\ Equation counts \ Total E G L N X C B \ 1 1 0 0 0 0 0 0 \ \ Variable counts \ x b i s1s s2s sc si \ Total cont binary integer sos1 sos2 scont sint \ 1000 1000 0 0 0 0 0 0 \ \ Nonzero counts \ Total const NL DLL \ 2000 0 2000 0 \ Minimize obj: 500 - x1 - .999 x2 - .998 x3 - .997 x4 - .996 x5 - .995 x6 - .994 x7 - .993 x8 - .992 x9 - .991 x10 - .99 x11 - .989 x12 - .988 x13 - .987 x14 - .986 x15 - .985 x16 - .984 x17 - .983 x18 - .982 x19 - .981 x20 - .98 x21 - .979 x22 - .978 x23 - .977 x24 - .976 x25 - .975 x26 - .974 x27 - .973 x28 - .972 x29 - .971 x30 - .97 x31 - .969 x32 - .968 x33 - .967 x34 - .966 x35 - .965 x36 - .964 x37 - .963 x38 - .962 x39 - .961 x40 - .96 x41 - .959 x42 - .958 x43 - .957 x44 - .956 x45 - .955 x46 - .954 x47 - .953 x48 - .952 x49 - .951 x50 - .95 x51 - .949 x52 - .948 x53 - .947 x54 - .946 x55 - .945 x56 - .944 x57 - .943 x58 - .942 x59 - .941 x60 - .94 x61 - .939 x62 - .938 x63 - .937 x64 - .936 x65 - .935 x66 - .934 x67 - .933 x68 - .932 x69 - .931 x70 - .93 x71 - .929 x72 - .928 x73 - .927 x74 - .926 x75 - .925 x76 - .924 x77 - .923 x78 - .922 x79 - .921 x80 - .92 x81 - .919 x82 - .918 x83 - .917 x84 - .916 x85 - .915 x86 - .914 x87 - .913 x88 - .912 x89 - .911 x90 - .91 x91 - .909 x92 - .908 x93 - .907 x94 - .906 x95 - .905 x96 - .904 x97 - .903 x98 - .902 x99 - .901 x100 - .9 x101 - .899 x102 - .898 x103 - .897 x104 - .896 x105 - .895 x106 - .894 x107 - .893 x108 - .892 x109 - .891 x110 - .89 x111 - .889 x112 - .888 x113 - .887 x114 - .886 x115 - .885 x116 - .884 x117 - .883 x118 - .882 x119 - .881 x120 - .88 x121 - .879 x122 - .878 x123 - .877 x124 - .876 x125 - .875 x126 - .874 x127 - .873 x128 - .872 x129 - .871 x130 - .87 x131 - .869 x132 - .868 x133 - .867 x134 - .866 x135 - .865 x136 - .864 x137 - .863 x138 - .862 x139 - .861 x140 - .86 x141 - .859 x142 - .858 x143 - .857 x144 - .856 x145 - .855 x146 - .854 x147 - .853 x148 - .852 x149 - .851 x150 - .85 x151 - .849 x152 - .848 x153 - .847 x154 - .846 x155 - .845 x156 - .844 x157 - .843 x158 - .842 x159 - .841 x160 - .84 x161 - .839 x162 - .838 x163 - .837 x164 - .836 x165 - .835 x166 - .834 x167 - .833 x168 - .832 x169 - .831 x170 - .83 x171 - .829 x172 - .828 x173 - .827 x174 - .826 x175 - .825 x176 - .824 x177 - .823 x178 - .822 x179 - .821 x180 - .82 x181 - .819 x182 - .818 x183 - .817 x184 - .816 x185 - .815 x186 - .814 x187 - .813 x188 - .812 x189 - .811 x190 - .81 x191 - .809 x192 - .808 x193 - .807 x194 - .806 x195 - .805 x196 - .804 x197 - .803 x198 - .802 x199 - .801 x200 - .8 x201 - .799 x202 - .798 x203 - .797 x204 - .796 x205 - .795 x206 - .794 x207 - .793 x208 - .792 x209 - .791 x210 - .79 x211 - .789 x212 - .788 x213 - .787 x214 - .786 x215 - .785 x216 - .784 x217 - .783 x218 - .782 x219 - .781 x220 - .78 x221 - .779 x222 - .778 x223 - .777 x224 - .776 x225 - .775 x226 - .774 x227 - .773 x228 - .772 x229 - .771 x230 - .77 x231 - .769 x232 - .768 x233 - .767 x234 - .766 x235 - .765 x236 - .764 x237 - .763 x238 - .762 x239 - .761 x240 - .76 x241 - .759 x242 - .758 x243 - .757 x244 - .756 x245 - .755 x246 - .754 x247 - .753 x248 - .752 x249 - .751 x250 - .75 x251 - .749 x252 - .748 x253 - .747 x254 - .746 x255 - .745 x256 - .744 x257 - .743 x258 - .742 x259 - .741 x260 - .74 x261 - .739 x262 - .738 x263 - .737 x264 - .736 x265 - .735 x266 - .734 x267 - .733 x268 - .732 x269 - .731 x270 - .73 x271 - .729 x272 - .728 x273 - .727 x274 - .726 x275 - .725 x276 - .724 x277 - .723 x278 - .722 x279 - .721 x280 - .72 x281 - .719 x282 - .718 x283 - .717 x284 - .716 x285 - .715 x286 - .714 x287 - .713 x288 - .712 x289 - .711 x290 - .71 x291 - .709 x292 - .708 x293 - .707 x294 - .706 x295 - .705 x296 - .704 x297 - .703 x298 - .702 x299 - .701 x300 - .7 x301 - .699 x302 - .698 x303 - .697 x304 - .696 x305 - .695 x306 - .694 x307 - .693 x308 - .692 x309 - .691 x310 - .69 x311 - .689 x312 - .688 x313 - .687 x314 - .686 x315 - .685 x316 - .684 x317 - .683 x318 - .682 x319 - .681 x320 - .68 x321 - .679 x322 - .678 x323 - .677 x324 - .676 x325 - .675 x326 - .674 x327 - .673 x328 - .672 x329 - .671 x330 - .67 x331 - .669 x332 - .668 x333 - .667 x334 - .666 x335 - .665 x336 - .664 x337 - .663 x338 - .662 x339 - .661 x340 - .66 x341 - .659 x342 - .658 x343 - .657 x344 - .656 x345 - .655 x346 - .654 x347 - .653 x348 - .652 x349 - .651 x350 - .65 x351 - .649 x352 - .648 x353 - .647 x354 - .646 x355 - .645 x356 - .644 x357 - .643 x358 - .642 x359 - .641 x360 - .64 x361 - .639 x362 - .638 x363 - .637 x364 - .636 x365 - .635 x366 - .634 x367 - .633 x368 - .632 x369 - .631 x370 - .63 x371 - .629 x372 - .628 x373 - .627 x374 - .626 x375 - .625 x376 - .624 x377 - .623 x378 - .622 x379 - .621 x380 - .62 x381 - .619 x382 - .618 x383 - .617 x384 - .616 x385 - .615 x386 - .614 x387 - .613 x388 - .612 x389 - .611 x390 - .61 x391 - .609 x392 - .608 x393 - .607 x394 - .606 x395 - .605 x396 - .604 x397 - .603 x398 - .602 x399 - .601 x400 - .6 x401 - .599 x402 - .598 x403 - .597 x404 - .596 x405 - .595 x406 - .594 x407 - .593 x408 - .592 x409 - .591 x410 - .59 x411 - .589 x412 - .588 x413 - .587 x414 - .586 x415 - .585 x416 - .584 x417 - .583 x418 - .582 x419 - .581 x420 - .58 x421 - .579 x422 - .578 x423 - .577 x424 - .576 x425 - .575 x426 - .574 x427 - .573 x428 - .572 x429 - .571 x430 - .57 x431 - .569 x432 - .568 x433 - .567 x434 - .566 x435 - .565 x436 - .564 x437 - .563 x438 - .562 x439 - .561 x440 - .56 x441 - .559 x442 - .558 x443 - .557 x444 - .556 x445 - .555 x446 - .554 x447 - .553 x448 - .552 x449 - .551 x450 - .55 x451 - .549 x452 - .548 x453 - .547 x454 - .546 x455 - .545 x456 - .544 x457 - .543 x458 - .542 x459 - .541 x460 - .54 x461 - .539 x462 - .538 x463 - .537 x464 - .536 x465 - .535 x466 - .534 x467 - .533 x468 - .532 x469 - .531 x470 - .53 x471 - .529 x472 - .528 x473 - .527 x474 - .526 x475 - .525 x476 - .524 x477 - .523 x478 - .522 x479 - .521 x480 - .52 x481 - .519 x482 - .518 x483 - .517 x484 - .516 x485 - .515 x486 - .514 x487 - .513 x488 - .512 x489 - .511 x490 - .51 x491 - .509 x492 - .508 x493 - .507 x494 - .506 x495 - .505 x496 - .504 x497 - .503 x498 - .502 x499 - .501 x500 - .5 x501 - .499 x502 - .498 x503 - .497 x504 - .496 x505 - .495 x506 - .494 x507 - .493 x508 - .492 x509 - .491 x510 - .49 x511 - .489 x512 - .488 x513 - .487 x514 - .486 x515 - .485 x516 - .484 x517 - .483 x518 - .482 x519 - .481 x520 - .48 x521 - .479 x522 - .478 x523 - .477 x524 - .476 x525 - .475 x526 - .474 x527 - .473 x528 - .472 x529 - .471 x530 - .47 x531 - .469 x532 - .468 x533 - .467 x534 - .466 x535 - .465 x536 - .464 x537 - .463 x538 - .462 x539 - .461 x540 - .46 x541 - .459 x542 - .458 x543 - .457 x544 - .456 x545 - .455 x546 - .454 x547 - .453 x548 - .452 x549 - .451 x550 - .45 x551 - .449 x552 - .448 x553 - .447 x554 - .446 x555 - .445 x556 - .444 x557 - .443 x558 - .442 x559 - .441 x560 - .44 x561 - .439 x562 - .438 x563 - .437 x564 - .436 x565 - .435 x566 - .434 x567 - .433 x568 - .432 x569 - .431 x570 - .43 x571 - .429 x572 - .428 x573 - .427 x574 - .426 x575 - .425 x576 - .424 x577 - .423 x578 - .422 x579 - .421 x580 - .42 x581 - .419 x582 - .418 x583 - .417 x584 - .416 x585 - .415 x586 - .414 x587 - .413 x588 - .412 x589 - .411 x590 - .41 x591 - .409 x592 - .408 x593 - .407 x594 - .406 x595 - .405 x596 - .404 x597 - .403 x598 - .402 x599 - .401 x600 - .4 x601 - .399 x602 - .398 x603 - .397 x604 - .396 x605 - .395 x606 - .394 x607 - .393 x608 - .392 x609 - .391 x610 - .39 x611 - .389 x612 - .388 x613 - .387 x614 - .386 x615 - .385 x616 - .384 x617 - .383 x618 - .382 x619 - .381 x620 - .38 x621 - .379 x622 - .378 x623 - .377 x624 - .376 x625 - .375 x626 - .374 x627 - .373 x628 - .372 x629 - .371 x630 - .37 x631 - .369 x632 - .368 x633 - .367 x634 - .366 x635 - .365 x636 - .364 x637 - .363 x638 - .362 x639 - .361 x640 - .36 x641 - .359 x642 - .358 x643 - .357 x644 - .356 x645 - .355 x646 - .354 x647 - .353 x648 - .352 x649 - .351 x650 - .35 x651 - .349 x652 - .348 x653 - .347 x654 - .346 x655 - .345 x656 - .344 x657 - .343 x658 - .342 x659 - .341 x660 - .34 x661 - .339 x662 - .338 x663 - .337 x664 - .336 x665 - .335 x666 - .334 x667 - .333 x668 - .332 x669 - .331 x670 - .33 x671 - .329 x672 - .328 x673 - .327 x674 - .326 x675 - .325 x676 - .324 x677 - .323 x678 - .322 x679 - .321 x680 - .32 x681 - .319 x682 - .318 x683 - .317 x684 - .316 x685 - .315 x686 - .314 x687 - .313 x688 - .312 x689 - .311 x690 - .31 x691 - .309 x692 - .308 x693 - .307 x694 - .306 x695 - .305 x696 - .304 x697 - .303 x698 - .302 x699 - .301 x700 - .3 x701 - .299 x702 - .298 x703 - .297 x704 - .296 x705 - .295 x706 - .294 x707 - .293 x708 - .292 x709 - .291 x710 - .29 x711 - .289 x712 - .288 x713 - .287 x714 - .286 x715 - .285 x716 - .284 x717 - .283 x718 - .282 x719 - .281 x720 - .28 x721 - .279 x722 - .278 x723 - .277 x724 - .276 x725 - .275 x726 - .274 x727 - .273 x728 - .272 x729 - .271 x730 - .27 x731 - .269 x732 - .268 x733 - .267 x734 - .266 x735 - .265 x736 - .264 x737 - .263 x738 - .262 x739 - .261 x740 - .26 x741 - .259 x742 - .258 x743 - .257 x744 - .256 x745 - .255 x746 - .254 x747 - .253 x748 - .252 x749 - .251 x750 - .25 x751 - .249 x752 - .248 x753 - .247 x754 - .246 x755 - .245 x756 - .244 x757 - .243 x758 - .242 x759 - .241 x760 - .24 x761 - .239 x762 - .238 x763 - .237 x764 - .236 x765 - .235 x766 - .234 x767 - .233 x768 - .232 x769 - .231 x770 - .23 x771 - .229 x772 - .228 x773 - .227 x774 - .226 x775 - .225 x776 - .224 x777 - .223 x778 - .222 x779 - .221 x780 - .22 x781 - .219 x782 - .218 x783 - .217 x784 - .216 x785 - .215 x786 - .214 x787 - .213 x788 - .212 x789 - .211 x790 - .21 x791 - .209 x792 - .208 x793 - .207 x794 - .206 x795 - .205 x796 - .204 x797 - .203 x798 - .202 x799 - .201 x800 - .2 x801 - .199 x802 - .198 x803 - .197 x804 - .196 x805 - .195 x806 - .194 x807 - .193 x808 - .192 x809 - .191 x810 - .19 x811 - .189 x812 - .188 x813 - .187 x814 - .186 x815 - .185 x816 - .184 x817 - .183 x818 - .182 x819 - .181 x820 - .18 x821 - .179 x822 - .178 x823 - .177 x824 - .176 x825 - .175 x826 - .174 x827 - .173 x828 - .172 x829 - .171 x830 - .17 x831 - .169 x832 - .168 x833 - .167 x834 - .166 x835 - .165 x836 - .164 x837 - .163 x838 - .162 x839 - .161 x840 - .16 x841 - .159 x842 - .158 x843 - .157 x844 - .156 x845 - .155 x846 - .154 x847 - .153 x848 - .152 x849 - .151 x850 - .15 x851 - .149 x852 - .148 x853 - .147 x854 - .146 x855 - .145 x856 - .144 x857 - .143 x858 - .142 x859 - .141 x860 - .14 x861 - .139 x862 - .138 x863 - .137 x864 - .136 x865 - .135 x866 - .134 x867 - .133 x868 - .132 x869 - .131 x870 - .13 x871 - .129 x872 - .128 x873 - .127 x874 - .126 x875 - .125 x876 - .124 x877 - .123 x878 - .122 x879 - .121 x880 - .12 x881 - .119 x882 - .118 x883 - .117 x884 - .116 x885 - .115 x886 - .114 x887 - .113 x888 - .112 x889 - .111 x890 - .11 x891 - .109 x892 - .108 x893 - .107 x894 - .106 x895 - .105 x896 - .104 x897 - .103 x898 - .102 x899 - .101 x900 - .1 x901 - 9.9e-2 x902 - 9.8e-2 x903 - 9.7e-2 x904 - 9.6e-2 x905 - 9.5e-2 x906 - 9.4e-2 x907 - 9.3e-2 x908 - 9.2e-2 x909 - 9.1e-2 x910 - 9e-2 x911 - 8.9e-2 x912 - 8.8e-2 x913 - 8.7e-2 x914 - 8.6e-2 x915 - 8.5e-2 x916 - 8.4e-2 x917 - 8.3e-2 x918 - 8.2e-2 x919 - 8.1e-2 x920 - 8e-2 x921 - 7.9e-2 x922 - 7.8e-2 x923 - 7.7e-2 x924 - 7.6e-2 x925 - 7.5e-2 x926 - 7.4e-2 x927 - 7.3e-2 x928 - 7.2e-2 x929 - 7.1e-2 x930 - 7e-2 x931 - 6.9e-2 x932 - 6.8e-2 x933 - 6.7e-2 x934 - 6.6e-2 x935 - 6.5e-2 x936 - 6.4e-2 x937 - 6.3e-2 x938 - 6.2e-2 x939 - 6.1e-2 x940 - 6e-2 x941 - 5.9e-2 x942 - 5.8e-2 x943 - 5.7e-2 x944 - 5.6e-2 x945 - 5.5e-2 x946 - 5.4e-2 x947 - 5.3e-2 x948 - 5.2e-2 x949 - 5.1e-2 x950 - 5e-2 x951 - 4.9e-2 x952 - 4.8e-2 x953 - 4.7e-2 x954 - 4.6e-2 x955 - 4.5e-2 x956 - 4.4e-2 x957 - 4.3e-2 x958 - 4.2e-2 x959 - 4.1e-2 x960 - 4e-2 x961 - 3.9e-2 x962 - 3.8e-2 x963 - 3.7e-2 x964 - 3.6e-2 x965 - 3.5e-2 x966 - 3.4e-2 x967 - 3.3e-2 x968 - 3.2e-2 x969 - 3.1e-2 x970 - 3e-2 x971 - 2.9e-2 x972 - 2.8e-2 x973 - 2.7e-2 x974 - 2.6e-2 x975 - 2.5e-2 x976 - 2.4e-2 x977 - 2.3e-2 x978 - 2.2e-2 x979 - 2.1e-2 x980 - 2e-2 x981 - 1.9e-2 x982 - 1.8e-2 x983 - 1.7e-2 x984 - 1.6e-2 x985 - 1.5e-2 x986 - 1.4e-2 x987 - 1.3e-2 x988 - 1.2e-2 x989 - 1.1e-2 x990 - 1e-2 x991 - 9e-3 x992 - 8e-3 x993 - 7e-3 x994 - 6e-3 x995 - 5e-3 x996 - 4e-3 x997 - 3e-3 x998 - 2e-3 x999 - 1e-3 x1000 + .5 x1^2 + .4990005 x2^2 + .498002 x3^2 + .4970045 x4^2 + .496008 x5^2 + .4950125 x6^2 + .494018 x7^2 + .4930245 x8^2 + .492032 x9^2 + .4910405 x10^2 + .49005 x11^2 + .4890605 x12^2 + .488072 x13^2 + .4870845 x14^2 + .486098 x15^2 + .4851125 x16^2 + .484128 x17^2 + .4831445 x18^2 + .482162 x19^2 + .4811805 x20^2 + .4802 x21^2 + .4792205 x22^2 + .478242 x23^2 + .4772645 x24^2 + .476288 x25^2 + .4753125 x26^2 + .474338 x27^2 + .4733645 x28^2 + .472392 x29^2 + .4714205 x30^2 + .47045 x31^2 + .4694805 x32^2 + .468512 x33^2 + .4675445 x34^2 + .466578 x35^2 + .4656125 x36^2 + .464648 x37^2 + .4636845 x38^2 + .462722 x39^2 + .4617605 x40^2 + .4608 x41^2 + .4598405 x42^2 + .458882 x43^2 + .4579245 x44^2 + .456968 x45^2 + .4560125 x46^2 + .455058 x47^2 + .4541045 x48^2 + .453152 x49^2 + .4522005 x50^2 + .45125 x51^2 + .4503005 x52^2 + .449352 x53^2 + .4484045 x54^2 + .447458 x55^2 + .4465125 x56^2 + .445568 x57^2 + .4446245 x58^2 + .443682 x59^2 + .4427405 x60^2 + .4418 x61^2 + .4408605 x62^2 + .439922 x63^2 + .4389845 x64^2 + .438048 x65^2 + .4371125 x66^2 + .436178 x67^2 + .4352445 x68^2 + .434312 x69^2 + .4333805 x70^2 + .43245 x71^2 + .4315205 x72^2 + .430592 x73^2 + .4296645 x74^2 + .428738 x75^2 + .4278125 x76^2 + .426888 x77^2 + .4259645 x78^2 + .425042 x79^2 + .4241205 x80^2 + .4232 x81^2 + .4222805 x82^2 + .421362 x83^2 + .4204445 x84^2 + .419528 x85^2 + .4186125 x86^2 + .417698 x87^2 + .4167845 x88^2 + .415872 x89^2 + .4149605 x90^2 + .41405 x91^2 + .4131405 x92^2 + .412232 x93^2 + .4113245 x94^2 + .410418 x95^2 + .4095125 x96^2 + .408608 x97^2 + .4077045 x98^2 + .406802 x99^2 + .4059005 x100^2 + .405 x101^2 + .4041005 x102^2 + .403202 x103^2 + .4023045 x104^2 + .401408 x105^2 + .4005125 x106^2 + .399618 x107^2 + .3987245 x108^2 + .397832 x109^2 + .3969405 x110^2 + .39605 x111^2 + .3951605 x112^2 + .394272 x113^2 + .3933845 x114^2 + .392498 x115^2 + .3916125 x116^2 + .390728 x117^2 + .3898445 x118^2 + .388962 x119^2 + .3880805 x120^2 + .3872 x121^2 + .3863205 x122^2 + .385442 x123^2 + .3845645 x124^2 + .383688 x125^2 + .3828125 x126^2 + .381938 x127^2 + .3810645 x128^2 + .380192 x129^2 + .3793205 x130^2 + .37845 x131^2 + .3775805 x132^2 + .376712 x133^2 + .3758445 x134^2 + .374978 x135^2 + .3741125 x136^2 + .373248 x137^2 + .3723845 x138^2 + .371522 x139^2 + .3706605 x140^2 + .3698 x141^2 + .3689405 x142^2 + .368082 x143^2 + .3672245 x144^2 + .366368 x145^2 + .3655125 x146^2 + .364658 x147^2 + .3638045 x148^2 + .362952 x149^2 + .3621005 x150^2 + .36125 x151^2 + .3604005 x152^2 + .359552 x153^2 + .3587045 x154^2 + .357858 x155^2 + .3570125 x156^2 + .356168 x157^2 + .3553245 x158^2 + .354482 x159^2 + .3536405 x160^2 + .3528 x161^2 + .3519605 x162^2 + .351122 x163^2 + .3502845 x164^2 + .349448 x165^2 + .3486125 x166^2 + .347778 x167^2 + 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2.2445e-3 x934^2 + 2.178e-3 x935^2 + 2.1125e-3 x936^2 + 2.048e-3 x937^2 + 1.9845e-3 x938^2 + 1.922e-3 x939^2 + 1.8605e-3 x940^2 + 1.8e-3 x941^2 + 1.7405e-3 x942^2 + 1.682e-3 x943^2 + 1.6245e-3 x944^2 + 1.568e-3 x945^2 + 1.5125e-3 x946^2 + 1.458e-3 x947^2 + 1.4045e-3 x948^2 + 1.352e-3 x949^2 + 1.3005e-3 x950^2 + 1.25e-3 x951^2 + 1.2005e-3 x952^2 + 1.152e-3 x953^2 + 1.1045e-3 x954^2 + 1.058e-3 x955^2 + 1.0125e-3 x956^2 + 9.68e-4 x957^2 + 9.245e-4 x958^2 + 8.82e-4 x959^2 + 8.405e-4 x960^2 + 8e-4 x961^2 + 7.605e-4 x962^2 + 7.22e-4 x963^2 + 6.845e-4 x964^2 + 6.48e-4 x965^2 + 6.125e-4 x966^2 + 5.78e-4 x967^2 + 5.445e-4 x968^2 + 5.12e-4 x969^2 + 4.805e-4 x970^2 + 4.5e-4 x971^2 + 4.205e-4 x972^2 + 3.92e-4 x973^2 + 3.645e-4 x974^2 + 3.38e-4 x975^2 + 3.125e-4 x976^2 + 2.88e-4 x977^2 + 2.645e-4 x978^2 + 2.42e-4 x979^2 + 2.205e-4 x980^2 + 2e-4 x981^2 + 1.805e-4 x982^2 + 1.62e-4 x983^2 + 1.445e-4 x984^2 + 1.28e-4 x985^2 + 1.125e-4 x986^2 + 9.8e-5 x987^2 + 8.45e-5 x988^2 + 7.2e-5 x989^2 + 6.05e-5 x990^2 + 5e-5 x991^2 + 4.05e-5 x992^2 + 3.2e-5 x993^2 + 2.45e-5 x994^2 + 1.8e-5 x995^2 + 1.25e-5 x996^2 + 8e-6 x997^2 + 4.5e-6 x998^2 + 2e-6 x999^2 + 5e-7 x1000^2 Subject To e1: .5 x1^2 + .5 x2^2 + .5 x3^2 + .5 x4^2 + .5 x5^2 + .5 x6^2 + .5 x7^2 + .5 x8^2 + .5 x9^2 + .5 x10^2 + .5 x11^2 + .5 x12^2 + .5 x13^2 + .5 x14^2 + .5 x15^2 + .5 x16^2 + .5 x17^2 + .5 x18^2 + .5 x19^2 + .5 x20^2 + .5 x21^2 + .5 x22^2 + .5 x23^2 + .5 x24^2 + .5 x25^2 + .5 x26^2 + .5 x27^2 + .5 x28^2 + .5 x29^2 + .5 x30^2 + .5 x31^2 + .5 x32^2 + .5 x33^2 + .5 x34^2 + .5 x35^2 + .5 x36^2 + .5 x37^2 + .5 x38^2 + .5 x39^2 + .5 x40^2 + .5 x41^2 + .5 x42^2 + .5 x43^2 + .5 x44^2 + .5 x45^2 + .5 x46^2 + .5 x47^2 + .5 x48^2 + .5 x49^2 + .5 x50^2 + .5 x51^2 + .5 x52^2 + .5 x53^2 + .5 x54^2 + .5 x55^2 + .5 x56^2 + .5 x57^2 + .5 x58^2 + .5 x59^2 + .5 x60^2 + .5 x61^2 + .5 x62^2 + .5 x63^2 + .5 x64^2 + .5 x65^2 + .5 x66^2 + .5 x67^2 + .5 x68^2 + .5 x69^2 + .5 x70^2 + .5 x71^2 + .5 x72^2 + .5 x73^2 + .5 x74^2 + .5 x75^2 + .5 x76^2 + .5 x77^2 + .5 x78^2 + .5 x79^2 + .5 x80^2 + .5 x81^2 + .5 x82^2 + .5 x83^2 + .5 x84^2 + .5 x85^2 + .5 x86^2 + .5 x87^2 + .5 x88^2 + .5 x89^2 + .5 x90^2 + .5 x91^2 + .5 x92^2 + .5 x93^2 + .5 x94^2 + .5 x95^2 + .5 x96^2 + .5 x97^2 + .5 x98^2 + .5 x99^2 + .5 x100^2 + .5 x101^2 + .5 x102^2 + .5 x103^2 + .5 x104^2 + .5 x105^2 + .5 x106^2 + .5 x107^2 + .5 x108^2 + .5 x109^2 + .5 x110^2 + .5 x111^2 + .5 x112^2 + .5 x113^2 + .5 x114^2 + .5 x115^2 + .5 x116^2 + .5 x117^2 + .5 x118^2 + .5 x119^2 + .5 x120^2 + .5 x121^2 + .5 x122^2 + .5 x123^2 + .5 x124^2 + .5 x125^2 + .5 x126^2 + .5 x127^2 + .5 x128^2 + .5 x129^2 + .5 x130^2 + .5 x131^2 + .5 x132^2 + .5 x133^2 + .5 x134^2 + .5 x135^2 + .5 x136^2 + .5 x137^2 + .5 x138^2 + .5 x139^2 + .5 x140^2 + .5 x141^2 + .5 x142^2 + .5 x143^2 + .5 x144^2 + .5 x145^2 + .5 x146^2 + .5 x147^2 + .5 x148^2 + .5 x149^2 + .5 x150^2 + .5 x151^2 + .5 x152^2 + .5 x153^2 + .5 x154^2 + .5 x155^2 + .5 x156^2 + .5 x157^2 + .5 x158^2 + .5 x159^2 + .5 x160^2 + .5 x161^2 + .5 x162^2 + .5 x163^2 + .5 x164^2 + .5 x165^2 + .5 x166^2 + .5 x167^2 + .5 x168^2 + .5 x169^2 + .5 x170^2 + .5 x171^2 + .5 x172^2 + .5 x173^2 + .5 x174^2 + .5 x175^2 + .5 x176^2 + .5 x177^2 + .5 x178^2 + .5 x179^2 + .5 x180^2 + .5 x181^2 + .5 x182^2 + .5 x183^2 + .5 x184^2 + .5 x185^2 + .5 x186^2 + .5 x187^2 + .5 x188^2 + .5 x189^2 + .5 x190^2 + .5 x191^2 + .5 x192^2 + .5 x193^2 + .5 x194^2 + .5 x195^2 + .5 x196^2 + .5 x197^2 + .5 x198^2 + .5 x199^2 + .5 x200^2 + .5 x201^2 + .5 x202^2 + .5 x203^2 + .5 x204^2 + .5 x205^2 + .5 x206^2 + .5 x207^2 + .5 x208^2 + .5 x209^2 + .5 x210^2 + .5 x211^2 + .5 x212^2 + .5 x213^2 + .5 x214^2 + .5 x215^2 + .5 x216^2 + .5 x217^2 + .5 x218^2 + .5 x219^2 + .5 x220^2 + .5 x221^2 + .5 x222^2 + .5 x223^2 + .5 x224^2 + .5 x225^2 + .5 x226^2 + .5 x227^2 + .5 x228^2 + .5 x229^2 + .5 x230^2 + .5 x231^2 + .5 x232^2 + .5 x233^2 + .5 x234^2 + .5 x235^2 + .5 x236^2 + .5 x237^2 + .5 x238^2 + .5 x239^2 + .5 x240^2 + .5 x241^2 + .5 x242^2 + .5 x243^2 + .5 x244^2 + .5 x245^2 + .5 x246^2 + .5 x247^2 + .5 x248^2 + .5 x249^2 + .5 x250^2 + .5 x251^2 + .5 x252^2 + .5 x253^2 + .5 x254^2 + .5 x255^2 + .5 x256^2 + .5 x257^2 + .5 x258^2 + .5 x259^2 + .5 x260^2 + .5 x261^2 + .5 x262^2 + .5 x263^2 + .5 x264^2 + .5 x265^2 + .5 x266^2 + .5 x267^2 + .5 x268^2 + .5 x269^2 + .5 x270^2 + .5 x271^2 + .5 x272^2 + .5 x273^2 + .5 x274^2 + .5 x275^2 + .5 x276^2 + .5 x277^2 + .5 x278^2 + .5 x279^2 + .5 x280^2 + .5 x281^2 + .5 x282^2 + .5 x283^2 + .5 x284^2 + .5 x285^2 + .5 x286^2 + .5 x287^2 + .5 x288^2 + .5 x289^2 + .5 x290^2 + .5 x291^2 + .5 x292^2 + .5 x293^2 + .5 x294^2 + .5 x295^2 + .5 x296^2 + .5 x297^2 + .5 x298^2 + .5 x299^2 + .5 x300^2 + .5 x301^2 + .5 x302^2 + .5 x303^2 + .5 x304^2 + .5 x305^2 + .5 x306^2 + .5 x307^2 + .5 x308^2 + .5 x309^2 + .5 x310^2 + .5 x311^2 + .5 x312^2 + .5 x313^2 + .5 x314^2 + .5 x315^2 + .5 x316^2 + .5 x317^2 + .5 x318^2 + .5 x319^2 + .5 x320^2 + .5 x321^2 + .5 x322^2 + .5 x323^2 + .5 x324^2 + .5 x325^2 + .5 x326^2 + .5 x327^2 + .5 x328^2 + .5 x329^2 + .5 x330^2 + .5 x331^2 + .5 x332^2 + .5 x333^2 + .5 x334^2 + .5 x335^2 + .5 x336^2 + .5 x337^2 + .5 x338^2 + .5 x339^2 + .5 x340^2 + .5 x341^2 + .5 x342^2 + .5 x343^2 + .5 x344^2 + .5 x345^2 + .5 x346^2 + .5 x347^2 + .5 x348^2 + .5 x349^2 + .5 x350^2 + .5 x351^2 + .5 x352^2 + .5 x353^2 + .5 x354^2 + .5 x355^2 + .5 x356^2 + .5 x357^2 + .5 x358^2 + .5 x359^2 + .5 x360^2 + .5 x361^2 + .5 x362^2 + .5 x363^2 + .5 x364^2 + .5 x365^2 + .5 x366^2 + .5 x367^2 + .5 x368^2 + .5 x369^2 + .5 x370^2 + .5 x371^2 + .5 x372^2 + .5 x373^2 + .5 x374^2 + .5 x375^2 + .5 x376^2 + .5 x377^2 + .5 x378^2 + .5 x379^2 + .5 x380^2 + .5 x381^2 + .5 x382^2 + .5 x383^2 + .5 x384^2 + .5 x385^2 + .5 x386^2 + .5 x387^2 + .5 x388^2 + .5 x389^2 + .5 x390^2 + .5 x391^2 + .5 x392^2 + .5 x393^2 + .5 x394^2 + .5 x395^2 + .5 x396^2 + .5 x397^2 + .5 x398^2 + .5 x399^2 + .5 x400^2 + .5 x401^2 + .5 x402^2 + .5 x403^2 + .5 x404^2 + .5 x405^2 + .5 x406^2 + .5 x407^2 + .5 x408^2 + .5 x409^2 + .5 x410^2 + .5 x411^2 + .5 x412^2 + .5 x413^2 + .5 x414^2 + .5 x415^2 + .5 x416^2 + .5 x417^2 + .5 x418^2 + .5 x419^2 + .5 x420^2 + .5 x421^2 + .5 x422^2 + .5 x423^2 + .5 x424^2 + .5 x425^2 + .5 x426^2 + .5 x427^2 + .5 x428^2 + .5 x429^2 + .5 x430^2 + .5 x431^2 + .5 x432^2 + .5 x433^2 + .5 x434^2 + .5 x435^2 + .5 x436^2 + .5 x437^2 + .5 x438^2 + .5 x439^2 + .5 x440^2 + .5 x441^2 + .5 x442^2 + .5 x443^2 + .5 x444^2 + .5 x445^2 + .5 x446^2 + .5 x447^2 + .5 x448^2 + .5 x449^2 + .5 x450^2 + .5 x451^2 + .5 x452^2 + .5 x453^2 + .5 x454^2 + .5 x455^2 + .5 x456^2 + .5 x457^2 + .5 x458^2 + .5 x459^2 + .5 x460^2 + .5 x461^2 + .5 x462^2 + .5 x463^2 + .5 x464^2 + .5 x465^2 + .5 x466^2 + .5 x467^2 + .5 x468^2 + .5 x469^2 + .5 x470^2 + .5 x471^2 + .5 x472^2 + .5 x473^2 + .5 x474^2 + .5 x475^2 + .5 x476^2 + .5 x477^2 + .5 x478^2 + .5 x479^2 + .5 x480^2 + .5 x481^2 + .5 x482^2 + .5 x483^2 + .5 x484^2 + .5 x485^2 + .5 x486^2 + .5 x487^2 + .5 x488^2 + .5 x489^2 + .5 x490^2 + .5 x491^2 + .5 x492^2 + .5 x493^2 + .5 x494^2 + .5 x495^2 + .5 x496^2 + .5 x497^2 + .5 x498^2 + .5 x499^2 + .5 x500^2 + .5 x501^2 + .5 x502^2 + .5 x503^2 + .5 x504^2 + .5 x505^2 + .5 x506^2 + .5 x507^2 + .5 x508^2 + .5 x509^2 + .5 x510^2 + .5 x511^2 + .5 x512^2 + .5 x513^2 + .5 x514^2 + .5 x515^2 + .5 x516^2 + .5 x517^2 + .5 x518^2 + .5 x519^2 + .5 x520^2 + .5 x521^2 + .5 x522^2 + .5 x523^2 + .5 x524^2 + .5 x525^2 + .5 x526^2 + .5 x527^2 + .5 x528^2 + .5 x529^2 + .5 x530^2 + .5 x531^2 + .5 x532^2 + .5 x533^2 + .5 x534^2 + .5 x535^2 + .5 x536^2 + .5 x537^2 + .5 x538^2 + .5 x539^2 + .5 x540^2 + .5 x541^2 + .5 x542^2 + .5 x543^2 + .5 x544^2 + .5 x545^2 + .5 x546^2 + .5 x547^2 + .5 x548^2 + .5 x549^2 + .5 x550^2 + .5 x551^2 + .5 x552^2 + .5 x553^2 + .5 x554^2 + .5 x555^2 + .5 x556^2 + .5 x557^2 + .5 x558^2 + .5 x559^2 + .5 x560^2 + .5 x561^2 + .5 x562^2 + .5 x563^2 + .5 x564^2 + .5 x565^2 + .5 x566^2 + .5 x567^2 + .5 x568^2 + .5 x569^2 + .5 x570^2 + .5 x571^2 + .5 x572^2 + .5 x573^2 + .5 x574^2 + .5 x575^2 + .5 x576^2 + .5 x577^2 + .5 x578^2 + .5 x579^2 + .5 x580^2 + .5 x581^2 + .5 x582^2 + .5 x583^2 + .5 x584^2 + .5 x585^2 + .5 x586^2 + .5 x587^2 + .5 x588^2 + .5 x589^2 + .5 x590^2 + .5 x591^2 + .5 x592^2 + .5 x593^2 + .5 x594^2 + .5 x595^2 + .5 x596^2 + .5 x597^2 + .5 x598^2 + .5 x599^2 + .5 x600^2 + .5 x601^2 + .5 x602^2 + .5 x603^2 + .5 x604^2 + .5 x605^2 + .5 x606^2 + .5 x607^2 + .5 x608^2 + .5 x609^2 + .5 x610^2 + .5 x611^2 + .5 x612^2 + .5 x613^2 + .5 x614^2 + .5 x615^2 + .5 x616^2 + .5 x617^2 + .5 x618^2 + .5 x619^2 + .5 x620^2 + .5 x621^2 + .5 x622^2 + .5 x623^2 + .5 x624^2 + .5 x625^2 + .5 x626^2 + .5 x627^2 + .5 x628^2 + .5 x629^2 + .5 x630^2 + .5 x631^2 + .5 x632^2 + .5 x633^2 + .5 x634^2 + .5 x635^2 + .5 x636^2 + .5 x637^2 + .5 x638^2 + .5 x639^2 + .5 x640^2 + .5 x641^2 + .5 x642^2 + .5 x643^2 + .5 x644^2 + .5 x645^2 + .5 x646^2 + .5 x647^2 + .5 x648^2 + .5 x649^2 + .5 x650^2 + .5 x651^2 + .5 x652^2 + .5 x653^2 + .5 x654^2 + .5 x655^2 + .5 x656^2 + .5 x657^2 + .5 x658^2 + .5 x659^2 + .5 x660^2 + .5 x661^2 + .5 x662^2 + .5 x663^2 + .5 x664^2 + .5 x665^2 + .5 x666^2 + .5 x667^2 + .5 x668^2 + .5 x669^2 + .5 x670^2 + .5 x671^2 + .5 x672^2 + .5 x673^2 + .5 x674^2 + .5 x675^2 + .5 x676^2 + .5 x677^2 + .5 x678^2 + .5 x679^2 + .5 x680^2 + .5 x681^2 + .5 x682^2 + .5 x683^2 + .5 x684^2 + .5 x685^2 + .5 x686^2 + .5 x687^2 + .5 x688^2 + .5 x689^2 + .5 x690^2 + .5 x691^2 + .5 x692^2 + .5 x693^2 + .5 x694^2 + .5 x695^2 + .5 x696^2 + .5 x697^2 + .5 x698^2 + .5 x699^2 + .5 x700^2 + .5 x701^2 + .5 x702^2 + .5 x703^2 + .5 x704^2 + .5 x705^2 + .5 x706^2 + .5 x707^2 + .5 x708^2 + .5 x709^2 + .5 x710^2 + .5 x711^2 + .5 x712^2 + .5 x713^2 + .5 x714^2 + .5 x715^2 + .5 x716^2 + .5 x717^2 + .5 x718^2 + .5 x719^2 + .5 x720^2 + .5 x721^2 + .5 x722^2 + .5 x723^2 + .5 x724^2 + .5 x725^2 + .5 x726^2 + .5 x727^2 + .5 x728^2 + .5 x729^2 + .5 x730^2 + .5 x731^2 + .5 x732^2 + .5 x733^2 + .5 x734^2 + .5 x735^2 + .5 x736^2 + .5 x737^2 + .5 x738^2 + .5 x739^2 + .5 x740^2 + .5 x741^2 + .5 x742^2 + .5 x743^2 + .5 x744^2 + .5 x745^2 + .5 x746^2 + .5 x747^2 + .5 x748^2 + .5 x749^2 + .5 x750^2 + .5 x751^2 + .5 x752^2 + .5 x753^2 + .5 x754^2 + .5 x755^2 + .5 x756^2 + .5 x757^2 + .5 x758^2 + .5 x759^2 + .5 x760^2 + .5 x761^2 + .5 x762^2 + .5 x763^2 + .5 x764^2 + .5 x765^2 + .5 x766^2 + .5 x767^2 + .5 x768^2 + .5 x769^2 + .5 x770^2 + .5 x771^2 + .5 x772^2 + .5 x773^2 + .5 x774^2 + .5 x775^2 + .5 x776^2 + .5 x777^2 + .5 x778^2 + .5 x779^2 + .5 x780^2 + .5 x781^2 + .5 x782^2 + .5 x783^2 + .5 x784^2 + .5 x785^2 + .5 x786^2 + .5 x787^2 + .5 x788^2 + .5 x789^2 + .5 x790^2 + .5 x791^2 + .5 x792^2 + .5 x793^2 + .5 x794^2 + .5 x795^2 + .5 x796^2 + .5 x797^2 + .5 x798^2 + .5 x799^2 + .5 x800^2 + .5 x801^2 + .5 x802^2 + .5 x803^2 + .5 x804^2 + .5 x805^2 + .5 x806^2 + .5 x807^2 + .5 x808^2 + .5 x809^2 + .5 x810^2 + .5 x811^2 + .5 x812^2 + .5 x813^2 + .5 x814^2 + .5 x815^2 + .5 x816^2 + .5 x817^2 + .5 x818^2 + .5 x819^2 + .5 x820^2 + .5 x821^2 + .5 x822^2 + .5 x823^2 + .5 x824^2 + .5 x825^2 + .5 x826^2 + .5 x827^2 + .5 x828^2 + .5 x829^2 + .5 x830^2 + .5 x831^2 + .5 x832^2 + .5 x833^2 + .5 x834^2 + .5 x835^2 + .5 x836^2 + .5 x837^2 + .5 x838^2 + .5 x839^2 + .5 x840^2 + .5 x841^2 + .5 x842^2 + .5 x843^2 + .5 x844^2 + .5 x845^2 + .5 x846^2 + .5 x847^2 + .5 x848^2 + .5 x849^2 + .5 x850^2 + .5 x851^2 + .5 x852^2 + .5 x853^2 + .5 x854^2 + .5 x855^2 + .5 x856^2 + .5 x857^2 + .5 x858^2 + .5 x859^2 + .5 x860^2 + .5 x861^2 + .5 x862^2 + .5 x863^2 + .5 x864^2 + .5 x865^2 + .5 x866^2 + .5 x867^2 + .5 x868^2 + .5 x869^2 + .5 x870^2 + .5 x871^2 + .5 x872^2 + .5 x873^2 + .5 x874^2 + .5 x875^2 + .5 x876^2 + .5 x877^2 + .5 x878^2 + .5 x879^2 + .5 x880^2 + .5 x881^2 + .5 x882^2 + .5 x883^2 + .5 x884^2 + .5 x885^2 + .5 x886^2 + .5 x887^2 + .5 x888^2 + .5 x889^2 + .5 x890^2 + .5 x891^2 + .5 x892^2 + .5 x893^2 + .5 x894^2 + .5 x895^2 + .5 x896^2 + .5 x897^2 + .5 x898^2 + .5 x899^2 + .5 x900^2 + .5 x901^2 + .5 x902^2 + .5 x903^2 + .5 x904^2 + .5 x905^2 + .5 x906^2 + .5 x907^2 + .5 x908^2 + .5 x909^2 + .5 x910^2 + .5 x911^2 + .5 x912^2 + .5 x913^2 + .5 x914^2 + .5 x915^2 + .5 x916^2 + .5 x917^2 + .5 x918^2 + .5 x919^2 + .5 x920^2 + .5 x921^2 + .5 x922^2 + .5 x923^2 + .5 x924^2 + .5 x925^2 + .5 x926^2 + .5 x927^2 + .5 x928^2 + .5 x929^2 + .5 x930^2 + .5 x931^2 + .5 x932^2 + .5 x933^2 + .5 x934^2 + .5 x935^2 + .5 x936^2 + .5 x937^2 + .5 x938^2 + .5 x939^2 + .5 x940^2 + .5 x941^2 + .5 x942^2 + .5 x943^2 + .5 x944^2 + .5 x945^2 + .5 x946^2 + .5 x947^2 + .5 x948^2 + .5 x949^2 + .5 x950^2 + .5 x951^2 + .5 x952^2 + .5 x953^2 + .5 x954^2 + .5 x955^2 + .5 x956^2 + .5 x957^2 + .5 x958^2 + .5 x959^2 + .5 x960^2 + .5 x961^2 + .5 x962^2 + .5 x963^2 + .5 x964^2 + .5 x965^2 + .5 x966^2 + .5 x967^2 + .5 x968^2 + .5 x969^2 + .5 x970^2 + .5 x971^2 + .5 x972^2 + .5 x973^2 + .5 x974^2 + .5 x975^2 + .5 x976^2 + .5 x977^2 + .5 x978^2 + .5 x979^2 + .5 x980^2 + .5 x981^2 + .5 x982^2 + .5 x983^2 + .5 x984^2 + .5 x985^2 + .5 x986^2 + .5 x987^2 + .5 x988^2 + .5 x989^2 + .5 x990^2 + .5 x991^2 + .5 x992^2 + .5 x993^2 + .5 x994^2 + .5 x995^2 + .5 x996^2 + .5 x997^2 + .5 x998^2 + .5 x999^2 + .5 x1000^2 = .5 Bounds x1 Free x2 Free x3 Free x4 Free x5 Free x6 Free x7 Free x8 Free x9 Free x10 Free x11 Free x12 Free x13 Free x14 Free x15 Free x16 Free x17 Free x18 Free x19 Free x20 Free x21 Free x22 Free x23 Free x24 Free x25 Free x26 Free x27 Free x28 Free x29 Free x30 Free x31 Free x32 Free x33 Free x34 Free x35 Free x36 Free x37 Free x38 Free x39 Free x40 Free x41 Free x42 Free x43 Free x44 Free x45 Free x46 Free x47 Free x48 Free x49 Free x50 Free x51 Free x52 Free x53 Free x54 Free x55 Free x56 Free x57 Free x58 Free x59 Free x60 Free x61 Free x62 Free x63 Free x64 Free x65 Free x66 Free x67 Free x68 Free x69 Free x70 Free x71 Free x72 Free x73 Free x74 Free x75 Free x76 Free x77 Free x78 Free x79 Free x80 Free x81 Free x82 Free x83 Free x84 Free x85 Free x86 Free x87 Free x88 Free x89 Free x90 Free x91 Free x92 Free x93 Free x94 Free x95 Free x96 Free x97 Free x98 Free 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