Using SOS vs Not

no-SOS.lp

Minimize
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Subject To
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 c5: + change_amount - 100000 has_change >= 0
General
 change_amount
Binary
 i436 i10608 i1614 i7656 i2220 i411 i5259 i1692 i4216 i12984 i4441 i11152 i1802 i12442 i7198 i12012 i6287 i6346 i1860 i2004 i8571 i9431 i4965 i321 i4233 i2967 i1592 i6248 i12230 i9036 i8829 i1264 i10422 i4560 i5812 i11549 i8049 i7601 i2635 i3237 i6819 i3983 i3301 i6609 i3353 i3759 i12091 i9839 i4934 i7068 i9867 i914 i3685 i454 i10972 i6595 i4732 i4060 i9155 i9369 i8597 i10661 i3621 i1223 i7391 i3568 i5338 i12006 i11660 i9143 i5733 i2178 i12526 i8046 i12043 i1287 i10856 i1321 i5956 i11686 i4821 i1710 i275 i5340 i8603 i4526 i1288 i5687 i13120 i8439 i6492 i5327 i3627 i5074 i7032 i13212 i1902 i467 i5871 i6865 i6853 i1472 i9471 i8018 i4312 i8300 i1138 i8051 i1415 i4235 i4909 i6981 i8133 i9428 i9999 i5042 i1973 i12234 i1716 i2505 i11613 i10679 i1379 i2304 i727 i3775 i2961 i6613 i10791 i5523 i1206 i1734 i898 i1369 i6836 i12866 i6214 i3338 i258 i3265 i9350 i9890 i1906 i1728 i10581 i10076 i6557 i2369 i2166 i12929 i10936 i11315 i2458 i11140 i748 i12242 i5702 i11668 i6364 i2776 i6398 i3659 i340 i4422 i1424 i10871 i7491 i9748 i12463 i5388 i4030 i2623 i357 i11025 i5813 i11327 i646 i13019 i3448 i12114 i3439 i7255 i55 i12481 i8931 i3526 i10012 i3168 i5013 i1357 i4812 i7415 i9066 i7188 i298 i1687 i8504 i3809 i3320 i11598 i12003 i1780 i11216 i4063 i5171 i10451 i10857 i9887 i11427 i6127 i9626 i12112 i7350 i1607 i1908 i1127 i11419 i5708 i2018 i9267 i7722 i2860 i7514 i7870 i1365 i8575 i12606 i10342 i6529 i10934 i10208 i10982 i9937 i6382 i6964 i7355 i6129 i11643 i10360 i8706 i10409 i5986 i6805 i6472 i9600 i11142 i11132 i7033 i2966 i12151 i2993 i9315 i13056 i4085 i1412 i10198 i6052 i2749 i12795 i1102 i192 i880 i10990 i13196 i2818 i9716 i3372 i4616 i7534 i10046 i10365 i9233 i7726 i3139 i7202 i8477 i1920 i12757 i12838 i2532 i11088 i6532 i1229 i287 i1276 i7917 i6405 i10777 i5676 i1773 i3394 i11083 i12370 i1121 i11826 i12082 i397 i3437 i772 i9513 i4931 i4790 i2465 i5015 i3630 i7661 i2153 i12586 i6026 i5360 i735 i11253 i5113 i11918 i9368 i1746 i7256 i1269 i9126 i11176 i4351 i12603 i4539 i5200 i4576 i7615 i9700 i7659 i540 i824 i1740 i2492 i2130 i4957 i12009 i9670 i6790 i12786 i764 i7789 i10379 i4227 i9726 i7114 i2041 i11099 i3928 i1483 i7779 i187 i12583 i11739 i5194 i5928 i4341 i2933 i2254 i6729 i7673 i5489 i4577 i3489 i7470 i11627 i6770 i12179 i3933 i6725 i3793 i5007 i9750 i6450 i12214 i13229 i4804 i3861 i8937 i8279 i6907 i3553 i3268 i11536 i8428 i8993 i6679 i985 i10979 i1840 i6267 i7341 i13037 i11248 i1714 i10694 i4636 i6837 i10238 i4798 i11472 i9167 i4488 i10042 i200 i6242 i8764 i8162 i9585 i8436 i7419 i11283 i4634 i9156 i7497 i10930 i10519 i4940 i905 i3162 i6486 i9923 i711 i12111 i6772 i807 i7999 i1950 i3006 i8023 i9927 i10140 i659 i3492 i7983 i11741 i1112 i1604 i3296 i1931 i7610 i11138 i1161 i5249 i9420 i10006 i6272 i3345 i12472 i10190 i1922 i897 i5118 i13146 i10726 i7531 i1023 i12834 i3663 i6023 i10706 i9202 i13072 i8326 i6167 i9123 i9040 i6427 i7859 i7737 i9649 i3462 i10916 i2251 i9777 i8276 i9162 i3778 i7804 i7759 i13055 i5848 i7677 i3429 i11876 i5002 i11144 i6432 i1756 i10350 i2780 i5271 i4515 i10477 i698 i872 i7203 i8418 i3937 i11485 i1972 i12422 i6801 i91 i6034 i6777 i5651 i7590 i4861 i4474 i9283 i12124 i6503 i3592 i4454 i7416 i10223 i5724 i11746 i2023 i5330 i9338 i8467 i4996 i6016 i9433 i10649 i9128 i7724 i11187 i8150 i434 i9906 i9065 i3733 i1382 i13199 i2835 i12945 i10551 i10366 i13047 i5663 i276 i12901 i12178 i861 i1243 i11386 i7663 i6404 i11831 i4966 i4637 i6617 i6519 i147 i4975 i9394 i12252 i9775 i11572 i7933 i11673 i826 i12750 i3360 i7338 i9092 i10763 i996 i6481 i76 i6213 i1326 i6209 i5735 i1303 i7002 i5463 i4666 i2523 i10247 i3208 i4304 i12741 i11528 i549 i10891 i9580 i6743 i12585 i7472 i7414 i10269 i12846 i9497 i8857 i8203 i6776 i8009 i363 i5546 i4643 i10818 i9553 i5578 i9931 i4888 i934 i10467 i1833 i10344 i5642 i1230 i504 i2055 i7361 i12660 i5097 i2765 i3684 i7295 i8990 i8047 i13122 i11961 i3622 i8500 i8131 i10023 i5755 i10089 i7170 i559 i12762 i1387 i644 i4332 i11589 i12878 i8267 i3477 i2824 i745 i10157 i10481 i4170 i11568 i4000 i3214 i11481 i8798 i12923 i5500 i9981 i3108 i7836 i6630 i3049 i4098 i1254 i7964 i460 i8907 i6656 o6 i7648 i3270 i5024 i478 i1551 i9573 i3844 i2560 i1031 i13198 i6840 i2755 i4359 i8634 i9983 i3041 i6858 i12147 i10927 i2227 i496 i13175 i1297 i8676 i12536 i5968 i8407 i1106 i11955 i6741 i2566 i9940 i4691 i9778 i10896 i1207 i6940 i3283 i264 i4794 i10057 i11313 i7392 i330 i7729 i11638 i8492 i780 i2854 i1147 i6563 i12571 i2394 i7517 i8387 i5614 i1116 i348 i4868 i124 i10574 i1283 i7131 i10702 i589 i8085 i10808 i10880 i6359 i8081 i2211 i4012 i3879 i9506 i2342 i5483 i3856 i2708 i8398 i2594 i4469 i1314 i12350 i8731 i10682 i2060 i12764 i12193 i11477 i11247 i6284 i10359 i4670 i4707 i4834 i5386 i7810 i5045 i8064 i5261 i9304 i9095 i10465 i12913 i4380 i11838 i7782 i9090 i8971 i11326 i8090 i8653 i7887 i8007 i579 i13059 i8455 i1698 i8328 i12400 i8754 i11157 i11926 i1620 i7174 i8781 i634 i9180 i1259 i13009 i12774 i2296 i12022 i4027 i11545 i12378 i9203 i5454 i12087 i3758 i6318 i911 i10641 i9473 i6025 i10299 i5284 i1661 i2785 i5486 i4561 i2856 i3686 i10861 i3815 i10981 i12175 i214 i4321 i9005 i7105 i9996 i13032 i9881 i12675 i3829 i8341 i10807 i11636 i11810 i6212 i6197 i7322 i1917 i12747 i11436 i11986 i4820 i5189 i12036 i6402 i9007 i6765 i1204 i5163 i1609 i4201 i11947 i6724 i6286 i5399 i5894 i5825 i12949 i1216 i12479 i148 i1450 i10836 i3819 i12267 i8111 i3391 i8897 i6697 i1066 i3235 i4822 i9482 i5882 i7670 i12821 i1101 i6881 i8031 i8406 i9124 i6074 i7288 i3471 i8388 i10159 i8230 i9496 i11432 i2098 i781 i13206 i8027 i11649 i12808 i5729 i5695 i6255 i10834 i763 i8359 i12607 i7394 i8462 i5742 i11934 i4998 i1621 i2642 i13027 i3327 i8542 i10174 i6487 i1651 i3403 i7980 i6347 i604 i5382 i7905 i1493 i5559 i8892 i3424 i12815 i12416 i8119 i9491 i5044 i5780 i6001 i6704 i2720 i6191 i8321 i11699 i3161 i10448 i12622 i11605 i1434 i8152 i5003 i2268 i2340 i830 i10324 i5133 i9256 i4917 i7091 i13169 i10567 i8693 i1513 i693 i2986 i10524 i4571 i11946 i8917 i2103 i8464 i6323 i1733 i12000 i7115 i11733 i6343 i5384 i10457 i4158 i5744 i8513 i11230 i8578 i12379 i8020 i8664 i8633 i6525 i4117 i7119 i9176 i6901 i5804 i5835 i11118 i7083 i3934 i7774 i10849 i1368 i12464 i2270 i6116 i4242 i1113 i6959 i4091 i6498 i2842 i6277 i6691 i1089 i5336 i7503 i678 i8368 i2233 i8275 i5310 i10119 i9770 i1552 i7357 i2897 i3076 i12828 i6700 i6600 i5878 i8711 i3259 i9734 i1100 i12772 i10022 i12079 i7143 i9958 i3349 i9468 i3356 i9071 i5870 i11544 i2855 i11175 i12983 i8686 i8412 i7569 i9992 i3313 i7720 i11320 i13216 i3548 i3128 i226 i12849 i8036 i3723 i8872 i11621 i4356 i11462 i3773 i8414 i4133 i5496 i9091 i10592 i10564 i7552 i1506 i2751 i9510 i10105 i3603 i9023 i9872 i12383 i9916 i6194 i11825 i4918 i365 i7171 i10850 i12240 i11029 i11444 i9239 i9108 i1805 i4298 i12731 i4456 i9978 i8750 i8961 i7465 i1165 i3155 i12513 i11129 i9779 i376 i7079 i7439 i54 i7040 i4989 i1548 i295 i6526 i6411 i281 i4339 i2074 i4937 i2057 i2212 i3940 i3635 i8817 i2506 i11514 i3295 i6809 i12809 i10129 i3373 i6453 i7317 i5366 i10170 i4618 i8145 i506 i11546 i87 i10771 i12508 i4838 i5852 i11582 i2102 i10193 i6165 i801 i8016 i259 i5762 i12476 i2820 i2529 i5195 i5363 i12011 i5891 i396 i632 i8550 i873 i2881 i9997 i9717 i1717 i4696 i2595 i8753 i12994 i1311 i7664 i3878 i4698 i2084 i11219 i7710 i232 i660 i3816 i7738 i576 i3694 i5339 i9184 i1383 i10043 i10584 i10094 i294 i9653 i3564 i9606 i3082 i11776 i5972 i4128 i10216 i1272 i5884 i12914 i4749 i12183 i3994 i3865 i483 i9627 i6669 i10084 i7004 i5396 i10906 i5706 i3043 i6019 i6176 i6887 i13149 i10332 i9587 i11369 i11431 i8558 i950 i1135 i8422 i8280 i6101 i2582 i3507 i10643 i12527 i7398 i3661 i6217 i213 i10317 i10740 i1438 i3989 i773 i9912 i7381 i9346 i2694 i3225 i2177 i3715 i11385 i5334 i3022 i8040 i6032 i371 i12014 i5347 i10568 i9462 i9639 i8671 i7743 i6979 i3909 i2138 i10958 i3678 i6579 i9187 i401 i8680 i2209 i3008 i12953 i10003 i10897 i7599 i9522 i6586 i12197 i2173 i585 i3930 i8468 i10303 i4416 i6577 i5054 i8975 i10978 i1624 i11924 i4168 i5512 i6597 i5196 i9457 i302 i12615 i8758 i725 i263 i12811 i5460 i5511 i5974 i12174 i2200 i846 i1499 i941 i12084 i8590 i6119 i52 i6760 i6093 i9034 i2663 i4048 i3811 i12775 i8515 i11560 i13121 i13064 i11522 i11422 i7489 i931 i3781 i11744 i4033 i789 i7680 i13190 i7877 i6912 i5761 i4257 i12938 i12739 i457 i7962 i6680 i4857 i9822 i10559 i3216 i7630 i4333 i1284 i9068 i13179 i11445 i10700 i11465 i12946 i1308 i6750 i7402 i5616 i10255 i9449 i2082 i12109 i3252 i12008 i224 i9103 i6950 i2022 i5781 i11351 i5380 i5712 i4953 i10652 i2412 i6649 i1891 i11210 i11309 i7508 i10912 i12390 i7621 i12597 i12563 i3841 i486 i1901 i2187 i11655 i10318 i9537 i11950 i7197 i1109 i10137 i1411 i9375 i6807 i7566 i12283 i6619 i443 i9784 i2575 i2896 i10073 i10762 i7668 i2916 i7308 i8035 i4142 i944 i12796 i5526 i2405 i11658 i3884 i8788 i5350 i4867 i11873 i5157 i10914 i10 i6932 i11409 i11038 i5530 i2935 i8364 i2051 i1776 i10988 i7912 i4269 i12822 i7829 i13026 i8978 i9671 i3151 i8932 i11677 i127 i10561 i12533 i2621 i12071 i3493 i5960 i8491 i12812 i6485 i679 i8205 i3436 i7204 i7619 i8440 i8501 i5046 i5705 i9328 i12993 i8879 i10534 i11075 i9832 i7959 i9646 i12997 i7660 i309 i4062 i2072 i7 i2550 i10142 i11095 i6440 i4800 i5738 i3609 i5667 i10948 i675 i6463 i7329 i11051 i9487 i1453 i4217 i6759 i2050 i5450 i3990 i9499 i11105 i11323 i1140 i7747 i4554 i11417 i8791 i231 i7228 i12858 i13205 i4110 i874 i1666 i4275 i465 i12968 i2409 i6753 i4621 i500 i2802 i7944 i7607 i7682 i2519 i6321 i892 i852 i921 i273 i2688 i10915 i5590 i9136 i9620 i1632 i6581 i12033 i6962 i9563 i11765 i6328 i9836 i12843 i8351 i9514 i3857 i8819 i6202 i1897 i3326 i10019 i630 i12452 i2314 i10604 i11076 i731 i10743 i3918 i5323 i6592 i586 i13030 i10307 i12977 i7704 i12628 i4596 i8389 i13023 i11886 i3544 i1301 i8379 i4403 i9195 i12980 i5001 i984 i7121 i6871 i13208 i11656 i1849 i207 i8679 i3427 i12645 i4895 i1115 i5209 i4090 i11920 i9988 i10802 i7977 i11382 i12029 i7970 i6140 i3736 i12516 i10184 i11584 i933 i827 i217 i2902 i9243 i4955 i12788 i956 i2450 i11131 i2094 i2195 i1120 i10658 i5239 i3501 i8207 i11218 i11500 i8913 i10274 i1524 i9970 i8992 i1030 i1832 i7078 i6285 i7273 i10528 i3709 i10576 i7558 i5905 i191 i5775 i11021 i13174 i3275 i11173 i960 i1751 i11116 i8226 i3521 i9358 i13053 i9087 i9525 i11430 i2202 i12719 i7246 i13165 i10222 i3734 i6403 i1177 i1455 i9146 i5022 i9327 i12326 i4323 i3000 i904 i9862 i3473 i2811 i5085 i3880 i6685 i6162 i8452 i10701 i1711 i8041 i7139 i12328 i12616 i4250 i9503 i4950 i6980 i6163 i642 i955 i5111 i7562 i13007 i12058 i5562 i5824 i1220 i2773 i7856 i4736 i1194 i3416 i11846 i2769 i8117 i8272 i11936 i10518 i1190 i5335 i5381 i1971 i9251 i3367 i9164 i11435 i3124 i9119 i10109 i11371 i11747 i1652 i9865 i8847 i8805 i2807 i6069 i7291 i12263 i1105 i2484 i12552 i643 i2391 i6534 i11005 i4316 i9694 i778 i6271 i1909 i6097 i8849 i9081 i4437 i1238 i8052 i12896 i12301 i10589 i11685 i10173 i4530 i6551 i12954 i599 i10629 i2455 i6239 i2968 i430 i1065 i12162 i282 i5979 i12155 i10630 i11882 i10066 i6291 i11912 i4647 i6070 i4625 i3064 i10220 i4408 i7055 i3163 i11983 i265 i6294 i13116 i5217 i3842 i11956 i6629 i9466 i5715 i4703 i7098 i8608 i2885 i4370 i11671 i4409 i6859 i11599 i6822 i11357 i6852 i10144 i2798 i7523 i11228 i680 i10054 i6412 i2609 i2587 i6509 i3342 i13128 i10364 i9235 i5231 i5827 i7795 i12001 i2685 i5278 i12650 i6718 i11193 i513 i7327 i7831 i885 i12418 i2782 i3251 i4300 i2358 i9520 i11775 i10145 i3729 i10007 i7151 i11647 i8948 i9460 i9067 i11809 i11688 i9268 i7752 i10214 i2557 i8097 i895 i8319 i7988 i12930 i9768 i6185 i10625 i8838 i2062 i4387 i12125 i8811 i3763 i1021 i12634 i12195 i5349 i157 i9193 i3550 i9652 i1994 i13058 i4015 i13057 i13052 i13063 i11664 i2128 i12648 i2814 i555 i8537 i11317 i4538 i935 i4305 i12736 i3418 i3331 i267 i3646 i8926 i10712 i12810 i3980 i9648 i6734 i220 i2085 i4605 i4553 i8539 i7768 i6436 i1855 i9422 i4248 i4986 i5028 i1073 i13098 i10002 i4363 i8600 o8 i918 i9618 i10530 i5658 i304 i4296 i3810 i1531 i2971 i12007 i724 i4129 i11888 i9011 i11750 i1628 i1857 i8587 i2430 i11604 i10565 i1420 i10508 i1566 i242 i3179 i12735 i7745 i9321 i2764 i7409 i1590 i4481 i7123 i1003 i4658 i3085 i8380 i203 i3454 i6473 i161 i928 i12644 i10294 i4527 i383 i7567 i8963 i5575 i475 i5306 i2042 i12294 i3530 i8589 i4865 i10554 i4203 i6438 i4315 i1413 i5718 i4849 i435 i3608 i4310 i6939 i7540 i6407 i424 i1627 i12531 i4505 i792 i5481 i7339 i7126 i2348 i7360 i12327 i10496 i10313 i12423 i3415 i8757 i1393 i12518 i12072 i5877 i1433 i9667 i12031 i9730 i1331 i5430 i12870 i9901 i4468 i4662 i4102 i7081 i13079 i2732 i12895 i1882 i4583 i767 i5053 i2563 i7787 i13207 i9554 i3766 i1523 i12131 i837 i1991 i4243 i2223 i10429 i12250 i11267 i1748 i11404 i11510 i8339 i4660 i11712 i11811 i4841 i2936 i1952 i3683 i3232 i6991 i4584 i8471 i1000 i8660 i11239 i7022 i4935 i7424 i12132 i9232 i10980 i4421 i5023 i12596 i53 i5285 i6301 i26 i5797 i6896 i7901 i10095 i5299 i13125 i12541 i7561 i8430 i9214 i2475 i5182 i6012 i6018 i10722 i10334 i9941 i6957 i7669 i12236 i993 i858 i6058 i12068 i11077 i4179 i9048 i4700 i5478 i10986 i1099 i6698 i13186 i3126 i10474 i9001 i3582 i12080 i7624 i4141 i10821 i2702 i2065 i8254 i156 i11107 i3449 i3660 i4930 i6125 i11004 i1082 i8832 i7177 i5953 i12943 i4686 o9 i4514 i12733 i9532 i6112 i2127 i306 i4537 i1813 i11797 i2025 i5317 i4597 i7848 i2849 i11213 i9851 i2140 i12156 i7845 i5190 i977 i2010 i11661 i11093 i10423 i9874 i9343 i8737 i2510 i2083 i8355 i6292 i12844 i9625 i12507 i10645 i7814 i12254 i8543 i9769 i878 i3673 i3828 i3966 i998 i4489 i3699 i35 i11347 i10484 i8289 i7242 i13209 i12889 i6441 i784 i9745 i8885 i12414 i12172 i7592 i3410 i677 i1236 i120 i13162 i10970 i9752 i6795 i5748 i3176 i12925 i4374 i9178 i4531 i3632 i2940 i2928 i870 i44 i3776 i10063 i8939 i10639 i3881 i143 i5630 i1026 i8903 i7751 i10846 i2593 i10091 i9800 i6146 i6803 i4 i7655 i9826 i10940 i12204 i11106 i10965 i4251 i8780 i10330 i10667 i2156 i7451 i3072 i11868 i11995 i1344 i10039 i7570 i10754 i1055 i11590 i6215 i8734 i3282 i10377 i2203 i10814 i8732 i2327 i3862 i3575 i5643 i185 i4205 i10262 i2247 i2110 i12144 i4685 i3679 i46 i2883 i6500 i206 i11989 i1156 i11217 i11033 i741 i7546 i8875 i6740 i69 i7820 i4115 i4557 i12191 i11506 i10713 i13060 i7049 i4532 i2169 i6221 i13176 i215 i2579 i3788 i11556 i11482 i7085 i177 i10586 i11529 i8675 i12738 i13152 i9443 i262 i12916 i10300 i6190 i11008 i5911 i9453 i1676 i3916 i169 i5356 i5886 i9676 i6193 i12271 i1593 i1241 i6232 i5912 i7438 i12807 i2182 i10368 i3618 i12627 i7572 i6922 i1180 i6755 i1961 i4677 i4463 i455 i9936 i11634 i2400 i12389 i11929 i4089 i11060 i9332 i1650 i10115 i7238 i10232 i6705 i10290 i9161 i5601 i11774 i11069 i9902 i3261 i107 i10206 i12396 i5050 i4155 i8129 i12715 i3826 i7990 i3417 i10876 i9274 i5916 i11993 i10539 i3812 i10380 i9089 i12842 i5587 i10369 i12431 i6748 i7616 i6996 i6384 i5041 i9012 i12827 i11390 i5086 i3167 i6075 i6723 i10660 i7577 i48 i8100 i1799 i11406 i8055 i5043 i5470 i227 i10372 i3300 i2592 i12884 i5461 i6181 i958 i4107 i4439 i10707 i12831 i12976 i4458 i9111 i2970 i1669 i3730 i7559 i10653 i7227 i9844 i5073 i12134 i12434 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End

with-SOS.lp

Minimize
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