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Created April 12, 2019 03:19
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Gurobi 8.1.0 produces an incorrect result for this MIQP example. It produces an objective and lower bound of 1 with default settings. If presolve is disabled, it produces the correct objective of 0.
min
x306:
-20 x301
-40 x302
-60 x303
-80 x304
-100 x305
+ [
+2 x301 ^ 2
+2 x302 ^ 2
+2 x303 ^ 2
+2 x304 ^ 2
+2 x305 ^ 2
] / 2
+5500 ONE_VAR_CONSTANT
s.t.
c_e_x307_:
-2 x1
-2 x101
-2 x151
-2 x201
+1 x251
-2 x51
= 0
c_e_x308_:
-2 x102
-2 x152
-2 x2
-2 x202
+1 x252
-2 x52
= 0
c_e_x309_:
-2 x103
-2 x153
-2 x203
+1 x253
-2 x3
-2 x53
= 0
c_e_x310_:
-2 x104
-2 x154
-2 x204
+1 x254
-2 x4
-2 x54
= 0
c_e_x311_:
-2 x105
-2 x155
-2 x205
+1 x255
-2 x5
-2 x55
= 0
c_e_x312_:
-2 x106
-2 x156
-2 x206
+1 x256
-2 x56
-2 x6
= 0
c_e_x313_:
-2 x107
-2 x157
-2 x207
+1 x257
-2 x57
-2 x7
= 0
c_e_x314_:
-2 x108
-2 x158
-2 x208
+1 x258
-2 x58
-2 x8
= 0
c_e_x315_:
-2 x109
-2 x159
-2 x209
+1 x259
-2 x59
-2 x9
= 0
c_e_x316_:
-2 x10
-2 x110
-2 x160
-2 x210
+1 x260
-2 x60
= 0
c_e_x317_:
-2 x11
-2 x111
-2 x161
-2 x211
+1 x261
-2 x61
= 0
c_e_x318_:
-2 x112
-2 x12
-2 x162
-2 x212
+1 x262
-2 x62
= 0
c_e_x319_:
-2 x113
-2 x13
-2 x163
-2 x213
+1 x263
-2 x63
= 0
c_e_x320_:
-2 x114
-2 x14
-2 x164
-2 x214
+1 x264
-2 x64
= 0
c_e_x321_:
-2 x115
-2 x15
-2 x165
-2 x215
+1 x265
-2 x65
= 0
c_e_x322_:
-2 x116
-2 x16
-2 x166
-2 x216
+1 x266
-2 x66
= 0
c_e_x323_:
-2 x117
-2 x167
-2 x17
-2 x217
+1 x267
-2 x67
= 0
c_e_x324_:
-2 x118
-2 x168
-2 x18
-2 x218
+1 x268
-2 x68
= 0
c_e_x325_:
-2 x119
-2 x169
-2 x19
-2 x219
+1 x269
-2 x69
= 0
c_e_x326_:
-2 x120
-2 x170
-2 x20
-2 x220
+1 x270
-2 x70
= 0
c_e_x327_:
-2 x121
-2 x171
-2 x21
-2 x221
+1 x271
-2 x71
= 0
c_e_x328_:
-2 x122
-2 x172
-2 x22
-2 x222
+1 x272
-2 x72
= 0
c_e_x329_:
-2 x123
-2 x173
-2 x223
-2 x23
+1 x273
-2 x73
= 0
c_e_x330_:
-2 x124
-2 x174
-2 x224
-2 x24
+1 x274
-2 x74
= 0
c_e_x331_:
-2 x125
-2 x175
-2 x225
-2 x25
+1 x275
-2 x75
= 0
c_e_x332_:
-2 x126
-2 x176
-2 x226
-2 x26
+1 x276
-2 x76
= 0
c_e_x333_:
-2 x127
-2 x177
-2 x227
-2 x27
+1 x277
-2 x77
= 0
c_e_x334_:
-2 x128
-2 x178
-2 x228
+1 x278
-2 x28
-2 x78
= 0
c_e_x335_:
-2 x129
-2 x179
-2 x229
+1 x279
-2 x29
-2 x79
= 0
c_e_x336_:
-2 x130
-2 x180
-2 x230
+1 x280
-2 x30
-2 x80
= 0
c_e_x337_:
-2 x131
-2 x181
-2 x231
+1 x281
-2 x31
-2 x81
= 0
c_e_x338_:
-2 x132
-2 x182
-2 x232
+1 x282
-2 x32
-2 x82
= 0
c_e_x339_:
-2 x133
-2 x183
-2 x233
+1 x283
-2 x33
-2 x83
= 0
c_e_x340_:
-2 x134
-2 x184
-2 x234
+1 x284
-2 x34
-2 x84
= 0
c_e_x341_:
-2 x135
-2 x185
-2 x235
+1 x285
-2 x35
-2 x85
= 0
c_e_x342_:
-2 x136
-2 x186
-2 x236
+1 x286
-2 x36
-2 x86
= 0
c_e_x343_:
-2 x137
-2 x187
-2 x237
+1 x287
-2 x37
-2 x87
= 0
c_e_x344_:
-2 x138
-2 x188
-2 x238
+1 x288
-2 x38
-2 x88
= 0
c_e_x345_:
-2 x139
-2 x189
-2 x239
+1 x289
-2 x39
-2 x89
= 0
c_e_x346_:
-2 x140
-2 x190
-2 x240
+1 x290
-2 x40
-2 x90
= 0
c_e_x347_:
-2 x141
-2 x191
-2 x241
+1 x291
-2 x41
-2 x91
= 0
c_e_x348_:
-2 x142
-2 x192
-2 x242
+1 x292
-2 x42
-2 x92
= 0
c_e_x349_:
-2 x143
-2 x193
-2 x243
+1 x293
-2 x43
-2 x93
= 0
c_e_x350_:
-2 x144
-2 x194
-2 x244
+1 x294
-2 x44
-2 x94
= 0
c_e_x351_:
-2 x145
-2 x195
-2 x245
+1 x295
-2 x45
-2 x95
= 0
c_e_x352_:
-2 x146
-2 x196
-2 x246
+1 x296
-2 x46
-2 x96
= 0
c_e_x353_:
-2 x147
-2 x197
-2 x247
+1 x297
-2 x47
-2 x97
= 0
c_e_x354_:
-2 x148
-2 x198
-2 x248
+1 x298
-2 x48
-2 x98
= 0
c_e_x355_:
-2 x149
-2 x199
-2 x249
+1 x299
-2 x49
-2 x99
= 0
c_e_x356_:
-2 x100
-2 x150
-2 x200
-2 x250
+1 x300
-2 x50
= 0
c_e_x357_:
+1 x1
+1 x10
+1 x2
+1 x3
+1 x4
+1 x5
+1 x6
+1 x7
+1 x8
+1 x9
= 1
c_e_x358_:
+1 x51
+1 x52
+1 x53
+1 x54
+1 x55
+1 x56
+1 x57
+1 x58
+1 x59
+1 x60
+1 x61
+1 x62
+1 x63
+1 x64
+1 x65
+1 x66
+1 x67
+1 x68
+1 x69
+1 x70
= 1
c_e_x359_:
+1 x101
+1 x102
+1 x103
+1 x104
+1 x105
+1 x106
+1 x107
+1 x108
+1 x109
+1 x110
+1 x111
+1 x112
+1 x113
+1 x114
+1 x115
+1 x116
+1 x117
+1 x118
+1 x119
+1 x120
+1 x121
+1 x122
+1 x123
+1 x124
+1 x125
+1 x126
+1 x127
+1 x128
+1 x129
+1 x130
= 1
c_e_x360_:
+1 x151
+1 x152
+1 x153
+1 x154
+1 x155
+1 x156
+1 x157
+1 x158
+1 x159
+1 x160
+1 x161
+1 x162
+1 x163
+1 x164
+1 x165
+1 x166
+1 x167
+1 x168
+1 x169
+1 x170
+1 x171
+1 x172
+1 x173
+1 x174
+1 x175
+1 x176
+1 x177
+1 x178
+1 x179
+1 x180
+1 x181
+1 x182
+1 x183
+1 x184
+1 x185
+1 x186
+1 x187
+1 x188
+1 x189
+1 x190
= 1
c_e_x361_:
+1 x201
+1 x202
+1 x203
+1 x204
+1 x205
+1 x206
+1 x207
+1 x208
+1 x209
+1 x210
+1 x211
+1 x212
+1 x213
+1 x214
+1 x215
+1 x216
+1 x217
+1 x218
+1 x219
+1 x220
+1 x221
+1 x222
+1 x223
+1 x224
+1 x225
+1 x226
+1 x227
+1 x228
+1 x229
+1 x230
+1 x231
+1 x232
+1 x233
+1 x234
+1 x235
+1 x236
+1 x237
+1 x238
+1 x239
+1 x240
+1 x241
+1 x242
+1 x243
+1 x244
+1 x245
+1 x246
+1 x247
+1 x248
+1 x249
+1 x250
= 1
c_u_x362_:
+1 x1
+1 x101
+1 x151
+1 x201
+1 x51
<= 1
c_u_x363_:
+1 x102
+1 x152
+1 x2
+1 x202
+1 x52
<= 1
c_u_x364_:
+1 x103
+1 x153
+1 x203
+1 x3
+1 x53
<= 1
c_u_x365_:
+1 x104
+1 x154
+1 x204
+1 x4
+1 x54
<= 1
c_u_x366_:
+1 x105
+1 x155
+1 x205
+1 x5
+1 x55
<= 1
c_u_x367_:
+1 x106
+1 x156
+1 x206
+1 x56
+1 x6
<= 1
c_u_x368_:
+1 x107
+1 x157
+1 x207
+1 x57
+1 x7
<= 1
c_u_x369_:
+1 x108
+1 x158
+1 x208
+1 x58
+1 x8
<= 1
c_u_x370_:
+1 x109
+1 x159
+1 x209
+1 x59
+1 x9
<= 1
c_u_x371_:
+1 x10
+1 x110
+1 x160
+1 x210
+1 x60
<= 1
c_u_x372_:
+1 x11
+1 x111
+1 x161
+1 x211
+1 x61
<= 1
c_u_x373_:
+1 x112
+1 x12
+1 x162
+1 x212
+1 x62
<= 1
c_u_x374_:
+1 x113
+1 x13
+1 x163
+1 x213
+1 x63
<= 1
c_u_x375_:
+1 x114
+1 x14
+1 x164
+1 x214
+1 x64
<= 1
c_u_x376_:
+1 x115
+1 x15
+1 x165
+1 x215
+1 x65
<= 1
c_u_x377_:
+1 x116
+1 x16
+1 x166
+1 x216
+1 x66
<= 1
c_u_x378_:
+1 x117
+1 x167
+1 x17
+1 x217
+1 x67
<= 1
c_u_x379_:
+1 x118
+1 x168
+1 x18
+1 x218
+1 x68
<= 1
c_u_x380_:
+1 x119
+1 x169
+1 x19
+1 x219
+1 x69
<= 1
c_u_x381_:
+1 x120
+1 x170
+1 x20
+1 x220
+1 x70
<= 1
c_u_x382_:
+1 x121
+1 x171
+1 x21
+1 x221
+1 x71
<= 1
c_u_x383_:
+1 x122
+1 x172
+1 x22
+1 x222
+1 x72
<= 1
c_u_x384_:
+1 x123
+1 x173
+1 x223
+1 x23
+1 x73
<= 1
c_u_x385_:
+1 x124
+1 x174
+1 x224
+1 x24
+1 x74
<= 1
c_u_x386_:
+1 x125
+1 x175
+1 x225
+1 x25
+1 x75
<= 1
c_u_x387_:
+1 x126
+1 x176
+1 x226
+1 x26
+1 x76
<= 1
c_u_x388_:
+1 x127
+1 x177
+1 x227
+1 x27
+1 x77
<= 1
c_u_x389_:
+1 x128
+1 x178
+1 x228
+1 x28
+1 x78
<= 1
c_u_x390_:
+1 x129
+1 x179
+1 x229
+1 x29
+1 x79
<= 1
c_u_x391_:
+1 x130
+1 x180
+1 x230
+1 x30
+1 x80
<= 1
c_u_x392_:
+1 x131
+1 x181
+1 x231
+1 x31
+1 x81
<= 1
c_u_x393_:
+1 x132
+1 x182
+1 x232
+1 x32
+1 x82
<= 1
c_u_x394_:
+1 x133
+1 x183
+1 x233
+1 x33
+1 x83
<= 1
c_u_x395_:
+1 x134
+1 x184
+1 x234
+1 x34
+1 x84
<= 1
c_u_x396_:
+1 x135
+1 x185
+1 x235
+1 x35
+1 x85
<= 1
c_u_x397_:
+1 x136
+1 x186
+1 x236
+1 x36
+1 x86
<= 1
c_u_x398_:
+1 x137
+1 x187
+1 x237
+1 x37
+1 x87
<= 1
c_u_x399_:
+1 x138
+1 x188
+1 x238
+1 x38
+1 x88
<= 1
c_u_x400_:
+1 x139
+1 x189
+1 x239
+1 x39
+1 x89
<= 1
c_u_x401_:
+1 x140
+1 x190
+1 x240
+1 x40
+1 x90
<= 1
c_u_x402_:
+1 x141
+1 x191
+1 x241
+1 x41
+1 x91
<= 1
c_u_x403_:
+1 x142
+1 x192
+1 x242
+1 x42
+1 x92
<= 1
c_u_x404_:
+1 x143
+1 x193
+1 x243
+1 x43
+1 x93
<= 1
c_u_x405_:
+1 x144
+1 x194
+1 x244
+1 x44
+1 x94
<= 1
c_u_x406_:
+1 x145
+1 x195
+1 x245
+1 x45
+1 x95
<= 1
c_u_x407_:
+1 x146
+1 x196
+1 x246
+1 x46
+1 x96
<= 1
c_u_x408_:
+1 x147
+1 x197
+1 x247
+1 x47
+1 x97
<= 1
c_u_x409_:
+1 x148
+1 x198
+1 x248
+1 x48
+1 x98
<= 1
c_u_x410_:
+1 x149
+1 x199
+1 x249
+1 x49
+1 x99
<= 1
c_u_x411_:
+1 x100
+1 x150
+1 x200
+1 x250
+1 x50
<= 1
c_e_x412_:
+1 x1
+10 x10
+11 x11
+12 x12
+13 x13
+14 x14
+15 x15
+16 x16
+17 x17
+18 x18
+19 x19
+2 x2
+20 x20
+21 x21
+22 x22
+23 x23
+24 x24
+25 x25
+26 x26
+27 x27
+28 x28
+29 x29
+3 x3
+30 x30
-1 x301
+31 x31
+32 x32
+33 x33
+34 x34
+35 x35
+36 x36
+37 x37
+38 x38
+39 x39
+4 x4
+40 x40
+41 x41
+42 x42
+43 x43
+44 x44
+45 x45
+46 x46
+47 x47
+48 x48
+49 x49
+5 x5
+50 x50
+6 x6
+7 x7
+8 x8
+9 x9
= 0
c_e_x413_:
+50 x100
-1 x302
+1 x51
+2 x52
+3 x53
+4 x54
+5 x55
+6 x56
+7 x57
+8 x58
+9 x59
+10 x60
+11 x61
+12 x62
+13 x63
+14 x64
+15 x65
+16 x66
+17 x67
+18 x68
+19 x69
+20 x70
+21 x71
+22 x72
+23 x73
+24 x74
+25 x75
+26 x76
+27 x77
+28 x78
+29 x79
+30 x80
+31 x81
+32 x82
+33 x83
+34 x84
+35 x85
+36 x86
+37 x87
+38 x88
+39 x89
+40 x90
+41 x91
+42 x92
+43 x93
+44 x94
+45 x95
+46 x96
+47 x97
+48 x98
+49 x99
= 0
c_e_x414_:
+1 x101
+2 x102
+3 x103
+4 x104
+5 x105
+6 x106
+7 x107
+8 x108
+9 x109
+10 x110
+11 x111
+12 x112
+13 x113
+14 x114
+15 x115
+16 x116
+17 x117
+18 x118
+19 x119
+20 x120
+21 x121
+22 x122
+23 x123
+24 x124
+25 x125
+26 x126
+27 x127
+28 x128
+29 x129
+30 x130
+31 x131
+32 x132
+33 x133
+34 x134
+35 x135
+36 x136
+37 x137
+38 x138
+39 x139
+40 x140
+41 x141
+42 x142
+43 x143
+44 x144
+45 x145
+46 x146
+47 x147
+48 x148
+49 x149
+50 x150
-1 x303
= 0
c_e_x415_:
+1 x151
+2 x152
+3 x153
+4 x154
+5 x155
+6 x156
+7 x157
+8 x158
+9 x159
+10 x160
+11 x161
+12 x162
+13 x163
+14 x164
+15 x165
+16 x166
+17 x167
+18 x168
+19 x169
+20 x170
+21 x171
+22 x172
+23 x173
+24 x174
+25 x175
+26 x176
+27 x177
+28 x178
+29 x179
+30 x180
+31 x181
+32 x182
+33 x183
+34 x184
+35 x185
+36 x186
+37 x187
+38 x188
+39 x189
+40 x190
+41 x191
+42 x192
+43 x193
+44 x194
+45 x195
+46 x196
+47 x197
+48 x198
+49 x199
+50 x200
-1 x304
= 0
c_e_x416_:
+1 x201
+2 x202
+3 x203
+4 x204
+5 x205
+6 x206
+7 x207
+8 x208
+9 x209
+10 x210
+11 x211
+12 x212
+13 x213
+14 x214
+15 x215
+16 x216
+17 x217
+18 x218
+19 x219
+20 x220
+21 x221
+22 x222
+23 x223
+24 x224
+25 x225
+26 x226
+27 x227
+28 x228
+29 x229
+30 x230
+31 x231
+32 x232
+33 x233
+34 x234
+35 x235
+36 x236
+37 x237
+38 x238
+39 x239
+40 x240
+41 x241
+42 x242
+43 x243
+44 x244
+45 x245
+46 x246
+47 x247
+48 x248
+49 x249
+50 x250
-1 x305
= 0
c_e_ONE_VAR_CONSTANT:
ONE_VAR_CONSTANT = 1.0
bounds
0 <= x1 <= 1
0 <= x2 <= 1
0 <= x3 <= 1
0 <= x4 <= 1
0 <= x5 <= 1
0 <= x6 <= 1
0 <= x7 <= 1
0 <= x8 <= 1
0 <= x9 <= 1
0 <= x10 <= 1
0 <= x11 <= 1
0 <= x12 <= 1
0 <= x13 <= 1
0 <= x14 <= 1
0 <= x15 <= 1
0 <= x16 <= 1
0 <= x17 <= 1
0 <= x18 <= 1
0 <= x19 <= 1
0 <= x20 <= 1
0 <= x21 <= 1
0 <= x22 <= 1
0 <= x23 <= 1
0 <= x24 <= 1
0 <= x25 <= 1
0 <= x26 <= 1
0 <= x27 <= 1
0 <= x28 <= 1
0 <= x29 <= 1
0 <= x30 <= 1
0 <= x31 <= 1
0 <= x32 <= 1
0 <= x33 <= 1
0 <= x34 <= 1
0 <= x35 <= 1
0 <= x36 <= 1
0 <= x37 <= 1
0 <= x38 <= 1
0 <= x39 <= 1
0 <= x40 <= 1
0 <= x41 <= 1
0 <= x42 <= 1
0 <= x43 <= 1
0 <= x44 <= 1
0 <= x45 <= 1
0 <= x46 <= 1
0 <= x47 <= 1
0 <= x48 <= 1
0 <= x49 <= 1
0 <= x50 <= 1
0 <= x51 <= 1
0 <= x52 <= 1
0 <= x53 <= 1
0 <= x54 <= 1
0 <= x55 <= 1
0 <= x56 <= 1
0 <= x57 <= 1
0 <= x58 <= 1
0 <= x59 <= 1
0 <= x60 <= 1
0 <= x61 <= 1
0 <= x62 <= 1
0 <= x63 <= 1
0 <= x64 <= 1
0 <= x65 <= 1
0 <= x66 <= 1
0 <= x67 <= 1
0 <= x68 <= 1
0 <= x69 <= 1
0 <= x70 <= 1
0 <= x71 <= 1
0 <= x72 <= 1
0 <= x73 <= 1
0 <= x74 <= 1
0 <= x75 <= 1
0 <= x76 <= 1
0 <= x77 <= 1
0 <= x78 <= 1
0 <= x79 <= 1
0 <= x80 <= 1
0 <= x81 <= 1
0 <= x82 <= 1
0 <= x83 <= 1
0 <= x84 <= 1
0 <= x85 <= 1
0 <= x86 <= 1
0 <= x87 <= 1
0 <= x88 <= 1
0 <= x89 <= 1
0 <= x90 <= 1
0 <= x91 <= 1
0 <= x92 <= 1
0 <= x93 <= 1
0 <= x94 <= 1
0 <= x95 <= 1
0 <= x96 <= 1
0 <= x97 <= 1
0 <= x98 <= 1
0 <= x99 <= 1
0 <= x100 <= 1
0 <= x101 <= 1
0 <= x102 <= 1
0 <= x103 <= 1
0 <= x104 <= 1
0 <= x105 <= 1
0 <= x106 <= 1
0 <= x107 <= 1
0 <= x108 <= 1
0 <= x109 <= 1
0 <= x110 <= 1
0 <= x111 <= 1
0 <= x112 <= 1
0 <= x113 <= 1
0 <= x114 <= 1
0 <= x115 <= 1
0 <= x116 <= 1
0 <= x117 <= 1
0 <= x118 <= 1
0 <= x119 <= 1
0 <= x120 <= 1
0 <= x121 <= 1
0 <= x122 <= 1
0 <= x123 <= 1
0 <= x124 <= 1
0 <= x125 <= 1
0 <= x126 <= 1
0 <= x127 <= 1
0 <= x128 <= 1
0 <= x129 <= 1
0 <= x130 <= 1
0 <= x131 <= 1
0 <= x132 <= 1
0 <= x133 <= 1
0 <= x134 <= 1
0 <= x135 <= 1
0 <= x136 <= 1
0 <= x137 <= 1
0 <= x138 <= 1
0 <= x139 <= 1
0 <= x140 <= 1
0 <= x141 <= 1
0 <= x142 <= 1
0 <= x143 <= 1
0 <= x144 <= 1
0 <= x145 <= 1
0 <= x146 <= 1
0 <= x147 <= 1
0 <= x148 <= 1
0 <= x149 <= 1
0 <= x150 <= 1
0 <= x151 <= 1
0 <= x152 <= 1
0 <= x153 <= 1
0 <= x154 <= 1
0 <= x155 <= 1
0 <= x156 <= 1
0 <= x157 <= 1
0 <= x158 <= 1
0 <= x159 <= 1
0 <= x160 <= 1
0 <= x161 <= 1
0 <= x162 <= 1
0 <= x163 <= 1
0 <= x164 <= 1
0 <= x165 <= 1
0 <= x166 <= 1
0 <= x167 <= 1
0 <= x168 <= 1
0 <= x169 <= 1
0 <= x170 <= 1
0 <= x171 <= 1
0 <= x172 <= 1
0 <= x173 <= 1
0 <= x174 <= 1
0 <= x175 <= 1
0 <= x176 <= 1
0 <= x177 <= 1
0 <= x178 <= 1
0 <= x179 <= 1
0 <= x180 <= 1
0 <= x181 <= 1
0 <= x182 <= 1
0 <= x183 <= 1
0 <= x184 <= 1
0 <= x185 <= 1
0 <= x186 <= 1
0 <= x187 <= 1
0 <= x188 <= 1
0 <= x189 <= 1
0 <= x190 <= 1
0 <= x191 <= 1
0 <= x192 <= 1
0 <= x193 <= 1
0 <= x194 <= 1
0 <= x195 <= 1
0 <= x196 <= 1
0 <= x197 <= 1
0 <= x198 <= 1
0 <= x199 <= 1
0 <= x200 <= 1
0 <= x201 <= 1
0 <= x202 <= 1
0 <= x203 <= 1
0 <= x204 <= 1
0 <= x205 <= 1
0 <= x206 <= 1
0 <= x207 <= 1
0 <= x208 <= 1
0 <= x209 <= 1
0 <= x210 <= 1
0 <= x211 <= 1
0 <= x212 <= 1
0 <= x213 <= 1
0 <= x214 <= 1
0 <= x215 <= 1
0 <= x216 <= 1
0 <= x217 <= 1
0 <= x218 <= 1
0 <= x219 <= 1
0 <= x220 <= 1
0 <= x221 <= 1
0 <= x222 <= 1
0 <= x223 <= 1
0 <= x224 <= 1
0 <= x225 <= 1
0 <= x226 <= 1
0 <= x227 <= 1
0 <= x228 <= 1
0 <= x229 <= 1
0 <= x230 <= 1
0 <= x231 <= 1
0 <= x232 <= 1
0 <= x233 <= 1
0 <= x234 <= 1
0 <= x235 <= 1
0 <= x236 <= 1
0 <= x237 <= 1
0 <= x238 <= 1
0 <= x239 <= 1
0 <= x240 <= 1
0 <= x241 <= 1
0 <= x242 <= 1
0 <= x243 <= 1
0 <= x244 <= 1
0 <= x245 <= 1
0 <= x246 <= 1
0 <= x247 <= 1
0 <= x248 <= 1
0 <= x249 <= 1
0 <= x250 <= 1
-inf <= x251 <= +inf
-inf <= x252 <= +inf
-inf <= x253 <= +inf
-inf <= x254 <= +inf
-inf <= x255 <= +inf
-inf <= x256 <= +inf
-inf <= x257 <= +inf
-inf <= x258 <= +inf
-inf <= x259 <= +inf
-inf <= x260 <= +inf
-inf <= x261 <= +inf
-inf <= x262 <= +inf
-inf <= x263 <= +inf
-inf <= x264 <= +inf
-inf <= x265 <= +inf
-inf <= x266 <= +inf
-inf <= x267 <= +inf
-inf <= x268 <= +inf
-inf <= x269 <= +inf
-inf <= x270 <= +inf
-inf <= x271 <= +inf
-inf <= x272 <= +inf
-inf <= x273 <= +inf
-inf <= x274 <= +inf
-inf <= x275 <= +inf
-inf <= x276 <= +inf
-inf <= x277 <= +inf
-inf <= x278 <= +inf
-inf <= x279 <= +inf
-inf <= x280 <= +inf
-inf <= x281 <= +inf
-inf <= x282 <= +inf
-inf <= x283 <= +inf
-inf <= x284 <= +inf
-inf <= x285 <= +inf
-inf <= x286 <= +inf
-inf <= x287 <= +inf
-inf <= x288 <= +inf
-inf <= x289 <= +inf
-inf <= x290 <= +inf
-inf <= x291 <= +inf
-inf <= x292 <= +inf
-inf <= x293 <= +inf
-inf <= x294 <= +inf
-inf <= x295 <= +inf
-inf <= x296 <= +inf
-inf <= x297 <= +inf
-inf <= x298 <= +inf
-inf <= x299 <= +inf
-inf <= x300 <= +inf
-inf <= x301 <= +inf
-inf <= x302 <= +inf
-inf <= x303 <= +inf
-inf <= x304 <= +inf
-inf <= x305 <= +inf
binary
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
x76
x77
x78
x79
x80
x81
x82
x83
x84
x85
x86
x87
x88
x89
x90
x91
x92
x93
x94
x95
x96
x97
x98
x99
x100
x101
x102
x103
x104
x105
x106
x107
x108
x109
x110
x111
x112
x113
x114
x115
x116
x117
x118
x119
x120
x121
x122
x123
x124
x125
x126
x127
x128
x129
x130
x131
x132
x133
x134
x135
x136
x137
x138
x139
x140
x141
x142
x143
x144
x145
x146
x147
x148
x149
x150
x151
x152
x153
x154
x155
x156
x157
x158
x159
x160
x161
x162
x163
x164
x165
x166
x167
x168
x169
x170
x171
x172
x173
x174
x175
x176
x177
x178
x179
x180
x181
x182
x183
x184
x185
x186
x187
x188
x189
x190
x191
x192
x193
x194
x195
x196
x197
x198
x199
x200
x201
x202
x203
x204
x205
x206
x207
x208
x209
x210
x211
x212
x213
x214
x215
x216
x217
x218
x219
x220
x221
x222
x223
x224
x225
x226
x227
x228
x229
x230
x231
x232
x233
x234
x235
x236
x237
x238
x239
x240
x241
x242
x243
x244
x245
x246
x247
x248
x249
x250
end
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