ABC@D

;80 6066

!ross ) 745&.&,Jh/ton *Kross+ 9.86 7 alls 36.00

Jio *&etri"+ 7 =riti"al G5.00

7 -olids G0.00

7 -olids 54.45

Moly-Cop Tools TM (Version 3.0)

&3/hr

&3/hr

&3/hr


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Sample 8; %

BA>>PA9AM=on(entional =losed =ir"it Krinding -i&lator

e&ar,s : ase =ase xa&ple

C/9C?/T MASS BA>A8CConfiguration : D!"CT

;resh


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Sample 8; %



C>ASS/F/9S P9F9MA8C

>&ber o% ='"lones : 10 perating =onditions :

='"lone ?i&ensions) in : ;eed ;lowrate) &3/hr ABC@D

?ia&eter 14.G6 Pressre) psi 10.00

Ieight 44.29 ?50 *"orr.+) &i"rons 100.1

Enlet 3.85 Jater '!Pass) 7 A;DBortex 6.69 -olids '!Pass) 7 200.0

pex 1.96 Plitts Para&eter 1.00

re ?ensit') ton/&3 3.30 =ir"lating Coad) 7 !122.9

Mass Balance aroun" t'e Classifiers

Si


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Sample 8; %



BA>> M/>> P9F9MA8C

%%. ?ia&eter) %t 18.0 4250

%%. Cength) %t 22.0 3825

-peed) 7 =riti"al G5.0 Throghpt) ton/hr ABC@D

pp. ?ensit') ton/&3 5.43 7 -olids *b' weight+ G0.0

=harge Ce(el) 7 36.0 -p. nerg') ,Jh/ton ABC@Dalls ;illing) 7 36.0 ed"tion atio ABC@D

Ci%t ngle) *H+ 36.0 rbiters ;low >&ber ABC@D

Si


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=lass

Page 18

>&ber o% ='"lones 10

=lassi%ier ?i&ensions) in"hes.

?= h ?E ? ?@

14.G6 44.29 3.85 6.69 1.96

=lassi%ier =onstants

a2 a3 a4 λ ='"lone ='"lone ='"lone

A;D A;D A;D A;D A;D ;eed @%low %low

=ir"lating Coad) =C !1.228806694 -olids) tons A;D A;D 43.1

-lrr' -plit) - A;D Jater) &3/hr A;D A;D 48.08

='"lone Pressre) %t A;D -lrr') tons A;D A;D 91.183316

='"lone Pressre) lb/in2 10.00 -lrr') &3/hr A;D A;D 61.143922

=orre"ted =t -ie) d50") &i"rons 100.11483686 -olids ?ensit') ton/&3 3.30 3.30 3.30

Jater '!Pass A;D -lrr' ?ensit') ton/&3 A;D A;D 1.4912899

;ines '!Pass 2 7 -olids *b' (ol&e+ A;D A;D 21.360432

=oarse '!Pass 0 7 -olids *b' weight+ 54.45 48.46 4G.2G

Plitts Para&eter 17 Passing *&odel+ 7 Passing *exp+

pening


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=lass

Page 19

1G 106 126.0952 1.41GG644961 1G.22 rr:509 96.0G

18 G5 89.162GG3 1.5394585905 14.G3 rr:509 86.60

19 53 63.04G601 1.64634G04 12.60 rr:509 G2.99

20 38 44.8GG611 1.G329G3953G 9.05 rr:509 66.49

21 0 19 1.8G6G626448 5.31 rr:509 60.13


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=lass

Page 20

*Jeighted rror+L2

='"lone ='"lone ='"lone

;eed @%low %low

1 1 1

ABC@D ABC@D ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@DABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D


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=lass

Page 21

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

ABC@D rr:509 ABC@D

(erall

ABC@D ABC@D ABC@D ABC@D


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-i

-ele"tion ;n"tion :

alpha01 alpha02 alpha11 alpha12 alpha2 d"rit

0.2698856 0 0.0496196 1 1 10601.802

i


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i#

Page 23

rea,age ;n"tion :

eta00 eta01 eta1 eta2

1 0 2 3

i


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i#

Page 24

i


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i#

Page 25

1

1 1

0.4982699 1 1

0.2488249 0.4993GG8 1 1

0.12456G5 0.25 0.500623 1 1

0.0622062 0.1248444 0.25 0.4993GG8 1 1

0.0311419 0.0625 0.125155G 0.25 0.500623 1 1

0.0155516 0.0312111 0.0625 0.1248444 0.25 0.4993GG8 1 1

0.00G9945 0.0160444 0.0321289 0.0641GG8 0.1285155 0.256G111 0.5140619 1 1


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i#

Page 26

00.501G301 0

0.249445 0.5006222 0

0.12425G4 0.2493GG8 0.4993GG 0

0.0623612 0.1251556 0.250623 0.5006222 0

0.0310644 0.0623444 0.1248443 0.2493GG8 0.4993GG 0

0.0155903 0.0312889 0.062655G 0.1251556 0.250623 0.5006222 0

0.00G55G1 0.015166G 0.0303G11 0.060666G 0.1214845 0.242666G 0.4859381 0

0.00G9945 0.0160444 0.0321289 0.0641GG8 0.1285155 0.256G111 0.5140619 1 0

1 1 1 1 1 1 1 1 0

FMT


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FMT

Page 2G


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FMT

Page 28


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FMT

Page 29

3 0.195G550582 0.4404488809 0 0 0 0 0 0 0 0

4 0.12499225 0.2812325625 0.5026038G81 0 0 0 0 0 0 0

5 0.061524G89G 0.138430GG69 0.24G3961219 0.49G3824905 0 0 0 0 0 0

6 0.0312480625 0.0G03081406 0.1256509695 0.25261G5095 0.5026038G81 0 0 0 0 0

G 0.0155G69112 0.0350480501 0.0626360111 0.12592G8236 0.2505440443 0.503G112943 0 0 0 0

8 0.00G3838014 0.0166135532 0.029690858G 0.0596925819 0.118G634349 0.238GG032G5 0.481111G495 0 0 09 0.004126G283 0.0092851386 0.0165939058 0.0333615505 0.0663G56233 0.1334462018 0.2688882505 0.518200692 0 0

10 0.0018459504 0.0041533883 0.00G422G14G 0.0149231455 0.029690858G 0.0596925819 0.1202GG93G4 0.231G99308 0.481111G495 0

11 0.0009988909 0.00224G5045 0.0040166205 0.0080G52952 0.016066482 0.032301180G 0.0650854639 0.125432526 0.2603418558 0.501G301038

12 0.0004942G88 0.00111212G2 0.00198G5346 0.0039958G88 0.00G9501385 0.0159835153 0.032206083 0.06206G4G4 0.1288243321 0.2482698962

13 0.000249G22G 0.0005618G61 0.0010041551 0.0020188238 0.0040166205 0.0080G52952 0.0162G1366 0.0313581315 0.0650854639 0.125432526

14 0.0001241546 0.0002G934G8 0.0004992355 0.00100369G9 0.0019969418 0.004014G91G 0.0080896294 0.0155903114 0.03235851GG 0.062361245G

15 6.184581!005 0.0001391531 0.00024868G 0.0004999GGG 0.000994G4G9 0.0019999109 0.004029G328 0.00GG6609 0.0161189313 0.0310643599

16 3.103864!005 6.98369!005 0.0001248089 0.0002509245 0.0004992355 0.00100369G9 0.00202240G4 0.00389G5GG9 0.0080896294 0.0155903114

1G 1.546145!005 3.4G883!005 6.21G1G5!005 0.0001249944 0.00024868G 0.0004999GGG 0.00100G4332 0.0019415225 0.004029G328 0.00GG6609

18 G.G59660!006 1.G4592!005 3.120222!005 6.2G3112!005 0.0001248089 0.0002509245 0.0005056018 0.0009G43945 0.00202240G4 0.00389G5GG919 3.G61341!006 0.000008463 1.512465!005 3.040G66!005 6.049861!005 0.000121630G 0.0002450804 0.0004G23183 0.000980321G 0.0018892G34

20 0.0000039G9 8.95282!006 0.000016 3.216G52!005 0.000064 0.0001286G01 0.0002592646 0.000499654 0.00103G0583 0.0019986159

1 1 1 1 1 1 1 1 1 1


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FMT

Page 30

9 1.144213062G !9.6G6819429 G2.8682593113 !130.6G034383 120.646526226 !51.390264485 5.5958635301 2.G044353299 !0.G5G002139G 0.0504004989

10 !1.G2128068G 24.55G66839 !418.6G931039 1054.5G641968 !142G.4808811 1058.1458G49 !445.14234188 108.90G40168 !12.664318614 0.651803G311

11 !44.G22G35434 80.44393G091 G8G5.G6884218 !25620.36G018 4141G.8523253 !35G82.506911 1G53G.9GG0332 !5093.8463544 G29.908592636 !51.9G4528256

12 15230.9889182 !52812.519995 !1853808.0855 63995G2.66088 !1068843G.645 9459G05.2G105 !4G3G1G6.3414 14068G5.8G8G1 !20693G.04G85 15360.5GG0343

13 !990018.31316 !6068G38.5432 43319416G.581 !12958326G3.6 19906G6913 !16523G8009 G80464828.G34 !21G982231.33 29828040.5969 !19G5924.3323

14 !133482640.11 1648494581.1 !24136454269 58391061603 !G6331068194 5462163615G !220G1530684 5131316800.58 !55G094982.53 2562269G.820415 !1588G41004.3 14430164G5G !12G111892999 250551051G5G !2635392G2603 142919056801 !3G264502248 296338G612.24 410341826.0G4 !55625493.G53

16 15954408349 !1.2G32N011 84210GG6G805 !1.3G518N012 8631GG04202 !295023288539 !82G19G08520 69495339404 !126G1696931 65G18112G.98

1G 92G08420938 !6.G188N011 2190G908216 !4.93153N012 332953G50G6 6913G2054344 !1.24840N012 501G2G438455 !G008621G9G4 2G19814538.61

18 !1.02094N012 6.GG949N012 !3.08905N013 3.482313N013 !6.93664N012 !1.821G1N013 1.558830N013 !5.16944N012 631G18533G6G !21G32093465

19 !1.5GG54N012 9.64042N012 !3.G9213N013 3.480584N013 G124303688G !3.38601N013 2.315413N013 !6.89394N012 GG8448090109 !2G610543018

20 0.9G43696868 1.3GG4535389 !5.41G9G1685G 1G.1188256GG9 !20.G40G4623G 1G.0516693245 !5.G262122944 2.6431543402 0.806821863 1.010G31458

FMT


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FMT

Page 31

11 12 13 14 15 16 1G 18 19 20

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

ABC@D 0 0 0 0 0 0 0 0 0

0 ABC@D 0 0 0 0 0 0 0 0

0 0 ABC@D 0 0 0 0 0 0 0

0 0 0 ABC@D 0 0 0 0 0 0

0 0 0 0 ABC@D 0 0 0 0 0

0 0 0 0 0 ABC@D 0 0 0 0

0 0 0 0 0 0 ABC@D 0 0 0

0 0 0 0 0 0 0 ABC@D 0 0

0 0 0 0 0 0 0 0 ABC@D 0

0 0 0 0 0 0 0 0 0 1

FMT


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Page 32

11 12 13 14 15 16 1G 18 19 20

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

1 0 0 0 0 0 0 0 0 0

340.925031134 1 0 0 0 0 0 0 0 0!G3G00.959593 !132.603G10G8 1 0 0 0 0 0 0 0

3G02252.G0302 5G9G.28965552 !65.G8G4G9205 1 0 0 0 0 0 0

!900148G5.864 !13121G.1G201 1812.929G2469 !48.414055158 1 0 0 0 0 0

1345181836.25 18G2GG8.G5053 !292G8.106194 105G.19314908 !40.819815209 1 0 0 0 0

!1385692G96G !18660546.222 318699.494925 !14085.4G8445 GG2.209140398 !36.5G31GG805 1 0 0 0

1062G8511948 139455668.8G2 !2550652.02 131132.994912 !9162.42GGG85 633.82G3G0146 !34.188806G98 1 0 0

!619368546890 !G95554380.14 15391253.48G8 !893366.11286 G5215.4G8303G !6804.6398266 54G.23615232G !32.29106G66 1 0

52568816G054 6G3012030.223 !13131GG0.999 GG5308.81G29G !66G85.43985 6206.38563426 !514.04G34553 31.29106G6603 !1 1

11 12 13 14 15 16 1G 18 19 20

0.3503259549 0.35083G9583 0.3495104995 0.3468508335 0.3432G316G2 0.33906319G8 0.3344335655 0.3295364986 0.3245GG4 0

11 12 13 14 15 16 1G 18 19 20

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

FMT


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Page 33

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0.4982638889 0 0 0 0 0 0 0 0 0

0.251G361111 0.501G301038 0 0 0 0 0 0 0 0

0.1251555556 0.249444982G 0.5006222222 0 0 0 0 0 0 0

0.0623444444 0.12425G4394 0.2493GGGGG8 0.4993GG0025 0 0 0 0 0 0

0.0312888889 0.062361245G 0.1251555556 0.25062299G5 0.5006222222 0 0 0 0 0

0.0155861111 0.0310643599 0.0623444444 0.1248442506 0.2493GGGGG8 0.4993GG0025 0 0 0 0

0.00G8222222 0.0155903114 0.0312888889 0.062655G494 0.1251555556 0.25062299G5 0.5006222222 0 0 00.003G91666G 0.00G55G0934 0.015166666G 0.0303G11285 0.060666666G 0.1214845141 0.242666666G 0.4859380562 0 0

0.0040111111 0.00G994463G 0.0160444444 0.0321288G15 0.0641GGGGG8 0.1285154859 0.256G111111 0.5140619438 1 0

1 1 1 1 1 1 1 1 1 0

11 12 13 14 15 16 1G 18 19 20

!G.80115!006 !1.358G3!008 2.84G292!011 5.854246!011 !2.89998!013 G.608191!014 2.G5G06G!014 G.52GGG4!016 !1.3!01G 0

6.9013G9!006 5.938516!008 !2.41060!011 !1.1115G!010 !G.3101G!012 !6.4G582!013 !4.545G2!014 !1.36449!015 1.G0!016 0

!1.12433!005 !1.26639!00G 2.121936!010 2.248186!010 2.255182!011 1.6G4252!012 8.91831G!014 2.G93011!015 !2.6!016 0

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1.G60522!005 6.95G140!008 1.881616!008 1.4G15G3!009 1.083849!010 G.118205!012 3.G09616!013 1.1G6611!014 !5.2!016 0

!0.0001411395 !0.000000G81 !4.08089!008 !1.8918G!009 !9.23886!011 !4.6G935!012 !2.320GG!013 !G.GG613!015 !9.1!016 0

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0.0006949151 5.1893G8!006 1.168190!00G !2.4G090!010 !3.5GGG4!010 !3.39446!011 !1.90005!012 !5.91399!014 1.21!014 0

!0.00469514G9 !5.24514!005 !5.2223G!00G 0.000000055 G.553341!009 6.0G2919!010 3.33536G!011 1.06262G!012 !1.4!013 0

1.0921620G8G 0.001460281G 6.955155!006 !0.000002124 !2.54548!00G !1.98925!008 !1.08943!009 !3.49280!011 4.20!012 0

!362.6G6260G6 0.6252495883 !0.0014555532 0.0005G05446 0.00006G234 5.234191!006 2.865541!00G 9.196126!009 !1.1!009 0

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1135383G.9151 293323.492425 1G148.60G98 93G.932819251 38.90223G83G1 0.GG32969281 !0.012982G993 !0.000396132G 0.0001099 0

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413514G4.684 2G410413.3853 3860229.14298 522119.2413 63922.5G08423 6682.3124G4GG 555.840515423 32.2615414884 1.0002528 0

0.9998364539 0.999999G385 1.0000000161 1.0000000014 1.0000000001 1 1 1 1 1

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4 0.2405065329

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6 0.2959052032

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8 0.33101G9859

9 0.34125G3028

10 0.34G4313384

11 0.3503259549

12 0.35083G958313 0.3495104995

14 0.3468508335

15 0.3432G316G2

16 0.33906319G8

1G 0.3344335655

18 0.3295364986

19 0.3245GG4081

20 0

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3 2.3652121648 !2.29055136G5 0.4250293358 1.6G05086084 !2.3991285829 1.9294536215 !0.8646902538 0.2284141104 !0.02G239G302 0.0014864643

4 !2.0559239182 3.41G330353G !1.8988120563 !3.293193G62 6.065302G1G1 !4.6G45G55G58 2.03G1880304 !0.51GG994031 0.06230635G6 !0.0033265999

5 1.1820639539 !3.1291051412 3.4885GGG486 3.0119595312 !8.G50841038G G.394581383 !3.1G5643963G 0.G91630916 !0.0932850636 0.004G96G533

6 !0.G45G6910G2 2.9025G152G6 !5.6459262506 !0.5951623683 9.G5609G8022 !10.2G356334G4 4.G6002251G1 !1.1602011818 0.132210G884 !0.0063335605

G 0.5820G44293 !3.1138291082 9.83G6341899 !5.9094602535 !G.05G3626601 12.4650031593 !G.0881050429 1.89295G8104 !0.2031824G59 0.008563554

8 !0.681308G263 4.641G49224G !22.18298G631 26.496615G135 !G.922650G !10.69268446 10.283G88641G !3.564381995 0.450260GG01 !0.015GG212699 1.144213062G !9.6G6819429 G2.8682593113 !130.6G034383 120.646526226 !51.390264485 5.5958635301 2.G044353299 !0.G5G002139G 0.0504004989

10 !1.G2128068G 24.55G6683904 !418.6G931039 1054.5G641968 !142G.4808811 1058.1458G49 !445.14234188 108.90G40168 !12.664318614 0.651803G311

11 !44.G22G35434 80.44393G0911 G8G5.G6884218 !25620.36G018 4141G.8523253 !35G82.506911 1G53G.9GG0332 !5093.8463544 G29.908592636 !51.9G4528256

12 15230.9889182 !52812.519995 !1853808.0855 63995G2.66088 !1068843G.645 9459G05.2G105 !4G3G1G6.3414 14068G5.8G8G1 !20693G.04G85 15360.5GG0343

13 !990018.31316 !6068G38.5432 43319416G.581 !12958326G3.6 19906G6913 !16523G8009 G80464828.G34 !21G982231.33 29828040.5969 !19G5924.3323

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15 !1588G41004.3 14430164G5G !12G111892999 250551051G5G !2635392G2603 142919056801 !3G264502248 296338G612.24 410341826.0G4 !55625493.G53

16 15954408349 !12G319650604 84210GG6G805 !1.3G518N012 8631GG04202 !295023288539 !82G19G08520 69495339404.2 !126G1696931 65G18112G.98

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19 !1.5GG54N012 40418640433 !3.G9213N013 3.480584N013 G124303688G !3.38601N013 2.315413N013 !6.89394N012 GG8448090109 !2G610543018

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9 ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D





14 ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D15 ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D ABC@D


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3 2G.369 ABC@D ABC@D 0.000 ABC@D ABC@D

4 18.G05 ABC@D ABC@D 0.000 ABC@D ABC@D



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8 28.18G ABC@D ABC@D 0.000 ABC@D ABC@D9 30.644 ABC@D ABC@D 0.000 ABC@D ABC@D

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18 14.69G ABC@D ABC@D 0.000 ABC@D ABC@D

19 15.4G3 ABC@D ABC@D 0.000 ABC@D ABC@D


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16 14.160 ABC@D ABC@D ABC@D ABC@D ABC@D1G 12.110 ABC@D ABC@D ABC@D ABC@D ABC@D





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11 12 13 14 15 16 1G 18 19 20

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

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11 12 13 14 15 16 1G 18 19 20

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

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11 12 13 14 15 16 1G 18 19 20

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2.656610!005 2.15552G!00G !1.42G55!009 !5.108118!010 !5.11041!011 !3.G199G!012 !1.951G15!013 !6.11111G!015 4.442892!016 0

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2.221018!005 1.352831!00G !9.GG953!009 !1.124GG0!009 !9.5G989!011 !6.65024!012 !3.4G2221!013 !1.083649!014 G.28855G!016 0

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!0.0001411395 !0.000000G81 !4.08089!008 !1.8918G0!009 !9.23886!011 !4.6G935!012 !2.320G66!013 !G.GG6126!015 !9.12090!016 00.0006949151 5.1893G8!006 1.168190!00G !2.4G0901!010 !3.5GGG4!010 !3.39446!011 !1.900049!012 !5.913989!014 1.214353!014 0

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1.0921620G8G 0.001460281G 6.955155!006 !0.000002124 !2.54548!00G !1.98925!008 !1.089428!009 !3.492G95!011 4.19G0G6!012 0

!362.6G6260G6 0.6252495883 !0.0014555532 0.0005G05446 0.00006G234 5.234191!006 2.865541!00G 9.196126!009 !1.08428!009 0

33521.4G130G9 203.4891G2046 1.4385G56938 !0.095268664 !0.011G69G263 !0.0009259885 !5.0G4489!005 !1.6242G1!006 2.013994!00G 0

!118G43.06282 92.249GG9956 34.4828638898 3.G316352513 0.3899805624 0.0315928586 0.001G36552G 5.524445!005 !G.68964!006 0

!4654G2.81881 21861.5102408 11G9.11093265 52.6560512581 2.013416919G 0.0883369G36 0.0048963946 0.0001539G34 !2.6488G!005 0

1135383G.9151 293323.492425 1G148.60G98 93G.932819251 38.90223G83G1 0.GG32969281 !0.012982G993 !0.000396132G 0.0001098968 0

4288GGG1.G32 154G540.24314 130422.131G3G 10540.15G0336 G2G.409990G91 36.G131932589 1.0043G25932 0.0002120322 0.0002655356 0

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11 12 13 14 15 16 1G 18 19 20

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