////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page33.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10387)

Problem:
10392*x_1+10393*x_2+10391*x_3+10387*x_4+10389*x_5=10388 (mod 10390)
10400*x_1+10399*x_2+10396*x_3+10394*x_4+10398*x_5=10395 (mod 10397)
10406*x_1+10402*x_2+10403*x_3+10405*x_4+10407*x_5=10401 (mod 10404)
10413*x_1+10410*x_2+10414*x_3+10411*x_4+10408*x_5=10412 (mod 10409)
10415*x_1+10420*x_2+10417*x_3+10419*x_4+10418*x_5=10421 (mod 10416)
10428*x_1+10424*x_2+10427*x_3+10425*x_4+10422*x_5=10423 (mod 10426)
10429*x_1+10433*x_2+10431*x_3+10432*x_4+10430*x_5=10434 (mod 10435)
10437*x_1+10442*x_2+10436*x_3+10439*x_4+10438*x_5=10441 (mod 10440)

Solution:
x_1=46229272956137209668810273330
x_2=30168813417658892785494553322
x_3=37377290959931371592648119160
x_4=18021193855681197017883914595
x_5=6007064618560399005961304865