////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page8.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10111)

Problem:
10114*x_1+10113*x_2+10115*x_3+10111*x_4+10112*x_5=10117 (mod 10116)
10121*x_1+10123*x_2+10122*x_3+10119*x_4+10120*x_5=10124 (mod 10118)
10130*x_1+10127*x_2+10129*x_3+10131*x_4+10126*x_5=10128 (mod 10125)
10137*x_1+10135*x_2+10134*x_3+10138*x_4+10132*x_5=10133 (mod 10136)
10141*x_1+10139*x_2+10142*x_3+10144*x_4+10140*x_5=10145 (mod 10143)
10146*x_1+10147*x_2+10149*x_3+10150*x_4+10152*x_5=10148 (mod 10151)
10158*x_1+10155*x_2+10159*x_3+10153*x_4+10157*x_5=10156 (mod 10154)
10165*x_1+10160*x_2+10166*x_3+10161*x_4+10162*x_5=10163 (mod 10164)

Solution:
x_1=1062890898069296641964626
x_2=1379314090073020928188547
x_3=1593816769206112277511685
x_4=75651425904304186626690
x_5=844774255931396750664705