minimize 
  50 z11 +50 z12 + 50 z13 + 50 z14 +50 z15+50 z16+50 z17
 +50 z18+50 z19+50 z110+50 z111+50 z112+50 z113
 +50 z114+50 z115+50 z116+50 z117+50 z118+50 z119+50 z120+50 z121+50 z122+50 z123+50 z124
 +50 z21 +50 z22 + 50 z23 +50 z24 +50 z25+50 z26+50 z27
 +50 z28+50 z29+50 z210+50 z211+50 z212+50 z213
 +50 z214+50 z215+50 z216+50 z217+50 z218+50 z219+50 z220+50 z221+50 z222+50 z223+50 z224
 +50 z41 +50 z42 + 50 z43 +50 z44+50 z45+50 z46+50 z47
 +50 z48+50 z49+50 z410+50 z411+50 z412+50 z413
 +50 z414+50 z415+50 z416+50 z417+50 z418+50 z419+50 z420+50 z421+50 z422+50 z423+50 z224
 +1246 g111 + 1307 g121 + 1358 g131
  +1129 g211 + 1211 g221 + 1282 g231
  +1183 g411 + 1254 g421 + 1320 g431
 +1246 g112 + 1307 g122 + 1358 g132
  +1129 g212 + 1211 g222 + 1282 g232
  +1183 g412 + 1254 g422 + 1320 g432
 +1246 g113 + 1307 g123 + 1358 g133
  +1129 g213 + 1211 g223 + 1282 g233
  +1183 g413 + 1254 g423 + 1320 g433
 +1246 g114 + 1307 g124 + 1358 g134
  +1129 g214 + 1211 g224 + 1282 g234
  +1183 g414 + 1254 g424 + 1320 g434
 +1246 g115 + 1307 g125 + 1358 g135
  +1129 g215 + 1211 g225 + 1282 g235
  +1183 g415 + 1254 g425 + 1320 g435
 +1246 g116 + 1307 g126 + 1358 g136
  +1129 g216 + 1211 g226 + 1282 g236
  +1183 g416 + 1254 g426 + 1320 g436
 +1246 g117 + 1307 g127 + 1358 g137
  +1129 g217 + 1211 g227 + 1282 g237
  +1183 g417 + 1254 g427 + 1320 g437
 +1246 g118 + 1307 g128 + 1358 g138
  +1129 g218 + 1211 g228 + 1282 g238
  +1183 g418 + 1254 g428 + 1320 g438
 +1246 g119 + 1307 g129 + 1358 g139
  +1129 g219 + 1211 g229 + 1282 g239
  +1183 g419 + 1254 g429 + 1320 g439
 +1246 g1110 + 1307 g1210 + 1358 g1310
  +1129 g2110 + 1211 g2210 + 1282 g2310
  +1183 g4110 + 1254 g4210 + 1320 g4310
 +1246 g1111 + 1307 g1211 + 1358 g1311
  +1129 g2111 + 1211 g2211 + 1282 g2311
  +1183 g4111 + 1254 g4211 + 1320 g4311
 +1246 g1112 + 1307 g1212 + 1358 g1312
  +1129 g2112 + 1211 g2212 + 1282 g2312
  +1183 g4112 + 1254 g4212 + 1320 g4312
 +1246 g1113 + 1307 g1213 + 1358 g1313
  +1129 g2113 + 1211 g2213 + 1282 g2313
  +1183 g4113 + 1254 g4213 + 1320 g4313
 +1246 g1114 + 1307 g1214 + 1358 g1314
  +1129 g2114 + 1211 g2214 + 1282 g2314
  +1183 g4114 + 1254 g4214 + 1320 g4314
 +1246 g1115 + 1307 g1215 + 1358 g1315
  +1129 g2115 + 1211 g2215 + 1282 g2315
  +1183 g4115 + 1254 g4215 + 1320 g4315
 +1246 g1116 + 1307 g1216 + 1358 g1316
  +1129 g2116 + 1211 g2216 + 1282 g2316
  +1183 g4116 + 1254 g4216 + 1320 g4316
+1246 g1117 + 1307 g1217 + 1358 g1317
  +1129 g2117 + 1211 g2217 + 1282 g2317
  +1183 g4117 + 1254 g4217 + 1320 g4317
 +1246 g1118 + 1307 g1218 + 1358 g1318
  +1129 g2118 + 1211 g2218 + 1282 g2318
  +1183 g4118 + 1254 g4218 + 1320 g4318
 +1246 g1119 + 1307 g1219 + 1358 g1319
  +1129 g2119 + 1211 g2219 + 1282 g2319
  +1183 g4119 + 1254 g4219 + 1320 g4319
 +1246 g1120 + 1307 g1220 + 1358 g1320
  +1129 g2120 + 1211 g2220 + 1282 g2320
  +1183 g4120 + 1254 g4220 + 1320 g4320
 +1246 g1121 + 1307 g1221 + 1358 g1321
  +1129 g2121 + 1211 g2221 + 1282 g2321
  +1183 g4121 + 1254 g4221 + 1320 g4321
 +1246 g1122 + 1307 g1222 + 1358 g1322
  +1129 g2122 + 1211 g2222 + 1282 g2322
  +1183 g4122 + 1254 g4222 + 1320 g4322
 +1246 g1123 + 1307 g1223 + 1358 g1323
  +1129 g2123 + 1211 g2223 + 1282 g2323
  +1183 g4123 + 1254 g4223 + 1320 g4323
 +1246 g1124 + 1307 g1224 + 1358 g1324
  +1129 g2124 + 1211 g2224 + 1282 g2324
  +1183 g4124 + 1254 g4224 + 1320 g4324
 +100 y12 + 100 y13 +100 y14 +100 y15 + 100 y16 +100 y17 +100 y18 + 100 y19 
 +100 y110 +100 y111 + 100 y112 +100 y113 +100 y114+ 100 y115 + 100 y116 
 +100 y117 +100 y118 +100 y119 +100 y120 +100 y121 + 100 y122 + 100 y123 + 100 y124
 +100 y22 + 100 y23 +100 y24+100 y25 + 100 y26 +100 y27 +100 y28 + 100 y29 
 +100 y210 +100 y211 + 100 y212 +100 y213 +100 y214+ 100 y215 + 100 y216 
 +100 y217 +100 y218 +100 y219 +100 y220 +100 y221 + 100 y222 + 100 y223 + 100 y224
 +100 y42 + 100 y43 +100 y44+100 y45 + 100 y46 +100 y47 +100 y48 + 100 y49 
 +100 y410 +100 y411 + 100 y412 +100 y413 +100 y414+ 100 y415 + 100 y416 
 +100 y417 +100 y418 +100 y419 +100 y420 +100 y421 + 100 y422 + 100 y423 + 100 y424
 +20 x12 + 20 x13 + 20 x14 +20 x15 + 20 x16 +20 x17+20 x18 + 20 x19 +20 x110+20 x111 
 +20 x112 +20 x113 +20 x114+20 x115 + 20 x116 +20 x117 +20 x118 +20 x119 +20 x120+20 x121+20 x122+20 x123+20 x124
 +20 x22 + 20 x23 + 20 x24 +20 x25 + 20 x26 +20 x27+20 x28 + 20 x29 +20 x210+20 x211 
 +20 x212 +20 x213 +20 x214+20 x215 + 20 x216 +20 x217 +20 x218 +20 x219 +20 x220+20 x221+20 x222+20 x223+20 x224
 +20 x42 + 20 x43 +20 x44+20 x45 + 20 x46 +20 x47+20 x48 + 20 x49 +20 x410+20 x411 
 +20 x412 +20 x413 +20 x414+20 x415 + 20 x416 +20 x417 +20 x418 +20 x419 +20 x420+20 x421+20 x422+20 x423+20 x424
subject to
 loadhr1: g111+g121+g131+g211+g221+g231+g411+g421+g431=1.5
 loadhr2: g112+g122+g132+g212+g222+g232+g412+g422+g432=1.4
 loadhr3: g113+g123+g133+g213+g223+g233+g413+g423+g433=1.3
 loadhr4: g114+g124+g134+g214+g224+g234+g414+g424+g434=1.4
 loadhr5: g115+g125+g135+g215+g225+g235+g415+g425+g435=1.7
 loadhr6: g116+g126+g136+g216+g226+g236+g416+g426+g436=2.0
 loadhr7: g117+g127+g137+g217+g227+g237+g417+g427+g437=2.4
 loadhr8: g118+g128+g138+g218+g228+g238+g418+g428+g438=2.8
 loadhr9: g119+g129+g139+g219+g229+g239+g419+g429+g439=3.2
 loadhr10: g1110+g1210+g1310+g2110+g2210+g2310+g4110+g4210+g4310=3.3
 loadhr11: g1111+g1211+g1311+g2111+g2211+g2311+g4111+g4211+g4311=3.3
 loadhr12: g1112+g1212+g1312+g2112+g2212+g2312+g4112+g4212+g4312=3.2
 loadhr13: g1113+g1213+g1313+g2113+g2213+g2313+g4113+g4213+g4313=3.2
 loadhr14: g1114+g1214+g1314+g2114+g2214+g2314+g4114+g4214+g4314=3.3
 loadhr15: g1115+g1215+g1315+g2115+g2215+g2315+g4115+g4215+g4315=3.35
 loadhr16: g1116+g1216+g1316+g2116+g2216+g2316+g4116+g4216+g4316=3.4
 loadhr17: g1117+g1217+g1317+g2117+g2217+g2317+g4117+g4217+g4317=3.3
 loadhr18: g1118+g1218+g1318+g2118+g2218+g2318+g4118+g4218+g4318=3.3
 loadhr19: g1119+g1219+g1319+g2119+g2219+g2319+g4119+g4219+g4319=3.2
 loadhr20: g1120+g1220+g1320+g2120+g2220+g2320+g4120+g4220+g4320=2.8
 loadhr21: g1121+g1221+g1321+g2121+g2221+g2321+g4121+g4221+g4321=2.3
 loadhr22: g1122+g1222+g1322+g2122+g2222+g2322+g4122+g4222+g4322=2.0
 loadhr23: g1123+g1223+g1323+g2123+g2223+g2323+g4123+g4223+g4323=1.7
 loadhr24: g1124+g1224+g1324+g2124+g2224+g2324+g4124+g4224+g4324=1.6
 initialu1: z11=0
 initialu2: z21=1
 initialu4: z41=1
 starthr21u1: z12-z11-y12<=0
 starthr32u1: z13-z12-y13<=0
 starthr43u1: z14-z13-y14<=0
 starthr54u1: z15-z14-y15<=0
 starthr65u1: z16-z15-y16<=0
 starthr76u1: z17-z16-y17<=0
 starthr87u1: z18-z17-y18<=0
 starthr98u1: z19-z18-y19<=0
 starthr109u1: z110-z19-y110<=0
 starthr1110u1: z111-z110-y111<=0
 starthr1211u1: z112-z111-y112<=0
 starthr1312u1: z113-z112-y113<=0
 starthr1413u1: z114-z113-y114<=0
 starthr1514u1: z115-z114-y115<=0
 starthr1615u1: z116-z115-y116<=0
 starthr1716u1: z117-z116-y117<=0
 starthr1817u1: z118-z117-y118<=0
 starthr1918u1: z119-z118-y119<=0
 starthr2019u1: z120-z119-y120<=0
 starthr2120u1: z121-z120-y121<=0
 starthr2221u1: z122-z121-y122<=0
 starthr2322u1: z123-z122-y123<=0
 starthr2423u1: z124-z123-y124<=0
 starthr21u2: z22-z21-y22<=0
 starthr32u2: z23-z22-y23<=0
 starthr43u2: z24-z23-y24<=0

 starthr54u2: z25-z24-y25<=0
 starthr65u2: z26-z25-y26<=0
 starthr76u2: z27-z26-y27<=0
 starthr87u2: z28-z27-y28<=0
 starthr98u2: z29-z28-y29<=0
 starthr109u2: z210-z29-y210<=0
 starthr1110u2: z211-z210-y211<=0
 starthr1211u2: z212-z211-y212<=0
 starthr1312u2: z213-z212-y213<=0
 starthr1413u2: z214-z213-y214<=0
 starthr1514u2: z215-z214-y215<=0
 starthr1615u2: z216-z215-y216<=0
 starthr1716u2: z217-z216-y217<=0
 starthr1817u2: z218-z217-y218<=0
 starthr1918u2: z219-z218-y219<=0
 starthr2019u2: z220-z219-y220<=0
 starthr2120u2: z221-z220-y221<=0
 starthr2221u2: z222-z221-y222<=0
 starthr2322u2: z223-z222-y223<=0
 starthr2423u2: z224-z223-y224<=0
 starthr21u4: z42-z41-y42<=0
 starthr32u4: z43-z42-y43<=0
 starthr43u4: z44-z43-y44<=0
 starthr54u4: z45-z44-y45<=0
 starthr65u4: z46-z45-y46<=0
 starthr76u4: z47-z46-y47<=0
 starthr87u4: z48-z47-y48<=0
 starthr98u4: z49-z48-y49<=0
 starthr109u4: z410-z49-y410<=0
 starthr1110u4: z411-z410-y411<=0
 starthr1211u4: z412-z411-y412<=0
 starthr1312u4: z413-z412-y413<=0
 starthr1413u4: z414-z413-y414<=0
 starthr1514u4: z415-z414-y415<=0
 starthr1615u4: z416-z415-y416<=0
 starthr1716u4: z417-z416-y417<=0
 starthr1817u4: z418-z417-y418<=0
 starthr1918u4: z419-z418-y419<=0
 starthr2019u4: z420-z419-y420<=0
 starthr2120u4: z421-z420-y421<=0
 starthr2221u4: z422-z421-y422<=0
 starthr2322u4: z423-z422-y423<=0
 starthr2423u4: z424-z423-y424<=0
 shuthr21u1: z12-z11+x12>=0
 shuthr32u1: z13-z12+x13>=0
 shuthr43u1: z14-z13+x14>=0

 shuthr54u1: z15-z14+x15>=0
 shuthr65u1: z16-z15+x16>=0
 shuthr76u1: z17-z16+x17>=0
 shuthr87u1: z18-z17+x18>=0
 shuthr98u1: z19-z18+x19>=0
 shuthr109u1: z110-z19+x110>=0
 shuthr1110u1: z111-z110+x111>=0
 shuthr1211u1: z112-z111+x112>=0
 shuthr1312u1: z113-z112+x113>=0
 shuthr1413u1: z114-z113+x114>=0
 shuthr1514u1: z115-z114+x115>=0
 shuthr1615u1: z116-z115+x116>=0
 shuthr1716u1: z117-z116+x117>=0
 shuthr1817u1: z118-z117+x118>=0
 shuthr1918u1: z119-z118+x119>=0
 shuthr2019u1: z120-z119+x120>=0
 shuthr2120u1: z121-z120+x121>=0
 shuthr2221u1: z122-z121+x122>=0
 shuthr2322u1: z123-z122+x123>=0
 shuthr2423u1: z124-z123+x124>=0
 shuthr21u2: z22-z21+x22>=0
 shuthr32u2: z23-z22+x23>=0
 shuthr43u2: z24-z23+x24>=0
 shuthr54u2: z25-z24+x25>=0
 shuthr65u2: z26-z25+x26>=0
 shuthr76u2: z27-z26+x27>=0
 shuthr87u2: z28-z27+x28>=0
 shuthr98u2: z29-z28+x29>=0
 shuthr109u2: z210-z29+x210>=0
 shuthr1110u2: z211-z210+x211>=0
 shuthr1211u2: z212-z211+x212>=0
 shuthr1312u2: z213-z212+x213>=0
 shuthr1413u2: z214-z213+x214>=0
 shuthr1514u2: z215-z214+x215>=0
 shuthr1615u2: z216-z215+x216>=0
 shuthr1716u2: z217-z216+x217>=0
 shuthr1817u2: z218-z217+x218>=0
 shuthr1918u2: z219-z218+x219>=0
 shuthr2019u2: z220-z219+x220>=0
 shuthr2120u2: z221-z220+x221>=0
 shuthr2221u2: z222-z221+x222>=0
 shuthr2322u2: z223-z222+x223>=0
 shuthr2423u2: z224-z223+x224>=0
 shuthr21u4: z42-z41+x42>=0
 shuthr32u4: z43-z42+x43>=0
 shuthr43u4: z44-z43+x44>=0
 shuthr54u4: z45-z44+x45>=0
 shuthr65u4: z46-z45+x46>=0
 shuthr76u4: z47-z46+x47>=0
 shuthr87u4: z48-z47+x48>=0
 shuthr98u4: z49-z48+x49>=0
 shuthr109u4: z410-z49+x410>=0
 shuthr1110u4: z411-z410+x411>=0
 shuthr1211u4: z412-z411+x412>=0
 shuthr1312u4: z413-z412+x413>=0
 shuthr1413u4: z414-z413+x414>=0
 shuthr1514u4: z415-z414+x415>=0
 shuthr1615u4: z416-z415+x416>=0
 shuthr1716u4: z417-z416+x417>=0
 shuthr1817u4: z418-z417+x418>=0
 shuthr1918u4: z419-z418+x419>=0
 shuthr2019u4: z420-z419+x420>=0
 shuthr2120u4: z421-z420+x421>=0
 shuthr2221u4: z422-z421+x422>=0
 shuthr2322u4: z423-z422+x423>=0
 shuthr2423u4: z424-z423+x424>=0

 g111 - 0.5 z11<= 0
 g112 - 0.5 z12<= 0
 g113 - 0.5 z13<= 0
 g114 - 0.5 z14<= 0
 g115 - 0.5 z15<= 0
 g116 - 0.5 z16<= 0
 g117 - 0.5 z17<= 0
 g118 - 0.5 z18<= 0
 g119 - 0.5 z19<= 0
 g1110 - 0.5 z110<= 0
 g1111 - 0.5 z111<= 0
 g1112 - 0.5 z112<= 0
 g1113 - 0.5 z113<= 0
 g1114 - 0.5 z114<= 0
 g1115 - 0.5 z115<= 0
 g1116 - 0.5 z116<= 0
 g1117 - 0.5 z117<= 0
 g1118 - 0.5 z118<= 0
 g1119 - 0.5 z119<= 0
 g1120 - 0.5 z120<= 0
 g1121 - 0.5 z121<= 0
 g1122 - 0.5 z122<= 0
 g1123 - 0.5 z123<= 0
 g1124 - 0.5 z124<= 0

 g121 - 0.6 z11<= 0
 g122 - 0.6 z12<= 0
 g123 - 0.6 z13<= 0
 g124 - 0.6 z14<= 0
 g125 - 0.6 z15<= 0
 g126 - 0.6 z16<= 0
 g127 - 0.6 z17<= 0
 g128 - 0.6 z18<= 0
 g129 - 0.6 z19<= 0
 g1210 - 0.6 z110<= 0
 g1211 - 0.6 z111<= 0
 g1212 - 0.6 z112<= 0
 g1213 - 0.6 z113<= 0
 g1214 - 0.6 z114<= 0
 g1215 - 0.6 z115<= 0
 g1216 - 0.6 z116<= 0
 g1217 - 0.6 z117<= 0
 g1218 - 0.6 z118<= 0
 g1219 - 0.6 z119<= 0
 g1220 - 0.6 z120<= 0
 g1221 - 0.6 z121<= 0
 g1222 - 0.6 z122<= 0
 g1223 - 0.6 z123<= 0
 g1224 - 0.6 z124<= 0

 g131 - 0.4 z11<= 0
 g132 - 0.4 z12<= 0
 g133 - 0.4 z13<= 0
 g134 - 0.4 z14<= 0
 g135 - 0.4 z15<= 0
 g136 - 0.4 z16<= 0
 g137 - 0.4 z17<= 0
 g138 - 0.4 z18<= 0
 g139 - 0.4 z19<= 0
 g1310 - 0.4 z110<= 0
 g1311 - 0.4 z111<= 0
 g1312 - 0.4 z112<= 0
 g1313 - 0.4 z113<= 0
 g1314 - 0.4 z114<= 0
 g1315 - 0.4 z115<= 0
 g1316 - 0.4 z116<= 0
 g1317 - 0.4 z117<= 0
 g1318 - 0.4 z118<= 0
 g1319 - 0.4 z119<= 0
 g1320 - 0.4 z120<= 0
 g1321 - 0.4 z121<= 0
 g1322 - 0.4 z122<= 0
 g1323 - 0.4 z123<= 0
 g1324 - 0.4 z124<= 0

 g211 - 0.35 z21<= 0
 g212 - 0.35 z22<= 0
 g213 - 0.35 z23<= 0
 g214 - 0.35 z24<= 0
 g215 - 0.35 z25<= 0
 g216 - 0.35 z26<= 0
 g217 - 0.35 z27<= 0
 g218 - 0.35 z28<= 0
 g219 - 0.35 z29<= 0
 g2110 - 0.35 z210<= 0
 g2111 - 0.35 z211<= 0
 g2112 - 0.35 z212<= 0
 g2113 - 0.35 z213<= 0
 g2114 - 0.35 z214<= 0
 g2115 - 0.35 z215<= 0
 g2116 - 0.35 z216<= 0
 g2117 - 0.35 z217<= 0
 g2118 - 0.35 z218<= 0
 g2119 - 0.35 z219<= 0
 g2120 - 0.35 z220<= 0
 g2121 - 0.35 z221<= 0
 g2122 - 0.35 z222<= 0
 g2123 - 0.35 z223<= 0
 g2124 - 0.35 z224<= 0

 g221 - 0.6 z21<= 0
 g222 - 0.6 z22<= 0
 g223 - 0.6 z23<= 0
 g224 - 0.6 z24<= 0
 g225 - 0.6 z25<= 0
 g226 - 0.6 z26<= 0
 g227 - 0.6 z27<= 0
 g228 - 0.6 z28<= 0
 g229 - 0.6 z29<= 0
 g2210 - 0.6 z210<= 0
 g2211 - 0.6 z211<= 0
 g2212 - 0.6 z212<= 0
 g2213 - 0.6 z213<= 0
 g2214 - 0.6 z214<= 0
 g2215 - 0.6 z215<= 0
 g2216 - 0.6 z216<= 0
 g2217 - 0.6 z217<= 0
 g2218 - 0.6 z218<= 0
 g2219 - 0.6 z219<= 0
 g2220 - 0.6 z220<= 0
 g2221 - 0.6 z221<= 0
 g2222 - 0.6 z222<= 0
 g2223 - 0.6 z223<= 0
 g2224 - 0.6 z224<= 0

 g231 - 0.2 z21<= 0
 g232 - 0.2 z22<= 0
 g233 - 0.2 z23<= 0
 g234 - 0.2 z24<= 0
 g235 - 0.2 z25<= 0
 g236 - 0.2 z26<= 0
 g237 - 0.2 z27<= 0
 g238 - 0.2 z28<= 0
 g239 - 0.2 z29<= 0
 g2310 - 0.2 z210<= 0
 g2311 - 0.2 z211<= 0
 g2312 - 0.2 z212<= 0
 g2313 - 0.2 z213<= 0
 g2314 - 0.2 z214<= 0
 g2315 - 0.2 z215<= 0
 g2316 - 0.2 z216<= 0
 g2317 - 0.2 z217<= 0
 g2318 - 0.2 z218<= 0
 g2319 - 0.2 z219<= 0
 g2320 - 0.2 z220<= 0
 g2321 - 0.2 z221<= 0
 g2322 - 0.2 z222<= 0
 g2323 - 0.2 z223<= 0
 g2324 - 0.2 z224<= 0

 g411 - 0.45 z41<= 0
 g412 - 0.45 z42<= 0
 g413 - 0.45 z43<= 0
 g414 - 0.45 z44<= 0
 g415 - 0.45 z45<= 0
 g416 - 0.45 z46<= 0
 g417 - 0.45 z47<= 0
 g418 - 0.45 z48<= 0
 g419 - 0.45 z49<= 0
 g4110 - 0.45 z410<= 0
 g4111 - 0.45 z411<= 0
 g4112 - 0.45 z412<= 0
 g4113 - 0.45 z413<= 0
 g4114 - 0.45 z414<= 0
 g4115 - 0.45 z415<= 0
 g4116 - 0.45 z416<= 0
 g4117 - 0.45 z417<= 0
 g4118 - 0.45 z418<= 0
 g4119 - 0.45 z419<= 0
 g4120 - 0.45 z420<= 0
 g4121 - 0.45 z421<= 0
 g4122 - 0.45 z422<= 0
 g4123 - 0.45 z423<= 0
 g4124 - 0.45 z424<= 0

 g421 - 0.5 z41<= 0
 g422 - 0.5 z42<= 0
 g423 - 0.5 z43<= 0
 g424 - 0.5 z44<= 0
 g425 - 0.5 z45<= 0
 g426 - 0.5 z46<= 0
 g427 - 0.5 z47<= 0
 g428 - 0.5 z48<= 0
 g429 - 0.5 z49<= 0
 g4210 - 0.5 z410<= 0
 g4211 - 0.5 z411<= 0
 g4212 - 0.5 z412<= 0
 g4213 - 0.5 z413<= 0
 g4214 - 0.5 z414<= 0
 g4215 - 0.5 z415<= 0
 g4216 - 0.5 z416<= 0
 g4217 - 0.5 z417<= 0
 g4218 - 0.5 z418<= 0
 g4219 - 0.5 z419<= 0
 g4220 - 0.5 z420<= 0
 g4221 - 0.5 z421<= 0
 g4222 - 0.5 z422<= 0
 g4223 - 0.5 z423<= 0
 g4224 - 0.5 z424<= 0

 g431 - 0.4 z41<= 0
 g432 - 0.4 z42<= 0
 g433 - 0.4 z43<= 0
 g434 - 0.4 z44<= 0
 g435 - 0.4 z45<= 0
 g436 - 0.4 z46<= 0
 g437 - 0.4 z47<= 0
 g438 - 0.4 z48<= 0
 g439 - 0.4 z49<= 0
 g4310 - 0.4 z410<= 0
 g4311 - 0.4 z411<= 0
 g4312 - 0.4 z412<= 0
 g4313 - 0.4 z413<= 0
 g4314 - 0.4 z414<= 0
 g4315 - 0.4 z415<= 0
 g4316 - 0.4 z416<= 0
 g4317 - 0.4 z417<= 0
 g4318 - 0.4 z418<= 0
 g4319 - 0.4 z419<= 0
 g4320 - 0.4 z420<= 0
 g4321 - 0.4 z421<= 0
 g4322 - 0.4 z422<= 0
 g4323 - 0.4 z423<= 0
 g4324 - 0.4 z424<= 0

Bounds
 0<= g111
 0<= g112
 0<= g113
 0<= g114
 0<= g115
 0<= g116
 0<= g117
 0<= g118
 0<= g119
 0<= g1110
 0<= g1111
 0<= g1112
 0<= g1113
 0<= g1114
 0<= g1115
 0<= g1116
 0<= g1117
 0<= g1118
 0<= g1119
 0<= g1120
 0<= g1121
 0<= g1122
 0<= g1123
 0<= g1124

 0<= g121
 0<= g122
 0<= g123
 0<= g124
 0<= g125
 0<= g126
 0<= g127
 0<= g128
 0<= g129
 0<= g1210
 0<= g1211
 0<= g1212
 0<= g1213
 0<= g1214
 0<= g1215
 0<= g1216
 0<= g1217
 0<= g1218
 0<= g1219
 0<= g1220
 0<= g1221
 0<= g1222
 0<= g1223
 0<= g1224

 0<= g131
 0<= g132
 0<= g133
 0<= g134
 0<= g135
 0<= g136
 0<= g137
 0<= g138
 0<= g139
 0<= g1310
 0<= g1311
 0<= g1312
 0<= g1313
 0<= g1314
 0<= g1315
 0<= g1316
 0<= g1317
 0<= g1318
 0<= g1319
 0<= g1320
 0<= g1321
 0<= g1322
 0<= g1323
 0<= g1324

 0<= g211 
 0<= g212
 0<= g213
 0<= g214
 0<= g215
 0<= g216
 0<= g217
 0<= g218
 0<= g219
 0<= g2110
 0<= g2111
 0<= g2112
 0<= g2113
 0<= g2114
 0<= g2115
 0<= g2116
 0<= g2117
 0<= g2118
 0<= g2119
 0<= g2120
 0<= g2121
 0<= g2122
 0<= g2123
 0<= g2124

 0<= g221
 0<= g222
 0<= g223
 0<= g224
 0<= g225
 0<= g226
 0<= g227
 0<= g228
 0<= g229
 0<= g2210
 0<= g2211
 0<= g2212
 0<= g2213
 0<= g2214
 0<= g2215
 0<= g2216
 0<= g2217
 0<= g2218
 0<= g2219
 0<= g2220
 0<= g2221
 0<= g2222
 0<= g2223
 0<= g2224

 0<= g231
 0<= g232
 0<= g233
 0<= g234
 0<= g235
 0<= g236
 0<= g237
 0<= g238
 0<= g239
 0<= g2310
 0<= g2311
 0<= g2312
 0<= g2313
 0<= g2314
 0<= g2315
 0<= g2316
 0<= g2317
 0<= g2318
 0<= g2319
 0<= g2320
 0<= g2321
 0<= g2322
 0<= g2323
 0<= g2324

 0<= g411
 0<= g412
 0<= g413
 0<= g414
 0<= g415
 0<= g416
 0<= g417
 0<= g418
 0<= g419
 0<= g4110
 0<= g4111
 0<= g4112
 0<= g4113
 0<= g4114
 0<= g4115
 0<= g4116
 0<= g4117
 0<= g4118
 0<= g4119
 0<= g4120
 0<= g4121
 0<= g4122
 0<= g4123
 0<= g4124

 0<= g421
 0<= g422
 0<= g423
 0<= g424
 0<= g425
 0<= g426
 0<= g427
 0<= g428
 0<= g429
 0<= g4210
 0<= g4211
 0<= g4212
 0<= g4213
 0<= g4214
 0<= g4215
 0<= g4216
 0<= g4217
 0<= g4218
 0<= g4219
 0<= g4220
 0<= g4221
 0<= g4222
 0<= g4223
 0<= g4224

 0<= g431
 0<= g432
 0<= g433
 0<= g434
 0<= g435
 0<= g436
 0<= g437
 0<= g438
 0<= g439
 0<= g4310
 0<= g4311
 0<= g4312
 0<= g4313
 0<= g4314
 0<= g4315
 0<= g4316
 0<= g4317
 0<= g4318
 0<= g4319
 0<= g4320
 0<= g4321
 0<= g4322
 0<= g4323
 0<= g4324
Integer
 z11 z12 z13 z14 z15 z16 z17 z18 z19 z110 z111 z112 z113 z114 z115 z116 z117 z118 z119 z120 z121 z122 z123 z124
 z21 z22 z23 z24 z25 z26 z27 z28 z29 z210 z211 z212 z213 z214 z215 z216 z217 z218 z219 z220 z221 z222 z223 z224
 z41 z42 z43 z44 z45 z46 z47 z48 z49 z410 z411 z412 z413 z414 z415 z416 z417 z418 z419 z420 z421 z422 z423 z424
 y12 y13 y14 y15 y16 y17 y18 y19 y110 y111 y112 y113 y114 y115 y116 y117 y118 y119 y120 y121 y122 y123 y124
 y22 y23 y24 y25 y26 y27 y28 y29 y210 y211 y212 y213 y214 y215 y216 y217 y218 y219 y220 y221 y222 y223 y224
 y42 y43 y44 y45 y46 y47 y48 y49 y410 y411 y412 y413 y414 y415 y416 y417 y418 y419 y420 y421 y422 y423 y424
 x12 x13 x14 x15 x16 x17 x18 x19 x110 x111 x112 x113 x114 x115 x116 x117 x118 x119 x120 x121 x122 x123 x124
 x22 x23 x24 x25 x26 x27 x28 x29 x210 x211 x212 x213 x214 x215 x216 x217 x218 x219 x220 x221 x222 x223 x224
 x42 x43 x44 x45 x46 x47 x48 x49 x410 x411 x412 x413 x414 x415 x416 x417 x418 x419 x420 x421 x422 x423 x424
end