P118.yml

inputs:
  x1:  { lower: 8,  upper: 21  }
  x2:  { lower: 43, upper: 57  }
  x3:  { lower: 3,  upper: 16  }
  x4:  { lower: 0,  upper: 90  }
  x5:  { lower: 0,  upper: 120 }
  x6:  { lower: 0,  upper: 60  }
  x7:  { lower: 0,  upper: 90  }
  x8:  { lower: 0,  upper: 120 }
  x9:  { lower: 0,  upper: 60  }
  x10: { lower: 0,  upper: 90  }
  x11: { lower: 0,  upper: 120 }
  x12: { lower: 0,  upper: 60  }
  x13: { lower: 0,  upper: 90  }
  x14: { lower: 0,  upper: 120 }
  x15: { lower: 0,  upper: 60  }

#This translation of the P118 problem was verified to be the correct translation of the below text
objectives:
  c0:  -x4+x1-7
  c1:  +x4-x1-6
  c2:  -x5+x2-7
  c3:  +x5-x2-7
  c4:  -x6+x3-7
  c5:  +x6-x3-6
  c6:  -x7+x4-7
  c7:  +x7-x4-6
  c8:  -x8+x5-7
  c9:  +x8-x5-7
  c10: -x9+x6-7
  c11: +x9-x6-6
  c12: -x10+x7-7
  c13: +x10-x7-6
  c14: -x11+x8-7
  c15: +x11-x8-7
  c16: -x12+x9-7
  c17: +x12-x9-6
  c18: -x13+x10-7
  c19: +x13-x10-6
  c20: -x14+x11-7
  c21: +x14-x11-7
  c22: -x15+x12-7
  c23: +x15-x12-6
  c24: -x1-x2-x3+60
  c25: -x4-x5-x6+50
  c26: -x7-x8-x9+70
  c27: -x10-x11-x12+85
  c28: -x13-x14-x15+100

# lb = [8;43;3;0;0;0;0;0;0;0;0;0;0;0;0]
# ub = [21;57;16;90;120;60;90;120;60;90;120;60;90;120;60]
# ccnt = 1;
# c = []
# for i = 1:4
#     c(ccnt,:) = -x(3*i+1,:)+x(3*i-2,:)-7;
#     c(ccnt+1,:) = x(3*i+1,:)-x(3*i-2,:)-6;
#     c(ccnt+2,:) = -x(3*i+2,:)+x(3*i-1,:)-7;
#     c(ccnt+3,:) = x(3*i+2,:)-x(3*i-1,:)-7;
#     c(ccnt+4,:) = -x(3*i+3,:)+x(3*i,:)-7;
#     c(ccnt+5,:) = x(3*i+3,:)-x(3*i,:)-6;
#     ccnt = ccnt +6;
# end
# c(ccnt,:) = -x(1,:)-x(2,:)-x(3,:)+60;
# c(ccnt+1,:) = -x(4,:)-x(5,:)-x(6,:)+50;
# c(ccnt+2,:) = -x(7,:)-x(8,:)-x(9,:)+70;
# c(ccnt+3,:) = -x(10,:)-x(11,:)-x(12,:)+85;
# c(ccnt+4,:) = -x(13,:)-x(14,:)-x(15,:)+100;
# ceq = [];