# #************************** # SET UP THE INITIAL DATA * #************************** # Problem : # ********* # A dual quadratic program from Antonio Frangioni (frangio@DI.UniPi.IT) # This is the dual of PRIMAL4.SIF # SIF input: Irv Lustig and Nick Gould, June 1996. # classification QLR2-MN-75-1 # Solution param n := 75; param ip1 := 1 + (75); var x1 >= 0.0 , <= 1.0; var x2 >= 0.0 , <= 1.0; var x3 >= 0.0 , <= 1.0; var x4 >= 0.0 , <= 1.0; var x5 >= 0.0 , <= 1.0; var x6 >= 0.0 , <= 1.0; var x7 >= 0.0 , <= 1.0; var x8 >= 0.0 , <= 1.0; var x9 >= 0.0 , <= 1.0; var x10 >= 0.0 , <= 1.0; var x11 >= 0.0 , <= 1.0; var x12 >= 0.0 , <= 1.0; var x13 >= 0.0 , <= 1.0; var x14 >= 0.0 , <= 1.0; var x15 >= 0.0 , <= 1.0; var x16 >= 0.0 , <= 1.0; var x17 >= 0.0 , <= 1.0; var x18 >= 0.0 , <= 1.0; var x19 >= 0.0 , <= 1.0; var x20 >= 0.0 , <= 1.0; var x21 >= 0.0 , <= 1.0; var x22 >= 0.0 , <= 1.0; var x23 >= 0.0 , <= 1.0; var x24 >= 0.0 , <= 1.0; var x25 >= 0.0 , <= 1.0; var x26 >= 0.0 , <= 1.0; var x27 >= 0.0 , <= 1.0; var x28 >= 0.0 , <= 1.0; var x29 >= 0.0 , <= 1.0; var x30 >= 0.0 , <= 1.0; var x31 >= 0.0 , <= 1.0; var x32 >= 0.0 , <= 1.0; var x33 >= 0.0 , <= 1.0; var x34 >= 0.0 , <= 1.0; var x35 >= 0.0 , <= 1.0; var x36 >= 0.0 , <= 1.0; var x37 >= 0.0 , <= 1.0; var x38 >= 0.0 , <= 1.0; var x39 >= 0.0 , <= 1.0; var x40 >= 0.0 , <= 1.0; var x41 >= 0.0 , <= 1.0; var x42 >= 0.0 , <= 1.0; var x43 >= 0.0 , <= 1.0; var x44 >= 0.0 , <= 1.0; var x45 >= 0.0 , <= 1.0; var x46 >= 0.0 , <= 1.0; var x47 >= 0.0 , <= 1.0; var x48 >= 0.0 , <= 1.0; var x49 >= 0.0 , <= 1.0; var x50 >= 0.0 , <= 1.0; var x51 >= 0.0 , <= 1.0; var x52 >= 0.0 , <= 1.0; var x53 >= 0.0 , <= 1.0; var x54 >= 0.0 , <= 1.0; var x55 >= 0.0 , <= 1.0; var x56 >= 0.0 , <= 1.0; var x57 >= 0.0 , <= 1.0; var x58 >= 0.0 , <= 1.0; var x59 >= 0.0 , <= 1.0; var x60 >= 0.0 , <= 1.0; var x61 >= 0.0 , <= 1.0; var x62 >= 0.0 , <= 1.0; var x63 >= 0.0 , <= 1.0; var x64 >= 0.0 , <= 1.0; var x65 >= 0.0 , <= 1.0; var x66 >= 0.0 , <= 1.0; var x67 >= 0.0 , <= 1.0; var x68 >= 0.0 , <= 1.0; var x69 >= 0.0 , <= 1.0; var x70 >= 0.0 , <= 1.0; var x71 >= 0.0 , <= 1.0; var x72 >= 0.0 , <= 1.0; var x73 >= 0.0 , <= 1.0; var x74 >= 0.0 , <= 1.0; var x75 >= 0.0 , <= 1.0; minimize obj: 226.0*0.5 * x1 * x1 - 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12.0*x60 * x71 - 20.0*x60 * x72 - 11.0*x60 * x73 - 3.0*x60 * x74 - 36.0*x60 * x75 + 220.0*0.5 * x61 * x61 - 18.0*x61 * x62 + 13.0*x61 * x63 - 4.0*x61 * x64 - 8.0*x61 * x65 + 6.0*x61 * x66 - 28.0*x61 * x67 + 15.0*x61 * x68 - 29.0*x61 * x69 + 15.0*x61 * x70 - 13.0*x61 * x71 - 2.0*x61 * x72 - 20.0*x61 * x73 - 11.0*x61 * x74 - 3.0*x61 * x75 + 222.0*0.5 * x62 * x62 - 6.0*x62 * x63 - 11.0*x62 * x64 - 3.0*x62 * x65 - 30.0*x62 * x66 + 3.0*x62 * x67 + 6.0*x62 * x68 - 11.0*x62 * x69 - 10.0*x62 * x70 - 16.0*x62 * x71 - 16.0*x62 * x72 + 16.0*x62 * x73 + 4.0*x62 * x74 + 12.0*x62 * x75 + 222.0*0.5 * x63 * x63 - 7.0*x63 * x64 - 20.0*x63 * x65 - 5.0*x63 * x66 - 11.0*x63 * x67 + 2.0*x63 * x68 - 38.0*x63 * x69 - 2.0*x63 * x70 + 9.0*x63 * x71 - 5.0*x63 * x72 - 13.0*x63 * x73 + 9.0*x63 * x74 - 5.0*x63 * x75 + 230.0*0.5 * x64 * x64 - 7.0*x64 * x65 + 19.0*x64 * x66 + 4.0*x64 * x67 + x64 * x68 + 39.0*x64 * x69 - 8.0*x64 * x70 - 8.0*x64 * x71 + 12.0*x64 * x72 - 11.0*x64 * x73 - 8.0*x64 * x74 + 14.0*x64 * x75 + 210.0*0.5 * x65 * x65 + 18.0*x65 * x67 - 4.0*x65 * x68 + 10.0*x65 * x69 - 6.0*x65 * x70 - 4.0*x65 * x71 + 20.0*x65 * x72 - 10.0*x65 * x73 - 19.0*x65 * x74 + 19.0*x65 * x75 + 208.0*0.5 * x66 * x66 - 14.0*x66 * x67 + 6.0*x66 * x68 + 21.0*x66 * x69 + 15.0*x66 * x70 + 2.0*x66 * x71 + 3.0*x66 * x72 + 9.0*x66 * x73 + 5.0*x66 * x74 - 12.0*x66 * x75 + 212.0*0.5 * x67 * x67 - 34.0*x67 * x68 + 16.0*x67 * x69 - 27.0*x67 * x70 + 8.0*x67 * x71 - 11.0*x67 * x72 - 22.0*x67 * x73 - 19.0*x67 * x74 + 5.0*x67 * x75 + 210.0*0.5 * x68 * x68 + 2.0*x68 * x69 + 10.0*x68 * x70 + 7.0*x68 * x71 + 20.0*x68 * x72 - 13.0*x68 * x73 + 12.0*x68 * x74 + 6.0*x68 * x75 + 220.0*0.5 * x69 * x69 - 31.0*x69 * x70 - 13.0*x69 * x71 + 2.0*x69 * x72 + 41.0*x69 * x73 - 20.0*x69 * x74 + 8.0*x69 * x75 + 234.0*0.5 * x70 * x70 - 11.0*x70 * x71 - 16.0*x70 * x72 - 10.0*x70 * x73 + 30.0*x70 * x74 - 16.0*x70 * x75 + 222.0*0.5 * x71 * x71 - 5.0*x71 * x72 - 6.0*x71 * x73 + 8.0*x71 * x74 - 14.0*x71 * x75 + 212.0*0.5 * x72 * x72 + 15.0*x72 * x73 - 19.0*x72 * x74 + 72.0*x72 * x75 + 216.0*0.5 * x73 * x73 - 21.0*x73 * x74 + 9.0*x73 * x75 + 202.0*0.5 * x74 * x74 - 16.0*x74 * x75 + 220.0*0.5 * x75 * x75 + 0.8319712885*x1 + 0.7821556737*x2 + 0.908518889*x3 + 0.6793105389*x4 + 0.9658310595*x5 + 0.7599026152*x6 + 0.8289833552*x7 + 0.8071922589*x8 + 0.9124971902*x9 + 0.7156897824*x10 + 0.5496187235*x11 + 0.4416244614*x12 + 0.625595376*x13 + 0.6522613484*x14 + 0.6601885356*x15 + 0.6003936017*x16 + 0.5492949347*x17 + 0.6169163494*x18 + 0.5737799455*x19 + 0.6291793074*x20 + 0.5772455997*x21 + 0.5197049398*x22 + 0.3952746984*x23 + 0.3978900962*x24 + 0.2972799584*x25 + 0.2430443545*x26 + 0.741134637*x28 + 0.741134637*x29 + 0.741134637*x30 + 0.741134637*x31 + 0.741134637*x32 + 0.741134637*x33 + 0.741134637*x34 + 0.741134637*x35 + 0.741134637*x36 + 0.741134637*x37 + 0.741134637*x38 + 0.741134637*x39 + 0.741134637*x40 + 0.741134637*x41 + 0.741134637*x42 + 0.741134637*x43 + 0.741134637*x44 + 0.741134637*x45 + 0.741134637*x46 + 0.741134637*x47 + 0.741134637*x48 + 0.741134637*x49 + 0.741134637*x50 + 0.741134637*x51 + 0.741134637*x52 + 0.741134637*x53 + 0.741134637*x54 + 0.741134637*x55 + 0.8156168486*x56 + 0.9105826764*x57 + 0.9580740343*x58 + 0.8382776584*x59 + 1.0064412818*x60 + 0.9145463921*x61 + 0.8907644242*x62 + 0.935632465*x63 + 1.0469476122*x64 + 0.9938330321*x65 + 1.0440301864*x66 + 0.7781038922*x67 + 0.9503832429*x68 + 0.9333077316*x69 + 0.967093053*x70 + 1.0500250368*x71 + 0.8160575462*x72 + 1.0364734174*x73 + 1.0782957195*x74 + 0.8724013895*x75; subject to c1: x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13 + x14 + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26 + x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42 + x43 + x44 + x45 + x46 + x47 + x48 + x49 + x50 + x51 + x52 + x53 + x54 + x55 + x56 + x57 + x58 + x59 + x60 + x61 + x62 + x63 + x64 + x65 + x66 + x67 + x68 + x69 + x70 + x71 + x72 + x73 + x74 + x75 = 1; solve; display x1; display x2; display x3; display x4; display x5; display x6; display x7; display x8; display x9; display x10; display x11; display x12; display x13; display x14; display x15; display x16; display x17; display x18; display x19; display x20; display x21; display x22; display x23; display x24; display x25; display x26; display x27; display x28; display x29; display x30; display x31; display x32; display x33; display x34; display x35; display x36; display x37; display x38; display x39; display x40; display x41; display x42; display x43; display x44; display x45; display x46; display x47; display x48; display x49; display x50; display x51; display x52; display x53; display x54; display x55; display x56; display x57; display x58; display x59; display x60; display x61; display x62; display x63; display x64; display x65; display x66; display x67; display x68; display x69; display x70; display x71; display x72; display x73; display x74; display x75; display obj;