maximize 
objective: + 811x1 + 886x2 + 544x3 + 1029x4 + 987x5 + 393x6 + 737x7 + 857x8 + 895x9 + 785x10 + 850x11 + 897x12 + 757x13 + 682x14 + 948x15 + 979x16 + 834x17 + 862x18 + 581x19 + 835x20 + 669x21 + 569x22 + 798x23 + 710x24 + 832x25 + 777x26 + 786x27 + 580x28 + 904x29 + 946x30 + 598x31 + 900x32 + 1072x33 + 726x34 + 589x35 + 984x36 + 1106x37 + 744x38 + 706x39 + 752x40 + 828x41 + 900x42 + 914x43 + 594x44 + 932x45 + 666x46 + 577x47 + 920x48 + 549x49 + 973x50 + 547x51 + 536x52 + 651x53 + 609x54 + 610x55 + 617x56 + 603x57 + 1059x58 + 907x59 + 450x60 + 923x61 + 938x62 + 618x63 + 557x64 + 992x65 + 520x66 + 722x67 + 890x68 + 622x69 + 739x70 + 683x71 + 642x72 + 943x73 + 770x74 + 513x75 + 602x76 + 477x77 + 918x78 + 945x79 + 650x80 + 568x81 + 584x82 + 940x83 + 891x84 + 603x85 + 632x86 + 565x87 + 709x88 + 698x89 + 567x90 + 752x91 + 658x92 + 888x93 + 866x94 + 981x95 + 870x96 + 525x97 + 995x98 + 682x99 + 952x100 
subject to 
constr1: + 83x1 + 174x2 + 590x3 + 473x4 + 722x5 + 767x6 + 10x7 + 499x8 + 555x9 + 204x10 + 284x11 + 504x12 + 946x13 + 800x14 + 931x15 + 165x16 + 830x17 + 271x18 + 102x19 + 629x20 + 136x21 + 532x22 + 165x23 + 600x24 + 955x25 + 483x26 + 761x27 + 606x28 + 288x29 + 77x30 + 452x31 + 273x32 + 751x33 + 566x34 + 911x35 + 126x36 + 861x37 + 760x38 + 696x39 + 579x40 + 184x41 + 542x42 + 784x43 + 397x44 + 211x45 + 136x46 + 222x47 + 768x48 + 786x49 + 673x50 + 446x51 + 949x52 + 701x53 + 122x54 + 478x55 + 546x56 + 532x57 + 876x58 + 254x59 + 333x60 + 407x61 + 968x62 + 797x63 + 31x64 + 994x65 + 638x66 + 996x67 + 808x68 + 498x69 + 128x70 + 515x71 + 470x72 + 867x73 + 221x74 + 845x75 + 237x76 + 61x77 + 732x78 + 237x79 + 13x80 + 698x81 + 702x82 + 308x83 + 887x84 + 816x85 + 337x86 + 994x87 + 845x88 + 919x89 + 526x90 + 296x91 + 900x92 + 449x93 + 515x94 + 159x95 + 458x96 + 148x97 + 502x98 + 803x99 + 903x100 <=39514 
constr2: + 369x1 + 30x2 + 572x3 + 598x4 + 35x5 + 401x6 + 394x7 + 56x8 + 382x9 + 308x10 + 799x11 + 644x12 + 669x13 + 982x14 + 626x15 + 161x16 + 97x17 + 268x18 + 598x19 + 63x20 + 234x21 + 634x22 + 335x23 + 289x24 + 800x25 + 678x26 + 992x27 + 59x28 + 86x29 + 829x30 + 172x31 + 771x32 + 667x33 + 642x34 + 235x35 + 745x36 + 192x37 + 482x38 + 937x39 + 862x40 + 520x41 + 601x42 + 997x43 + 998x44 + 643x45 + 842x46 + 142x47 + 4x48 + 313x49 + 944x50 + 909x51 + 898x52 + 367x53 + 496x54 + 698x55 + 997x56 + 763x57 + 202x58 + 249x59 + 3x60 + 54x61 + 68x62 + 825x63 + 748x64 + 271x65 + 229x66 + 135x67 + 521x68 + 914x69 + 962x70 + 623x71 + 407x72 + 970x73 + 130x74 + 182x75 + 233x76 + 100x77 + 9x78 + 553x79 + 857x80 + 455x81 + 791x82 + 37x83 + 404x84 + 812x85 + 343x86 + 899x87 + 33x88 + 330x89 + 919x90 + 913x91 + 976x92 + 70x93 + 994x94 + 592x95 + 146x96 + 285x97 + 302x98 + 634x99 + 660x100 <=37249 
constr3: + 849x1 + 574x2 + 23x3 + 883x4 + 757x5 + 200x6 + 436x7 + 638x8 + 128x9 + 844x10 + 362x11 + 902x12 + 971x13 + 713x14 + 127x15 + 463x16 + 139x17 + 575x18 + 791x19 + 307x20 + 949x21 + 372x22 + 465x23 + 331x24 + 757x25 + 319x26 + 490x27 + 252x28 + 733x29 + 158x30 + 889x31 + 723x32 + 950x33 + 384x34 + 47x35 + 993x36 + 751x37 + 434x38 + 869x39 + 93x40 + 352x41 + 946x42 + 794x43 + 300x44 + 693x45 + 397x46 + 51x47 + 617x48 + 452x49 + 529x50 + 345x51 + 12x52 + 293x53 + 193x54 + 881x55 + 476x56 + 508x57 + 460x58 + 878x59 + 332x60 + 327x61 + 412x62 + 23x63 + 630x64 + 776x65 + 696x66 + 24x67 + 651x68 + 354x69 + 704x70 + 857x71 + 838x72 + 235x73 + 244x74 + 113x75 + 419x76 + 750x77 + 619x78 + 712x79 + 163x80 + 229x81 + 404x82 + 943x83 + 316x84 + 416x85 + 567x86 + 400x87 + 483x88 + 89x89 + 696x90 + 997x91 + 625x92 + 4x93 + 465x94 + 186x95 + 429x96 + 423x97 + 908x98 + 626x99 + 975x100 <=38159 
constr4: + 116x1 + 203x2 + 274x3 + 937x4 + 81x5 + 137x6 + 302x7 + 603x8 + 116x9 + 404x10 + 47x11 + 597x12 + 719x13 + 104x14 + 850x15 + 827x16 + 368x17 + 925x18 + 528x19 + 479x20 + 806x21 + 244x22 + 503x23 + 346x24 + 850x25 + 732x26 + 563x27 + 225x28 + 59x29 + 895x30 + 172x31 + 367x32 + 47x33 + 139x34 + 486x35 + 350x36 + 962x37 + 425x38 + 923x39 + 708x40 + 761x41 + 559x42 + 184x43 + 703x44 + 243x45 + 934x46 + 210x47 + 665x48 + 116x49 + 252x50 + 30x51 + 418x52 + 569x53 + 255x54 + 396x55 + 689x56 + 947x57 + 182x58 + 297x59 + 784x60 + 692x61 + 927x62 + 631x63 + 665x64 + 843x65 + 39x66 + 893x67 + 92x68 + 558x69 + 309x70 + 181x71 + 30x72 + 108x73 + 213x74 + 50x75 + 393x76 + 496x77 + 366x78 + 278x79 + 158x80 + 853x81 + 851x82 + 173x83 + 915x84 + 60x85 + 978x86 + 91x87 + 588x88 + 294x89 + 566x90 + 566x91 + 163x92 + 402x93 + 908x94 + 850x95 + 919x96 + 654x97 + 447x98 + 393x99 + 309x100 <=34886 
constr5: + 622x1 + 924x2 + 167x3 + 841x4 + 501x5 + 277x6 + 70x7 + 171x8 + 174x9 + 271x10 + 495x11 + 610x12 + 689x13 + 274x14 + 483x15 + 410x16 + 566x17 + 900x18 + 349x19 + 188x20 + 347x21 + 188x22 + 576x23 + 545x24 + 574x25 + 678x26 + 791x27 + 455x28 + 321x29 + 460x30 + 376x31 + 504x32 + 209x33 + 39x34 + 383x35 + 925x36 + 972x37 + 912x38 + 700x39 + 901x40 + 349x41 + 457x42 + 109x43 + 69x44 + 194x45 + 626x46 + 985x47 + 934x48 + 448x49 + 373x50 + 113x51 + 610x52 + 483x53 + 905x54 + 495x55 + 476x56 + 895x57 + 246x58 + 60x59 + 274x60 + 141x61 + 421x62 + 267x63 + 4x64 + 215x65 + 125x66 + 142x67 + 738x68 + 546x69 + 133x70 + 892x71 + 39x72 + 630x73 + 133x74 + 87x75 + 559x76 + 623x77 + 795x78 + 967x79 + 881x80 + 600x81 + 686x82 + 441x83 + 180x84 + 68x85 + 52x86 + 525x87 + 91x88 + 661x89 + 556x90 + 913x91 + 889x92 + 97x93 + 531x94 + 217x95 + 267x96 + 304x97 + 519x98 + 476x99 + 783x100 <=34600 
constr6: + 630x1 + 437x2 + 557x3 + 168x4 + 464x5 + 442x6 + 438x7 + 543x8 + 920x9 + 988x10 + 980x11 + 769x12 + 760x13 + 294x14 + 731x15 + 275x16 + 624x17 + 822x18 + 128x19 + 118x20 + 472x21 + 647x22 + 952x23 + 18x24 + 93x25 + 237x26 + 179x27 + 571x28 + 52x29 + 796x30 + 224x31 + 470x32 + 624x33 + 638x34 + 944x35 + 930x36 + 602x37 + 393x38 + 890x39 + 231x40 + 21x41 + 429x42 + 841x43 + 408x44 + 271x45 + 822x46 + 799x47 + 407x48 + 126x49 + 654x50 + 32x51 + 412x52 + 1x53 + 799x54 + 423x55 + 126x56 + 793x57 + 771x58 + 65x59 + 325x60 + 268x61 + 860x62 + 411x63 + 486x64 + 616x65 + 339x66 + 260x67 + 92x68 + 871x69 + 697x70 + 746x71 + 109x72 + 246x73 + 359x74 + 862x75 + 268x76 + 477x77 + 757x78 + 879x79 + 136x80 + 774x81 + 308x82 + 927x83 + 655x84 + 222x85 + 925x86 + 991x87 + 653x88 + 246x89 + 918x90 + 587x91 + 530x92 + 366x93 + 88x94 + 941x95 + 726x96 + 614x97 + 922x98 + 978x99 + 781x100 <=39350 
constr7: + 932x1 + 2x2 + 191x3 + 803x4 + 908x5 + 105x6 + 850x7 + 878x8 + 330x9 + 828x10 + 777x11 + 694x12 + 921x13 + 25x14 + 67x15 + 885x16 + 721x17 + 568x18 + 663x19 + 247x20 + 955x21 + 245x22 + 184x23 + 776x24 + 604x25 + 255x26 + 61x27 + 527x28 + 82x29 + 555x30 + 66x31 + 719x32 + 986x33 + 53x34 + 361x35 + 983x36 + 469x37 + 243x38 + 646x39 + 662x40 + 623x41 + 858x42 + 949x43 + 593x44 + 373x45 + 669x46 + 668x47 + 272x48 + 849x49 + 513x50 + 96x51 + 532x52 + 647x53 + 641x54 + 561x55 + 16x56 + 773x57 + 770x58 + 668x59 + 274x60 + 709x61 + 726x62 + 60x63 + 448x64 + 610x65 + 66x66 + 432x67 + 763x68 + 619x69 + 902x70 + 586x71 + 869x72 + 682x73 + 143x74 + 501x75 + 249x76 + 932x77 + 583x78 + 748x79 + 270x80 + 335x81 + 871x82 + 826x83 + 875x84 + 972x85 + 241x86 + 685x87 + 562x88 + 737x89 + 281x90 + 842x91 + 789x92 + 334x93 + 405x94 + 919x95 + 178x96 + 379x97 + 656x98 + 763x99 + 997x100 <=41788 
constr8: + 502x1 + 762x2 + 269x3 + 337x4 + 909x5 + 844x6 + 183x7 + 894x8 + 13x9 + 663x10 + 817x11 + 769x12 + 441x13 + 459x14 + 501x15 + 622x16 + 266x17 + 966x18 + 558x19 + 318x20 + 201x21 + 762x22 + 470x23 + 337x24 + 789x25 + 413x26 + 404x27 + 171x28 + 245x29 + 71x30 + 595x31 + 750x32 + 412x33 + 286x34 + 793x35 + 35x36 + 543x37 + 825x38 + 324x39 + 431x40 + 792x41 + 358x42 + 348x43 + 711x44 + 736x45 + 796x46 + 952x47 + 324x48 + 855x49 + 823x50 + 370x51 + 780x52 + 940x53 + 663x54 + 857x55 + 231x56 + 290x57 + 824x58 + 307x59 + 52x60 + 464x61 + 264x62 + 815x63 + 830x64 + 406x65 + 954x66 + 515x67 + 755x68 + 129x69 + 581x70 + 667x71 + 974x72 + 133x73 + 363x74 + 148x75 + 633x76 + 165x77 + 498x78 + 588x79 + 277x80 + 221x81 + 301x82 + 649x83 + 804x84 + 33x85 + 64x86 + 187x87 + 453x88 + 813x89 + 493x90 + 379x91 + 37x92 + 596x93 + 354x94 + 888x95 + 21x96 + 157x97 + 567x98 + 62x99 + 185x100 <=37037 
constr9: + 49x1 + 312x2 + 373x3 + 914x4 + 285x5 + 231x6 + 986x7 + 431x8 + 207x9 + 886x10 + 1000x11 + 752x12 + 530x13 + 975x14 + 117x15 + 606x16 + 634x17 + 980x18 + 60x19 + 500x20 + 487x21 + 597x22 + 637x23 + 702x24 + 274x25 + 325x26 + 462x27 + 83x28 + 864x29 + 940x30 + 320x31 + 300x32 + 993x33 + 315x34 + 178x35 + 850x36 + 791x37 + 993x38 + 126x39 + 129x40 + 646x41 + 679x42 + 357x43 + 999x44 + 176x45 + 437x46 + 524x47 + 994x48 + 967x49 + 827x50 + 883x51 + 308x52 + 895x53 + 96x54 + 665x55 + 751x56 + 736x57 + 402x58 + 65x59 + 984x60 + 343x61 + 210x62 + 138x63 + 742x64 + 719x65 + 125x66 + 234x67 + 824x68 + 42x69 + 1x70 + 400x71 + 575x72 + 875x73 + 766x74 + 779x75 + 704x76 + 7x77 + 832x78 + 654x79 + 136x80 + 94x81 + 190x82 + 17x83 + 93x84 + 77x85 + 196x86 + 470x87 + 944x88 + 760x89 + 137x90 + 336x91 + 668x92 + 170x93 + 760x94 + 700x95 + 206x96 + 61x97 + 910x98 + 804x99 + 922x100 <=38405 
constr10: + 193x1 + 392x2 + 63x3 + 209x4 + 820x5 + 202x6 + 962x7 + 604x8 + 21x9 + 319x10 + 21x11 + 792x12 + 848x13 + 820x14 + 933x15 + 975x16 + 993x17 + 196x18 + 629x19 + 169x20 + 425x21 + 553x22 + 796x23 + 359x24 + 842x25 + 526x26 + 613x27 + 516x28 + 922x29 + 471x30 + 569x31 + 369x32 + 545x33 + 86x34 + 940x35 + 135x36 + 251x37 + 444x38 + 481x39 + 108x40 + 676x41 + 611x42 + 167x43 + 81x44 + 206x45 + 870x46 + 217x47 + 353x48 + 595x49 + 173x50 + 678x51 + 906x52 + 188x53 + 74x54 + 381x55 + 185x56 + 541x57 + 765x58 + 822x59 + 319x60 + 511x61 + 80x62 + 784x63 + 438x64 + 395x65 + 17x66 + 119x67 + 209x68 + 7x69 + 883x70 + 865x71 + 598x72 + 418x73 + 971x74 + 597x75 + 717x76 + 911x77 + 195x78 + 99x79 + 605x80 + 988x81 + 457x82 + 720x83 + 763x84 + 271x85 + 525x86 + 370x87 + 554x88 + 141x89 + 981x90 + 230x91 + 161x92 + 874x93 + 408x94 + 427x95 + 375x96 + 960x97 + 980x98 + 647x99 + 487x100 <=37244 
constr11: + 232x1 + 543x2 + 450x3 + 971x4 + 81x5 + 680x6 + 382x7 + 770x8 + 779x9 + 748x10 + 227x11 + 546x12 + 730x13 + 696x14 + 53x15 + 404x16 + 508x17 + 433x18 + 460x19 + 81x20 + 737x21 + 996x22 + 7x23 + 640x24 + 901x25 + 991x26 + 511x27 + 101x28 + 375x29 + 476x30 + 605x31 + 313x32 + 910x33 + 153x34 + 219x35 + 331x36 + 720x37 + 569x38 + 555x39 + 906x40 + 235x41 + 720x42 + 58x43 + 271x44 + 839x45 + 89x46 + 538x47 + 388x48 + 498x49 + 191x50 + 459x51 + 592x52 + 345x53 + 653x54 + 351x55 + 486x56 + 247x57 + 838x58 + 239x59 + 48x60 + 768x61 + 99x62 + 104x63 + 390x64 + 330x65 + 73x66 + 342x67 + 758x68 + 848x69 + 255x70 + 948x71 + 147x72 + 469x73 + 399x74 + 1000x75 + 550x76 + 250x77 + 852x78 + 234x79 + 333x80 + 985x81 + 894x82 + 54x83 + 654x84 + 206x85 + 573x86 + 422x87 + 17x88 + 176x89 + 588x90 + 921x91 + 392x92 + 419x93 + 225x94 + 986x95 + 320x96 + 618x97 + 598x98 + 792x99 + 540x100 <=36303 
constr12: + 663x1 + 904x2 + 353x3 + 878x4 + 283x5 + 546x6 + 805x7 + 661x8 + 892x9 + 986x10 + 531x11 + 750x12 + 481x13 + 270x14 + 582x15 + 578x16 + 478x17 + 471x18 + 182x19 + 914x20 + 24x21 + 818x22 + 55x23 + 749x24 + 600x25 + 245x26 + 585x27 + 989x28 + 440x29 + 656x30 + 732x31 + 709x32 + 287x33 + 703x34 + 129x35 + 308x36 + 780x37 + 785x38 + 873x39 + 94x40 + 843x41 + 42x42 + 14x43 + 974x44 + 570x45 + 984x46 + 491x47 + 885x48 + 11x49 + 536x50 + 85x51 + 449x52 + 664x53 + 503x54 + 174x55 + 479x56 + 504x57 + 871x58 + 270x59 + 183x60 + 835x61 + 647x62 + 200x63 + 41x64 + 295x65 + 154x66 + 829x67 + 771x68 + 672x69 + 443x70 + 483x71 + 311x72 + 641x73 + 125x74 + 67x75 + 702x76 + 677x77 + 100x78 + 645x79 + 304x80 + 644x81 + 282x82 + 84x83 + 255x84 + 574x85 + 555x86 + 537x87 + 686x88 + 241x89 + 64x90 + 440x91 + 508x92 + 843x93 + 69x94 + 581x95 + 288x96 + 255x97 + 9x98 + 804x99 + 964x100 <=37445 
constr13: + 903x1 + 480x2 + 795x3 + 290x4 + 277x5 + 354x6 + 801x7 + 991x8 + 297x9 + 617x10 + 251x11 + 73x12 + 833x13 + 5x14 + 930x15 + 554x16 + 772x17 + 983x18 + 742x19 + 146x20 + 917x21 + 104x22 + 688x23 + 701x24 + 881x25 + 887x26 + 442x27 + 874x28 + 351x29 + 341x30 + 672x31 + 871x32 + 97x33 + 560x34 + 619x35 + 677x36 + 431x37 + 169x38 + 593x39 + 719x40 + 230x41 + 167x42 + 702x43 + 873x44 + 562x45 + 552x46 + 568x47 + 163x48 + 649x49 + 571x50 + 269x51 + 682x52 + 556x53 + 821x54 + 174x55 + 91x56 + 899x57 + 935x58 + 928x59 + 503x60 + 295x61 + 773x62 + 7x63 + 908x64 + 111x65 + 213x66 + 105x67 + 401x68 + 471x69 + 491x70 + 850x71 + 663x72 + 348x73 + 87x74 + 197x75 + 665x76 + 968x77 + 19x78 + 742x79 + 794x80 + 597x81 + 893x82 + 248x83 + 792x84 + 636x85 + 298x86 + 785x87 + 828x88 + 459x89 + 749x90 + 135x91 + 86x92 + 416x93 + 177x94 + 185x95 + 315x96 + 408x97 + 668x98 + 590x99 + 62x100 <=39014 
constr14: + 221x1 + 328x2 + 710x3 + 656x4 + 363x5 + 576x6 + 889x7 + 79x8 + 642x9 + 823x10 + 459x11 + 215x12 + 617x13 + 304x14 + 917x15 + 715x16 + 326x17 + 932x18 + 907x19 + 729x20 + 656x21 + 495x22 + 503x23 + 281x24 + 801x25 + 746x26 + 848x27 + 388x28 + 292x29 + 791x30 + 521x31 + 540x32 + 962x33 + 470x34 + 571x35 + 888x36 + 756x37 + 538x38 + 274x39 + 492x40 + 96x41 + 931x42 + 457x43 + 553x44 + 547x45 + 481x46 + 165x47 + 666x48 + 715x49 + 141x50 + 489x51 + 130x52 + 658x53 + 48x54 + 583x55 + 182x56 + 458x57 + 688x58 + 362x59 + 87x60 + 835x61 + 149x62 + 459x63 + 387x64 + 893x65 + 728x66 + 866x67 + 448x68 + 918x69 + 278x70 + 264x71 + 792x72 + 834x73 + 559x74 + 502x75 + 298x76 + 997x77 + 810x78 + 759x79 + 607x80 + 650x81 + 429x82 + 142x83 + 799x84 + 473x85 + 142x86 + 576x87 + 167x88 + 315x89 + 761x90 + 359x91 + 963x92 + 485x93 + 943x94 + 612x95 + 203x96 + 438x97 + 995x98 + 754x99 + 480x100 <=41045 
constr15: + 472x1 + 36x2 + 114x3 + 771x4 + 280x5 + 13x6 + 90x7 + 297x8 + 950x9 + 75x10 + 349x11 + 704x12 + 363x13 + 11x14 + 344x15 + 792x16 + 182x17 + 985x18 + 98x19 + 282x20 + 524x21 + 280x22 + 737x23 + 626x24 + 227x25 + 309x26 + 836x27 + 724x28 + 173x29 + 650x30 + 660x31 + 720x32 + 653x33 + 915x34 + 729x35 + 500x36 + 778x37 + 842x38 + 286x39 + 990x40 + 158x41 + 763x42 + 997x43 + 102x44 + 542x45 + 959x46 + 1000x47 + 61x48 + 400x49 + 649x50 + 876x51 + 320x52 + 462x53 + 571x54 + 422x55 + 347x56 + 116x57 + 13x58 + 98x59 + 502x60 + 898x61 + 386x62 + 40x63 + 567x64 + 994x65 + 955x66 + 661x67 + 29x68 + 433x69 + 920x70 + 346x71 + 176x72 + 750x73 + 459x74 + 575x75 + 154x76 + 868x77 + 594x78 + 814x79 + 382x80 + 350x81 + 143x82 + 751x83 + 818x84 + 119x85 + 514x86 + 303x87 + 685x88 + 280x89 + 762x90 + 247x91 + 993x92 + 638x93 + 685x94 + 77x95 + 711x96 + 408x97 + 669x98 + 573x99 + 381x100 <=37375 
constr16: + 732x1 + 134x2 + 558x3 + 713x4 + 852x5 + 217x6 + 908x7 + 258x8 + 171x9 + 787x10 + 985x11 + 891x12 + 795x13 + 875x14 + 211x15 + 286x16 + 17x17 + 773x18 + 299x19 + 866x20 + 687x21 + 193x22 + 547x23 + 932x24 + 799x25 + 579x26 + 220x27 + 199x28 + 40x29 + 128x30 + 778x31 + 252x32 + 387x33 + 157x34 + 241x35 + 887x36 + 738x37 + 728x38 + 932x39 + 951x40 + 205x41 + 731x42 + 442x43 + 83x44 + 868x45 + 188x46 + 623x47 + 445x48 + 827x49 + 797x50 + 827x51 + 400x52 + 609x53 + 44x54 + 605x55 + 265x56 + 15x57 + 115x58 + 181x59 + 975x60 + 177x61 + 645x62 + 468x63 + 153x64 + 30x65 + 749x66 + 676x67 + 508x68 + 447x69 + 614x70 + 695x71 + 49x72 + 249x73 + 865x74 + 449x75 + 48x76 + 706x77 + 826x78 + 4x79 + 991x80 + 910x81 + 354x82 + 103x83 + 465x84 + 391x85 + 59x86 + 678x87 + 374x88 + 141x89 + 125x90 + 168x91 + 38x92 + 643x93 + 931x94 + 178x95 + 502x96 + 285x97 + 380x98 + 943x99 + 814x100 <=36584 
constr17: + 627x1 + 131x2 + 892x3 + 576x4 + 199x5 + 414x6 + 925x7 + 233x8 + 54x9 + 702x10 + 482x11 + 364x12 + 80x13 + 691x14 + 71x15 + 291x16 + 679x17 + 309x18 + 902x19 + 693x20 + 186x21 + 762x22 + 188x23 + 750x24 + 334x25 + 98x26 + 166x27 + 225x28 + 697x29 + 380x30 + 617x31 + 566x32 + 694x33 + 239x34 + 636x35 + 68x36 + 944x37 + 921x38 + 127x39 + 909x40 + 495x41 + 895x42 + 832x43 + 212x44 + 379x45 + 912x46 + 402x47 + 239x48 + 731x49 + 338x50 + 60x51 + 324x52 + 612x53 + 961x54 + 442x55 + 597x56 + 219x57 + 427x58 + 725x59 + 228x60 + 729x61 + 325x62 + 771x63 + 421x64 + 209x65 + 531x66 + 615x67 + 733x68 + 522x69 + 714x70 + 807x71 + 478x72 + 381x73 + 886x74 + 712x75 + 927x76 + 998x77 + 370x78 + 801x79 + 261x80 + 570x81 + 323x82 + 49x83 + 117x84 + 109x85 + 675x86 + 697x87 + 893x88 + 104x89 + 598x90 + 106x91 + 621x92 + 69x93 + 110x94 + 741x95 + 161x96 + 730x97 + 767x98 + 933x99 + 523x100 <=37454 
constr18: + 735x1 + 906x2 + 444x3 + 466x4 + 440x5 + 90x6 + 655x7 + 877x8 + 585x9 + 200x10 + 771x11 + 901x12 + 364x13 + 607x14 + 413x15 + 126x16 + 515x17 + 407x18 + 451x19 + 308x20 + 567x21 + 762x22 + 131x23 + 493x24 + 861x25 + 648x26 + 127x27 + 859x28 + 427x29 + 410x30 + 805x31 + 902x32 + 766x33 + 624x34 + 783x35 + 922x36 + 936x37 + 556x38 + 80x39 + 638x40 + 12x41 + 859x42 + 10x43 + 64x44 + 282x45 + 471x46 + 807x47 + 688x48 + 129x49 + 213x50 + 926x51 + 107x52 + 327x53 + 399x54 + 809x55 + 445x56 + 169x57 + 401x58 + 24x59 + 483x60 + 539x61 + 788x62 + 863x63 + 5x64 + 23x65 + 549x66 + 832x67 + 95x68 + 438x69 + 35x70 + 281x71 + 761x72 + 303x73 + 50x74 + 12x75 + 12x76 + 330x77 + 594x78 + 304x79 + 811x80 + 236x81 + 398x82 + 682x83 + 683x84 + 872x85 + 462x86 + 259x87 + 515x88 + 746x89 + 620x90 + 792x91 + 825x92 + 610x93 + 398x94 + 85x95 + 250x96 + 370x97 + 448x98 + 399x99 + 751x100 <=36157 
constr19: + 889x1 + 143x2 + 435x3 + 312x4 + 475x5 + 334x6 + 769x7 + 601x8 + 358x9 + 288x10 + 88x11 + 248x12 + 741x13 + 354x14 + 473x15 + 18x16 + 763x17 + 70x18 + 947x19 + 720x20 + 334x21 + 567x22 + 57x23 + 573x24 + 25x25 + 671x26 + 861x27 + 723x28 + 824x29 + 802x30 + 715x31 + 555x32 + 1x33 + 969x34 + 134x35 + 793x36 + 695x37 + 982x38 + 3x39 + 49x40 + 285x41 + 106x42 + 223x43 + 725x44 + 309x45 + 488x46 + 313x47 + 153x48 + 166x49 + 975x50 + 55x51 + 588x52 + 831x53 + 362x54 + 705x55 + 703x56 + 934x57 + 976x58 + 928x59 + 794x60 + 391x61 + 178x62 + 349x63 + 763x64 + 94x65 + 232x66 + 313x67 + 222x68 + 587x69 + 354x70 + 1000x71 + 395x72 + 567x73 + 928x74 + 652x75 + 947x76 + 290x77 + 992x78 + 786x79 + 560x80 + 19x81 + 866x82 + 807x83 + 87x84 + 588x85 + 69x86 + 585x87 + 854x88 + 403x89 + 776x90 + 973x91 + 269x92 + 769x93 + 928x94 + 60x95 + 223x96 + 24x97 + 821x98 + 789x99 + 517x100 <=38254 
constr20: + 999x1 + 827x2 + 8x3 + 575x4 + 269x5 + 105x6 + 968x7 + 362x8 + 190x9 + 611x10 + 134x11 + 999x12 + 865x13 + 63x14 + 380x15 + 929x16 + 645x17 + 145x18 + 881x19 + 724x20 + 727x21 + 8x22 + 726x23 + 702x24 + 805x25 + 653x26 + 178x27 + 143x28 + 488x29 + 255x30 + 561x31 + 184x32 + 699x33 + 560x34 + 541x35 + 581x36 + 989x37 + 389x38 + 642x39 + 625x40 + 737x41 + 872x42 + 699x43 + 358x44 + 320x45 + 357x46 + 294x47 + 802x48 + 267x49 + 990x50 + 736x51 + 136x52 + 810x53 + 239x54 + 632x55 + 619x56 + 339x57 + 809x58 + 756x59 + 91x60 + 20x61 + 295x62 + 207x63 + 93x64 + 912x65 + 802x66 + 909x67 + 532x68 + 169x69 + 701x70 + 259x71 + 602x72 + 881x73 + 87x74 + 786x75 + 117x76 + 536x77 + 404x78 + 949x79 + 601x80 + 637x81 + 859x82 + 23x83 + 505x84 + 397x85 + 741x86 + 718x87 + 757x88 + 900x89 + 99x90 + 349x91 + 227x92 + 926x93 + 796x94 + 717x95 + 933x96 + 780x97 + 48x98 + 617x99 + 678x100 <=40175 
constr21: + 88x1 + 592x2 + 819x3 + 668x4 + 959x5 + 353x6 + 194x7 + 116x8 + 274x9 + 29x10 + 928x11 + 736x12 + 394x13 + 256x14 + 949x15 + 841x16 + 998x17 + 651x18 + 654x19 + 829x20 + 703x21 + 11x22 + 539x23 + 70x24 + 117x25 + 550x26 + 427x27 + 833x28 + 673x29 + 811x30 + 968x31 + 785x32 + 794x33 + 86x34 + 434x35 + 175x36 + 68x37 + 86x38 + 292x39 + 786x40 + 596x41 + 759x42 + 392x43 + 822x44 + 868x45 + 6x46 + 916x47 + 510x48 + 271x49 + 40x50 + 993x51 + 825x52 + 883x53 + 586x54 + 407x55 + 198x56 + 578x57 + 518x58 + 627x59 + 359x60 + 646x61 + 690x62 + 763x63 + 823x64 + 711x65 + 304x66 + 863x67 + 682x68 + 919x69 + 949x70 + 872x71 + 921x72 + 640x73 + 755x74 + 149x75 + 682x76 + 75x77 + 716x78 + 354x79 + 10x80 + 103x81 + 149x82 + 935x83 + 642x84 + 338x85 + 415x86 + 529x87 + 618x88 + 595x89 + 596x90 + 411x91 + 360x92 + 444x93 + 301x94 + 66x95 + 278x96 + 32x97 + 838x98 + 443x99 + 727x100 <=39776 
constr22: + 520x1 + 694x2 + 293x3 + 672x4 + 845x5 + 576x6 + 655x7 + 886x8 + 485x9 + 11x10 + 727x11 + 891x12 + 294x13 + 385x14 + 791x15 + 456x16 + 347x17 + 106x18 + 512x19 + 625x20 + 298x21 + 774x22 + 60x23 + 892x24 + 497x25 + 45x26 + 205x27 + 535x28 + 556x29 + 911x30 + 998x31 + 820x32 + 727x33 + 786x34 + 181x35 + 782x36 + 491x37 + 486x38 + 477x39 + 744x40 + 795x41 + 66x42 + 693x43 + 66x44 + 876x45 + 325x46 + 290x47 + 651x48 + 647x49 + 820x50 + 229x51 + 645x52 + 349x53 + 55x54 + 733x55 + 755x56 + 231x57 + 642x58 + 235x59 + 339x60 + 155x61 + 915x62 + 391x63 + 987x64 + 925x65 + 80x66 + 350x67 + 821x68 + 931x69 + 614x70 + 832x71 + 778x72 + 86x73 + 610x74 + 474x75 + 344x76 + 26x77 + 176x78 + 504x79 + 51x80 + 964x81 + 733x82 + 512x83 + 692x84 + 22x85 + 996x86 + 167x87 + 421x88 + 453x89 + 290x90 + 245x91 + 488x92 + 5x93 + 179x94 + 903x95 + 154x96 + 112x97 + 609x98 + 952x99 + 19x100 <=37833 
constr23: + 587x1 + 560x2 + 815x3 + 946x4 + 429x5 + 386x6 + 791x7 + 587x8 + 918x9 + 83x10 + 152x11 + 528x12 + 644x13 + 108x14 + 993x15 + 144x16 + 893x17 + 168x18 + 50x19 + 409x20 + 963x21 + 48x22 + 586x23 + 911x24 + 354x25 + 430x26 + 694x27 + 66x28 + 50x29 + 796x30 + 100x31 + 129x32 + 189x33 + 555x34 + 403x35 + 25x36 + 816x37 + 690x38 + 859x39 + 252x40 + 642x41 + 357x42 + 836x43 + 393x44 + 790x45 + 689x46 + 567x47 + 967x48 + 840x49 + 1000x50 + 182x51 + 913x52 + 713x53 + 217x54 + 108x55 + 896x56 + 754x57 + 29x58 + 572x59 + 604x60 + 650x61 + 545x62 + 170x63 + 104x64 + 536x65 + 231x66 + 452x67 + 928x68 + 464x69 + 603x70 + 159x71 + 459x72 + 517x73 + 478x74 + 569x75 + 400x76 + 194x77 + 309x78 + 858x79 + 722x80 + 353x81 + 94x82 + 706x83 + 636x84 + 647x85 + 423x86 + 153x87 + 91x88 + 366x89 + 807x90 + 456x91 + 462x92 + 817x93 + 313x94 + 802x95 + 646x96 + 268x97 + 925x98 + 234x99 + 613x100 <=37752 
constr24: + 739x1 + 525x2 + 667x3 + 616x4 + 471x5 + 327x6 + 178x7 + 348x8 + 568x9 + 583x10 + 988x11 + 634x12 + 454x13 + 986x14 + 719x15 + 722x16 + 862x17 + 770x18 + 97x19 + 200x20 + 653x21 + 461x22 + 914x23 + 241x24 + 605x25 + 340x26 + 667x27 + 124x28 + 330x29 + 604x30 + 828x31 + 945x32 + 771x33 + 334x34 + 623x35 + 259x36 + 505x37 + 951x38 + 205x39 + 476x40 + 313x41 + 607x42 + 643x43 + 677x44 + 9x45 + 74x46 + 892x47 + 826x48 + 677x49 + 449x50 + 582x51 + 823x52 + 383x53 + 158x54 + 396x55 + 53x56 + 528x57 + 649x58 + 398x59 + 498x60 + 968x61 + 636x62 + 267x63 + 836x64 + 303x65 + 1x66 + 298x67 + 516x68 + 689x69 + 567x70 + 3x71 + 234x72 + 820x73 + 103x74 + 472x75 + 492x76 + 953x77 + 1x78 + 314x79 + 814x80 + 100x81 + 204x82 + 438x83 + 152x84 + 164x85 + 394x86 + 460x87 + 986x88 + 552x89 + 352x90 + 659x91 + 320x92 + 40x93 + 862x94 + 694x95 + 638x96 + 839x97 + 507x98 + 693x99 + 642x100 <=38181 
constr25: + 169x1 + 790x2 + 875x3 + 580x4 + 633x5 + 500x6 + 387x7 + 847x8 + 759x9 + 500x10 + 417x11 + 292x12 + 595x13 + 260x14 + 601x15 + 202x16 + 676x17 + 674x18 + 83x19 + 336x20 + 335x21 + 274x22 + 377x23 + 502x24 + 473x25 + 986x26 + 367x27 + 911x28 + 803x29 + 622x30 + 71x31 + 951x32 + 624x33 + 173x34 + 934x35 + 684x36 + 520x37 + 856x38 + 563x39 + 30x40 + 505x41 + 14x42 + 817x43 + 77x44 + 546x45 + 697x46 + 433x47 + 119x48 + 904x49 + 829x50 + 585x51 + 143x52 + 988x53 + 94x54 + 978x55 + 780x56 + 195x57 + 647x58 + 956x59 + 495x60 + 307x61 + 434x62 + 961x63 + 418x64 + 110x65 + 435x66 + 244x67 + 688x68 + 169x69 + 170x70 + 441x71 + 993x72 + 345x73 + 380x74 + 473x75 + 194x76 + 26x77 + 841x78 + 860x79 + 174x80 + 903x81 + 932x82 + 469x83 + 655x84 + 544x85 + 740x86 + 915x87 + 786x88 + 46x89 + 885x90 + 13x91 + 902x92 + 152x93 + 46x94 + 387x95 + 538x96 + 452x97 + 928x98 + 213x99 + 713x100 <=38937 
constr26: + 492x1 + 299x2 + 956x3 + 511x4 + 734x5 + 840x6 + 994x7 + 945x8 + 865x9 + 574x10 + 539x11 + 158x12 + 569x13 + 686x14 + 584x15 + 399x16 + 489x17 + 693x18 + 607x19 + 976x20 + 635x21 + 909x22 + 436x23 + 923x24 + 129x25 + 114x26 + 405x27 + 9x28 + 848x29 + 173x30 + 128x31 + 624x32 + 554x33 + 882x34 + 310x35 + 490x36 + 432x37 + 570x38 + 636x39 + 75x40 + 513x41 + 792x42 + 389x43 + 65x44 + 334x45 + 428x46 + 657x47 + 41x48 + 537x49 + 217x50 + 36x51 + 166x52 + 408x53 + 94x54 + 535x55 + 24x56 + 182x57 + 543x58 + 798x59 + 277x60 + 500x61 + 161x62 + 694x63 + 491x64 + 410x65 + 808x66 + 965x67 + 657x68 + 807x69 + 913x70 + 998x71 + 304x72 + 177x73 + 478x74 + 827x75 + 405x76 + 6x77 + 965x78 + 66x79 + 60x80 + 551x81 + 127x82 + 379x83 + 763x84 + 351x85 + 753x86 + 270x87 + 180x88 + 711x89 + 324x90 + 383x91 + 456x92 + 983x93 + 213x94 + 959x95 + 363x96 + 36x97 + 284x98 + 113x99 + 100x100 <=36164 
constr27: + 532x1 + 613x2 + 329x3 + 96x4 + 450x5 + 97x6 + 301x7 + 588x8 + 393x9 + 969x10 + 833x11 + 607x12 + 387x13 + 23x14 + 379x15 + 537x16 + 823x17 + 829x18 + 179x19 + 574x20 + 804x21 + 466x22 + 472x23 + 248x24 + 945x25 + 120x26 + 618x27 + 32x28 + 864x29 + 303x30 + 748x31 + 266x32 + 581x33 + 815x34 + 293x35 + 891x36 + 682x37 + 200x38 + 755x39 + 612x40 + 680x41 + 817x42 + 326x43 + 812x44 + 285x45 + 58x46 + 509x47 + 846x48 + 953x49 + 666x50 + 748x51 + 136x52 + 774x53 + 296x54 + 872x55 + 950x56 + 802x57 + 75x58 + 248x59 + 730x60 + 14x61 + 408x62 + 356x63 + 197x64 + 772x65 + 598x66 + 898x67 + 569x68 + 611x69 + 123x70 + 628x71 + 70x72 + 354x73 + 516x74 + 99x75 + 313x76 + 478x77 + 863x78 + 737x79 + 412x80 + 475x81 + 81x82 + 274x83 + 768x84 + 84x85 + 623x86 + 192x87 + 451x88 + 579x89 + 437x90 + 841x91 + 737x92 + 295x93 + 159x94 + 385x95 + 291x96 + 992x97 + 211x98 + 799x99 + 522x100 <=37537 
constr28: + 964x1 + 683x2 + 393x3 + 682x4 + 207x5 + 11x6 + 510x7 + 960x8 + 652x9 + 695x10 + 831x11 + 81x12 + 431x13 + 986x14 + 772x15 + 815x16 + 190x17 + 342x18 + 1000x19 + 533x20 + 138x21 + 198x22 + 964x23 + 469x24 + 969x25 + 669x26 + 621x27 + 542x28 + 433x29 + 69x30 + 765x31 + 886x32 + 389x33 + 319x34 + 249x35 + 225x36 + 871x37 + 413x38 + 640x39 + 575x40 + 881x41 + 289x42 + 518x43 + 991x44 + 163x45 + 764x46 + 67x47 + 902x48 + 700x49 + 365x50 + 896x51 + 269x52 + 881x53 + 591x54 + 370x55 + 621x56 + 758x57 + 833x58 + 574x59 + 300x60 + 360x61 + 221x62 + 979x63 + 469x64 + 990x65 + 720x66 + 198x67 + 369x68 + 283x69 + 467x70 + 376x71 + 191x72 + 996x73 + 934x74 + 559x75 + 172x76 + 625x77 + 199x78 + 631x79 + 859x80 + 446x81 + 157x82 + 975x83 + 627x84 + 279x85 + 408x86 + 387x87 + 635x88 + 70x89 + 100x90 + 717x91 + 510x92 + 643x93 + 882x94 + 738x95 + 591x96 + 559x97 + 589x98 + 430x99 + 379x100 <=40946 
constr29: + 217x1 + 852x2 + 559x3 + 352x4 + 749x5 + 469x6 + 978x7 + 17x8 + 305x9 + 708x10 + 120x11 + 959x12 + 949x13 + 733x14 + 366x15 + 399x16 + 644x17 + 680x18 + 295x19 + 622x20 + 231x21 + 933x22 + 89x23 + 708x24 + 924x25 + 740x26 + 986x27 + 547x28 + 345x29 + 718x30 + 473x31 + 343x32 + 523x33 + 417x34 + 837x35 + 810x36 + 813x37 + 518x38 + 294x39 + 742x40 + 529x41 + 642x42 + 997x43 + 754x44 + 183x45 + 590x46 + 156x47 + 273x48 + 593x49 + 607x50 + 949x51 + 205x52 + 794x53 + 581x54 + 459x55 + 327x56 + 682x57 + 812x58 + 779x59 + 611x60 + 283x61 + 148x62 + 49x63 + 476x64 + 584x65 + 177x66 + 41x67 + 525x68 + 850x69 + 722x70 + 292x71 + 924x72 + 698x73 + 521x74 + 679x75 + 4x76 + 278x77 + 847x78 + 2x79 + 993x80 + 44x81 + 486x82 + 622x83 + 986x84 + 1000x85 + 147x86 + 627x87 + 853x88 + 469x89 + 353x90 + 820x91 + 261x92 + 997x93 + 471x94 + 676x95 + 588x96 + 624x97 + 548x98 + 885x99 + 737x100 <=41831 
constr30: + 446x1 + 808x2 + 252x3 + 497x4 + 749x5 + 802x6 + 157x7 + 677x8 + 353x9 + 337x10 + 288x11 + 662x12 + 295x13 + 852x14 + 465x15 + 771x16 + 776x17 + 680x18 + 121x19 + 903x20 + 678x21 + 484x22 + 694x23 + 723x24 + 567x25 + 598x26 + 370x27 + 614x28 + 708x29 + 115x30 + 958x31 + 590x32 + 640x33 + 753x34 + 717x35 + 990x36 + 761x37 + 37x38 + 841x39 + 717x40 + 217x41 + 979x42 + 894x43 + 514x44 + 177x45 + 337x46 + 975x47 + 114x48 + 274x49 + 83x50 + 500x51 + 917x52 + 235x53 + 260x54 + 865x55 + 195x56 + 529x57 + 921x58 + 413x59 + 778x60 + 202x61 + 629x62 + 199x63 + 44x64 + 392x65 + 84x66 + 264x67 + 291x68 + 46x69 + 17x70 + 17x71 + 580x72 + 364x73 + 710x74 + 963x75 + 836x76 + 58x77 + 814x78 + 832x79 + 541x80 + 566x81 + 508x82 + 821x83 + 230x84 + 910x85 + 906x86 + 444x87 + 854x88 + 572x89 + 921x90 + 43x91 + 735x92 + 780x93 + 475x94 + 726x95 + 427x96 + 119x97 + 114x98 + 429x99 + 111x100 <=39148 
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end