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2000-03 Spring 2000

Simulation of the WAG 2003 Football Schedule

Chris Genda, Loan Ngoyen, Valerie Viahos, John Williams

12 A( 1)

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Project Designers

Matt Ladky Brian Slater

Andrew Doyle John Porter

Executive Summary

The Western Athletic Conference (WAC) consists of ten universities in the

western and southwestern United States of America. It stretches from the easternmost,

Louisiana Tech University in Ruston, Louisiana, to the westernmost, University of

Hawaii in Honolulu, Hawaii. This presents problems for the conference, as it must

schedule each year's football schedule while taking each school's travel budget into

consideration. For the 2003 football season, our objective was to minimize the number of

miles that each team would have to travel, so as to try and be as fair as possible to each

university. Also, the WAC scheduling requirements must be met in the solving of this

problem. Using a linear modeling software package, CPLEX, we came up with a

solution, which minimized the number of travel miles for each team. This basic

formulation resulted in the following solution, 42,987 miles total for all schools, with an

average of 4299 miles for each school and a standard deviation of 2329 miles. We then

ran a MiniMax procedure, which would correct the large deviation in the schools' travel

miles. This solution yielded 51,573 total miles, with an average of 5157 miles and

standard deviation of 1254 miles.

WAC, I

1. Introduction The Western Athletic Conference (WAC) consists of ten universities in the

western and southwestern United States. The 2003 football schedule will consist of Southern Methodist University, University of Nevada, Fresno State University, University of Hawaii, Louisiana Tech, Tulsa University, University of Texas at El Paso, Boise State University, San Jose State University and Rice University. The distances between the universities makes travelling costs a major concern for each school. Minimizing the miles traveled by each school is the focal point of the schedule.

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1. Southern Methodist 2. Tulsa 3. Nevada 4. Boise State 5. Fresno State 6. San Jose State 7. Hawaii 8. Rice 9. Texas-El Paso 10. Louisiana Tech

2. WAC Scheduling Requirements The WAC football schedule has various requirements which must be followed.

These requirements are necessary for a fully functional schedule for each school.

1) Every team will play 11 games including 7 conference games and 4 non-conference games.

2) The schedule will be built in a 12 week timeframe (each team will have 1 bye week).

3) Each team will play either 5 or 6 home games. 4) Each team will play either 3 or 4 home conference games. 5) No team will play more than 2 home or away games in a row. 6) The final game for each team is a conference game. 7) The first 2 weeks of the season are non-conference games. 8) No two teams will play each other more than once. 9) No team will play more than one game a week.

WAC, 2

The initial output for the schedule gives only the conference games. We assume that schools schedule their own non-conference games but must adhere to the requirements mentioned before. Another stipulation to scheduling non-conference games is all teams must play two home and two away games.

3. Formulation A total of 1300 variables and 454 constraints were entered into a CPLEX program

in order to A) minimize the total travel miles and B) to produce a feasible schedule within the before-mentioned requirements.

3.1 Indices Fresno State = FS Southern Methodist = SMU San Jose State = SJ Hawaii = HI Nevada = NV Rice = Rice Boise State = BSU Tulsa = T Louisiana Tech = LT Texas El Paso = UTEP

3.2 Variables FSSMUj = 1 if Fresno State plays at SMU in week j and 0 otherwise (j = 1. . .. 12) SJm = Total miles San Jose has traveled BSUtotalj = Total number of games Boise St has played in week (j = 1... 12)

3.3 Constraints (See constraint groups on pages ) Group 1: Sets the travel miles for each team

2600SMUHI + 1659SMUFS + 1793SMUSJ + 243SMIJRice + 292SMULT + 1933SMUNV + 1710SMUBSU + 312SMUT + 640SMtJUTEP - SMUm = 0

The constraint for SMU is shown here; this must be done for all 10 teams.

Group 2: Sets how many times a team plays on the road against a specific team.

SMUFS1-i-SMUFS2-i-SMUFS3 +SMtJFS4-i-SMUFS5+SMUFS6+SMtJFS7+SMUFS8+SMIJFS9+SMUFS1O+ SMUFS11-1-SMtJFS12-SMUFS = 0 SMUHI1+SMUHI2+SMIJHI3+SMUHI4+SMUHI5+SMUHI6+SMUHI7+SMUHI8+SMUHI9+SMUHI1O+ SMUHI11-i-SMtJHI12-SMUHI = 0 SMtJSJ1+SMUSJ2+SMTJSJ3+SMIJSJ4+SMIJSJ5+SMUSJ6+SMUSJ7+SMIJSJ8+SMUSJ9+SMUSJ1O+ SMUSJ11+SMUSJ12-SMUSJ = 0

The constraints for SMU playing Fresno, Hawaii, and San Jose are shown here; this must be done for all 10 teams.

WAC, 3

Group 3: Sets the total amount of games a team has each week

SMUFS1 + FSSMtJ1 + SMUNV1 + NVSMU1 + SMtJBSU1 + BSUSMU1 + SMIJSJ1 +SJSMU1 + SMUT1 + TSMU1 + SMUHI1 + HISMU1 + SMUUTEP1 + UTEPSMU1 + SMURice1 + RiceSMU1 + SMULT1 + LTSMU1 - SMUtotall = 0

SMUFS2 + FSSMU2 + SMUNV2 + NVSMU2 + SMUBSU2 + BSUSMU2 + SMUSJ2 +SJSMU2 + SMUT2 + TSMU2 + SMUHI2 + HISMTJ2 + SMTJUTEP2 + UTEPSMU2 + SMURice2 + RiceSMU2 + SMULT2 + LTSMU2 - SMUtota12 = 0

This shows how many times SMU plays in weeks 1 and 2; this must be done for all 10 teams for all 12 weeks.

Group 4: REQUIREMENT 1 Sets the number of conference games equal to seven.

SMUtotall+SMUtotal2+SMUtotal3 +SMUtotal4+SMUtotal5+SMUtotal6+SMUtotal7+ SMtJtotal 8 +SMUtotal9+SMUtotall 0+SMUtotalll+SMUtotall2 = 7

This sets SMU's total to 7. This must be done for all 10 teams.

Group 5: REQUIREMENT 9 ji Keeps each team from playing more than one game a week

SM(JFS1+SMUNV1+SMtJT1+SMUBSU1+SMUSJ1+SMUHI1+SMUtJTEP1+SMURIce1-'-SMULT1-1-FSSMU1 +NVSMU1+TSMU1+BSUSMU1 +SJSMU1 +HISMU1+UTEPSMU1 +RiceSMU1 +LTSMU1<=1

SMUFS2 +SMUNV2 +SMUT2 +SMU13SU2 +SMUSJ2 +SMUHI2 -i-SMUUTEP2 +SMURice2+SMULT2 + FSSMU2+NVSMU2+TSMU2+BSUSMU2+SJSMU2+HISMU2-1-UTEPSMU2-l-RiceSMU2+LTSMU2<=1

This constraint keeps SMU from playing more than once in weeks 1 and 2. This must be done for all 10 teams for all 12 weeks.

Group 6: REQUIREMENT 8 Keeps each team from playing another team more than once.

SMUNV + NVSMU <= 1

This keeps SMU from playing Nevada more than once. This must be done for each team against all other teams.

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WAC, 4

Group 7: REQUIREMENT 4 Sets road conference games for each team to either 3 or 4. By doing this it also sets home conference games at 3 if the team plays 4 road games and 4 if they play 3 road games.

3 SMUFS1+SMUNV1+SMUT1+SMUBSU1+SMUSJ1+SMIJHI1+SMUUTEP1+SMURice1+SMULT1+ SMUFS2+SMUNV2+SMtJT2+SMUBSU2+SMUSJ2+SMUHI2+SMUUTEP2+SMURice2+SMULT2+ SMUFS3+SMUNV3+SMUT3+SMUBSU3+SMUSJ3+SMTJHI3+SMUUTEP3+SMURIce3+SMULT3+ SMUFS4 +SMUNV4+SMtJT4+SMUBSU4+SMUSJ4+SMUHI4+SMUUTEP4+SMURice4+SMULT4+ SMUFS5 +SMUNV5+SMtJT5+SMtJBSU5+SMUSJ5+SMtJHI 5+SMUUTEP5+SMURice5+SMULT5 + SMUFS6 +SMUNV6+SMUT6+SMUBSU6+SMUSJ6+SMUHI 6 +SMUtJTEP6 +SMURice6+SMTJLT6 + SMUFS7 +SMUNV7 +SMUT7+SMUBSU7 +SMUSJ7 +SMIJHI7+SMtJUTEP7+SMURIce7+SMULT7 + SMUFS8+SMUNV8+SMUT8+SMUBSU8+SMUSJ8+SMUHI 8+SMtJUTEP8+SMURIce8+SMULT8+ SMUFS9+SMUNV9+SMUT9+SMUBSU9+SMUSJ9+SMUHI 9+SMUtJTEP9+SMURIce9+SMULT9 + SMUFS1O+SMUNV1O+SMUT1O+SMtJBSU1O+SMUSJ1O+SMUHI1O+SMUUTEP1O+SMtJRicelO+ SMULT1O+SMUFS11+SMUNV11+SMUT11+SMtJBSU11+SMtJSJ11+SMUHI11+SMUtJTEP11+ SMURice11+SMULT11-i-SMUFS12+SMUNV12+SMUT12+SMUBSU12+SMtJSJ12+SMUHI12+ SMUUTEP12 +SMURice12 +SMULT12&4

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This sets SMU's road conference games at either 3 or 4. This must be done for all 10 teams

Group 8: REQUIREMENT 5 Ensures no team plays more than 2 road games in a row.

UTEPSMU9+UTEPFS9+UTEPNV9+t.JTEPT9+UTEPBSU9+UTEPSJ9+UTEPHI9+ UTEPRice9+UTEPLT9+UTEPSMU1O+UTEPFS1O+UTEPNV1O+UTEPT1O+UTEPBSU1O+ tJTEPSJ1 O-i-UTEPHI1O+UTEPRiceJ. O+UTEPLT]. O+UTEPSMU11+UTEPFS11+UTEPNV11+ UTEPT11+UTEPBSU11+UTEPSJ11+UTEPHI11+UTEPRice11+UTEPLT11 <= 2

UTEPSMU1O+UTEPFS1O+UTEPNV1O+UTEPT1O-4-UTEPBSU1O+UTEPSJ1O+UTEPHI1O+ . UTEPRice1O+UTEPLT1O+UTEPSMtJ11-4-UTEPFS11+UTEPNV11+UTEPT11+UTEPBSU11+

UTEPSJ11+UTEPHI11-i-UTEPRice11+UTEPLT11+UTEPSMU12+UTEPFS12+UTEPNV12+ UTEPT12+UTEPBSU12+UTEPSJ12+UTEPHI12+UTEPRice12+UTEPLT12 <= 2

This shows UTEP is limited to 2 road games in a row in weeks 9-11 and 10-12. This must be done for all three week combinations for all 10 teams.

A 3.4 Bounds

CO14Vç Only two different sets of bounds are used in the formulation.

The first set keeps the teams from playing a conference game in the first two weeks. (Requirement 7)

SMUtotall = 0 SMUtota12 = 0

This shows SMU will not play a conference game in the first two weeks. This is done for all 10 teams

WAC, 5

The second set of bounds makes sure each team plays a conference game in the final week of the season. (Requirement 6).

SMTJtota112 = 1

This sets a SMU conference game in week 12. This is done for all 10 teams

4. Results

Team Miles Traveled in 2003

SMU 1175

Tulsa 1840

Rice 2834

San Jose 2957

Fresno 3467

UTEP 4228

La Tech 5569

Boise St 5960

Nevada 6107

Hawaii 8850

Total Miles 42987

Average 4299

Std Deviation 2329

For the schedule for the WAC in 2003 see page 8

The number of miles traveled by all of the teams in the WAC is 42,987; an average of 4299 for each team. Not surprisingly, Hawaii accumulated the most miles with 8850. Tulsa and Southern Methodist both travel under 2000 miles. This is most likely due to their centralized location among the teams in the WAC.

This schedule gives a wide range of miles traveled between teams. To make it more even in the miles traveled, a minimax approach was used. We wanted to minimize the maximum amount of miles a certain team would have to travel to achieve a smaller dispersion of miles traveled for each team.. In this case, Hawaii traveled 8850 miles and Tulsa traveled 1840, which is a large discrepancy and could be an unfair advantage for Tulsa. Using this approach, we got the following output:

WAC, 6

Team Miles Traveled in 2003

Fresno 3212

UTEP 3783

Nevada 4181

Boise St 4824

Rice 5099

La Tech 5126

SMU 5802

San Jose 5956

Tulsa 6090

Hawaii 1 7500

Total Miles 51573

Average 5157

Std Deviation 1254

For the Minimax schedule for 2003 see page 9

While Hawaii still travels the most miles, there is less dispersion among the miles for each team. The number of miles traveled is now 51,573; an average of 5,157 for each school. The standard deviation of miles traveled drops considerably with this new schedule.

4.1. Comparing the Two Schedules

With the new approach to making the schedule SMU and Tulsa went from traveling the least to traveling nearly the most. SMU went from traveling exclusively in its own region (Rice, Louisiana Tech, and UTEP), to making almost all of its road games on the west coast (UTEP, San Jose, Fresno, Boise State). Hawaii's miles drop by 1350 miles with the application of minimax. The least miles Hawaii could possibly hope to achieve is 5200. This number was attained by running an objective function of minimizing only Him (Hawaii travel miles).

5. Future Considerations

No actual dates are put forth right now for the season. Future considerations which may impact scheduling include: holidays, non-conference and inter-conference rivalries, homecomings, and stadium usage.

In normal football scheduling, if a team plays an away game against a certain team one year that team will play at home against that same team the next time those two play again (If in 2001 SMU plays at Rice, the next time Rice plays SMU the game will be at SMU). This type of standard is not accounted for in our scheduling as of now. If we

WAC, 7

were required to put this in, a C program would be used to develop a new set of variables and constraints. We would have to add to each variable a year (i.e SMUFS3, SMU playing at Fresno St. in week 3, would now have to become SMUFS3yearl, SMU plays at Fresno St. in week 3 of year 1). Numerous other considerations must be put in. To accommadate not playing the same school at home to years in a row, an if/then statement must be put into the C program.

If SMUFSyear1 = 1 4- j & ( &fr

Then SMUFSyear2 = 0 0 J l yl OP'

If a team does not play a certain team one year, those two teams should be scheduled to play the following year.

If SMtJHIyearl = 0 -'k'5tr VA 0 F *

Then SMUHI = 1 '' I F— pr'CV&J? e'c 3CLtck15)

Else HISMU=l CcujkL

Rivalries within the conference may require a specific date to be played on. Further, each school may require a home game on a certain weekend for events such as homecoming. However, decisions about homecoming follow decisions on a team schedule.

-

Schedule for the WAC 2003 season

- SMU Nevada UTEP San Jose Fresno St Boise St. Rice Tulsa La Tech Hawaii

1 at NC1 at NC1 at NC1 NC1 NC1 at NC1 NC1 N01 NCI at NC1

2 NC2 NC2 NO2 at NC2 at NC2 NC2 at NC2 at NC2 at NC2 NC2

3 at Rice at Tulsa at Fresno St Hawaii UTEP at NC3 SMU Nevada NO3 at San Jose

4 Tulsa at NC3 at NC3 at NC3 Rice OPEN at Fresno St at SMU at Hawaii La Tech

5 at NC3 Fresno St OPEN Rice at Nevada L HawaCi San Jose at La Tech Tulsa a, B

OPEN La Tech NC4 at Hawaii at Fresno St

7 TEP Fresno St Z1 Tulsa

8 NC4 at Hawaii at San Jose ___________ at NC3 NC4 at Tulsa at NC3

9 at SMU at Boise OPEN at La Tech at UTEP Rice OPEN

10 OPEN at Nevada OPEN at La Tech OPEN NC3 Boise NC4

11 Fresno at Boise NC4 La Tech at SMU Nevada Hawaii at NC4 at San Jose at Rice

12 at La Tech jSan JOSe at Rice at Nevada Boise at Fresno S UTEP Hawaii SMU at Tulsa

...........................................

2003 WAC schedule using Minimax

SMU Nevada UTEP San Jose Fresno St Boise St. Rice Tulsa La Tech Hawaii -

1 atNCl N01 atNCl atNCl NC1 atNCl atNCl atNCl atNCl NC1

2 NC2 at NC2 NC2 NC2 at NC2 NC2 NC2 at NC2 NO2 at NC2

3 at NC3 La Tech at Tulsa at Hawaii Boise at Fresno at NC3 UTEP at Nevada San Jose

4 at Fresno at Hawaii NO3 OPEN SMU NC3 Tulsa NC3 Nevada

51 NC4 at SJ OPEN Nevada at NC3 OPEN NC4 NC3 at N04 at NC3

6 at SJ NO3 Fresno SMU at UTEP at La Tech OPEN OPEN Boise N04

7 Nevada at SMU at Bo i se a NO3 at La Tech at Fresno Rice WA OPEN

8 OPEN Rice N04 OPEN

I

at Hawaii at UTEP NC4 at SMU

9 OPEN at Rice at Nevada Tulsa San Jose at Boise OPEN at UTEP

10 at Boise at NC4 at NC4 at Tulsa at La Tech SMU Hawaii San Jose Fresno St at Rice

11 at UTEP Rice SMU La Tech NC4 at NC4 at Nevada at Hawaii at SJ Tulsa

12 Hawaii UTEP at Nevada at BSU Rice San Jose at Fresno St La Tech at Tulsa at SMU

...........................................

minimize HIm + SMUm + FSm + SJm + Ricem + LTm + NVm + BSUm + Tm + UTEPm

*subject to 2600SMUHI + 1659SMUFS + 1793SMUSJ + 243SMURice + 492SMULT + 1933SMtJNV + 1710SMUBSU

312SMUT + 640SMUUTEP - SMUm = 0

01500FSHI + 1659FSSMU + 149FSSJ + 1768FSRice + 2085FSLT + 308FSNV + 731FSBSU 1563FST + 1019FSUTEP - FSm = 0

1700SJHI + 149SJFS + 1793SJSMtJ + 1890SJRice + 2206SJLT + 248SJNV + 670SJBSU 1696SJT + 1140SJUTEP - SJm = 0

2600RiceHI + 243RiceSMU + 1768RIceFS + 1890RiceSJ + 315RiceLT + 2067RiceNV + 1949RiceBSU 55lRiceT + 749RiceUTEP - Ricem = 0

02800LTHI + 492LTSMU + 2206LTSJ + 315LTRice + 2085LTFS + 2417LTNV + 2193LTBSU 811LTT + 1063LTUTEP - LTm = 0

102000NVHI + 1933NVSMU + 248NVSJ + 2067NVRice + 308NVFS + 2417NVLT + 422NVBSU 1752NVT + 1320NVtJTEP - NVm = 0

2100BSUHI + 171OBSUSMtJ + 670BSUSJ + 1949BSURice + 2193BSULT + 422BSUNV + 731BStJFS 1526BSUT + 1546BSUUTEP - BSUm = 0

02450TH1 + 312TSMU + 1696TSJ + 551TRice + 811TLT + 1752TNV + 1526TB5U 1563TFS + 917TUTEP - Tm = 0

02300tJTEPHI + 640UTEPSMU + 1140UTEPSJ + 749UTEPR1ce + 1063UTEPLT + 1320UTEPNV + 1546UTEPBSU 917UTEPT + 1019tJTEPFS - UTEPm = 0

1500HIFS + 2600HISMU + 1700HISJ + 2600HIRice + 2800H1LT + 2000HINV + 2100HIBSU 2450H1T + 2300HIUTEP - HIm = 0

SHIFS1l-HIFS2+HIFS3+HIFS4+HIFS5+HIFS6+HIFS7+HIFS8+HIFS9+HIFS1O+HIFS11+HIFS12_HIFS = 0 OHISMU1+HISMU2+HISMU3+HISMU4+HISMU5+HISMU6+HISMU7+HISMU8+HISMU9+HISMU10+HISMUll+HISMU12-HISMU = 0

HISJ1+HISJ2 +HISJ3 +HISJ4+HISJ5+HISJ6+HISJ7+HISJ8+HISJ9 +HISJ1O+HISJ11+HISJ12 -HISJ = 0 •HIRicel+HIRice2 +HIRice3 +HIRice4+HIRice5+HIRice6+HIRice7 +HIRice8+HIRice9+HIRicel O+HIRicell+HIRicel

HINV1-+-HINV2+HINV3+HINV4+HINV5+HINV6+HINV7+HINV8+HINV9+HINV1O+HINV11-i-HINV12-HINV = 0 •HIBSU1+HIBSU2+H IBSU3+ H IBSU4+ H IB SU5+ HIBSU6 +HIBSU7+HIBStJ8+HIB SU 9 +HIBStJ1O -I-HIBStJ11+HIBSU12 -HIBSU = 0

HIT1+HIT2+HIT3+HIT4+HIT5+HIT6+HIT7+HIT8+HIT9+HIT1O+HIT11+HIT12 -HIT = 0 •HIUTEP1+HIUTEP2+HIUTEP3+HIUTEP4+HIUTEP5+HIUTEP6-4-HIUTEP7+HIUTEP8+HIUTEP9+HIUTEP1O+HIUTEP11+HIUTEP1 .HILT1+HILT2+HILT3+HILT4+HILT5+HILT6+HILT7+HILT8+HILT9+HILT1O+HILT11+HILT12 -HILT = 0

•SMUFS1+SMUFS2+SMUFS3+SMUFS4+SMUFS5+SMUFS6+SMUFS7+SMUFS8+SMUFS9+SMUFS1O+SMUFS11+SMUFS12-SMUFS= 0 SMUHI1+SMUHI2+SMUHI3+SMUHI4+SMUHI5+SMUHI6+SMUHI7+SMUHI8+SMUHI9+SMUHI1O+SMUHI11+SMtJHI12-SMUHI = 0 I SMUSJ1+SMUSJ2+SMUSJ3+SMUSJ4+SMUSJ5+SMUSJ6+SMUSJ7+SMUSJ8+SMUSJ9+SMUSJ10+SMUSJ11+SMUSJ12_SMUSJ = 0

SMURice1-1-SMURice2+SMURice3+SMURice4+SMURice5+SMURice6+SMURice7-3-SMURice8+SMURice9+SMURice1O+SMURic •+SMURicel2-SMURice = 0

SMUNV1+SMUNV2+SMUNV3+SMtJNV4+SMUNV5+SMUNV6+SMUNV7+SMUNV8+SMUNV9+SMUNV1O+SMUNV11+SMUNV12-SMUNV = 0 •SMUBSU1+SMUBSU2+SMUBSU3+SMIJBSU4+SMUBSU5+SMUBSU6+SMUBSU7+SMUBSU8-I-SMUBSU9-I-SMUBSU1O+SMUBSU11+SMUBSU1

.SMUT1+SMUT2 +SMUT3 +SMUT4-I-SMUT5+SMUT6+SMUT7+SMUT8-1-SMUT9 +SMUT1O+SMUT11-i-SMUT12 -SMUT = 0 SMUUTEP1+SMUUTEP2+SMUUTEP3+SMUUTEP4+SMUUTEP5+SMUUTEP6+SMUUTEP7+SMUUTEP8+SMIJUTEP9+SMUUTEP1O+SMUUTE

.+SMUUTEp12-SMUUTEp = 0 SMULT1+SMULT2 +SMULT3 +SMULT4+SMULT5+SMULT6+SMULT7 4-SMULT8+SMULT9+SMULT1O+SMULT11+SMULT12 -SMULT = 0

.SJFS1+SJFS2+SJFS3+SJFS4+SJFS5+SJFS6+SJFS7+SJFS8+SJFS9+SJFS1O+SJFS11+SJFS12-SJFS = 0 •SJSMU1-l-SJSMU2+SJSMU3+SJSMtJ4+SJSMU5-1-SJSMU6+SJSMU7+SJSMU8+SJSMU9+SJSMU1O+SJSMU11+SJSMU12-SJSMU = 0

SJHI1+SJHI2+SJHI3+SJHI4+SJHI5+SJHI6+SJHI7+SJHI8+SJHI9+SJHI1O+SJHI11+SJHI12-SJHI = 0 •SJRicel+SJRice2 +SJRice3 +SJRice4+SJRice5+SJRice6+SJRice7+SJRice8+SJRice9+SJRicel 0+SJRicell+SJRicel

4PSJNV1+SJNV2+SJNV3+SJNV4+SJNV5+SJNV6+SJNV7+SJNV8+SJNV9+SJNV10+SJNV11+SJNV12-SJNV = 0 SJBSU1+SJBSU2+SJBSU3+SJBSU4+SJBSU5+SJBSU6+SJBSU7+SJBSU8-1-SJBSU9+SJBSU1O-l-SJBSU11+SJBSU12-SJBSU = 0

OSJT1+SJT2+SJT3+SJT4+SJT5+SJT6+SJT7+SJT8+SJT9+SJT10+SJT11+SJT12-SJT = 0 SJUTEP1+SJUTEP2+SJUTEP3+SJUTEP4+SJUTEP5+SJUTEP6+SJUTEP7+SJUTEP8+SJUTEP9+SJUTEP1O+SJIJTEP11+SJtJTEP1

•SJLT1+SJLT2+SJLT3 +SJLT4+SJLT5+SJLT6+SJLT7+SJLT8+SJLT9+SJLT1O+SJLT11+SJLT12 -SJLT = 0

•RiceFSl+RiceFS2+RiceFS3 +RiceFS4+RiceFS5+RiceFS6+RiceFS7 +RiceFS8+RiceFS9 +RiceFSlO+RiceFSll+RiceFSl RiceSMU1-4-RiceSMU2 +RiceSMU3 +RiceSMU4+RiceSMU5-f-RiceSMU6+RiceSMU7+RiceSMU8+RiceSMU9+RiceSMU1O+RiceSM

•-fRiceSMU12-RiceSMU = 0 RiceSJl+RiceSJ2+RiceSJ3+RiceSJ4+RiceSJ5+RiceSJ6+RiceSJ7+RiceSJ8+RiceSJ9+RiceSJlO4-RiceSJll+RiceSJl RiceHIl+RjceHI2+RiceHI3+RjceHI4+RiceHI5+RjceHI6+RiceHI7+RiceHI8+RiceHI9+RiceHIl0+RjceHIll+RiceHIl

•RiceNV1+RiceNV2+RiceNV3-1RiceNV4+RiceNV5+RiceNV6+RiceNV7+RiceNV8-fRiceNV9+RiceNV10+RiceNV11+RiceNV1 RiceBSU1+RiceBSU2+RiceBSU3 +RiceBSU4+RiceBSU5+RiceBSU6+RiceBSU7 +RiceBSU8+RiceBSU9+RiceBSU1 0+RiceBS

•+RiceBSU12..RiceBSU = 0 RiceTl+RiceT2+RiceT3+RiceT4+RiceT5+RiceT6+RiceT7+RiceT8+RiceT9+RiceTlO+RiceTll+RiceTl2 -RiceT = 0

•RiceUTEP1+RiceUTEP2+RiceUTEP3+RiceUTEP4+RiceUTEP5+RiceUTEP6+RiceUTEP7+RiceUTEP8+RiceUTEP9-s-RiceUTE -1-RiceUTEP11+RiceUTEP12-RiceUTEP = 0

•RiCeLT1+RiceLT2.fRiceLT3+RiceLT4+RiceLT5+RiceLT6+RiceLT7+RIceLT8-fRiceLT9+RIceLT1O+RIceLT11+RIceLT1

•NVFS1 -1-NVFS2 +NVFS3 +NVFS4+NVFS5+NVFS6 -1-NVFS7+NVFS8+NVFS9+NVFS1 O+NVFS11+NVFS12 -NVFS = 0 NVSMU1+NVSMtJ2+NVSMU3 +NVSMU4+NVSMU5+NVSMU6+NVSMU7+NVSMU8+NVSMU9+NVSMIJ1O+NVSMU11+NVSMU12-NVSMIJ = 0

•NVSJ1 +NvsJ2 +NvsJ3 +NvsJ4 +NvSJ5 +NVSJ6 +NVSJ7 -i-NVSJ8 +NVSJ9 +NVSJ1 0 +NVSJ1 1 +NVSJ12 -NVSJ = 0

.NVRicel+NVRice2+NVRice3+NVRice4+NVRice5+NVRice6+NVR±ce7-'-NVRice8+NVRice9+NVRIce1O+NVRicell+NVRIce1 NVHI1+NV}112+NVHI3+NVHI4+NVHI5+NVHI6+NVHI7+NVHI8+NVHI9+NVHI1O+NVHI11+NVHI12-NVHI = 0

. NVBStJ1+NVBSU2+NVBStJ3+NVBSU4+NVBSU5+NVBSU6+NVBSU7+NVBSU8+NVBSU9+NVBStJ1O+NVBSU11+NVBSU12-NVBSU = 0 = 0

•NtJTEP1+NUTEP2+NJtJTEP3+NVUTEP4+NVUTEP5+NVUTEP6+NVUTEP7+NVUTEP8+NVTJTEP9+NVUTEP1O+NVUTEP11+NVUTEP1 NVLT1+NVLT2+NVLT3+NVLT4+NVLT5+NVLT6+NVLT7+NVLT8+NVLT9+NVLT1O+NVLT11+NVLT12-NVLT = 0

.ESUFS1+BSUFS2 +BSUFS3 +BSUFS4+BSUFS5+BSUFS6+BSUFS7 +BSUFS8+BSUFS9+BSUFS1O+BSUFS11+BSUFS12 -BSUFS = 0

•BSUS1+BSUSMU2+BSUSMU3+BSUSMU4+BSUSMU5+BSUSMU6+BSUSMU7+BSUSMU8+BSUSMU9+BSUSMU10+BSUSMU11+BSUSM1J1

SBSUSJ1+BSUSJ2+BSUSJ3+BSUSJ4+BSUSJ5+BSUSJ6+BSUSJ7+BSUSJ8+BSUSJ9+BSUSJ1O+BSUSJ11+BSUSJ12 -BSUSJ = 0 BSURice1+BSURice2 +BSURice3 +BSURIce4+BSURIce5+BSURice6+BSURIce7+BStJRice8+BSUR1ce9+BSURice1O+BSURic

. +BSURice12-BSURice = 0 BStJNV1+BSUNV2+BSUNV3+BStJNV4+BSUNV5+BSUNV6+BSUNV7+BStJNV8+BSUNV9+BSUNV1O+BSUNV11+BSUNV12-BSUNV = 0

•BSUHI 1+BSUHI2+BSUHI3+BSUHI4+BSUHI5+BSUHI6+BSUHI7 +BSUHI 8 -i-BSUHI9+BSUHI1 O+BSUHI11+BSUHI12 -BSUHI = 0 BSUT1+BSUT2 +BSUT3 +BSUT4+BSUT5-i-BSUT6+BSUT7 +BSUT8+BSUT9+BSUT1O+BSUT11+BSUT12 -BSUT = 0

•BSUUTEP1+BSUUTEP2+BSUUTEP3+BSUUTEP4+BSUUTEP5+BSUUTEP6+BSUUTEP7+BSUUTEP8+BSUUTEP9+BSUUTEP1O+BSUUTE +BSUUTEP12-BSUtJTEP = 0

SBSULT1+BSULT2+BSULT3+BSULT4+BSULT5-4-BSULT6+BSULT7+BSULT8+BSULT9+BSULT1O+BStJLT11+BSULT12-BSULT = 0

•TFS1-fTFS2+TFS3 +TFS4+TFS5+TFS6+TFS7 +TFS8+TFS9+TFS1O+TFS11+TFS12 -TFS = 0 . TSMU1+TSMU2+TSMU3+TSMU4+TSMU5+TSMU6+TSMtJ7+TSMU8+TSMU9+TSMtJ1O+TSMU11+TSMU12-TSMU = 0

TSJ1+TSJ2 +TSJ3 +TSJ4+TSJ5+TSJ6+TSJ7 +TSJ8 +TSJ9 +TSJ1O+TSJ1 1+TSJ12 -TSJ = 0 5TRicel-4-TRice2 +TRice3 +TRice4+TRice5-i-TRice6+TRice7+TRice8+TRice9 +TRicelO+TRicell+TRicel2 -TRice = 0

= 0 5TBSU1+TBSU2-4-TBSU3-fTBSU4+TBSU5+TBStJ64-TBStJ7+TBStJ8+TBSU9+TBSU1O+TBSU11+TBSU12-TBSU = 0

THI1+THI2+THI3+THI4+THI5+THI6+THI7+THI8+THI9+THI1O+THI11+THI12-THI = 0 STUTEP1+TUTEP2+TUTEP3+TUTEP4-1-TUTEP5+TUTEP6+TtJTEP7+TUTEP8+TUTEP9+TUTEP1O+TUTEP11+TUTEP12-TUTEP = 0

TLT1+TLT2+TLT3+TLT4+TLT5+TLT6+TLT7+TLT8+TLT9+TLT1O+TLT11+TLT12-TLT = 0

SLTFS1+LTFS2+LTFS3+LTFS4+LTFS5+LTFS6+LTFS7+LTFS8+LTFS9+LTFS1O+LTFS11+LTFS12 -LTFS = 0 LTSMU1+LTSMU2+LTSMU3+LTSMU4+LTSMU5+LTSMU6+LTSMU7+LTSMU8+LTSMU9+LTSMU1O+LTSMU11+LTSMU12-LTSMU = 0

•LTScr1+LTSJ2 +LTSJ3 +LTSJ4+LTSJ5+LTSJ6+LTSJ7+LTSJB+LTSJ9 +LTSJ1 0+LTSJ11+LTSJ12 -LTSJ = 0 LTRicel+LTR1ce2+LTRice3 +LTRice4+LTRice5+LTRice6+LTRice7 +LTRiceB+LTRIce9+LTRicelO+LTRIce1 1+LTRicel

•LTNV1+LTNV2+LTNV3+LTNV4+LTNV5+LTNV6+LTNV7+LTNV8+LTNV9+LTNV1O+LTNV11+LTNV12-LTNV = 0 LTBSU1+LTBSU2+LTBSU3+LTBSU4+LTBSU5+LTBSU6+LTBSU7+LTBSU8+LTBSU9+LTBSU1O+LTBSU11+LTBSU12-LTBSU = 0

•LTHI 1+LTHI2 +LTHI3 +LTHI4+LTHI5+LTHI6+LTHI7+LTHI8+LTHI9+LTHI1O+LTHI11+LTHI12 -LTHI = 0

SLTUTEP1+LTUTEP2+LTUTEP3+LTUTEP4+LTUTEP5+LTUTEP6+LTUTEP7+LTUTEP8+LTUTEP9+LTUTEP1O+LTUTEP11+LTUTEP1 LTT1+LTT2+LTT3 +LTT4+LTT5+LTT6+LTT7 +LTT8+LTT9 +LTT1 0+LTT11+LTT12 -LTT = 0

OFSHI1+FSHI2+FSHI3+FSHI4+FSHI5+FSHI6+FSHI7+FSHI8+FSHI9+FSHI10+FSHI11+FSHIl2-FSHI = 0 •FsSMul+FssMu2+FSSMu3+FSSMu4+FSSMu5+FSSMu6+FSSMIJ7+FssMU8+FssMU9+FssMU1O+FSSMU11+FssMU12 -FSSMU = 0

FSSJ1+FSSJ2 +FSSJ3 i-FSSJ4+FSSJ5+FSSJ6+FSSJ7 +FSSJ8+FSSJ9+FSSJ1O+FSSJ11+FSSJ12 -FSSJ = 0 •FSRIce1+FSRice2+FsRice3+FSRice4+FsRiceS+FsRice6+FSRice7+FSRiceS+FSRice9+FSRicelO+FSRicell+FSRicel

FSNV1+FSNV2+FSNV3+FSNV4+FSNV5+FSNV6+FSNV7+FSNV8+FSNV9+FSNV1O+FSNV11+FSNV12 -FSNV = 0 5FsBsu1+FsBsu2+FsBsu3+FsBsu4+FsBsu5+FsBsu6+FsBsu7+FsBsu8+FsBsu9+FsBsulo+FsBsu11+FsBsul2-FsBsu = 0

SFST1+FST2+FST3+FST4+FST5+FST6+FST7+FST8+FST9+FST1O+FST11+FST12 -FST = 0 FSUTEP1+FSUTEP2+FSUTEP3 +FStJTEP4+FSUTEP5+FSUTEP6+FSUTEP7+FSUTEP8+FSUTEP9+FSUTEP1O+FSUTEP11+FSUTEP1

•FSLT1+FSLT2 +FSLT3 +FSLT4+FSLT5+FSLT6-i-FSLT7+FSLT8+FSLT9+FSLT1O+FSLT11+FSLT12 -FSLT = 0

•UTEPFS1+UTEPFS2-fUTEPFS3+UTEPFS4+UTEPFS5+UTEPFS6+UTEPFS7+tJTEPFS8+UTEPFS9+UTEPFS1O+tJTEPFS11+UTEPFS1 UTEPSMU1+UTEPSMU2 +UTEPSMU3 +UTEPSMU4 +UTEPSMtJ5 -i-UTEPSMtJ6 +UTEPSMU7 +UTEPSMU8 +UTEPSMU9 +UTEPSMU1 0 +tJTEPSM

5+UTEPSWJ12-uTEPsrlu = 0 UTEPSJ1+UTEPSJ2+UTEPSJ3+UTEPSJ4+UTEPSJ5+UTEPSJ6+UTEPSJ7+UTEPSJ8+UTEPSJ9+UTEPSJ1O+UTEPSJ11+UTEPSJ1

SUTEPRIce1+UTEPRIce2 +UTEPRice3 +UTEPRIce4+UTEPRice5+UTEPRice6+UTEPRIce7+tJTEPR1ce8 +UTEPRice9+UTEPRic UTEPRice11+UTEPRIce12-UTEPRice = 0

SW

+ TEP1+UTEPN2+UTEPNV3+UTEPNV4+UTEPNV5+UTEPNV6+UTEPNV7+UTEPNV8+UTEPNV9+UTEPNV10+UTEPNV11+UTEPNV1

UTEPBSU1+UTEPBSU2 +UTEPBStJ3 +UTEPBSU4 +UTEPBSU5 +tJTEPBSU6 +tJTEPBSU7 +tJTEPBSU8 +UTEPBStJ9 +UTEPBSU1 0 +tJTEPBS +UTEPBSU12-UTEPBSU = 0

5UTEPT1+UTEPT2+UTEPT3+UTEPT4+UTEPT5+UTEPT6+UTEPT7+UTEPT8+UTEPT9+UTEPT1O+UTEPT11+tJTEPT12-UTEPT = 0 UTEPHI1+tJTEPHI2+UTEPHI3+UTEPHI4+UTEPHI5+UTEPHI6+UTEPHI7+UTEPHIS+UTEPHI9+tJTEPHI1O+UTEPHI11+UTEPHI1

5UTEPLT1+UTEPLT2+UTEPLJT3+UTEPLT4+UTEPLT5+UTEPLT6+UTEPLT7+UTEPLT8+UTEPLT9+UTEPLT1O+UTEPLT11+UTEPLT1

•TEPFS1 + FSUTEP1 + UTEPNV1 + NVIJTEP1 + UTEPBSU1 + BSUtJTEP1 + UTEPSJ1 +SJUTEPJ. + UTEPT1 + TUTEP1 + UTEPHI1 + HIUTEP1 + SMUUTEP1 +

TEPSMU1 + UTEPR1ce1 + RiceUTEP1 + UTEPLT1 + LTUTEP1 - UTEPtotall =

SMUFS1 + FSSMTJ1 + FSNV1 + NVFS1 + FSBSU1 + BSUFS1 + 5FSSJ1 +SJFS1 + FST1 + TFS1 + FSHI1 + HIFS1 + FSUTEP1 +

UTEPFS1 + FSRicel + RiceFSl + FSLT1 + LTFS1 - FStotall = 0 S

SMUFS1 + FSSMU1 + SMUNV1 + NVSMU1 + SMUBSU1 + BSUSMUJ. +

•SMIJSJ1 +SJSMU1 + SMUT1 + TSMtJ1 + SMUHI1 + HISMU1 + SMUUTEP1 + UTEPSMU1 + SMURice1 + R1ceSMU1 + SMULT1 + LTSMU1 - SMUtotall = 0

LTFS1 + FSLT1 + LTNV1 + NVLT1 + LTBSU1 + BSULT1 + •LTSJ1 +SJLT1 + LTT1 + TLT1 + LTHI1 + HILT1 + LTUTEP1 +

UTEPLT1 + LTRicel + RiceLTi + SMULT1 + LTSMU1 - LTtotall = 0

•NVFS1+ FSNV1 + SMUNV1 + NVSMU1 + NVBSU1 + BSUNV1 + NVSJ1 +SJNVJ. + NVT1 + TNVJ. + NVHI1 + HINV1 + NVUTEP1 + UTEPNV1 + NVRicel + RiceNVi + NVLT1 + LTNV1 - NVtotall = 0

OTFS1 + FST1 + TNV1 + NVT1 + TBSU1 + BSUT1 + TSJ1 +SJT1 + SMUT1 + TSMU1 + THu + HIT1 + TUTEP1 +

•UTEPT1 + TRicel + RiceTi + TLT1 + LTT1 - Ttotall = 0

•BSUFS1 + FSBSU1 + BSUNV1 + NVBSU1 + SMUBSU1 + BSUSMU1 +

.BsUsJ1+SJBSU1 + BSUT1 + TBSU1 + BSUHI1 + HIBSU1 + BSUUTEP1 +

.UTEpBsU1 + ESURicel + RiceBSU]. + BStJLT1 + LTBSU1 - BSUtotall = 0

HIFS1 + FSHI1 + HINV1 + NVHI1 + HIBSUJ. + BSUHIJ. + •HISJ1 +SJHI1 + HIT1 + THu + SMUHI1 + HISMU1 + HIUTEP1 + 0UTEPHI1 + HIRicel + RiceHI]. + HILT]. + LTHIJ. - HItotall = 0

•SJFS1+ FSSJ1 + SJNV1 + NVSJ1 + SJBSU1 + BSUSJ1 + SMUSJ1 +SJSMU1 + SJT1 + TSJ1 + SJHI1 + HISJ1 + SJUTEP1 +

•UTEPSJ1 + SJRicel + RiceSJl + SJLT1 + LTSJ1 - SJtotall = 0

•RiceFSl + FSRicel + RiceNVi. + NVRicel + R1ceBSU1 + BSURice1 + RiceSJl +SJRicel + RiceTi + TRicel + RiceHIl + HIRicel

•+ R1ceUTEP1 + UTEPRice1 + SMURice1 + RiceSMU1 + RiceLTi + LTRicel -

.Ricetotall = 0

0UTEpFs2+ FSUTEP2 + UTEPNV2 + NVUTEP2 + UTEPBSU2 + BSUUTEP2 + UTEPSJ2 +SJUTEP2 + UTEPT2 + TUTEP2 + UTEPHI2 + HIUTEP2 + SMUUTEP2 +

•UTEPSMU2 + UTEPRice2 + R1ceUTEP2 + UTEPLT2 + LTUTEP2 - UTEPtota12 = 0

•SMIJFS2 + FSSMU2 + FSNV2 + NVFS2 + FSBSU2 + BSUFS2 + FSSJ2 +SJFS2 + FST2 + TFS2 + FSHI2 + HIFS2 + FSUTEP2 +

•UTEPFS2 + FSRice2 + RiceFS2 + FSLT2 + LTFS2 - FStota12 = 0

•SMUFS2 + FSSMU2 + SMUNV2 + NVSMtJ2 + SMUBSU2 + BSUSMU2 +

•SMUSJ2+SJSMU2 + SMUT2 + TSMU2 + SMUHI2 + HISMU2 + SMUUTEP2 + UTEPSMU2 + SMURice2 + RiceSMU2 + SMULT2 + LTSMU2 - SMUtota12 = 0

OLTFS2 + FSLT2 + LTNV2 + NVLT2 + LTBSU2 + BSULT2 + •LTSJ2 +SJLT2 + LTT2 + TLT2 + LTHI2 + HILT2 + LTUTEP2 +

UTEPLT2 + LTRice2 + RiceLT2 + SMULT2 + LTSMU2 - LTtotal2 = 0

NVFS2 + FSNV2 + SMUNV2 + NVSMU2 + NVBSU2 + BSUNV2 + •NVSJ2 +SJNV2 + NVT2 + TNV2 + NVHI2 + HINV2 + NVUTEP2 +

UTEPNV2 + NVRice2 + RiceNV2 + NVLT2 + LTNV2 - NVtotal2 = 0

TFS2 + FST2 + TNV2 + NVT2 + TBSU2 + BSUT2 + TSJ2 +SJT2 + SMUT2 + TSMU2 + THI2 + HIT2 + TUTEP2 +

•UTEPT2 + TRice2 + RiceT2 + TLT2 + LTT2 - Ttota12 = 0

•BSUFS2 + FSBSU2 + BSTJNV2 + NVBSU2 + SMUBSU2 + BSUSMU2 + BSUSJ2 +SJBSU2 + BSUT2 + TBSU2 + BSUHI2 + HIBSU2 + BSUUTEP2 +

•UTEPBSU2 + BSURice2 + RiceBSU2 + BSULT2 + LTBSU2 - BSUtotal2 = 0

•HIFS2 + FSHI2 + HINV2 + NVHI2 + HIBSU2 + BSUHI2 + HISJ2 +SJHI2 + HIT2 + THI2 + SMUHI2 + HISMU2 + HIUTEP2 + UTEPHI2 + HIRice2 + RiceHI2 + HILT2 + LTHI2 - HItota12 = 0

SJFS2 + FSSJ2 + SJNV2 + NVSJ2 + SJBSU2 + BSUSJ2 + •SMUSJ2 +SJSMU2 + SJT2 + TSJ2 + SJHI2 + HISJ2 + SJUTEP2 +

UTEPSJ2 + SJRice2 + RiceSJ2 + SJLT2 + LTSJ2 - SJtotal2 = 0

RiceFS2 + FSRice2 + RiceNV2 + NVRice2 + RiceBSU2 + BSURice2 + RiceSJ2 +SJRice2 + RiceT2 + TRice2 + RiceHI2 + HIRice2 + RiceUTEP2 + UTEPRice2 + SMURice2 + RiceSMU2 + RiceLT2 + LTRice2 - Ricetotal2 = 0

UTEPFS3 + FSUTEP3 + UTEPNV3 + NVUTEP3 + UTEPBSU3 + BSUUTEP3 + •UTEPSJ3 +SJUTEP3 + UTEPT3 + TUTEP3 + UTEPHI3 + HIUTEP3 + SMUUTEP3 +

UTEPSMU3 + UTEPRice3 + RiceUTEP3 + UTEPLT3 + LTUTEP3 - UTEPtota13 = 0

SMUFS3 + FSSMIJ3 + FSNV3 + NVFS3 + FSBSU3 + BSUFS3 + •FSSJ3 +SJFS3 + FST3 + TFS3 + FSHI3 + HIFS3 + FSUTEP3 + .UTEpFs3 + FSRIce3 + RiceFS3 + FSLT3 + LTFS3 - FStota13 = 0

4P SMUFS3+ FSSMU3 + SMIJ1N3 + NVSMU3 + SMtJBSU3 + BSUSMU3 + SMUSJ3 +SJSMU3 + SMUT3 + TSMU3 + SMUHI3 + HISMU3 + SMtJUTEP3 +

•UTEPSMU3 + SMURIce3 + RiceSMU3 + SMULT3 + LTSMtJ3 - SMUtota13 = 0

•LTFS3 + FSLT3 + LTNV3 + NVLT3 + LTBSU3 + BSULT3 + LTSJ3 +SJLT3 + LTT3 + TLT3 + LTHI3 + HILT3 + LTUTEP3 + UTEPLT3 + LTRice3 + RiceLT3 + SMIJLT3 + LTSMU3 - LTtotal3 = 0

•NVFS3 + FSNV3 + SMUNV3 + NVSMU3 + NVBSU3 + BStJNV3 +

S '+SJNV3 + NVT3 + TNV3 + NVHI3 + HINV3 + NVtJTEP3 +

UTEPNV3 + NVRjce3 + RiceNV3 + NVLT3 + LTNV3 - NVtotal3 = 0

OTFS3 + FST3 + TNV3 + NVT3 + TBSU3 + BSUT3 + •TSJ3 +SJT3 + SMUT3 + TSMU3 + THI3 + HIT3 + TUTEP3 + .UTEpT3 + TRice3 + RiceT3 + TLT3 + LTT3 - Ttota13 = 0

BSUFS3 + FSBSU3 + BSUNV3 + NVBSU3 + SMUBSU3 + BSUSMU3 + SBSUSJ3 +SJBSU3 + BSUT3 + TBSU3 + BSUHI3 + HIBSU3 + BSUUTEP3 +

+ BStJRice3 + RIceBSU3 + BSUL1T3 + LTBSU3 - BSUtotal3 = 0 •UTEPI3SU3

HIFS3 + FSHI3 + HINV3 + NVHI3 + HIBSU3 + BSUHI3 + HISJ3 +SJHI3 + HIT3 + THI3 + SMUHI3 + HISMU3 + HIUTEP3 +

•UTEPHI3 + HIRjce3 + RiceHI3 + HILT3 + LTHI3 - HItota13 = 0

•SJFS3 + FSSJ3 + SJNV3 + NVSJ3 + SJBStJ3 + BStJSJ3 + SMUSJ3 +SJSMU3 + SJT3 + TSJ3 + SJHI3 + HISJ3 + SJUTEP3 +

•UTEPSJ3 + SJRice3 + RiceSJ3 + SJLT3 + LTSJ3 - SJtotal3 = 0

•RiceFS3 + FSRIce3 + RiceNV3 + NVRIce3 + RiceBSU3 +

S3 + RIceSJ3 +SJRice3 + RiceT3 + TRice3 + RiceHI3 + HIRice3

+ RiceUTEP3 + UTEPRice3 + SMTJRice3 + RIceSMU3 + RiceLT3 + LTRice3 - li •Ricetotal3 = 0

•UTEPFS4 + FSUTEP4 + UTEPNV4 + NVUTEP4 + UTEPBSU4 + BSUUTEP4 + UTEPSJ4 +SJUTEP4 + UTEPT4 + TUTEP4 + UTEPHI4 + HIUTEP4 + SMUUTEP4 +

•UTEPSMU4 + UTEPRice4 + RiceUTEP4 + UTEPLT4 + LTUTEP4 - UTEPtota14 = 0

SSMtJFS4 + FSSMU4 + FSNV4 + NVFS4 + FSBSU4 + BStJFS4 + FSSJ4 +SJFS4 + FST4 + TFS4 + FSHI4 + HIFS4 + FSUTEP4 +

.UTEpFs4 + FSRIce4 + RiceFS4 + FSLT4 + LTFS4 - FStota14 = 0

SMTLJFS4 + FSSMU4 + SMEJN\14 + NVSMU4 + SMUBSU4 + BSUSMU4 + 5sMtJsJ4 i-SJSMU4 + SMUT4 + TSMU4 + SMtJHI4 + HISMU4 + SMUUTEP4 +

UTEPSMU4 + SMtJRice4 + RiceSMU4 + SMULT4 + LTSMU4 - SMTJtota14 = 0

IOLTFS4 + FSLT4 + LTNV4 + NVLT4 + LTBSU4 + BSULT4 + LTSJ4 +SJLT4 + LTT4 + TLT4 + LTHI4 + HILT4 + rTUTEP4 +

•UTEPLT4 + LTRIce4 + RiceLT4 + SMULT4 + LTSMU4 - LTtotal4 = 0

SNVFS4 + FSNV4 + SMUNV4 + NVSMU4 + NVBSU4 + BSUNV4 + NVSJ4 +SJNv4 + NVT4 + TNV4 + NVHI4 + HINV4 + NVUTEP4 +

•UTEPNV4 + NVRice4 + RIceNV4 + NVLT4 + LTNV4 - NVtotal4 = 0

•TFS4 + FST4 + TNV4 + NVT4 + TBSU4 + BSUT4 +

0TSJ4 +SJT4 + SMUT4 + TSMU4 + THI4 + HIT4 + TUTEP4 + UTEPT4 + TRice4 + RiceT4 + TLT4 + LTT4 - Ttota14 = 0

BSUFS4 + FSBSU4 + BSUNV4 + NVBSU4 + SMUBSU4 + BSUSMU4 + •BSUSJ4 +SJBSU4 + BSUT4 + TBSU4 + BSUHI4 + HIBSU4 + BSUUTEP4 +

UTEPBSU4 + BSURice4 + RiceBStJ4 + BSULT4 + LTBSU4 - BSUtotal4 = 0

HIFS4 + FSHI4 + HINV4 + NVHI4 + HIBSU4 + BSiJHI4 + ISJ4 +SJHI4 + HIT4 + THI4 + SMUHI4 + HISMTJ4 + HIUTEP4 +

OUTEPHI4 + HIR±ce4 + RiceHI4 + HILT4 + LTHI4 - HItota14 = 0

SJFS4 + FSSJ4 + SJNV4 + NVSJ4 + SJBSU4 + BSUSJ4 + SMUSJ4 +SJSMtJ4 + SJT4 + TSJ4 + SJHI4 + HISJ4 + SJUTEP4 +

•UTEPSJ4 + SJRice4 + RiceSJ4 + SJLT4 + LTSJ4 - SJtotal4 = 0

•RiceFS4 + FSRIce4 + RiceNV4 + NVRice4 + RIceBSU4 + BSURIce4 + RiceSJ4 +SJRIce4 + RiceT4 + TRice4 + RiceHI4 + HIRice4

R1ceUTEP4 + UTEPRice4 + SMURice4 + R±ceSMU4 + RiceLT4 + LTRIce4 - Ricetotal4 = 0

•SMUFS5 + FSSMIJ5 + SMUNVS + NVSMU5 + SMUBSU5 + BSUSMU5 + SMUSJ5 +sJsMu5 + sMuT5 + TsMU5 + SMIJHI5 + HISMU5 + SMUUTEP5 +

•UTEPSMU5 + SMUR1ce5 + RIceSMtJ5 + SMULT5 + LTSMU5 - SMUtota15 = 0

•SMUFS5 + FSSMU5 + FSNV5 + NVFS5 + FSBSU5 + BSUFS5 +

.FSSJ5 +SJFS5 + FST5 + TFS5 + FSHI5 + HIFS5 + FSUTEP5 +

. tJTEPFS5 + FSRice5 + RiceFS5 + FSLT5 + LTFS5 - FStota15 = 0

UTEPFS5 + FSUTEP5 + UTEPNV5 + NVUTEP5 + UTEPBSU5 + BSUUTEP5 + •UTEPSJ5 +SJUTEP5 + UTEPP5 + TUTEP5 + UTEPHI5 + HITJTEP5 + SMUUTEP5 +

0UTEPSMU5 + UTEPRIce5 + RiceUTEP5 + UTEPLT5 .+ LTUTEP5 - UTEPtota15 = 0

.LTFS5 + FSLT5 + LTNV5 + NVLT5 + LTBSU5 + BSULT5 + LTSJ5 +SJLT5 + LTT5 + TLT5 + LTHI5 + HILT5 + LTUTEP5 +

•UTEPLT5 + LTRiceS + RiceLT5 + SM(JLT5 + LTSMU5 - LTtotal5 = 0

•NVFS5 + FSNV5 + SMUNV5 + NVSMt.J5 + NVBSU5 + BSUNV5 + NVSJ5 +SJNV5 + NVT5 + TNV5 + NVHI5 + HINV5 + NVUTEP5 +

•UTEPNV5 + NVRjCeS + RiceNV5 + NVLT5 + LTNV5 - NVtotal5 = 0

•TFS5 + FST5 + TNV5 + NVT5 + TBSU5 + BSUT5 +

.TSJ5 +SJT5 + SMUT5 + TSMU5 + THI5 + HIT5 + TUTEP5 + UTEPT5 + TRice5 + RiceT5 + TLT5 + LTT5 - Ttota15 = 0 .

BSUFS5 + FSBSU5 + BSUNV5 + NVBSU5 + SMUBSU5 + BSUSMU5 + •BSUSJ5 +SJBSU5 + BSUT5 + TBSU5 + BSUHI5 + HIBSU5 + BSUUTEP5 +

UTEPBSU5 + BSTJRice5 + RjceBSIJ5 + BSULT5 + LTBSU5 - BSUtotal5 = 0

HIFS5 + FSHI5 + HINV5 + NVHI5 + HIBSU5 + BSUHI5 + ISJ5 +SJH15 + HIT5 + THI5 + SMUHI5 + HISMUS + HIUTEP5 +

UTEPHI5 + HIRice5 + RiceHI5 + HILT5 + LTHI5 - HItotalS = 0

.SJFS5 + FSSJ5 + SJNV5 + NVSJ5 + SJBSU5 + BSUSJ5 + SMUSJ5 +SJSMU5 + SJT5 + TSJ5 + SJHI5 + HISJ5 + SJUTEP5 +

•UTEPSJ5 + SJRice5 + RIceSJ5 + SJLT5 + L1TSJ5 - SJtotal5 = 0

•RIceFS5 + FSRice5 + RIceNV5 + NVRIce5 + RIceBSU5 + BSURIce5 + R1ceSJ5 +SJRIce5 + RiceT5 + TRice5 + RiceHI5 + HIRice5

RiceUTEP5 + UTEPRice5 + SMURIce5 + RiceSMU5 + RiceLT5 + LTRice5 -

0Ricetota15 = 0

0UTEPFS6 + FSUTEP6 + UTEPNV6 + NVUTEP6 + UTEPBSU6 + BSUUTEP6 + UTEPSJ6 +SJUTEP6 + UTEPT6 + TUTEP6 + UTEPHI6 + HIUTEP6 + SMUtJTEP6 +

•UTEPSMU6 + UTEPRice6 + RiceUTEP6 + UTEPLT6 + LTUTEP6 - UTEPtota16 = 0

•SMUFS6 + FSSMU6 + FSNV6 + NVFS6 + FSBSU6 + BSUFS6 + FSSJ6 +SJFS6 + FST6 + TFS6 + FSHI6 + HIFS6 + FSUTEP6 + tJTEPFS6 + FSRice6 + RIceFS6 + FSLT6 + LTFS6 - FStota16 = 0

•SMUFS6 + FSSMU6 + SMUNV6 + NVSMTJ6 + SMtJBSU6 + BSUSMU6 +

e6 MUSJ6 +SJSMU6 + SMUT6 + TSMU6 + SMUHI6 + HISMU6 + SMUUTEP6 +

UTEPSMU6 + SMTJRice6 + RIceSMU6 + SMULT6 + LTSMU6 - SMUtota16 = 0 .

LTFS6 + FSLT6 + LTNV6 + NVLT6 + LTBSU6 + BSULT6 + •LTSJ6 +SJLT6 + LTT6 + TLT6 + LTHI6 + HILT6 + LTUTEP6 +

UTEPLT6 + LTRIce6 + RiceLT6 + SMULT6 + LTSMU6 - LTtotal6 = 0

AkNVFS6 + FSNV6 + SMUNV6 + NVSMu6 + NVBSU6 + BSUNV6 + IWWSJ6 i-SJNV6 + NVT6 + TNV6 + NVHI6 + HINV6 + NVUTEP6 + •UTEPNV6 + NVRice6 + RiceNV6 + NVLT6 + LTNV6 - NVtotalG = 0

STFS6 + FST6 + TNV6 + NVT6 + TBSU6 + BSUT6 + TSJ6 +SJT6 + SMTJT6 + TSMU6 + THI6 + HIT6 + TUTEP6 + •TEPT6 + TRice6 + RiceT6 + TLT6 + LTT6 - Ttota16 = 0

SBSUFS6 + FSBSU6 + BSUNV6 + NVBSU6 + SMUBSU6 + BSUSMU6 +

,SUSJ6 +SJBSU6 + BSUT6 + TBSU6 + BSUHI6 + HIBSU6 + BSUUTEP6 + TEPBSU6 + BSURice6 + RiceBSU6 + BSULT6 + LTBSU6 - BSUtotalG = 0

OHIFS6 + FSHI6 + HINV6 + NVHI6 + HIBSU6 + BSUHI6 + OHISJ6 +SJHI6 + HIT6 + THI6 + SMUHI6 + HISMIJ6 + HIUTEP6 +

UTEPHI6 + HIRice6 + RiceHI6 + HILT6 + LTHI6 - HItota16 = 0 S

SJFS6 + FSSJ6 + SJNV6 + NVSJ6 + SJBSU6 + BSUSJ6 +

49SMUSJ6 +SJSMU6 + SJTG + TSJ6 + SJHI6 + HISJ6 + SJUTEP6 + . UTEPSJ6 + SJRice6 + RiceSJ6 + SJLT6 + LTSJ6 - SJtotal6 = 0

RiceFS6 + FSRice6 + RiceNV6 + NVRice6 + RiceBSU6 + SBSURIce6 + RiceSJ6 +SJRice6 + RiceT6 + TRice6 + RiceHI6 + HIRiceG

.+ RiceUTEP6 + UTEPRice6 + SMURice6 + RiceSMU6 + RiceLT6 + LTRice6 - Ricetota16 = 0 .

UTEPFS7 + FSUTEP7 + UTEPNV7 + NVtJTEP7 + UTEPBSU7 + BSUUTEP7 + •UTEPSJ7 + SJUTEP7 + UTEPT7 + TUTEP7 + UTEPHI7 + HIUTEP7 + SMUUTEP7 +

S UTEPSMU7 + UTEPRice7 + RiceUTEP7 + UTEPLT7 + LTUTEP7 - UTEPtota17 = 0

SMUFS7 + FSSMU7 + FNV7 + NVFS7 + FSBSU7 + BStJFS7 + •FSSJ7 -i-SJFS7 + FST7 + TFS7 + FSHI7 + HIFS7 + FSUTEP7 +

UTEPFS7 + FSRice7 + RiceFS7 + FSLT7 + LTFS7 - FStota17 = 0

. SMUFS7 + FSSMU7 + SMUNV7 + NVSMU7 + SMUBSU7 + BSUSMU7 + SMUSJ7 +SJSMTJ7 + SMUT7 + TSMU7 + SMUHI7 + HISMtJ7 + SMUUTEP7 +

•UTEPSMU7 + SMtJRice7 + RiceSMU7 + SMULT7 + LTSMU7 - SMUtota17 = 0

•LTFS7 + FSLT7 + LTNV7 + NVLT7 + LTBSU7 + BSULT7 + LTSJ7 +SJLT7 + LTT7 + TLT7 + LTHI7 + HILT7 + LTUTEP7 +

•UTEPLT7 + LTRice7 + RiceLT7 + SMULT7 + LTSMIJ7 - LTtotal7 = 0

•NVFS7 + FSNV7 + SMUNV7 + NVSMIJ7 + NVBSU7 + BSUNV7 + •NVSJ7 +SJNV7 + NVT7 + TNV7 + NVHI7 + HINV7 + NVUTEP7 + . UTEPNV7 + NVRice7 + RiceNV7 + NVLT7 + LJTNV7 - NVtotal7 = 0

TFS7 + FST7 + TNV7 + NVT7 + TBSU7 + BSUT7 + •TSJ7 +SJT7 + SMUT7 + TSMU7 + THI7 + HIT7 + TUTEP7 + . UTEPT7 + TRice7 + RiceT7 + TLT7 + LTT7 - Ttota17 = 0

.BSUFS7 + FSBSU7 + BSUNV7 + NVBSU7 + SMUBSU7 + BSUSMU7 + BSUSJ7 +SJBStJ7 + BSUT7 + TBSU7 + BSUHI7 + HIBSU7 + BSUUTEP7 +

•UTEPBSU7 + BSURice7 + RiceBSU7 + BSULT7 + LTBSU7 - BSUtotal7 = 0

•HIFS7 + FSHI7 + HINV7 + NVHI7 + HIBSU7 + BSUHI7 + HISJ7 +SJHI7 + HIT7 + THI7 + SMUHI7 + HISMtJ7 + HIUTEP7 +

•UTEPHI7 + HIRice7 + RiceHI7 + HILT7 + LTHI7 - HItota17 = 0

•SJFS7 + FSSJ7 + SJNV7 + NVSJ7 + SJBSU7 + BSUSJ7 +

.SMUSJ7 -i-SJSMU7 + SJT7 + TSJ7 + SJHI7 + HISJ7 + SJUTEP7 + UTEPSJ7 + SJRice7 + RiceSJ7 + SJLT7 + LTSJ7 - SJtotal7 = 0 .

RiceFS7 + FSRice7 + RiceNV7 + NVRice7 + RiceBSU7 + •BSURice7 + RiceSJ7 +SJRice7 + RiceT7 + TRice7 + RiceHI7 + HIRice7

+ RicetJTEP7 + UTEPRice7 + SMTJRice7 + RiceSMtJ7 + RiceLT7 + LTRice7 - •Ricetota17 = 0

OUTEPFS8 + FSUTEP8 + UTEPNV8 + NVUTEP8 + UTEPBSU8 + BSUUTEP8 + TEPSJ8 +SJUTEP8 + UTEPT8 + TUTEP8 + UTEPHI8 + HIUTEP8 + SMUUTEP8 + U + TEPSMU8 + UTEPRice8 + RiceUTEP8 + UTEPLT8 + LTUTEP8 - UTEPtota18 = 0

SMUFS8 + FSSMU8 + FSNV8 + NVFS8 + FSBSU8 + BSUFS8 + SFSSJ8 +SJFS8 + FST8 + TFS8 + FSHI8 + HIFS8 + FSUTEP8 +

UTEPFS8 + FSRice8 + RiceFS8 + FSLT8 + LTFS8 - FStota18 = 0

SMUFS8 + FSSMU8 + SMtJNV8 + NVSMU8 + SMUBSU8 + BSUSMU8 + •SMUSJ8 +SJSMU8 + SMUT8 + TSMU8 + SMUHI8 + HISMU8 + SMUUTEP8 +

UTEPSMU8 + SMURice8 + RiceSMU8 + SMTJLT8 + LTSMU8 - SMtJtota18 = 0

TFS8 + FSLT8 + LTNV8 + NVLT8 + LTBSU8 + BSULT8 + LTSJ8 +SJLTS + LTT8 + TLT8 + LTHIS + HILT8 + LTUTEP8 +

•UTEPLT8 + LTRIce8 + RiceLT8 + SMtJLT8 + LTSMU8 - LTtotal8 = 0

OWFS8 + FSNV8 + SMUNVB + NVSMtJ8 + NVBSU8 + BSUNV8 + NVSJ8 +SJNV8 + NVT8 + TNV8 + NVHIS + HINV8 + NVUTEP8 + (JTEPNV8 + NVRice8 + RiceNV8 + NVLT8 + LTNV8 - NVtotal8 = 0

IDTFS8 + FST8 + TNV8 + NVT8 + TBSTLJ8 + BSUT8 + SJ8 +SJT8 + SMUT8 + TSMU8 + THI8 + HIT8 + TUTEP8 + •T

UTEPT8 + TRice8 + RiceT8 + TLT8 + LTT8 - Ttota18 = 0

BSUFSB + FSBSU8 + BStJNVB + NVBSU8 + SMUBSUS + BSUSMU8 + 5B SUSJ8 +SJBSU8 + BSUT8 + TBSU8 + BSUHI8 + HIBSU8 + BSUUTEP8 +

UTEPBSU8 + BSURice8 + RiceBSU8 + BSULT8 + LTBSU8 - BSUtotal8 = 0

HIFS8 + FSHI8 + HINV8 + NVHI8 + HIBSU8 + BSUHI8 + •HISJS +SJHI8 + HIT8 + THI8 + SMUHI8 + HISMU8 + HIUTEP8 + •UTEPHI8 + HIRice8 + RiceHI8 + HILT8 + LTHI8 - HItota18 = 0

•SJFS8+ FSSJ8 + SJNV8 + NVSJ8 + SJBSU8 + BSUSJ8 + SMtJSJ8 +SJSMU8 + SJT8 + TSJB + SJHI8 + HISJB + SJUTEP8 +

:.tJTEPSJ8 + SJRIce8 + RiceSJ8 + SJLTS + LTSJ8 - SJtotal8 = 0

ORiceFS8 + FSRice8 + RiceNV8 + NVRice8 + RiceBStJ8 + BSURice8 + RiceSJ8 1-SJRIce8 + RiceT8 + TRice8 + RiceHI8 + HIRice8 + RIceUTEP8 + UTEPRIce8 + SMtJRIce8 + R1ceSMU8 + RIceLT8 + LTRice8 -

.Ricetota18 = 0

4P UTEPFS9+ FSUTEP9 + UTEPNV9 + NVJTEP9 + UTEPBSU9 + BSUtJTEP9 + UTEPSJ9 +SJUTEP9 + UTEPT9 + TUTEP9 + UTEPHI9 + HIUTEP9 + SMUUTEP9 +

•UTEPSMU9 + UTEPRice9 + RicetJTEP9 + UTEPL,T9 + LTUTEP9 - UTEPtota19 = 0

•SMtJFS9 + FSSMU9 + FSNV9 + NVFS9 + FSBSU9 + BSUFS9 + FSSJ9 +SJFS9 + FST9 + TFS9 + FSHI9 + HIFS9 + FSUTEP9 +

SUTEPFS9 + FSRice9 + RiceFS9 + FSLT9 + LTFS9 - FStota19 = 0

•SMUFS9 + FSSMU9 + SMUNV9 + NVSMU9 + SMUBSU9 + BSUSMU9 +

•SMUSJ9+SJSMtJ9 + SMUT9 + TSMU9 + SMUHI9 + HISMTJ9 + SMUUTEP9 + UTEPSMU9 + SMTJRice9 + RiceSMU9 + SMULT9 + LTSMU9 - SMUtota19 = 0

O LTFS9 + FSLT9 + LTNV9 + NVLT9 + LTBSU9 + BSULT9 + •LTSJ9 +SJLT9 + LTT9 + TLT9 + LTHI9 + HILT9 + LTUTEP9 +

UTEPLT9 + LTR±ce9 + RiceLT9 + SMULT9 + LTSMU9 - LTtotal9 = 0

NVFS9 + FSNV9 + SMUNV9 + NVSMU9 + NVBSU9 + BSUNV9 + •NVSJ9 +SJNV9 + NVT9 + TNV9 + NVHI9 + HINV9 + NVUTEP9 + 0UTEPNV9 + NVRice9 + RiceNV9 + NVLT9 + LTNV9 - NVtotal9 = 0

•TFS9 + FST9 + TNV9 + NVT9 + TBSU9 + BSUT9 + TSJ9 +SJT9 + SMUT9 + TSMU9 + THI9 + HIT9 + TUTEP9 +

•UTEPT9 + TR±ce9 + RiceT9 + TLT9 + LTT9 - Ttota19 = 0

•BSUFS9 + FSBSU9 + BSUNV9 + NVBSU9 + SMUBSU9 + BSUSMU9 + BSUSJ9 +SJBSU9 + BSUT9 + TBSU9 + BSUHI9 + HIBStJ9 + BSUUTEP9 +

•UTEP]3SU9 + BSURIce9 + RiceBSU9 + BSULT9 + LTBSU9 - BSUtotal9 = 0

•HIFS9 + FSHI9 + HINV9 + NVHI9 + HIBSU9 + BSUHI9 + OHISJ9 +SJHI9 + HIT9 + THI9 + SMUHI9 + HISMU9 + HItJTEP9 +

UTEPHI9 + HIRice9 + RiceHI9 + HILT9 + LTHI9 - HItota19 = 0

SJFS9 + FSSJ9 + SJNV9 + NVSJ9 + SJBSU9 + BSUSJ9 + •SMUSJ9 +SJSMTJ9 + SJT9 + TSJ9 + SJHI9 + HISJ9 + SJUTEP9 +

UTEPSJ9 + SJRIce9 + RiceSJ9 + SJLT9 + LTSJ9 - SJtotal9 = 0

RiceFS9 + FSRice9 + RiceNV9 + NVRice9 + RiceBSU9 + BStJRice9 + RiceSJ9 +SJRice9 + RiceT9 + TRice9 + RiceHI9 + HIRice9

.+ RiceUTEP9 + UTEPRIce9 + SMURIce9 + RiceSMU9 + RiceLT9 + LTRice9 - Ricetota19 = 0

UTEPFS10 + FSUTEP10 + UTEPNV10 + NVUTEP10 + UTEPBSU10 + BSUUTEP10 + •tJTEPSJ10 +SJTJTEP10 + UTEPT10 + TUTEP10 + UTEPHI10 + HIUTEP10 + SMUUTEP10 +

UTEPSMU10 + UTEPRice1O + RiceUTEP10 + UTEPLT10 + LTUTEP10 - UTEPtotallO = 0

•SMUFS'O+ FSSMU10 + FSNV10 + NVFS10 + FSBSU10 + BSUFS10 + FSSJ10 +SJFS10 + FST10 + TFS10 + FSHI10 + HIFS10 + FSUTEP10 +

•UTEPFS1O + FSRicelO + RiceFSlO + FSLT10 + LTFS10 - FStotallO = 0

•SMUFS10 + FSSMU10 + SMUNV10 + NVSMU10 + SMIJBSU10 + BSUSMU10 + SMUSJ10 +SJSMU10 + SMUT10 + TSMU10 + SMUHI10 + HISMU10 + SMUUTEP10 +

•UTEPSMU10 + SMURice1O + RiceSMU10 + SMULT10 + LTSMU10 - SMUtotallO = 0

•LTFS10 + FSLT10 + LTNV10 + NVLT10 + LTBSU10 + ESULT10 +

4PLTsJ10+SJLT10 + LTT10 + TLT10 + LTHI10 + HILT10 + LTUTEP10 + UTEPLJT10 + LTRicelO + RiceLTlO + SMULT10 + LTSMU10 - LTtotallO = 0

NVFS10 + FSNV10 + SMUNV10 + NVSMU10 + NVBSU1O + BSUNV10 + NVSJ10 +SJNV10 + NVT10 + TNV10 + NVHI10 + HINV10 + NVUTEP10 +

•UTEPNV10 + NVRicelO + RiceNVlO + NVLT10 + LTNV10 - NVtotallO = 0

TFS10 + FST10 + TNV10 + NVT10 + TBSU10 + ESUT10 +

•TSJ1O +SJT10 - SMtJT10 + TSMUJ.O + THI10 + HIT10 + TUTEP10 + . UTEPT1O + TRicelO + RiceTlO + TLT10 + LTT10 - TtotallO = 0

BSUFS10 + FSBSU1O + BSUNV1O + NVBSU10 + SMTJBSU10 + BSUSMU10 + 5 BSUSJ1O +SJBSU10 + BSUT10 + TBSU10 + BSUHI10 + HIBSU10 + BSUUTEP10 + 0UTEPBSU10 + BSURice1O + RiceBSU10 + BSULT10 + LTBSU10 - BSUtotallO = 0

.HIFS1O + FSHI10 + HINV10 + NVHI10 + HIBSU10 + BSUHI10 + HISJ10 +SJHI10 + HIT10 + THI10 + SMUHI10 + HISMU10 + HIUTEP10 +

•UTEPHI10 + HIRicelO + RiceHIlO + HILT1O + LTHI10 - HItotallO = 0

5 SJFS1O + FSSJ10 + SJNV10 + NVSJ10 + SJBSU10 + BSUSJ10 + SMUSJ10 -i-SJSMU10 + SJT10 + TSJ10 + SJHI10 + HISJ10 + SJUTEP10 +

5 UTEPSJ1O + SJRicelO + RiceSJlO + SJLT10 + LTSJ10 - SJtotallO = 0 S RiceFSlO + FSRjcelO + RiceNVlO + NVRicelO + RiceBSU10 + . BSUR1ce1O + RiceSJlO +SJRicelO + RiceTlO + TRicelO + RiceHIlO + HIRicelO

+ RiceUTEP10 + UTEPR1ce1O + SMURice1O + RiceSMU10 + RiceLTlO + LTRicelO - 5 RicetotallO = 0

•UTEPFS11 + FSUTEP11 + UTEPNV11 + NVtJTEP11 + UTEPBSU11 + BSUUTEP11 + UTEPSJ11 +SJUTEP11 + UTEPT11 + TUTEP11 + UTEPHI11 + HIUTEP11 + SMUUTEP11 +

•UTEPSMTJ11 + UTEPRice11 + RiceUTEP11 + UTEPLT11 + LTUTEP11 - UTEPtotalil = 0

5 SMUFS11 + FSSMU11 + FSNV11 + NVFS11 + FSBSU11 + BSUFS11 +

0FSSJ11 +SJFS11 + FST11 + TFS11 + FSHI11 + HIFS11 + FSUTEP11 +

. UTEPFS11 + FSRicell + RiceFSll + FSLT11 + LTFS11 - FStotalll = 0

SMUFS11 + FSSMIJ11 + SMUNV11 + NVSMU11 + SMUBSU11 + BSUSMU11 + •SMUSJ11 +SJSMtJ11 + SMUT11 + TSMU11 + SMtJHI11 + HISMU11 + SMUUTEP11 +

S UTEPSMTJ11 + SMURice11 + RiceSMU11 + SMIJLT11 + LTSMU11 - SMtJtotalll = 0

.LTFS11 + FSLT11 + LTNV11 + NVLT11 + LTBSU11 + BSULT11 + LTSJ11 +SJLT11 + LTT11 + TLT11 + LTHI11 + HILT11 + LTUTEP11 +

•UTEPLT11 + LTRicell + RiceLTil + SMULT11 + LTSMU11 - LTtotalll = 0

•NVFS11 + FSNV11 + SMUNV11 + NVSMU11 + NVBSU11 + BSUNV11 + NVSJ11 +SJNV11 + NVT11 + TNV11 + NVHI11 + HINV11 + NVUTEP11 +

•UTEPNV11 + NVRicell + RiceNVil + NVLT11 + LTNV11 - NVtotalll = 0

5TFS11 + FST11 + TNV11 + NVT11 + TBSU11 + BSUT11 +

STSJ11 +SJT11 + SMUT11 + TSMU11 + THI11 + HIT11 + TUTEP11 + UTEPT11 + TRicell + RiceTli + TLT11 + LTT11 - Ttotalll = 0

OBSUFS11 + FSBSU11 + BSUNV11 + NVBSU11 + SMUBSU11 + BSUSMU11 + •BSUSJ11 +SJBSU11 + BSUT11 + TBSU11 + BSUHI11 + HIBSU11 + BSUUTEP11 +

UTEPBSU11 + BSURice11 + RiceBSU1J. + BSULT11 + LTBSU11 - BSUtotalll = 0 S

HIFS11 + FSHI11 + HINV11 + NVHI1J. + HIBSU11 + BSUHI1J. + 5HISJ11 +SJHI11 + HIT11 + THI11 + SMUHI11 + HISMU11 + HIUTEP11 +

UTEPHI11 + HIRicell + RiceHIll + HILT11 + LTHI11 - HItotalil = 0

SSJFS11 + FSSJ11 + SJNV11 + NVSJ11 + SJBSU11 + BSUSJ11 + SMUSJ11 +SJSMU11 + SJT11 + TSJ11 + SJHI11 + HISJ11 + SJUTEP11 +

5UTEPSJ11 + SJRicell + RiceSJll + SJLT11 + LTSJ11 - SJtotalll = 0

•RiceFSll + FSRicell + RiceNVil + NVRicell + RiceBSU11 + BSURice11 + RiceSJll +SJRicell + RiceTil + TRicell + RiceHIll + HIRicell

RiceUTEP11 + UTEPRice11 + SMURice11 + RiceSMUll + RiceLTil + LTRicell - •Ricetotalll = 0

SUTEPFS12 + FSUTEP12 + UTEPNV12 + NVUTEP12 + UTEPBSU12 + BSUUTEP12 + UTEPSJ12 +SJUTEP12 + UTEPT12 + TUTEP12 + UTEPHI12 + HIUTEP12 + SMUUTEP12 +

5UTEPSMU12 + UTEPRice12 + RiceUTEP12 + UTEPLT12 + LTUTEP12 - UTEPtota112 = 0

5SMUFS12 + FSSMU12 + FSNV12 + NVFS12 + FSBSU12 + BSUFS12 + FSSJ12 +SJFS12 + FST12 + TFS12 + FSHI12 + HIFS12 + FSUTEP12 +

StJTEPFS12 + FSRicel2 + RiceFS12 + FSLT12 + LTFS12 - FStota112 = 0

SSMUFS12 + FSSMU12 + SMUNV12 + NVSMTJ12 + SMUBSU12 + BSUSMU12 + SMUSJ12 +SJSMU12 + SMUT12 + TSMU12 + SMUHI12 + HISMU12 + SMUUTEP12 + •

S

UTSMU12 + SMURice12 + RiceSMU12 + SMULT12 + LTSMU12 - SMUtota112 = 0

LTFS12 + FSLT12 + LTNV12 + NVLT12 + LTBSU12 + BSULT12 + 5LTSJ12 +SJLT12 + LTT12 + TLT12 + LTHI12 + HILT12 + LTUTEP12 +

UTEPLT12 + LTRice12 + RiceLT12 + SMULT12 + LTSMU12 - LTtotall2 = 0

NVFS12 + FSNV12 + SMUNV12 + NVSMU12 + NVBSU12 + BSUNV12 + •NVSJ12 -s-SJNV12 + NVT12 + TNV12 + NVHI12 + HINV12 + NVUTEP12 +

Is UTEPNV12 + NVRicel2 + RiceNV12 + NVLT12 + LTNV12 - NVtotall2 = 0

S TFS12 + FST12 + TNV12 + NVT12 + TBSU12 + BStJT12 + TSJ12 +SJT12 + SMUT12 + TSMU12 + THI12 + HIT12 + TUTEP12 +

•UTEPT12 + TRice12 + RiceT12 + TLT12 + LTT12 - Ttota112 = 0

BSUFS12 + FSBSU12 + BSUNV12 + NVBSU12 + SMUBSU12 + BStJSMU12 + BSUSJ12 +SJBSU12 + BSUT12 + TBSU12 + BSUHI12 + HIBSU12 + BSUUTEP12 +

5 UTEPBSU12 + BSUR1ce12 + RiceBSU12 + BSULT12 + LTBSU12 - BSUtotall2 = 0

• HIFS12 + FSHI12 + HINV12 + NVHI12 + HIBSU12 + BStJHI12 +

.HISJ12 +SJHI12 + HIT12 + THI12 + SMUHI12 + HISMU12 + HIUTEP12 + UTEPHI12 + HIRice12 + RiceHI12 + HILT12 + LTHI12 - HItota112 = 0

SJFS12 + FSSJ12 + SJNV12 + NVSJ12 + SJBSU12 + BSUSJ12 + 5 SMUSJ12 +SJSMU12 + SJT12 + TSJ12 + SJHI12 + HISJ12 + SJtJTEP12 +

40UTEPSJ12 + SJRicel2 + RiceSJ12 + SJLT12 + LTSJ12 - SJtotall2 = 0

RiceFS12 + FSRicel2 + RiceNV12 + NVRicel2 + RIceBSU12 + S BSURice12 + RIceSJ12 +SJRIce12 + RiceT12 + TRice12 + RiceHI12 + HIRice12

e+ RiceUTEP12 + UTEPRice12 + SMURice12 + RiceSMU12 + RiceLT12 + LTRice12 - Ricetota112 = 0 .

SMtotall+SMUtotal2+SMtotal3+SMUtotal4+SMUtotal5+SMUtotal6+SMUtotal7-i-SMUtotal8-i-SMUtotal9+SMutota 5+SMUtotalll+SMiJtotall2 = 7

FStotall+FStotal2+FStotal3+FStotal4+FStotalS+FStotal6+FStotal7+FStotal8+FStotal9+FStotallO 5 +FStotalll+FStotall2 = 7

BSUtotall+BSUtotal2+BStJtotal3+BSUtotal4+BSUtotal5+BSUtotal6+BSUtotal7+BSUtotal8+BSUtotal9+BSutota 5 +BSUtotalll+BSUtotall2 = 7

.SJtotall+SJtotal2+SJtotal3+SJtotal4+SJtotal5+SJtotal6+SJtotal7+SJtotal8+SJtotal9+SJtotallO +SJtotalll+SJtotall2 = 7

5 HItotall+HItotal2+HItotal3+HItotal4+HItotal5+HItotalG+HItotal7+HItotal8+HItotal9+HItotallO +HItotalll+HItotall2 = 7

•NVtotall+NVtotal2+NVtotal3+NVtotal4+NVtotal5+NVtotal6+NVtotal7+NVtotal8+NVtotal9+NVtotallO +NVtotalll+NVtotall2 = 7

5 Ttotall+Ttotal2+Ttotal3+Ttotal4+Ttotal5+Ttotal6+Ttotal7+Ttotal8+Ttotal9+TtotallO +Ttotalll+Ttotall2 = 7

•UTEPtotall+UTEPtotal2+UTEPtotal3+UTEPtotal4+UTEPtotal5+tJTEPtotal6+UTEPtotal7+UTEPtotal8+UTEPtotal . +tJTEPtotalll+UTEPtotall2 = 7

Ricetotall+Ricetotal2-3-Ricetotal3+Ricetotal4+Ricetotal5+Ricetotal6-4-Ricetotal7+Ricetotal8+Ricetotal

S+Ricetotalll+Ricetotall2 = 7 LTtotall+LTtotal2+LTtotal3+LTtotal4+LTtotal5+LTtotal6+LTtotal7+LTtotal8+LTtotal9+LTtotallO

5 +LTtotalll+LTtotall2 = 7

SSMUFS1+SMUNV1+SMUT1+SMUBSU1+SMUSJ1+SMtJHI1+SMUUTEP1+SMURice1+SMULT1+FSSMU1+NVSMU1+TSMU1+BSUSMU1+SJ

5+HISMU1+UTEpSMU1+R±ceSIvIU1+LTSMU1<=1

S -i-HISMtJ2 -i-UTEPSMIJ2 +RiceSMU2+LTSMU2<=1

S+I-jISMtJ3 -1-tJTEPSMtJ3 +RiceSMtJ3 +LTSMTJ3<=1

+HISMU4 +UTEPSMU4+RiceSMTJ4 +LTSMU4<=1 5 SMUFS5+SMtJNV5+SMUT5+SMUBSU5+SMUSJ5+SMUHI5+SMUUTEP5+SMURIce5+SMtJLT5+FSSMtJ5+NVSMtJ5+TSMU5+BStJSMTJ5+SJ

+HISMIJ5 +UTEPSMU5+RIceSMU5+LTSMU5<=1

S +HISMU6+UTEPSMU6 +RIceSMU6+LTSMU6<=1

S +HISMtJ7 +UTEPSMtJ7 +RiceSMtJ7 +LTSMU7<= 1 SMUFS8+SMUNV8+SMUT8+SMUBSU8+SMUSJ8+SMUHI8+SMUUTEP8+SMURice8+SMtJLT8+FSSMU8+NVSMU8+TSMU8+BStJSMU8+SJ

•+HISMU8+UTEPSMtJ8+RiCeSMIJ8+LTSMU8<=1

5+HISMtJ9 +UTEPSMU9 +RiceSMU9 +LTSMU9<=1 SMtJFS1O+SMUNV1Q+SMUT1Q+SMTJBSU1Q+SMUSJ1O+SMtJHI1Q+SMUUTEP1Q+SMURICe1O+SMULT1O+FSSMU1O+NVSMU1Q+TSMIJ1

S+BSUSMU10+SJSMtJ1O+HISMU1O+UTEPSMtJ1O+RIceSMU10+LTSMtJ1O<=1

S+BSUSMU11+SJSMtJ11+HISMU11-f-tJTEpSMU11+RjceSMTJ1l+LTSMTJ11<=1

S+BSUSMU12 +SJSMtJ12 +HISMtJ12+UTEPSMU12+RiceSMU12+LTSMtJ12<1

5+RiceNV1+LTNV1<=1 NVSMU2 -1-NVFS2 +NVT2 +NVBSU2 +NVSJ2 +NVHI2 -i-NVtJTEP2 +NVRice2 -i-NVLT2 +FSNV2 +SMUNV2 +TNV2 +BStJNV2 +SJNV2 +HINV2 +U

+RiceNV2-i-LTNV2<=1 NVSMU3 -1-NVFS3 +NVT3 +NVBSU3 -i-NVSJ3 +NVHI 3 +NVUTEP3 +NVRice3 +NVLT3 +FSNV3 +SMIJNV3 +TNV3 +BS IJNV3 +SJNV3 -i-HINV3 +U

S +RiceNV3+LTNV3<=1 NVSMU4+NVFS4+NVT4+NVBSU4+NVSJ4+NVHI4+NVtJTEP4+NVRice4+NVLT4+FSNV4+SMtJNV4+TNV4+BStJNV4+SJNV4+HINV4+U S -i-RiceNV4+LTNV4<=1

.NVSMU5+NVFS5+NVT5+NVBSU5+NVSJS+NVHI5+NVUTEP5+NVRice5+NVLT5+FSNV5+SMUNV5+TNV5+BSUNV5+SJNV5+HINV5+U +RiceN\15+LTNV5<=J.

5 NVSMU6+NVFS6 +NVT6+NVBSU6+NVSJ6+NVHI6+NVUTEP6+NVRIce6+NVLT6+FSNV6+SMUNV6+TNV6+BSUNV6+SJNV6+HINV6+U +RIceNV6+LTNV6<=1

5 NVSMU7+NVFS7+NVT7+NVBSU7+NVSJ7+NVHI7+NVtJTEP7+NVRIce7+NVLT7+FSNV7+SMUNV7+TNV7+BStJNV7+SJNV7+HINV7+U +RIceNV7+LTNV7<=1

5 NVSMU8+NVFS8+NVT8+NVBSU8+NVSJ8+NVIi18+NVUTEP8+NVRice8+NVLT8+FSNV8+SMUNV8+TNV8+BSUNV8+SJNV8+HINV8+U +RiceNV8+LTNV8<=1 S NVSMU9-1-NVFS9 +NVT9 +NVBSU9+NVSJ9+NVHI9+NVUTEP9+NVRice9+NVLT9+FSNV9+SMTJNV9 +TNV9 +BSUNV9+SJNV9+HINV9+tJ

0+RiceNV9+LTNV9<=1 NVSMTJ1O+NVFS1O+NVT1O+NVBSU1O+NVSJ1O+NVHI1O+NVUTEP1O+NVR±Ce10+NVLT1O+FSNV1O+SMUNV1O+TNV1O+BSUNV1O+

5 +HINV10+UTEPNV10+RIceNV1 O+LTNV1 NVSMU11+NVFS11+NVT11+NVBSU11+NVSJ11+NVHI11+NVUTEP11+NVRIce11+NVLT11+FSNV11+SMUNV11+TNV11+BSUNV11+

5 +HINV11+UTEPNV11+RIceNV11+LTNV11<=1 NVSMU12+NVFS12+NVT12+NVBSU12+NVSJ12+NVHI12+NVUTEP12+NVRicel2+NVLT12+FSNV12+SMUNV12+TNV12+BSUNV12+

5 i-HINV12 +UTEPNV12 +RiceNVl2

S FSSMU1-i-FSNV1+FST1+FSBSU1+FSSJ1+FSHI1+FSUTEP1+FSRicel+FSLT1+NVFS1+SMUFS1+TFS1+BSUFS1+SJFS1+HIFS1+U . +RiceFS1+LTFS1<=1

FSSMU2-i-FSNV2+FST2+FSBSU2+FSSJ2+FSHI2+FSUTEP2+FSRice2+FSLT2+NVFS2+SMUFS2+TFS2+BSUFS2+SJFS2+HIFS2+U +RiceFS2 +LTFS2<=1

WFSSMU3+FSNV3+FST3+FSBSU3+FSSJ3+FSHI3+FSUTEP3+FSRIce3+FSLT3+NVFS3+SMUFS3+TFS3+BSUFS3+SJFS3+HIFS3+U 5+RiceFS3+LTFS3<=1

FSSMU4+FSNV4+FST4+FSBSU4+FSSJ4+FSHI4+FSUTEP4+FSRIce4+FSLT4+NVFS4+SMUFS4+TFS4+BSUFS4+SJFS4+HIFS4+U 5-fRiceFS4+LTFS4<=1

FSSMU5+FSNV5+FST5+FSBSU5+FSSJ5+FSHI5+FSUTEP5+FSRice5+FSLT5+NVFS5+SMUFS5+TFS5+BSUFS5+SJFS5+HIFS5+U S +RiceFS5+LTFS5<=1

SFSSMU6+FSNV6+FST6+FSBSU6+FSSJ6+FSHI6+FSUTEP6+FSRice6+FSLT6+NVFS6+SMtJFS6+TFS6+BSUFS6+SJFS6+HIFS6+U +RiceFS6+LTFS6<=1

5 FSSMU7+FSNV7+FST7+FSBSU7+FSSJ7+FSHI7+FSUTEP7+FSRice7+FSLT7+NVFS7+SMUFS7+TFS7+BSUFS7+SJFS7+HIFS7-i-U -I-RiceFS7-1-LTFS7<=1

5 FSSMU8+FSNV8+FST8+FSBSU8+FSSJ8+FSHI8+FSUTEP8+FSRice8+FSLT8+NVFS8+SMUFS8+TFS8+BSUFS8+SJFS8+HIFS8-i-U +RiceFS8+LTFS8<=1

5 FSSMU9+FSNV9+FST9+FSBSU9+FSSJ9+FSHI9+FSUTEP9+FSRice9+FSLT9+NVFS9+SMUFS9+TFS9+BSUFS9+SJFS9-'-HIFS9+U +RiceFS9+LTFS9<=1 S FSSMU1O+FSNV1O+FST1O+FSBSU1O+FSSJ1O+FSHI1O+FSUTEP1O+FSRicelO+FSLT1O+NVFS1O+SMtJFS1O+TFS1O+BSUFS1O+

S+HIFS1 O+UTEPFS1 O+RiceFSlO+LTFS1 O<=1 FSSMU11+FSNV11+FST11+FSBSU11+FSSJ11+FSHI11+FSUTEP11+FSRIce11+FSLT11+NVFS11+SMTJFS11+TFS11+BSUFS11+

S +HIFS11-i-UTEPFS11-i-RiceFS11+LTFS11<=1 FSSMU12+FSNV12+FST12+FSBSU12+FSSJ12+FSHI12+FSIJTEP12+FSRjcel2+FSLT12+NVFS12+SMEJFS12+TFS12+BStJFS12+

5 +HIFS12+UTEPFS12+RIceFS12+LTFS12<=1

•TSMU1+TFS1+TNV1+TBSU1+TSJ1+THI1+TijTEP1+TRIce1+TLT1+FST1+SMUT1+NVT1+BSuT1+SJT1+HIT1+UTEPT1+RICeT1+ TSMU2+TFS2+TNV2+TBSU2+TSJ2+THI2+TUTEP2+TRjce2+TLT2+FST2+SMUT2+NVT2+BStJT2+SJT2+HIT2-i-UTEPT2+RjceT2+

STSMtJ3+TFS3+TNV3+TBSU3+TSJ3+THI3+TUTEP3+TRice3+TLT3+FST3+SMUT3+NVT3+BSUT3+SJT3+HIT3+UTEPT3+RiceT3+

STSMU4+TFS4+TNV4+TBSU4+TSJ4+THI4+TUTEP4+TRice4+TLT4+FST4+SMUT4+NVT4+BSUT4+SJT4+HIT4+UTEPT4+RjceT4+ TSMU5+TFS5+TNV5+TBSU5+TSJ5+THI5+TUTEP5+TRjce5+TLT5+FST5+SMUT5+N\1T5+BSUT5+SJT5+HIT5+UTEPT5+RjceT5+

S TSMU6+TFS6+TNV6+TBSU6+TSJ6+THI6+TUTEP6+TRICe6+TLJT6+FST6+SMUT6+N\1T6+BSUT6+SJT6+HIT6+UTEPT6+RICeT6+ TSMU7+TFS7+TNV7+TBSU7+TSJ7+THI7+TtJTEP7+TRjce7+TLT7+FST7+SMtJT7+NVT7+BSIJT7+SJT7+HIT7+UTEPT7+RjceT7+

5TSMU8+TFS8+TNV8+TBSU8+TSJ8+THI8+TUTEP8+TRice8+TLT8+FST8+SMUT8+NVT8+BStJT8+SJT8+HIT8+UTEPT8+Ricer8+ TSMU9+TFS9+TNV9+TBSU9+TSJ9+THI9+TUTEP9+TRice9+TLT9+FST9+SMUT9+NVT9+BSUT9+SJT9+HIT9+tJTEPT9+RjceT9+

5TSMU1O+TFS1O+TNV1O+TBSU1Q+TsJ1o+THI1O+TUTEP1O+TRicelo+TLT1O+FsT1O+SMUT1O+NVT1O+BsUT1Q+SJT1O+HIT1O +RiceTlO-i-LTT10<=1

STSMU11+TFS11+TNV11+TBSTJ11+TSJ11+THI11+TUTEP11+TRjcell+TLT11+FST11+SMU'rll+NVTll+BStJTll+SJTll+HITll

S+RjceT11+LTT11<=1 TSMU12+TFS12+TNV12+TBSU12+TSJ12+THI12+TUTEP12+TRicel2+TLT12+FST12+SMUT12+NVT12+BSUT12+SJT12+HIT12

•+RiceTl2+LTT12<=1

5BSUSMU1+BSUFS1+BSUNV1+BSUT1+BSUSJ1+BSUHI1+BsUUTEP1+BsuRicel+BsULT1+FsBsU1+sMUBsU1+NVBstJ1+TBsU1+sJ +HIBSU1+UTEPBSU1+Rj ceBSU1+LTBSU1<= 1

•BSUSMU2+BSUFS2+BSUNV2+BSUT2+BSUSJ2+BSUHI2+BSUUTEP2+BSURICe2+BSULT2+FSBSU2+SMUBSU2+NVBSU2+TBSU2+SJ +HIBSU2+TJTEPBSTJ2 +RiceBSU2 +LTBSTJ2<=1

S +HIBSTJ3 +UTEPBStJ3 +RIceBSU3 +LTBSU3<=1

S +HIBSU4 +tJTEPBSU4+Rj ceBSTj4 +LTBSU4<=1 BSUSMU5+BSUFS5+BSUNV5+BStJT5+BSUSJ5+BSUHI5+BSUUTEP5+BSURjce5+BSULT5+FSBSU5+SMUBSU5+NVBStJ5+TBSU5+SJ

5+HIBSU5+UTEPBSU5+R±ceBsu5+LTBSU5<=1

5+HIBsu6+UTEPBSU6+R±ceBSu6+LTBSU6<=1 BSUSMU7+BSUFS7+BStJNV7+BSUT7+3SUSJ7+BSUHI7+BSUUTEP7+BSURjCe7+BSULT7+FSBSU7+SMUBSU7+NVBSU7+TBSU7+SJ

+HIBSU7+UTEPBSU7+RiceBSU7+LTBSU7<=1 BSUSMU8+BSUFS8+BSUNV8+BSUT8+BSUSJ8+BSUHI8+BSUUTEP8+BSURice8+BSULT8+FSBSUB+SMUBSUS+NVBSU8+TBSU8+SJ

•BSUSMIJ9+BSUFS9+BSUNV9+BSUT9+BSUSJ9+BSUHI9+BSUUTEP9+BSURice9+BSULT9+FSBSU9+SMUBSU9+NVBSU9+TBSU9+SJ

S +HIBSU9 +tJTEPBSU9 +RiceBSU9+LTBSU9<=1

S BSUSMU1O+BSUFS1O+BSUNV1O+BSUT1O+BSUSJ1O+BSUHI1O+BSUTJTEP1O-i-BSURice1O-i-BSULT1O+FSBSU1O-i-SMUBSU1O+NVBS +TBSU10+SJBSU1O+HIBSU10+UTEPBSU10+RIceBSU10+LTBSU10<=1

.BSUSMU11+BSUFS11+BSUNV11+BSUT11+BSUSJ11+BSUHI11+BSUUTEP11+BSURice11+BSULT11+FSBSU11+SMtJBSU11+NVBS +TBSU11+SJBSU11+HIBSU11+UTEPBSU11+RiceBSU11+LTBSU11<=1

5 BSUSMTJ12+BSUFS12+BSUNV124-BSUT12+BSUSJ12+BSUHI12+BSUUTEP12+BSURice12+BSULT12+FSBSU12+SMUBSU12+NVBS +TBSU12 +SJBSU12 +HIBSU12 +UTEPBStJ12 +RiceBSU12 +LTBStJ12<=1

SSJSMU1+SJFS1+SJNV1+SJT1+SJBSU1+SJHI1+SJUTEP1+SJRicel+SJLT1+FSSJ1+SMUSJ1+NVSJ1+TSJ1+BSUSJ1+HISJ1+U

•

..

SJSMU2+SJFS2+SJNV2+SJT2+SJBSU2+SJHI2+SJUTEP2+SJRice2+SJLT2+FSSJ2+SMUSJ2+NVSJ2+TSJ2+BSUSJ2+HISJ2+U -1-RiceSJ2-I-LTSJ2<=1 SJSMU3-'-SJFS3+SJNV3+SJT3+SJBSU3+SJHI3+SJUTEP3+SJRIce3+SJLT3+FSSJ3+SMtJSJ3+NVSJ3+TSJ3+BSUSJ3+HISJ3+U +RiceSJ3+LTSJ3<=1

5 SJSMU4+SJFS4+SJNV4+SJT4+SJBSU4+SJHI4+SJUTEP4+SJR±ce4+SJLT4+FSSJ4+SMUSJ4+NVSJ4+TSJ4-i-BSUSJ4-i-HISJ4+U +RiceSJ4+LTSJ4<=1

5 SJSMU5+SJFS5+SJNV5+SJT5+SJBSU5+SJHI5+SJUTEP5+SJRIce5+SJLT5+FSSJ5+SMUSJ5+NVSJ5+TSJ5+BSUSJ5-i-HISJ5+U +RiceSJ5+LTSJ5<=1

S SJSMU6+SJFS6+SJNV6+SJT6+SJBSU6+SJHI6+SJUTEP6+SJRice6+SJLT6+FSSJ6+SMUSJ6+NVSJ6+TSJ6+BSUSJ6+HISJ6+U

.+RiceSJ6+LTSJ6<=1 SJSMU7+SJFS7+SJNV7+SJT7+SJBSU7+SJHI7+SJtJTEP7+SJRice7+SJLT7+FSSJ7+SMUSJ7+NVSJ7+TSJ7+BSUSJ7+HISJ7-s-U

•SJSMU8+SJFS8+SJNV8+SJT8+SJBSUS+SJHIS+SJUTEP8+SJRIce8+SJLT8+FSSJB+SMUSJ8+NVSJ8+TSJ8+BSUSJ8+HISJ8+U 5+RiceSJ8+LTSJ8<=1

SJSMtJ9+SJFS1+SJNV1+SJT1+SJBSU1+SJHI1+SJUTEP1+SJRicel+SJLT1+FSSJ9+SMUSJ9+NVSJ9+TSJ9+BSUSJ9+HISJ9+U •+RICeSJ9 +LTSJ9<=1

SJSMU1O+SJFS1O+SJNV1O+SJT1O+SJBSU1O+SJHI1O+SJUTEP1O+SJR1ce1O+SJLT1O+FSSJ1O+SMUSJ1O+NVSJ1O+TSJ1O+B 5 +HISJ1 O+tJTEPSJ1O+RiceSJl

SSJSMU11+SJFS11+SJNV11+SJT11+SJBSU11+SJHI11+SJUTEP11+SJRicell+SJLT11+FSSJ11+SMtJSJ11+NVSJ11+TSJ11+B +HISJ11+UTEPSJ11+RiceSJll+LTSJ11<=1

S SJSMU12+SJFS12+SJNV12+SJT12+SJBSU12+SJHI12+SJUTEP12+SJRicel2+SJLT12+FSSJ12+SMtJSJ12+NVSJ12+TSJ12+B

S +H1SJ12 +tJTEPSJ12 +RiceSJl2 +LTSJ12<=1

HISMtJ1+HIFS1+HINV1+HIT1+HIBSU1+HISJ1+HItJTEP1+HIRjcel+HILT1+FSHI1+SMUHI1+NVHI1+THI1+BSUHI1+SJHI1+U 5 -e-RiceHIl+LTHI1<=1

HISMU2+HIFS2+HINV2+HIT2+HIBSU2+HISJ2+HIUTEP2+HIRice2+HILT2+FSHI2+SMtJHI2+NVHI2+THI2+BSUHI2+SJHI2+tJ •+RiceHI2+LTHI2<=1

SS

HISMU3+HIFS3+HINV3+HIT3+HIBSU3+HISJ3+HIUTEP3+HIRice3+HILT3+FSHI3+SMUHI3+NVHI3+THI3+BStJHI3+SJH13+U +RiceHI3 +LTHI3<=1 HISMU4+HIFS4+HINV4+HIT4+HIBSU4+HISJ4+HIUTEP4+HIR±ce4+HILT4+FSHI4+SMUHI4+NVHI4+THI4+BSUHI4+SJHI4+tJ +RiceHI4+LTHI4<=1

+RiceHI5+LTHI5<=1 •HISMU6-I-HIFS6-fHINV6+HIT6+HIBSU6+HISJ6+HIUTEP6+HIRjce6+HILT6-fFSHI6+SMUHI6+NVHI6+THI6+BStJHI6+SJHI6+U

+RiceHI6+LTHI 6<1

S+RjceHI7+LTHI7<=1 HISMU8+FIIFS8+HINV8+HIT8+HIBSU8+HISJ8+HIUTEPB+HIRiceB+HILT8+FSHI8+SMUHI8+NVHIS+THIS+BStJHI8+SJHIB+tJ

S +RjceHI 8+LTHI8<=1

5+RiceHI9+LTHI9<=1 HISMU1O+HIFS1O+HINV1O+HIT1O+HIBSU1O+HISJ1O+HIUTEP1O+HIRicelO+HILT1O+FSHI1O+SMUHI1O+NVHI1O+T}jIlO+B

•+SJHI10+UTEPHI10+RiceHI10+LTHI10<=1 HISMU11+HIFS11+HINV11+HIT11+HIBSU11+HISJ11+HIUTEP11+HIRicell+HILT11+FSHI11+SMUHI11+NVHI11+THI11-i-B

S+SJHI11+IJTEPHI11+RjceHIll+LTHI11<=1

S+SJHI12+UTEPHI12+RiceHIl2+LTHI12<=1

•+BSUUTEP1+SJtJTEP1+HIUTEP1+RiceUTEP1+LTtJTEP1(= 1

BSUUTEP2 +SJUTEP2 +HIUTEP2 +RIceUTEP2 +LTtJTEP2<=1 UTEPSMtJ3+UTEPFS3+UTEPNV3+UTEPT3+UTEPBSU3+tJTEPSJ3+UTEPHI3+UTEPRiCe3+UTEPLT3+FSUTEP3+SMUUTEP3+NVUTE

S+BSUUTE p3 +SJUTEP3 +HItJTEP3 +RiceUTEP3 +LTtJTEP3<=1

+BSUUTEP4 +SJUTEP4 +HIUTEP4+R jcetJTEP4+LTtJTEP4<= 1 UTEPSMU5+UTEPFS5+UTEPNV5+UTEPT5+UTEPBSU5+UTEPSJ5+UTEPHI5+UTEPRIce5+UTEPLT5+FSUTEP5+SMUUTEp5+NvtjrE +BSUUTEP5+SJUTEP5+HIUTEP5+RjCeIJTEP5+LTTJTEP5<=1

+BSTJTJTEP6 +SJtJTEP6 +HIUTEP6 +RiceUTEP6 +LTUTEP6<=1 •TEPSMU7+tJTEPFS7+UTEPNV7+UTEPT7+UTEPBSU7+UTEPSJ7+UTEPHI7--UTEPRjce7+tJTEpLT7+FSUTEp7+SMUUTEp7+NVUTE

+BSUUTEP7 +SJUTEP7 +HIUTEP7 +RiceUTEP7 +LTUTEP7<= 1

UTEPSMU8+UTEPFS8+UTEPNV8+UTEPT8+tJTEPBSU8+UTEPSJ8+UTEPHI8+UTEPRice8+tJTEPLT8+FSUTEP8+SMUUTEP8+NVUTE •+BStJtJTEP8+SJUTEP8+HIUTEP8+RiceUTEP8+LTUTEP8<=1

+BSUUTEP9 +SJUTEP9 +HIUTEP9+RiceUTEP9+LTtJTEP9<=1 OUTEPSMU10+UTEPFS10+UTEPNV10+UTEPT10+UTEPBSUIO+UTEPSJ10+UTEPHI10+UTEPRicelO+UTEPLT10+FSUTEP10+SMUU

.S

+NVtJTEP1O+TUTEP1O+BSUUTEP1 O+SJUTEP1O+HIUTEP1O+RIceUTEP1O+LTUTEP1O<=1 UTEPSMU11+UTEPFS11+UTEPNV11+UTEPT11+UTEPBSU11+UTEPSJ11+UTEPHI11+UTEPRice11+UTEPLT11+FSUTEP11+SMUU -1-NVUTEP11+TUTEP11+BSUUTEP1 1+SJUTEP1 1+HIUTEP1 1+RiceUTEP11+LTUTEP11<=1 UTEPSMtJ12+UTEPFS12+UTEPNV12+tJTEPT12+UTEPBSU12+UTEPSJ12+UTEPHI12+UTEPRice12+UTEPLT12+FSUTEP12+SMUU

5 +NVTJTEP12 +TtJTEP12+BStJtJTEP12 +SJUTEP12 +HIUTEP12 +RiceUTEP12 +LTTJTEP12<=1

5 RiceSMU1+RIceFS1+RiceNVl+RiceTl+RIceBSU1+RIceSJ1+RiceHIl+RiceUTEP1+RiceLTl+FSRicel+SMtJRIce1+NVRIc +BSURice1+SJRicel+HIRicel+UTEPRice1+LTRIce1<=1 5 RiceSMU2 +RiceFS2+RiceNV2 +RiceT2 +RiceBSU2 +RiceSJ2+RiceHI2 +RIceUTEP2+RiceLT2 +FSRice2 +SMURice2 +NVRic

.+BSURice2+SJRIce2 +HIRice2 +UTEPRIce2 +LTRIce2<=1 RiceSMU3+RiceFS3+RiceNV3+RiceT3+RiceBSU3+RiceSJ3+RiceHI3+RIceUTEP3+RiceLT3+FSRice3+SMURice3+NVRic

5 +BSURice3 +SJRice3 +HIRice3 +tJTEPRIce3 +LTR±ce3<=1 RiceSMU4+RiceFS4+RIceNV4+RiceT4+RIceBSU4+RiceSJ4+RiceHI4+RiceUTEP4+RiceLT4+FSRice4+SMURice4+NVRic

5 +BSURice4+SJRice4+HIRice4+UTEPRice4+LTR1ce4<=1 RiceSMUS+RIceFS5+RiceNVS+RiceT5+RIceBSU5+RiceSJ5+RiceHI5+RiceUTEP5+RiceLT5+FSRice5+SMURice5+NVR1c

5 +BStJRjce5-i-SJRice5+HIRjce5+tJTEPRIce5+LTRIce5<=1 RiceSMU6+RiceFS6+RIceNV6+RiceT6+RiceBSU6+R1ceSJ6+RiceHI6+RiceUTEP6+RiceLT6+FSRice6+SMURice6+NVR1c 5 +BSURice6+SJRice6+HIRice6+UTEPRice6+LTRice6<=1

.RIceSMU7 +RiceFS7 +R1ceNV7 +RiceT7 +RIceBSU7 +RiceSJ7+RiceHI7+RiceUTEP7+RIceLT7+FSRice7 +SMURice7+NVRic +BSURice7+SJR±ce7 +HIR jce7 +UTEPRice7 +LTRice7<=1

•RiceSMtJ81RiceFS8+RiceNV8+RiceT8+RiceBSU8+RiceSJ8+RiceHI8+RiceUTEP8+RiceLT8+FSRice8+SMURice8+NVRic +BSURice8+SJRice8+HIRice8+UTEPRice8 +LTRice8<=1

•RiceSMU9+R±ceFS9+RiceNV9+RiceT9+RiceBSU9+RiceSJ9+RiceHI9+RiceUTEP9+RiceLT9+FSRiCe9+SMURiCe9+NVRIc -i-BSURice9+SJRice9-i-HIRice9 +UTEPRice9 +LTRice9<=1

•RIceSMU1O+RIceFS1O+RiceNVlO+RiceTlO+RiceBSU1O+RIceSJ1O+RiceHIlO+RIceUTEP1O+RIceLT1O+FSRIce1O+SMijR +NVRicelO+TRicelO+BSURice1O+SJRicelO+HIRicelO+UTEPRice1 O+LTRicelO<=1

S+NVRjCe11+TRicell-f-BSURice11+SJRicell+HIRicell+UTEPR1ce11+LTRicell<=1 RiceSMU12-1-RiceFSl2+RIceNV12+RiceTl2+RiceBSU12+RiceSJl2+RiceHIl2+RiceUTEP12+RiceLTl2+FSRicel2+SMUR

5 +N\iRjcel2 +TRicel2+BSURice12 +SJRicel2+HIRicel2+tJTEPRicel2 +LTRicel2<=1

•LTSMU1+LTFS1+LTNV1+LTT1+LTBSU1+LTSJ1+LTHI1+LTUTEP1+LTRicel+FSLT1+SMULT1+NVLT1+TLT1+BSULT1+SJLT1+H +UTEPLT1+R1ceLT1<=1

•LTSMU2+LTFS2+LTNV2+LTT2+LTBSU2+LTSJ2+LTHI2+LTUTEP2+LTRice2+FSLT2+SMULT2+NVLT2+TLT2+BSULT2+SJLT2+H +UTEPLT2 +RiceLT2<=1

•LTSMU3 +LTFS3 +LTNV3 +LTT3 +LTBSiJ3 +LTSJ3 +LTHI3 +LTUTEP3 +LTRice3 +FSLT3 +SMTJLT3 +NVLT3 +TLT3 +BSULT3 +SJLT3 +H

SS

+tJTEPLT3 +RiceLT3<r1 LTSMU4+LTFS4+LTNV4+LTT4+LTBSU4+LTSJ4+LTHI4+LTUTEP4+LTRice4+FSLT4+SMULT4+NVLT4+TLT4+BSULT4+SJLT4+H +UTEPLT4 +RIceLT4<=1 LTSMtJ5+LTFS5+LTNV5+LTT5+LTBSU5+LTSJ5+LTHI5+LTUTEP5+LTRice5+FSLT5+SMULT5+NVLT5+TLT5+BSULT5+SJLT5+H

•+UTEPLT5+RiceLT5<=1 LTSMU6+LTFS6+LTNV6+LTT6+LTBSU6+LTSJ6+LTHI6+LTUTEP6+LTRice6+FSLT6+SMULT6+NVLT6+TLT6+BSULT6+SJLTG+H

•-l-tJTEPLT6+RICeLT6<=1 LTSMU7+LTFS7+LTNV7+LTT7+LTBSU7+LTSJ7+LTHI7+LTUTEP7+LTRice7+FSLT7+SMULT7+NVLT7+TLT7+BSULT7+SJLT7+H

S+UTEPLT7 +RiceLT7<=1

SS

LTSMtJ8+LTFS8+LTNV8+LTTB+LTBSU8+LTSJ8+LTHI8+LTUTEP8+LTRice8+FSLT8+SMtJLT8+NVLT8+TLT8+BSULT8+SJLT8+H +UTEPLT8+RiceLT8<=1 LTSMtJ9+LTFS9+LTNV9+LTT9+LTBSU9+LTSJ9+LTHI9+LTUTEP9+LTRice9+FSLT9+SMULT9+NVLT9+TLT9+BSULT9+SJLT9+H +UTEPLT9+RiceLT9<=1

•LTSMTJ1O+LTFS1O+LTNV1O+LTT1O+LTBSU1O+LTSJ1O+LTHI1O+LTUTEP1O+LTRicelO+FSLT1O+SMULT1O+NVLT1O+TLT1O+B +SJLT10+HILT1 O+UTEPLT1O+RiceLTlO<=1

•LTSMU11+LTFS11+LTNV11+LTT11+LTBSU11+LTSJ11+LTHI11+LTUTEP11+LTRIce11+FSLT11+SMULT11+NVLT11+TLT11+B +SJLT11+HILT11+UTEPLT11+RiceLTll<=1

•+SJLT12+HIIT12 +UTEPLT12 +RIceLT12<=1

S SMUNV + NVSMU <= 1 SMUFS + FSSMU <= 1

•MUBSU + BSUSMU <= 1 SMUSJ + SJSMTJ <= 1

5SMUHI + HISMU <= 1 SMUUTEP + UTEPSMU <= 1

SSMURice + RiceSMU <= 1

SSMULT + LTSMU <= 1 SMUT + TSMU <= 1

SMUNV + NVSMU <= 1 ONVFS + FSNV <= 1

NVBSU + BSUNV <= 1 .JvsJ + SJNV <= 1

NVHI + HINV <= 1

NVUTEP + UTEPNV <= 1 NVRice + RiceNV <= 1

ONVLT + LTNV <= 1

0NVT + TNV <= 1

.

.FSNV + NVFS <= 1 SMUFS + FSSMU <= 1 FSBSU + BSUFS <= 1 FSSJ + SJFS <= 1

OFSHI + HIFS <= 1 FSUTEP + UTEPFS <= 1

• FSRice + RIceFS <= 1 FSLT + LTFS <= 1

OFST + TFS <= 1

TNV + NVT <= 1 . TFS + FST <= 1

TESU + BSUT <= 1 TSJ + SJT <= 1 THI + HIT <= 1 TUTEP + UTEPT <= 1 TRice + RiceT <= 1

OTLT + LTT <= 1 SMUT + TSMU <= 1

• BSUNV + NVBSU <= 1 BSUFS + FSBSU <= 1 SMUESU + BSUSMU <= 1 BSUSJ + SJBSU < 1 BSUHI + HIBSU <= 1 BSUUTEP + UTEPBSU <= 1

OBSURice + RiceBSU <= 1

.

BSULT + LTBSU <= 1 BSUT + TBSU <= 1

SJNV + NVSJ <= 1 SJFS + FSSJ <= 1 SJBSU + BSUSJ <= 1

OSMUSJ + SJSMU <= 1 SJHI + HISJ <= 1 SJUTEP + UTEPSJ <= 1

.

SJRIce + RiceSJ <= 1 SJLT + LTSJ <= 1

• SJT + TSJ <= 1

OUTEPNV + NVtJTEP <= 1 UTEPFS + FSUTEP <= 1 UTEPBSU + BSUUTEP <= 1 UTEPSJ + SJUTEP <= 1 UTEPHI + HIUTEP <= 1

.

.SMUUTEP + UTEPSMU <= 1 UTEPRice + RiceUTEP <= 1 UTEPLT + LTUTEP <= 1 UTEPT + TUTEP <= 1 .

RiceNV + NVRIce <= 1 • RiceFS + FSRice <= 1

RiceBSU + BSURice <= 1 •RIceSJ + SJRice <= 1

.

.RiceHI + HIRice <= 1 RIceUTEP + UTEPRice <= 1 SMUR1ce + RiCeSMU < R1ceLT + LTRice <= 1

•RiceT + TRice <= 1

•LTNV + NVLT <= 1 LTFS + FSLT <= 1

•LTBSU + BSULT <= 1

.

LTSJ + SJLT <= 1 LTHI + HILT <= 1 LTUTEP + UTEPLT <= 1 .LTRice + RiceLT <= 1

•SMULT + LTSMU <= 1 LTT + TLT <= 1

•SMUFS1+SMUNV1-4-SMUT1+SMUBSU1+SMUSJ1+SMUHI1+SMUUTEP1+SMURice1+SMIJLT1+

SMUFS2-I-SMtJNV2-I-SMUT2-I-SMUBSU2+SMUSJ2+SMUHI2+SMTJUTEP2+SMURIce2+SMULT2-f-SMUFS3 +SMUNV3 +SMUT3 -i-SMUBSU3 +SMIJSJ3 +SMTJHI3 +SMUUTEP3 +SMIJRIce3 +SMtJLT3 +

•SMUFS5+SMUNV5+SMUT5+SMUBSU5+SMUSJ51-SMUHI5+SMIJUTEP5-I-SMIJRice5+SMULT5+

S SMUFS6+SMUNV6+SMUT6+SMUBSU6+SMUSJ6+SMUHI6+SMUUTEP6+SMtJRice6+SMtJLT6+

.S

SMUFS7+SMUNV7+SMUT7+SMUBSU7+SMUSJ7+SMUHI7+SMUUTEP7+SMURice7+SMtJLT7+ SMUFS8+SMUNV8+SMUT8+SMUBSU8+SMUSJ8+SMtJHI 8+SMUUTEP8+SMURice8+SMULT8+ SMUFS9+SMUNV9+SMUT9+SMTJBSU9+SMUSJ9+SMUHI9+SMUUTEP9+SMUR1ce9+SMULT9+ SMUFS1O+SMUNV1O+SMUT1O+SMUBSU1O+SMUSJ1O+SMUHI1O+SMUUTEP1O+SMURicelO+SMULT1O+

5 SMUFS11+SMUNV11+SMUT11+SMUBSU11+SMUSJ11+SMUHI11+SMUtJTEP11+SMURice11+SMULT11+ . SMUFS12+SMU1N12+SMUT12+SMUBSU12+SMUSJ12+SMUHI12+SMUUTEP12+SMURice12+SMULT12>=3

SMUFS1+SMUNV1+SMUT1+SMUBSU1+SMUSJ1+SMIJHI 1+SMUUTEP1+SMURice1+SMULT1+ 5 SMUFS2+SMUNV2+SMtJT2-i-SMUBSU2+SMUSJ2+SMUHI2+SMUUTEP2+SMURice2+SMULT2-i-

SSMUFS3+SMUNV3+SMUT3+SMUBSU3+SMUSJ3+SMUHI3+SMUtJTEP3+SMURice3+SMtJLT3+ SMUFS4+SMUNV4+SMUT4+SMtJBStJ4+SMtJSJ4+SMUHI4+SMUUTEP4+SMURice4+SMULT4+

S SMUFS5+SMUNV5+SMUT5+SMUBStJ5+SMUSJ5+SMUHI5+SMUUTEP5+SMURice5+SMULT5+ SMTJFS6-s-SMUNV6+SMUT6+SMUBSU6+SMTJSJ6+SMtJHI 6+SMUUTEP6+SMURice6+SMULT6-4-

5 SMIJFS7+SMUNV7+SMIJT7+SMUBSU7+SMIJSJ7+SMtJHI7+SMTJUTEP7+SMURice7+SMULT7+ SMUFS8+SMUNV8+SMUT8+SMUBSU8+SMUSJ8+SMUHI8+SMUUTEP8+SMURIce8+SMULT8+

5 SMUFS9+SMUNV9+SMUT9+SMUBSU9+SMUSJ9+SMUHI9+SMUUTEP9+SMURice9+SMULT9+ SMtJFS1O+SMUNV1O+SMUT1O+SMUBSU1O+SMUSJ1O+SMUHI1O+SMUUTEP1O+SMtJRIce1O+SMULT1O+ S SMtJFS11-i-SMUNV11+SMtJT11+SMUBSU11+SMUSJ11+SMUHI11+SMUUTEP11+SMURIce11+SMtJLT11+ SMUFS12+SMIJNV12+SMUT12+SMUBSU12+SMUSJ12+SMUHI12+SMUUTEP12+SMtJRicel2+SMULT12<=4

5 NVSMtJ1+NVFS1+NVT1+NVBSU1+NVSJ1+NVHI1+NVUTEP1+NVRicel+NVLT1+ NVSMU2 -4-NVFS2 -4-NVT2 +NVBSU2 +NVSJ2 --NVHI2 +NVtJTEP2 +NVRice2 +NVLT2 +

5 NVSMU3+NVFS3+NVT3-i-NVBSU3+NVSJ3+NVHI3+NVUTEP3+NVRice3+NVLT3+ NVSMU4+NVFS4+NVT4+NVBSU4+NVSJ4+NVHI4+NVtJTEP4+NVRice4+NVLT4+

5 NVSMU5+NVFS5+NVT5+NVBSU5+NVSJS+NVHI5+NVtJTEP5+NVRice5+NVLT5+ NVSMU6+NVFS6+NVT6+NVBSU6+NVSJ6+NVHI6+NVUTEP6+NVRice6+NVLT6+

5 NVSMU7 +NVFS7 +NVT7 +NVBSU7 +NVSJ7 +NVHI 7 +NVtJTEP7 +NVRice7 +NVLT7 +

SNVSMU8+NVFS8+NVT8+NVBStJ8+NVSJ8+NVHI8+NVIJTEP8+NVRice8+NVLT8+ NVSMU9+NVFS9+NVT9+NVBStJ9+NVSJ9+NVHI9-i-NVUTEP9+NVRice9+NVLT9+

S NVSMtJ1O+NVFS1O+NVT1O+NVBStJ1O+NVSJ1O+NVHI1O+NVUTEP1O+NVRIce1O+NVLT1O+ NVSMU11+NVFS11+NVT11+NVBSU11+NVSJ11+NVHI11+NVUTEP11+NVRIce11+NVLT11+

•NVSMU12+NVFS12+NVT12+NVBSU12+NVSJ12+NVHI12+NxTQTEP12+NVRicel2-4-NVLT12>=3

ONVSMUI+NVFS1+NVT1+NVIBSU1+NVSJ1+NVHI1+NVTJTEP1+NVRicel+NVLT1+ NVSMU2 +NVFS2 -i-NVT2 +NVBStJ2 +NVSJ2 +NVHI2 +NVrJTEP2 +NVRIce2 +NVLT2 +

5 NVSMU3 +NVFS3 +NVT3 +NVBStJ3 +NVSJ3 +NVHI 3 +NVUTEP3 +NVRice3 +NVLT3 +

SS

NVSMU4 -s-NVFS4 +NVT4 +NVBSU4 +NVSJ4 +NVHI 4 +NVtJTEP4 +NVRice4 -1-NVLT4 + NvSMU5+NVFS5+Nv'r5+NvBsu5+NvsJ5+NvHI5 +NIJtJTEP5+NVRice5+NVLT5+ NVSMU6+NVFS6+NVT6+NVBSU6+NVSJ6+NVHI6+NVUTEP6+NVRice6+NVLT6 + NVSMU7 -4-NVFS7 +NVT7 +NVBSU7 +NVSJ7 +NVHI 7 +NVtJTEP7 +NVRice7 +NVLT7 +

•NVSMU8+NVFS8+NVT8+NVBSU8 +NVSJ8+NVHI 8+NVUTEP8+NVRice8-4-NVLT8+ NVSMU9+NVFS9+NVT9+NVBSU9+NVSJ9+NVHI9+NVUTEP9+NVRIce9+NVLT9+

•NVSMtJ1O+NVFS1O+NVT1O+NVBSU1O+NVSJ1O+NVHI1O+NVuTEP1O+NVRicelO+NVLT1O+ NVSMU11-1-NVFS11-l-NVT11+NVBSU11+NVSJ11+NVHI11+NVUTEP11+NVRicell+NVLT11+

SNVSMU12+NVFS12+NVT12+NVBSU12+NVSJ12+NVHI12+NVUTEP12+NVRicel2+NVLT12<=4

SFSSMU1+FSNV1+FST1+FSBSU1+FSSJ1+FSHI1+FStJTEP1+FSRicel+FSLT1+

SFSSMTJ2 +FSNV2 +FST2 +FSBSU2 +FSSJ2 +FSHI2 +FSUTEP2 +FSRice2 +FSLT2+ FSSMU3 -i-FSNV3 +FST3 +FSBSU3 +FSSJ3 +FSHI3 +FSUTEP3 +FSRIce3 +FSLT3 +

5FSSMU4+FSNV4+FST4i-FSBSU4+FSSJ4+FSHI4+FSUTEP4+FSRice4-i-FSLT4+ FSSMU5+FSNV5+FST5-i-FSBSU5+FSSJ5+FSHI5+FSUTEP5+FsRjce5+FSLr5+

•FSSMU6+FSNV6+FST6+FSBSU6+FSSJ6+FSHI 6+FSUTEP6 +FSRice6 +FSLT6+ FSSMU7+FSNV7+FST7+FSBSU7+FSSJ7+FSHI7 +FSUTEP7+FSRice7+FSLT7 +

•FSSMU8+FSNV8+FST8+FSBSU8+FSSJ8+FSHI8 +FSUTEP8+FSRice8+FSLTB-4-

SFSSMU9+FSNV9+FST9+FSBSU9+FSSJ9 +FSHI9+FSUTEP9-4-FSRice9+FSLT9 + FSSMU1O+FSNV1O-4-FST1O+FSBSU1O+FSSJ1O-I-FSHI1O+FSUTEP1O+FSRicelO-3-FSLT1O+

S FSSMU11+FSNV11+FST11+FSBSU11-4-FSSJ11+FSHI11+FSUTEP11+FSRjcell+FSLT11-I- FSSMU12+FSNV12+FST12+FSBSU12+FSSJ12+FSHI12+FSTJTEP12+FSRjcel2+FSLT12>=3

S FSSMU1+FSNV1+FST1+FSBSU1+FSSJ1+FSHI1+FSUTEP1+FSRicel+FSLT1+ 5FSSMU2 -i-FSNV2 +FST2 +FSBSU2 +FSSJ2 +FSHI2+FSUTEP2 +FSRice2 +FSLT2 +

FSSMU3 +FSNV3 +FST3 +FSBSU3 +FSSJ3 +FSHI3 +FSUTEP3 +FSRice3 +FSLT3+ SF SSMU4+FSNV4+FST4+FSBSU4+FSSJ4+FSHI4+FStJTEP4+FSRIce4+FSLT4-i-

SFSSMTJ5+FSNV5+FST5+FSBSU5+FSSJ5-i-FSHI 5-1-FSUTEP5+FSRice5-4-FSLT5+ FSSMtJ6-f-FSNV6+FST6+FSBSU6+FSSJ6-+-FSHI 6-I-FStJTEP6+FSRIce6-4-FSLT6+ FSSMtJ7+FSNV7 +FST7 +FSBSU7 +FSSJ7+FSHI7 +FSUTEP7+FSRice7 +FSLT7+ •FSSMU8+FSNV8+FST8+FSBSU8+FSSJB+FSHI 8+FSUTEP8 +FSRiceS+FSLT8+ FSSMU9+FSNV9 +FST9 +FSBSU9+FSSJ9+FSHI9 +FSUTEP9+FSRice9+FSLT9 + FSSMtJ1O+FSN\T1O+FST1O+FSBSIJ1O+FSSJ1O+FSHI1Q+FSUTEP1Q+FSRjce1Q+FSLT1O+

5FSSMU11+FSNV11+FST11+FSBSu11+FSSJ11+FSHI11+FstyrEpll+FsRicell+FSLT11+ FSSMU12 +FSNV12 +FST12 +FSBStJ12+FSSJ12+FSHI12 +FSUTEP12 +FSRicel2 +FSLT12<=4

TSMU1+TFS1+TNV1+TBSU1+TSJ1+THI1+TUTEP1+TRicel+TLT1+ •TSMU2+TFS2+TNV2+TBSU2+TSJ2+THI2+TUTEP2+TRice2-fTLT2+

TSMU3+TFS3+TNV3+TBStJ3+TSJ3+THI3+TUTEP3+TRice3+TLT3+ •TSMU4+TFS4+TNV4+TBSU4+TSJ4+THI4-i-TUTEP4+TRice4+TLT4+

•TSMU5+TFS5+TNV5+TBSU5+TSJ5+THI5+TUTEP5+TRice5+TLT5+ TSMU6 +TFS6+TNV6+TBSU6+TSJ6+THI 6+TUTEP6+TRiceG+TLT6+ OTSMU7+TFS7+TNV7+TBSU7+TSJ7+THI7+TUTEP7+TRice7+TLT7+

TSMtJ8+TFS8+TNV8+TBSU8+TSJ8+THI8+TUTEP8+TR±Ce8+TLT8+ •TSMU9+TFS9+TNV9+TBSU9-l-TSJ9+THI9+TUTEP9-I-TRice9+TLT9+

TSMU1O+TFS1O+TNV1O+TBSU1O+TSJ1O+THI1O+TUTEP1O+TRicelO+TLT1O+ •TSMU11+TFS11+TNV11+TBSU1 1+TSJ11+THI 11+TUTEP11+TRicell+TLT11+

TSMU12+TFS12+TNV12+TBSU12+TSJ12+THI12+TUTEP12+TRicel2+TLT12>=3

•TSMU1+TFS1+TNV1+TBSU1+TSJ1+THI1+TUTEP1+TRicel+TLT1+ TSMU2 +TFS2+TNV2 +TBSU2 +TSJ2 +THI2 +TUTEP2 +TRice2 +TLT2 + •TSMU3+TFS3.fTNV3+TBSU3-4-TSJ3+THI3-4.TUTEP3+TRice3+TLT3+

TSMU4 +TFS4+TNV4 +TBSU4 +TSJ4 +THI 4 +TUTEP4 +TRice4 +TLT4 + •TSMU5+TFS5+TNV5+TBSU5-I-TSJ5+THI5+TUTEP5+TRice5+TLT5+

TSMtJ6+TFS6+TNV6+TBSU6+TSJ6+THI6+TUTEP6+TRice6+TLT6+ •TSMU74-TFS7+TNV7+TESU7+TSJ7-I-THI7+TUTEP7+TRice7+TLT7+

TSMU8+TFS8+TNV8+TBSU8+TSJ8+THI8+TUTEP8+TRice8+TLT8+ •TSMU9+TFS9--TNV9+TBSU9+TSJ9+THI9+TUTEP9+TRice9+TLT9+

•TSMU1 0+TFS1 O+TNV1 O+TBSU1O+TSJ1O+THI1O-i-TUTEP1O+TRicelO+TLT1 0+ TSMU11+TFS11+TNV11+TBSU11+TSJ11+THI11+TUTEP11+TRicell+TLT11+

•TSMU12+TFS12 i-TNV12 +TBSU12 +TSJ12 +THI12 +TUTEP12 +TRicel2 +TLT12<=4

•BSUSMU1+BSUFS1+BSUNV1+BSUT1+BSUSJ1+BStJHI1+BSUUTEP1+BSUR1ce1+BSULT1+ BSUSMU2+BSUFS2+BStJNV2 +BSUT2 +BSUSJ2 +BSUHI2 +BSUUTEP2 +BSURice2 +BSULT2 +

•BSUSMTJ3+BSUFS3-I-BSUNV3+BSUT3+BSUSJ3+BSUHI3+BSUUTEP3-I-BSURIce3+BSULT3+ BSUSMU4+BSUFS4+BSUNV4+BSUT4+BSUSJ4+BSUHI4+BSUUTEP4+BSURice4+BSULT4+

•BSUSMU5+BSUFS5+BSUNV5+BSUT5+BSUSJ5+BSUHI5+BSUUTEP5-I-BSURice5-fBSULT5+

•BSUSMU6+BSUFS6+BSUNV6+BSUT6+BSUSJ6+BSUHI6+BSUUTEP6+BSURice6+BSULT6+ BSUSMU7 +BSUFS7+BStJNV7 +BSUT7 +BSUSJ7 +BSUHI7+BSUUTEP7+BSURice7 +BSULT7+ •BSUSMU8+BSUFS8+BSUNVB4.BSUT8+BStJSJ8 +BSUHI8-fBSUUTEP8+BSURiceS+BSULT8+

BSUSMU9+BSUFS9+BStJNV9+BSUT9+BSUSJ9+BSUHI9+BSUUTEP9+BStJRice9+BSULT9+ •BSUSMU1 Q+BStJFS1O+BSUNV1O+BStJT1O+BStJSJ1 0+BStJHI1 0+BSUUTEP1O-f-BSUR1ce1O+BSULT1O-4-

BSUSMU11+BSUFS11+BSUNV11+BSUT11+BSUSJ11+BSUHI11+BSUUTEP11+BSURIce11-f-BStJLT11+ •I3SUSMU12 +BSUFS12 +BSUNV12 -i-BStJT12+BSUSJ12 +BStJHI12 -i-BSUUTEP12 +BSURicel2 +BSULT12 >=3

•BSUSMU1+BSUFS1+BStJNV1+BStJT1+BSUSJ1+BSUHI1+BStJUTEP1+BSURicel+BSULT1+

•BSUSMU2+BSUFS2+BStJNV2+BSIJT2+BSUSJ2+BSUHI2+BSUUTEP2+BSURIce2+BSULT2+ BSUSMU3+BSUFS3+BSUNV3+BSUT3+BSUSJ3+BSUHI3+BSUUTEP3+BSURIce3+BSULT3+

•BSUSMU4+BSUFS4+BSUNV4+BSUT4+BSUSJ4+BSUHI4+BSUUTEP4+BSURIce4+BSULT4+ BSUSMU5+BSUFS5+ESUNV5+BSUT5+BSUSJ5+BSUHI5+BSUUTEP5+BSUR±ce5+BStJLT5+ •BSUSMU6+BSUFS6+BSTJNV6+BSUT6+BSUSJ6+BSUHI6+BSUUTEP6+BSURice6.1BSULT6+

BSUSMU7+BSUFS7+BSUNV7+BSUT7+BSUSJ7+BSUHI7+BSUUTEP7+BSURice7+BSULT7+ •BSUSMU8+BSUFS8+BSUNV8+BSUT8+BSUSJ8+BSUHI8+BSUUTEP8+BSURice8+BSULT8+

BSUSMU9+BSUFS9-i-BSUNV9+BSUT9+BSUSJ9+BSUHI9+BSUUTEP9+BSURice9+BSULT9+ SUSMU1O+BSUFS1O+BSUNV1O+BSUT1O+BSUSJ1O+BStJHI1O+BSUUTEP1O+BSURIce1O+BSULT1O+

WB StJSMU11+BSUFS11+BSUNV11+BSUT11+BSUSJ11+BSUHI11+BSUUTEP11+BStJRIce11+BSULT11+

StJSMU12 +BSUFS12 +BSUNV12 +BSUT12 +BSUSJ12 +BSUHI12+BSUUTEP12 +BSURice12+BSULT12<=4 .

SJSMU1+SJFS1+SJNV1+SJT1+SJBSU1+SJHI1-i-SJUTEP1+SJRicel+SJLT1+ •JSMU2+SJFS2+SJ2+SJT2+SJ3SU2+SJHI2+SJUTEP2+SJRjce2+SJLT2+

SJSMU3 +SJFS3 +SJNV3 +SJT3 +SJBSU3 +SJHI3 +SJUTEP3 +SJRice3 +SJLT3 + •SJSMU4+SJFS4+SJNV4+SJT4+SJBSU4+SJHI4+SJUTEP4+SJRice4+SJLT4+

SJSMU5+SJFS5+SJNV5+SJT5-i-SJBSU5+SJHI5+SJUTEP5+SJRice5+SJLT5+ •SJSMU6-fSJFS6-fSJNV6+SJT6-FSJBSU6 +SJHI 6-I-SJUTEP6+SJRIce6+SJLT6-4-

S S JSMtJ7 +SJFS7 +SJNV7 +SJT7-i-SJBSU7-i-SJHI77 -i-SJUTEP7-i-SJRIce7+SJLT7+ JSMU8+SJFS8+SJNV8+SJT8 +SJBSU8+SJHI8+SJUTEP8+SJRIce8+SJLT8+

•JSMU9+SJFS9-I-SJNV9.4.SJT9+SJBSU9+SJHI9+SJUTEP9+SJRice9+SJLT9+ SJSMtJ1O+SJFS1O+SJNV1O+SJT1O+SJBSU1O+SJHI1O+SJUTEP1O+SJRIce1O+SJLT1O+

•JSMU11+SJFS11+SJNV11+SJT11+SJBSU11+SJHI11+SJUTEP11+SJRICe11+SJLT11+

•SJSMU12+SJFS12+SJNV12+SJT12+SJBSU12+SJHI12+SJUTEP12+SJRicel2+SJLT12>=3

SJSMU1+SJFS1+SJNV1+SJT1+SJBSU1+SJHI1+SJUTEP1+SJRicel+SJLT1+ •SJSMTJ2 +SJFS2-i-SJNV2 +SJT2 +SJBSU2 +SJHI2 +SJUTEP2 +SJRice2 +SJLT2 +

JSMU3+SJFS3+SJNV3+SJT3+SJBSU3+SJHI3+SJUTEP3+SJRice3+SJLT3+ •S SJSMU4+SJFS4+SJNV4+SJT4+SJBSU4+SJHI4+SJUTEP4+SJRice4+SJLT4+ SJSMU5+SJFS5+SJNV5+SJT5+SJBSU5+SJHI5+SJUTEP5+sJRice5+SJLT5+ SJSMTJ6+SJFS6+SJNVG-i-SJTG+SJBSU6+SJHI 6+SJUTEP6+SJRice6+SJLT6+

•JSMU7-I-SJFS7+SJNV7+SJT7+SJBSU7+SJHI7+SJUTEP7+SJRice7+SJLT7+ SJSMU8+SJFS8+SJNV8-i-SJT8+SJBSU8+SJHI8+SJUTEP8+SJRIce8-i-SJLT8+

•JSMU9+SJFS9+SJNV9+SJT9+SJBSU9+SJHI9+SJUTEP9+SJRice9-I-SJLT9+ SJSMU10+SJFS10+SJNV10+SJT10+SJBSU10+SJHI10--SJUTEP10+SJRice10+SJLT10+

•SJSMU11+SJFS11+SJNV11+SJT11+SJBSU11+SJHI11+SJUTEP11+SJRIce11+SJLT11+ SJSMU12+SJFS12+SJNV12+SJT12+SJBSU12+SJHI12+SJUTEP12+SJRicel2+SJLT12<=4

HISMU1+HIFS1+HINV1+HIT1+HIBSU1+HISJ1+HIUTEP1+HIRicel+HILT1+ •HISMU2+HIFS2+HINV2+HIT2+HIBSU2-1-HISJ2+HIUTEP2+HIRice2+HILT2-4-

HISMU3+HIFS3+HINV3+HIT3+HIBSU3+HISJ3+HIUTEP3-i-HIRice3+HILT3+ HISMU4+HIFS4+HINV4+HIT4+HIBSU4+HISJ4+HIUTEP4+HIRice4+HILT4+ HISMU5+HIFS5+HINV5+HIT5-I-HIBSU51-HISJ5+HIUTEP5+HIRice5+HILT5+ J-JISMU6-i-HIFS6+HINV6+HIT6+HIBSU6+HISJ6+HIUTEP6+HIRice6+HILT6+

•HISMU7+HIFS7+HINV7+HIT7+HIBSU7+HISJ7+HItJTEP7-I-HIRice7+HILT7+ HISMU8+HIFS8+HINV8+HIT8+HIBSU8+HISJ8+HIUTEP8+HIRice8-'-HILT8+

•HISMU9+HIFS9+HINV9-fHIT9+HIBSU9+HISJ9-fHItJTEP9+HIRice9+HILT9+ HISMU1O+HIFS1O+HINV1O+HIT1O+HIBSU1O+HISJ1O-fHIUTEP1O+HIRicelO+HILT1O+

•HISMU11+HIFS11+HINV11+HIT11+HIBSU11+HISJ11+HIUTEP11+HIRicell+HILT11+ .HISMU12 +HIFS12 +HINV12 +HIT12 +HIBStJ12 +HISJ12 +HIUTEP12 +HIRicel2 +HILT12>=3

HISMU2 +HIFS2-i-HINV2 +HIT2 +HIBSU2 +HISJ2 +HIUTEP2 +HIRice2 +HILT2 + •HISMIJ3+HIFS3+HINV3+HIT3+HIBSU3+HISJ3-l-HIUTEP3+HIRice3+HILT3+

HISMU4+HIFS4+HINV4+HIT4+HIBSU4+HISJ4+HIUTEP4+HIRice4+HILT4+ •HISMU5-4-HIFS5+HINV5-fHIT5+HIBSU5+HISJ5+HIUTEP5+HIRice5+HILT5+

HISMU6+HIFS6+HINV6-s-HIT6-I-HIBSU6+HISJ6 +HIUTEP6+HIRice6+HILT6+ •HISMU7+HIFS7+HINV7+HIT7+HIBSU7-FHISJ7-4-HIUTEP7+HIRice7+HILT7+

•HISMU8+HIFS8+HINV8+HIT8+HIBSU8+HISJ8+HIUTEP8+HIRice8+HILT8+ HISMU9+HIFS9 +HINV9+HIT9+HIBSU9+HISJ9i-HIUTEP9 +HIRice9 -i-HILT9 + •HISMU1O+HIFS1 O+HINV1 Q+HIT1O+HIBStJ1O+HISJJ. O+HIUTEP1O+HIRicelO-i-HILT1O+

HISMU11-I-HIFS11+HINV11+HIT11+HIBSU11+HISJ11-1-HIUTEP11+HIRicell+HILT11+ •HISMU12-FHIFS12 +HINV12+HIT12 +HIBSU12+HISJ12 +HIUTEP12+HIRicel2 +HILT12<=4

•UTEPSMU1+UTEPFS1+UTEPNV1+UTEPT1+UTEPBSU1+UTEPSJ1+UTEPHI1+tJTEPRice1+UTEPLT1+ UTEPSMU2+UTEPFS2+UTEPNV2+UTEPT2+UTEPBSU2+UTEPSJ2+UTEPHI2+UTEPRice2+tJTEPLT2+

•UTEPSMU3+UTEPFS3+UTEPNV3+tJTEPT3-i-UTEPBSU3+UTEPSJ3+UTEPHI3+UTEPRice3+UTEPLT3+ UTEPSMU4 -4-UTEPFS4+UTEPNV4+UTEPT4+UTEPBSU4 +UTEPSJ4 +tJTEPHI4+UTEPRice4 +UTEPLT4 + UTEPSMU5+UTEPFS5+UTEPNV5+tJTEPT5+UTEPBSU5+UTEPSJ5+UTEPHI5+UTEPRIce5+UTEPLT5+ UTEPSMU6+tJTEPFS6+UTEPNV6+UTEPT6+UTEPBSU6+UTEPSJ6+UTEPHI6+UTEPRice6+UTEPLT6+ UTEPSMU7 +UTEPFS7+UTEPNV7 +UTEPT7 +UTEPBSU7 +UTEPSJ7 +UTEPHI7+UTEPRice7 +UTEPLT7+

•UTEPSMU8+UTEPFS8+UTEPNV8+UTEPT8+UTEPBSU8+UTEPSJ8+UTEPHI8-t-UTEPRice8-I-UTEPLT8+ UTEPSMU9+UTEPFS9+UTEPNV9+UTEPT9+UTEPBSU9+UTEPSJ9+UTEPHI9+UTEPRice9+UTEPLT9+

•UTEPSMU1O+UTEPFS1O+UTEPNV1O+UTEPT1O+UTEPBSU1O+UTEPSJ1O-4-UTEPHI1O+tJTEPRice1O+tJTEPLT1O+ UTEPSMTJ11+UTEPFS11+UTEPNV11+UTEPT11+UTEPBSU11+UTEPSJ11+UTEPHI11+UTEPRice11+UTEPLT11+

•UTEPSMIJ12-s-UTEPFS12+UTEPNV12+UTEPT12+UTEPBSU12-i-UTEPSJ12+UTEPHI12+UTEPRice12+UTEPLT12>=3

IUTEPSMU1+UTEPFS1+UTEPNV1+UTEPT1+UTEPBSU1+UTEPSJ1-s-UTEPHI1+UTEPRice1+UTEPLT1+

0UTEPSMU2+UTEPFS2+UTEPN2+UTEPT2+UTEPBSU2+UTEPSJ2+UTEPHI2+UTEPRice2+UTEPLT2+ UTEPSMU3+UTEPFS3+UTEPNV3+UTEPT3+UTEPBSU3+tJTEPSJ3+UTEPHI3+UTEPRIce3+UTEPLT3+ •tJTEPSMtJ4-f-UTEPFS4+UTEPNV4+UTEPT4.4-UTEPBSU4+UTEPSJ4+tJTEPHI4+UTEPRIce4+UTEPLT4+

UTEPSMU5+UTEPFS5+UTEPNV5+UTEPT5+UTEPBSU5+UTEPSJ5+tJTEPHI5+UTEPRice5+UTEPLT5+ •UTEPSMU6+UTEPFS6+UTEPNV6+UTEPT6+UTEPESU6-I-UTEPSJ6-I-UTEPHI6-I-UTEPR±ce6+UTEPLT6+

UTEPSMU7+UTEPFS7+tJTEPNV7+UTEPT7+UTEPBSU7+UTEPSJ7+UTEPHI7+UTEPRice7+UTEPLT7+ •UTEPSMU8+UTEPFS8+UTEPNV8+UTEPT8-i-UTEPBSU8+UTEPSJ8+UTEPHI8-i-UTEPRice8+UTEPLT8+

O•

UTEPSMU9+UTEPFS9+UTEPNV9+UTEPT9+UTEPBSU9+UTEPSJ9+UTEPHI9+UTEPRice9+UTEPLT9+ UTEPSMU1O+UTEPFS1O+UTEPNV1O+UTEPT1O+UTEPBSU1O+UTEPSJ1O+UTEPHI1O+UTEPRice1O+UTEPLT1O+ UTEPSMU11+UTEPFS11+UTEPNV11+UTEPT11+UTEPBSU11+UTEPSJ11+UTEPHI11+UTEPRice11+UTEPLT11+ UTEPSMU12+UTEPFS12+UTEPNV12+UTEPT12+UTEPBSU12+UTEPSJ12+UTEPHI12+UTEPRicel2+UTEPLT12<=4

RiceSMU1+RiceFSl+RiceNV1+RiceTl+RiceBSU1+RiceSJl+RiceHIl+RIceUTEP1+RIceLT1+ •RiceSMTJ2-I-RiceFS2+RiceNV2+RiceT2+RiceBSU2-I-RiceSJ2+RiceHI2-I-RIceUTEP2+RIceLT2+

RiceSMtJ3+RiceFS3+RiceNV3+RiceT3+RIceBSU3+RIceSJ3+RiceHI3+RiceUTEP3 +R±ceLT3+ •RiceSMU4+RIceFS4+RiceNV4+RiceT4-1-RiceBSU4+RiceSJ4+RiceHI4+R1ceUTEP4+RiceLT4+

••

RiceSMU5+RiceFS5+RiceNV5+RiceT5+RIceBSU5+RiceSJ5+RiceHI5+RiceUTEP5+RiceLT5+ RiceSMU6+RiceFS6+RIceNV6+RiceT6+RiceBSU6+RIceSJ6+RiceHI6+RIceUTEP6+RiceLT6 + RiceSMU7.1RiceFS7+RiceNV7+RiceT7+RiceBSU7+RiceSJ7+RiceHI7+RiceUTEP7+RiceLT7+ RiceSMU8+RIceFS8+RiceNV8+RiceTS+RiceBSU8+RiceSJ8+RiceHI 8+RiceUTEP8+RiceLT8+

•RiceSMU9+RiCeFS9+RiceNV9+RICeT9+RiCeBSTJ9+RICeSJ9+RICeHI9+R±CeIJTEP9+RiCeLT9+ RiceSMU1O+RiceFSlO+RiceNVlO+RiceTlO+RiceBSU1O-1-RiceSJlO+RiceHIlO+RicetJTEPlO+RiceLT1O+

•RiceSMU11 .l-RiceFSll+RiceNVll+RiceTll+RIceBSU11+RiceSJll+RiceHI 1 1+RiceUTEP11+RiceLTll+ RiceSMU12 -i-RiceFSl2-i-RiceNVl2 +RiceTl2 +RiceBSUl2 +RiceSJl2 +RiceHIl2 +RiceUTEP12 +RiceLTl2 >=3

•RiceSMU1+RiceFSl+RiceNVl+RiceTl+RiceBSUl+RiceSJl+RiceHIl+RiceUTEP1+RiceLTl+ RiceSMU2 +RiceFS2 +RiceNV2 +RiceT2 +RiceBSU2 +RiceSJ2 +RiceHI2 +RiceUTEP2 +RiceLT2 + •RiceSMU3.fRiceFS3+RiceNV3.f.RiceT3-1RiceBSU3+RiceSJ3+RiceHI3+RiceUTEP3+RiceLT3+

RiceSMU4+RIceFS4+RiceNV4+RiceT4+RiceBSU4+RIceSJ4+RiceHI4+RiceTJTEP4+RjceLT4+ RiceSMU5-,-RiceFS5+RiceNV5+RiceT5+RiceBSU5+RIceSJ5+RiceHI5+RiceUTEP5+RiceLT5-i-

RiceSMU6+RIceFS6+RiceNV6+RiceT6+RiceBSU6 +RiceSJ6+RiceHI 6+RiceUTEP6+RiceLT6+ •RiceSMU7+RIceFS7+RiceNV7+RiceT7+RiceBStJ7+RiceSJ7+RjceHI7+RICeUTEP7+RICeLT7+

RiceSMU8+R±ceFS8+RiceNV8+RiceT8+RiceBSU8+RiceSJ8+RiceHI8+R±ceTJTEP8+RIceLT8+

•RIceSMU9 +RiceFS9 +RiceNV9+RiceT9 +RiceBStJ9 +RiceSJ9 -i-RiceHI9 +RiceUTEP9+RiceLT9+ R1ceSMIJ1O4-RiceFSlO+RiceNVlO+RiceTlO+RiceBSU1O+RiceSJlO+RiceHIlO+RIceUTEP1O+RiceLTlO+

•RIceSMU11+RiCeFS11+RiceNV11+RiceTll+RiceBSU11-fRiceSJll+RiceHIll-fRiceUTEP11+RiceLTll+

S RjceSMU12+RiceFSl2+RjceNVl2+RiceTl2+RIceBSU12+RiceSJl2+RiceHIl2+RiceUTEP12+RIceLT12<=4

S.

LTSMU1+LTFS1+LTNV1+LTT1+LTBSU1+LTSJ1+LTHI1+LTUTEP1+LTRicel+ LTSMU2 +LTFS2 +LTNV2 +LTT2 +LTBSU2+LTSJ2 +LTHI2 +LTUTEP2 +LTRice2+ LTSMU3 +LTFS3 +LTNV3 +LTT3 +LTBSTJ3 +LTSJ3 +LTHI3 +LTUTEP3 +LTRice3+ LTSMU4+LTFS4+LTNV4+LTT4+LTBSU4+LTSJ4+LTHI4+LTUTEP4+LTRice4+

•LTSMU5+LTFS5+LTNV5+LTT5+LTBSU5+LTSJ5+LTHI5+LTUTEP5 +LTRIce5+ LTSMU6+LTFS6+LTNV6+LTT6+LTBSU6+LTSJ6+LTHI 6+LTUTEP6 +LTRIce6+

•LTSMU7+LTFS7+LTNV7 +LTT7 +LTBSU7+LTSJ7 +LTHI7+LTUTEP7+LTRIce7+ LTSMU8+LTFS8+LTNV8+LTT8+LTBSU8+LTSJ8+LTHI8+LTUTEP8+LTRIce8+

•LTSMTJ9 +LTFS9 +LTNV9+LTT9+LTBSU9+LTSJ9 +LTHI 9+LTUTEP9 +LTRice9+

SLTSMU1O+LTFS1O+LTNV1O+LTT1O+LTBSU1O+LTSJ1O+LTHI1O+LTUTEP1O+LTRIce1O+ LTSMU11+LTFS11+LTNV11+LTT11+LTBSU11+LTSJ11+LTHI11+LTUTEP11+LTRice12+

•LTSMU12-i-LTFS12-i-LTNV12+LTT12+LTBSU12+LTSJ12+LTHI12+LTUTEP12+LTRIce12>=3

•LTSMTJ1+LTFS1+LTNV1+LTT1+LTBSU1+LTSJ1+LTHI1+LTTJTEP1+LTRicel+ LTSMtJ2+LTFS2+LTNV2+LTT2+LTBSU2+LTSJ2+LTHI2+LTUTEP2+LTRice2+

•LTSMtJ3 +LTFS3 +LTNV3 +LTT3 +LTBSU3 +LTSJ3 +LTHI3 +LTUTEP3 +LTRice3 + LTSMU4+LTFS4+LTNV4+LTT4+LTBSU4+LTSJ4+LTHI4+LTUTEP4+LTRice4+

SLTSMU5+LTFS5+LTNV5+LTT5+LTBSU5+LTSJ5+LTHI5+LTUTEP5-4-LTRice5 +

SLTSMU6+LTFS6+LTNV6+LTT6+LTBSU6+LTSJ6+LTHI 6+LTUTEP6+LTRice6 + LTSMU7 +LTFS7 +LTNV7 +LTT7 +LTBSU7 +LTSJ7 +LTHI7 +LTUTEP7 +LTRice7 +

S LTSMU8+LTFS8+LTNV8+LTT8-i-LTBSU8+LTSJ8+LTHI8 +LTUTEP8+LTRice8+ LTSMIJ9-i-LTFS9+LTNV9+LTT9+LTBStJ9+LTSJ9 +LTHI9+LTUTEP9 +LTRice9 +

5LTSMU1O+LTFS1O+LTNv1O+LTT1O+LTBSU1O+LTSJ1O+LTHI1O+LTUTEP1O+LTRicelO+ LTSMU11+LTFS11+LTNV11+LTT11+LTBSU11+LTSJ11+LTHI11+LTUTEP11+LTRicel2+

5LTsr1u12 +LTFS12 +LTNV12 +LTT12+LTBSU12 +LTSJ12 +LTHI12 +LTUTEP12 +LTRicel2<=4

Wounds

SSMUtotall = 0 FStotall = 0

S SJtotall = 0 UTEPtotall = 0

ONVtotall = 0 BSUtotall = 0

5Ricetotall = 0 Ttotal]. = 0

SHItotall = 0

SS

LTtotall = 0 SMUtotal2 = 0 FStotal2 = 0 SJtotal2 = 0

5UTEPtota12 = 0 NVtotal2 = 0

•l3SUtotal2 = 0 Ricetota12 = 0

• total2 = 0 Itota12 = 0 H

WTtotal2 = 0

•SMUtotall2 = 1 •HItota112 = 1

LTtotall2 = 1 totall2 = 1

NVtota112 = 1 SSJtotall2 = 1

FStotall2 = 1 SUtotall2 = 1

,icetotall2 = 1 TEPtota112 = 1 S. integer

IFS1 HIFS2 HIFS3 HIFS4 HIFS5 HIFS6 HIFS7 HIFS8 HIFS9 HIFS10 HIFS11 HIFS12 HIFS HISMU1 HISMU2 HISMU3 HISMU4 HISMU5 HISMU6 HISMU7 HISMU8 HISMU9 HISMU10 HISMU11 HISMU12 HISMU

SH ISJ1 HISJ2 HISJ3 HISJ4 HISJ5 HISJ6 HISJ7 I-IISJ8 HISJ9 HISJ10 HISJ11 HISJ12 HISJ IRicel HIRjce2 HIRice3 HIRice4 HIRice5 HIRice6 HIRice7 HIRice8 HIRice9 HIRicelO HIRicell HIRicel ,INV1 HINV2 HINV3 HINV4 HINV5 HINV6 HINV7 HINV8 HINV9 HINV10 HINV11 HINV12 HINV

SIBSU1 HIBSU2 HIBSU3 HIBSU4 HIBSU5 HIBSU6 HIBSU7 HIBSU8 HIBSU9 HIBSU10 HIBSU11 HIBStJ12 HIBSU IT1 HIT2 HIT3 HIT4 HIT5 HIT6 HIT7 HIT8 HIT9 HIT10 HIT11 HIT12 HIT

•IUTEP1 HIUTEP2 HIUTEP3 HIUTEP4 HIUTEP5 HIUTEP6 HIUTEP7 HIUTEP8 HIUTEP9 HIUTEP10 HIUTEP11 HIUTEP1 HILT1 HILT2 HILT3 HILT4 HILT5 HILT6 HILT7 HILT8 HILT9 HILT10 HILT11 HILT12 HILT

SMUFS1 SMUFS2 SMUFS3 SMUFS4 SMUFS5 SMUFS6 SMUFS7 SMUFS8 SMUFS9 SMUFS10 SMUFS11 SMUFS12 SMUFS

•SMUHI1 SMUHI2 SMUHI3 SMUHI4 SMUHI5 SMIJHI6 SMUHI7 SMUHI8 SMUHI9 SMUHI10 SMUHI11 SMUHI12 SMUHI SMtJSJ1 SMUSJ2 SMUSJ3 SMUSJ4 SMUSJ5 SMUSJ6 SMUSJ7 SMUSJ8 SMUSJ9 SMUSJ10 SMUSJ11 SMUSJ12 SMUSJ

•SMURice1 SMURice2 SMURice3 SMURIce4 SMUR1ce5 SMUR±ce6 SMtJRIce7 SMURice8 SMURIce9 SMURice1O SMURic SMUR1ce12 SMUR1ce

•SMUNV1 SMUNV2 SMUNV3 SMUNV4 SMUNV5 SMUNV6 SMUNV7 SMUNV8 SMUNV9 SMUNV1 0 SMUNV1 1 SMUNV1 2 SMUNV

.SMUBSU1 SMUBSU2 SMUBSU3 SMUBSU4 SMUBSU5 SMUBSU6 SMUBSU7 SMUBSU8 SMUBSU9 SMUBSU10 SMUBSU11 SMUBSU1 SMUT1 SMUT2 SMUT3 SMUT4 SMUT5 SMUT6 SMUT7 SMUT8 SMUT9 SMUT10 SMUT11 SMUT12 SMUT

. SMUUTEP1 SMUUTEP2 SMUUTEP3 SMUUTEP4 SMUUTEP5 SMtJUTEPG SMUUTEP7 SMUUTEP8 SMUUTEP9 SMUUTEP10 SMUUTE SMUUTEP12 SMUUTEP

•SMULT1 SMULT2 SMULT3 SMULT4 SMULT5 SMULT6 SMULT7 SMULT8 SMUIJT9 SMULT10 SMULT11 SMULT12 SMULT

•SJF S 1 SJFS2 SJFS3 SJFS4 SJFS5 SJFS6 SJFS7 SJFS8 SJFS9 SJFS10 SJFS11 SJFS12 SJFS SJSMU1 SJSMU2 SJSMU3 SJSMU4 SJSMU5 SJSMU6 SJSMU7 SJSMU8 SJSMU9 SJSMU10 SJSMU11 SJSMU12 SJSMU

•SJHI1 SJHI2 SJHI3 SJHI4 SJHI5 SJHI6 SJHI7 SJHI8 SJHI9 SJHI10 SJHI11 SJHI12 SJHI

S.

SJRicel SJRice2 SJRice3 SJRice4 SJRice5 SJRice6 SJRice7 SJRice8 SJRice9 SJRicelO SJRicell SJRicel SJNV1 SJNV2 SJNV3 SJNV4 SJNV5 SJNV6 SJNV7 SJNV8 SJNV9 SJNV10 SJNV11 SJNV12 SJNV SJBSU1 SJBSU2 SJBSU3 SJBSU4 SJBSU5 SJBSU6 SJBSU7 SJBSU8 SJBSU9 SJBSU10 SJBSU11 SJBSU12 SJBSU SJT1 SJT2 SJT3 SJT4 SJT5 SJT6 SJT7 SJT8 SJT9 SJT10 SJT11 SJT12

•SJUTEP1 SJUTEP2 SJUTEP3 SJUTEP4 SJUTEP5 SJUTEP6 SJUTEP7 SJUTEP8 SJUTEP9 SJUTEP10 . SJLT1 SJLT2 SJLT3 SJLT4 SJLT5 SJLT6 SJLT7 SJLT8 SJLT9 SJLT10 SJLT11 SJLT12 SJLT

RiceFSl RiceFS2 RiceFS3 RiceFS4 RiceFS5 RiceFS6 RiceFS7 RiceFS8 RiceFS9 RiceFSlO •RiceSMU1 RiceSMU2 RiceSMU3 RiceSMU4 RiceSMU5 RiceSMU6 R1ceSMU7 RiceSMU8 RiceSMU9

•.

RiceSMU12 RiceSMtJ RiceSJl RiceSJ2 RiceSJ3 RiceSJ4 RiceSJ5 RiceSJ6 RiceSJ7 RiceSJ8 RiceSJ9 RiceSJlO RiceHIl RiceHI2 RiceHI3 RiceHI4 RiceHI5 RiceHI6 RiceHI7 RiceHI8 RiceHI9 RiceHIlO RiceNVl RiceNV2 RiceNV3 RiceNV4 RiceNV5 RiceNV6 RiceNV7 RiceNV8 RiceNV9 RiceNVlO

•RiceBSU1 RiceBSU2 RiceBSU3 RiceBSU4 RiceBSU5 RiceBSU6 RiceBSU7 RiceBSU8 RiceBSU9 - RiceBSU12 RiceBSU •RiceT1 RiceT2 RiceT3 RiceT4 RiceT5 RiceT6 RiceT7 RiceT8 RiceT9 RiceTlO RiceTil RiceT12 RiceT

RiceUTEP1 RiceUTEP2 R1ceUTEP3 RiceUTEP4 R1ceUTEP5 RiceUTEP6 RiceUTEP7 RiceUTEP8 RiceUTEP9 RiceUTE 4KiceUTEP11 RiceUTEP12 RiceUTEP

RiceLTi RiceLT2 RiceLT3 RiceLT4 RiceLT5 R1ceLT6 RiceLT7 RiceLT8 RiceLT9 RiceLTlO RiceLTil RiceLTl

4pWFSI NVFS2 NVFS3 NVFS4 NVFS5 NVFS6 NVFS7 NVFS8 NVFS9 NVFS10 NVFS11 NVFS12 NVFS NVSMU1 NVSMU2 NVSMU3 NVSMU4 NVSMU5 NVSMU6 NVSMU7 NVSMU8 NVSMU9 NVSMU10 NVSMU11 NVSMU12 NVSMU

OWSJ1 NVSJ2 NVSJ3 NVSJ4 NVSJ5 NVSJ6 NVSJ7 NVSJ8 NVSJ9 NVSJ10 NVSJ11 NVSJ12 NVSJ NVRicel NVRice2 NVRice3 NVRice4 NVRice5 NVRice6 NVRice7 NVRice8 NVRice9 NVRicelO NVRicell NVRicel

•NVHI 1 NVHI 2 NI/H13 NI/H14 NI/H15 NI/H16 NI/H17 NVHI 8 NVHI 9 NI/HI 10 NI/HIll NVHI 12 NVHI NVBSU1 NVBSU2 NVBSU3 NVBSU4 NVBSU5 NVBSU6 NVBSU7 NVBSU8 NVBSU9 NVBSU10 NVBSU11 NVBSU12 NVBSU

6NVTl NVT2 NVT3 NVT4 NVT5 NVT6 NVT7 NVT8 NVT9 NI/T1 NVT11 NVT12 NVT NVUTEP1 NVUTEP2 NVUTEP3 NVUTEP4 NVUTEP5 NVUTEP6 NVUTEP7 NVUTEP8 NVUTEP9 NVUTEP10 NVUTEP11 NVUTEP1 ZLT1 NVLT2 NVLT3 NVLT4 NI/LT5 NVLT6 NVLT7 NVLT8 NVLT9 NVLT10 NVLT11 NVLT12 NVLT

BSUFS1 BSUFS2 BSUFS3 BSUFS4 BSUFS5 BSUFS6 BSUFS7 BSUFS8 BSUFS9 BSUFS10 BSUFS11 BSUFS12 BSUFS •BSUSMU1 BSUSMU2 BSUSMU3 BSUSMU4 BSUSMU5 BSUSMU6 BSUSMU7 BSUSMU8 BSUSMU9 BSUSMU1O BSUSMU11 BSUSMU1

BSUSJ1 BSUSJ2 BSUSJ3 BSUSJ4 BSUSJ5 BSUSJ6 BSUSJ7 BSUSJ8 BSUSJ9 BSUSJ10 BSUSJ11 BSUSJ12 BSUSJ SBSURice1 BSURice2 BSURice3 BSURice4 BSURice5 ESURice6 BSURice7 BSURice8 BSURice9 BSURice1O BSURic

BSURice12 BSURice •SUNV1 BSUNV2 BSUNV3 BSUNV4 BSUNV5 BSUNV6 BSUNV7 BSUNV8 BSUNV9 BSUNV10 BSUNV11 BSUNI/12 BSUNV

SUHI1 BSUHI2 BSUHI3 BSUHI4 BSUHI5 BSUHI6 BSUHI7 BSUHI8 BSUHI9 ESUHI1O BSUHI11 BSUHI12 BSUHI B I SUT1 BSUT2 BSUT3 BSUT4 BSUT5 BSUT6 BSUT7 BSUT8 BSUT9 BSUT10 BSUT11 BSUT12 BSUT

0BSUUTEP1 BSUUTEP2 BSUUTEP3 BSUUTEP4 BSUUTEP5 BSUUTEP6 BSUUTEP7 BSUUTEP8 BSUUTEP9 BSUUTEP1O BSUUTE

BSUUTEP12 BSUUTEP SB SULT1 BSULT2 BSULT3 BSULT4 BSULT5 BSULT6 BSULT7 BSULT8 BSULT9 BSULT10 BSULT11 BSULT12 BSULT

•TFS1 TFS2 TFS3 TFS4 TFS5 TFS6 TFS7 TFS8 TFS9 TFS10 TFS11 TFS12 TFS TSMU1 TSMU2 TSMU3 TSMU4 TSMU5 TSMU6 TSMU7 TSMU8 TSMU9 TSMU10 TSMU11 TSMU12 TSMU

•TSJ1 TSJ2 TSJ3 TSJ4 TSJ5 TSJ6 TSJ7 TSJ8 TSJ9 TSJ10 TSJ11 TSJ12 TSJ Ricei TRice2 TRice3 TRice4 TRice5 TRice6 TRice7 TRice8 TRice9 TRicelO TRicell TRice12 TRice

WT

NI/i TNV2 TNV3 TNV4 TNV5 TNV6 TNV7 TNI/8 TNI/9 TNI/10 TNV11 TNI/12 TNV TBSU1 TBSU2 TBSU3 TBSU4 TBSU5 TBSU6 TBSU7 TBSU8 TBSU9 TBSU10 TBSU11 TBSU12 TBSU THIl THI2 THI3 THI4 THI5 THI6 THI7 THI8 THI9 THI10 THI11 THI12 THI

OTUTEP1 TUTEP2 TUTEP3 TUTEP4 TUTEP5 TUTEP6 TUTEP7 TUTEP8 TUTEP9 TUTEP10 TUTEP11 TUTEP12 TUTEP TLT1 TLT2 TLT3 TLT4 TLT5 TLT6 TLT7 TLT8 TLT9 TLT10 TLT11 TLT12 TLT

SLTFS1 LTFS2 LTFS3 LTFS4 LTFS5 LTFS6 LTFS7 LTFS8 LTFS9 LTFS10 LTFS11 LTFS12 LTFS LTSMU1 LTSMU2 LTSMU3 LTSMU4 LTSMU5 LTSMU6 LTSMU7 LTSMU8 LTSMU9 LTSMU10 LTSMU11 LTSMU12 LTSMU LTSJ1 LTSJ2 LTSJ3 LTSJ4 LTSJ5 LTSJ6 LTSJ7 LTSJ8 LTSJ9 LTSJ10 LTSJ11 LTSJ12 LTSJ TRicel LTRice2 LTRice3 LTRice4 LTRice5 LTRice6 LTRice7 LTRice8 LTRice9 LTRicelO LTRicebb LTRicel TNV1 LTNV2 LTNV3 LTNV4 LTNV5 LTNV6 LTNV7 LTNV8 LTNV9 LTNV10 LTNV11 LTNV12 LTNV

LTBSU1 LTBSU2 LTBSU3 LTBSU4 LTBSU5 LTBSU6 LTBSU7 LTBSU8 LTBSU9 LTBSU10 LTBSU11 LTBSU12 LTBSU 5LTHI1 LTHI2 LTHI3 LTHI4 LTHI5 LTHI6 LTHI7 LTHI8 LTHI9 LTHI10 LTHI11 LTHI12 LTHI

LTUTEP1 LTUTEP2 LTUTEP3 LTUTEP4 LTUTEP5 LTUTEP6 LTUTEP7 LTUTEP8 LTUTEP9 LTUTEP10 LTUTEP11 LTUTEP1 5LTT1 LTT2 LTT3 LTT4 LTT5 LTT6 LTT7 LTT8 LTT9 LTT10 LTT11 LTT12 LTT

SJUTEP11 SJUTEP1

RiceFSll RiceFSl RiceSMUlO RiceSM

RiceSJll RiceSJl RiceHIll RiceHIl RiceNVil RiceNVi RiceBSU10 RiceBS

0

OFSHI1 FSHI2 FSHI3 FSHI4 FSHI5 FSHI6 FSHI7 FSHI8 FSHI9 FSHI10 FSHI11 FSHI12 FSHI FSSM[J1 FSSMU2 FSSMU3 FSSMU4 FSSMU5 FSSMU6 FSSMU7 FSSMU8 FSSMU9 FSSMU10 FSSMU11 FSSMU12 FSSMU

OFSSJ1 FSSJ2 FSSJ3 FSSJ4 FSSJ5 FSSJ6 FSSJ7 FSSJ8 FSSJ9 FSSJ10 FSSJ11 FSSJ12 FSSJ FSRice1 FSRice2 FSRice3 FSRice4 FSRice5 FSR±ce6 FSRice7 FSRice8 FSRice9 FSRIce1O FSRicell FSRicel .FSNV1 FSNV2 FSNV3 FSNV4 FSNV5 FSNV6 FSNV7 FSNV8 FSNV9 FSNV10 FSNV11 FSNV12 FSNV

.FSBSU1 FSBSU2 FSBSU3 FSBSU4 FSBSU5 FSBSU6 FSBSU7 FSBSU8 FSBSU9 FSBSU10 FSBSU11 FSBSU12 FSBSU FST1 FST2 FST3 FST4 FST5 FST6 FST7 FST8 FST9 FST10 FST11 FST12 FST

OFSUTEP1 FSUTEP2 FSUTEP3 FSUTEP4 FSUTEP5 FSUTEP6 FSUTEP7 FSUTEP8 FSUTEP9 FSUTEP10 FStJTEP11 FSUTEP1

I FSLT1 FSLT2 FSLT3 FSLT4 FSLT5 FSLT6 FSLT7 FSLT8 FSLT9 FSLT10 FSLT11 FSLT12 FSLT

UTEPFS1 UTEPFS2 UTEPFS3 UTEPFS4 UTEPFS5 UTEPFS6 UTEPFS7 TJTEPFS8 UTEPFS9 UTEPFS10 UTEPFS11 UTEPFS1 UTEPSMU1 UTEPSMU2 UTEPSMU3 UTEPSMU4 UTEPSMU5 UTEPSMtJ6 UTEPSMtJ7 UTEPSMU8 UTEPSMU9 UTEPSMU1O UTEPSM

..

UTEPSMU12 UTEPSMU UTEPSJ1 UTEPSJ2 UTEPSJ3 UTEPSJ4 UTEPSJ5 UTEPSJ6 UTEPSJ7 UTEPSJB UTEPSJ9 UTEPSJ10 UTEPSJ11 UTEPSJ1 UTEPRice1 UTEPRice2 UTEPRice3 UTEPRice4 UTEPRice5 UTEPRice6 UTEPRIce7 UTEPRice8 UTEPRice9 UTEPRic

UTEPRice11 UTEPRice12 UTEPRice UTEPNV1 UTEPNV2 UTEPNV3 UTEPNV4 UTEPNV5 UTEPNV6 UTEPNV7 UTEPNV8 UTEPNV9 tJTEPBSU1 UTEPBSU2 UTEPBSU3 UTEPBSU4 UTEPBSU5 UTEPBSUG UTEPBSU7 UTEPBSU8

UTEPBSU12 UTEPBSU UTEPT1 UTEPT2 UTEPT3 UTEPT4 UTEPT5 UTEPT6 UTEPT7 UTEPT8 UTEPT9 UTEPT10 UTEPHI1 UTEPHI2 UTEPHI3 UTEPHI4 UTEPHI5 UTEPHI6 UTEPHI7 UTEPHI8 UTEPHI9 UTEPLT1 UTEPLT2 UTEPLT3 UTEPLT4 UTEPLT5 UTEPLT6 UTEPLT7 UTEPLT8 UTEPLT9

• end

•

•

S S S S S S S S S S S S S S S S S S S S S S S S S S S

UTEPNV10 UTEPNV11 UTEPNV1 UTEPBSU9 UTEPBSU10 UTEPBS

UTEPT11 UTEPT12 UTEPT UTEPHI10 UTEPHI11 UTEPHI1 UTEPLT10 UTEPLT11 UTEPLT1

Nodes Cuts! Node Left Objective IInf Best Integer Best Node

• 0 0 42987.0000 153 42987.0000 • * 42987.0000 158 Cliques: 1

60 0 42987.0000 0 42987.0000

• Clique cuts applied: 1

Integer optimal solution: Objective = 4.2987000000e+04 • Solution time = 13.25 sec. Iterations = 8613 Nodes = 60

*Variable Name Solution Value HIm 8850.000000 SMUm 1175.000000

W FSm 3467.000000 Sim • 2957.000000 Ricem 2834.000000

• LTm 5569.000000 NVm

•BSUm6107.000000 5960.000000

* TM 1840.000000 UTEPm 4228.000000

S SMURice 1.000000 SMULT 1.000000

• SMUUTEP 1.000000 FSHI 1.000000

• FSSMIJ 1.000000 FSNV 1.000000

•SrFS 1.000000

.SJRice1.000000

SJNV 1.000000 . SJBSU 1.000000

RiceFS 1.000000 •RiceLT 1.000000

RiceT 1.000000 • LTHI 1.000000

LTSJ 1.000000 • LTUTEP 1.000000 . NVHI 1.000000

NVSMU 1.000000 . NVBSU 1.000000

NVT 1.000000 •BSUSMU 1.000000

BSULT 1.000000 •BSUFS 1.000000

BSUT 1.000000 •TSMU 1.000000

.TLT1.000000

TUTEP 1.000000 . UTEPSJ 1.000000

UTEPR1ce 1.000000 •UTEPNV 1.000000

UTEPFS 1.000000 •HISJ 1.000000

HiRice 1.000000 •HIBSU 1.000000

HIT . 1.000000 HISJ3 1.000000

• HIRicell 1.000000 HIBSU5 1.000000

5HIT12 1.000000 SMUR1ce3 1.000000

•SMUUTEP7 1.000000 SMULT12

40SJFS71.000000 1.000000

•SJRice51.000000

SJNV12 1.000000 . SJBSU9 1.000000

RIceFS4 1.000000 5RiceT8 1.000000

R1ceLT9 1.000000 •NVSMU9 1.000000

NVHI8 1.000000

ItCnt

Variable B Parent

1091 1104

8613

SJRice5 U 59

SNVBSU11 1.000000 NVT3 1.000000

OBSUFS12 1.000000 BSUSMU6 1.000000

•BSUT7 1.000000 BSULT10 1.000000 rP-(ZMT TA 1 nnrninn

• TUTEP91.000000

TLT5 1.000000 OLTSJll 1.000000

LTHI4 1.000000 • LTUTEP6 1.000000

FSHI6 1.000000 FSSMU11 1.000000

! •FJ51.000000

UTEPFS3 1.000000

WUTEPSJ8 1.000000 UTEPRiCe12 1.000000

.UTEPNV10 1.000000 UTEPtota13 1.000000

SFStota13 1.000000 SMUtota13 1.000000

•NVtota13 1.000000

.Ttotal31.000000

HItota13 1.000000 SJtotal3 1.000000 Ricetota13 1.000000

•FStota14 1.000000 SMUtota14 1.000000

•LTtotal4 1.000000 Ttota14 1.000000

•HItota14 1.000000

.Ricetotal41.000000

FStota15 1.000000

.LTtotal51.000000

NVtotal5 1.000000 •Ttota15 1.000000

BSUtotal5 1.000000 •HItotal5 1.000000

SJtotal5 1.000000 •Ricetotal5 1.000000

UTEPtota16 1.000000 FStota16 1.000000

• SMUtotal61.000000

LTtotal6 1.000000 •BSUtota16 1.000000

HItota16 1.000000 •UTEPtota17 1.000000

FStota17 1.000000 •SMTJtotal7 1.000000

Ttota17 •1.000000

BSUtotal7 1.000000

•SJtotal71.000000

UTEPtota18 1.000000 0NVtotal8 1.000000

Ttota18 1.000000 •HItotalB 1.000000

SJtota18 1.000000 •Ricetota18 1.000000

UTEPtota19 SMIJtotal9

1.000000 1.000000

LTtotal9 1.000000 NVtotal9 1.000000

•Ttotal9 1.000000 BSUtotal9 1.000000

•SJtotal9 1.000000 Ricetota19 1.000000

•UTEPtotallO 1.000000

•LTtotallO1.000000

NVtotallO 1.000000 OBSUtotallO 1.000000

FStotalll 1.000000 •SMUtotalll 1.000000

LTtotalll 1.000000 •NVtotalll 1.000000

BStJtotalll 1.000000

FlItotalli SJtotalll

• Ricetotalll UTEPtotall2

•SMUtotall2 LTtotall2

.NVtotal12 Ttotall2

• HItotall2

•Ricetota112

SAil other variables

I.

1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000

in the range 1-1300 are zero.

.

•Integer optimal solution: Objective = 0.0000000000e+00 Solution time = 6.45 sec. Iterations = 4318 Nodes = 44

•Variable Name Solution Value • SMUm 5802.000000

NVm 4181.000000 . UTEPm 3783.000000

Sim 5956.000000 •FSm 3212.000000

BSUm 4824.000000 •Ricem 5099.000000

TM . 6090.000000 LTm 5126.000000

WIm 7500.000000 MUFS 1.000000

. SMUSJ 1.000000 SMUBSU 1.000000

•SMUUTEP 1.000000 FSLT 1.000000

• FSNV 1.000000 . FSUTEP

SJHI1.000000 1.000000

SJRice 1.000000 WSJBSU 1.000000 *SJT 1.000000 WRiceFS 1.000000 • RiceLT 1.000000

RiceNV 1.000000 •RiceUTEP 1.000000

LTSMU •LTSJ

1.000000 1.000000

LTNV 1.000000 WLTT 1.000000

SNVHI 1.000000 NVSMU 1.000000

•NVSJ 1.000000 BSUHI 1.000000

• BSULT 1.000000

BSUFS . THI1.000000 1.000000

TRice 1.000000 WTBSU 1.000000 . TFS 1.000000

UTEPNV 1.000000 • UTEPBSU 1.000000

UTEPT 1.000000 • HISMU 1.000000

HiRice 1.000000 •HIUTEP 1.000000

HISMU12 1.000000 HIRice10 1.000000 HIUTEP9 1.000000

W SMTJFS4 1.000000 •SMUSJ6 1.000000

SMUBSU10 1.000000 • SMcrUTEP11 1.000000

SJHI3 1.000000 •SJRice9 1.000000

SJBStJ12 1.000000 WSj-T10 1.000000

RiceFS12 1.000000 W RiceNVll 1.000000 • RiceUTEP8 1.000000

RiceLT7 1.000000 • NVSMU7 1.000000

NVSJ5 • NVHI4

1.000000 1.000000

BSUFS3 1.000000

W BSUHI8 1.000000 • BSULT6 1.000000

TFS7 1.000000 • TRice4 1.000000

TBSU9 1.000000• TRill 1.000000

IOL,TSMU8 1.000000 •LTSJ11 1.000000

LTNV3 •LTT12

1.000000 1.000000

FSNV9 1.000000 •SUTEP6 1.000000

FSLT10 1.000000 WtJTEPNV12 1.000000 WTEPBSU7 1.000000

UTEPT3 1.000000 •tJTEPtota13 1.000000

FStota13 1.000000 •LTtotal3 1.000000

NVtotal3 1.000000 Ttota13 1.000000

0BSUtota13 1.000000 HItotal3 1.000000

OSJtotal3 1.000000 FStota14 1.000000

•SMUtota14 1.000000 NVtotal4 1.000000

•Ttotal4 1.000000 HItota14 1.000000

•icetota14 1.000000 NVtota15 1.000000

WSJtotal5 1.000000 *UTEPtotal6 1.000000 WFStotal6 1.000000 •SMUtotal6 1.000000

LTtotal6 1.000000 •BSUtota16 1.000000

SJtotal6 •UTEPtota17

1.000000 1.000000

oFStota17 1.000000 SMUtota17 1.000000

*LTtotal7 1.000000 W Jtota17 1.000000 •Ttotal7 1.000000

BSUtotal7 1.000000 •Ricetotal7 1.000000

UTEPtota18 •SMUtotal8

1.000000 1.000000

LTtota18 1.000000 WBSUtotal8 1.000000 OHItota18 1.000000

Ricetota18 1.000000 •UTEPtota19 1.000000

FStota19 1.000000 •NVtota19 1.000000

Ttota19 1.000000 •BSUtota19 1.000000

oHItota19 1.000000

SJtotal9 1.000000

WRicetota19 1.000000 FStotallO 1.000000

•SMtJtotallO 1.000000 LTtotallO 1.000000

•TtotallO 1.000000 ESUtotallO 1.000000

•HItotallO 1.000000 SJtota110 1.000000

WRicetotallO 1.000000 OUTEPtotalll 1.000000

SMUtotalll 1.000000 •LTtotalll 1.000000

NVtotalll 1.000000 •Ttotalll 1.000000

HItotalli •SJtotalll

1.000000 1.000000

Ricetota111 1.000000

W UTEPtotall2 1.000000 . FStotall2 1.000000

SMtJtota112 1.000000 • LTtotall2 1.000000

NVtotall2 1.000000•Ttotall2 1.000000